diff --git a/research/.gitattributes b/research/.gitattributes index 2f7d5f18fc..b5806c358c 100644 --- a/research/.gitattributes +++ b/research/.gitattributes @@ -10,3 +10,6 @@ leech-lattice/** -text -whitespace turyn-code-space/** -text -whitespace turyn-port-labels/** -text -whitespace community-hyperplane599-audit/** -text -whitespace + +# Preserve the exact pinned phase-source bytes. +raw-selected-centre-units/provenance/** -text -whitespace diff --git a/research/publication-reviews/raw-selected-centre-units/BODY-CLAIM-CHECK.json b/research/publication-reviews/raw-selected-centre-units/BODY-CLAIM-CHECK.json new file mode 100644 index 0000000000..faa24d570c --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/BODY-CLAIM-CHECK.json @@ -0,0 +1,33 @@ +{ + "accepted_package_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "accepted_package_review_sha256": "4680449709c9fb19e6e656cba15b486461065ff8d16e06636ff0556949e0dc47", + "body_path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/publication-wrap-20261022/raw-selected-centre-units-body.template.md", + "body_sha256": "b01ee196f2dbc76a3938d4f9b0d81f19bd47c6e6ea9e297e9d10f6360c9a7a6d", + "claims_checked": [ + "Actual S38 two-unit witness versus restricted complete-minor S40; no arbitrary-subset minimum", + "Raw S8 rational scans and singular original-X response versus changed signed S8 dyadic response", + "Short normalization applies -L^-1 first and lower shear on changed selected values", + "Complete local costs, native profile and mass, helper and owned contracts", + "Historical source pins versus current selected record; no transfer or kappa claim", + "Fresh replay scope, meaningful controls, source credit and preserved notices", + "Inherited and unexecuted global obligations" + ], + "corrections_applied": [ + { + "evidence": "The dyadic-witness stage runs numerical bound assertions and emits lower_cardinality_intervals and minimum_proved=12. This does not establish independent review or adoption of the full lower-bound proof.", + "issue": "Body previously grouped the producer lower-twelve claim with checks that did not run.", + "resolution": "Body now says the lower-twelve and later separator claims are not adopted. The unexecuted-check list contains only checks that did not run." + } + ], + "material_findings_remaining": [], + "new_replays_run": false, + "prior_acceptance_receipt_clarification": "INITIAL-REVIEW.json preserves the earlier wording. REVIEW.json now states that independent validation of the producer lower-bound theorem and later separator claims was not performed. The frozen producer numeric assertions did run as part of the dyadic-witness stage. REVIEW.md and the corrected PR body retain the accurate did-not-adopt wording.", + "proof_sha256": "1f3f7e86573379cfecacd938a8915520e9a1e452abb45637b12d799c7e4329df", + "remaining_publication_steps": [ + "Replace each COMMIT placeholder with the exact publication commit", + "Coordinator verifies final GitHub file objects and links, rendered Markdown, and published readback" + ], + "review_date": "2026-10-22", + "review_type": "Separate OpenAI Codex agent claim check; no human review claim", + "status": "PASS_RAW_SELECTED_CENTRE_UNITS_BODY_LOCAL_CLAIMS" +} diff --git a/research/publication-reviews/raw-selected-centre-units/COLD-PATH.txt b/research/publication-reviews/raw-selected-centre-units/COLD-PATH.txt new file mode 100644 index 0000000000..281d22b0a5 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/COLD-PATH.txt @@ -0,0 +1 @@ +/private/tmp/raw-selected-centre-units-review-20261022 diff --git a/research/publication-reviews/raw-selected-centre-units/COLD-REPLAY.json b/research/publication-reviews/raw-selected-centre-units/COLD-REPLAY.json new file mode 100644 index 0000000000..5debeaf17e --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/COLD-REPLAY.json @@ -0,0 +1,183 @@ +{ + "child_cwd": "Fresh temporary workspace under the external output directory", + "command": [ + "python3", + "-I", + "-B", + "/private/tmp/raw-selected-centre-units-review-20261022/package/reproduce.py", + "--out", + "/private/tmp/raw-selected-centre-units-review-20261022/output" + ], + "copied_package_changes": {}, + "copied_package_files": 194, + "free_bytes_after": 8970047488, + "fresh_replay": { + "frozen_inputs_unchanged": true, + "manifest_sha256": "ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f", + "old_new_R_equal": true, + "optimized_reviewers": false, + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "replay_sha256": "0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd", + "schema": "raw-selected-centre-units-replay-v1", + "scope": "Exact local units and native words. 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No mathematical claim or replay code change.", + "code_and_proof_unchanged": true, + "final_manifest_verified": true, + "final_package_files_excluding_manifest": 256, + "final_package_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf" + }, + "status": "PASS_INDEPENDENT_SELECTED_UNITS_COLD_REPLAY" +} diff --git a/research/publication-reviews/raw-selected-centre-units/INDEPENDENT-AUDIT.json b/research/publication-reviews/raw-selected-centre-units/INDEPENDENT-AUDIT.json new file mode 100644 index 0000000000..afd63ea8e1 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/INDEPENDENT-AUDIT.json @@ -0,0 +1,210 @@ +{ + "S38_gram_formula_checked": true, + "complete_minor_H_unit_k": [ + 5, + 9, + 11, + 12, + 14 + ], + "complete_minor_both_unit_k": [ + 5, + 9 + ], + "complete_word_invoices": { + "eight/base/balanced_backward": [ + 91264, + 0 + ], + "eight/base/balanced_forward": [ + 91472, + 0 + ], + "eight/base/diagonal_backward": [ + 92704, + 0 + ], + "eight/base/long_normalized_backward": [ + 99472, + 0 + ], + "eight/base/raw_backward": [ + 87568, + 0 + ], + "eight/base/raw_forward": [ + 87776, + 0 + ], + "eight/base/short_normalized_backward": [ + 89200, + 0 + ], + "eight/extra/balanced_backward": [ + 91264, + 0 + ], + "eight/extra/balanced_forward": [ + 91472, + 0 + ], + "eight/extra/diagonal_backward": [ + 92704, + 0 + ], + "eight/extra/long_normalized_backward": [ + 99472, + 0 + ], + "eight/extra/raw_backward": [ + 87568, + 0 + ], + "eight/extra/raw_forward": [ + 87776, + 0 + ], + "eight/extra/short_normalized_backward": [ + 89200, + 0 + ], + "five_minors/base/balanced_backward": [ + 170274, + 0 + ], + "five_minors/base/balanced_forward": [ + 171266, + 0 + ], + "five_minors/base/diagonal_backward": [ + 171554, + 0 + ], + "five_minors/extra/balanced_backward": [ + 170274, + 0 + ], + "five_minors/extra/balanced_forward": [ + 171266, + 0 + ], + "five_minors/extra/diagonal_backward": [ + 171554, + 0 + ], + "irregular/base/balanced_backward": [ + 170446, + 0 + ], + "irregular/base/balanced_forward": [ + 171290, + 0 + ], + "irregular/base/diagonal_backward": [ + 171662, + 0 + ], + "irregular/extra/balanced_backward": [ + 170446, + 0 + ], + "irregular/extra/balanced_forward": [ + 171290, + 0 + ], + "irregular/extra/diagonal_backward": [ + 171662, + 0 + ], + "one_minor/base/balanced_backward": [ + 171474, + 16 + ], + "one_minor/base/balanced_forward": [ + 171650, + 0 + ], + "one_minor/base/diagonal_backward": [ + 171730, + 16 + ], + "one_minor/extra/balanced_backward": [ + 171474, + 16 + ], + "one_minor/extra/balanced_forward": [ + 171650, + 0 + ], + "one_minor/extra/diagonal_backward": [ + 171730, + 16 + ], + "twenty_four/base/long_normalized_backward": [ + 96012, + 0 + ], + "twenty_four/base/short_normalized_backward": [ + 89592, + 0 + ], + "twenty_four/extra/long_normalized_backward": [ + 96012, + 0 + ], + "twenty_four/extra/short_normalized_backward": [ + 89592, + 0 + ] + }, + "det_T": "16777216", + "det_W": "4096", + "git_source_files_compared": 10, + "independent_two_component_suffix_cases": 12, + "limits": "Independent bounded source, geometry, price, and suffix checks. 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Full native phases and all arbitrary columns are checked by the separate cold package replay. No minimum or global supplier claim.", + "provider_payloads_match_both_pinned_PRs": [ + { + "payload_sha256": "49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e", + "provider": "base" + }, + { + "payload_sha256": "34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731", + "provider": "extra" + } + ], + "response_unit_invoices": { + "A": 7452, + "inverse_A": 7412 + }, + "source_Git_objects_unavailable": [ + { + "commit": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "file": "provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py", + "source_repository_path": "research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py" + }, + { + "commit": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "file": "provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py", + "source_repository_path": 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Four reads were fresh Contents and blob reads; the compiler reused the same exact-commit readback.", + "source_commit": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "source_readback_receipt_sha256": "ff39a9f128d8201d826ed2737eb273fcea00946bae3b4e68545fd18483a584f9", + "status": "PASS_INDEPENDENT_DECODE_OF_PR2588_PRIMARY_READBACK" + }, + "publication_updates_reviewed": [ + "Added normal and optimized producer validation receipts", + "Added README validation links and exact source-credit notes", + "Added PR2588 exact primary readback evidence and applicable notices; replay inputs unchanged" + ], + "replay_entrypoint_sha256": "0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd", + "replay_source_manifest_sha256": "ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f", + "review_date": "2026-10-22", + "review_files_sha256": { + "COLD-REPLAY.json": "68b1744654350ff1e0bca0d6c7c2724d64df38c7ca34badac1159a5309a34538", + "INDEPENDENT-AUDIT.json": "26866e5cf9742f5ed95f15b2894edaac27e7d4b92627d926e27d4e731046fd06", + "INPUT-HASHES.json": "99c52bf56c2477f727ecebb09942dd17efec34dca1f97b4fba8ac483f505d1e9", + "PRIMARY-READBACK-CHECK.json": "a34a036ce807e9cdc2cdc5cfa233c81877fa0fe414fdf8ecd40c07e972016eee", + "REVIEW.md": "2bb2a64280b7c5968a3758e9939bfc1789c8bd8d634d0f3163e05b5677fac9b5", + "independent_audit.py": "497adef170a529bcd06ba28a3fc387ecd10bc23909c3207f70dc71f52ffd933e" + }, + "review_type": "Separate OpenAI Codex agent review; not a human review or formal proof", + "reviewed_package": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/publication-wrap-20261022/packages/raw-selected-centre-units", + "reviewed_package_files_excluding_manifest": 256, + "reviewed_package_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "status": "PASS_SCOPED_RAW_SELECTED_CENTRE_UNITS_PUBLICATION_REVIEW" +} diff --git a/research/publication-reviews/raw-selected-centre-units/REVIEW.md b/research/publication-reviews/raw-selected-centre-units/REVIEW.md new file mode 100644 index 0000000000..e3b08a44cb --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/REVIEW.md @@ -0,0 +1,155 @@ +# Selected-centre units publication review + +The package passes for its stated local claims. No material mathematical +error was found. This is a separate OpenAI Codex agent review. It is not +a human review, a formal proof check, or a complete supplier admission. + +The replay input manifest has SHA-256 +`ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f`. +The replay entrypoint has SHA-256 +`0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd`. +The review did not change frozen proofs, programs, source inputs, or +historical receipts. The final package manifest and publication-only +additions are recorded separately in `REVIEW.json`. + +## Accepted algebra and scope + +For the actual raw response, R K = 14I. The ordinary block H is a dyadic +unit exactly when T = R_S K_S - 13I is. After the ordinary inverse and +selected upper correction, the original-X response A is a dyadic unit +exactly when W = I - R_S K_S is, provided T is a unit. These are distinct +conditions. The full two-bank word can retain information in Y when A +is singular. + +The actual 38-port witness satisfies both conditions. Its determinants +are det(T) = 2^24, det(W) = 2^12, and det(A) = 2^-12. The displayed Gram +factorization follows from the actual selected source columns. The +independent root check verifies both inverse orders on all 112 data +coordinates. For unions of the specified complete eight-port minors, +the first simultaneous unit occurs at five minors, or 40 ports. Neither +fact proves a minimum over arbitrary selected sets. The separate fixed +pair class has additional restrictions and is not used as such a bound. + +The general short normalization needs a selected principal unit L and +the lower block D. It first applies -L^-1 to selected X, then uses the +changed selected X in the lower shear. It does not require an inverse +of H or of the full response. The complete borrowed-Y terms and all +port-operator products retain their order. + +The old raw S8 backward word is rational: its 16 real division-by-three +scans have a separate price and common-grid contract. Its original-X +response has nullity eight even with exact division. The signed S8 +short word uses a different response, has dyadic coefficients, and has +no odd-division scan. The package states this distinction correctly. + +The physical endpoints are input X_p = Q_p x_p, Y_p = y_p, and output +X_p = F x'_p, Y_p = F Q_p^-1 y'_p. The actual signed Q_p commute with F. +No proof step or replay moves Q through a matrix that mixes ports. The +normalized original-X response is diag(Q_S,I_U); the borrowed-Y response +is still present. + +## Complete local words and cost + +The fresh replay checks both providers. It checks 12 serial S8/S40 words, +six S38 words, both S38 response-unit directions and inverse orders, +both complete S38 compositions with the response inverse, and 18 changed +response words. These checks cover all 640 local input columns, including +408 arbitrary helpers and eight owned inputs, and all 91 private zero +outputs. Owned admission permits CLEAR. This is separate from arbitrary +helper restoration. The old complete-minor replay uses its own +712-input, 480-helper core; those prices are not combined with the later +core prices. + +| Local word | Accepted real scalar cost | +| --- | ---: | +| Raw S38 balanced backward | 170,446 | +| Raw S38 diagonal-borrowed backward | 171,662 | +| Raw S38 balanced forward | 171,290 | +| Raw S38 diagonal-borrowed backward followed by A inverse | 179,074 | +| Signed S8 long normalized backward | 99,472 | +| Signed S8 short normalized backward | 89,200 | +| Structured S24 long normalized backward | 96,012 | +| Structured S24 short normalized backward | 89,592 | + +Each complete word retains 3,507 native children with profile +2433 H1 + 724 H2 + 228 H3 + 102 H4 + 20 H5 and rank mass 5,073. +The prices include the retained scalar core, physical exchanges, +boundary factors, and owned operations. The S38 response tapes cost +7,452 and 7,412. The short S8 suffix uses no owned field. The S24 suffix +restores C0 before each reuse and final reset; the reverse replay checks +zero observables at those sites, not only the cleared endpoint. + +## Fresh execution and separate audit + +The reviewer copied the package outside the repository and ran: + +```sh +python3 -I -B /private/tmp/raw-selected-centre-units-review-20261022/package/reproduce.py --out /private/tmp/raw-selected-centre-units-review-20261022/output +``` + +The parent working directory was `/private/tmp`. Every child ran in the +new temporary workspace. No active replay imported code from the source +workspace or required Git, a network, or an external Python package. +Python 3.14.7 on macOS ran one process at a time. All eight stages passed +in 143.444 seconds and ended with: + +```text +PASS_RAW_SELECTED_CENTRE_UNITS +``` + +Every mathematical receipt field matched the frozen result. The runner +excludes only timing, process memory, and checker-file hash fields from +that comparison. Every replay input hash was checked before and after +execution. The regenerated complete-minor payload also matched. The +copied package was unchanged. More than 8 GiB remained free. + +The fresh native phase stage checked 3,036 child classes per provider, +all endpoint and residual wrapper classes, and both literal warp +orientations. Its separate exact interpreter checks Pauli action and +the exact 512-entry zero-state vector, so it checks global phase too. +The scalar word checks bind every retained native record to those exact +phase inputs. Meaningful controls reject wrong global phase, a wrong +helper endpoint, omitted physical exchanges or factors, wrong Q order, +wrong suffix order, and a data-dependent C0 value erased before reuse. + +The separate `independent_audit.py` imports no package or producer code. +It compares 172 frozen files with their original workspace sources and +ten provenance files with local pinned Git objects. It compares both +provider payloads with both consumed PR #3133 and PR #3148 Git objects. +It reconstructs the S38 Gram formula and determinants, classifies the +14 complete-minor sizes, and counts all 36 complete word prices plus +both response-unit prices. Twelve separate two-component data fixtures +check both literal suffixes and a directly derived selected inverse and +lower shear. Six reversed-suffix controls fail as required. + +The five PR #2588 phase-generation source files have matching frozen +hashes, but that commit is absent from the local Git object store. The +independent audit records this limit. A separate agent obtained four +fresh exact-commit GitHub Contents and blob reads and reused a prior +exact-commit read of the compiler. This reviewer decoded those retained +responses and confirmed every byte and both hashes against the package. +`PRIMARY-READBACK-CHECK.json` records that check. These five modules are +retained source evidence; the fresh native checker does not import them. + +## Review boundary + +The reviewer read the submitted proof, scope and cost statements, +replay driver, native phase interpreter, complete-word review paths, +odd-grid checks, and retained independent proofs. The review accepted +the documented local conclusions. It did not adopt the dyadic producer's +lower bound of twelve, later separator claims, or a global minimum of +38. It did not rerun the large fixed-pair enumeration or regenerate the +complete historical phase-compiler output. + +Routed-stage transport, caller exterior phases, owner histories, child +hosting, final decoding, recursive precision, and complete supplier +pricing remain open. The historical mass 5,073 does not transfer to the +current selected supplier by this review. No complete kappa improvement +or selected-frontier change follows. Linux and other Python versions +were not executed by this reviewer. 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0000000000..3ce2f6313f --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/REVIEW.json @@ -0,0 +1,46 @@ +{ + "accepted_audit_rows": [ + "B05", + "B06", + "N06", + "N08", + "N10" + ], + "all_cold_outputs_equal_writer_outputs": true, + "annex_manifest_sha256": "691475b1729c75c8f50f79875223db7961d4f1ae8cea862c78d863d88b1c3b44", + "arbitrary_input_columns_per_word": 640, + "body_addendum_sha256": "fa6fa3a2362441583ac66bec0fd938227e0cab1e8a3062366b9ca4e9f3997048", + "cold_replay_passed": true, + "complete_words_per_mode": 36, + "decision": "Accept the stated annex claims. No material finding remains. External publication checks remain with the coordinator.", + "frozen_receipts_byte_equal": true, + "normal_and_optimized_runs": 12, + "not_run": [ + "Retained core-phase suite", + "Parent package suite", + "Original producer emission", + "Current selected supplier replay", + "Recursive precision theorem", + "Complete supplier or kappa calculation", + "GitHub link verification and rendered publication readback" + ], + "old_package_files_unchanged": 299, + "proof_read_and_checkers_audited": true, + "records": { + "BODY-CLAIM-CHECK.json": "2f116c87d04e78d8d378471c04fd1b00b2e427db56084dc53b7bee2806924988", + "CLOSURE-CHECK.json": "1a563827c6304c5537555a6c12400ecb0dc19966009498a08e933589d9ce1150", + "COLD-INPUTS.json": "7ef215d0d9f30fc383358f968fce7796c79efbc348d09f3e5a83148f13bc6ad2", + "COLD-REPLAY-CHECK.json": "7ffbda3fad5be702415f9cc015ea750909c725cc02409ec1e5f9ca8b67be7751", + "EXISTING-PACKAGE-PINS.json": "e758fab5cd21f82099ae87520e78845f5223d0f6a59c9ad2705c14573d3af4ce", + "FINAL-PACKAGE-CHECK.json": "9e8b1023100751d1666133a6d5a2e7864d05e21eee708fde91a4de61a640be30", + "HISTORICAL-FREEZE-CHECK.json": "854b99bd9ba46223368a9493d2c613a07d35c2470d6b1e46b5b1cc34adfa9bcc", + "SOURCE-PINS.json": "e7d4eda24e51ee2599e874353b6f70e82f40719777f5071cde92f2cb5198a984" + }, + "replay_receipt_sha256": "90feb92deb50b66cb6a88c0f5bd3194a1b297bfccba6bcb338a5ff92d938c67c", + "review_md_sha256": "00b4f542348911d851a2b5ad21c086416127d15615998fa6f0cb79a6d968e2f9", + "reviewer": "Separate OpenAI Codex agent; no human review claimed.", + "runner_sha256": "370f2dd854c2ec60c902e93228fc5a07a5d71e2bcf021ded6710fac63d405ce7", + "source_manifest_sha256": "20adcbc91302737328e9ea602507e96444073d3ce65ef3d64ad393e0ef8223a7", + "status": "PASS_INDEPENDENT_SELECTED_INTERFACE_FAMILIES_PUBLICATION_REVIEW", + "verified_kappa_improvement": false +} diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/REVIEW.md b/research/publication-reviews/raw-selected-centre-units/final-annex-review/REVIEW.md new file mode 100644 index 0000000000..37c2913860 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/REVIEW.md @@ -0,0 +1,165 @@ +# Independent review of the selected-interface families annex + +The five stated families pass this publication review. No material finding +remains in the package claims. The result adds local constructions, +algebraic interface theorems, finite classifications, and a scoped metric +obstruction. It does not establish a complete supplier or a kappa +improvement. The original breakthrough objective remains unresolved. + +This is a separate OpenAI Codex agent review. It is not human review, +maintainer approval, or formal verification of the multiplication theorem. +The reviewer read `PR-DESCRIPTION-STANDARD.md` before this review. The +coordinator owns final GitHub source checks, description rendering, and +publication. + +## Exact accepted package + +The accepted annex is `annexes/selected-interface-families` in the +`raw-selected-centre-units` package. Its `ANNEX-MANIFEST.json` has SHA-256 + +```text +691475b1729c75c8f50f79875223db7961d4f1ae8cea862c78d863d88b1c3b44 +``` + +The manifest lists 167 members with 20,522,129 bytes. The annex has 168 +files with the manifest included. The source list has 133 entries with +20,331,778 bytes. Every source copy equals its original campaign file. +All 21 compressed inputs have both container and decompressed hashes. +The five historical freezes and all 37 listed artifacts match their +recorded hashes. All 299 prior parent, core, and spectral files remain +unchanged. The final file set has no unlisted file. + +The [source check](CLOSURE-CHECK.json), [historical freeze check](HISTORICAL-FREEZE-CHECK.json), +and [final package check](FINAL-PACKAGE-CHECK.json) give the exact records. +All 16 local links in the two new documents resolve. External PR links +and the final commit-pinned description remain coordinator checks. + +## Proof review + +The reviewer read the actual proofs, original independent reviews, six +decisive checkers, and the imported reverse interpreters and line-kernel +engine. The review checked the following points. + +1. **Complete minors.** The inverse formulas follow from + `G_U^2=(d-k)lambda G_U` and `GPG=(d-2k)lambda G`. The principal + blocks of the inverses force the two power-of-two denominators. + This proves the criterion for unions of the specified complete + minors; it does not classify irregular selected sets. In the actual + six-minor instance, all 64 unions and all 20 balanced splits are + checked. The one-minor kernel and modulo-five query bound have the + stated algebraic scope. The serial gauges use one owned zero field, + and their literal words return it to zero after each query. + +2. **Positive diagonal metrics.** The exact witness checks all 112 + coefficient polynomials for the specified 42-dimensional symmetric + family. The two-variable positive block has determinant `5/144`. + Positivity of every diagonal entry forces coefficients 32 through + 41 to vanish. The remaining response has rank at most 64. This does + not restrict a larger response space, nonsymmetric reciprocal + responses, or nondiagonal interface gauges. + +3. **Signed principal pivots.** The two outer block factors are shears; + their middle factors are dyadic units under the stated minor + hypotheses. The six-step word uses arbitrary ordinary data as its + centre coordinates and does not erase that data. The general data + interface and its displayed inverse multiply to the identity in + both orders without an operator commutation assumption. The actual + graph has six eight-cycles and three pairs of four-cycles. One + parity condition per cycle gives exactly 960 choices in this fixed + construction. Only the displayed choice has emitted and priced + gauge words. Jacobi's identity gives the sharp selection-size bound + of eight within the component-sign family. It is not a native + capture-rank bound. + +4. **Raw and signed local words.** The raw selected exchange keeps + the port operators in their written order. In B0, selected Y is + `F Q_A^-1 Q_A a=F a`; the inverse formula proves information + preservation, not a free decoder. B8 and B16 retain the correction + terms that follow from `BD=13I`. The signed-unit and oblique words + use the separate response `S=I-KR-Pi` and its exact dyadic inverse. + They are not the component-sign response of the 960-choice result. + The two families have different owned-output contracts. The annex + states those contracts and the full local invoices separately. + +5. **Direct live-field suffix.** The identity + `Q_v=P_G Q_e0 P_G^-1` holds with the displayed zero-phase + permutation wrappers. Translation commutation gives `Q_v F=F Q_v` + with the full global phase. The subtraction reads current physical + `Y_S=q d` and `X_U=k`, for arbitrary d. Its targets are not its + sources, so the scaled subtraction has the same map and saves 288 + scalar primitives. All eight added H1 children and sixteen wrappers + remain explicit. No caller hosting or descriptor cost is inferred + from the local identity. + +The stated native invoices are literal local invoices on pinned +historical providers. They are not admissions into the current selected +supplier. Routed access, exterior phases, decoder operations, owner +histories, storage, recursive child hosting, precision, and complete +cost remain separate obligations. + +## Cold reproduction + +The reviewer copied the candidate annex to a new temporary directory +and ran its unmodified `replay.py` with Python 3.14.7. Only one checker +process ran at a time. Free disk space exceeded 3 GiB before and after +the run. The runner made its own separate source trees for normal and +optimized Python. The original checkers were not edited or adapted. + +The public reproduction command, run from the annex directory with a +new output path outside that directory, is: + +```sh +python3 -I -B replay.py --out /tmp/selected-interface-families-review +``` + +The final marker is: + +```text +PASS_SELECTED_INTERFACE_FAMILIES_ANNEX +``` + +All six checks passed in both modes. They cover 36 complete local words +per mode with all 640 arbitrary live and owned input columns, 408 +borrowed helpers, and the stated 91 private zero-buffer lifetimes. They +also check the finite geometry, inverse identities, scalar frames and +costs, signed-line kernels, and 4,096 live-suffix kernel columns plus +4,096 FULL-commutation columns. Negative controls reject omitted +exchanges, wrong line signs, wrong oblique returns, borrowed-helper +clears, and the missing live-field subtraction. + +Every receipt and log equals the writer's corresponding output byte +for byte. The final cold receipt SHA-256 is: + +```text +90feb92deb50b66cb6a88c0f5bd3194a1b297bfccba6bcb338a5ff92d938c67c +``` + +The [cold check record](COLD-REPLAY-CHECK.json) gives the command, runtime +version, and pins. The [cold receipt](cold-replay/REPLAY.json) and its +adjacent check outputs retain the evidence. The only change after the +cold copy was four full GitHub PR links in `NOTICE.md`; that link-only +change was read and checked. No mathematical source, checker, runner, +or scope text changed. + +The retained core phase suite, parent package suite, and original +emitters were not rerun. The exact retained phase evidence and the new +line-kernel checks have separate roles. No complete supplier, recursive +precision theorem, frontier selection, or complete kappa calculation +was run. These limits are explicit in the annex. + +## Description claim check + +The reviewer read the outside PR-body addendum with SHA-256 + +```text +fa6fa3a2362441583ac66bec0fd938227e0cab1e8a3062366b9ca4e9f3997048 +``` + +Its claims, costs, counts, commands, and exclusions agree with the +accepted annex and fresh replay. It links the separate agent review +and states that no human review is claimed. Two wording changes made +the exact-identity checks and the separate cold review explicit. They +changed no mathematical claim or validation result. The body remains +a template: the coordinator must replace `COMMIT`, verify each exact +GitHub object, inspect the rendered description, and read publication +back. This review did not perform those external publication steps. diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/SOURCE-PINS.json b/research/publication-reviews/raw-selected-centre-units/final-annex-review/SOURCE-PINS.json new file mode 100644 index 0000000000..37c83db97b --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/SOURCE-PINS.json @@ -0,0 +1,142 @@ +{ + "audit_sha256": "c59020fa4576a41e752f6c35ac6118d2badd83041f720b276cfe01611bd203fe", + "rows": [ + { + "claim": "Actual changed native responses, all640 columns, all64 complete-minor unions, all20 balanced splits, V2 serial gauges, and42-parameter positive-metric obstruction.", + "id": "B05", + "sources": [ + { + "bytes": 2251, + "path": "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/FREEZE.json", + "sha256": "2cd35b044728ba32db28a4babb994f8de85c1f0f98dd24a87283991e8ca3607c" + }, + { + "bytes": 11529, + "path": "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.md", + "sha256": "f58c2482690b59822a57f50e435c05d1e2a3c2af2c0f061d0e45b59d9ba8e72e" + }, + { + "bytes": 6383, + "path": "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/COMPLETE-MINOR-INTERFACES.md", + "sha256": "6903b1986d0e6fbe26f144b39b7baca82b58b7f3d6be4027470191f305370487" + }, + { + "bytes": 911, + "path": "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/PEER-CHECK.md", + "sha256": "b0cfa8d74987a00e10608c640ebd00d9f531f45f86a61dfaf974c92456175cff" + } + ] + }, + { + "claim": "Actual native response, two-principal-unit interface, six-step ordinary factor, and960 algebraically valid selections. 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"matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 0 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 1 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 2 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 3 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 4 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 5 + } + ], + "checker_sha256": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "status": "PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS" +} diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/normal/stdout.log b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/normal/stdout.log new file mode 100644 index 0000000000..88ad625827 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/normal/stdout.log @@ -0,0 +1 @@ +PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/INTERFACES.json b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/INTERFACES.json new file mode 100644 index 0000000000..21a9bcf44a --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/INTERFACES.json @@ -0,0 +1,68 @@ +{ + "cases": [ + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 0 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + 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"matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 5 + } + ], + "checker_sha256": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "status": "PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS" +} diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/stdout.log b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/stdout.log new file mode 100644 index 0000000000..88ad625827 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/minor-endpoints/optimized/stdout.log @@ -0,0 +1 @@ +PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/REVIEW.json b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/REVIEW.json new file mode 100644 index 0000000000..b2e2777657 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/REVIEW.json @@ -0,0 +1,204 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "method": "Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.", + "providers": { + "base": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + 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"Local operator-coded maps and complete local costs, with exact core native and signed-line dependencies. Inter-call code conversion, exterior caller phases, controller, legal owner/hosting, precision, and full supplier remain separate.", + "source_pins": { + "CLEAN-J-PROGRAMS.json.gz": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "RAW-SELECTED-TRANSFER.json": "da1831b17a79a4fd9ebe689d4f76e357bc912eda1e6b252818a7ef5685b1a739", + "RAW-SELECTED-TRANSFER.json.gz": "bc9fab3bc7c849da7eb055a9d7340bf110c11cdd54da049a8297a1324bfa54b1", + "RAW-SELECTED-TRANSFER.md": "53d8663fab6c1a6999fbc29ac310675fbea2b45f607f2f702af9787305c4ab03", + "emit_raw_selected.py": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc" + }, + "status": "PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER", + "two_sided_inverse_checks": { + "B0": "both orders in the free Q algebra", + "F8": "both orders in the free Q algebra" + } +} diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/stdout.log b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/stdout.log new file mode 100644 index 0000000000..584a3fb34e --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/normal/stdout.log @@ -0,0 +1,11 @@ +base B0 PASS 168896 5073 +base B16 PASS 177312 5089 +base B8 PASS 173104 5081 +base F0 PASS 164944 5073 +base F8 PASS 169152 5081 +extra B0 PASS 168896 5073 +extra B16 PASS 177312 5089 +extra B8 PASS 173104 5081 +extra F0 PASS 164944 5073 +extra F8 PASS 169152 5081 +PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER diff --git a/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/optimized/REVIEW.json b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/optimized/REVIEW.json new file mode 100644 index 0000000000..b2e2777657 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/raw-words/optimized/REVIEW.json @@ -0,0 +1,204 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "method": "Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.", + "providers": { + "base": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + 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b/research/publication-reviews/raw-selected-centre-units/final-annex-review/cold-replay/structured/optimized/stdout.log @@ -0,0 +1,3 @@ +partial four native words and full invoice pass +structured four native words and full invoice pass +PASS_INDEPENDENT_STRUCTURED_CENTRE_REVIEW all64minor subsets;20balanced dyadic interfaces diff --git a/research/publication-reviews/raw-selected-centre-units/independent_audit.py b/research/publication-reviews/raw-selected-centre-units/independent_audit.py new file mode 100644 index 0000000000..94a5f505c0 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/independent_audit.py @@ -0,0 +1,252 @@ +"""Check source identity, unit geometry, complete prices, and suffix order. + +This review uses no package or producer imports. OpenAI Codex assisted it. +""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json +import subprocess + + +def need(value, message): + if not value: + raise ValueError(message) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == ".gz" else raw) + + +def blob(repo, commit, path): + return subprocess.check_output(["git", "-C", str(repo), "show", commit + ":" + path]) + + +def determinant(matrix): + rows = [[F(v) for v in row] for row in matrix] + result = F(1) + for col in range(len(rows)): + pivot = next((i for i in range(col, len(rows)) if rows[i][col]), None) + if pivot is None: + return F(0) + if pivot != col: + rows[col], rows[pivot] = rows[pivot], rows[col] + result *= -1 + value = rows[col][col] + result *= value + rows[col] = [x / value for x in rows[col]] + for i in range(col + 1, len(rows)): + value = rows[i][col] + rows[i] = [a - value * b for a, b in zip(rows[i], rows[col])] + return result + + +def inverse(matrix): + n = len(matrix) + rows = [[F(x) for x in row] + [F(i == j) for j in range(n)] + for i, row in enumerate(matrix)] + for col in range(n): + pivot = next(i for i in range(col, n) if rows[i][col]) + rows[col], rows[pivot] = rows[pivot], rows[col] + value = rows[col][col] + rows[col] = [x / value for x in rows[col]] + for i in range(n): + if i != col: + value = rows[i][col] + rows[i] = [a - value * b for a, b in zip(rows[i], rows[col])] + need([row[:n] for row in rows] == [[F(i == j) for j in range(n)] for i in range(n)], + "Independent selected inverse") + return [row[n:] for row in rows] + + +def price(kind, coefficient=0): + if kind in ("clear", "copy"): + return 2 + q = F(coefficient) + a, b = abs(q.numerator), q.denominator + need(a and b & (b - 1) == 0, "Nonzero dyadic coefficient") + if kind == "scale": + need(a & (a - 1) == 0, "Unit dyadic scale") + return 2 * (abs(a.bit_length() - b.bit_length()) + int(q < 0)) + need(kind == "add", "Known scalar kind") + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def complete_cost(program): + total, scans, children = 0, 0, Counter() + for event in program["retained_core"]: + if event[0] == "scalar": + gate = event[1] + coefficient = 0 if gate[0] in ("clear", "copy") else F(*gate[-2:]) + total += price(gate[0], coefficient) + elif event[0] == "climb": + children[event[-1]] += 1 + need(children == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, "Complete child census") + for event in program["prefix"] + program["input_exchange"] + program["suffix"] + program.get("owned_cleanup", []): + if event["kind"] == "divide_odd": + need(event["divisor"] == 3, "Separate exact third scan") + scans += 2 + else: + total += price(event["kind"], event.get("coefficient", 0)) + return total, scans + + +def add(a, b, coefficient=1): + return tuple(x + coefficient * y for x, y in zip(a, b)) + + +def mv(matrix, vector): + return [tuple(sum(c * vector[j][k] for j, c in enumerate(row)) for k in range(2)) + for row in matrix] + + +def qmap(value, port, sign): + a, b = value + scale = sign * (port % 3 + 1) + return (a + scale * b, b) if port % 2 else (a, b + scale * a) + + +def suffix(events, state): + state = list(state) + for event in events: + kind, target = event["kind"], event["target"] + if kind == "clear": + state[target] = (F(0), F(0)) + elif kind == "copy": + state[target] = state[event["source"]] + elif kind == "scale": + state[target] = tuple(F(event["coefficient"]) * x for x in state[target]) + else: + need(kind == "add", "Literal suffix kind") + state[target] = add(state[target], state[event["source"]], F(event["coefficient"])) + return state + + +def main(args): + package, repo = args.package.resolve(), args.repo.resolve() + manifest = read(package / "SOURCE-MANIFEST.json") + workspace_sources, git_sources, unavailable_git_sources = 0, 0, [] + for name, item in manifest["files"].items(): + raw = (package / name).read_bytes() + need(len(raw) == item["bytes"] and sha256(raw).hexdigest() == item["sha256"], "Manifest bytes: " + name) + if "decompressed_sha256" in item: + need(sha256(gzip.decompress(raw)).hexdigest() == item["decompressed_sha256"], "Payload bytes: " + name) + if "source_commit" in item: + exists = subprocess.run(["git", "-C", str(repo), "cat-file", "-e", item["source_commit"]], + stdout=subprocess.DEVNULL, stderr=subprocess.DEVNULL).returncode == 0 + if exists: + need(raw == blob(repo, item["source_commit"], item["source_repository_path"]), "Git source: " + name) + git_sources += 1 + else: + unavailable_git_sources.append({"file": name, "commit": item["source_commit"], + "source_repository_path": item["source_repository_path"]}) + else: + need(raw == (repo / item["source_workspace_path"]).read_bytes(), "Frozen source: " + name) + workspace_sources += 1 + lanes = package / "frozen/work/centre-encoding-campaign-20261014/lanes" + transfer = lanes / "new-core-transfer-20261017" + provider_checks = [] + for provider in ("base", "extra"): + raw = (transfer / ("native-original-" + provider) / "FULL-WORD.json.gz").read_bytes() + original = blob(repo, "f2927a4b8afcf0701a6b945e14f30de1d94f5176", "research/coupled-carrier-cap740/words/" + provider + ".json.gz") + parent = blob(repo, "51eb9c4ee9e4722010d308aa3309e039d3940cc2", "research/rank7-coupled-586-588-carrier-fold/edits/FINAL-WORD-" + provider + ".json.gz") + need(gzip.decompress(raw) == gzip.decompress(original) == gzip.decompress(parent), "Exact two-PR provider payload") + provider_checks.append({"provider": provider, "payload_sha256": sha256(gzip.decompress(raw)).hexdigest()}) + rows = read(transfer / "INTERFACE.json")["R"] + r = [[F(row.get(str(p), 0)) for p in range(112)] for row in rows] + selected = read(transfer / "IRREGULAR-38-RESPONSE-UNIT.json")["selected_S"] + need(len(selected) == len(set(selected)) == 38, "Actual selected witness") + gram = [[sum(r[i][p] * r[j][p] for p in selected) for j in range(8)] for i in range(8)] + v = [[int((i, j) in ((0, 2), (0, 3), (1, 4), (1, 5))) for j in range(8)] for i in range(8)] + need(gram == [[20 * (i == j) - 8 * (v[i][j] + v[j][i]) - 2 * sum(v[i][k] * v[j][k] for k in range(8)) + for j in range(8)] for i in range(8)], "Displayed actual Gram formula") + det_t = determinant([[gram[i][j] / 4 - 13 * (i == j) for j in range(8)] for i in range(8)]) + det_w = determinant([[(i == j) - gram[i][j] / 4 for j in range(8)] for i in range(8)]) + need((det_t, det_w) == (2**24, 2**12), "Two exact unit determinants") + is_power_two = lambda k: k != 0 and abs(k) & (abs(k) - 1) == 0 + first_units = [k for k in range(1, 15) if is_power_two(k - 13)] + both_units = [k for k in first_units if is_power_two(1 - k)] + need(first_units == [5, 9, 11, 12, 14] and both_units == [5, 9], "Complete-minor class only") + + serial = read(transfer / "SERIAL-BALANCED-PROGRAMS.json.gz") + irregular = read(transfer / "IRREGULAR-38-PROGRAMS.json.gz") + reduced = read(transfer / "bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz") + invoices = {} + for family, data in list(serial["families"].items()) + [("irregular", irregular)] + list(reduced["families"].items()): + for provider, item in data["providers"].items(): + for name, program in item["programs"].items(): + invoices[family + "/" + provider + "/" + name] = complete_cost(program) + need(len(invoices) == 36, "All 12 serial, six irregular, and 18 reduced words") + for provider in ("base", "extra"): + need(invoices["eight/" + provider + "/short_normalized_backward"] == (89200, 0), "Signed S8 complete cost") + need(invoices["twenty_four/" + provider + "/short_normalized_backward"] == (89592, 0), "S24 complete cost") + need(invoices["irregular/" + provider + "/diagonal_backward"] == (171662, 0), "S38 complete cost") + need(invoices["one_minor/" + provider + "/diagonal_backward"] == (171730, 16), "Raw S8 separate third scans") + unit_costs = {name: sum(price(event["kind"], event.get("coefficient", 0)) for event in events) + for name, events in read(transfer / "IRREGULAR-38-RESPONSE-UNIT.json")["programs"].items()} + need(unit_costs == {"A": 7452, "inverse_A": 7412}, "Both literal response-unit invoices") + need(171662 + unit_costs["inverse_A"] == 179074, "Complete composed response-normalized invoice") + + suffix_cases, wrong_order = 0, 0 + response_sources = { + "eight": read(lanes / "controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz"), + "twenty_four": read(lanes / "controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES-PROGRAM.json.gz")} + for family, data in reduced["families"].items(): + source = response_sources[family] + response_sign = 1 if family == "eight" else -1 + j = [[response_sign * F(row.get(str(p), 0)) for p in range(112)] for row in source["response"]] + s = data["selected_S"] + u = [p for p in range(112) if p not in s] + li = inverse([[j[p][q] for q in s] for p in s]) + for provider, item in data["providers"].items(): + words = item["local_words"] + for fixture in range(3): + x = [(F(p - 53), F(p % 7 - 3)) if fixture != 0 else (F(0), F(0)) for p in range(112)] + y = [(F(17 - p), F(p % 11 - 5)) if fixture != 1 else (F(0), F(0)) for p in range(112)] + z = [qmap(x[p], p, 1) if p in s else x[p] for p in range(112)] + query = [z[p] if p in s else y[p] for p in range(112)] + jq = mv(j, query) + raw = [add(qmap(y[p], p, -1) if p in s else x[p], jq[p], -1) for p in range(112)] + state = raw + [z[p] if p in s else y[p] for p in range(112)] + state += [(F(p + 3), F(-p - 1)) for p in range(408)] + [(F(0), F(0))] * 8 + long_result = suffix(words["long_normalizer_X"], state) + short_result = suffix(words["short_normalizer_X"], state) + need(long_result == short_result, "Full literal suffix equality on independent two-component data") + selected_result = mv(li, [tuple(-v for v in raw[p]) for p in s]) + expected = list(state) + for p, value in zip(s, selected_result): + expected[p] = value + for p in u: + expected[p] = add(raw[p], mv([[j[p][q] for q in s]], selected_result)[0]) + need(short_result == expected, "Direct selected inverse and changed lower query") + if family == "eight": + bad = suffix(words["lower_X"] + words["selected_inverse_X"], state) + need(bad != short_result, "Old selected query is rejected") + wrong_order += 1 + suffix_cases += 1 + report = {"status": "PASS_INDEPENDENT_SELECTED_UNITS_PUBLICATION_AUDIT", + "source_manifest_sha256": sha256((package / "SOURCE-MANIFEST.json").read_bytes()).hexdigest(), + "workspace_source_files_compared": workspace_sources, "git_source_files_compared": git_sources, + "source_Git_objects_unavailable": unavailable_git_sources, + "provider_payloads_match_both_pinned_PRs": provider_checks, + "S38_gram_formula_checked": True, "det_T": str(det_t), "det_W": str(det_w), + "complete_minor_H_unit_k": first_units, "complete_minor_both_unit_k": both_units, + "complete_word_invoices": invoices, "independent_two_component_suffix_cases": suffix_cases, + "response_unit_invoices": unit_costs, + "wrong_suffix_order_controls": wrong_order, + "limits": "Independent bounded source, geometry, price, and suffix checks. Full native phases and all arbitrary columns are checked by the separate cold package replay. No minimum or global supplier claim."} + args.out.write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"]) + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--package", type=Path, required=True) + parser.add_argument("--repo", type=Path, required=True) + parser.add_argument("--out", type=Path, required=True) + main(parser.parse_args()) diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/ANNEX-LINKS.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/ANNEX-LINKS.json new file mode 100644 index 0000000000..b7d6d5be8b --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/ANNEX-LINKS.json @@ -0,0 +1,86 @@ +{ + "checked_links": [ + [ + "README.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md" + ], + [ + "README.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md" + ], + [ + "README.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md" + ], + [ + "README.md", + "VALIDATION.md" + ], + [ + "README.md", + "SOURCE-MANIFEST.json" + ], + [ + "README.md", + "ANNEX-MANIFEST.json" + ], + [ + "README.md", + "PORTABLE-ADAPTATION.json" + ], + [ + "README.md", + "PORTABLE-ADAPTATION.patch" + ], + [ + "README.md", + "provenance/SOURCE-EXTRACTION.json" + ], + [ + "README.md", + "provenance/PRIOR-PINNED-SOURCE-CHECK.json" + ], + [ + "README.md", + "NOTICE.md" + ], + [ + "NOTICE.md", + "notices/research/gauge44-slots-t16/NOTICE.md" + ], + [ + "NOTICE.md", + "notices/research/gauge44-slots-t16/construction/NOTICE.md" + ], + [ + "NOTICE.md", + "notices/research/gauge44-slots-t16/t16/NOTICE.md" + ], + [ + "NOTICE.md", + "notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md" + ], + [ + "NOTICE.md", + "notices/LICENSE" + ], + [ + "VALIDATION.md", + "validation/normal/REPLAY.json" + ], + [ + "VALIDATION.md", + "validation/optimized/REPLAY.json" + ], + [ + "VALIDATION.md", + "validation/MODE-COMPARISON.json" + ], + [ + "VALIDATION.md", + "validation/MAIN-PRESERVATION.json" + ] + ], + "github_objects_and_rendering_not_checked": true, + "status": "PASS_NEW_ANNEX_LOCAL_LINKS" +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/BODY-CLAIM-CHECK.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/BODY-CLAIM-CHECK.json new file mode 100644 index 0000000000..b8669f8ee0 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/BODY-CLAIM-CHECK.json @@ -0,0 +1,27 @@ +{ + "accepted_review_sha256": "89e72677b9a6c39ab9af7920a6378da2be572bab7c08660cd4c17b7dc6017c31", + "body_sha256": "cb76a561d8e5cc1022f4afc34186e433fe9ba392c8bb4089ea324a98333c76c7", + "claim_checks": [ + "Fixed A,T and retained selected source baselines remain explicit", + "At least27 ports and exclusions28 through31 retain size27 as open with determinant exponent42", + "No arbitrary-selected minimum, S38 optimality, lower-twelve adoption, native cost or kappa improvement is claimed", + "Historical source commit and exact archive remain separate from current supplier", + "Fresh normal/O evidence and local command agree with validation", + "Fresh independent publication review link uses the required nested public path" + ], + "historical_links": [ + "https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/community-frontier1042-audit/selected-replay.tar.gz" + ], + "not_performed": [ + "Remote object or URL verification", + "GitHub rendering or published-body readback" + ], + "publication_obligations": [ + "Replace COMMIT with the exact reviewed commit", + "Verify remote file objects and URL targets", + "Inspect GitHub rendering and read back the final published body" + ], + "required_claim_edits": [], + "status": "PASS_FIXED_BASELINE_SPECTRAL_ANNEX_BODY_CLAIMS", + "template_link_targets_exist_locally": 8 +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/COLD-REPLAY.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/COLD-REPLAY.json new file mode 100644 index 0000000000..31ea59b048 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/COLD-REPLAY.json @@ -0,0 +1,65 @@ +{ + "annex_manifest_exhaustive_except_self": true, + "annex_manifest_sha256": "554b1ccd6bf8736d33807ec75478242181e80093dadf749333fb71911c192d9f", + "frozen_inputs_unchanged": true, + "negative_hash_control": { + "expected_error": "Source hash: frozen/work/centre-encoding-campaign-20261014/lanes/circuit-interface/INTERFACE.json", + "rejected_before_output_creation": true, + "returncode": 1, + "same_size_changed_source_rejected": true + }, + "optimized_reviewer": true, + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "producer_assertions_enabled": true, + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "replay_sha256": "4d6c64b3bdd95d9d7369eb63bfd6cdce0b94edec19954f3dfc878eadede66fdc", + "reviewer_command": [ + "python3", + "-I", + "-O", + "-B", + "/private/tmp/fixed-baseline-spectral-review-20261022/annex/replay.py", + "--optimized", + "--out", + "/private/tmp/fixed-baseline-spectral-review-20261022/output" + ], + "reviewer_cwd": "/private/tmp", + "schema": "fixed-baseline-spectral-replay-v1", + "scope": "Fixed A,T and retained selected baselines. Size27 remains open. No global minimum or kappa change.", + "seconds": 0.34968412498710677, + "source_access": "Two exact compressed archive members and their decoded payloads; no Git, network, or full archive access.", + "source_files": 21, + "source_manifest_sha256": "9a891d1ea4656b9dc60321646af4e6ef3cdb4213fffef55ebeb63624545a1904", + "stages": [ + { + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-B", + "/private/tmp/fixed-baseline-spectral-review-20261022/output/spectral-gap-lrxpvum9/workspace/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py" + ], + "name": "producer", + "python_optimized": false, + "receipt_bytes_equal": true, + "receipt_sha256": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "seconds": 0.08922266698209569, + "status": "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS" + }, + { + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-B", + "-O", + "/private/tmp/fixed-baseline-spectral-review-20261022/output/spectral-gap-lrxpvum9/workspace/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py" + ], + "name": "independent", + "python_optimized": true, + "receipt_bytes_equal": true, + "receipt_sha256": "9639db0bdbc82255ef85273ac15a0aff68d5c659190557bf331d260eb714964f", + "seconds": 0.18390329199610278, + "status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND" + } + ], + "status": "PASS_FIXED_BASELINE_SPECTRAL_GAP" +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/INDEPENDENT-AUDIT.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/INDEPENDENT-AUDIT.json new file mode 100644 index 0000000000..862f6ab1fb --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/INDEPENDENT-AUDIT.json @@ -0,0 +1,180 @@ +{ + "critical_size31_margin_lower": "17791724255219979122773571524434646183025056893550594249511971272955765269193376243741772012159249430752301537069090685964449394250015689841843229606081198694215610064568172756046477499735216528040583025808098662113473321841393546591190089417160677628155208745438871174912118395204909459111644067951825650174052089735741208641707427366301056700418809598843863955944677688473666222754100839147501244645884954420341301389384967973076383015452489469306586857599754672337171741351682997551024387906614125709040806997007747647068409691613849838468643155022361227892783562091403953710090090952337738955679688896296823107570341095467372292101928066769362787018886429920722923337192024576205394130813147314148573779889734986399826489279688784113219583284503770131724473142074675437630679261956063932701282874382923222232494268744959828989298432989798780687272551024095061334231569948590641774643755123387180382756382431160047871118373530783552752937851035931856864046347029786407508806274019784062831976704699887177422139190111671902992843938409757140386810270718400861691678446265851873844642330065962610479915500820217205721271236503911925945593331559098075052022137243016202204314269513552642677560494712196882124540250210245925553495908362787434445619297129654135341333630280308368660489361/21960621851735233457792221152714334221964406920402109870704757283132303272949236892130969944180390716673164710830036629808384474224391348968561863338705537562270043847944406989474981991967153589223410074937359921866173377380668022900233455931052128714350107955602136418089814643559791035174393668534336967720112835292054349551390928580562669494286007688441392225903190863758597674260651435282720671142393497438671225256157240925137247086925775234440460841699716159581050178060878424185696983745728448003078074560035783982743958454400160194945714667609159333501557467252648946120781836945017812255703205278503105651726145993171791326256089064083338324177432259041966782575175733797706512787881208683881971093106692252673221884660734492400178921797871325825274308678716184999066869061357962019557759581206727997513074428808925508440662381989818117778289336942036130738707833693323509458112199195908598602301503221082441072787192213012494261808519859513060419197201152420239595759951210428650136079885865121861948739591127586392420408547838286237081691106047593192136294171145732404801931926215095588008565555397061960821441020693231705500354391835423308840835079890582603365983681806685476734321036689480382803896231185725639720735802186206852314048504878516008011377887024676095718109546500", + "critical_size31_margin_strictly_above": "1/1250", + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "method": "Direct 96-term rational logarithm intervals and actual matrix products; no source checker imports", + "negative_controls": [ + "The permitted h=2,z=2 residual case defeats a constant-seven degree bound", + "The weaker 98-edge bound fails the size-31 logarithmic certificate", + "Downward square-root rounding is invalid at the critical size", + "Size27 still permits determinant exponent42" + ], + "not_claimed": [ + "Existence at size27", + "A global selected-set minimum", + "Native cost or kappa improvement" + ], + "pair_products": { + "-2": 952, + "0": 3304, + "2": 1960 + }, + "profiles": [ + { + "possible": [], + "size": 24, + "strict_powers": [ + 42, + 43 + ] + }, + { + "possible": [], + "size": 25, + "strict_powers": [ + 42, + 43 + ] + }, + { + "possible": [], + "size": 26, + "strict_powers": [ + 42, + 43 + ] + }, + { + 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"nonorthogonal_edge_bound": 224, + "square_trace_bound": 2160, + "largest_eigenvalue_bound": "21787/512", + "crude_determinant_lower": "839996989200369/65536", + "determinant_upper": "318644812890625/256", + "strict_lower_power": 36, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 37, + 38, + 39, + 40 + ], + "exact_exclusion_margins": {} + } + ], + "excluded_selected_sizes": [ + 24, + 25, + 26, + 28, + 29, + 30, + 31 + ], + "unresolved_selected_sizes": [ + 27, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39 + ], + "not_claimed": [ + "An admissible selected set of an unresolved size", + "A supplier or kappa improvement" + ] +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.json new file mode 100644 index 0000000000..e20987aaff --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.json @@ -0,0 +1,76 @@ +{ + "accepted_claims": [ + "For the specified fixed A,T selected-baseline source interface, every admissible selected set has at least 27 ports", + "Selected sizes 28, 29, 30, 31 are excluded in the same class without a split-pair restriction", + "Size 27 remains open and requires determinant(-4D)=2^42", + "The fifteen-root graph bound has at most 93 nonorthogonal pairs", + "The actual spectral determinant exclusions follow from exact rational inequalities" + ], + "annex_manifest_sha256": "554b1ccd6bf8736d33807ec75478242181e80093dadf749333fb71911c192d9f", + "artifacts": { + "ANNEX-LINKS.json": "aef01bf0df17c68b136a3356be12aec62bda9a39ca4716a7d2c6c775db197ed5", + "COLD-REPLAY.json": "1ad6cbe65fbaae944654f6cb98ba4641f6b224f8437f66e338c4bd579796bc2c", + "INDEPENDENT-AUDIT.json": "9554837df9ef81c047ec7cb14c0881a14a9ec707c69ff45c05251aaa7a4ed5ed", + "INPUT-HASHES.json": "f678013e84dbcfff56c2c6610cfcb913760d2ada811540aa67e00e567428d99c", + "REPLAY-INDEPENDENT.json": "9639db0bdbc82255ef85273ac15a0aff68d5c659190557bf331d260eb714964f", + "REPLAY-PRODUCER.json": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "REVIEW.md": "bbac51fd9d1432424389b4c0610501b47218cfaea51fbdb8e41265744c1dd716", + "SOURCE-ADAPTER-CLOSURE.json": "d1268ab2d0f6bd82f22e30744471818f84185d1874b5c41a2d703afa009f9f32", + "independent_audit.py": "f534e6d56c93ffcf85ac89c68636a7123c8672e54e37c39f813e73c1c80d1df7" + }, + "checks_not_run": [ + "Million-vector split-pair or arbitrary selected-set enumeration", + "Fresh native word, phase, ownership schedule or routed caller", + "Recursive invoice or current selected-supplier replay", + "Complete kappa calculation", + "New validation of the normalization note scalar invoice", + "Final GitHub objects, links, rendering or published-body readback" + ], + "checks_run": [ + "All 21 source records, original copies, exact full cached archive and both members", + "Portable diff regenerated exactly; seven other function ASTs and reconstruction suffix unchanged", + "Fresh relocated optimized wrapper run with producer assertions enabled", + "Both producer and independent complete receipts byte-equal to historical evidence", + "All 112 source columns reconstructed backward through 12,550 events by retained independent checker", + "All 6,216 root pairs and all 16 size intervals; separate 96-term interval audit", + "Critical size 31 gap greater than 1/1250, plus three mathematical assumption controls and size 27 nonexclusion", + "Same-size source corruption rejected before output creation", + "All 257 prior main files including manifest unchanged and 20 new local links checked" + ], + "historical_archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "historical_source_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "independent_human_review": false, + "kappa_improvement": false, + "local_review_link_targets_checked": [ + "../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/README.md", + "../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md", + "../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md", + "SOURCE-ADAPTER-CLOSURE.json", + "../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/NOTICE.md", + "COLD-REPLAY.json", + "REPLAY-PRODUCER.json", + "REPLAY-INDEPENDENT.json", + "INDEPENDENT-AUDIT.json" + ], + "not_claimed": [ + "Existence at size 27", + "Global minimum for arbitrary selected sets or S38 optimality", + "Adoption of the separate lower-twelve theorem or later separators", + "Native cost or complete kappa improvement" + ], + "original_main_files_including_manifest_unchanged": 257, + "prior_review_unchanged": true, + "public_review_layout": "research/publication-reviews/raw-selected-centre-units/spectral-review", + "replay_sha256": "4d6c64b3bdd95d9d7369eb63bfd6cdce0b94edec19954f3dfc878eadede66fdc", + "review_type": "Independent OpenAI Codex agent proof review, cold replay, and exact rational audit", + "schema": 1, + "scope_requirements": [ + "Historical 8-by-112 R and K=R^T/4", + "S contains the two specified disjoint A,T minors", + "The source unit retains the specified selected baseline rows and gives ordinary identity output on U", + "Dyadic unit condition on D; full allowed input contract" + ], + "source_manifest_sha256": "9a891d1ea4656b9dc60321646af4e6ef3cdb4213fffef55ebeb63624545a1904", + "status": "PASS_SCOPED_FIXED_BASELINE_SPECTRAL_ANNEX_REVIEW", + "unresolved_material_findings": [] +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.md b/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.md new file mode 100644 index 0000000000..ba4902c4bf --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/REVIEW.md @@ -0,0 +1,105 @@ +# Independent review of the fixed-baseline spectral annex + +The annex passes for the fixed A,T source interface that it states. +Every admissible selected set in this class has at least 27 ports. +Sizes 28, 29, 30, and 31 are also excluded. Size 27 is open and needs +det(-4D)=2^42. This is a necessary condition, not an existence result. +The review does not prove a global selected-set minimum or a native +cost bound. The complete kappa calculation does not change. + +This is a fresh review by a separate OpenAI Codex agent. It does not +claim independent human review or a formal-kernel proof. The earlier +raw-selected package review remains unchanged. + +The [annex](../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/README.md) +states the class. S contains the two fixed disjoint eight-port minors. +The source unit must preserve the specified selected source rows and +give the ordinary identity output on U. The +[necessity lemma](../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md) +then requires a unit D=I-R_U K_U. The ordered block argument is valid: +C=F E^-1 has identity selected rows, its U diagonal block is a unit, +and J_UU C_UU=I. The ordered unit identities give the condition on D. +The lemma does not apply when the selected source baselines may change. + +For this fixed A,T and actual R, D=-11I+M/4 and B=-4D=44I-M. +The determinant lemma supplies the uncancelled factor of 11 for fewer +than eight additional columns. This excludes all selected sizes below +24 in the stated class. The +[spectral proof](../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md) +excludes sizes 24 through 26 and 28 through 31 by strict determinant +intervals between adjacent powers of two. + +The graph proof covers every clique case. A clique of at least four +roots can be changed by signs to Gram matrix 2I+2J. Its rank bounds +the clique size by eight. The weighted graph inequality is valid. +For fifteen roots, the clique cases up to six, seven, and eight give +at most 93 edges. The seven-clique residual cases are complete. In +particular, h=2 and z=2 require the t+2 term in max(7,t+2). Averaging +over fifteen-root subsets gives the stated larger-set edge bound. + +The three eigenvalue caps follow from row sums, the weighted graph +bound, and the second moment. Each cap is below 44 in the checked +range. The extreme-spectrum determinant bound follows from concavity. +The second-moment logarithm bound uses a positive series with an +increasing quotient. All interval endpoints have the correct direction. +The exact rational tail bounds justify the strict comparisons. + +The [source and adapter check](SOURCE-ADAPTER-CLOSURE.json) verifies all +21 source records. Every copied original path has the same bytes. A +fresh read of the full local historical archive reproduces its pinned +hash and both compressed members. The member payload hashes also match. +The earlier exact Git readback is retained as provenance. This review +did not repeat a Git or network source fetch. + +The portable adapter changes only file input and removes unused input +imports. Its patch was regenerated exactly. All seven other function +ASTs and the full reconstruction and mathematics suffix are unchanged. +The original 256 main files and their manifest remain unchanged. The +new annex manifest covers all 41 other annex files. All 20 links in +the new README, notice, and validation note resolve locally. This +review uses the public research/publication-reviews layout for its +relative package links. The +[notice](../../../raw-selected-centre-units/annex/fixed-baseline-spectral-gap/NOTICE.md) +retains the source lanes, contributor evidence, license, and AI credit. + +The [cold replay](COLD-REPLAY.json) ran from a copy outside the workspace: + +```sh +python3 -I -O -B /private/tmp/fixed-baseline-spectral-review-20261022/annex/replay.py --optimized --out /private/tmp/fixed-baseline-spectral-review-20261022/output +``` + +It printed `PASS_FIXED_BASELINE_SPECTRAL_GAP`. The wrapper ran the +producer with assertions enabled and the separate checker with -O. +Both complete receipts match the historical bytes exactly: +[producer](REPLAY-PRODUCER.json) and [independent](REPLAY-INDEPENDENT.json). +The portable run reads only the two pinned members, not Git or the +full archive. It propagates eight forms backward through the 12,550 +event prefix and checks all 112 columns, all 6,216 root pairs, the +residual cases, 2,248 degree inequalities, and all 16 size intervals. +A same-size change to the interface file is rejected by its hash +before the wrapper creates an output directory. + +The separate [arithmetic audit](INDEPENDENT-AUDIT.json) imports no source +checker. It checks all root pairs and repeats all 16 exponent profiles +with 96-term rational logarithm intervals. The exact size-31 margin is +greater than 1/1250. Three controls check critical proof assumptions: +the constant-seven degree bound fails a permitted residual case; the +weaker 98-edge bound cannot certify the size-31 logarithmic gap; and +downward square-root rounding is invalid there. The audit also confirms +that size 27 still permits exponent 42. + +The main S38 witness is in a different class. Its selected set omits +four ports of this fixed A and all eight ports of this fixed T. Its raw +unit tests also differ from this selected-baseline contract. This annex +does not prove that S38 is optimal. It does not adopt the separate +lower-twelve producer claim or later separator claims. The fixed-pair +40-port result has additional restrictions, and its large enumeration +was not repeated. + +No native word, phase or ownership schedule, routed caller, recursive +invoice, current selected supplier, or complete kappa calculation ran +for this annex. The factor-11 and necessity arguments are proof steps; +the finite replay does not enumerate all selected sets. The source +normalization note is retained for its ordered identities; its scalar +invoice is not newly validated. Final GitHub objects, links, rendering, +and published-body readback remain with the coordinating publisher. diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/SOURCE-ADAPTER-CLOSURE.json b/research/publication-reviews/raw-selected-centre-units/spectral-review/SOURCE-ADAPTER-CLOSURE.json new file mode 100644 index 0000000000..73f6052ad7 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/SOURCE-ADAPTER-CLOSURE.json @@ -0,0 +1,62 @@ +{ + "archive_members_byte_equal": [ + "slots/local/CANONICAL-WORD.json.gz", + "slots/local/LOCAL-PROGRAMS.json.gz" + ], + "byte_exact_original_paths": [ + "frozen/work/centre-encoding-campaign-20261014/lanes/circuit-interface/INTERFACE.json", + "frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NORMALIZATION.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.json", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.json", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py", + "frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.json", + "frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py", + "notices/LICENSE", + "notices/research/gauge44-slots-t16/NOTICE.md", + "notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md", + "notices/research/gauge44-slots-t16/construction/NOTICE.md", + "notices/research/gauge44-slots-t16/construction/UPSTREAM-NOTICE.md", + "notices/research/gauge44-slots-t16/t16/NOTICE.md", + "provenance/PRIOR-PINNED-SOURCE-CHECK.json" + ], + "exact_adapter_diff": true, + "fresh_local_archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "git_network_access_for_this_check": false, + "git_object_binding": "Prior exact Git readback retained in provenance/PRIOR-PINNED-SOURCE-CHECK.json; this check independently reads the full local archive and both members", + "original_main_files_including_manifest_unchanged": 257, + "original_main_manifest_entries": 256, + "original_main_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "prior_review_unchanged_sha256": "4680449709c9fb19e6e656cba15b486461065ff8d16e06636ff0556949e0dc47", + "s38_missing_fixed_A_ports": [ + 0, + 7, + 46, + 57 + ], + "s38_missing_fixed_T_ports": [ + 21, + 37, + 47, + 76, + 81, + 87, + 92, + 110 + ], + "source_records": 21, + "status": "PASS_SPECTRAL_ANNEX_SOURCE_AND_ADAPTER_CLOSURE", + "unchanged_other_function_asts": [ + "need", + "pinned", + "graph_cases", + "log_bounds", + "rational_floor", + "spectral_cases", + "main" + ], + "unchanged_source_reconstruction_suffix": true +} diff --git a/research/publication-reviews/raw-selected-centre-units/spectral-review/independent_audit.py b/research/publication-reviews/raw-selected-centre-units/spectral-review/independent_audit.py new file mode 100644 index 0000000000..5fa4f58eb4 --- /dev/null +++ b/research/publication-reviews/raw-selected-centre-units/spectral-review/independent_audit.py @@ -0,0 +1,127 @@ +#!/usr/bin/env python3 +"""Check the spectral margins and controls without a source checker import.""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +import json +from math import isqrt +from pathlib import Path + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def log_interval(value): + x = Q(value) + need(x >= 1, "The review only uses logarithms at least one") + exponent = 0 + while x > 2: + x /= 2 + exponent += 1 + z = (x-1)/(x+1) + low = sum((2*z**n/n for n in range(1, 192, 2)), Q(0)) + high = low + 2*z**193/(193*(1-z*z)) + if exponent: + a, b = log_interval(2) + low, high = low+exponent*a, high+exponent*b + return low, high + + +def bounds(v, edges): + trace, moment = 4*v, 16*v+8*edges + discriminant = 7*(8*moment-trace*trace) + root_floor = isqrt(discriminant*256**2) + root_up = root_floor + int(root_floor**2 < discriminant*256**2) + cap = min(Q(2*v+2), Q(16+7*v, 4), Q(trace, 8)+Q(root_up, 2048)) + need(0 < cap < 44, "Positive-definite range") + a = int(trace//cap) + b = trace-a*cap + crude = (44-cap)**a*(44-b)*44**(7-a) + upper = (Q(44)-Q(v, 2))**8 + lo44, hi44 = log_interval(44) + lo_ratio, hi_ratio = log_interval(44/(44-cap)) + low = 8*lo44-Q(trace, 44)-Q(moment)/cap**2*(hi_ratio-cap/44) + high = 8*hi44-Q(trace, 44)-Q(moment)/cap**2*(lo_ratio-cap/44) + return cap, crude, upper, low, high, discriminant, root_floor + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--annex", required=True, type=Path) + parser.add_argument("--out", required=True, type=Path) + args = parser.parse_args() + need(not args.out.exists(), "Output file must be new") + lanes = args.annex / "frozen/work/centre-encoding-campaign-20261014/lanes" + raw = (lanes/"circuit-interface/INTERFACE.json").read_bytes() + need(sha256(raw).hexdigest() == "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", "Interface pin") + r = [[int(row.get(str(j), 0)) for j in range(112)] for row in json.loads(raw)["R"]] + columns = list(zip(*r)) + need(all(sum(x*x for x in col) == 4 for col in columns), "Every actual column norm") + dots = Counter(sum(x*y for x, y in zip(a, b)) + for i, a in enumerate(columns) for b in columns[:i]) + need(dots == {0: 3304, 2: 1960, -2: 952}, "All actual root pairs") + receipt = json.loads((lanes/"schur-selection/SPECTRAL-BOUND.json").read_bytes()) + lo2, hi2 = log_interval(2) + profiles = [] + critical_margin = None + for row in receipt["rows"]: + v = row["selected_size"]-16 + edges = min(v*(v-1)//2, 7*v*v//16) + if v >= 15: + edges = min(edges, 93*v*(v-1)//210) + cap, crude, upper, lower, _, discriminant, root_floor = bounds(v, edges) + lower_power = max(e for e in range(60) if lower > e*hi2 or crude > 2**e) + upper_power = min(e for e in range(60) if upper < 2**e) + possible = list(range(lower_power+1, upper_power)) + need(str(cap) == row["largest_eigenvalue_bound"], "Rational eigenvalue cap") + need(possible == row["remaining_power_exponents"], "Exponent profile") + need([lower_power, upper_power] == [row["strict_lower_power"], row["strict_upper_power"]], "Strict bounds") + profiles.append({"size": v+16, "strict_powers": [lower_power, upper_power], "possible": possible}) + if v == 15: + critical_margin = lower-41*hi2 + need(critical_margin > Q(1, 1250), "Exact size-31 margin") + need(root_floor**2 < discriminant*256**2, "Rounding the critical square root down is invalid") + need(len(profiles) == 16, "All saved size profiles") + need([row["size"] for row in profiles if not row["possible"]] == [24, 25, 26, 28, 29, 30, 31], "Exact exclusion set") + need(profiles[3]["size"] == 27 and profiles[3]["possible"] == [42], "Size 27 is not excluded") + + # The weaker clique bound cannot certify the critical logarithmic gap. + weak_edges = 7*15*15//16 + _, _, _, _, weak_high, _, _ = bounds(15, weak_edges) + weak_margin_upper = weak_high-41*lo2 + need(weak_edges == 98 and weak_margin_upper < 0, "The 93-edge lemma is needed for this certificate") + + # The residual case h=2,z=2 permits seven possible omitted-index edges. + epsilon = [1, 1, 0, 0, 0, 0, 0] + possible_edges = sum(bool({1-2*x-1, 1-2*x+1} & {-2, 2}) for x in epsilon) + t, h = 6, 2 + need(possible_edges == 7 and h+min(t, possible_edges) > 7, + "A constant-seven degree bound is invalid for the permitted residual case") + need(h+min(t, possible_edges) <= max(7, t+2), "The stated degree bound covers the case") + result = { + "status": "PASS_INDEPENDENT_FIXED_BASELINE_SPECTRAL_AUDIT", + "method": "Direct 96-term rational logarithm intervals and actual matrix products; no source checker imports", + "interface_sha256": sha256(raw).hexdigest(), + "root_pairs": sum(dots.values()), + "pair_products": dict(sorted(dots.items())), + "profiles": profiles, + "critical_size31_margin_strictly_above": "1/1250", + "critical_size31_margin_lower": str(critical_margin), + "weak_98_edge_margin_upper": str(weak_margin_upper), + "negative_controls": ["The permitted h=2,z=2 residual case defeats a constant-seven degree bound", + "The weaker 98-edge bound fails the size-31 logarithmic certificate", + "Downward square-root rounding is invalid at the critical size", + "Size27 still permits determinant exponent42"], + "scope": "Fixed A,T and retained selected source baselines; necessary determinant conditions only", + "not_claimed": ["Existence at size27", "A global selected-set minimum", "Native cost or kappa improvement"], + } + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n", encoding="utf-8") + print(result["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/LICENSE b/research/raw-selected-centre-units/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/raw-selected-centre-units/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. Definitions. + + "License" shall mean the terms and conditions for use, reproduction, + and distribution as defined by Sections 1 through 9 of this document. + + "Licensor" shall mean the copyright owner or entity authorized by + the copyright owner that is granting the License. + + "Legal Entity" shall mean the union of the acting entity and all + other entities that control, are controlled by, or are under common + control with that entity. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/raw-selected-centre-units/NOTICE.md b/research/raw-selected-centre-units/NOTICE.md new file mode 100644 index 0000000000..296e9c9499 --- /dev/null +++ b/research/raw-selected-centre-units/NOTICE.md @@ -0,0 +1,77 @@ +# Source credit and license + +The new package is under the repository's Apache-2.0 license. The exact +[license](LICENSE), source-specific notices, credits, and source files +remain in the package. Source hashes and commit-pinned URLs are in +[SOURCE-MANIFEST.json](SOURCE-MANIFEST.json). + +The historical physical words are the coupled carrier-fold words from +[PR #3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133), +commit `51eb9c4ee9e4722010d308aa3309e039d3940cc2`. Its +[source credit](https://github.com/CrocSwap/integer-mult-bounds/blob/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md) +identifies @dcharb78 as the contributor of the coupled carrier folds +and helper endpoint changes. The same source credits Marius-Paul +Dumitrean (@mdumitrean) for the base words in +[PR #2979](https://github.com/CrocSwap/integer-mult-bounds/pull/2979), +Jeremy Kothe (@jeremykothe2) for the declared edit in +[PR #3015](https://github.com/CrocSwap/integer-mult-bounds/pull/3015), +and @dcharb78 for the restore changes in +[PR #3042](https://github.com/CrocSwap/integer-mult-bounds/pull/3042). + +The exact provider word copies come from +[PR #3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), +commit `f2927a4b8afcf0701a6b945e14f30de1d94f5176`. +Its [source credit](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/README.md) +identifies Jeremy Diviney (@jeremydiviney) for the exchange, integration, and verification +work. This package consumes the words, not that package's complete +allocation or exponent claim. The full inherited contributor list is +retained in both source READMEs and their NOTICE and CREDITS files. + +The historical phase-generation sources come from +[PR #2588](https://github.com/CrocSwap/integer-mult-bounds/pull/2588), +commit `8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb`. +The [phase source](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_phases.py) +credits @icekylinx for the earlier phase code and Cinna Davis +(@1337isnot1337) for the warp mechanism in +[PR #2226](https://github.com/CrocSwap/integer-mult-bounds/pull/2226). +The [wrapper source](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py) +credits DreamingOfClouds and the construction by Chafik Boukhalfa +(@chafreaky) in [PR #458](https://github.com/CrocSwap/integer-mult-bounds/pull/458). +Their original AI-assistance notices remain byte-exact. The package's +fresh native check uses a separate exact interpreter; it does not import +these phase-generation modules. + +The exact PR #2588 [source notice](provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/NOTICE), +[source README](provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/README.md), +and [license](provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/LICENSE) +are retained. The source notice credits Rohan Arun for the native +lowering and owner construction. It points to the +[PR #2226 notice](provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/NOTICE-PR2226.md), +which identifies `bw_gauss.py` as a port of the PR #2226 operator code. +Its [vendor notice](provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/PR2226-NOTICE.md) +is also retained without change. The +[primary source check](validation/PR2588-SOURCE-VERIFICATION.json) verifies +the exact commit bytes and records the applicable notice links. + +The coordinated centre-encoding campaign supplied the general raw +selected-subset formulas, the 38-port witness, the transferred local +words, and the structured normalization. Within that campaign, the +budget-geometry and dyadic-subset-search calculations found the +irregular witness; the coordinating calculation checked its full +inverse identities; new-core-transfer supplied the physical words; +bridge-review, independent-review, and new-native-recipes supplied +separate checks. The signed S8 response came from +controller-followthrough, using the bridge and budget geometry results. +The frozen proof files retain these roles. + +Ali Romman (@aliromman) directed the campaign and this publication package. +Substantial research, code, proof development, documentation, and review +used OpenAI Codex. Separate agent checks are not human review or a +formal-kernel proof. This is not an official OpenAI release or an +OpenAI endorsement. + +The underlying manuscript and stream-model excerpts retain their +original terms. 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No complete kappa change.", + "selected_pr_at_base": 4470, + "source_manifest_sha256": "ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f" +} diff --git a/research/raw-selected-centre-units/PROOF.md b/research/raw-selected-centre-units/PROOF.md new file mode 100644 index 0000000000..26d18a2e17 --- /dev/null +++ b/research/raw-selected-centre-units/PROOF.md @@ -0,0 +1,240 @@ +# Selected-centre unit criteria and the short normalization + +This note collects the accepted algebra from the frozen source proofs. +It does not add a new search result. The native counts and source +bindings have the separate reviews in [REVIEW-INDEX.md](REVIEW-INDEX.md). + +## Coefficient ring and endpoint order + +Use the Gaussian dyadic ring `Z[i,1/2]`. The matrices below have real +dyadic entries. A real dyadic determinant is a unit in this ring exactly +when it is a nonzero signed power of two. Thus rational invertibility +alone is insufficient for a dyadic implementation. + +Let R have eight rows and 112 columns. The actual source has +`R R^T=56I`, `K=R^T/4`, and `R K=14I`. A subscript S or U on R +restricts its columns; on K it restricts its rows. S and U partition +the ports. Let `J=I-KR`. + +The physical input is `X_p=Q_p x_p`, `Y_p=y_p`. The physical output +is `X_p=F x'_p`, `Y_p=F Q_p^-1 y'_p`. The common F commutes with each +actual signed endpoint line. No rule moves Q through R, K, or a matrix +that mixes port coordinates. The proof and replay keep those products +in their stated order. + +## Ordinary-block unit criterion + +Define + +```text +D = R_S K_S, +T = D - 13I = I - R_U K_U, +H = I_U - K_U R_U. +``` + +The determinant identity for rectangular products gives +`det(H)=det(T)`. Equivalently, direct multiplication gives + +```text +H^-1 = I_U + K_U T^-1 R_U, +T^-1 = I_8 + R_U H^-1 K_U. +``` + +Thus H and T are units at the same time. The ordered inverse identities +also hold over an operator ring that contains the scalar matrices. + +Write `x=(a,u)` and `y=(b,v)`. Exchange the physical X and Y fields at +the selected ports and run the clean backward core. Put `q=Q_S^-1`. +The exact logical result is + +```text +X_S = q b - (I_S-K_S R_S) Q_S a + K_S R_U v, +X_U = u + K_U R_S Q_S a - H v, +Y_S = Q_S a, +Y_U = v. +``` + +The borrowed-Y block of X is upper triangular with diagonal blocks q +and `-H`. Its invertibility is therefore equivalent to that of T. This +does not require a determinant of the port-operator blocks. + +## Full original-X response criterion + +Suppose T is a unit. Apply H inverse to the completed ordinary X bank. +Then apply `X_S += K_S R_U X_U`, using the changed ordinary values. +Set `z=(Q_S a,u)` and `E=diag(-I_S,I_U)`. The complete X map is + +```text +X = A z + B0 y, +A = E + K T^-1 R, +B0 = diag(q,-I_U). +``` + +Y retains the values in the preceding display. Since +`R E K=14I-2D`, define `W=I-D` and note that +`T+R E K=W`. The determinant identity and the ordered inverse formula +give + +```text +det(A) = det(E) det(W) / det(T), +A^-1 = E - E K W^-1 R E. +``` + +Given invertible T, A is a unit exactly when W is a unit. The complete +two-bank word can still be a unit when A is singular. It can recover +information from Y that is absent from X alone. + +For k complete orthogonal eight-port minors, `D=kI` and `T=(k-13)I`. +For `1<=k<=14`, T is a dyadic unit at `k=5,9,11,12,14`. The second +factor is `W=(1-k)I`. Both factors are dyadic units at `k=5,9`. +Thus the first such union contains five minors, or 40 ports. This is +a statement about unions of these complete minors. + +## The actual 38-port witness + +The selected ports are + +```text +1,3,4,17,18,19,20,23,24,26,27,29,35,36,38,39,40,42,45, +60,63,66,69,74,75,77,78,84,86,88,97,99,104,105,107,108,109,111. +``` + +Let `G=R_S R_S^T`, let E_ij be an elementary eight-dimensional matrix, +and set + +```text +V = E_02 + E_03 + E_14 + E_15, +L0 = I + V/4. +``` + +The selected source columns give + +```text +G = 20I - 8(V+V^T) - 2VV^T, +52I-G = 32 L0 L0^T. +``` + +Since `V^2=0`, `L0^-1=I-V/4`, and `det(L0)=1`. Therefore +`T=-8 L0 L0^T` has a dyadic inverse and determinant `2^24`. + +To check the second factor, split the two nonzero rows of V from the +other six coordinates. Its upper-right block B has `B B^T=2I_2`. +In this order, + +```text +4I-G = [ -12 I2 8 B ] + [ 8 B^T -16 I6 ]. +``` + +Eliminate the lower-right block. The remaining block is +`-12I2+4BB^T=-4I2`. Both pivots are dyadic units. Hence +`det(4I-G)=2^28`, `det(W)=2^12`, and `det(A)=2^-12`. +The independent root checker also constructs both full 112-dimensional +inverse identities and checks both orders. It rejects a wrong centre +constant and the omission of selected signs. + +The native implementation first forms all eight current queries in +existing owned fields C0 through C7. It then applies the finite +eight-dimensional transform and scatters the result. Every query is +formed before the first data scatter. The complete review checks all +query lifetimes, frames, scalar operations, and arbitrary helper terms. +The reviewed complete word that appends A inverse costs 179,074 scalar +primitives and retains native mass 5,073. + +The witness proves existence at 38. It does not prove a minimum or a +lower bound on native children. The fixed-A,T split-pair class has +different restrictions and is not the class of this witness. + +## Short normalization for any selected principal unit + +This section permits a different symmetric core response. Write + +```text +J = [L B], + [D H] +``` + +where L is the selected principal block. The raw backward word is + +```text +X_S = q b - L Q_S a - B v, +X_U = u - D Q_S a - H v, +Y_S = Q_S a, +Y_U = v. +``` + +On `z=(Q_S a,u)`, the original-X coefficient and its inverse are + +```text +C = [-L 0], N = [-L^-1 0]. + [-D I] [-D L^-1 I] +``` + +Thus the following suffix implements N at the completed common frame: + +```text +X_S <- -L^-1 X_S +X_U <- X_U + D X_S +``` + +Its complete map is + +```text +X_S = Q_S a - L^-1 q b + L^-1 B v, +X_U = u - D L^-1 q b - (H-D L^-1 B)v, +Y_S = Q_S a, +Y_U = v. +``` + +The order of the two steps is required. The suffix needs L inverse and +the lower shear, but not H inverse or J inverse. + +When H is also invertible, let + +```text +U_B = [I -B], A = U_B diag(I,H^-1) C. + [0 I] +``` + +The long normalization has suffix `A^-1 U_B diag(I,H^-1)`. +It equals `C^-1=N`. This proves equality on the entire X bank, including +all borrowed-Y terms. It also preserves the same Y bank. + +## The reviewed structured words + +The signed S8 source selects `[0,7,15,36,42,46,79,89]`. Its selected +block has `det(L)=1/16`. Its full ordinary block has `det(H)=2^60`. +Both inverses are dyadic. The full centre response has determinant +`5^8`; the short construction does not require its dyadic inverse. + +The complete core costs 87,360 primitives, the selected physical +exchange costs 208, the selected inverse costs 192, and the lower +shear costs 1,440. The complete short normalized word therefore costs +89,200. The long word costs 99,472 and has the same complete map. +No boundary operation touches an owned or private field. + +For the positive S24 response, the selected row Gram is `6I`, and +the short suffix has cost 1,608. Each row query uses six selected +fields. It scales the query by one quarter, scatters the signed value, +then recovers zero from the changed selected query. The latter query +is minus one half of the former query. Orthogonality keeps the other +row queries unchanged. The final selected negations give N. +The complete word costs `87,984+1,608=89,592` and equals the long +96,012-primitive word. + +The independent reverse replay inserts zero observables before each +owned COPY and before the final reset. This checks query restoration +before reuse. It rejects a word that leaves a data-dependent residual +before CLEAR, even though that word has the same cleared endpoint. +It also rejects reversed suffix order and an incorrect movement of Q +through the borrowed-source matrix. + +## Limits + +The results establish exact scalar units and complete local interfaces +for the stated frozen sources. They leave routed-stage transport, +caller exterior phases, owner histories, child hosting, final decoding, +recursive precision, and complete supplier pricing open. They do not +prove a complete kappa improvement. Source generation and independent +review used separate AI-assisted calculations; no human or formal-kernel +review is claimed. diff --git a/research/raw-selected-centre-units/README.md b/research/raw-selected-centre-units/README.md new file mode 100644 index 0000000000..baf01aae1d --- /dev/null +++ b/research/raw-selected-centre-units/README.md @@ -0,0 +1,180 @@ +# Selected-centre units and exact local normalization + +This package gives a 38-port selected set with two dyadic unit properties +for the historical centre response `J=I-KR`. A union of complete +eight-port minors first has both properties at 40 ports. Thus the +38-port construction improves on that restricted class. It does not +prove that 38 is the minimum over all selected sets. + +The package also gives a general two-step normalization for an invertible +selected principal block. On a separate signed response, the complete +eight-port backward word costs 89,200 real dyadic scalar primitives. +It has the same complete map as the 99,472-primitive long word. The +24-port version costs 89,592 instead of 96,012. All four prices include +the native core and all physical exchanges. + +The [proof](PROOF.md), [source manifest](SOURCE-MANIFEST.json), and +[review index](REVIEW-INDEX.md) define the exact scope. The native words +use historical inputs from [PR #3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133) +and [PR #3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148). +They retain `2433 H1 + 724 H2 + 228 H3 + 102 H4 + 20 H5`: 3,507 native +children and rank mass 5,073. This is a local invoice, not a complete +supplier or the current selected construction. + +At the publication base +`b58ad9ef4d4e861b0eaa5dba41742bdc072dca51`, the +[selected record](https://github.com/CrocSwap/integer-mult-bounds/blob/b58ad9ef4d4e861b0eaa5dba41742bdc072dca51/certificates/selected-result.json) +uses [PR #4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470) +and gives conditional `kappa=60403/20000000=0.00302015`. +This package does not change that record or improve the complete kappa +calculation. Its historical source commits remain fixed. + +The [publication validation](VALIDATION.md) records successful relocated +normal and optimized replays. The [package manifest](PACKAGE-MANIFEST.json) +binds the complete package files to their byte hashes. + +## Raw response: two distinct unit tests + +For `R K=14I`, set `D=R_S K_S`, `T=D-13I`, and `W=I-D`. +The ordinary block `H=I-K_U R_U` is a dyadic unit exactly when T is. +After the ordinary inverse and selected upper correction, the original-X +response is `A=E+K T^-1 R`, where E is negative on S and positive on U. +Given invertible T, A is a dyadic unit exactly when W is. + +For the actual S38 witness, `det(T)=2^24`, `det(W)=2^12`, and +`det(A)=2^-12`. Both inverse orders are checked on all 112 data +coordinates. The complete native review checks the corresponding +boundary words and the full normalized backward composition. + +| Raw response selection | Balanced backward | Diagonal borrowed block, backward | Balanced forward | Extra real division-by-three scans, backward | +| --- | ---: | ---: | ---: | ---: | +| S8, one complete minor | 171,474 | 171,730 | 171,650 | 16 | +| S38, irregular set | 170,446 | 171,662 | 171,290 | 0 | +| S40, five complete minors | 170,274 | 171,554 | 171,266 | 0 | + +The S38 response A and its inverse cost 7,452 and 7,412 scalar +primitives. The complete diagonal-borrowed backward word followed by +`A^-1` costs 179,074, at the same native mass 5,073. + +The old S8 backward words are rational local words. Their 16 division +scans have a separate price and a separate common-grid contract. They +are not dyadic primitive operations. Their original-X response has an +eight-dimensional kernel even after exact division. The two-bank word +remains invertible because selected Y retains original data. The +[odd-grid review](frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.md) +states the root conversion, completed-child, final unscaling, width, +scan, and binary-guard obligations. + +## Changed structured response: short normalization + +For a general response `J=[[L,B],[D,H]]`, the raw backward word has +original-X response `C=[[-L,0],[-D,I]]` on `z=(Q_S a,u)`. +If L is a unit, apply `X_S <- -L^-1 X_S`, then +`X_U <- X_U + D X_S`. The second step reads the changed X_S. +This is C inverse. It does not require an inverse for H or for the +complete J. The full borrowed-source terms remain explicit. + +| Changed response | Long normalized backward | Short normalized backward | Saving | +| --- | ---: | ---: | ---: | +| Signed S8 | 99,472 | 89,200 | 10,272 | +| Structured S24 | 96,012 | 89,592 | 6,420 | + +These S8 and S24 responses differ from the raw `J=I-KR` response above. +Their coefficients are dyadic, and they use no odd division. The signed +S8 short suffix uses no owned field. The S24 suffix uses the existing +C0 and restores its query to zero before every reuse and final reset. + +The independent review checks all 18 complete words for both providers. +It compares the short and long maps on all 640 input columns: 224 data +fields, 408 arbitrary helper fields, and eight owned fields. It also +checks all 91 private zero-buffer outputs. Owned admission uses the +allowed CLEAR operation; the claim does not restore the contents that +preceded owned admission. Helper restoration uses the exact inherited +physical wrappers. All port and warp operator products retain their +order. + +## Replay + +Use Python 3.10 or later on macOS or Linux. Only the standard library is +required; the native reviewer uses its Unix `resource` module. Use one +process and keep at least 3 GiB free disk space. From this directory, run: + +```sh +python3 -I -B reproduce.py --out /tmp/selected-centre-units-normal +python3 -I -B reproduce.py --optimized --out /tmp/selected-centre-units-optimized +``` + +Use a new output path each time. Each command ends with: + +```text +PASS_RAW_SELECTED_CENTRE_UNITS +``` + +The runner checks every input hash, copies the frozen workspace to a +temporary directory, and runs eight checks in sequence. It compares +every mathematical receipt field with the retained receipt. It excludes +only timing, process memory, and checker-file hashes from that +comparison. The safe replay entrypoints have different file hashes from +the original fixed-output checkers. Regenerated compressed output is +compared by its decompressed payload. The runner checks the source files +again at the end and removes its temporary workspace. + +The eight checks cover the independent S38 units, the exact witness, +all 14 complete-minor cases, the odd-grid contract, both native phase +providers, the 12 serial S8/S40 words, the S38 words and response units, +and the 18 structured words. The two centre matrices from the old and +transferred cores must agree exactly. The old complete-minor replay uses +its own historical 480-helper core; the other native interface checks +use the transferred 408-helper cores. Their bills are not combined. + +The optimized run enables `-O` for the independent reviewers and other +checks that use explicit failures. The frozen dyadic witness producer +uses Python assertions and always runs with assertions enabled. Its +positive S38 result also has the independent root and native checks. +The package does not adopt its unreviewed lower bound of twelve or its +later separator claims. + +The native phase check uses a separate exact interpreter. It checks +3,036 child classes per provider, both literal warp orientations, +ordinary adapters, and residual wrappers. The complete interface +checks bind to those exact records. Negative controls reject a changed +global phase, a wrong helper endpoint, omitted boundary factors, +incorrect Q order, and an incorrect suffix order. The odd-grid review +also tests exact integer scans and their divisibility conditions. + +Frozen producer emitters are retained as source evidence. The supported +entrypoint is `reproduce.py`: it verifies the serialized words without +the external source-generation toolchain. The package does not claim a +fresh regeneration of all historical phase-compiler output or a replay +of the current selected supplier. + +## Review status and retained history + +The original proofs and freezes remain byte-exact. Some retain old +sentences such as "pending review" or "publication not authorized". +Those sentences record their historical state. The linked later reviews +define the accepted local claims in this package. Publication authority +and the current selected result are separate from those frozen records. + +The fixed-A,T split-pair bound of 40 is retained as related evidence. +It has extra baseline and pairing restrictions. The S38 witness does +not satisfy those restrictions. The pair-bound review did not repeat +the 1,130,168-case enumeration. That enumeration and the related +fixed-baseline spectral bounds are outside this package's fresh replay. + +## Open next questions + +- Can an arbitrary selected set smaller than S38 satisfy both raw unit + conditions? Start with an exact candidate Gram matrix and the actual + 112 columns. The minimum is open; failed searches do not settle it. +- Can a paid routed caller use the normalized local interfaces? Start + with one exact source-to-source transition and preserve the full + borrowed-source response. Inter-call access, endpoint conversion, + owner histories, child hosting, and precision remain open. +- Can the selected-principal normalization apply to a current supplier? + Derive its actual response and endpoint operators first. The historical + 5,073 profile and centre rows are not a substitute for those inputs. + +See [NOTICE.md](NOTICE.md) for source credit and AI assistance. These are +exact local proofs and checks. They do not give a complete multiplication +theorem, a global decoder, or a new complete kappa bound. diff --git a/research/raw-selected-centre-units/REVIEW-INDEX.md b/research/raw-selected-centre-units/REVIEW-INDEX.md new file mode 100644 index 0000000000..cafc293242 --- /dev/null +++ b/research/raw-selected-centre-units/REVIEW-INDEX.md @@ -0,0 +1,47 @@ +# Exact review scope + +This index supersedes the old status sentences in the frozen source +files. It does not change their bytes. "Independent" means a separate +AI-assisted implementation and calculation. No human or formal-kernel +review is claimed. + +| Claim | Proof and accepted review | Decisive freeze or receipt SHA256 | +| --- | --- | --- | +| General selected-set unit tests and actual S38 | [Independent root proof](frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.md), [receipt](frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.json) | `0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f` | +| S38 full words, both response-unit directions, and complete normalized composition | [Native review](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW.md), [freeze](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW-FREEZE.json) | `09dd1551a85e5871d6b686d13cb2ff0877e4370d3d8471e1b76020355eed3a04` | +| Twelve serial S8/S40 words | [Native review](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.md), [freeze](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-FREEZE.json) | `c4f4d718282fe0b26e64d4a9c3e5a9c005d78420e93acd6f6ded07aaf6b2bc15` | +| Old S8 exact odd-grid contract and complete-minor scalar factors | [Review](frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.md), [freeze](frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/FREEZE.json) | `81ebbea971c0902a80479f9af4c82e72c660093c9f712b537690293aaaf21d60` | +| Structured S24 full transfer and coherent query restoration | [Review](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/REVIEW.md), [freeze](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json) | `fade8160a807a2687a007a67dec3f21cfe4ebcc1840130c6650e4e2acbc6fa3b` | +| Eighteen reduced S8/S24 full words and short normalization | [Proof](frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md), [review](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/REVIEW.md), [freeze](frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/FREEZE.json) | `a5c4619ba3e3a627f136dadda4b3c2e94ca0653acc4943f66a9ceab595218f9e` | +| Exact native phases for both historical providers and both orientations | [Review](frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md), [receipt](frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json) | `924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d` | + +The fresh package replay checks all eight listed execution stages and +compares their mathematical receipt fields. The reduced-interface +review checks the S24 long word again as a complete dependency, then +checks the short word and their equality. It does not rerun every older +S24 variant. The native phase stage runs both providers. + +The general complete-minor theorem and its original physical replay are +in [RAW-MINOR-SUBSETS.md](frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-MINOR-SUBSETS.md). +This uses the older 712-input, 480-helper core. Its R equals the later R +exactly. Its complete local price is not the later 408-helper price. + +The [dyadic witness producer proof](frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/PROOF.md) +retains additional claims. This package accepts the positive 38-port +construction through the separate root and native reviews. It does not +adopt the producer's lower bound of twelve or the later family-separator +claims. No search is run by the package replay. + +The [fixed-pair proof](frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md) +and its [bounded review receipt](frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/PAIR-BOUND-REVIEW.json) +are related evidence. The review reconstructs the geometry, determinant +polynomial, count, and witness, but does not repeat the large enumeration. +This package does not rerun that enumeration or use the result to prove +a minimum for arbitrary selected sets. The fixed-baseline spectral bound +and later unreviewed separator results are outside the accepted scope. + +The source manifest includes exact byte hashes and decompressed hashes. +Duplicate normal and optimized historical packets are retained only +where a frozen review checks both paths by name. The independent replay +does not import producer emitters. 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Frozen source files are unchanged." +} diff --git a/research/raw-selected-centre-units/VALIDATION.md b/research/raw-selected-centre-units/VALIDATION.md new file mode 100644 index 0000000000..9be0c71333 --- /dev/null +++ b/research/raw-selected-centre-units/VALIDATION.md @@ -0,0 +1,82 @@ +# Publication validation + +On 22 October 2026, both runs passed all eight stages from a copy outside +the research workspace. The normal run took 175.274 seconds. The +optimized run took 143.069 seconds. Each run used one process at a time. +The machine used Python 3.14.7 on macOS 26.6.1, ARM64. Linux and other +Python versions were not tested in this validation. + +The commands ran from `/private/tmp`: + +```sh +python3 -I -B /private/tmp/raw-selected-units-cold-package-20261022/reproduce.py --out /private/tmp/raw-selected-units-final-normal-20261022 +python3 -I -B /private/tmp/raw-selected-units-cold-package-20261022/reproduce.py --optimized --out /private/tmp/raw-selected-units-final-optimized-20261022 +``` + +Both commands returned: + +```text +PASS_RAW_SELECTED_CENTRE_UNITS +``` + +The retained [normal report](validation/normal/REPLAY.json) and +[optimized report](validation/optimized/REPLAY.json) give the exact +subprocess commands, status values, and times. Their temporary workspace +paths record the executed runs. Those temporary workspaces were removed +after each run. The retained logs and receipts are in the same folders +as the reports. + +| Check | Normal | Optimized reviewers | +| --- | --- | --- | +| Independent irregular S38 units | PASS | PASS | +| Fixed dyadic witness | PASS | PASS, assertions enabled | +| All 14 complete-minor cases | PASS | PASS | +| Odd-grid and minor factors | PASS | PASS | +| Native phase records, base and extra providers | PASS | PASS | +| Serial S8 and S40 local words | PASS | PASS | +| S38 native words and response inverse | PASS | PASS | +| Structured short normalization | PASS | PASS | + +Each run verified all 187 source files before and after execution. The +old and transferred centre rows agreed exactly. Every mathematical +receipt field agreed with the retained historical result. The +regenerated complete-minor program agreed by decompressed payload. + +The [mode comparison](validation/COMPARISON.json) also checks the eight +mathematical receipts against each other. It removes only the keys +`seconds`, `max_rss_bytes`, and `checker_sha256`. The three native input +manifests agree byte for byte. All other receipt fields agree. + +The input manifest hash is: + +```text +ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f +``` + +The replay entrypoint hash is: + +```text +0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd +``` + +The full package manifest covers the proof, source files, replay code, +and validation receipts. It excludes only the manifest itself. The +independent publication review is retained outside this package by the +coordinating agent. + +The separate [primary source check](validation/PR2588-SOURCE-VERIFICATION.json) +confirms all five PR #2588 phase-source files against GitHub bytes at +commit `8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb`. It recomputes both +the Git blob hash and SHA-256. Four files used new Contents and separate +blob reads. The fifth used an earlier readback at the same exact commit. +The source notice, its two referenced notices, source README, and +same-commit license are retained. The +[readback index](validation/pr2588-readback/INDEX.json) maps the original +evidence paths to the portable copies in this package. These added +publication records do not change the 187 replay inputs or their manifest. + +These checks verify the listed exact local maps and costs. They do not +repeat the fixed-pair enumeration, prove a global minimum of 38 ports, +regenerate every historical phase-compiler output, or replay the current +selected supplier. They do not establish a complete multiplication +theorem or a new complete kappa bound. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/ANNEX-MANIFEST.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/ANNEX-MANIFEST.json new file mode 100644 index 0000000000..08a879c63d --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/ANNEX-MANIFEST.json @@ -0,0 +1,177 @@ +{ + "accepted_main_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "bytes": 524782, + "excluded_from_this_manifest": [ + "ANNEX-MANIFEST.json" + ], + "file_count": 41, + "files": { + "NOTICE.md": { + "bytes": 1874, + "sha256": "a631d861cf5d9305495c2f43524957c763f28eb04e1ea21169d0b276a690e286" + }, + "PORTABLE-ADAPTATION.json": { + "bytes": 735, + "sha256": "f543650407694f771456da07bbd470e82dcb67c12b7a0c50c12fc3780667f9cc" + }, + "PORTABLE-ADAPTATION.patch": { + "bytes": 1836, + "sha256": 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No global minimum or kappa change.", + "source_manifest_sha256": "9a891d1ea4656b9dc60321646af4e6ef3cdb4213fffef55ebeb63624545a1904" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/NOTICE.md new file mode 100644 index 0000000000..4e7d028f67 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/NOTICE.md @@ -0,0 +1,34 @@ +# Source credit and license + +The schur-selection lane supplied the spectral proof and exact producer +check. The temporal-reuse lane supplied the separate source reconstruction, +graph-case check, rational interval check, and proof review. The +cover-algebra lane supplied the selected-baseline necessity and +uniqueness lemma. The coordinating calculation supplied the first +spectral interval lead. The earlier split-pair lane supplied the actual +root data and the fixed A,T sets. The original proof and review files +retain these roles without changes. + +The local scalar word and frame data come from the gauge44 and T16 +lineage at historical commit +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. The exact +[gauge notice](notices/research/gauge44-slots-t16/NOTICE.md), +[construction notice](notices/research/gauge44-slots-t16/construction/NOTICE.md), +[T16 notice](notices/research/gauge44-slots-t16/t16/NOTICE.md), and +[upstream notice](notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md) +remain in this annex. The T16 notice credits Jeremy Kothe's +[PR #799](https://github.com/CrocSwap/integer-mult-bounds/pull/799) local +word, Chafik Boukhalfa's +[PR #741](https://github.com/CrocSwap/integer-mult-bounds/pull/741) frames +and preceding owner construction, and Hao Yan's T16 integration. The +full inherited contributor credit remains in those notices. + +Ali Romman directed the campaign. Substantial research, proof, code, +packaging, and review work used OpenAI Codex. Separate agent checks are +not independent human review or formal-kernel proofs. This package is +not an official OpenAI release or endorsement. + +Apache-2.0 applies. The exact [source license](notices/LICENSE) remains +applicable. The two source archive members, source notices, and frozen +proofs are unchanged. The portable checker changes only input access; +its exact diff and both source hashes are retained. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.json new file mode 100644 index 0000000000..248bd00a3b --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.json @@ -0,0 +1,17 @@ +{ + "archive_sha256_field": "Historical source archive identity. Each replay checks the two compressed and decoded members; it does not fetch or read the full archive.", + "change": "Read two exact archive members from files instead of Git and the full archive. Remove unused I/O imports.", + "original_sha256": "83de0b4694a8ef1ee501130bca9ddedf6e265f6be44b855e61e327646a7529d9", + "portable_sha256": "5bb1505f8a20b80e6f44673e1e067321b9255b475c3d034c0c3e2236ddeca5e6", + "source_reconstruction_and_all_later_code_unchanged": true, + "status": "PASS_INPUT_READER_ONLY_ADAPTATION", + "unchanged_function_asts": [ + "graph_cases", + "log_bounds", + "main", + "need", + "pinned", + "rational_floor", + "spectral_cases" + ] +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.patch b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.patch new file mode 100644 index 0000000000..4dcdb99b60 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/PORTABLE-ADAPTATION.patch @@ -0,0 +1,42 @@ +--- original/review_spectral_bound.py ++++ portable/review_spectral_bound.py +@@ -3,14 +3,11 @@ + from collections import Counter + from fractions import Fraction as Q + from hashlib import sha256 +-from io import BytesIO + from itertools import product + from math import comb, isqrt + from pathlib import Path + import gzip + import json +-import subprocess +-import tarfile + + + HERE = Path(__file__).resolve().parent +@@ -51,19 +48,12 @@ + + + def source_matrix(): +- raw = subprocess.check_output(["git", "show", BASE + ":" + ARCHIVE], +- cwd=ROOT / "worktrees/k5-centre-sharing") +- need(sha256(raw).hexdigest() == ARCHIVE_PIN, "Archive pin differs") + inputs = {} +- with tarfile.open(fileobj=BytesIO(raw), mode="r:gz") as archive: +- for name, (compressed_pin, payload_pin) in MEMBERS.items(): +- matches = [x for x in archive.getmembers() if x.name == name] +- need(len(matches) == 1 and matches[0].isfile(), "Invalid archive member") +- compressed = archive.extractfile(matches[0]).read() +- need(sha256(compressed).hexdigest() == compressed_pin, "Member pin differs") +- payload = gzip.decompress(compressed) +- need(sha256(payload).hexdigest() == payload_pin, "Payload pin differs") +- inputs[name.rsplit("/", 1)[-1]] = json.loads(payload) ++ for name, (compressed_pin, payload_pin) in MEMBERS.items(): ++ compressed = pinned(ROOT / "source-members" / name, compressed_pin) ++ payload = gzip.decompress(compressed) ++ need(sha256(payload).hexdigest() == payload_pin, "Payload pin differs") ++ inputs[name.rsplit("/", 1)[-1]] = json.loads(payload) + word = inputs["CANONICAL-WORD.json.gz"] + events = inputs["LOCAL-PROGRAMS.json.gz"]["forward"] + cut = events.index(["phase", "centers"]) diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/README.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/README.md new file mode 100644 index 0000000000..20059ce421 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/README.md @@ -0,0 +1,137 @@ +# A spectral gap for fixed selected baselines + +For the fixed A,T source interface below, every admissible selected set +has at least 27 ports. Sizes 28, 29, 30, and 31 are also impossible. +Thus its size must be 27 or at least 32. Existence at size 27 remains +open; its determinant must equal `2^42` in the normalization below. +This is a scoped lower bound. It is not a minimum over arbitrary +selected sets, a native cost bound, or a complete kappa improvement. + +Read the exact [source proof](frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md), +[independent proof review](frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md), +[selected-baseline necessity lemma](frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md), +and [fresh validation](VALIDATION.md). The [source manifest](SOURCE-MANIFEST.json) +binds all replay inputs. The [annex manifest](ANNEX-MANIFEST.json) binds +all annex files except itself. + +## Exact allowed class + +Use the historical integer matrix R of size 8 by 112, with +`R R^T=56I`, `K=R^T/4`, and `J=I-KR`. The selected set S contains both +of these disjoint sets: + +```text +A = [0, 7, 20, 27, 36, 46, 57, 111] +T = [21, 37, 47, 76, 81, 87, 92, 110] +``` + +Each fixed minor has Gram matrix `4I`. Selection outside A and T is +unrestricted; complete split-sign pairs are not required. + +Let E be a supplied unit that writes a systematic query in A and fixes +all other rows. A source unit F must satisfy `F_S=E_S` and +`(JF)_U=selector_U`, where U is the complement of S. Thus all selected +baseline rows outside A retain their specified values. The necessity +lemma proves that the ordinary block must be a unit. This is equivalent +to the unit condition on `D=I-R_U K_U`. + +Write V for the extra selected columns, `v=|S|-16`, and +`M=R_V R_V^T`. Then: + +```text +D = -11I + M/4 +B = -4D = 44I - M +``` + +A dyadic-unit D requires `det(B)` to be a nonzero power of two. For +`v<8`, the determinant lemma leaves an uncancelled factor of 11. +This excludes all sizes below 24 in this class. The spectral proof gives: + +| Selected size | Strict determinant interval | +| --- | --- | +| 24, 25, 26 | `2^42 < det(B) < 2^43` | +| 28, 29, 30, 31 | `2^41 < det(B) < 2^42` | + +At size 27 the only remaining power is `2^42`. This is a necessary +condition, not an existence result. Sizes 32 through 39 also remain +open in this unpaired class. The separate 40-port split-pair bound +has additional pairing restrictions. + +The proof uses a graph bound: fifteen distinct roots in dimension eight, +with squared norm four and pair products in `{0,2,-2}`, have at most +93 nonorthogonal pairs. Exact rational logarithm intervals then exclude +the listed powers of two. For size 31, the independent 64-term interval +gives a lower logarithmic margin greater than `1/1250`. No numerical +eigenvalue estimate or determinant search is used. + +## Relation to the main package + +The S38 construction uses a different allowed class. It does not contain +these fixed A and T, and its two unit tests do not impose this selected +source-baseline contract. The annex does not prove that S38 is optimal. +It also does not adopt the separate dyadic producer's lower-twelve claim +or later separator claims. + +The original proof and review remain byte-exact. Their references to +earlier review or publication status record that historical state. The +selected-block normalization note is retained to support the ordered +unit identities. Its scalar invoice and implementation claims are not +part of this annex's fresh replay. + +All 256 files in the accepted main package manifest remain unchanged, +as does that manifest. The earlier manifest freezes the original file +set. The annex manifest gives separate coverage for these additions. +The main eight-stage replay and its receipts are unchanged. + +## Replay + +Use Python 3.10 or later, the standard library, one process at a time, +and at least 3 GiB free disk space. From the repository root, run: + +```sh +python3 -I -B research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/replay.py --out /tmp/fixed-baseline-spectral-gap +``` + +Use a new output directory outside the annex. The final line is: + +```text +PASS_FIXED_BASELINE_SPECTRAL_GAP +``` + +The wrapper runs the original producer with assertions enabled, then +the independent checker. Add `--optimized` to run the independent +checker with `-O`. The producer still runs without `-O`, even if the +wrapper itself runs with `-O`. Both receipt files must match the +historical bytes exactly. + +The independent checker reconstructs all 112 source columns by backward +propagation of eight forms through the 12,550-event prefix. It checks +the fixed minors, all 6,216 root pairs, 2,187 possible residual patterns, +2,248 degree inequalities, and all 16 size intervals from 24 through 39. +It uses a separate 64-term rational logarithm routine and also checks +the producer's saved 32-term margins exactly. It imports no producer +code. The factor-11 and selected-baseline necessity arguments are proof +steps retained in the independent review; the finite checker does not +enumerate all selected sets. + +The [portable adaptation](PORTABLE-ADAPTATION.json) replaces only Git +and full-archive reads with the two exact compressed members. The +[diff](PORTABLE-ADAPTATION.patch) records that change. All source +reconstruction and mathematical checks remain unchanged. Each replay +checks the compressed and decoded member hashes. The historical +archive hash in the independent receipt identifies the source archive; +the portable replay does not read that full archive. + +The [extraction receipt](provenance/SOURCE-EXTRACTION.json) records a +fresh comparison with the full local archive and the earlier separate +[pinned-source check](provenance/PRIOR-PINNED-SOURCE-CHECK.json). The +source commit is `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`, and the +[source archive](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/community-frontier1042-audit/selected-replay.tar.gz) +has SHA256 `22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754`. +This historical source is not the selected PR #4470 construction at +publication base `b58ad9ef4d4e861b0eaa5dba41742bdc072dca51`. + +No million-vector split-pair enumeration, native interface replay, +ownership schedule, routed caller, recursive invoice, current supplier, +or complete kappa calculation ran for this annex. The exact notices and +source credit are retained in [NOTICE.md](NOTICE.md). diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/SOURCE-MANIFEST.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..c153e8f950 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/SOURCE-MANIFEST.json @@ -0,0 +1,134 @@ +{ + "accepted_main_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "files": { + "frozen/source-members/slots/local/CANONICAL-WORD.json.gz": { + "archive_member": "slots/local/CANONICAL-WORD.json.gz", + "bytes": 84805, + "decompressed_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + 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No global selected-set minimum." +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/VALIDATION.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/VALIDATION.md new file mode 100644 index 0000000000..356354280f --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/VALIDATION.md @@ -0,0 +1,58 @@ +# Annex validation + +Both fresh relocated runs passed on 22 October 2026. The normal run took +0.362 seconds. The optimized run took 0.350 seconds. Each used one process +at a time, Python 3.14.7, and macOS 26.6.1 ARM64. Other systems and Python +versions were not tested in this validation. + +The commands ran from `/private/tmp`: + +```sh +python3 -I -B /private/tmp/fixed-baseline-spectral-cold-20261022/replay.py --out /private/tmp/fixed-baseline-spectral-normal-20261022 +python3 -I -O -B /private/tmp/fixed-baseline-spectral-cold-20261022/replay.py --optimized --out /private/tmp/fixed-baseline-spectral-optimized-20261022 +``` + +Both commands printed: + +```text +PASS_UNPAIRED_SPECTRAL_EXCLUSIONS +PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND +PASS_FIXED_BASELINE_SPECTRAL_GAP +``` + +The [normal report](validation/normal/REPLAY.json) and +[optimized report](validation/optimized/REPLAY.json) retain the exact +commands, source hashes, stage statuses, and times. The producer ran +with assertions enabled in both runs. The independent checker used +explicit failures, including in the optimized run. + +Both producer receipts and both independent receipts match the +historical receipt bytes exactly. The +[mode comparison](validation/MODE-COMPARISON.json) records their hashes. +No fields were removed for this comparison. The replay verified all +21 source files before and after execution. It checked both compressed +member hashes and both decoded payload hashes. + +The source manifest SHA256 is: + +```text +9a891d1ea4656b9dc60321646af4e6ef3cdb4213fffef55ebeb63624545a1904 +``` + +The replay entrypoint SHA256 is: + +```text +4d6c64b3bdd95d9d7369eb63bfd6cdce0b94edec19954f3dfc878eadede66fdc +``` + +The [preservation check](validation/MAIN-PRESERVATION.json) verified +all 256 accepted main files and the unchanged main package manifest. +Only this annex was added. The earlier main replay was not repeated. +The independent publication review of this annex is stored separately +by the coordinating agent. + +This validation repeats the bounded source reconstruction, root cases, +and rational spectral inequalities. The selected-baseline necessity +and factor-11 arguments are retained proof steps. 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Native endpoint mixing and a changed controller are not admitted.", + "status": "PASS_CENTRE_FREE_SCALAR_INTERFACE", + "target_endpoint": "T_q = F C_q^-1; distinct q have distinct frames", + "word_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md new file mode 100644 index 0000000000..37c19636d8 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NECESSITY.md @@ -0,0 +1,76 @@ +# Exact admission for a selected-baseline source code + +The selected-block unit condition is necessary for the stated source +interface. It is not only a sufficient construction. This result uses +the same ordered coefficient ring as SELECTED-BLOCK-NORMALIZATION.md. +It does not prove a lower bound for a different source interface. + +Split the source and target coordinates into S and U. Let A be a subset +of S. Let E be a supplied unit that writes a systematic query into A +and fixes every other row. In particular, E_U=selector_U. Its selected +rows E_S specify both the new query in A and the unchanged baselines +in S minus A. + +Suppose a source unit F satisfies + + F_S=E_S, (JF)_U=selector_U. + +Put C=F E^-1. Then C_S=selector_S. Thus C has the block form + + C = [[C_UU,C_US],[0,I_S]]. + +Since C is a unit, C_UU is a unit. Also E^-1 fixes the U rows, so + + J_U C=selector_U E^-1=selector_U. + +The U columns of this equation give J_UU C_UU=I_U. Therefore +J_UU=C_UU^-1 is a unit. The S columns then fix + + C_UU=J_UU^-1, C_US=-J_UU^-1 J_US. + +These equations determine C and F uniquely. No commutation of +operator coefficients is used. + +Conversely, if J_UU is a unit, these blocks define a unit C, and +F=C E has the required selected rows and target response. For +J=I-KR, the standard ordered block identities give the equivalent +condition that + + D=I-R_U K_U + +is a unit. The unique source factor is + + C=H=I+bar(K_U)D^-1R, + H^-1=I-bar(K_U)R, + F=H E. + +Thus the selected-block test is exact for even one supplied systematic +query E. It is not necessary to demand that F work for every future +query before this test applies. The proof does not apply if the source +may also change the selected baseline rows, if the query is stored in +a different representation, or if the target interface is changed. + +For the actual R and K=R^T/4, suppose S is a union of k disjoint +eight-column minors, each with Gram4I. Then R_S K_S=kI and + + D=(k-13)I. + +Over the dyadic or Gaussian-dyadic scalar ring, and for 1<=k<=14, +this is a unit exactly for k in {5,9,11,12,14}. The first such union +therefore has forty selected fields. This also holds in the group +algebra of cover permutations: augmentation makes a scalar inverse +necessary, and a dyadic scalar inverse is sufficient. It does not +prove that forty is minimal among arbitrary selected subsets. + +The five actual minors and their dyadic inverse are checked in +SELECTED-BLOCK-NORMALIZATION.json. This note adds an ordered proof; +it adds no native frame, scalar invoice, owner, or controller claim. +The source E and H still need the native implementation at the stated +input boundary. The current five-minor component supplies one such +implementation, subject to its literal-word and global obligations. + +The parent supplied the selected-block construction. The controller +lane supplied the common five-minor instance. This lane derived the +necessity and uniqueness statement. Research used substantial OpenAI +Codex assistance under the user's direction. New material uses +Apache-2.0. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NORMALIZATION.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NORMALIZATION.md new file mode 100644 index 0000000000..4f65369008 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/SELECTED-BLOCK-NORMALIZATION.md @@ -0,0 +1,169 @@ +# A source interface with free selected baselines + +A larger selected target set can remove the odd source inverse that +occurs in the eight-row interface. The actual R has five disjoint +orthogonal minors whose union has 40 rows and contains both earlier +selected minors A and T. On the other 72 rows, the target becomes an +identity shear. The source can retain all 32 selected baseline fields +outside A and place any supplied systematic query in A. + +This note proves the ordered source theorem and its complete affine +freedom. It checks the actual 40-row example and a supplied scalar word. +It does not give a complete nine-stage controller or supplier invoice. + +## General selected-block theorem + +Let J=I-KR. Divide the source and target coordinates into S and U. +Write K_S and K_U for K with rows outside the named set replaced by +zero. Suppose the r by r matrix + + D=I-RK_U + +is a unit over the allowed coefficient ring. Define + + H=(I-K_U R)^-1=I+K_U D^-1 R. (1) + +The ordered identities are + + RH=D^-1R, + JH=I-K_S D^-1R. (2) + +The first follows from I+(RK_U)D^-1=D^-1. The second follows by +writing J=(I-K_U R)-K_S R. The map H fixes every S coordinate. +Neither formula assumes that unrelated operators commute with D. + +Every source map F with + + (JF)_U=I_U + +has a unique factorization + + F=H E, (3) + +where E fixes the U coordinates pointwise. To prove this, put +E=H^-1F. The U rows of H^-1=I-K_U R are exactly the U rows of J. +The converse follows from (2). The source F is a unit if and only +if E is a unit, or equivalently if the selected block E_SS is a unit. +Thus (3) describes all source freedom under this target-row condition. +The selected map may contain arbitrary allowed linear reads from U. + +The unit condition on D is equivalent to the unit condition on the +large block J_UU=I_U-K_(U)R_(U). The inverse in (1) supplies the exact +small-rank lowering. It is not a general large-matrix inverse oracle. + +## Future query storage with selected baselines retained + +Let A be a subset of S with r fields. Let B=S minus A. Suppose the +desired query row M has a unit restriction M_A. The systematic source +map E_M is + + (E_M y)_A=M_A^-1 M y, + (E_M y)_B=y_B, + (E_M y)_U=y_U. (4) + +This is an elementary lower shear: its A-by-A block is I, and its +added read has no A columns. Its inverse changes the sign of that +added read. Apply E_M first, then H. The map F=H E_M preserves the +selected log and every B baseline because H fixes S. Moreover, + + (JF)_U=I_U. + +The target correction C=JF-I is supported on S. The actual input-copy +theorem therefore gives at most |S| rank-one children when every +nonzero row of C has a legal common-Y read and the original X port +differs by its one native line. It still needs a cleared owned +accumulator and the complete scalar and address invoice. + +For the routed future query M=R_t, the selected pivot is an explicit +unit: R_(t,A)=R_A(D_t)_A, up to the stated mode-coordinate gauges. +No inverse of R_tZ_s is involved. At the input of B_s, before both +positive charts s and t, E_(R_t) uses the future chart and H_s uses +the current chart. The accepted phase-corrected Y alignments support +both source codes there. A literal full-cover implementation must +still respect the global sweep order and every coefficient read. +This note claims the source algebra, not a new emitted global word. + +## A 40-row actual instance + +Use K=R^T/4 and RK=14I. The following five minors are disjoint: + + A=[0,7,20,27,36,46,57,111], + T=[21,37,47,76,81,87,92,110], + C=[1,6,22,28,33,49,58,109], + E=[2,9,14,19,88,95,101,106], + F=[3,8,15,18,89,94,102,105]. + +Each minor has Gram 4I. Let S be their union. Then + + RK_S=5I, RK_U=9I, D=-8I. + +The source word is particularly simple: + + H=I-K_U R/8, + H^-1=I-K_U R, + RH=-R/8, + JH=I+K_S R/8. (5) + +The 32 selected fields B=S minus A remain literal arbitrary source +baselines. They are not assumed zero and receive no source write. +For M=R, the A output is R_A^-1 R y. Thus the old T minor and the +other 24 selected fields can retain their old values while A stores +the complete original query. + +The source H can use one private field. In component k, form R_k y +in that field and scatter -K_(U),k/8 times the result into U, then +clear. The relation R_i K_(U),j=9 delta_(i,j) means an earlier update +does not change any later query row. Its own already-read query can +change; no later step uses that original value. The inverse word uses +the coefficient -K_(U),k and has the same cross-component property. +This proves a literal serial source word on arbitrary source inputs. + +For a general unit D, the r query values can instead be formed in r +owned private fields before any source write. Scatter K_U D^-1 times +those values, then clear. The original local interface has eight +private fields, so this does not by itself require a new field. Their +native frames and lifetime must still be bound in the emitted word. + +## Same-chart scalar check and allowance + +The checker uses E_R in (4), then the serial H word in (5). It tests +all 112 columns, both complete source inverse orders, every serial +query read, all 32 unchanged baseline coordinates, and the exact +identity target outside S. It forms C=JH E_R-I directly and checks +that all and only the 40 rows in S are used. + +The scalar allowance is for this same-chart instance only. A future +chart adds real scalar and address work that is not included here. +The source E_R has 416 signed-half ADDs. The source H has 448 unit +query ADDs, 288 coefficient scatters of magnitude 1/32, and 16 CLEARs. +Their total scalar allowance is 12960 real primitives. + +The input correction has 2120 coefficient ADDs. The eight A rows each +have one coefficient 1/8 and 52 coefficients of magnitude 5/8. Each +of the other 32 selected rows has one coefficient 1/4, 48 coefficients +of magnitude 1/8, and four of magnitude 1/16. Including 40 target ADDs +and 80 CLEARs, the input allowance is 32848. The total added scalar +allowance is 45808. Native calls and their address maps are separate: +40 rank-one children and 80 maps in the direct input-copy lowering. + +The larger selected set buys independent baseline channels. It does +not prove that the controller can exploit them at a lower complete +cost. In particular, the source H is not the identity on U, and its +effect must be included in every later bank bridge and local call. + +Run: + + python3 -I -B work/centre-encoding-campaign-20261014/lanes/cover-algebra/check_selected_block_normalization.py + +Expected status: PASS_EXACT_SELECTED_BLOCK_SOURCE_NORMALIZATION. +The receipt gives the source and proof pins, the complete selected +sets, all scalar counts and the stated scope. There is no new native +phase replay, owner assignment, full controller or kappa claim. + +The parent proposed selected-block normalization and future query +storage. This lane supplied its ordered classification and the simple +rank-eight H word. The controller lane supplied the common five-minor +witness, which this checker verifies independently. The controller and +selection lanes investigate its global use and +smaller selected sets. Research used OpenAI Codex under the user's +direction. 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], + [ + 1, + 0, + 1, + 0 + ] + ], + "right": [ + [ + 0, + 1, + 0, + -1 + ], + [ + 0, + 1, + 0, + 1 + ], + [ + 1, + 0, + -1, + 0 + ], + [ + 1, + 0, + 1, + 0 + ] + ] + } + ], + "distinct_matching_supports_with_size_40": 13824, + "sharp_schur": "-8 I8", + "sharp_inverse": "-I8/8", + "scope": "Additional roots must occur in full split-sign pairs.", + "not_claimed": [ + "A lower bound of 40 for general selections", + "A supplier or kappa improvement" + ] +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md new file mode 100644 index 0000000000..d11a426d3e --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md @@ -0,0 +1,128 @@ +# Selected Schur blocks for the actual centre matrix + +This note gives a sharp bound in one specified selection class. It does +not give a lower bound of 40 for all selections. The general lower bound +proved here is 24. Independent agent review is still required. + +Let R be the actual 8 by 112 matrix from the frozen supplier. Put +K = R^T/4. For a selected set S, let U be its complement and define + + D_S = I - R_U K_U = R_S R_S^T/4 - 13I. + +The required condition is that D_S be invertible over Z[1/2]. Thus its +determinant must be a nonzero signed power of two. The fixed subsets are + + A = [0, 7, 20, 27, 36, 46, 57, 111] + T = [21, 37, 47, 76, 81, 87, 92, 110]. + +They are disjoint, and R_A R_A^T = R_T R_T^T = 4I. + +## A general lower bound + +Every admissible S that contains A and T has at least 24 columns. + +To prove this, let V contain the r = |S|-16 additional columns. Then + + D_S = -11I_8 + VV^T/4. + +For r < 8, the determinant identity gives + + det(D_S) = (-11)^(8-r) det(-11I_r + V^T V/4). + +The second determinant is in Z[1/2]. Hence det(D_S) is zero or has the +odd factor 11. It is not a unit of Z[1/2]. This proves the bound. + +## The split-pair class + +Split the eight coordinates into 0 through 3 and 4 through 7. The fixed +set A union T consists of the two complete four-coordinate support +planes. Each other column has two nonzero entries in each half. All +nonzero entries are 1 or -1. + +The 96 other columns form 48 pairs. Each pair has representatives + + (a,b), (a,-b), + +up to an overall sign on either column. Each of a and b is a signed +two-coordinate vector in four dimensions. The split-pair class requires +the additional columns in S to be a union of these complete pairs. +This is a restriction on S, not a requirement of the supplier. + +A pair contributes + + 2 diag(aa^T, bb^T) + +to R_S R_S^T. If there are p additional pairs, then D_S is block diagonal. +The negative of twice its first block is + + B = 22I_4 - sum_a n_a aa^T. + +There are twelve possible vectors a up to sign: e_i+e_j and e_i-e_j, +where 0 <= i < j < 4. Each type occurs in four of the 48 actual pairs. +Thus 0 <= n_a <= 4 and sum n_a = p. + +If |S| < 40, then p <= 11. The determinant of each block of D_S is an +integer divided by 16. A unit determinant of the full block diagonal +matrix would require det(B) to be a nonzero signed power of two. + +The finite check covers every multiplicity vector with + + 0 <= n_a <= 4, sum n_a <= 11. + +There are exactly 1,130,168 such vectors. This count is also the sum of +the coefficients of degrees 0 through 11 in (1+x+x^2+x^3+x^4)^12. +No vector gives a nonzero power of two for det(B). The enumeration drops +the restrictions from the second block, so it checks a superset of all +actual split-pair selections. It proves |S| >= 40 in this class. + +The first check uses exact integer elimination. The second check uses +the explicit four-dimensional determinant polynomial and verifies the +count with polynomial multiplication. The second check also derives R +from the frozen supplier word and checks every pair and multiplicity. + +## Sharpness + +The following 40-column set is in the split-pair class: + + [0, 1, 2, 4, 6, 7, 9, 12, 14, 17, 20, 21, 22, 25, 27, 29, + 31, 32, 36, 37, 38, 41, 46, 47, 48, 52, 57, 59, 61, 64, + 68, 76, 81, 87, 92, 97, 106, 109, 110, 111] + +It contains A and T. Its twelve additional pairs give one copy of each +signed root type in each half. Direct integer multiplication gives + + R_S R_S^T = 20I, D_S = -8I, D_S^-1 = -I/8. + +Thus 40 is the exact minimum in the split-pair class. This result does +not improve the existing five-minor construction. It shows that a +smaller support must break the complete split-pair restriction. + +There is a useful family at the boundary. Regard each of the 48 pairs +as an edge from its first root type to its second root type. The actual +graph is the disjoint union of three copies of K_(4,4). A perfect matching +in each copy selects one pair of each root type in both halves. Every +such choice gives the same Gram matrix 20I. This gives (4!)^3 = 13,824 +distinct 40-column supports with D_S = -8I. The family permits a later +choice of ports for native access or routing. No cost benefit from this +choice has been checked here. + +## Source and replay + +The source base is bce54fb3f895cbe5cd4c0eb477c3afeed100190f. The archive +and its members are checked by the published native source-code loader. +The receipt records the exact source and loader hashes. + +From the repository root, run: + +```sh +clang++ -O2 -std=c++17 work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block.cpp -o work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block +work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block > work/centre-encoding-campaign-20261014/lanes/schur-selection/FOUR-BLOCK-CANDIDATES.json +python3 -B work/centre-encoding-campaign-20261014/lanes/schur-selection/check_pair_bound.py +``` + +The final command prints `PASS_SPLIT_PAIR_BOUND` and 1,130,168 checked +vectors. It writes [PAIR-BOUND.json](PAIR-BOUND.json). The new code and +proof used OpenAI Codex assistance. The native source-code package +supplies the pinned loader. The encoded-controller lane supplied the +five-minor 40-column comparison. No full supplier, native controller, +recursive invoice, or kappa improvement is claimed here. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.json new file mode 100644 index 0000000000..b42187ad33 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.json @@ -0,0 +1,400 @@ +{ + "status": "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS", + "base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "source_reconstruction_receipt_sha256": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0", + "column_norm_squared": 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"selected_size": 32, + "additional_columns": 16, + "trace": 64, + "nonorthogonal_edge_bound": 106, + "square_trace_bound": 1104, + "largest_eigenvalue_bound": "15749/512", + "crude_determinant_lower": "78666005957483439/65536", + "determinant_upper": "2821109907456", + "strict_lower_power": 40, + "strict_upper_power": 42, + "remaining_power_exponents": [ + 41 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 33, + "additional_columns": 17, + "trace": 68, + "nonorthogonal_edge_bound": 120, + "square_trace_bound": 1232, + "largest_eigenvalue_bound": "2075/64", + "crude_determinant_lower": "115578067679217/128", + "determinant_upper": "645753531245761/256", + "strict_lower_power": 40, + "strict_upper_power": 42, + "remaining_power_exponents": [ + 41 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 34, + "additional_columns": 18, + "trace": 72, + "nonorthogonal_edge_bound": 135, + "square_trace_bound": 1368, + "largest_eigenvalue_bound": "69837/2048", + "crude_determinant_lower": "2725293442936384375/4194304", + "determinant_upper": "2251875390625", + "strict_lower_power": 40, + "strict_upper_power": 42, + "remaining_power_exponents": [ + 41 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 35, + "additional_columns": 19, + "trace": 76, + "nonorthogonal_edge_bound": 151, + "square_trace_bound": 1512, + "largest_eigenvalue_bound": "36651/1024", + "crude_determinant_lower": "230583554067863425/524288", + "determinant_upper": "513798374428641/256", + "strict_lower_power": 39, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 40 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 36, + "additional_columns": 20, + "trace": 80, + "nonorthogonal_edge_bound": 168, + "square_trace_bound": 1664, + "largest_eigenvalue_bound": "76791/2048", + "crude_determinant_lower": "1141047600861987357/4194304", + "determinant_upper": "1785793904896", + "strict_lower_power": 39, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 40 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 37, + "additional_columns": 21, + "trace": 84, + "nonorthogonal_edge_bound": 186, + "square_trace_bound": 1824, + "largest_eigenvalue_bound": "40151/1024", + "crude_determinant_lower": "76219814523894525/524288", + "determinant_upper": "406067677556641/256", + "strict_lower_power": 38, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 39, + 40 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 38, + "additional_columns": 22, + "trace": 88, + "nonorthogonal_edge_bound": 204, + "square_trace_bound": 1984, + "largest_eigenvalue_bound": "10449/256", + "crude_determinant_lower": "515294241988075/8192", + "determinant_upper": "1406408618241", + "strict_lower_power": 37, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 38, + 39, + 40 + ], + "exact_exclusion_margins": {} + }, + { + "selected_size": 39, + "additional_columns": 23, + "trace": 92, + "nonorthogonal_edge_bound": 224, + "square_trace_bound": 2160, + "largest_eigenvalue_bound": "21787/512", + "crude_determinant_lower": "839996989200369/65536", + "determinant_upper": "318644812890625/256", + "strict_lower_power": 36, + "strict_upper_power": 41, + "remaining_power_exponents": [ + 37, + 38, + 39, + 40 + ], + "exact_exclusion_margins": {} + } + ], + "excluded_selected_sizes": [ + 24, + 25, + 26, + 28, + 29, + 30, + 31 + ], + "unresolved_selected_sizes": [ + 27, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39 + ], + "not_claimed": [ + "An admissible selected set of an unresolved size", + "A supplier or kappa improvement" + ] +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md new file mode 100644 index 0000000000..487d0eacc7 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/SPECTRAL-BOUND.md @@ -0,0 +1,263 @@ +# Spectral bounds for unpaired selections + +This note excludes selected sizes 24, 25, 26, 28, 29, 30, and 31 for the +actual centre matrix and the fixed sets A and T below. The selection need +not contain complete split-sign pairs. With the earlier factor-11 bound, +every admissible selection has at least 27 ports. A selection of size 27 +must have det(-4D) = 2^42. Its existence is not proved. Sizes 32 through +39 also remain open. The result does not change the supplier or kappa. + +## Matrix and required unit + +Let R be the pinned 8 by 112 integer matrix. Set K = R^T/4. The fixed +sets are + + A = [0, 7, 20, 27, 36, 46, 57, 111] + T = [21, 37, 47, 76, 81, 87, 92, 110]. + +They are disjoint and each has Gram matrix 4I. Let S contain A and T, +let V be the additional selected columns, and write v = |S|-16. Then + + M = R_V R_V^T, + D = I - R_U K_U = -11I + M/4, + B = -4D = 44I - M. + +Here U is the complement of S. A dyadic-unit D requires det(B) to be a +nonzero power of two. This condition applies to the selected-baseline +source interface. It is not a bound on interfaces that change those +baselines. The independent cover-algebra note gives this distinction: +[SELECTED-BLOCK-NECESSITY.md](../cover-algebra/SELECTED-BLOCK-NECESSITY.md). + +The source check verifies that every column of R has squared norm 4. +For distinct columns the inner products are 0, 2, or -2. The respective +unordered pair counts are 3,304, 1,960, and 952. Thus there are no repeated +or antipodal columns. No numerical eigenvalue computation is used below. + +## Clique bound and moments + +For any selected columns, form a graph with an edge when the inner +product is nonzero. Every clique has at most eight vertices. + +To prove this, consider a clique with at least four roots. Change signs +so that the first root has inner product 2 with each other root. If two +other roots x and y have inner product -2, their sum has squared norm 4 +and inner product 4 with the first root. The first root is therefore +x+y. A fourth root cannot have inner product 2 with this sum: its two +inner products are each 2 or -2 and their sum is -4, 0, or 4. Thus every +inner product in the changed clique is 2. Its Gram matrix is 2I+2J. It +has full rank, so the clique has at most eight roots in dimension eight. + +The following weighted graph bound will be used twice. If a graph has +clique number at most w, and nonnegative weights have sum one, then + + sum_{ij an edge} x_i x_j <= (1 - 1/w)/2. + +For a proof, take two nonadjacent vertices with positive weights. Move +their combined weight to the vertex whose weighted neighbor sum is +larger. This does not decrease the edge sum and reduces the number of +positive weights. Repeat until the support is a clique. On a clique of +size k <= w the edge sum is (1-sum x_i^2)/2 <= (1-1/w)/2. + +Let E be the number of graph edges, s = tr(M), and q = tr(M^2). Equal +weights and the inner products give + + s = 4v, + E <= min(v(v-1)/2, floor(7v^2/16)), + q = 16v + 8E. + +Let L bound the largest eigenvalue of M. Three valid bounds are + + L <= 2v+2, + L <= 4+7v/4, + L <= (s + sqrt(7(8q-s^2)))/8. + +The first bound is the row-sum bound on R_V^T R_V. For the second, use +absolute values of a unit vector's coordinates in the weighted graph +bound, then use (sum |x_i|)^2 <= v. For the third, the other seven +eigenvalues have squared sum at least (s-L)^2/7. Replace q by its upper +bound when applying this formula. + +## A stronger bound for fifteen roots + +Any fifteen distinct roots in R^8 with squared norm 4 and pair products +in {0,2,-2} have at most 93 edges. This lemma does not require the fixed +sets A and T or the split-sign pairs. + +Let w be the clique number. The previous section gives w <= 8. If +w <= 6, the weighted graph bound gives + + E <= floor((1-1/6)15^2/2) = 93. + +If w = 8, change signs on an eight-root clique so that its Gram matrix +is 2I+2J. Its inverse is (I-J/9)/2. For an outside root, write its eight +inner products as 2 epsilon_i, where epsilon_i is 0, 1, or -1. Put +h = sum epsilon_i^2 and z = sum epsilon_i. Since the clique spans R^8, +the root's squared norm gives + + 9h-z^2 = 18. + +The only possible (h,z) are (2,0), (3,3), (3,-3), (6,6), and (6,-6). +Each of the seven outside roots has at most six neighbors in the clique. +Hence E <= 28+7*6+21 = 91. + +It remains to consider w = 7. Change signs on a seven-root clique C so +that its Gram matrix is 2I+2J. Its inverse is (I-J/8)/2. The orthogonal +complement of its span has dimension one. For an outside root with +inner products 2 epsilon_i, define h and z as before. Its projection and +residual squared norms are + + projection norm squared = 2h-z^2/4, + residual norm squared = (z^2-8h+16)/4. + +No outside root has h=7, since there is no eight-root clique. Call an +outside root high if h=6, and let t be the number of high roots. A high +root has z=6 or -6. Change its sign so that all six nonzero products are +2. Its projection has squared norm 3 and its residual is sigma u, where +sigma is 1 or -1 and u is a fixed unit vector normal to C. + +At most one high root can omit each clique index. Two with the same +omitted index and the same residual would be equal. Two with opposite +residuals would have product 2 and, with their six common clique +neighbors, form an eight-root clique. Thus t <= 7. + +There are 8-t low roots, each with h <= 5. Choose the overall sign of a +low root so that z >= 0. Write its residual as a u, where a can have +either sign. For a high root that omits index i, the inner product is + + z/2 - 2 epsilon_i + sigma a. + +The allowed values are 0, 2, and -2. The complete residual cases give +the following upper bounds for the number d_H of high neighbors: + +| h | z | a^2 | Bound on d_H | +|---|---|-----|--------------| +| 0 | 0 | 4 | t | +| 1 | 1 | 9/4 | min(t,6) | +| 2 | 0 | 0 | min(t,2) | +| 2 | 2 | 1 | t | +| 3 | 3 | 1/4 | min(t,4) | +| 4 | 4 | 0 | min(t,3) | +| 5 | 5 | 1/4 | min(t,2) | + +In every case, h+d_H <= max(7,t+2). The case h=2,z=2 is needed; it +does not permit the constant bound 7 when t is 6 or 7. The checker +enumerates all epsilon in {0,1,-1}^7 and both residual signs to verify +this table's combined inequality. It allows independent choices of the +high residual signs, so the check uses a superset of the actual cases. + +For t=0 or 1, the direct edge bound is + + E <= 21 + 6t + 5(8-t) + 28 = 89+t. + +For 2 <= t <= 7, count the clique edges, clique-to-high edges, +high-to-high edges, all edges from a low root to C or the high roots, +and low-to-low edges. This gives + + E <= 21 + 6t + binom(t,2) + + (8-t) max(7,t+2) + binom(8-t,2). + +The six values are 91, 87, 85, 85, 89, and 93. This proves E <= 93. +For v >= 15, count edges in all fifteen-root subsets to obtain + + E <= floor(93 v(v-1)/(15*14)) = floor(31v(v-1)/70). + +## Exact determinant bounds + +Use the smallest of the three eigenvalue bounds. The checker rounds +the square root upward to a rational number with denominator 256. +For every v from 8 through 23 it certifies 0 < L < 44. Thus B is +positive definite and det(B) is a positive integer. + +Since tr(B) = 8*44-s, the arithmetic-geometric mean inequality gives + + det(B) <= (44-v/2)^8. + +There are two lower bounds. For the first, put a=floor(s/L) and b=s-aL. +The logarithm of the determinant is concave in the eight eigenvalues +of M. Under their sum and interval constraints, a minimum has a values +equal to L, one equal to b, and the others equal to zero. Thus + + det(B) >= (44-L)^a (44-b) 44^(7-a). + +The second bound retains the second moment. For 0 <= x <= L/44, +the power series for -log(1-x)-x gives + + -log(1-x)-x + <= (44x/L)^2 [log(44/(44-L))-L/44]. + +Sum over the eight eigenvalues divided by 44. If q_0 bounds q, then + + log det(B) >= 8 log 44 - s/44 + - (q_0/L^2) [log(44/(44-L))-L/44]. + +All logarithm comparisons use rational intervals. For 1 <= x <= 2, +set z=(x-1)/(x+1) and use the first 32 terms of + + log x = 2 sum_{k>=0} z^(2k+1)/(2k+1). + +The omitted tail is nonnegative and at most + + 2 z^65 / (65(1-z^2)). + +Other positive arguments are reduced to this interval by powers of +two and, when needed, reciprocals. The checker uses the upper endpoint +for each subtracted logarithm and for the power-of-two comparison. The +resulting lower endpoint is therefore conservative. The receipt stores +each exact rational margin used to exclude a size. + +The resulting strict intervals are: + +| Selected size | Strict determinant interval | +|---------------|-----------------------------| +| 24, 25, 26 | 2^42 < det(B) < 2^43 | +| 28, 29, 30, 31 | 2^41 < det(B) < 2^42 | + +For size 31, the fifteen-root lemma gives q_0=984 and the rational +eigenvalue bound L=29815/1024. Its exact logarithmic lower endpoint is +strictly greater than 41 log 2. This narrow comparison is certified by +rational arithmetic, not a decimal approximation. + +For unresolved sizes, the remaining exponents e in det(B)=2^e are: + +| Selected size | Remaining exponents | +|---------------|---------------------| +| 27 | 42 | +| 32, 33, 34 | 41 | +| 35, 36 | 40 | +| 37 | 39, 40 | +| 38 | 38, 39, 40 | +| 39 | 37, 38, 39, 40 | + +An exponent in this table is a necessary condition only. It is not an +existence claim. The split-pair bound still excludes every size below +40 in its narrower class. Neither bound excludes interfaces that change +the selected source baselines. + +## Source, replay, and scope + +The source base is bce54fb3f895cbe5cd4c0eb477c3afeed100190f. The source +reconstruction receipt [PAIR-BOUND.json](PAIR-BOUND.json) has SHA256 +77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0. +The checker verifies that receipt and the actual matrix hash. The +earlier checker rebuilt the matrix from the pinned supplier archive; +this check does not repeat its million-vector split-pair enumeration. + +From the repository root, run: + +```sh +python3 -B work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py +``` + +The command prints `PASS_UNPAIRED_SPECTRAL_EXCLUSIONS` and the excluded +sizes `[24, 25, 26, 28, 29, 30, 31]`. It writes +[SPECTRAL-BOUND.json](SPECTRAL-BOUND.json). The code uses only Python's +standard library, exact integers, and fractions. It does not use a +solver, random search, floating-point arithmetic, or a determinant +enumeration. + +The coordinating agent supplied the first spectral interval lead. +The prior split-pair lane supplied the actual root data and fixed sets. +OpenAI Codex assisted with the proof and code. Independent review must +bind the final proof, checker, and receipt bytes before this result is +used as a reviewed theorem. No native controller, full recursive cost, +or complete kappa calculation was changed here. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py new file mode 100644 index 0000000000..2c3a85e79e --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py @@ -0,0 +1,196 @@ +"""Check exact spectral exclusions for unpaired selected port sets.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from itertools import product +from math import isqrt +from pathlib import Path +import json + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / "circuit-interface" / "INTERFACE.json" +PAIR_RECEIPT_PIN = "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0" +A = [0, 7, 20, 27, 36, 46, 57, 111] +T = [21, 37, 47, 76, 81, 87, 92, 110] + + +def log_series(x, terms=32): + """Return rational bounds for log(x), with 1 <= x <= 2.""" + assert 1 <= x <= 2 + z = (x-1)/(x+1) + power = z + total = Q(0) + for k in range(terms): + total += 2*power/(2*k+1) + power *= z*z + error = 2*power/((2*terms+1)*(1-z*z)) + return total, total+error + + +def log_interval(x): + assert x > 0 + if x < 1: + lo, hi = log_interval(1/x) + return -hi, -lo + power = 0 + while x >= 2: + x /= 2 + power += 1 + lo, hi = log_series(x) + two_lo, two_hi = log_series(Q(2)) + return lo+power*two_lo, hi+power*two_hi + + +def ceil_sqrt(x, denominator=256): + numerator = isqrt(x*denominator*denominator) + if numerator*numerator < x*denominator*denominator: + numerator += 1 + result = Q(numerator, denominator) + assert result*result >= x + assert result == 0 or (result-Q(1,denominator))**2 < x + return result + + +def check_fifteen_root_bound(): + """Check the finite cases in the fifteen-root edge proof.""" + eight_clique_cases = [] + for h in range(9): + for total in range(-h, h+1, 2): + if 9*h-total*total == 18: + eight_clique_cases.append([h, total]) + assert eight_clique_cases == [[2, 0], [3, -3], [3, 3], [6, -6], [6, 6]] + + high_cases = [(total, Q(total*total-32, 4)) for total in range(-6,7,2) + if total*total >= 32] + assert high_cases == [(-6, Q(1)), (6, Q(1))] + low_cases = set() + patterns = 0 + for epsilon in product([-1,0,1], repeat=7): + h = sum(x != 0 for x in epsilon) + if h > 5: + continue + total = sum(epsilon) + residual_four = total*total-8*h+16 + if residual_four < 0: + continue + root = isqrt(residual_four) + assert root*root == residual_four + residual = Q(root, 2) + low_cases.add((h, abs(total), str(residual*residual))) + legal = 0 + nonorthogonal = 0 + for value in epsilon: + inner_products = {Q(total,2)-2*value+sign*residual for sign in [-1,1]} + legal += bool(inner_products & {-2,0,2}) + nonorthogonal += bool(inner_products & {-2,2}) + for t in range(min(7,legal)+1): + assert h+min(t,nonorthogonal) <= max(7,t+2) + patterns += 1 + assert sorted(low_cases) == [(0,0,"4"), (1,1,"9/4"), (2,0,"0"), + (2,2,"1"), (3,3,"1/4"), (4,4,"0"), (5,5,"1/4")] + seven_clique_bounds = [] + for t in range(8): + low = 8-t + if t <= 1: + bound = 21+6*t+5*low+28 + else: + bound = 21+6*t+t*(t-1)//2+low*max(7,t+2)+low*(low-1)//2 + seven_clique_bounds.append(bound) + assert seven_clique_bounds == [89,90,91,87,85,85,89,93] + return { + "edge_bound": 93, + "clique_at_most_six_bound": 93, + "clique_eight_projection_cases_h_s": eight_clique_cases, + "clique_eight_edge_bound": 91, + "clique_seven_high_residual_cases_s_a_squared": [[s,str(a)] for s,a in high_cases], + "clique_seven_low_residual_cases_h_abs_s_a_squared": sorted(low_cases), + "clique_seven_checked_low_patterns": patterns, + "clique_seven_bounds_for_t_zero_through_seven": seven_clique_bounds, + } + + +def main(): + pair_bytes = (HERE / "PAIR-BOUND.json").read_bytes() + assert sha256(pair_bytes).hexdigest() == PAIR_RECEIPT_PIN + pair = json.loads(pair_bytes) + assert sha256(SOURCE.read_bytes()).hexdigest() == pair["interface_sha256"] + data = json.loads(SOURCE.read_text()) + R = [[int(row.get(str(j), 0)) for j in range(112)] for row in data["R"]] + columns = list(zip(*R)) + dot = lambda a,b: sum(x*y for x,y in zip(a,b)) + assert all(dot(v,v) == 4 for v in columns) + products = Counter(dot(columns[i],columns[j]) for i in range(112) for j in range(i)) + assert products == {0:3304, 2:1960, -2:952} + for selected in [A,T]: + assert [[sum(R[i][j]*R[k][j] for j in selected) for k in range(8)] + for i in range(8)] == [[4*(i == k) for k in range(8)] for i in range(8)] + assert not set(A) & set(T) + fifteen_root_bound = check_fifteen_root_bound() + log44_lo, log44_hi = log_interval(Q(44)) + log2_lo, log2_hi = log_interval(Q(2)) + rows = [] + for v in range(8,24): + trace = 4*v + edges = min(v*(v-1)//2, 7*v*v//16) + if v >= 15: + edges = min(edges, 31*v*(v-1)//70) + square_trace = 16*v+8*edges + discriminant = 7*(8*square_trace-trace*trace) + rank_cap = (trace+ceil_sqrt(discriminant))/8 + cap = min(Q(2*v+2), Q(4)+Q(7*v,4), rank_cap) + assert 0 < cap < 44 + quotient = trace//cap + remainder = trace-quotient*cap + crude = (44-cap)**quotient * (44-remainder) * 44**(7-quotient) + assert quotient < 8 and 0 <= remainder < cap + log_ratio_lo, log_ratio_hi = log_interval(44/(44-cap)) + logarithmic_lower = (8*log44_lo-Q(trace,44) + - Q(square_trace)/(cap*cap)*(log_ratio_hi-cap/44)) + lower_power = max(k for k in range(60) if logarithmic_lower > k*log2_hi + or crude > 2**k) + upper = (Q(44)-Q(v,2))**8 + upper_power = min(k for k in range(60) if upper < 2**k) + possible = list(range(lower_power+1, upper_power)) + margins = {} + if not possible: + margins = { + "log_lower_minus_previous_power": str(logarithmic_lower-lower_power*log2_hi), + "crude_lower_minus_previous_power": str(crude-2**lower_power), + "next_power_minus_upper": str(2**upper_power-upper), + } + rows.append({ + "selected_size": v+16, "additional_columns": v, + "trace": trace, "nonorthogonal_edge_bound": edges, + "square_trace_bound": square_trace, + "largest_eigenvalue_bound": str(cap), + "crude_determinant_lower": str(crude), + "determinant_upper": str(upper), + "strict_lower_power": lower_power, + "strict_upper_power": upper_power, + "remaining_power_exponents": possible, + "exact_exclusion_margins": margins, + }) + result = { + "status": "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS", + "base": pair["base"], + "interface_sha256": pair["interface_sha256"], + "source_reconstruction_receipt_sha256": PAIR_RECEIPT_PIN, + "column_norm_squared": 4, + "pair_inner_products": dict(sorted(products.items())), + "logarithm_series_terms": 32, + "fifteen_root_edge_proof": fifteen_root_bound, + "rows": rows, + "excluded_selected_sizes": [r["selected_size"] for r in rows if not r["remaining_power_exponents"]], + "unresolved_selected_sizes": [r["selected_size"] for r in rows if r["remaining_power_exponents"]], + "not_claimed": ["An admissible selected set of an unresolved size", "A supplier or kappa improvement"], + } + (HERE / "SPECTRAL-BOUND.json").write_text(json.dumps(result, indent=2)+"\n") + print(json.dumps({"status": result["status"], + "excluded_selected_sizes": result["excluded_selected_sizes"], + "remaining": {r["selected_size"]:r["remaining_power_exponents"] for r in rows if r["remaining_power_exponents"]}}), flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.json new file mode 100644 index 0000000000..dc9b92970d --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.json @@ -0,0 +1,315 @@ +{ + "status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND", + "reviewed_pins": { + "SPECTRAL-BOUND.md": "6dd2afed08d8873a2277ccfef4edd1bc212e831b8495bb659809f76d77802af1", + "check_spectral_bound.py": "ecc031e20c309c4e1d04443b60a58fe03d32ce73a5a3b43078e9cb673341c61c", + "SPECTRAL-BOUND.json": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "PAIR-BOUND.json": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0" + }, + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "source_reconstruction": { + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "members": { + "slots/local/CANONICAL-WORD.json.gz": [ + "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" + ], + "slots/local/LOCAL-PROGRAMS.json.gz": [ + "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3" + ] + }, + "reverse_output_forms": 8, + "source_columns": 112, + "source_cut": 12550, + "pair_products": { + "-2": 952, + "0": 3304, + "2": 1960 + }, + "full_gram": "56 I8", + "fixed_minor_grams": "4 I8" + }, + "graph_cases": { + "epsilon_patterns": 281, + "degree_checks": 2248, + "low_table": [ + [ + 0, + 0, + "4", + 7, + 1 + ], + [ + 1, + 1, + "9/4", + 6, + 14 + ], + [ + 2, + 0, + "0", + 2, + 42 + ], + [ + 2, + 2, + "1", + 7, + 42 + ], + [ + 3, + 3, + "1/4", + 4, + 70 + ], + [ + 4, + 4, + "0", + 3, + 70 + ], + [ + 5, + 5, + "1/4", + 2, + 42 + ] + ], + "seven_clique_bounds": [ + 89, + 90, + 91, + 87, + 85, + 85, + 89, + 93 + ], + "eight_clique_bound": 91, + "fifteen_root_edge_bound": 93 + }, + "logarithm_terms": 64, + "rows": [ + { + "selected_size": 24, + "edge_bound": 28, + "largest_eigenvalue_bound": "18", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "306949273/1000000000" + }, + { + "selected_size": 25, + "edge_bound": 35, + "largest_eigenvalue_bound": "40225/2048", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "36778207/200000000" + }, + { + "selected_size": 26, + "edge_bound": 43, + "largest_eigenvalue_bound": "21821/1024", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "1368811/25000000" + }, + { + "selected_size": 27, + "edge_bound": 52, + "largest_eigenvalue_bound": "23", + "strict_powers": [ + 41, + 43 + ], + "remaining_exponents": [ + 42 + ], + "log_margin_lower_bound": "611706799/1000000000" + }, + { + "selected_size": 28, + "edge_bound": 63, + "largest_eigenvalue_bound": "6373/256", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "231055733/500000000" + }, + { + "selected_size": 29, + "edge_bound": 73, + "largest_eigenvalue_bound": "54131/2048", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "156442089/500000000" + }, + { + "selected_size": 30, + "edge_bound": 85, + "largest_eigenvalue_bound": "14421/512", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "146583479/1000000000" + }, + { + "selected_size": 31, + "edge_bound": 93, + "largest_eigenvalue_bound": "29815/1024", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "202541/250000000" + }, + { + "selected_size": 32, + "edge_bound": 106, + "largest_eigenvalue_bound": "15749/512", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + "log_margin_lower_bound": "253762069/500000000" + }, + { + "selected_size": 33, + "edge_bound": 120, + "largest_eigenvalue_bound": "2075/64", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + "log_margin_lower_bound": "150530309/500000000" + }, + { + "selected_size": 34, + "edge_bound": 135, + "largest_eigenvalue_bound": "69837/2048", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + "log_margin_lower_bound": "34072957/500000000" + }, + { + "selected_size": 35, + "edge_bound": 151, + "largest_eigenvalue_bound": "36651/1024", + "strict_powers": [ + 39, + 41 + ], + "remaining_exponents": [ + 40 + ], + "log_margin_lower_bound": "491836161/1000000000" + }, + { + "selected_size": 36, + "edge_bound": 168, + "largest_eigenvalue_bound": "76791/2048", + "strict_powers": [ + 39, + 41 + ], + "remaining_exponents": [ + 40 + ], + "log_margin_lower_bound": "168560881/1000000000" + }, + { + "selected_size": 37, + "edge_bound": 186, + "largest_eigenvalue_bound": "40151/1024", + "strict_powers": [ + 38, + 41 + ], + "remaining_exponents": [ + 39, + 40 + ], + "log_margin_lower_bound": "225526013/500000000" + }, + { + "selected_size": 38, + "edge_bound": 204, + "largest_eigenvalue_bound": "10449/256", + "strict_powers": [ + 37, + 41 + ], + "remaining_exponents": [ + 38, + 39, + 40 + ], + "log_margin_lower_bound": "604302697/1000000000" + }, + { + "selected_size": 39, + "edge_bound": 224, + "largest_eigenvalue_bound": "21787/512", + "strict_powers": [ + 36, + 41 + ], + "remaining_exponents": [ + 37, + 38, + 39, + 40 + ], + "log_margin_lower_bound": "61966799/200000000" + } + ], + "critical_v15_log_margin_strictly_above": "1/1250", + "general_selected_lower_bound": 27, + "scope": "S contains the fixed A and T, and the selected baselines are retained.", + "not_repeated": [ + "The million-vector split-pair enumeration" + ], + "not_claimed": [ + "Existence at size 27", + "A general centre-information lower bound", + "A native controller", + "A supplier or kappa improvement" + ] +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md new file mode 100644 index 0000000000..78c1cfdce4 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/SPECTRAL-BOUND-REVIEW.md @@ -0,0 +1,163 @@ +# Independent review of the unpaired spectral bound + +The frozen proof passes. For a selected set S that contains the specified +disjoint sets A and T and keeps the stated source baselines, the dyadic +unit condition excludes sizes 24, 25, 26, 28, 29, 30, and 31. Together +with the factor-11 argument for smaller sets, this gives |S| >= 27. +Size 27 is open. Its determinant must equal 2^42 in the normalization +used below. This review does not prove that such a set exists. + +This is a bound for the stated source interface. It is not a general +bound on centre information, native cost, or the supplier. The existing +split-pair result has a narrower selection class. Its exhaustive search +was not repeated here. + +## Source binding and separate replay + +The review reads the archive from the Git object at +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. It checks archive SHA256 +`22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754`. +It checks both compressed and decoded hashes of the canonical word and +local scalar programs. It does not import the producer or its loader. + +The review propagates the eight centre output forms backward through +the 12,550-event source prefix. Their coefficients on all 112 source +inputs reproduce the pinned R. This is a different propagation path +from the producer's full forward matrix replay. The review then checks +RR^T = 56I, both fixed minor Grams 4I, and their disjointness. It checks +all 6,216 unordered root pairs. Their products are 0 in 3,304 cases, +2 in 1,960 cases, and -2 in 952 cases. Every root has squared norm 4. + +Write V for the extra selected columns, v = |S|-16, and M = VV^T. +Then D = I-R_U K_U = -11I+M/4 and B = -4D = 44I-M. In the range +checked here, B is positive definite. A dyadic-unit D therefore needs +det(B) to be a positive power of two. For v < 8, the determinant lemma +gives a factor 11^(8-v) in det(D), with a dyadic second factor. That +factor cannot cancel 11. This proves the earlier exclusion below 24. + +The selected-baseline condition was also checked against +`../cover-algebra/SELECTED-BLOCK-NECESSITY.md`, SHA256 +`2f9bf455a73dfbd176d1a634df9f2a662178e72ad8dfec4cdf1f7a4ee712198d`. +If F has the specified selected rows and (JF)_U is the ordinary U +selector, put C=FE^-1. Then C has lower selected block [0,I]. Its U +block is a unit and J_UU C_UU=I. Thus J_UU is a unit. The ordered block +identity makes this equivalent to a unit D. This condition does not +apply when the selected baselines or the target interface may change. + +## The fifteen-root lemma + +The graph argument is valid for any fifteen distinct real roots in +dimension eight with these norms and pair products. It does not need +the particular list of 112 columns. + +An unbalanced signed triangle can be switched so that x has product 2 +with y and z, while y has product -2 with z. The norm identity gives +x=y+z. A fourth common neighbor cannot exist: its product with x would +be a sum of two values in {2,-2}, and that sum cannot be 2 or -2. +Thus every clique of size at least four can be switched to the positive +Gram matrix 2I+2J. This matrix has full rank, so the clique size is at +most eight. + +The weighted graph bound in the proof is valid. Moving all weight from +one of two nonadjacent support vertices to the other does not decrease +the objective when the larger neighbor sum is chosen. The support +decreases at each step. The final support is a clique. Cauchy's +inequality on that clique gives the stated weighted bound. + +For clique number at most six, the resulting integer edge bound is 93. +For clique number eight, the inverse Gram matrix is (I-J/9)/2. The +outside-root equation 9h-s^2=18 has exactly the five listed solutions. +Its maximum h is six, so the total edge count is at most 91. + +For clique number seven, the inverse Gram matrix is (I-J/8)/2. The +projection and residual formulas follow by direct multiplication. A +root of clique degree six has six products of the same sign and a +residual of length one. After sign choice, its projection is +(sum C)/4-C_i, where i is its omitted clique index. Two high roots +with the same i either coincide or, with six clique roots, give an +eight-clique. Thus the high roots have distinct omitted indices. + +For each remaining root, the review checks all 2,187 possible product +patterns epsilon in {-1,0,1}^7. Exactly 281 have h <= 5 and nonnegative +residual square. The seven possible (h,|s|,a^2) classes and maximum +numbers of possible high neighbors are: + +| h | abs(s) | a^2 | Possible omitted indices for an edge | +|---|-----|-----|--------------------------------------| +| 0 | 0 | 4 | 7 | +| 1 | 1 | 9/4 | 6 | +| 2 | 0 | 0 | 2 | +| 2 | 2 | 1 | 7 | +| 3 | 3 | 1/4 | 4 | +| 4 | 4 | 0 | 3 | +| 5 | 5 | 1/4 | 2 | + +For each omitted index, both residual signs are checked through the +integer expression 2 = s-4 epsilon_i +/- 2a. The allowed values +are -4, 0, and 4. The check permits a separate high-root sign choice +at every index. It therefore covers a superset of the actual compatible +configurations. All 2,248 resulting degree checks satisfy +h+d_H <= max(7,t+2). + +The h=2, |s|=2 class prevents replacement of this bound by a constant +seven. The proof uses the correct t+2 term. For t from zero through +seven, the total edge bounds are 89, 90, 91, 87, 85, 85, 89, and 93. +All clique cases are covered. Averaging over fifteen-element subsets +gives E <= floor(31v(v-1)/70) for every v >= 15. + +## Exact determinant intervals + +The three eigenvalue caps are valid. The first comes from the absolute +row sums of V^T V. The second follows from the weighted graph bound +and the absolute coordinates of a unit vector. For the third, Cauchy's +inequality on the other seven eigenvalues gives +8 lambda^2-2s lambda+s^2-7q <= 0. The stated positive root is its +upper endpoint. Replacing q by a larger bound increases this endpoint. + +The review checks the upward square-root rounding and the selected +rational cap L for every v from 8 through 23. Each cap is below 44. +The extreme-point determinant lower bound follows from concavity on +the eigenvalue box with fixed sum. The second-moment bound is also +valid: the positive-coefficient series +[-log(1-x)-x]/x^2 is increasing for 0 <= x < 1. Its value at L/44 +therefore bounds each summand. The subtracted factor is positive, so +an upper bound on q gives a valid lower determinant bound. + +The independent interval routine uses direct rational powers and 64 +terms, rather than the producer's 32-term recurrence. It also reproduces +every saved 32-term rational margin exactly. All 16 size rows, all +moment bounds, and every remaining exponent agree with the receipt. + +For size 31, q <= 984 and L=29815/1024. The 64-term calculation proves + + lower_bound(log det B) - 41 log 2 > 1/1250 > 0. + +This is an exact rational comparison. The upper bound is below 2^42. +Thus size 31 is excluded without a floating-point estimate. The full +excluded intervals are 2^42 < det(B) < 2^43 at sizes 24 through 26, +and 2^41 < det(B) < 2^42 at sizes 28 through 31. + +## Replay and pins + +Run from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py +``` + +The command was run and printed +`PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND`. It uses explicit checks that +remain active under `-O`. It writes `SPECTRAL-BOUND-REVIEW.json`. + +| File | SHA256 | +|------|--------| +| Producer proof | 6dd2afed08d8873a2277ccfef4edd1bc212e831b8495bb659809f76d77802af1 | +| Producer checker | ecc031e20c309c4e1d04443b60a58fe03d32ce73a5a3b43078e9cb673341c61c | +| Producer receipt | d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84 | +| Independent checker | 83de0b4694a8ef1ee501130bca9ddedf6e265f6be44b855e61e327646a7529d9 | +| Independent receipt | 9639db0bdbc82255ef85273ac15a0aff68d5c659190557bf331d260eb714964f | + +No producer file was changed. No native word, ownership schedule, +recursive invoice, or complete kappa calculation was checked by this +review. OpenAI Codex assisted with this independent proof review and +verification code. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py new file mode 100644 index 0000000000..09f40f654c --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py @@ -0,0 +1,281 @@ +"""Review the unpaired spectral bound without producer imports.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from io import BytesIO +from itertools import product +from math import comb, isqrt +from pathlib import Path +import gzip +import json +import subprocess +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[3] +LANES = HERE.parent +PRODUCER = LANES / "schur-selection" +BASE = "bce54fb3f895cbe5cd4c0eb477c3afeed100190f" +ARCHIVE = "research/community-frontier1042-audit/selected-replay.tar.gz" +ARCHIVE_PIN = "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754" +PINS = { + "SPECTRAL-BOUND.md": "6dd2afed08d8873a2277ccfef4edd1bc212e831b8495bb659809f76d77802af1", + "check_spectral_bound.py": "ecc031e20c309c4e1d04443b60a58fe03d32ce73a5a3b43078e9cb673341c61c", + "SPECTRAL-BOUND.json": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "PAIR-BOUND.json": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0", +} +INTERFACE_PIN = "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3" +MEMBERS = { + "slots/local/CANONICAL-WORD.json.gz": ( + "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c"), + "slots/local/LOCAL-PROGRAMS.json.gz": ( + "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3"), +} +A = [0, 7, 20, 27, 36, 46, 57, 111] +T = [21, 37, 47, 76, 81, 87, 92, 110] + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def pinned(path, expected): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == expected, "Changed input: " + str(path)) + return raw + + +def source_matrix(): + raw = subprocess.check_output(["git", "show", BASE + ":" + ARCHIVE], + cwd=ROOT / "worktrees/k5-centre-sharing") + need(sha256(raw).hexdigest() == ARCHIVE_PIN, "Archive pin differs") + inputs = {} + with tarfile.open(fileobj=BytesIO(raw), mode="r:gz") as archive: + for name, (compressed_pin, payload_pin) in MEMBERS.items(): + matches = [x for x in archive.getmembers() if x.name == name] + need(len(matches) == 1 and matches[0].isfile(), "Invalid archive member") + compressed = archive.extractfile(matches[0]).read() + need(sha256(compressed).hexdigest() == compressed_pin, "Member pin differs") + payload = gzip.decompress(compressed) + need(sha256(payload).hexdigest() == payload_pin, "Payload pin differs") + inputs[name.rsplit("/", 1)[-1]] = json.loads(payload) + word = inputs["CANONICAL-WORD.json.gz"] + events = inputs["LOCAL-PROGRAMS.json.gz"]["forward"] + cut = events.index(["phase", "centers"]) + gradient = [{} for _ in range(712)] + for k, center in enumerate(word["centers"]): + gradient[center][k] = Q(1) + + def register(token): + need(token[0] in ("L", "C"), "Unknown field namespace") + value = token[1] + 704 * (token[0] == "C") + need(0 <= value < 712, "Invalid field") + return value + + for event in reversed(events[:cut]): + if event[0] != "scalar": + continue + op = event[1] + target = register(op[1]) + if op[0] == "clear": + gradient[target] = {} + elif op[0] == "scale": + scale = Q(op[2], op[3]) + gradient[target] = {k: x * scale for k, x in gradient[target].items()} + else: + need(op[0] in ("add", "copy"), "Unknown scalar operation") + source = register(op[2]) + need(source != target, "Unexpected aliased scalar operation") + scale = Q(1) if op[0] == "copy" else Q(op[3], op[4]) + for k, x in gradient[target].items(): + gradient[source][k] = gradient[source].get(k, 0) + scale*x + if op[0] == "copy": + gradient[target] = {} + R = [[gradient[p].get(k, Q(0)) for p in range(112)] for k in range(8)] + interface = json.loads(pinned(LANES / "circuit-interface/INTERFACE.json", INTERFACE_PIN)) + need(R == [[Q(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]], + "Reverse source reconstruction differs from R") + need(all(x.denominator == 1 for row in R for x in row), "R is not integral") + R = [[int(x) for x in row] for row in R] + gram = lambda ports: [[sum(R[i][p]*R[j][p] for p in ports) + for j in range(8)] for i in range(8)] + need(gram(range(112)) == [[56*(i == j) for j in range(8)] for i in range(8)], + "Full source Gram differs") + need(not set(A) & set(T), "Fixed minors overlap") + for ports in (A, T): + need(gram(ports) == [[4*(i == j) for j in range(8)] for i in range(8)], + "A fixed minor differs") + columns = list(zip(*R)) + need(all(sum(x*x for x in col) == 4 for col in columns), "A root norm differs") + dots = Counter(sum(x*y for x, y in zip(columns[i], columns[j])) + for i in range(112) for j in range(i)) + need(dots == {0: 3304, 2: 1960, -2: 952}, "Root products differ") + return {"archive_sha256": ARCHIVE_PIN, "members": MEMBERS, + "reverse_output_forms": 8, "source_columns": 112, "source_cut": cut, + "pair_products": dict(sorted(dots.items())), "full_gram": "56 I8", + "fixed_minor_grams": "4 I8"} + + +def graph_cases(producer): + for n in (7, 8): + G = [[Q(2*(i == j)+2) for j in range(n)] for i in range(n)] + H = [[(Q(i == j)-Q(1, n+1))/2 for j in range(n)] for i in range(n)] + need(all(sum(G[i][k]*H[k][j] for k in range(n)) == (i == j) + for i in range(n) for j in range(n)), "Clique inverse differs") + clique8 = [[h, s] for h in range(9) for s in range(-h, h+1, 2) + if 9*h-s*s == 18] + need(clique8 == producer["clique_eight_projection_cases_h_s"], "Eight-clique cases differ") + need(28+7*max(x[0] for x in clique8)+21 == 91, "Eight-clique edge bound differs") + high = [[s, str(Q(s*s-32, 4))] for s in range(-6, 7, 2) if s*s >= 32] + need(high == [[-6, "1"], [6, "1"]], "High-root cases differ") + expected = {(0, 0, "4"): 7, (1, 1, "9/4"): 6, (2, 0, "0"): 2, + (2, 2, "1"): 7, (3, 3, "1/4"): 4, + (4, 4, "0"): 3, (5, 5, "1/4"): 2} + cases = Counter() + comparisons = 0 + for epsilon in product((-1, 0, 1), repeat=7): + h, s = sum(x != 0 for x in epsilon), sum(epsilon) + residual4 = s*s-8*h+16 + if h > 5 or residual4 < 0: + continue + a2 = isqrt(residual4) + need(a2*a2 == residual4, "A low-root residual needs another case") + key = (h, abs(s), str(Q(residual4, 4))) + need(key in expected, "Unlisted low-root case") + allowed = [] + for index in range(7): + dots2 = {s-4*epsilon[index]+sign*a2 for sign in (-1, 1)} + allowed.append(dots2 & {-4, 0, 4}) + possible_edges = sum(bool(values & {-4, 4}) for values in allowed) + need(possible_edges == expected[key], "The low-root table differs") + for t in range(8): + if t <= sum(bool(values) for values in allowed): + need(h+min(t, possible_edges) <= max(7, t+2), "Combined degree bound fails") + comparisons += 1 + cases[key] += 1 + need(sum(cases.values()) == 281 and set(cases) == set(expected), "Low cases are incomplete") + bounds = [21+6*t+5*(8-t)+28 if t < 2 else + 21+6*t+comb(t, 2)+(8-t)*max(7, t+2)+comb(8-t, 2) + for t in range(8)] + need(bounds == [89, 90, 91, 87, 85, 85, 89, 93], "Seven-clique total differs") + need(bounds == producer["clique_seven_bounds_for_t_zero_through_seven"], "Receipt cases differ") + need((Q(1)-Q(1, 6))*225/2 < 94, "Small-clique bound fails") + return {"epsilon_patterns": sum(cases.values()), "degree_checks": comparisons, + "low_table": [[*key, expected[key], cases[key]] for key in sorted(cases)], + "seven_clique_bounds": bounds, "eight_clique_bound": 91, + "fifteen_root_edge_bound": 93} + + +def log_bounds(argument, terms=64): + """Use direct rational powers and an explicit positive tail bound.""" + x = Q(argument) + need(x > 0, "Nonpositive logarithm") + if x < 1: + lo, hi = log_bounds(1/x, terms) + return -hi, -lo + exponent = 0 + while x > 2: + x /= 2 + exponent += 1 + z = (x-1)/(x+1) + lower = sum((2*z**j/Q(j) for j in range(1, 2*terms, 2)), Q(0)) + upper = lower + 2*z**(2*terms+1)/((2*terms+1)*(1-z*z)) + if exponent: + lo2, hi2 = log_bounds(Q(2), terms) + lower, upper = lower+exponent*lo2, upper+exponent*hi2 + return lower, upper + + +def rational_floor(x, scale=10**9): + return str(Q((x*scale).numerator//(x*scale).denominator, scale)) + + +def spectral_cases(receipt): + lo44, _ = log_bounds(44) + lo2, hi2 = log_bounds(2) + log44_32, _ = log_bounds(44, 32) + _, log2_32 = log_bounds(2, 32) + rows = [] + for row in receipt["rows"]: + v = row["additional_columns"] + trace = 4*v + edge = min(comb(v, 2), 7*v*v//16) + if v >= 15: + edge = min(edge, 93*comb(v, 2)//comb(15, 2)) + moment = 16*v+8*edge + discr = 7*(8*moment-trace*trace) + root_upper = isqrt(discr*256**2) + root_upper += (root_upper**2 != discr*256**2) + cap = min(Q(2*v+2), Q(4)+Q(7*v, 4), (trace+Q(root_upper, 256))/8) + need(0 < cap < 44 and Q(row["largest_eigenvalue_bound"]) == cap, "Eigenvalue cap differs") + need((row["trace"], row["nonorthogonal_edge_bound"], row["square_trace_bound"]) + == (trace, edge, moment), "Moment ledger differs") + count = int(trace//cap) + leftover = trace-count*cap + need(0 <= count < 8 and 0 <= leftover < cap, "Invalid extreme spectrum") + crude = (44-cap)**count*(44-leftover)*44**(7-count) + upper = (44-Q(v, 2))**8 + ratio = Q(44)/(44-cap) + _, log_ratio_hi = log_bounds(ratio) + lower = 8*lo44-Q(trace, 44)-Q(moment)/cap**2*(log_ratio_hi-cap/44) + lower_power = max(k for k in range(60) if crude > 2**k or lower > k*hi2) + upper_power = min(k for k in range(60) if upper < 2**k) + remaining = list(range(lower_power+1, upper_power)) + need(Q(row["crude_determinant_lower"]) == crude and Q(row["determinant_upper"]) == upper, + "Determinant bounds differ") + need((lower_power, upper_power, remaining) == + (row["strict_lower_power"], row["strict_upper_power"], row["remaining_power_exponents"]), + "Power-of-two interval differs") + if not remaining: + _, lr32 = log_bounds(ratio, 32) + l32 = 8*log44_32-Q(trace, 44)-Q(moment)/cap**2*(lr32-cap/44) + margins = row["exact_exclusion_margins"] + need(Q(margins["log_lower_minus_previous_power"]) == l32-lower_power*log2_32, + "Saved logarithm margin differs") + need(Q(margins["crude_lower_minus_previous_power"]) == crude-2**lower_power, + "Saved crude margin differs") + need(Q(margins["next_power_minus_upper"]) == 2**upper_power-upper, + "Saved upper margin differs") + margin = lower-lower_power*hi2 + if v == 15: + need(moment == 984 and cap == Q(29815, 1024), "Critical v15 data differ") + need(margin > Q(1, 1250), "The exact v15 gap is not above 1/1250") + rows.append({"selected_size": v+16, "edge_bound": edge, + "largest_eigenvalue_bound": str(cap), + "strict_powers": [lower_power, upper_power], + "remaining_exponents": remaining, + "log_margin_lower_bound": rational_floor(margin)}) + need([r["selected_size"] for r in rows] == list(range(24, 40)), "Size range is incomplete") + excluded = [r["selected_size"] for r in rows if not r["remaining_exponents"]] + need(excluded == [24, 25, 26, 28, 29, 30, 31] == receipt["excluded_selected_sizes"], + "Exclusion list differs") + return rows + + +def main(): + blobs = {name: pinned(PRODUCER/name, pin) for name, pin in PINS.items()} + receipt = json.loads(blobs["SPECTRAL-BOUND.json"]) + need(receipt["status"] == "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS", "Wrong source status") + result = {"status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND", + "reviewed_pins": PINS, "interface_sha256": INTERFACE_PIN, + "source_reconstruction": source_matrix(), + "graph_cases": graph_cases(receipt["fifteen_root_edge_proof"]), + "logarithm_terms": 64, "rows": spectral_cases(receipt), + "critical_v15_log_margin_strictly_above": "1/1250", + "general_selected_lower_bound": 27, + "scope": "S contains the fixed A and T, and the selected baselines are retained.", + "not_repeated": ["The million-vector split-pair enumeration"], + "not_claimed": ["Existence at size 27", "A general centre-information lower bound", + "A native controller", "A supplier or kappa improvement"]} + (HERE/"SPECTRAL-BOUND-REVIEW.json").write_text(json.dumps(result, indent=2)+"\n") + print(json.dumps({"status": result["status"], "general_selected_lower_bound": 27, + "critical_v15_gap": "> 1/1250"})) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/LICENSE b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/NOTICE.md new file mode 100644 index 0000000000..30d0c8cd3c --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/NOTICE.md @@ -0,0 +1,24 @@ +# Gauge44 attribution and scope + +New contributions by icekylinx, with OpenAI GPT-6 Astra assistance. +Local review and packaging used OpenAI Codex. Apache-2.0 applies; +the license is included. The full original PR635 notice is preserved as +UPSTREAM-NOTICE.md and construction/UPSTREAM-NOTICE.md. + +The new contribution is the changed source-branch gauge and retired-row +completion, source-carried coordinate totals, exact 44-cold-end realization, +and explicit all72 whole-family assignment using concave capacity matching +with integer majorization certificates. The center-carrier generalization +retains the exact ordered common frames and complete native local contract. +Independent local, price, interface and owner fixed-point checks are included. + +The construction retains the credited PR635 K-triangle and porting machinery, +earlier joint-prefix/HPE/frame ancestry and icekylinx's prior factory work. +#645 used the same cited PR543 bit supplier as PR635. This package (research/gauge44-leaver8) cites the merged PR589 bit supplier instead, with a derived rank-mass deficit (PROOF-NOTE-BIT.md); #645's retained PR543-based evidence is historical. It builds #645's word without K-triangles (PartialK) and stacks earlier community jp8 layers on it (G44Stack), adds the p6n ends (NoTriReopen), entrance promotions (BlockInvert) a read-set exchange (BRoute), chafreaky's #741 frames, JointXF's joint exchange, NewBArch's triangle-hybrid B rewrite and LeaverSAT's eight k8 leaver cells (with LeaverSAT2's frame re-optimisation); see README. All-size, realization, +hosting, precision/tape, analytic-transfer and bit H1-H5 assumptions remain +conditional. No upstream license, credit, source pin or AI disclosure is +replaced by this notice. + +PR641 and PR642 were checked as concurrent reported frontier comparisons. +Their endpoints and owner maps are not included here. See CONSTRUCTION.md, +hosting/PROOF.md, independent/ and README.md for the exact contribution scope. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md new file mode 100644 index 0000000000..ebc24a0168 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md @@ -0,0 +1,34 @@ +# Attribution and scope + +Four verified provider types are offered to every call: PR571's prefix word with twelve multi-cut cold kernels (PR568's unchanged constructor), the same word with forty width-five entrance promotions (PR569's unchanged frame constructor) before those kernels, PR575's plain joint-prefix provider, and PR568's eight-cold provider. A window MILP with an exact per-pattern model chooses the dispatch and a literal owner map. PR583's six source-bound kernel frame coalescences (its unchanged constructor and negative controls) are applied to every PR571-prefix provider word (ck and atm3), followed by two further coalescences that each first move one addition past two commuting additions (package code/build_gate_moves.py, extending PR583's constructor); a final hyperplane_end step (package code/build_hpe.py) then runs 46 single-gate cleanups h -= p right after part B at the dim-8 join U of their registers, so 46 width-8 entering helpers per call end at U with width 7; each such gate commutes with every earlier cleanup gate on its registers (for 8 of them the partner's one earlier gate x -= p only reads p), and the reordered program is replayed exactly. A window MILP (exact windows, RINS around an LP vertex) gives the dispatch ck 45 / atm3 21 / jp8 6 and the literal owner map. + +Pinned external sources (unchanged; `verify.py` checks their manifests and every file it uses): +- PR568 (`research/complex-multicold`, commit `71c99ac935a33bb7b59a1b4a7af8725a939b0b90`). +- PR571 (`research/structural-gain`, commit `b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3`). +- PR569 (`research/larger-gain`, commit `897213a855b7fb8a1b8b0e552a2f5c42e6c1b326`). +- PR575 (`research/complex-joint-prefix`, commit `eac6f7e378ab622dac50a2fd4b7ef6eab014de44`). +- PR583 (`research/kernel-frame-coalescing`, commit `89be768f0157f5a3d8e4db69cf1748768605eac9`). + +Provider construction is described as typed steps in `data/SPEC.json` (`build`); `verify.py` runs only allowlisted step types with their paired omission audits and checks every input and output content hash. `code/` holds the spec-driven global admission scripts adapted from PR571's `frontier-composition/global-code/` (OpenAI Codex assisted, Apache-2.0): every expected value is read from `data/SPEC.json` and compared only after independent recomputation. `code/generated_identity.py` and `code/generated_identity_controls.py`, and the decompressed-content artifact identities in the bind, audit, invoice, assembly and phase-timing scripts, are taken unchanged from PR586 by chafreaky (`research/promoted-kernel-coalescing`, commit `4846fee5b06af770e9b3a10c36200f673d656725`, OpenAI Codex assisted, Apache-2.0), including its proof-content and reference/metadata mutation controls; the normalization of descriptive width metadata after frame changes follows the same PR. + +In PR601, the owner map was nominated by a HiGHS window MILP (adapted from PR569's `global/nominate_width7.py`) with lazy cross-time Hall cuts; this package's re-solved map is described below. Neither is an admission dependency. + +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. (The PR601 package this one starts from states: "Prepared by Claude Code (Anthropic) research agents.") Apache-2.0 applies; LICENSE is included. All notices, licenses, source pins and AI disclosures of the pinned sources and their ancestry are retained in those packages and are not replaced by this notice. All inherited conditional assumptions remain conditional. + +**This package (complex-571-cold14, DreamingOfClouds).** It starts from PR601 (jeremykothe2, `research/complex-571-hpem46`, commit `529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550`). Everything above is kept unchanged except the following: +- every provider chain (ck, atm3, jp8) gains the typed step `cold_end` (`code/build_cold_end.py`, `code/cold_end_controls.py`; recipes `data/recipes/*-cold_end.json.gz`); +- the generalised native chain and the global admission scripts accept cold helpers that end below FULL (with `0:U` wrappers), a refactored exact cleanup, and check the wrapper order; +- `data/PLAN.json` / `data/OWNERS.json.gz` (dispatch and literal owner map) come from a relocate/swap/ejection-chain/provider-flip annealing search started from PR601's map, refined by an exact pattern-restricted owner model (CP-SAT) with a literal edge-colouring expansion (not an admission dependency); +- `data/SPEC.json` holds the expected values, recorded by a discovery run and then checked by a strict run. + +The cold-end construction (a row-plus-column cone condition for low-frame ends, a rank-0 dirt-spread premix and multi-gate lower-frame cleanup) builds on PR591 / PR592 / PR593 / PR601 (jeremykothe2) and our PR599 (Lean: multi-gate and cold hyperplane-end tails). DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Build on this at your own risk. + +**This package (complex-571-cold14-b3, jeremykothe2).** It is PR604's `complex-571-cold14` (DreamingOfClouds) with ColdBeyond's second cold end per block (two new `cold_end` A-gate primitives, `PROOF-NOTE.md`), ColdSupply's E1 entering pair and reviewed controls, a free dispatch (jp8 ×60, atm3 ×12) and a literal owner map from an exact per-time-Hall window MIP. All other construction, code, controls and proofs are PR604's and earlier contributors', unchanged. + +**This package (complex-571-cold14-k492).** It is complex-571-cold14-b3 with these changes: +- **K-triangle base words.** The leaver-read K-triangle skeleton atom and its read schedule (`data/TRI-SCHEDULE.json`) are by AtomScout, a Claude Code research agent. `code/construct_k_triangle.py` is PR531's `code/construct_504.py` (icekylinx, OpenAI Codex / GPT assisted, Apache-2.0; pinned source `direct_delivery`) extended with that atom. +- **Ported chains.** The PR604/B3 chains are ported stage by stage onto the K-triangle words by `code/build_port_stage.py` (Port480, a Claude Code research agent). `code/build_frame_regroup.py` extends PR583's `build_frames.py` (chafreaky). +- **Helper count R.** The generalisation of the global scripts to the provider helper count R is by GlobalR (a Claude Code research agent), with AtomReviewer's fixes (PROOF-NOTE-R.md). +- **Owner map.** The owner map, the cold_end recipes on the K-triangle words and the package assembly are by Stack492, Port480 and ColdBeyond (Claude Code research agents). + +Build on this at your own risk. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/NOTICE.md new file mode 100644 index 0000000000..16b0507070 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/NOTICE.md @@ -0,0 +1,9 @@ +# Construction delta notice + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance. Apache-2.0. + +`construct_gauge_xcentre.py` modifies PR635's credited `construct_k_triangle.py`, which in turn extends icekylinx's PR531/PR514/PR425 factory lineage. Its original source comments are retained. The K-triangle schedule and the upstream porting, JP8 frame, kernel and HPE procedures are reused from the pinned source checkouts and are not new contributions of this delta. + +The new source-copy exchanges, complementary factory basis, carrier assignment, exact cold44 constructor and compact reproduction driver are described in `../CONSTRUCTION.md`. + +`UPSTREAM-NOTICE.md` is the complete unmodified notice from the pinned PR635 package. `LICENSE` is that package's Apache-2.0 license. All further notices and source credits of the referenced upstream packages remain applicable and are retained in the source checkouts rather than vendored again here. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/UPSTREAM-NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/UPSTREAM-NOTICE.md new file mode 100644 index 0000000000..ebc24a0168 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/construction/UPSTREAM-NOTICE.md @@ -0,0 +1,34 @@ +# Attribution and scope + +Four verified provider types are offered to every call: PR571's prefix word with twelve multi-cut cold kernels (PR568's unchanged constructor), the same word with forty width-five entrance promotions (PR569's unchanged frame constructor) before those kernels, PR575's plain joint-prefix provider, and PR568's eight-cold provider. A window MILP with an exact per-pattern model chooses the dispatch and a literal owner map. PR583's six source-bound kernel frame coalescences (its unchanged constructor and negative controls) are applied to every PR571-prefix provider word (ck and atm3), followed by two further coalescences that each first move one addition past two commuting additions (package code/build_gate_moves.py, extending PR583's constructor); a final hyperplane_end step (package code/build_hpe.py) then runs 46 single-gate cleanups h -= p right after part B at the dim-8 join U of their registers, so 46 width-8 entering helpers per call end at U with width 7; each such gate commutes with every earlier cleanup gate on its registers (for 8 of them the partner's one earlier gate x -= p only reads p), and the reordered program is replayed exactly. A window MILP (exact windows, RINS around an LP vertex) gives the dispatch ck 45 / atm3 21 / jp8 6 and the literal owner map. + +Pinned external sources (unchanged; `verify.py` checks their manifests and every file it uses): +- PR568 (`research/complex-multicold`, commit `71c99ac935a33bb7b59a1b4a7af8725a939b0b90`). +- PR571 (`research/structural-gain`, commit `b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3`). +- PR569 (`research/larger-gain`, commit `897213a855b7fb8a1b8b0e552a2f5c42e6c1b326`). +- PR575 (`research/complex-joint-prefix`, commit `eac6f7e378ab622dac50a2fd4b7ef6eab014de44`). +- PR583 (`research/kernel-frame-coalescing`, commit `89be768f0157f5a3d8e4db69cf1748768605eac9`). + +Provider construction is described as typed steps in `data/SPEC.json` (`build`); `verify.py` runs only allowlisted step types with their paired omission audits and checks every input and output content hash. `code/` holds the spec-driven global admission scripts adapted from PR571's `frontier-composition/global-code/` (OpenAI Codex assisted, Apache-2.0): every expected value is read from `data/SPEC.json` and compared only after independent recomputation. `code/generated_identity.py` and `code/generated_identity_controls.py`, and the decompressed-content artifact identities in the bind, audit, invoice, assembly and phase-timing scripts, are taken unchanged from PR586 by chafreaky (`research/promoted-kernel-coalescing`, commit `4846fee5b06af770e9b3a10c36200f673d656725`, OpenAI Codex assisted, Apache-2.0), including its proof-content and reference/metadata mutation controls; the normalization of descriptive width metadata after frame changes follows the same PR. + +In PR601, the owner map was nominated by a HiGHS window MILP (adapted from PR569's `global/nominate_width7.py`) with lazy cross-time Hall cuts; this package's re-solved map is described below. Neither is an admission dependency. + +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. (The PR601 package this one starts from states: "Prepared by Claude Code (Anthropic) research agents.") Apache-2.0 applies; LICENSE is included. All notices, licenses, source pins and AI disclosures of the pinned sources and their ancestry are retained in those packages and are not replaced by this notice. All inherited conditional assumptions remain conditional. + +**This package (complex-571-cold14, DreamingOfClouds).** It starts from PR601 (jeremykothe2, `research/complex-571-hpem46`, commit `529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550`). Everything above is kept unchanged except the following: +- every provider chain (ck, atm3, jp8) gains the typed step `cold_end` (`code/build_cold_end.py`, `code/cold_end_controls.py`; recipes `data/recipes/*-cold_end.json.gz`); +- the generalised native chain and the global admission scripts accept cold helpers that end below FULL (with `0:U` wrappers), a refactored exact cleanup, and check the wrapper order; +- `data/PLAN.json` / `data/OWNERS.json.gz` (dispatch and literal owner map) come from a relocate/swap/ejection-chain/provider-flip annealing search started from PR601's map, refined by an exact pattern-restricted owner model (CP-SAT) with a literal edge-colouring expansion (not an admission dependency); +- `data/SPEC.json` holds the expected values, recorded by a discovery run and then checked by a strict run. + +The cold-end construction (a row-plus-column cone condition for low-frame ends, a rank-0 dirt-spread premix and multi-gate lower-frame cleanup) builds on PR591 / PR592 / PR593 / PR601 (jeremykothe2) and our PR599 (Lean: multi-gate and cold hyperplane-end tails). DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Build on this at your own risk. + +**This package (complex-571-cold14-b3, jeremykothe2).** It is PR604's `complex-571-cold14` (DreamingOfClouds) with ColdBeyond's second cold end per block (two new `cold_end` A-gate primitives, `PROOF-NOTE.md`), ColdSupply's E1 entering pair and reviewed controls, a free dispatch (jp8 ×60, atm3 ×12) and a literal owner map from an exact per-time-Hall window MIP. All other construction, code, controls and proofs are PR604's and earlier contributors', unchanged. + +**This package (complex-571-cold14-k492).** It is complex-571-cold14-b3 with these changes: +- **K-triangle base words.** The leaver-read K-triangle skeleton atom and its read schedule (`data/TRI-SCHEDULE.json`) are by AtomScout, a Claude Code research agent. `code/construct_k_triangle.py` is PR531's `code/construct_504.py` (icekylinx, OpenAI Codex / GPT assisted, Apache-2.0; pinned source `direct_delivery`) extended with that atom. +- **Ported chains.** The PR604/B3 chains are ported stage by stage onto the K-triangle words by `code/build_port_stage.py` (Port480, a Claude Code research agent). `code/build_frame_regroup.py` extends PR583's `build_frames.py` (chafreaky). +- **Helper count R.** The generalisation of the global scripts to the provider helper count R is by GlobalR (a Claude Code research agent), with AtomReviewer's fixes (PROOF-NOTE-R.md). +- **Owner map.** The owner map, the cold_end recipes on the K-triangle words and the package assembly are by Stack492, Port480 and ColdBeyond (Claude Code research agents). + +Build on this at your own risk. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/t16/NOTICE.md b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/t16/NOTICE.md new file mode 100644 index 0000000000..403f4afffb --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/notices/research/gauge44-slots-t16/t16/NOTICE.md @@ -0,0 +1,39 @@ +# Attribution and license + +Apache-2.0. New construction and integration: Hao Yan (@FanPUYen), 2026. +Prepared with substantial OpenAI Codex assistance, including separately tasked +AI agents for owner construction, independent mathematical/code checking and +native verification. These are not claims of independent human peer review. + +The exact local supplier is Jeremy Kothe's accepted PR799 X4 word, layered on +Chafik Boukhalfa's PR741 frame changes and PR685 owner construction. Chafik's +PR795 fixed-inventory optimality result motivated changing the replica count. +The original owner bytes, scalar program, local frame and width inventory, +native phase and wrapper implementations retain their existing authorship. + +Credit icekylinx for the source gauge and supplier/admission pipeline; +DreamingOfClouds for the PR589 bit transport and inherited cold-end work; +eumemic for the PR555 bit supplier and earlier supplier work; Rohan Arun for +the native exact-complex recurrence correction; Jeremy Diviney, jaymosley07, +and the other retained owner/allocation contributors; and the complete +PR514/PR484/PR507/PR558 controller, physical hosting and verification lineage. +This list is cumulative credit, not approval of every claim in those PRs. + +All original notices and licenses remain in the referenced source packages: + +- `research/gauge44-frames-x/{NOTICE,UPSTREAM-NOTICE}.md` +- `research/complex-sw4-frame8/PROVENANCE.md` +- `research/e8-bit-p111-tuned/tune/README.md` +- the repository `CONTRIBUTORS.md` and source-package licenses. + +The verifier copies pinned global source files into an external replay +directory and applies an explicit checked edit list. Original attribution +comments are preserved in those generated derivatives. No original source +file or historical certificate is rewritten. + +The optional ancestry-reuse coverage guard addresses the omission issue +identified by Lucas (@ljste) in PR838 and the related PR847 integration by +Chinmay (@chinmayarvind23). Its fixed inventories were read from the accepted +PR741 source; no pending implementation is imported. Charles Bethin's +concurrent PR850 strengthens the fixed-inventory owner-profile theorem and +was checked for overlap before publication; that inventory is changed here. diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/portable/review_spectral_bound.py b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/portable/review_spectral_bound.py new file mode 100644 index 0000000000..4839a89ce4 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/portable/review_spectral_bound.py @@ -0,0 +1,271 @@ +"""Review the unpaired spectral bound without producer imports.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from itertools import product +from math import comb, isqrt +from pathlib import Path +import gzip +import json + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[3] +LANES = HERE.parent +PRODUCER = LANES / "schur-selection" +BASE = "bce54fb3f895cbe5cd4c0eb477c3afeed100190f" +ARCHIVE = "research/community-frontier1042-audit/selected-replay.tar.gz" +ARCHIVE_PIN = "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754" +PINS = { + "SPECTRAL-BOUND.md": "6dd2afed08d8873a2277ccfef4edd1bc212e831b8495bb659809f76d77802af1", + "check_spectral_bound.py": "ecc031e20c309c4e1d04443b60a58fe03d32ce73a5a3b43078e9cb673341c61c", + "SPECTRAL-BOUND.json": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "PAIR-BOUND.json": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0", +} +INTERFACE_PIN = "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3" +MEMBERS = { + "slots/local/CANONICAL-WORD.json.gz": ( + "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c"), + "slots/local/LOCAL-PROGRAMS.json.gz": ( + "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3"), +} +A = [0, 7, 20, 27, 36, 46, 57, 111] +T = [21, 37, 47, 76, 81, 87, 92, 110] + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def pinned(path, expected): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == expected, "Changed input: " + str(path)) + return raw + + +def source_matrix(): + inputs = {} + for name, (compressed_pin, payload_pin) in MEMBERS.items(): + compressed = pinned(ROOT / "source-members" / name, compressed_pin) + payload = gzip.decompress(compressed) + need(sha256(payload).hexdigest() == payload_pin, "Payload pin differs") + inputs[name.rsplit("/", 1)[-1]] = json.loads(payload) + word = inputs["CANONICAL-WORD.json.gz"] + events = inputs["LOCAL-PROGRAMS.json.gz"]["forward"] + cut = events.index(["phase", "centers"]) + gradient = [{} for _ in range(712)] + for k, center in enumerate(word["centers"]): + gradient[center][k] = Q(1) + + def register(token): + need(token[0] in ("L", "C"), "Unknown field namespace") + value = token[1] + 704 * (token[0] == "C") + need(0 <= value < 712, "Invalid field") + return value + + for event in reversed(events[:cut]): + if event[0] != "scalar": + continue + op = event[1] + target = register(op[1]) + if op[0] == "clear": + gradient[target] = {} + elif op[0] == "scale": + scale = Q(op[2], op[3]) + gradient[target] = {k: x * scale for k, x in gradient[target].items()} + else: + need(op[0] in ("add", "copy"), "Unknown scalar operation") + source = register(op[2]) + need(source != target, "Unexpected aliased scalar operation") + scale = Q(1) if op[0] == "copy" else Q(op[3], op[4]) + for k, x in gradient[target].items(): + gradient[source][k] = gradient[source].get(k, 0) + scale*x + if op[0] == "copy": + gradient[target] = {} + R = [[gradient[p].get(k, Q(0)) for p in range(112)] for k in range(8)] + interface = json.loads(pinned(LANES / "circuit-interface/INTERFACE.json", INTERFACE_PIN)) + need(R == [[Q(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]], + "Reverse source reconstruction differs from R") + need(all(x.denominator == 1 for row in R for x in row), "R is not integral") + R = [[int(x) for x in row] for row in R] + gram = lambda ports: [[sum(R[i][p]*R[j][p] for p in ports) + for j in range(8)] for i in range(8)] + need(gram(range(112)) == [[56*(i == j) for j in range(8)] for i in range(8)], + "Full source Gram differs") + need(not set(A) & set(T), "Fixed minors overlap") + for ports in (A, T): + need(gram(ports) == [[4*(i == j) for j in range(8)] for i in range(8)], + "A fixed minor differs") + columns = list(zip(*R)) + need(all(sum(x*x for x in col) == 4 for col in columns), "A root norm differs") + dots = Counter(sum(x*y for x, y in zip(columns[i], columns[j])) + for i in range(112) for j in range(i)) + need(dots == {0: 3304, 2: 1960, -2: 952}, "Root products differ") + return {"archive_sha256": ARCHIVE_PIN, "members": MEMBERS, + "reverse_output_forms": 8, "source_columns": 112, "source_cut": cut, + "pair_products": dict(sorted(dots.items())), "full_gram": "56 I8", + "fixed_minor_grams": "4 I8"} + + +def graph_cases(producer): + for n in (7, 8): + G = [[Q(2*(i == j)+2) for j in range(n)] for i in range(n)] + H = [[(Q(i == j)-Q(1, n+1))/2 for j in range(n)] for i in range(n)] + need(all(sum(G[i][k]*H[k][j] for k in range(n)) == (i == j) + for i in range(n) for j in range(n)), "Clique inverse differs") + clique8 = [[h, s] for h in range(9) for s in range(-h, h+1, 2) + if 9*h-s*s == 18] + need(clique8 == producer["clique_eight_projection_cases_h_s"], "Eight-clique cases differ") + need(28+7*max(x[0] for x in clique8)+21 == 91, "Eight-clique edge bound differs") + high = [[s, str(Q(s*s-32, 4))] for s in range(-6, 7, 2) if s*s >= 32] + need(high == [[-6, "1"], [6, "1"]], "High-root cases differ") + expected = {(0, 0, "4"): 7, (1, 1, "9/4"): 6, (2, 0, "0"): 2, + (2, 2, "1"): 7, (3, 3, "1/4"): 4, + (4, 4, "0"): 3, (5, 5, "1/4"): 2} + cases = Counter() + comparisons = 0 + for epsilon in product((-1, 0, 1), repeat=7): + h, s = sum(x != 0 for x in epsilon), sum(epsilon) + residual4 = s*s-8*h+16 + if h > 5 or residual4 < 0: + continue + a2 = isqrt(residual4) + need(a2*a2 == residual4, "A low-root residual needs another case") + key = (h, abs(s), str(Q(residual4, 4))) + need(key in expected, "Unlisted low-root case") + allowed = [] + for index in range(7): + dots2 = {s-4*epsilon[index]+sign*a2 for sign in (-1, 1)} + allowed.append(dots2 & {-4, 0, 4}) + possible_edges = sum(bool(values & {-4, 4}) for values in allowed) + need(possible_edges == expected[key], "The low-root table differs") + for t in range(8): + if t <= sum(bool(values) for values in allowed): + need(h+min(t, possible_edges) <= max(7, t+2), "Combined degree bound fails") + comparisons += 1 + cases[key] += 1 + need(sum(cases.values()) == 281 and set(cases) == set(expected), "Low cases are incomplete") + bounds = [21+6*t+5*(8-t)+28 if t < 2 else + 21+6*t+comb(t, 2)+(8-t)*max(7, t+2)+comb(8-t, 2) + for t in range(8)] + need(bounds == [89, 90, 91, 87, 85, 85, 89, 93], "Seven-clique total differs") + need(bounds == producer["clique_seven_bounds_for_t_zero_through_seven"], "Receipt cases differ") + need((Q(1)-Q(1, 6))*225/2 < 94, "Small-clique bound fails") + return {"epsilon_patterns": sum(cases.values()), "degree_checks": comparisons, + "low_table": [[*key, expected[key], cases[key]] for key in sorted(cases)], + "seven_clique_bounds": bounds, "eight_clique_bound": 91, + "fifteen_root_edge_bound": 93} + + +def log_bounds(argument, terms=64): + """Use direct rational powers and an explicit positive tail bound.""" + x = Q(argument) + need(x > 0, "Nonpositive logarithm") + if x < 1: + lo, hi = log_bounds(1/x, terms) + return -hi, -lo + exponent = 0 + while x > 2: + x /= 2 + exponent += 1 + z = (x-1)/(x+1) + lower = sum((2*z**j/Q(j) for j in range(1, 2*terms, 2)), Q(0)) + upper = lower + 2*z**(2*terms+1)/((2*terms+1)*(1-z*z)) + if exponent: + lo2, hi2 = log_bounds(Q(2), terms) + lower, upper = lower+exponent*lo2, upper+exponent*hi2 + return lower, upper + + +def rational_floor(x, scale=10**9): + return str(Q((x*scale).numerator//(x*scale).denominator, scale)) + + +def spectral_cases(receipt): + lo44, _ = log_bounds(44) + lo2, hi2 = log_bounds(2) + log44_32, _ = log_bounds(44, 32) + _, log2_32 = log_bounds(2, 32) + rows = [] + for row in receipt["rows"]: + v = row["additional_columns"] + trace = 4*v + edge = min(comb(v, 2), 7*v*v//16) + if v >= 15: + edge = min(edge, 93*comb(v, 2)//comb(15, 2)) + moment = 16*v+8*edge + discr = 7*(8*moment-trace*trace) + root_upper = isqrt(discr*256**2) + root_upper += (root_upper**2 != discr*256**2) + cap = min(Q(2*v+2), Q(4)+Q(7*v, 4), (trace+Q(root_upper, 256))/8) + need(0 < cap < 44 and Q(row["largest_eigenvalue_bound"]) == cap, "Eigenvalue cap differs") + need((row["trace"], row["nonorthogonal_edge_bound"], row["square_trace_bound"]) + == (trace, edge, moment), "Moment ledger differs") + count = int(trace//cap) + leftover = trace-count*cap + need(0 <= count < 8 and 0 <= leftover < cap, "Invalid extreme spectrum") + crude = (44-cap)**count*(44-leftover)*44**(7-count) + upper = (44-Q(v, 2))**8 + ratio = Q(44)/(44-cap) + _, log_ratio_hi = log_bounds(ratio) + lower = 8*lo44-Q(trace, 44)-Q(moment)/cap**2*(log_ratio_hi-cap/44) + lower_power = max(k for k in range(60) if crude > 2**k or lower > k*hi2) + upper_power = min(k for k in range(60) if upper < 2**k) + remaining = list(range(lower_power+1, upper_power)) + need(Q(row["crude_determinant_lower"]) == crude and Q(row["determinant_upper"]) == upper, + "Determinant bounds differ") + need((lower_power, upper_power, remaining) == + (row["strict_lower_power"], row["strict_upper_power"], row["remaining_power_exponents"]), + "Power-of-two interval differs") + if not remaining: + _, lr32 = log_bounds(ratio, 32) + l32 = 8*log44_32-Q(trace, 44)-Q(moment)/cap**2*(lr32-cap/44) + margins = row["exact_exclusion_margins"] + need(Q(margins["log_lower_minus_previous_power"]) == l32-lower_power*log2_32, + "Saved logarithm margin differs") + need(Q(margins["crude_lower_minus_previous_power"]) == crude-2**lower_power, + "Saved crude margin differs") + need(Q(margins["next_power_minus_upper"]) == 2**upper_power-upper, + "Saved upper margin differs") + margin = lower-lower_power*hi2 + if v == 15: + need(moment == 984 and cap == Q(29815, 1024), "Critical v15 data differ") + need(margin > Q(1, 1250), "The exact v15 gap is not above 1/1250") + rows.append({"selected_size": v+16, "edge_bound": edge, + "largest_eigenvalue_bound": str(cap), + "strict_powers": [lower_power, upper_power], + "remaining_exponents": remaining, + "log_margin_lower_bound": rational_floor(margin)}) + need([r["selected_size"] for r in rows] == list(range(24, 40)), "Size range is incomplete") + excluded = [r["selected_size"] for r in rows if not r["remaining_exponents"]] + need(excluded == [24, 25, 26, 28, 29, 30, 31] == receipt["excluded_selected_sizes"], + "Exclusion list differs") + return rows + + +def main(): + blobs = {name: pinned(PRODUCER/name, pin) for name, pin in PINS.items()} + receipt = json.loads(blobs["SPECTRAL-BOUND.json"]) + need(receipt["status"] == "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS", "Wrong source status") + result = {"status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND", + "reviewed_pins": PINS, "interface_sha256": INTERFACE_PIN, + "source_reconstruction": source_matrix(), + "graph_cases": graph_cases(receipt["fifteen_root_edge_proof"]), + "logarithm_terms": 64, "rows": spectral_cases(receipt), + "critical_v15_log_margin_strictly_above": "1/1250", + "general_selected_lower_bound": 27, + "scope": "S contains the fixed A and T, and the selected baselines are retained.", + "not_repeated": ["The million-vector split-pair enumeration"], + "not_claimed": ["Existence at size 27", "A general centre-information lower bound", + "A native controller", "A supplier or kappa improvement"]} + (HERE/"SPECTRAL-BOUND-REVIEW.json").write_text(json.dumps(result, indent=2)+"\n") + print(json.dumps({"status": result["status"], "general_selected_lower_bound": 27, + "critical_v15_gap": "> 1/1250"})) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/PRIOR-PINNED-SOURCE-CHECK.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/PRIOR-PINNED-SOURCE-CHECK.json new file mode 100644 index 0000000000..41d511e1e4 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/PRIOR-PINNED-SOURCE-CHECK.json @@ -0,0 +1,20 @@ +{ + "status": "PASS_EXACT_PINNED_ARCHIVE_MEMBERS", + "source_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "members": [ + { + "archive_member": "slots/local/CANONICAL-WORD.json.gz", + "packaged": "data/CANONICAL-WORD.json.gz", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "bytes": 84805 + }, + { + "archive_member": "slots/local/LOCAL-PROGRAMS.json.gz", + "packaged": "data/LOCAL-PROGRAMS.json.gz", + "sha256": "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "bytes": 209318 + } + ], + "read_from_git": "." +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/SOURCE-EXTRACTION.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/SOURCE-EXTRACTION.json new file mode 100644 index 0000000000..2890b60210 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/provenance/SOURCE-EXTRACTION.json @@ -0,0 +1,25 @@ +{ + "archive_bytes": 19299540, + "archive_local_source": "worktrees/k5-persistent-cleanup/research/community-frontier1042-audit/selected-replay.tar.gz", + "archive_repository_path": "research/community-frontier1042-audit/selected-replay.tar.gz", + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "archive_url": "https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/community-frontier1042-audit/selected-replay.tar.gz", + "git_commands_run": false, + "historical_source_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "matched_prior_pinned_members": true, + "members": [ + { + "archive_member": "slots/local/CANONICAL-WORD.json.gz", + "bytes": 84805, + "decompressed_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + { + "archive_member": "slots/local/LOCAL-PROGRAMS.json.gz", + "bytes": 209318, + "decompressed_sha256": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3", + "sha256": "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a" + } + ], + "status": "PASS_EXACT_LOCAL_ARCHIVE_EXTRACTION" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/replay.py b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/replay.py new file mode 100644 index 0000000000..0e11aac3dc --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/replay.py @@ -0,0 +1,105 @@ +#!/usr/bin/env python3 +"""Replay the fixed-baseline spectral bound in a new output directory.""" + +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json +import os +import platform +import shutil +import subprocess +import sys +import tempfile +import time + + +HERE = Path(__file__).resolve().parent +CAMPAIGN = Path("work/centre-encoding-campaign-20261014") +MANIFEST = HERE / "SOURCE-MANIFEST.json" + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def check_inputs(): + records = json.loads(MANIFEST.read_text())["files"] + for name, item in records.items(): + raw = (HERE / name).read_bytes() + need(len(raw) == item["bytes"], "Source size: " + name) + need(sha256(raw).hexdigest() == item["sha256"], "Source hash: " + name) + if "decompressed_sha256" in item: + need(sha256(gzip.decompress(raw)).hexdigest() == item["decompressed_sha256"], + "Source payload: " + name) + return len(records) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, required=True) + parser.add_argument("--optimized", action="store_true") + args = parser.parse_args() + output = args.out.resolve() + need(not output.exists(), "Use a new output directory") + need(not output.is_relative_to(HERE), "Keep output outside the annex") + output.parent.mkdir(parents=True, exist_ok=True) + need(shutil.disk_usage(output.parent).free >= 3 * 1024**3 + 10 * 1024**2, + "Keep at least 3 GiB free during replay") + count = check_inputs() + output.mkdir() + started = time.monotonic() + env = dict(os.environ, PYTHONDONTWRITEBYTECODE="1", OMP_NUM_THREADS="1", + OPENBLAS_NUM_THREADS="1", MKL_NUM_THREADS="1", NUMEXPR_NUM_THREADS="1") + report = {"schema": "fixed-baseline-spectral-replay-v1", "source_files": count, + "source_manifest_sha256": sha256(MANIFEST.read_bytes()).hexdigest(), + "replay_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "python": sys.version, "platform": platform.platform(), + "optimized_reviewer": args.optimized, "stages": []} + with tempfile.TemporaryDirectory(prefix="spectral-gap-", dir=output) as temporary: + workspace = Path(temporary) / "workspace" + shutil.copytree(HERE / "frozen", workspace) + lanes = workspace / CAMPAIGN / "lanes" + shutil.copyfile(HERE / "portable/review_spectral_bound.py", + lanes / "temporal-reuse/review_spectral_bound.py") + stages = [ + ("producer", "schur-selection/check_spectral_bound.py", + "schur-selection/SPECTRAL-BOUND.json", False), + ("independent", "temporal-reuse/review_spectral_bound.py", + "temporal-reuse/SPECTRAL-BOUND-REVIEW.json", args.optimized), + ] + for name, script, receipt, optimized in stages: + need(shutil.disk_usage(output).free >= 3 * 1024**3, "Disk reserve") + command = [sys.executable, "-I", "-B"] + if optimized: + command.append("-O") + command.append(str(lanes / script)) + tick = time.monotonic() + print("RUN " + name, flush=True) + with (output / (name + ".log")).open("w") as stream: + process = subprocess.run(command, cwd=workspace, env=env, stdout=stream, + stderr=subprocess.STDOUT, check=False) + need(process.returncode == 0, "Read " + str(output / (name + ".log"))) + actual = (lanes / receipt).read_bytes() + expected = (HERE / "frozen" / CAMPAIGN / "lanes" / receipt).read_bytes() + need(actual == expected, "Historical receipt bytes differ: " + name) + result = json.loads(actual) + (output / (name + ".json")).write_bytes(actual) + report["stages"].append({"name": name, "status": result["status"], + "command": command, "python_optimized": optimized, + "receipt_bytes_equal": True, "receipt_sha256": sha256(actual).hexdigest(), + "seconds": time.monotonic() - tick}) + print(result["status"], flush=True) + check_inputs() + report.update(status="PASS_FIXED_BASELINE_SPECTRAL_GAP", frozen_inputs_unchanged=True, + producer_assertions_enabled=True, seconds=time.monotonic() - started, + scope="Fixed A,T and retained selected baselines. Size27 remains open. No global minimum or kappa change.", + source_access="Two exact compressed archive members and their decoded payloads; no Git, network, or full archive access.") + (output / "REPLAY.json").write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"], flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MAIN-PRESERVATION.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MAIN-PRESERVATION.json new file mode 100644 index 0000000000..ae40d9be12 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MAIN-PRESERVATION.json @@ -0,0 +1,9 @@ +{ + "accepted_bytes_checked": 29345451, + "accepted_files_checked": 256, + "accepted_main_manifest_sha256": "979f10770579cc992acc0f04b397575114b25503e0c1022d54b4bedc5d423fbf", + "added_tree": "annex/fixed-baseline-spectral-gap", + "main_replay_sha256": "0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd", + "source_manifest_sha256": "ab9fbd1a279135af0f4ae2d9445c97603ef4767b30a1f5aed1c7de1fbb56121f", + "status": "PASS_ACCEPTED_MAIN_PACKAGE_UNCHANGED" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MODE-COMPARISON.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MODE-COMPARISON.json new file mode 100644 index 0000000000..f4cdb90ed8 --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/MODE-COMPARISON.json @@ -0,0 +1,18 @@ +{ + "checks": [ + { + "normal_optimized_bytes_equal": true, + "receipt": "producer.json", + "sha256": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84" + }, + { + "normal_optimized_bytes_equal": true, + "receipt": "independent.json", + "sha256": "9639db0bdbc82255ef85273ac15a0aff68d5c659190557bf331d260eb714964f" + } + ], + "normal_seconds": 0.3615732920006849, + "optimized_seconds": 0.34971858299104497, + "producer_assertions_enabled_in_both": true, + "status": "PASS_NORMAL_OPTIMIZED_RECEIPTS_BYTE_EQUAL" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/REPLAY.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/REPLAY.json new file mode 100644 index 0000000000..ec538fde7e --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/REPLAY.json @@ -0,0 +1,45 @@ +{ + "frozen_inputs_unchanged": true, + "optimized_reviewer": false, + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "producer_assertions_enabled": true, + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "replay_sha256": "4d6c64b3bdd95d9d7369eb63bfd6cdce0b94edec19954f3dfc878eadede66fdc", + "schema": "fixed-baseline-spectral-replay-v1", + "scope": "Fixed A,T and retained selected baselines. Size27 remains open. No global minimum or kappa change.", + "seconds": 0.3615732920006849, + "source_access": "Two exact compressed archive members and their decoded payloads; no Git, network, or full archive access.", + "source_files": 21, + "source_manifest_sha256": "9a891d1ea4656b9dc60321646af4e6ef3cdb4213fffef55ebeb63624545a1904", + "stages": [ + { + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-B", + "/private/tmp/fixed-baseline-spectral-normal-20261022/spectral-gap-vu_wt44y/workspace/work/centre-encoding-campaign-20261014/lanes/schur-selection/check_spectral_bound.py" + ], + "name": "producer", + "python_optimized": false, + "receipt_bytes_equal": true, + "receipt_sha256": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "seconds": 0.10127312497934327, + "status": "PASS_UNPAIRED_SPECTRAL_EXCLUSIONS" + }, + { + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-B", + "/private/tmp/fixed-baseline-spectral-normal-20261022/spectral-gap-vu_wt44y/workspace/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_spectral_bound.py" + ], + "name": "independent", + "python_optimized": false, + "receipt_bytes_equal": true, + "receipt_sha256": "9639db0bdbc82255ef85273ac15a0aff68d5c659190557bf331d260eb714964f", + "seconds": 0.2110802090028301, + "status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND" + } + ], + "status": "PASS_FIXED_BASELINE_SPECTRAL_GAP" +} diff --git a/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/independent.json b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/independent.json new file mode 100644 index 0000000000..dc9b92970d --- /dev/null +++ b/research/raw-selected-centre-units/annex/fixed-baseline-spectral-gap/validation/normal/independent.json @@ -0,0 +1,315 @@ +{ + "status": "PASS_INDEPENDENT_UNPAIRED_SPECTRAL_BOUND", + "reviewed_pins": { + "SPECTRAL-BOUND.md": "6dd2afed08d8873a2277ccfef4edd1bc212e831b8495bb659809f76d77802af1", + "check_spectral_bound.py": "ecc031e20c309c4e1d04443b60a58fe03d32ce73a5a3b43078e9cb673341c61c", + "SPECTRAL-BOUND.json": "d1124af128b6e526461c7587c2a7331dc4d19c9d90433d8d08bf9676c33a8a84", + "PAIR-BOUND.json": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0" + }, + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "source_reconstruction": { + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "members": { + "slots/local/CANONICAL-WORD.json.gz": [ + "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" + ], + "slots/local/LOCAL-PROGRAMS.json.gz": [ + "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3" + ] + }, + "reverse_output_forms": 8, + "source_columns": 112, + "source_cut": 12550, + "pair_products": { + "-2": 952, + "0": 3304, + "2": 1960 + }, + "full_gram": "56 I8", + "fixed_minor_grams": "4 I8" + }, + "graph_cases": { + "epsilon_patterns": 281, + "degree_checks": 2248, + "low_table": [ + [ + 0, + 0, + "4", + 7, + 1 + ], + [ + 1, + 1, + "9/4", + 6, + 14 + ], + [ + 2, + 0, + "0", + 2, + 42 + ], + [ + 2, + 2, + "1", + 7, + 42 + ], + [ + 3, + 3, + "1/4", + 4, + 70 + ], + [ + 4, + 4, + "0", + 3, + 70 + ], + [ + 5, + 5, + "1/4", + 2, + 42 + ] + ], + "seven_clique_bounds": [ + 89, + 90, + 91, + 87, + 85, + 85, + 89, + 93 + ], + "eight_clique_bound": 91, + "fifteen_root_edge_bound": 93 + }, + "logarithm_terms": 64, + "rows": [ + { + "selected_size": 24, + "edge_bound": 28, + "largest_eigenvalue_bound": "18", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "306949273/1000000000" + }, + { + "selected_size": 25, + "edge_bound": 35, + "largest_eigenvalue_bound": "40225/2048", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "36778207/200000000" + }, + { + "selected_size": 26, + "edge_bound": 43, + "largest_eigenvalue_bound": "21821/1024", + "strict_powers": [ + 42, + 43 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "1368811/25000000" + }, + { + "selected_size": 27, + "edge_bound": 52, + "largest_eigenvalue_bound": "23", + "strict_powers": [ + 41, + 43 + ], + "remaining_exponents": [ + 42 + ], + "log_margin_lower_bound": "611706799/1000000000" + }, + { + "selected_size": 28, + "edge_bound": 63, + "largest_eigenvalue_bound": "6373/256", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "231055733/500000000" + }, + { + "selected_size": 29, + "edge_bound": 73, + "largest_eigenvalue_bound": "54131/2048", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "156442089/500000000" + }, + { + "selected_size": 30, + "edge_bound": 85, + "largest_eigenvalue_bound": "14421/512", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "146583479/1000000000" + }, + { + "selected_size": 31, + "edge_bound": 93, + "largest_eigenvalue_bound": "29815/1024", + "strict_powers": [ + 41, + 42 + ], + "remaining_exponents": [], + "log_margin_lower_bound": "202541/250000000" + }, + { + "selected_size": 32, + "edge_bound": 106, + "largest_eigenvalue_bound": "15749/512", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + "log_margin_lower_bound": "253762069/500000000" + }, + { + "selected_size": 33, + "edge_bound": 120, + "largest_eigenvalue_bound": "2075/64", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + "log_margin_lower_bound": "150530309/500000000" + }, + { + "selected_size": 34, + "edge_bound": 135, + "largest_eigenvalue_bound": "69837/2048", + "strict_powers": [ + 40, + 42 + ], + "remaining_exponents": [ + 41 + ], + 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Existing parent and spectral files and their historical manifests are unchanged." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/NOTICE.md b/research/raw-selected-centre-units/annexes/selected-interface-families/NOTICE.md new file mode 100644 index 0000000000..cb5565e4f6 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/NOTICE.md @@ -0,0 +1,45 @@ +# Source credit and license + +This additive annex uses the repository's Apache-2.0 license, retained +in [notices/LICENSE](notices/LICENSE). Every file under `frozen/` is an +unchanged campaign source. [SOURCES.json](SOURCES.json) records its +original path, byte hash, and decompressed hash where applicable. + +Controller-followthrough supplied the partial, structured, and signed +component responses and the emitted scalar gauges. Bridge-review +supplied the complete-minor criterion, endpoint query separation, +positive-metric proof, signed-pivot theorem, six-step ordinary factor, +and independent exact checks. The peer checks retain the separate proof +review and cycle-cover count. The budget-geometry work supplied the +selection-size valuation argument. The V2 scale placement credits the +new-core-transfer worker in its frozen source. + +The coordinating and native-escape lanes supplied the raw selected +exchange mechanisms. The current-query-encoder and oblique-native lanes +supplied the signed-unit and oblique-return mechanisms. New-core-transfer +ported those mechanisms to the retained providers and supplied their +literal local words. Independent-review checked the complete words, +source contracts, ordered maps, and local costs. + +Controller-followthrough proposed the live-eight suffix. New-core-transfer +supplied its live-target binding and complete words. New-native-recipes +identified its native obligations and independently checked every new +spatial kernel, FULL commutation, complete map, and local invoice. +The original source files retain these roles separately. + +The historical providers and phase methods retain the exact external +credits and notices in the [parent notice](../../NOTICE.md). They include +the [PR #3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133) +and [PR #3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148) +provider lineage and the +[PR #2588](https://github.com/CrocSwap/integer-mult-bounds/pull/2588) +and [PR #2226](https://github.com/CrocSwap/integer-mult-bounds/pull/2226) +phase lineage. This annex does not claim their construction as new work +or infer authorship from a submitting account. The retained core-phase +review is a dependency; its main suite is not rerun by this annex. + +Substantial OpenAI Codex assistance was used for research, proofs, +code, documentation, and separate agent review. Agent checks are not +human review or a formal proof of the complete multiplication theorem. +Frozen statements about pending review or lack of publication authority +record their original historical stage. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/README.md b/research/raw-selected-centre-units/annexes/selected-interface-families/README.md new file mode 100644 index 0000000000..3c4e85553b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/README.md @@ -0,0 +1,255 @@ +# Selected-interface families and local words + +This annex adopts five previously reviewed families from the campaign. +They give complete-minor geometry, a signed-pivot construction, and exact +local words on two historical providers. The family proofs extend the +single selected examples in the parent package. They do not give a routed +caller or a complete kappa improvement. The accepted parent files and +the separate spectral annex remain unchanged. + +| Family | Adopted result | Frozen proof or review | +| --- | --- | --- | +| B05 | All 64 complete-minor unions, all 20 balanced splits, serial gauges, and a 42-parameter positive-metric obstruction | [Structured review](frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.md) | +| B06 | Signed principal-unit theorem, six-step ordinary factor, and 960 algebraic pivot selections | [Signed-pivot theorem](frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOT.md) | +| N06 | Five raw selected-exchange variants on each provider | [Raw-word review](frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW.md) | +| N08 | Five signed or oblique map forms on each provider | [Signed-word review](frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.md) | +| N10 | Four complete forward words with a direct live-field eight-line suffix | [Live-field review](frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/REVIEW.md) | + +[SOURCES.json](SOURCES.json) binds the exact source files. The original +proofs, reviews, programs, and freeze records remain byte-exact. The +[fresh replay](evidence/REPLAY.json) is separate from the original review +dates and from publication approval. + +## Structured response and complete minors + +The partial response has a closed 64-port Hadamard block with square +`4I`. The structured response keeps that block and uses +`E_48 = -I + K^T K/2` on the other 48 ports, where `K K^T=12I_8`. +Six complete eight-port minors partition this block. Each has Gram +`2I_8`. All 64 unions satisfy the stated selected and ordinary Gram +identities. All 20 unions of three minors give dyadic 24/24 interfaces. + +The [complete-minor theorem](frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/COMPLETE-MINOR-INTERFACES.md) +has a more general form. Let `K` consist of `d >= 4` square minors, +each with Gram `lambda I`, where lambda is a positive power of two. +Select `k` complete minors. For the response `J=I-K^T K/lambda`, the +ordinary and data maps have dyadic inverses at an interior split +`2 <= k <= d-2` exactly when both `k-1` and `d-1-k` are powers of two. +The query-preserving balanced case has `k=d/2`; it is dyadic exactly +when `d/2-1` is a power of two. This theorem concerns unions of the +specified complete minors. It does not classify irregular port sets. + +At one selected minor in the actual six-minor family, the data map has +rank 40 and an explicit eight-dimensional kernel. The source blocks +satisfy `BD=5I_8`. A dyadic observation `M` with dyadic-unit `MD` must +give stacked observation rank 16 for `[B;M]`; the proof reduces modulo +five. The rational choice `M=B/5` has rank eight instead. At five +selected minors the ordinary eight-port map is zero. These endpoint +facts do not bound the number or rank of native children. + +The actual native forward words give `Y += E X`; the backward words +give `X -= E^T Y`. The backward word is not an inverse-response word. +The partial and structured words cost 86,664 and 87,360 real scalar +primitives, respectively, in both orientations and on both providers. +Each has 3,507 native children with rank mass 5,073. + +The structured response has determinant `2^64 * 5^8`. Its full rational +inverse requires division by five. Its common-frame interface gauges +avoid that division within the stated selected split. The original +data gauges `A,A^-1` cost 2,688 each; the ordinary gauges `H,H^-1` cost +1,236 and 1,332. Version two gives the same maps at 2,368 each for +`A,A^-1` and 1,172 each for `H,H^-1`. Each word uses one serial owned +field `C0`, which starts and ends at zero. It is zero after every query. +A separate entry CLEAR, if required, costs two real primitives. These +common-frame gauges do not supply mixed-frame access or the separate +64-port gauge. + +## Positive diagonal metrics in the stated family + +The retained proof concerns the specified 42-dimensional real symmetric +response family `E=sum_i w_i S_i`. Its exact zero-diagonal witness +expands `tr(Y E D E)` for every positive diagonal `D`. All 112 coefficient +polynomials are checked. Strict positivity forces the ten coefficients +`w_32,...,w_41` to vanish. The remaining response has rank at most 64, +and the Hadamard block attains that rank. + +Thus no invertible real diagonal input and output gauges make a full +112-port orthogonal response within this family. The theorem does not +cover nonsymmetric reciprocal pairs, a larger response family, changed +native words, or a different representation. Its 42-dimensional scope +comes from the exact retained directions, not from a claim that a finite +search found all possible responses. + +## Signed pivots and data-carried centre values + +For the actual component-sign response, write +`J=G-K^T Lambda K/lambda`, where `G` is a symmetric signed permutation. +Choose selected ports `S` whose partners `T=G(S)` are disjoint from S. +If the selected and partner centre minors are dyadic units, the selected +and ordinary principal blocks `L` and `H` are dyadic units. Under +`G K^T=K^T Lambda`, a unit selected minor also gives a unit partner minor. +The [six-step factor](frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOT.md) +uses the arbitrary data in the partner fields as centre coordinates. +It restores their required ordinary output and needs no zero work field. + +For the displayed selection `S=[0,7,15,36,42,46,79,89]`, +`det(L)=det(H)=1/16`. The general two-principal-unit data interface and +its inverse are dyadic even though the full response has an odd +determinant. Literal common-frame `H,H^-1` each cost 1,648 primitives; +`A,A^-1` each cost 4,720. All four use existing data fields, with no +COPY, CLEAR, owned field, or native child. Both native response +orientations cost 87,360 primitives at mass 5,073 and 3,507 children. + +For the fixed sign pattern, the graph has six eight-cycle covers and +three covers made from two four-cycles. Its nonsingular port choices +number `6*2^7 + 3*2^6 = 960`. The checker covers all nine cycle covers +and all 256 choices per cover. This is exhaustive only for this fixed +sign pattern and cycle-cover construction. Only the displayed selection +has emitted and priced gauge words. The other 959 selections have the +algebraic guarantee. + +The component-sign family also has a sharp lower bound of eight selected +ports for a dyadic ordinary principal inverse. Jacobi's identity and +the inverse denominator give fifth-adic valuation at least `8-s` for +selection size `s<8`. The displayed sets attain eight. This bounds +selection size; it is not a native capture-rank bound. + +## Raw selected exchanges on the retained clean core + +This family uses `S=[0,7,20,27,36,46,57,111]` and the original raw +response `J=[[0,-B],[-D,I-DB]]`, with `BD=13I`. It is different from +the component-sign response in the preceding section. Physical input +is `(Qx,y)` and physical output is `(F x', F Q^-1 y')`. The formulas +retain each port operator in order. + +B0 carries the original selected X input into productive selected Y +without a new native child. F8 carries the dense ordinary query into +completed selected X and adds eight rank-one calls. B8 and B16 add one +or two eight-line corrections; F0 omits the forward input code. The +[proof](frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.md) +and review give every complete map and both orders of the B0 and F8 +content inverses. An inverse formula is not a priced native decoder. + +| Word | Real scalar primitives | Native rank mass | Children | Added rank-one calls | +| --- | ---: | ---: | ---: | ---: | +| B0 | 168,896 | 5,073 | 3,507 | 0 | +| B8 | 173,104 | 5,081 | 3,515 | 8 | +| B16 | 177,312 | 5,089 | 3,523 | 16 | +| F0 | 164,944 | 5,073 | 3,507 | 0 | +| F8 | 169,152 | 5,081 | 3,515 | 8 | + +Each row applies to both providers and includes the full retained +164,514-primitive clean core. Each added line has two explicit monomial +wrappers. The seven final CLEARs of C1 through C7 cost 14 primitives and +are included. All eight owned outputs are zero. Productive information +return does not supply a free code conversion between calls. + +## Signed-unit and oblique words on that core + +This separate signed family has `S=I-KR-Pi`, `K=R^T/4`, and the same +selected coordinates as the raw family. It is not the component-sign +matrix used for the 960 pivots. The actual identities are `RK=14I`, +`R Pi K=I`, and `P S^-1=-Pi` for `P=Pi K R`. The full S and its inverse +are dyadic. The five local forms on each provider are + +```text +F_S(x,y) = (x, y+Sx) +B_S(x,y) = (x-Sy, y) +coded F_S(x,y) = (x, S(x+y)) +coded B_S(x,y) = (S^-1 x-y, y) +oblique B_S(x,y) = ((S^-1+Pi)x-y, y-Pi x). +``` + +| Map | Real scalar primitives | Native rank mass | Children | +| --- | ---: | ---: | ---: | +| Plain signed forward or backward | 164,626 | 5,081 | 3,515 | +| Coded signed forward or backward | 171,938 | 5,081 | 3,515 | +| Oblique backward | 172,050 | 5,089 | 3,523 | + +Each bill includes the retained clean core and literal boundary work. +A signed boundary has eight new rank-one calls and sixteen wrappers; +the oblique word has two such boundaries. C0 returns to zero, while +unused C1 through C7 retain their arbitrary inputs. This differs from +the raw words' explicit eight-zero-output contract. A coded target can +leave holes; it is not automatically a mixed retiring target. + +## Direct phase on eight current live fields + +This suffix uses the changed signed response and the selection +`[0,7,15,36,42,46,79,89]`. It acts directly on the eight current selected +X fields after the forward word. First apply positive Q, then subtract +`L Y_S + B X_U` from selected X at the completed view. The actual source +values are `Y_S=q d` and `X_U=k`; d is arbitrary. The complete output is + +```text +physical X = (Qh,k), physical Y_S = q d, +logical Y_U = H(v+k)+D q d (balanced), +logical Y_U = v+Hk+D q d (raw). +``` + +The exact identity `Q_v=P_G Q_e0 P_G^-1` gives each new live-field call. +All translations commute, so `Q_v F=F Q_v` with the full global phase. +The fresh independent check covers all 4,096 recipe columns and all +4,096 FULL-commutation columns. It also checks arbitrary current d in +each of the four complete words. No Q is moved through L, B, D, or H. + +The final scaled subtraction costs 1,312 real primitives, compared with +1,600 for the direct form. Complete raw and balanced words cost 89,088 +and 92,784, respectively. Each has 3,515 children and rank mass 5,081, +with profile `2441H1+724H2+228H3+102H4+20H5`. Relative to its preceding +word, the suffix adds eight H1 calls and sixteen pure-permutation +wrappers. It uses no new owned or private field. The wrappers remain +explicit and are not included in the scalar subtotal. Their global +descriptor and access costs remain open. + +## Replay and evidence limits + +Use Python 3.11 or later and the standard library. Run one process and +keep at least 3 GiB free disk space. Use a new output directory outside +the annex: + +```sh +python3 -I -B replay.py --out /tmp/selected-interface-families-annex +``` + +The final line must be: + +```text +PASS_SELECTED_INTERFACE_FAMILIES_ANNEX +``` + +The runner copies the 133 pinned files to a new scratch tree with the +original relative layout. It runs six original independent checks in +normal and optimized Python. Every new receipt must match its frozen +bytes. Compressed source containers and their decompressed payloads are +both checked. No source or import adaptation is used. + +The checks cover 36 complete local words per mode, each with all 640 +arbitrary live and owned input columns, including 408 borrowed helpers. +They also check the 91 private zero-buffer lifetimes, stated owned +outputs, exact scalar frames and costs, both interface inverse orders, +the finite geometry families, and the new signed-line kernels. Negative +controls reject omitted exchanges, wrong line signs, wrong oblique +returns, borrowed-helper clears, and missing live-field subtraction. + +The [retained core-phase review](frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md) +supplies the unchanged core's orientation-specific phase records and +helper wrappers. This annex replays the complete ordered words and new +line kernels. It does not rerun that core-phase suite, the parent suite, +or the original emitters and their source-generation toolchain. The +formal warp replay and retained phase proof have separate roles. + +## Open next questions + +Literal gauges and native access for the other 959 algebraic signed +selections remain open. A complete caller must also supply routed +transitions, physical source access, paired exterior phases, endpoint +decoding, helper-owner histories, recursive child hosting, wrapper +costs, storage, and precision. The local bills cannot be inserted into +a supplier recurrence without those proofs. Applicability to the +current selected supplier is not established. + +[ANNEX-MANIFEST.json](ANNEX-MANIFEST.json) binds this annex separately. +[NOTICE.md](NOTICE.md) retains the source credit and license. Frozen +pending-review and publication-authority sentences record their original +historical stage. 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"centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 5 + } + ], + "checker_sha256": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "status": "PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/normal/stdout.log b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/normal/stdout.log new file mode 100644 index 0000000000..88ad625827 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/normal/stdout.log @@ -0,0 +1 @@ +PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/INTERFACES.json b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/INTERFACES.json new file mode 100644 index 0000000000..21a9bcf44a --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/INTERFACES.json @@ -0,0 +1,68 @@ +{ + "cases": [ + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 0 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 1 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 2 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 3 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 4 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 5 + } + ], + "checker_sha256": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "status": "PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/stdout.log b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/stdout.log new file mode 100644 index 0000000000..88ad625827 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/minor-endpoints/optimized/stdout.log @@ -0,0 +1 @@ +PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/REVIEW.json b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/REVIEW.json new file mode 100644 index 0000000000..b2e2777657 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/REVIEW.json @@ -0,0 +1,204 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "method": "Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.", + "providers": { + "base": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + }, + "extra": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + } + }, + "scope": "Local operator-coded maps and complete local costs, with exact core native and signed-line dependencies. Inter-call code conversion, exterior caller phases, controller, legal owner/hosting, precision, and full supplier remain separate.", + "source_pins": { + "CLEAN-J-PROGRAMS.json.gz": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "RAW-SELECTED-TRANSFER.json": "da1831b17a79a4fd9ebe689d4f76e357bc912eda1e6b252818a7ef5685b1a739", + "RAW-SELECTED-TRANSFER.json.gz": "bc9fab3bc7c849da7eb055a9d7340bf110c11cdd54da049a8297a1324bfa54b1", + "RAW-SELECTED-TRANSFER.md": "53d8663fab6c1a6999fbc29ac310675fbea2b45f607f2f702af9787305c4ab03", + "emit_raw_selected.py": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc" + }, + "status": "PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER", + "two_sided_inverse_checks": { + "B0": "both orders in the free Q algebra", + "F8": "both orders in the free Q algebra" + } +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/stdout.log b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/stdout.log new file mode 100644 index 0000000000..584a3fb34e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/normal/stdout.log @@ -0,0 +1,11 @@ +base B0 PASS 168896 5073 +base B16 PASS 177312 5089 +base B8 PASS 173104 5081 +base F0 PASS 164944 5073 +base F8 PASS 169152 5081 +extra B0 PASS 168896 5073 +extra B16 PASS 177312 5089 +extra B8 PASS 173104 5081 +extra F0 PASS 164944 5073 +extra F8 PASS 169152 5081 +PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/optimized/REVIEW.json b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/optimized/REVIEW.json new file mode 100644 index 0000000000..b2e2777657 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/raw-words/optimized/REVIEW.json @@ -0,0 +1,204 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "method": "Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.", + "providers": { + "base": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + }, + "extra": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + } + }, + "scope": "Local operator-coded maps and complete local costs, with exact core native and signed-line dependencies. 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b/research/raw-selected-centre-units/annexes/selected-interface-families/evidence/replay/structured/optimized/stdout.log @@ -0,0 +1,3 @@ +partial four native words and full invoice pass +structured four native words and full invoice pass +PASS_INDEPENDENT_STRUCTURED_CENTRE_REVIEW all64minor subsets;20balanced dyadic interfaces diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/dyadic-query-separation-review-20261018/REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/dyadic-query-separation-review-20261018/REVIEW.md new file mode 100644 index 0000000000..f5f105c5ee --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/dyadic-query-separation-review-20261018/REVIEW.md @@ -0,0 +1,276 @@ +# Independent review of dyadic query separation + +The universal query-separation theorem passes this review. The actual +eight-centre B matrix has full row rank modulo 13. Every dyadic M for +which MD has a dyadic two-sided inverse therefore gives a stack `[B;M]` +of rank sixteen. The full-null family applies to general M; it does not +require MD=I. The matched choice M=B/13 has rank eight and MD=I. + +This is a theorem about the rank of fixed linear observations in the +stated output partition. Postprocessing may be nonlinear. The theorem +does not bound native children, concurrent scratch fields, arbitrary +nonlinear encodings, or packing on one bounded finite input domain. It +does not prove that the old-stage B query is cheap or physically available. + +## Sources and independent method + +The producer source is +[DYADIC-QUERY-SEPARATION-20261018.md](../../../root/DYADIC-QUERY-SEPARATION-20261018.md), +SHA256 `664f430efd099f35cbc7c2abc8025968c03020707027857d2882daa51a065a1a`. +The source criterion is +[UNIT-COMPLETION.md](../../oblique-native-20261017/minor-input-log/UNIT-COMPLETION.md), +and the terminal class is +[MINOR-LOG-SOURCE-ACCESS.md](../../controller-followthrough-20261017/MINOR-LOG-SOURCE-ACCESS.md). +All proof and checker pins are in [REVIEW.json](REVIEW.json). + +The independent checker reads the actual R entries from the pinned +decompressed `CLEAN-J-PROGRAMS.json.gz` payload, SHA256 +`a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa`. +It derives the selected inverse by exact elimination. It then derives B +and D and checks the actual minor inverses. It imports no producer module. +Its modular rank check builds a column basis instead of using the +producer's row reduction. + +The exact actual sparse stack has a nonzero 16-by-16 minor with columns + +```text +[1,2,3,4,5,6,8,12,21,37,47,76,81,87,92,110] +``` + +and determinant 1/8. The checker also checks 24 different logs for which +MD is a nonidentity dyadic unit. Thus the independent examples are not +limited to sections with MD=I. A Gaussian two-coordinate route fixture +uses noncommuting unit routes and has stack rank 32 after reduction. +The finite fixture is not a replay of the complete global native schedule. + +## Residue proof and rank lift + +Let R be a commutative ring with a unital map phi to a field k. Suppose +B is r by n, D is n by r, and M is r by n, all over R. Assume + +```text +BD=cI, phi(c)=0, +rank_k phi(B)=r, +MD is a unit in Mat_r(R). +``` + +Apply phi entrywise. Since a matrix inverse over R maps to its inverse +over k, `phi(MD)` is invertible. If + +```text +alpha phi(B)+beta phi(M)=0, +``` + +right multiplication by `phi(D)` gives `beta phi(MD)=0`. Hence beta +is zero. The full row rank of `phi(B)` then makes alpha zero. This +proves row rank 2r over k and also implies `n>=2r`. It does not assume +MD is identity, that B and M commute, or that R is a field. + +For the fraction-field conclusion, assume R is an integral domain. +Some 2r-by-2r determinant has nonzero image under phi. Its determinant +over R is therefore nonzero. The same determinant remains nonzero in +the fraction field. Thus the stack has rank 2r there. In fact this +step needs no extra property of a residue map beyond the stated ring +homomorphism and integral-domain hypothesis. + +Both hypotheses have a role. If MD is only invertible over Q, choose +M=B in the actual example. Then MD=13I, but `[B;M]` has rank eight. +If full residue rank of B is dropped, the scalar example B=13, D=M=1 +has a unit MD and a rank-one stack. If the condition phi(c)=0 is +dropped, B=D=M=1 gives the same failure. These are failures of the +weakened hypotheses, not exceptions to the theorem. + +## Binding to the actual canonical and routed matrices + +Use the actual selected minor +`A=[0,7,20,27,36,46,57,111]` and ordinary minor +`T=[21,37,47,76,81,87,92,110]`. Direct calculation gives + +```text +B=R_A^-1 R_U, +D=R_U^T (R_A^-1)^T, +BD=13I. +``` + +The inverse of B restricted to T and the inverse of D restricted to T +are both dyadic. The checker verifies both orders of each inverse. +Reducing the B minor modulo 13 preserves its inverse. Thus B has full +row rank eight over F_13. This proves the actual application for every +dyadic M with a dyadic unit MD, without an enumeration of all M. + +For finite routed arrays, let each field have ell complex coordinates. +Flatten every ordered operator to its complete finite matrix over +`Z[i,1/2]`. The map + +```text +i -> 5, 1/2 -> 7, integers -> F_13 +``` + +is well defined, because `5^2=-1` and `2*7=1` in F_13. Every proved +Gaussian-dyadic inverse maps to an inverse. The complete identities +`BD=13I` and the inverse-minor identities therefore give the hypotheses +with r replaced by 8ell and n by 104ell. The stack has rank 16ell. + +This argument uses the full finite matrices. A ring of ell-by-ell +operators is not itself being called a field. Flattening puts the rank +argument over the commutative scalar residue field. No Q, frame change, +or port route moves through B, D, or M. If an intended physical map +does not have the stated ordered identities and Gaussian-dyadic +inverses, it has not met the theorem's hypotheses. + +## The source unit condition for general MD + +The mixed-source part of the local map, in source variables beta=qb +and v, is + +```text +w=-D beta-v+DMv, +d=Mv. +``` + +The invertible output changes `f0=-w+Dd` and `g=d-Mf0` give + +```text +f0=v+D beta, +g=-MD beta. +``` + +The input change from `(beta,v)` to `(beta,v+D beta)` is invertible. +After component reordering, the source map is therefore equivalent +to `diag(I,-MD)`. That map is a unit exactly when MD is a two-sided +unit. This proves the criterion over the ordered operator ring as +well as over a field. A zero-kernel test alone would not prove this +ring-level statement. + +## Full-null family for arbitrary M + +Let q=Q^-1, and choose an arbitrary ordinary vector v. Put all later +pair inputs to zero. For pair zero, set + +```text +original x_U=(I-DB)v, +original y_U=DBv, +Qa=-Mv, +original b=-QBv+qMv. +``` + +The first full shear gives incoming ordinary Y equal to v. Since +`a=-qMv`, its selected source value becomes `-QBv`. Thus the backward +call gives + +```text +d=Qa+Mv=0, +h=q(-QBv)+Bv=0, +w=(I-DB)v-v+D(0-q(-QBv))=0. +``` + +These cancellations use only qQ=I and Qq=I. They do not use MD=I, +MD invertibility, or BD=13I. The independent checker verifies this +in free operator words with only those two inverse relations. It +also rejects removal of the original-b term qMv. + +Every selected exchange acts on zeros. The raw or corrected forward +call leaves retired ordinary Y equal to v. The bridge to the next +ordinary bank is `-v+v=0`. Every later pair and the final completed-X +triangle therefore remain zero, for every pair count. + +The required original selected data and ordinary source values include +`-Mv` and `DBv`. Their destination fields are zero on this family. +The terminal obtains all other information about v only through the +fixed linear observation Nv. If Nv=0, these destination outputs must +match the zero-input outputs. Hence Mv=0 and DBv=0. Over Q or Q(i), +BD=13I makes D injective, so DBv=0 is equivalent to Bv=0. Therefore + +```text +ker N is contained in ker B intersect ker M. +``` + +For finite vector spaces, this condition is equivalent to a linear +factorization `[B;M]=LN`. Define L on the image of N by `L(Nv)=[B;M]v`; +the kernel condition makes it well defined. Extend L to the observation +space. It follows that `rank N>=rank[B;M]`. This proof permits arbitrary +nonlinear postprocessing of N: postprocessing cannot distinguish two +inputs with the same N value. + +If N returns q complete fields of ell coordinates, its rank is at most +qell. Thus q must be at least sixteen for a dyadic-unit log. Cross-pair +queries do not help this family: restrict N to the first ordinary bank. +The count is total independent observation rank. It is not a claim +that sixteen scratch fields must be live at the same time. + +The argument does not require recovery of every coordinate of v from N. +The retained ordinary Y can keep its unobserved contents and receive +known corrections. The displayed kernel condition is a necessary source +condition; it does not prove a full decoder. If the underlying inputs +are Gaussian dyadic, a finite rational kernel witness can be cleared +of denominators and scaled by a power of two. It then gives admissible +dyadic witnesses in a uniform all-precision model. The argument is not +a lower bound for precision-dependent packing of one bounded finite set. + +## Exact odd division and a sharper consequence + +For M=B/13, the equation MD=I holds and the stack has rank eight over +the fraction field. Its rank is exactly eight because B has an invertible +minor. This M lies outside the dyadic ring, and its entries cannot be +reduced modulo 13. The independent checker verifies both facts. The +existing common-grid theorem supplies exact division by 13 only under +its exact-child, all-numeric-stream root conversion, arbitrary-borrowed +input, binary-guard, and final dyadic-endpoint conditions. + +The argument has a stronger coefficient-ring consequence. Suppose B +has an invertible r-column minor over an integral domain R, BD=cI +with nonzero c, and `[B;M]` has fraction-field rank r. Then + +```text +M=T B, +T=M_minor (B_minor)^-1 lies in Mat_r(R), +MD=cT. +``` + +If MD is a unit over R, then `T(MD)^-1` is in Mat_r(R), and c times +this matrix is identity. A diagonal entry therefore gives an inverse +of c in R. Conversely, if c is a unit, M=B/c has MD=I and stack rank r. +Thus a unit log with only r independent query rows exists exactly when +c is a unit in the coefficient ring. + +For the actual construction, an eight-query unit log consequently +requires inversion of 13. Rational divisions with denominators coprime +to 13 leave the residue map intact and still force sixteen queries. +In particular, division by three alone does not resolve this query +obstruction. Under the normalization MD=I, the rank-eight choice is +uniquely M=B/13. More generally it is `M=K B/13` for a unit K=MD. + +This also gives a scheduling alternative. In the ring with 13 inverted, +one may take the dyadic initial log M=B, leave K=13I, and use +`K^-1=I/13` in the general source-code formulas. This moves the odd +normalization from the initial log to the decoder. It does not remove +the required B query or establish a cheaper physical implementation. + +## Reproduction and status + +Run from the workspace root: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/dyadic-query-separation-review-20261018/check_review.py +``` + +Expected status: + +```text +PASS_INDEPENDENT_DYADIC_QUERY_SEPARATION +``` + +The independent checker passed. The producing checker and receipt were +pinned and read; this review did not rerun its entry point because that +entry point writes the frozen producer receipt. No material defect was +found in the stated theorem. The coefficient-ring characterization above +is a direct consequence proved in this review. + +The cheap implementation of the remaining old-stage query, target +scatter, phases, recursive admission, complete decoder, and supplier +moment remain open. No native-child lower bound or kappa result follows. +This review used substantial OpenAI Codex assistance. + +No PR, push, or publication commit is authorized. Before a future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/FREEZE.json new file mode 100644 index 0000000000..36d1034dd5 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/FREEZE.json @@ -0,0 +1,17 @@ +{ + "artifacts": { + "PEER-CHECK.md": "2510740cc702a0cb778d062799811506704ff95169f9e6c94f8354a6ca4b4b0f", + "PRODUCER-REPLAY.json": "d0a31fd767d3226c831c06d284c4844a76831f29f57ff3d48b744d1a85b01541", + "REVIEW.md": "8706eab1edcdee80360de95b097e8265a613fca991658a2304f4d3909482036c", + "SIGNED-PIVOT.md": "c6383da8691f23fd158abd9f9fd8d85b92aaabdd618a61ee225227b8df1b2286", + "SIGNED-PIVOTS.json": "1149750db937f4012be457256bc39a552bd887713a191e6b2f3d143874b61d5b", + "check_signed_pivots.py": "10de5cc6eef98bc5e3b2c919f7613e78de72619f475375b1d8841818fd5bf421", + "producer-replay/BIPARTITE-EIGHT-PROGRAM.json.gz": "b2fb08cb6325003cf1fa8eaa7bd29279a437ddfc5b9bd0d24561959cd829c01f", + "producer-replay/BIPARTITE-EIGHT.json": "da5e354b51adb14447d073fb7867902398686471d8592d1c90860ca4aec25771", + "replay_producer.py": "30476e6a77663eee5a22b67014d0ed8fd25eee333041ea26242e0f5d98c9dd16" + }, + "producer_freeze_sha256": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "schema": "independent-signed-pivot-review-v1", + "scope": "Actual signed native response and common-frame scalar gauges for the displayed8port set; signed-pivot and cycle-cover theorems. No complete physical boundary, routed supplier, decoder, recursive precision, or kappa claim. No PR, commit, push, or publication.", + "validation": "Independent pair-column derivation, both principal inverse orders, six-step ordinary factor, data interface and inverse, four native640column replays, four literal112column scalar gauge replays, exact invoices, all9cycle covers and960nonsingular port choices, separate peer proof check and cover count, unchanged producer byte-identical replay." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PEER-CHECK.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PEER-CHECK.md new file mode 100644 index 0000000000..dd3513fc58 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PEER-CHECK.md @@ -0,0 +1,29 @@ +# Separate proof review of the signed-pivot extension + +The bridge-review worker derived the general two-principal-unit data +interface and the six-step ordinary gauge. The controller-followthrough +worker then checked the ordered block products independently. The check +confirmed the displayed inverse, all signs, and the arbitrary-input +ordinary outputs. No commutation of a line operator with a scalar +matrix is used. + +The controller-followthrough worker also read `SIGNED-PIVOT.md` and +checked the signed permutation relation, the selected-partner theorem, +and the signed cycle incidence construction. For the actual graph, that +worker counted covers by complements of perfect matchings in +`K_4,4` minus a perfect matching. This differs from the review checker's +enumeration of eight-edge sets. The independent count gives six +eight-cycles and three pairs of four-cycles. One parity condition per +cycle gives `6*128+3*64=960` distinct nonsingular selected sets. + +No material issue was found in those new proof statements. The sharp +eight-port lower bound was independently derived by the budget-geometry +worker and was checked here from the exact inverse and determinant. + +The controller-followthrough worker produced the literal native and +gauge words. The bridge-review worker verified those words with a +separate interpreter and independently derived target matrices. Thus +the producer did not supply its own independent implementation approval. + +These are internal research checks. They are not maintainer approval +or a publication. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PRODUCER-REPLAY.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PRODUCER-REPLAY.json new file mode 100644 index 0000000000..5e6542f99d --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/PRODUCER-REPLAY.json @@ -0,0 +1,14 @@ +[ + { + "byte_equal": true, + "name": "BIPARTITE-EIGHT.json", + "sha256": "da5e354b51adb14447d073fb7867902398686471d8592d1c90860ca4aec25771", + "source_unchanged": true + }, + { + "byte_equal": true, + "name": "BIPARTITE-EIGHT-PROGRAM.json.gz", + "sha256": "b2fb08cb6325003cf1fa8eaa7bd29279a437ddfc5b9bd0d24561959cd829c01f", + "source_unchanged": true + } +] diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/REVIEW.md new file mode 100644 index 0000000000..42f8f44e90 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/REVIEW.md @@ -0,0 +1,167 @@ +# Independent review of the signed eight-port interface + +The changed native response and its four common-frame gauge words pass +this review. They give a dyadic data interface with eight selected ports, +where the earlier complete-minor interface had an eight-dimensional +data kernel. The ordinary gauge carries centre information in eight +existing ordinary data fields. It needs no added owned field. + +This is a local native construction and an algebraic interface theorem. +The selected physical boundary, routed source access, stage controller, +terminal decoder, recursive precision, and complete supplier bill remain +separate. No complete kappa improvement is asserted. + +## Frozen inputs + +The producer packet is +`controller-followthrough-20261017/bipartite-eight-20261018`. Its +freeze hash is + +`c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1`. + +The decompressed native payload has hash + +`0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee`. + +The independent derivation starts from the earlier pair geometry, +`partial-orthogonal/SYMMETRIC-FAMILY.json`, with hash + +`77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2`. + +The checker verifies every producer artifact. It also verifies the +preceding independent review freeze before it reuses that review's +exact matrix functions, native interpreter, and scalar cost function. +It imports no producer code to derive or check the signed maps. + +## Independent algebra + +`SIGNED-PIVOT.md` gives the proof. Starting from the actual signed pair +columns, the checker constructs all eight orthogonal vertex projectors, +their complete 48-port decomposition, and the centre rows `K`. It then +forms `G` from the signs `(1,-1,1,-1,1,-1,1,-1)`. + +The actual `G` is a symmetric signed permutation. It satisfies +`G K^T=K^T diag(alpha)`. The response on 48 ports is + +`J=G-K^T diag(alpha)K/2`. + +For `S=[0,7,15,36,42,46,79,89]`, its selected and ordinary principal +blocks `L` and `H` each have determinant `1/16`. Both inverses are +dyadic. The full 48-port determinant is `5^8`; the complete 112-port +determinant is `2^64*5^8`. Both rational inverse orders are checked. + +The partner ports, ordered by `G(S)`, are +`[27,57,53,111,105,20,94,72]`. The corresponding small matrix `K_T` +has determinant `-4`. The six-step factor in `SIGNED-PIVOT.md` transforms +these ordinary data fields to centre coordinates, performs the two +shears, and returns the required ordinary output. Its direct expansion +is checked on all 40 arbitrary ordinary input columns. + +For a general block response `J=[[L,B],[D,H]]`, the corrected data map is + +```text +A = [[-L+B H^-1 D, -B H^-1], + [-H^-1 D, H^-1]], + +A^-1 = [[-L^-1, -L^-1 B], + [-D L^-1, H-D L^-1 B]]. +``` + +Both actual inverse orders hold exactly, and `det(A)=1`. This depends +on the two principal blocks being dyadic units. It does not require +the full response to be a dyadic unit. The raw borrowed-source formula +keeps the selected line operator in place; the proof does not commute +it through `A`, `B`, or `D`. + +## Literal native words and gauges + +The reviewer executes both orientations on both providers, with all +640 input columns independent. It checks the full response, all 408 +arbitrary borrowed helpers, eight owned zero outputs, endpoint frames, +and all 91 private zero-buffer lifetimes. Every native, adapter, and +zero-buffer record is unchanged from the pinned clean core. The initial +descriptive phase label changes; all other phase labels are unchanged. +The ordered-word identity holds for arbitrary invertible warp operators, +so it also holds for their actual phase-correct realizations. + +Each native word costs 87,360 real scalar primitives, with 3,507 native +children and rank mass 5,073. Its profile is +`{1:2433,2:724,3:228,4:102,5:20}`. The backward word gives the negative +transpose of `J`; it is not a native inverse word. + +The reviewer separately executes every scalar gauge on 112 arbitrary +data columns. The target matrices come from the independent derivation, +not from the producer's gauge maps. All gates are dyadic ADDs or +dyadic-unit SCALEs between existing data fields. There are no COPYs, +CLEARs, owned fields, or native calls in these gauge words. + +| Gauge | Real scalar primitives | Extra owned fields | Native children | +| --- | ---: | ---: | ---: | +| `H` | 1,648 | 0 | 0 | +| `H^-1` | 1,648 | 0 | 0 | +| `A` | 4,720 | 0 | 0 | +| `A^-1` | 4,720 | 0 | 0 | + +All signed exchanges in the factor are emitted and charged. The other +64 ports are unchanged by these four words. Their separate Hadamard +gauge remains outside this packet. The price is a local scalar invoice; +it cannot be added to a supplier recurrence without a physical schedule. + +## Generality and limits + +The signed-pivot theorem applies whenever a signed permutation pairs a +selected set with disjoint ordinary partners and the selected centre +minor is a dyadic unit. The actual graph gives a family of 960 such +eight-port selections. The exact checker covers all nine cycle covers +and all 256 port choices per cover. It finds six eight-cycle covers +and three pairs of four-cycles, with one nonsingularity condition per +cycle. A second worker counted the covers by a different method. + +This enumeration is exhaustive only within that construction and fixed +sign pattern. It is not an enumeration of all eight-port subsets or +all native responses. The literal gauge words are emitted and priced +for the displayed selected set. The other 959 sets have the algebraic +guarantee; their scalar words and physical boundaries were not replayed. + +The inverse of every response in the component-sign family has entries +in `(1/5) Z[1/2]`, while its determinant has fifth-adic valuation eight. +Jacobi's complementary minor identity shows that fewer than eight +selected ports leave an ordinary determinant divisible by five. Thus +eight is sharp within this family. This is a selection-size bound. It +is not a native capture-rank bound, and it does not exclude the separate +rank-seven capture constructions. + +The earlier obstruction for small subsets of the fixed positive response +remains valid. This packet changes the component signs. The earlier +positive-diagonal-metric obstruction also remains valid: these gauges +are not diagonal orthogonalizations of the full response. + +## Checks and conclusion + +Run from the workspace root: + +```text +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/signed-centres-review-20261018/check_signed_pivots.py +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/signed-centres-review-20261018/replay_producer.py +``` + +The expected markers are `PASS_INDEPENDENT_SIGNED_PIVOTS` and +`SIGNED_PRODUCER_OUTPUTS_BYTE_EQUAL`. The second check runs the unchanged +producer and redirects only its two declared outputs to this review +directory. The reproduced receipt and compressed payload must be +byte-identical to the frozen outputs. + +No material finding remains in the scoped claims. The common physical +frame is a premise of all scalar gauge words. The raw selected exchange +is a premise of the data-interface interpretation; it is not emitted +by this packet. No complete routed supplier, terminal decoder, recursive +width proof, or kappa calculation was run. + +This is AI-assisted review and research. It builds on the +controller-followthrough signed native response, oblique-native pair +geometry, new-core-transfer native core, and budget-geometry valuation +bound. The bridge-review worker derived the general data-interface and +six-step ordinary factor; controller-followthrough independently checked +those proofs and emitted the literal words. The reviewer then verified +the implementation independently. No PR, commit, push, or publication +was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOT.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOT.md new file mode 100644 index 0000000000..e75c4a65f7 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOT.md @@ -0,0 +1,237 @@ +# An eight-port signed response with dyadic principal pivots + +The signed component response has a local interface that the unsigned +complete-minor response does not have. Its selected and ordinary +principal blocks are both dyadic units with eight selected ports. The +full response can still have an odd determinant. + +The ordinary gauge also has an implementation that uses ordinary data +fields as its centre registers. Those fields have arbitrary input values. +No new centre bank is needed for this algebraic factorization. + +## Signed pivot theorem + +Let `R=Z[1/2]`. Let `K` be an `r` by `n` matrix over `R`, and let +`Lambda` be a diagonal `r` by `r` matrix with entries `1` or `-1`. +Let `G` be a symmetric signed permutation matrix. Let `lambda` be a +positive power of two. Define + +`J = G - K^T Lambda K/lambda`. + +Select `r` ports `S` such that `G_SS=0`. Let `T=G(S)` be their physical +partner ports. Then `T` is disjoint from `S`; it also has `r` ports. +Let `W` contain the other ports. The matrix `G` pairs `S` with `T` and +acts as a signed permutation `G_W` on `W`. + +Suppose both square matrices `K_S` and `K_T` are dyadic units. Then +the two principal blocks `L=J_SS` and `H=J_UU`, where `U=T union W`, +are dyadic units. In particular, + +`L = -K_S^T Lambda K_S/lambda`. + +The ordinary block has the factorization + +```text +H = [ I 0 ] + [ K_W^T K_T^-T I ] + diag(-K_T^T Lambda K_T/lambda, G_W) + [ I K_T^-1 K_W ] + [ 0 I ]. +``` + +Multiplication gives each block of `G_UU-K_U^T Lambda K_U/lambda`. +The outer two factors are shears. Every diagonal factor is a dyadic +unit. This proves the claim without division by the odd determinant +of the full response. + +If the additional relation `G K^T=K^T Lambda` holds, it suffices to +assume that `K_S` is a dyadic unit. The rows indexed by `S` give +`G_ST K_T^T = K_S^T Lambda`, so `K_T` is also a dyadic unit. + +## Centre information carried in ordinary data fields + +Write the ordinary input as `(t,w)`. The factorization has this shorter +ordered word: + +```text +1. t <- K_T t +2. t <- t + K_W w +3. t <- -Lambda t/lambda +4. w <- G_W w +5. w <- w + K_W^T t +6. t <- K_T^T t +``` + +Its outputs are + +```text +t_out = -K_T^T Lambda(K_T t_in + K_W w_in)/lambda, +w_out = G_W w_in - K_W^T Lambda(K_T t_in + K_W w_in)/lambda. +``` + +These are exactly the rows of `H`. Every step is invertible over `R`. +Reversing the steps gives `H^-1`. The `r` fields `t` are data fields, +not zero work fields. Their initial values enter the query and their +final values are the required `H` outputs. No value is erased. + +All steps require a common physical frame. The theorem does not give +access to a retired source bank or permit fields with different frames +to be added. A literal implementation must price the two small unit +maps, both shears, the diagonal scale, and the signed permutation. + +## Why the two principal units give an invertible data interface + +Write a general response in selected and ordinary blocks as + +`J = [[L,B],[D,H]]`. + +The retained raw backward formula, with selected physical input `z`, +ordinary data input `u`, selected borrowed input `b`, and ordinary +borrowed input `v`, is + +```text +X_S = q b - L z - B v, +X_U = u - D z - H v. +``` + +Keep the line operator `q` in its written position. First apply `H^-1` +to ordinary X, then subtract `B` times that updated ordinary X from +selected X. The borrowed response is `diag(q,-I)`. The data response is + +```text +A = [ -L+B H^-1 D -B H^-1 ] + [ -H^-1 D H^-1 ]. +``` + +If `L` and `H` are dyadic units, then so is `A`, with + +```text +A^-1 = [ -L^-1 -L^-1 B ] + [ -D L^-1 H-D L^-1 B ], + +det(A) = (-1)^|S| det(L)/det(H). +``` + +Both products can be checked without any commutation assumption. One +factorization of `A` is + +`upper(-B) diag(-L,H^-1) lower(-D)`. + +Thus the selected and ordinary principal units are sufficient. The +full response `J` need not be a dyadic unit. This is the exact place +where the signed response can avoid the earlier one-minor data kernel. +The local formula does not by itself give a routed controller or terminal +decoder. + +## Actual eight-centre instance + +The source is the pinned pair geometry in the preceding structured-centre +review. Its eight vertex mode spaces have orthogonal projectors `P_v` +of rank six. Their sum is the identity on the 48-port block. Each centre +row `K_v` lies in its vertex space, and `K K^T=12I_8`. + +Take signs `alpha=(1,-1,1,-1,1,-1,1,-1)`, put +`Lambda=diag(alpha)`, and set `G=sum_v alpha_v P_v`. The actual pair +geometry makes `G` a symmetric signed permutation. It satisfies +`G K^T=K^T Lambda`. The signed response is + +`J_alpha = G - K^T Lambda K/2 = G(I-K^T K/2)`. + +Use + +```text +S = [0,7,15,36,42,46,79,89], +T = [27,57,53,111,105,20,94,72]. +``` + +The order on `T` follows the partners of the displayed order on `S`. +Exact calculation from the pair columns gives + +```text +det(K_S) = det(K_T) = -4, +det(J_alpha,SS) = det(J_alpha,UU) = 1/16, +det(J_alpha) = 5^8, +det(A) = 1. +``` + +Every row of `K_W` has eight signed unit entries. The six-step word +therefore forms the eight centre values in eight existing ordinary +fields. The independent 40-column expansion equals the actual ordinary +principal block. The other 64 ports of the native response are a separate +Hadamard block and need their own gauge. + +For a second determinant proof, use + +`J_alpha^-1 = G - K^T Lambda K/10`. + +Since `G_SS=0`, its selected block is `J_alpha,SS/5`. The complementary +minor identity then gives equal selected and ordinary determinants in +this 48-port instance. This identity concerns the block of 48 ports; +the complete 112-port response has the additional Hadamard determinant. + +## A graph construction for more signed pivot sets + +Each physical pair of ports belongs to one edge of the eight-vertex +pair graph. The two pair modes at its endpoints are orthogonal and have +norm squared two. If the endpoint signs `alpha` differ, `G` swaps the +two physical ports, with a possible sign. If the signs agree, `G` is +diagonal on that physical pair. + +Choose a cycle cover using only edges whose endpoint signs differ. +Choose one physical port from each selected edge. Then `G_SS=0`, and +`K_S` is a signed incidence matrix of the cycle cover. Each column has +two signed unit entries. In a cycle of length `ell`, its determinant +is the sum of the two matching terms. It is either zero or `2` or `-2`. +Choosing the other physical port of one edge changes the relative sign +of those two terms. Thus each cycle can be made nonsingular. With `c` +cycles, `det(K_S)=+/-2^c`, which is a dyadic unit. + +The selected edges cross the sign partition, so these cycles are even. +In the actual sign pattern, the cross-edge graph is `K_4,4` minus a +perfect matching. The displayed selection consists of two nonsingular +four-cycles. This explains its determinant of magnitude four and gives +a family of signed eight-port pivot sets, rather than a numerical +accident at one set. + +For this fixed sign pattern, the cross-edge graph has nine cycle covers: +six single eight-cycles and three pairs of four-cycles. Each cycle gives +one independent parity condition on its port choices. The resulting +number of nonsingular selected sets is + +`6 * 2^7 + 3 * 2^6 = 960`. + +The checker enumerates all eight-edge covers and all port choices within +each cover. A separate peer check derives the same nine covers from the +complements of the graph's perfect matchings. This is exhaustive within +the stated cycle-cover construction. It is not an enumeration of all +eight-port subsets of the 48-port block. + +## The sharp selection size in the component-sign family + +The sign family retains the eight eigenvalues whose magnitude is five. +Thus its determinant on 48 ports is `5^8`, for every component sign +choice. The displayed inverse formula puts every inverse entry in +`(1/5) Z[1/2]`. For a selected set of size `s`, the determinant of its +principal inverse block lies in `5^-s Z[1/2]`. Jacobi's identity gives + +`det(J_UU) in 5^(8-s) Z[1/2]`. + +For `s<8`, this cannot be a dyadic unit, including when it is zero. +Therefore a dyadic ordinary inverse requires at least eight selected +ports throughout this component-sign family. The signed pivot sets +attain the bound. The same argument applies with the separate dyadic +Hadamard block present. It concerns the selection size, not the rank +of a native centre capture or the number of native children. + +This graph theorem gives an algebraic construction from the stated pair +geometry. An emitted native response is still required for the chosen +component signs. A complete supplier also needs the selected physical +exchange, all frame transitions, source access, restoration, recursive +width, and total cost. + +This is AI-assisted research. It uses the controller-followthrough +signed response, the oblique-native pair geometry, and the earlier +raw backward interface. The six-step ordinary factor was derived in +bridge-review and independently checked by controller-followthrough. +The sharp selection-size bound was independently derived in +budget-geometry and checked here from the inverse and determinant. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOTS.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOTS.json new file mode 100644 index 0000000000..0db0967ff2 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/SIGNED-PIVOTS.json @@ -0,0 +1,537 @@ +{ + "checker_sha256": "10de5cc6eef98bc5e3b2c919f7613e78de72619f475375b1d8841818fd5bf421", + "data_arbitrary_input_columns": 48, + "data_determinant": 1, + "exact_cycle_covers": [ + { 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+ 71, + 90 + ], + [ + 72, + 89 + ], + [ + 78, + 99 + ], + [ + 79, + 94 + ] + ], + "valid_selected_sets": 64 + } + ], + "gauge_reports": { + "data": { + "arbitrary_input_columns": 112, + "extra_owned_fields": 0, + "native_children": 0, + "operations": { + "add": 502, + "scale": 51 + }, + "real_scalar_primitives": 4720 + }, + "data_inverse": { + "arbitrary_input_columns": 112, + "extra_owned_fields": 0, + "native_children": 0, + "operations": { + "add": 502, + "scale": 51 + }, + "real_scalar_primitives": 4720 + }, + "ordinary": { + "arbitrary_input_columns": 112, + "extra_owned_fields": 0, + "native_children": 0, + "operations": { + "add": 194, + "scale": 43 + }, + "real_scalar_primitives": 1648 + }, + "ordinary_inverse": { + "arbitrary_input_columns": 112, + "extra_owned_fields": 0, + "native_children": 0, + "operations": { + "add": 194, + "scale": 43 + }, + "real_scalar_primitives": 1648 + } + }, + "geometry_sha256": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "native_reports": { + "base_backward": { + "arbitrary_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_macros": 10880, + "scalar_real_primitives": 87360 + }, + "base_forward": { + "arbitrary_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_macros": 10880, + "scalar_real_primitives": 87360 + }, + "extra_backward": { + "arbitrary_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_macros": 10880, + "scalar_real_primitives": 87360 + }, + "extra_forward": { + "arbitrary_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_macros": 10880, + "scalar_real_primitives": 87360 + } + }, + "nonsingular_selected_sets": 960, + "ordinary_arbitrary_input_columns": 40, + "other_ordinary_ports": [ + 2, + 9, + 10, + 11, + 13, + 14, + 16, + 21, + 25, + 37, + 41, + 43, + 44, + 47, + 51, + 52, + 61, + 62, + 63, + 70, + 71, + 76, + 78, + 81, + 87, + 90, + 91, + 92, + 99, + 104, + 106, + 110 + ], + "partner_ports": [ + 27, + 57, + 53, + 111, + 105, + 20, + 94, + 72 + ], + "principal_determinants": "1/16", + "producer_freeze_sha256": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "producer_payload_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "response48_determinant": 390625, + "scope": "Exact signed pair response, native words, common-frame scalar gauges, and cycle-cover family. Physical supplier and recursive cost remain open.", + "selected_and_partner_det": "-4", + "selected_ports": [ + 0, + 7, + 15, + 36, + 42, + 46, + 79, + 89 + ], + "selected_sets_sha256": "af3a0f11d3219ac15ba16394a5fbde45152e4f306c9c548bf6b76d1abb9d8200", + "signs": [ + 1, + -1, + 1, + -1, + 1, + -1, + 1, + -1 + ], + "status": "PASS_INDEPENDENT_SIGNED_PIVOTS" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/check_signed_pivots.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/check_signed_pivots.py new file mode 100644 index 0000000000..a318091244 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/check_signed_pivots.py @@ -0,0 +1,279 @@ +"""Check signed pivots and data-carried centre queries from exact pair data.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +import importlib.util +from itertools import combinations, product +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +HELPER = HERE.parent/"structured-centres-review-20261018/check_review.py" +SPEC = importlib.util.spec_from_file_location("review_helpers", HELPER) +R = importlib.util.module_from_spec(SPEC) +SPEC.loader.exec_module(R) +GEOMETRY = LANES/"controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.json" +GEOMETRY_PIN = "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2" +PRODUCER = LANES/"controller-followthrough-20261017/bipartite-eight-20261018" +FREEZE_PIN = "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1" +PAYLOAD_PIN = "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee" + + +def sub(matrix, rows, columns): + return [{j:matrix[i][q] for j, q in enumerate(columns) if q in matrix[i]} for i in rows] + + +def inverse(matrix): + n = len(matrix) + left, right = [dict(row) for row in matrix], R.eye(n) + for j in range(n): + p = next(i for i in range(j, n) if left[i].get(j)) + left[j], left[p] = left[p], left[j] + right[j], right[p] = right[p], right[j] + q = left[j][j] + left[j] = {k:v/q for k, v in left[j].items()} + right[j] = {k:v/q for k, v in right[j].items()} + for i in range(n): + if i != j and left[i].get(j): + q = left[i][j] + R.add(left[i], left[j], -q) + R.add(right[i], right[j], -q) + R.need(left == R.eye(n), "Exact inverse elimination") + return right + + +def dyadic(matrix): + return all(v.denominator & (v.denominator-1) == 0 for row in matrix for v in row.values()) + + +def block(a, b, c, d): + n = len(a) + return [dict(row) | {n+j:v for j, v in other.items()} for row, other in zip(a, b)] + [ + dict(row) | {n+j:v for j, v in other.items()} for row, other in zip(c, d)] + + +def negate(matrix): + return [{j:-v for j, v in row.items()} for row in matrix] + + +def main(): + preceding = HERE.parent/"structured-centres-review-20261018/FREEZE.json" + R.need(sha256(preceding.read_bytes()).hexdigest() == "2cd35b044728ba32db28a4babb994f8de85c1f0f98dd24a87283991e8ca3607c", + "Frozen independent matrix and replay helper") + R.need(sha256(HELPER.read_bytes()).hexdigest() == json.loads(preceding.read_text())["artifacts"]["check_review.py"], + "Independent helper bytes") + R.need(sha256(GEOMETRY.read_bytes()).hexdigest() == GEOMETRY_PIN, "Frozen pair geometry") + g = json.loads(GEOMETRY.read_text()) + large = g["large_ports"] + position = {v:i for i, v in enumerate(large)} + alpha = [1, -1, 1, -1, 1, -1, 1, -1] + k, signed, projectors = [], [{} for _ in large], [] + for sign, vertex in zip(alpha, g["vertices"]): + row, projector = {}, [{} for _ in large] + for pair in R.decode(vertex["pair_columns"]): + R.need(len(pair) == 2 and all(abs(v) == 1 for v in pair.values()), "Signed pair mode") + R.add(row, pair) + for i, value in pair.items(): + R.add(projector[position[i]], {position[j]:value*v/2 for j, v in pair.items()}) + R.need(R.mm(projector, projector) == projector, "Vertex projector") + projectors.append(projector) + k.append({position[j]:v for j, v in row.items()}) + for target, source in zip(signed, projector): + R.add(target, source, F(sign)) + total = [{} for _ in large] + for i, projector in enumerate(projectors): + for row, source in zip(total, projector): + R.add(row, source) + for other in projectors[:i]: + R.need(R.mm(projector, other) == [{} for _ in large], "Orthogonal vertex spaces") + R.need(total == R.eye(48), "Complete48-port mode decomposition") + R.need(all(len(row) == 1 and abs(next(iter(row.values()))) == 1 for row in signed), "Actual signed permutation") + R.need(R.mm(signed, signed) == R.eye(48), "Signed involution") + kt = R.transpose(k, 48) + ak = [{j:F(alpha[i])*v for j, v in row.items()} for i, row in enumerate(k)] + R.need(R.mm(signed, kt) == R.transpose(ak, 48), "G Ktranspose equals Ktranspose Lambda") + R.need(R.mm(k, kt) == [{i:F(12)} for i in range(8)], "Centre Gram") + outer = R.mm(kt, ak) + j, ji = [dict(row) for row in signed], [dict(row) for row in signed] + for a, b, source in zip(j, ji, outer): + R.add(a, source, F(-1, 2)) + R.add(b, source, F(-1, 10)) + R.need(R.mm(j, ji) == R.mm(ji, j) == R.eye(48), "Signed response inverse in both orders") + selected_ports = [0, 7, 15, 36, 42, 46, 79, 89] + s = [position[i] for i in selected_ports] + t = [next(iter(signed[i])) for i in s] + w = [i for i in range(48) if i not in s+t] + u = t+w + R.need(len(set(s+t)) == 16 and sub(signed, s, s) == [{} for _ in s], "Disjoint partner ports") + ks, k_t, kw = sub(k, range(8), s), sub(k, range(8), t), sub(k, range(8), w) + li, hi = inverse(sub(j, s, s)), inverse(sub(j, u, u)) + kti = inverse(k_t) + R.need(dyadic(li) and dyadic(hi) and dyadic(kti), "Actual small and ordinary dyadic units") + R.need(all(len(row) == 8 for row in kw), "Eight unit entries per ordinary residual query") + R.need(R.determinant(ks) == R.determinant(k_t) == -4, "Selected and partner determinants") + R.need(R.determinant(sub(j, s, s)) == R.determinant(sub(j, u, u)) == F(1, 16), "Both principal determinants") + R.need(R.determinant(j) == 5**8, "Full48-port determinant") + R.need(sub(ji, s, s) == [{q:v/5 for q, v in row.items()} for row in sub(j, s, s)], "Selected inverse block is L/5") + + # Apply the six operations to all40 arbitrary input columns. + state = R.eye(40) + def apply(matrix, fields): + current = [dict(state[i]) for i in fields] + for field, row in zip(fields, R.mm(matrix, current)): + state[field] = row + def query(sign): + for i, row in enumerate(kw): + for q, v in row.items(): + R.add(state[i], state[8+q], F(sign)*v) + def scatter(sign): + for i, row in enumerate(R.transpose(kw, 32)): + for q, v in row.items(): + R.add(state[8+i], state[q], F(sign)*v) + def scale(value): + for i, sign in enumerate(alpha): + state[i] = {q:F(sign)*value*v for q, v in state[i].items()} + apply(k_t, list(range(8))) + query(1) + scale(F(-1, 2)) + apply(sub(signed, w, w), list(range(8, 40))) + scatter(1) + apply(R.transpose(k_t, 8), list(range(8))) + R.need(state == sub(j, u, u), "Six-step forward gauge") + apply(R.transpose(kti, 8), list(range(8))) + scatter(-1) + apply(sub(signed, w, w), list(range(8, 40))) + scale(F(-2)) + query(-1) + apply(kti, list(range(8))) + R.need(state == R.eye(40), "Six-step inverse restores every arbitrary input") + + l, b, d, h = sub(j, s, s), sub(j, s, u), sub(j, u, s), sub(j, u, u) + top = negate(l) + for row, addend in zip(top, R.mm(R.mm(b, hi), d)): + R.add(row, addend) + a = block(top, negate(R.mm(b, hi)), negate(R.mm(hi, d)), hi) + bottom = [dict(row) for row in h] + for row, addend in zip(bottom, R.mm(R.mm(d, li), b)): + R.add(row, addend, F(-1)) + ai = block(negate(li), negate(R.mm(li, b)), negate(R.mm(d, li)), bottom) + R.need(R.mm(a, ai) == R.mm(ai, a) == R.eye(48), "Both data-interface inverse orders") + R.need(dyadic(a) and dyadic(ai) and R.determinant(a) == 1, "Dyadic data interface with determinant1") + + edges = [edge for edge in g["pair_edges"] if alpha[edge["vertices"][0]] != alpha[edge["vertices"][1]]] + R.need(len(edges) == 12, "Actual cross-sign graph") + cover_reports, valid = [], [] + for cover in combinations(edges, 8): + degree = Counter(v for edge in cover for v in edge["vertices"]) + if degree != {i:2 for i in range(8)}: + continue + adjacency = {i:[] for i in range(8)} + for edge in cover: + a0, a1 = edge["vertices"] + adjacency[a0].append(a1) + adjacency[a1].append(a0) + unseen, components = set(range(8)), 0 + while unseen: + components += 1 + todo = [min(unseen)] + while todo: + v = todo.pop() + if v in unseen: + unseen.remove(v) + todo.extend(adjacency[v]) + count = 0 + for bits in product((0, 1), repeat=8): + ports = sorted(edge["ports"][bit] for edge, bit in zip(cover, bits)) + indices = [position[i] for i in ports] + value = R.determinant(sub(k, range(8), indices)) + R.need(value in (0, 2**components, -2**components), "Exact signed cycle determinant") + if value: + R.need(sub(signed, indices, indices) == [{} for _ in range(8)], "Every valid selected set has zero G block") + valid.append(ports) + count += 1 + R.need(count == 2**(8-components), "One parity condition per cycle") + cover_reports.append(dict(edge_ports=[edge["ports"] for edge in cover], cycles=components, + valid_selected_sets=count)) + R.need(len(cover_reports) == 9 and len(valid) == len({tuple(v) for v in valid}) == 960, + "All cycle covers and distinct nonsingular selected sets") + R.need(sha256((PRODUCER/"FREEZE.json").read_bytes()).hexdigest() == FREEZE_PIN, "New native producer freeze") + for name, pin in json.loads((PRODUCER/"FREEZE.json").read_text())["artifacts"].items(): + R.need(sha256((PRODUCER/name).read_bytes()).hexdigest() == pin, "Frozen new artifact " + name) + packet = R.load_gzip(PRODUCER/"BIPARTITE-EIGHT-PROGRAM.json.gz", PAYLOAD_PIN) + old = R.load_gzip(R.STRUCTURED/"STRUCTURED-CENTRES-PROGRAM.json.gz", R.STRUCTURED_PIN) + old_response = R.decode(old["response"]) + native_response = [{} for _ in range(112)] + native_inverse = [{} for _ in range(112)] + for port in range(112): + if port in position: + native_response[port] = {large[q]:v for q, v in j[position[port]].items()} + native_inverse[port] = {large[q]:v for q, v in ji[position[port]].items()} + else: + native_response[port] = {q:-v for q, v in old_response[port].items()} + native_inverse[port] = {q:-v/4 for q, v in old_response[port].items()} + R.need(R.decode(packet["response"]) == native_response, "Actual new native response equals independently derived J") + R.need(R.decode(packet["inverse"]) == native_inverse, "Actual full rational inverse formula") + R.need(R.mm(native_response, native_inverse) == R.mm(native_inverse, native_response) == R.eye(112), + "Full112-port inverse orders") + R.need(R.determinant(native_response) == 2**64*5**8, "Full112-port determinant") + core = R.load_gzip(LANES/"new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz", R.CORE_PIN) + native_reports = {} + for provider, item in packet["providers"].items(): + R.need(item["canonical"] == core["providers"][provider]["canonical"], "Unchanged actual canonical word") + for direction in ("forward", "backward"): + detail = R.native_replay(item["programs"][direction], item["canonical"], + core["providers"][provider]["programs"][direction], + native_response, direction == "backward") + R.need(detail["scalar_real_primitives"] == 87360, "Actual native scalar invoice") + native_reports[provider+"_"+direction] = detail + + def embedded(matrix, indices): + fields = [large[q] for q in indices] + answer = R.eye(112) + for port, row in zip(fields, matrix): + answer[port] = {fields[q]:v for q, v in row.items()} + return answer + expected_gauges = {"ordinary":embedded(h, u), "ordinary_inverse":embedded(hi, u), + "data":embedded(a, s+u), "data_inverse":embedded(ai, s+u)} + gauge_reports = {} + for name, program in packet["gauge_programs"].items(): + state, price, operations = R.eye(112), 0, Counter() + for event in program: + R.need(event[0] == "scalar" and event[2] == 0, "Common-frame scalar gate") + gate = event[1] + op, target = gate[0], gate[1] + R.need(target[0] == "L" and 0 <= target[1] < 112, "Only existing data fields") + price += R.scalar_price(gate) + operations[op] += 1 + if op == "scale": + value = F(*gate[2:4]) + state[target[1]] = {q:value*v for q, v in state[target[1]].items()} + else: + R.need(op == "add", "No COPY,CLEAR,or new workspace") + source = gate[2] + R.need(source[0] == "L" and 0 <= source[1] < 112 and source != target, "Existing distinct data source") + R.add(state[target[1]], state[source[1]], F(*gate[3:5])) + R.need(state == expected_gauges[name], "Literal gauge matches independent signed-pivot map on112columns") + R.need(price == (4720 if name.startswith("data") else 1648), "Independent literal gauge invoice") + gauge_reports[name] = dict(real_scalar_primitives=price, operations=dict(operations), + arbitrary_input_columns=112, extra_owned_fields=0, native_children=0) + report = dict(status="PASS_INDEPENDENT_SIGNED_PIVOTS", geometry_sha256=GEOMETRY_PIN, + signs=alpha, selected_ports=selected_ports, partner_ports=[large[i] for i in t], + other_ordinary_ports=[large[i] for i in w], selected_and_partner_det="-4", + principal_determinants="1/16", response48_determinant=5**8, data_determinant=1, + ordinary_arbitrary_input_columns=40, data_arbitrary_input_columns=48, + exact_cycle_covers=cover_reports, nonsingular_selected_sets=len(valid), + selected_sets_sha256=sha256(json.dumps(sorted(valid), separators=(",", ":")).encode()).hexdigest(), + producer_freeze_sha256=FREEZE_PIN, producer_payload_sha256=PAYLOAD_PIN, + native_reports=native_reports, gauge_reports=gauge_reports, + helper_checker_sha256=sha256(HELPER.read_bytes()).hexdigest(), + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + scope="Exact signed pair response, native words, common-frame scalar gauges, and cycle-cover family. Physical supplier and recursive cost remain open.") + (HERE/"SIGNED-PIVOTS.json").write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"], "960 exact eight-port pivot sets", flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT-PROGRAM.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT-PROGRAM.json.gz new file mode 100644 index 0000000000..aaebe41c87 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT-PROGRAM.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT.json new file mode 100644 index 0000000000..3edeb9b007 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/producer-replay/BIPARTITE-EIGHT.json @@ -0,0 +1,193 @@ +{ + "checker_sha256": "e552e541bf681dc411aeb987bf0903efa367f2acdd3af4d611999b7e947d0b9b", + "component_signs": [ + 1, + -1, + 1, + -1, + 1, + -1, + 1, + -1 + ], + "determinants": { + "data": "1", + "full_response": "7205759403792793600000000", + "large_response": "390625", + "ordinary": "1/16", + "selected": "1/16" + }, + "gauge_reports": { + "data": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "data_inverse": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "ordinary": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + }, + "ordinary_inverse": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + } + }, + "geometry_sha256": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "independent_elimination_prices": { + "data": 10982, + "data_inverse": 10982, + "ordinary": 7384, + "ordinary_inverse": 7384 + }, + "partner_centre_minor_determinant": "-4", + "partner_ports": [ + 20, + 27, + 53, + 57, + 72, + 94, + 105, + 111 + ], + "payload_decompressed_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "providers": { + "base": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + } + }, + "residual_ports": [ + 2, + 9, + 10, + 11, + 13, + 14, + 16, + 21, + 25, + 37, + 41, + 43, + 44, + 47, + 51, + 52, + 61, + 62, + 63, + 70, + 71, + 76, + 78, + 81, + 87, + 90, + 91, + 92, + 99, + 104, + 106, + 110 + ], + "response_space_sha256": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "scope": "Native core and exact common-frame gauges. The structured gauge words agree with independent exact elimination. Physical selected boundaries, inter-stage views, supplier decoder, and recursive pricing remain separate.", + "selected_centre_minor_determinant": "-4", + "selected_ports": [ + 0, + 7, + 15, + 36, + 42, + 46, + 79, + 89 + ], + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES", + "symmetric_source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/replay_producer.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/replay_producer.py new file mode 100644 index 0000000000..f03457d592 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/signed-centres-review-20261018/replay_producer.py @@ -0,0 +1,50 @@ +"""Repeat the signed native producer without writes to frozen paths.""" + +from hashlib import sha256 +import json +from pathlib import Path +import runpy +import sys +from unittest.mock import patch + + +HERE = Path(__file__).resolve().parent +FAMILY = HERE.parents[1]/"controller-followthrough-20261017" +PRODUCER = FAMILY/"bipartite-eight-20261018" +OUTPUT = HERE/"producer-replay" +NAMES = ["BIPARTITE-EIGHT.json", "BIPARTITE-EIGHT-PROGRAM.json.gz"] + + +def main(): + OUTPUT.mkdir(exist_ok=True) + for directory in ("partial-orthogonal", "structured-centres"): + sys.path.insert(0, str(FAMILY/directory)) + pins = {name:sha256((PRODUCER/name).read_bytes()).hexdigest() for name in NAMES} + write_text, write_bytes = Path.write_text, Path.write_bytes + + def destination(path): + if path.parent != PRODUCER or path.name not in NAMES: + raise ValueError("Undeclared producer write: " + str(path)) + return OUTPUT/path.name + + def redirect_text(path, *args, **kwargs): + return write_text(destination(path), *args, **kwargs) + + def redirect_bytes(path, *args, **kwargs): + return write_bytes(destination(path), *args, **kwargs) + + with patch.object(Path, "write_text", redirect_text), patch.object(Path, "write_bytes", redirect_bytes): + runpy.run_path(str(PRODUCER/"check_bipartite_eight.py"), run_name="__main__") + receipt = [] + for name in NAMES: + original = sha256((PRODUCER/name).read_bytes()).hexdigest() + actual = sha256((OUTPUT/name).read_bytes()).hexdigest() + if original != pins[name] or original != actual: + raise ValueError("Producer output mismatch: " + name) + receipt.append(dict(name=name, sha256=actual, source_unchanged=True, byte_equal=True)) + (HERE/"PRODUCER-REPLAY.json").write_text(json.dumps(receipt, indent=2, sort_keys=True)+"\n") + print("SIGNED_PRODUCER_OUTPUTS_BYTE_EQUAL", flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/COMPLETE-MINOR-INTERFACES.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/COMPLETE-MINOR-INTERFACES.md new file mode 100644 index 0000000000..856e1ea337 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/COMPLETE-MINOR-INTERFACES.md @@ -0,0 +1,158 @@ +# A criterion for dyadic interfaces from complete minors + +This result concerns algebraic interfaces. It does not assert physical +source access or a complete supplier. It applies to unions of the complete +square minors specified below. It does not apply to arbitrary port sets. + +## Hypotheses + +Work over the dyadic rationals `R = Z[1/2]`. Let `K` be an `r` by `rd` +matrix with entries in `R`. Partition its columns into `d` square blocks +`K_1, ..., K_d`, where + +`K_j K_j^T = lambda I_r` + +for every `j`. Here `lambda` is a positive power of two. Thus each block +is invertible over `R`, also satisfies `K_j^T K_j = lambda I_r`, and +`K K^T = d lambda I_r`. Assume `d >= 4`. + +Select a union `S` of `k` blocks, and let `U` be the complement. Put +`G = K^T K`. Let `P` be `-I` on `S` and `I` on `U`. For the response +`J = I - G/lambda`, define the ordinary map + +`H = I_U - K_U^T K_U/lambda`. + +All formulas below use column vectors. The maps act on arbitrary data. + +## Inverse formulas and the exact dyadic criterion + +For `k != d-1`, + +`H^-1 = I_U + K_U^T K_U/[lambda(k-d+1)]`. + +For `k != d-1`, define the data map + +`A = P + G/[lambda(k-d+1)]`. + +If also `k != 1`, then + +`A^-1 = P + P G P/[lambda(k-1)]`. + +For an interior split `2 <= k <= d-2`, all four maps `H`, `H^-1`, +`A`, and `A^-1` have dyadic entries if and only if both integers + +`k-1` and `d-1-k` + +are powers of two. Hence some interior complete-minor dyadic interface +exists if and only if `d-2` is the sum of two powers of two. This is an +exact criterion within the specified family, not a search result. + +To prove the formulas, set `G_U = K_U^T K_U`. The complete-minor identities +give + +```text +G_U^2 = (d-k) lambda G_U, +K P K^T = (d-2k) lambda I_r, +G P G = (d-2k) lambda G. +``` + +Substitution into the two products for each claimed inverse gives the +identity. For the dyadic criterion, sufficiency follows from these +formulas. For necessity, restrict `H^-1` to any complete ordinary block. +Its principal block is `(1 + 1/(k-d+1)) I_r`. The numerator and denominator +are consecutive integers. Thus this block is dyadic only if `d-1-k` is +a power of two. Restrict `A^-1` to any complete selected block. Its +principal block is `(-1 + 1/(k-1)) I_r`. The same argument forces `k-1` +to be a power of two. These arguments also cover a denominator of one. + +One can also check the criterion from determinants: + +```text +det(H) = (k-d+1)^r, +det(A) = (-1)^(rk) [(k-1)/(d-1-k)]^r. +``` + +The determinant of `H` uses its `r` centre eigenvalues and the identity +action on `ker(K_U)`. The determinant of `A` follows from the matrix +determinant identity and the signed Gram above. + +## Balanced serial gauges + +Suppose `d` is even and `k = d/2`. Then `K P K^T = 0`. If `q_i` is row +`i` of `K`, all products + +`(P q_i^T q_i)(P q_j^T q_j)` + +are zero. Moreover, each row of `K` is unchanged by every shear +`I + t P q_i^T q_i`, for every scalar `t`. Therefore the product of the +`r` shears with `t = 1/[lambda(k-d+1)]` is `I + t P G` in any order. +Apply `P` after this product to obtain `A`. + +A serial common-frame implementation can form each query in one owned +zero field, scatter it, then subtract the same query from the updated +data. The field returns to zero because that query did not change. +The inverse uses the opposite shear sign and the opposite order for `P`. +This statement supplies the cancellation rule. The costs of query +formation and scatter still depend on the entries and supports of `K`. + +The balanced interface is dyadic exactly when `d/2-1` is a power of two. +Equivalently, `d = 2 + 2^(a+1)` for an integer `a >= 0`. The balanced +condition is necessary for this complete-minor query-preservation rule: +the signed Gram is `(d-2k) lambda I_r`. + +## One selected minor: the remaining content kernel + +For `k = 1`, the selected block of `-J` is zero. Let + +`B = K_S^T K_U/lambda`, `D = K_U^T K_S/lambda`. + +Then `BD = (d-1) I_r`. Each complete ordinary minor gives a square +dyadic-unit minor of `B`: for its block `B_j`, `B_j B_j^T = I_r`. + +The data map exists when `d > 2`, but is singular: + +`A = P - G/[lambda(d-2)]`, +`ker(A) = range(P K^T)`, +`dim ker(A) = r`. + +Indeed `A P K^T = 0`, by the signed Gram. Conversely, `Ax=0` implies +`x` lies in this range. This singularity is over the rationals. More +precise dyadic arithmetic cannot remove it. + +If an odd prime `p` divides `d-1`, then this same interface also meets +the hypotheses of the query-separation theorem in +`../dyadic-query-separation-review-20261018/REVIEW.md`. For any dyadic +matrix `M` for which `MD` is a dyadic unit matrix, the stacked map +`[B;M]` has rank `2r` over the rationals. To see this, reduce modulo `p`. +The product `BD` is zero, `B` has row rank `r`, and `MD` is invertible. +In a relation `u B + v M = 0`, multiplication by `D` first gives +`v=0`, then `u=0`. The minor that proves rank `2r` modulo `p` is also +nonzero over the rationals. This is a bound on linear observations in +that interface. It is not a bound on native children or on all encodings. + +## Application to the two actual complete-minor families + +The original eight-centre family has `d=14`, `lambda=4`, and `r=8`. +Its interior complete-minor dyadic interfaces have `k=5` or `k=9`. +The balanced choice `k=7` fails the criterion because `k-1=6`. + +The changed 48-port family has `d=6`, `lambda=2`, and `r=8`. +Its only interior complete-minor dyadic interface has `k=3`. All +`binomial(6,3)=20` choices have the same identities. They select 24 +ports and leave 24 ordinary ports in this block. Their signed Gram is +zero, which gives the serial query-preserving gauge used by the producer. +The separate 64-port Hadamard block remains outside this theorem. + +For one selected minor in the changed family, `BD=5I_8`, and the data +map still has an eight-dimensional kernel. The preceding observation +bound applies modulo five. Thus the new response changes the complete +minor structure and permits the 24/24 interface; a return to an 8/40 +interface does not remove the content kernel or the dyadic query split. + +The physical native words are proved only for the two actual pinned +families. The abstract theorem does not supply native words for every +value of `d` that meets the arithmetic criterion. + +This is AI-assisted research. It uses the producer's changed response +and complete minors, and the earlier complete-minor and query-separation +results from this campaign. It makes no kappa or frontier claim. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/FREEZE.json new file mode 100644 index 0000000000..cb28bf1872 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/FREEZE.json @@ -0,0 +1,23 @@ +{ + "artifacts": { + "COMPLETE-MINOR-INTERFACES.md": "6903b1986d0e6fbe26f144b39b7baca82b58b7f3d6be4027470191f305370487", + "INTERFACES.json": "4ef2fd5d4aefc7161b606fe14d9b63a3027cba281ef1d7c76aa8a48841a6a81a", + "PEER-CHECK.md": "b0cfa8d74987a00e10608c640ebd00d9f531f45f86a61dfaf974c92456175cff", + "PRODUCER-REPLAY.json": "13d5ddabd64d199f02427993b79f43e6736aa7da1d5ed209f2c6c3a02cb8d0df", + "REVIEW.json": "9d48cd0bd0d6f694706b36d4d895cf2a4da5f165136a8240537344a746d4d4fb", + "REVIEW.md": "f58c2482690b59822a57f50e435c05d1e2a3c2af2c0f061d0e45b59d9ba8e72e", + "check_interfaces.py": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "check_review.py": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "producer-replay/PARTIAL-ORTHOGONAL-PROGRAM.json.gz": "880f277363e02924dbe8b80eaef21b39ea6a92d86e3c485f9b755e45a88c323d", + "producer-replay/PARTIAL-ORTHOGONAL.json": "0de7f6d43d9216c4eb5c36625a384f0cb4027a5500733efee0d49fe0f61b3eaa", + "producer-replay/RANK8-GAUGES-V2.json": "6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c", + "producer-replay/RANK8-GAUGES.json": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "producer-replay/STRUCTURED-CENTRES-PROGRAM.json.gz": "b09a60f6d62664aa0304085764ea198d9f86e9ed2d8769d7ae366814c4590f48", + "producer-replay/STRUCTURED-CENTRES.json": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc", + "producer-replay/SYMMETRIC-FAMILY.json": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "replay_producers.py": "89e63880e13d45aa369221aa5036256375b09f2fbe62eb6f1d54de323a1fe4d4" + }, + "schema": "independent-structured-centres-review-v1", + "scope": "Native responses and common-frame scalar interfaces. No complete supplier, recursive precision, native capture lower bound, or kappa claim. No PR, commit, push, or publication.", + "validation": "Independent exact replay of eight native words, all640input columns, all64minor unions, all20balanced interfaces, both scalar gauge versions, all112PSD polynomials, and all6singular endpoints. Five unchanged producer checkers give byte-identical outputs. Complete-minor theorem received a separate proof review." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/INTERFACES.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/INTERFACES.json new file mode 100644 index 0000000000..21a9bcf44a --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/INTERFACES.json @@ -0,0 +1,68 @@ +{ + "cases": [ + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 0 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 1 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 2 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 3 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 4 + }, + { + "centre_product": "5I8", + "data_kernel_dimension": 8, + "data_rank": 40, + "dyadic_query_rank": 16, + "five_minor_ordinary_nullity": 8, + "matched_rational_query_rank": 8, + "modular_prime": 5, + "selected_minor": 5 + } + ], + "checker_sha256": "8f13da07069ac28c31d9257d1c5f5b01d47f8fff7d680a9e6def31d206a8db5e", + "helper_checker_sha256": "768d56527c2206b7987a1db74b641c086d5cdeba6e881fbbf262139f9f64e6dd", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "status": "PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PEER-CHECK.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PEER-CHECK.md new file mode 100644 index 0000000000..f3a42520b4 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PEER-CHECK.md @@ -0,0 +1,18 @@ +# Independent check of the complete-minor theorem + +The controller-followthrough worker read `COMPLETE-MINOR-INTERFACES.md` +after the bridge-review worker derived and wrote it. The worker checked +the inverse formulas, determinant signs, principal-block necessity, +balanced nilpotent query rule, exact one-minor kernel, and the modular +query-separation argument. The worker reported no material issue. + +The peer check also confirmed that the explicit complete-minor scope +does not conflict with the earlier irregular 38-port interface. + +This peer check concerns the new general theorem. The independent review +of the controller-followthrough native packet is the bridge-review +worker's own work in `REVIEW.md` and its exact checkers. These two roles +are separate. The producer did not approve its own native packet. + +This is a record of internal research review. It is not a maintainer +decision or a publication. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PRODUCER-REPLAY.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PRODUCER-REPLAY.json new file mode 100644 index 0000000000..468b7f0990 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/PRODUCER-REPLAY.json @@ -0,0 +1,51 @@ +[ + { + "output": "PARTIAL-ORTHOGONAL.json", + "output_equal": true, + "sha256": "0de7f6d43d9216c4eb5c36625a384f0cb4027a5500733efee0d49fe0f61b3eaa", + "source": "controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py", + "source_unchanged": true + }, + { + "output": "PARTIAL-ORTHOGONAL-PROGRAM.json.gz", + "output_equal": true, + "sha256": "880f277363e02924dbe8b80eaef21b39ea6a92d86e3c485f9b755e45a88c323d", + "source": "controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py", + "source_unchanged": true + }, + { + "output": "SYMMETRIC-FAMILY.json", + "output_equal": true, + "sha256": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "source": "controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py", + "source_unchanged": true + }, + { + "output": "STRUCTURED-CENTRES.json", + "output_equal": true, + "sha256": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc", + "source": "controller-followthrough-20261017/structured-centres/check_structured_centres.py", + "source_unchanged": true + }, + { + "output": "STRUCTURED-CENTRES-PROGRAM.json.gz", + "output_equal": true, + "sha256": "b09a60f6d62664aa0304085764ea198d9f86e9ed2d8769d7ae366814c4590f48", + "source": "controller-followthrough-20261017/structured-centres/check_structured_centres.py", + "source_unchanged": true + }, + { + "output": "RANK8-GAUGES.json", + "output_equal": true, + "sha256": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "source": "controller-followthrough-20261017/structured-centres/check_rank8_gauges.py", + "source_unchanged": true + }, + { + "output": "RANK8-GAUGES-V2.json", + "output_equal": true, + "sha256": "6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c", + "source": "controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py", + "source_unchanged": true + } +] diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.json new file mode 100644 index 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"ordinary_inverse": 1332 + }, + "scalar_gauge_v2_prices": { + "data": 2368, + "data_inverse": 2368, + "ordinary": 1172, + "ordinary_inverse": 1172 + }, + "source_core_decompressed_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_INDEPENDENT_STRUCTURED_CENTRE_REVIEW", + "structured_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.md new file mode 100644 index 0000000000..8310b0db47 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/REVIEW.md @@ -0,0 +1,244 @@ +# Independent review of the changed centre response + +The partial and structured native responses pass this review. The changed +48-port response has six disjoint complete eight-port minors. Any three +of these minors give a dyadic 24/24 algebraic interface. All 20 choices +pass exact verification. The frozen common-frame scalar gauges implement +one such interface with a serial owned field. + +This is a useful change of the response and query geometry. It is not a +complete supplier. The backward native word supplies the negative +transpose of the new response, not its inverse. The selected physical +boundary, routed transitions, 64-port gauge, source access at the required +cuts, terminal map, and complete recursive cost remain open. + +## Inputs and independent method + +The review pins the following two producer freezes: + +```text +controller-followthrough-20261017/partial-orthogonal/FREEZE.json +b3938cd51d756df996f8421742c88bd96ab8fcddc7372c373c6fcbc5048d2bf1 + +controller-followthrough-20261017/structured-centres/FREEZE.json +5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19 +``` + +The checker verifies every artifact in both manifests. It also pins the +decompressed original clean native core and the structured payload: + +```text +clean core: +a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa +structured response: +2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1 +``` + +`check_review.py` imports no producer checker. It uses exact fractions and +its own sparse ordered-word interpreter. It checks both orientations on +both providers for both responses: eight complete words. Each replay +uses 640 independent input columns. It includes all 408 arbitrary +borrowed helper fields and all eight owned input fields. Owned CLEARs +are explicit; all owned outputs are zero. The 91 private zero buffers +are allocated and returned under their zero contract. + +Every scalar source and target must have the declared physical frame. +Every native, adapter, and private-buffer record equals its pinned source +record. Only the first descriptive phase label changes; the other phase +labels are unchanged. Physical warp operators are formal invertible +operators in this replay. The proved endpoint identity therefore holds +for their actual phase-correct realizations as well. This review inherits +the actual native map definitions from the pinned unchanged core. It does +not re-prove the implementation of each recursive child. + +`replay_producers.py` also runs all five unchanged producer checkers. It +redirects their declared output files to this review directory. Every +output is byte-identical to its frozen producer output. The source files +remain unchanged. `PRODUCER-REPLAY.json` records the comparisons. + +## Native operation and cost + +For response matrix `E`, the forward word gives `Y += E X`. The backward +word gives `X -= E^T Y`. The checks include unchanged remaining data, +all helper columns, owned zero outputs, and endpoint frames. + +| Response | Real scalar primitives per word | Native children | Native rank mass | +| --- | ---: | ---: | ---: | +| Partial orthogonal response | 86,664 | 3,507 | 5,073 | +| Structured centre response | 87,360 | 3,507 | 5,073 | + +Both orientations and both providers have the same stated bill. The +exact rank profile is `{1:2433, 2:724, 3:228, 4:102, 5:20}`. The scalar +invoice is derived from each literal operation, not from its endpoint +matrix. These are local word bills, not a complete recursive supplier +bill or a kappa result. + +## Response geometry and complete-minor interfaces + +The partial response has a closed 64-port symmetric Hadamard block with +square `4I`. Its full determinant is `-2^88`. The structured response +keeps that block and changes the remaining 48 ports to + +`E_48 = -I + K^T K/2`, with `K K^T = 12I_8`. + +Every row of the actual `K` has twelve nonzero entries, all `1` or `-1`. +With `O=K^T K/12`, its centre eigenvalue is five and its other eigenvalues +are minus one. Thus the full determinant is `2^64 * 5^8`, and + +`E^-1 = E_64/4 - I_48 + (6/5)O`. + +Both inverse orders are checked with exact fractions. This direct inverse +requires division by five; the frozen native packet does not implement +that division or a full inverse word. + +Each of the six actual complete minors has Gram `2I_8`. They partition +the 48 ports. The reviewer checks all 64 unions, rather than only the +producer's first `k` choices. For a union of `k` minors, the selected +and ordinary Grams are `2k I_8` and `2(6-k) I_8`. + +For the negative response `J_48=-E_48`, let `P` be minus one on selected +ports and one on ordinary ports. The ordinary and data maps are + +```text +H = I_U - K_U^T K_U/2, +H^-1 = I_U + K_U^T K_U/[2(k-5)], +A = P + K^T K/[2(k-5)], +A^-1 = P + P K^T K P/[2(k-1)]. +``` + +All 20 choices with `k=3` have dyadic coefficients and satisfy both +inverse orders. They also have `K P K^T=0`. The resulting rank-one +data shears preserve every centre query, so the query can be removed +after its scatter without a second source copy. + +The review derives the general complete-minor criterion in +`COMPLETE-MINOR-INTERFACES.md`. If there are `d` square minors with a +common Gram that is a positive power of two, an interior split is +dyadic exactly when `k-1` and `d-1-k` are powers of two. The balanced +query-preserving case requires `k=d/2`. This explains the distinction +between the original fourteen-minor family and the new six-minor family. +It applies only to unions of complete minors. Irregular port subsets +are outside its scope. + +`check_interfaces.py` checks both singular endpoints on all six actual +minors. At `k=1`, the data map has rank 40 and an explicit eight-dimensional +kernel `range(P K^T)`. The source blocks satisfy `BD=5I_8`. Each complete +ordinary minor gives a dyadic-unit minor of `B`. The conditional +query-separation theorem therefore applies modulo five: if `M` and +`(MD)^-1` are dyadic, the stacked observation `[B;M]` has rank sixteen. +The checker supplies exact dyadic `MD=I` examples and verifies rank +sixteen over both the rationals and the field with five elements. +In contrast, `M=B/5` gives rank eight and `MD=I`. At `k=5`, the entire +eight-port ordinary map is zero. These are algebraic facts, not native +child lower bounds. + +## Literal serial scalar gauges + +The first frozen gauge packet has these independently checked costs: + +| Gauge | Real scalar primitives | Native children | +| --- | ---: | ---: | +| `A` | 2,688 | 0 | +| `A^-1` | 2,688 | 0 | +| `H` | 1,236 | 0 | +| `H^-1` | 1,332 | 0 | + +Every word acts correctly on all 112 arbitrary data columns. The other +ports are unchanged. The word starts with `C0=0`, forms eight serial +queries, and returns `C0` to zero. Each COPY targets that owned zero +field. An arbitrary borrowed field cannot replace this contract. A +separate CLEAR, if needed at entry, costs two real scalar primitives. +The preceding native word already establishes zero on its owned outputs. + +For `H`, the updated query is minus twice the previous query. For +`H^-1`, it is minus one half of that query. The emitted word scales +`C0` by this factor before subtracting the updated query. This is why +the ordinary gauge restores its field despite changing the data. + +The separate version-two packet preserves these maps and storage +contracts. It moves the common positive scatter magnitude to `C0`, so +each scatter uses signed unit ADDs. It then rescales `C0` to the updated +query before removal. The reviewer independently checks every operation, +all 112 input columns, zero restoration at every query, and the invoice. + +| Version-two gauge | Query scale | Scale before removal | Real scalar primitives | +| --- | ---: | ---: | ---: | +| `A` | `1/4` | `4` | 2,368 | +| `A^-1` | `1/4` | `4` | 2,368 | +| `H` | `1/2` | `-4` | 1,172 | +| `H^-1` | `1/4` | `-2` | 1,172 | + +There are no CLEARs in these four words. Every data word costs 290 +primitives per query, plus 48 for the selected signs. Each ordinary +word costs 146 per query, plus four for the two negative first entries. +The separate freeze is `GAUGES-V2-FREEZE.json`, with hash +`deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733`. +The scale-placement idea is credited by the producer to the +new-core-transfer worker. The preceding frozen packet is unchanged. + +These words require one common physical frame for all operands. Their +algebra does not authorize reads from a retired Y bank or a future X +bank. The signs needed to fit a complete supplier and the separate +64-port gauge also require their own literal construction and bill. + +## Positive diagonal metric obstruction + +The metric theorem is valid in the specified 42-dimensional real +symmetric family. The reviewer reconstructs the exact dyadic matrices +from the pinned directions and checks their rational independence. It +does not infer completeness of all native responses from a modular +search. + +Let `E=sum_i w_i S_i` and let `D=diag(d_j)` with all `d_j>0`. The supplied +zero-diagonal witness `Y` gives an exact expression for `tr(Y E D E)`. +For each of the 64 small-block columns, the coefficient of `d_j` is + +`(w_40 - 2w_41)^2/6 + 5w_41^2/24`. + +For each of the other 48 columns, the coefficient is + +`(5/3) sum_(i incident to j) c_i^2 w_(32+i)^2`, + +where `c_0=c_5=2` and the other `c_i=-1`. Each centre occurs at twelve +columns. The reviewer expands each of these 112 polynomials directly +and checks every coefficient. The two-variable coefficient matrix is +positive definite, with determinant `5/144`. + +If `E D E` is diagonal, the trace is zero. Strict positivity of all +`d_j` forces `w_32,...,w_41=0`. The remaining directions have support +only on the 64-port block, so `rank(E)<=64`. The bound is sharp because +the Hadamard response on that block is invertible. + +This excludes full orthogonalization by invertible real diagonal input +and output gauges within this symmetric family: the row Gram of `A E B` +is `A E B^2 E A`, and `B^2` is positive diagonal. It does not exclude a +nonsymmetric reciprocal pair, a larger response family, changed native +words, or another representation. It does not conflict with the useful +structured response, whose dyadic gauges are not diagonal. + +## Validation and remaining scope + +Run from the workspace root: + +```text +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/check_review.py +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/check_interfaces.py +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/structured-centres-review-20261018/replay_producers.py +``` + +The expected final markers are `PASS_INDEPENDENT_STRUCTURED_CENTRE_REVIEW`, +`PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS`, and `ALL_PRODUCER_OUTPUTS_BYTE_EQUAL`. +The independent checker uses explicit failures and does not depend on +Python assertions. + +No material proof or implementation defect was found in the scoped +producer claims. The exact gauge entry contract is made explicit above. +No selected supplier, recursive precision proof, complete kappa +calculation, or full assembly was run. This review makes no claim that +each native centre capture needs rank eight; the new rank-seven capture +results are a separate construction question. + +This is AI-assisted review. It builds on the controller-followthrough +producer, oblique-native response directions, the new-core-transfer +native core, and prior complete-minor and query-separation proofs from +this campaign. No PR, commit, push, or publication was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_interfaces.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_interfaces.py new file mode 100644 index 0000000000..0fcefdcfb7 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_interfaces.py @@ -0,0 +1,98 @@ +"""Check the singular endpoints and query split on the actual centre rows.""" + +from fractions import Fraction as F +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +SPEC = importlib.util.spec_from_file_location("review_helpers", HERE/"check_review.py") +R = importlib.util.module_from_spec(SPEC) +SPEC.loader.exec_module(R) + + +def rank(rows, prime=None): + basis = {} + for source in rows: + row = dict(source) + if prime: + row = {j: int(v.numerator)*pow(int(v.denominator), -1, prime) % prime + for j, v in row.items()} + row = {j:v for j, v in row.items() if v} + while row: + pivot = min(row) + if pivot not in basis: + reciprocal = pow(row[pivot], -1, prime) if prime else 1/row[pivot] + basis[pivot] = {j:(v*reciprocal) % prime if prime else v*reciprocal + for j, v in row.items()} + break + factor = row[pivot] + for j, v in basis[pivot].items(): + value = row.get(j, 0)-factor*v + if prime: + value %= prime + if value: + row[j] = value + else: + row.pop(j, None) + return len(basis) + + +def main(): + source = R.STRUCTURED/"STRUCTURED-CENTRES-PROGRAM.json.gz" + raw = gzip.decompress(source.read_bytes()) + R.need(sha256(raw).hexdigest() == R.STRUCTURED_PIN, "Actual centre source pin") + packet = json.loads(raw) + k = R.decode(packet["centre_rows"]) + large = sorted({j for row in k for j in row}) + position = {j:i for i, j in enumerate(large)} + k = [{position[j]:v for j, v in row.items()} for row in k] + kt = R.transpose(k, 48) + gram = R.mm(kt, k) + minors = json.loads((R.STRUCTURED/"STRUCTURED-CENTRES.json").read_text())["orthogonal_minor_ports"] + reports = [] + for index, fields in enumerate(minors): + selected = sorted(position[j] for j in fields) + ordinary = sorted(set(range(48))-set(selected)) + ks = [{i:row[j] for i, j in enumerate(selected) if j in row} for row in k] + ku = [{i:row[j] for i, j in enumerate(ordinary) if j in row} for row in k] + b = [{j:v/2 for j, v in row.items()} for row in R.mm(R.transpose(ks, 8), ku)] + d = R.transpose(b, 40) + R.need(R.mm(b, d) == [{i:F(5)} for i in range(8)], "BD equals5I for every single minor") + R.need(R.mm(R.transpose(ks, 8), ks) == [{i:F(2)} for i in range(8)], "Selected response block is zero") + signs = {j:F(-1) if j in selected else F(1) for j in range(48)} + a = [{i:signs[i]} for i in range(48)] + for row, outer in zip(a, gram): + R.add(row, outer, F(-1, 8)) + kernel = [{j:signs[i]*v for j, v in row.items()} for i, row in enumerate(kt)] + R.need(R.mm(a, kernel) == [{} for _ in range(48)], "Eight explicit kernel columns") + R.need(rank(a) == 40 and rank(R.transpose(kernel, 8)) == 8, "Exact rational kernel dimension") + chosen = next(minor for j, minor in enumerate(minors) if j != index) + local = [ordinary.index(position[j]) for j in chosen] + square = [{j:row[q] for j, q in enumerate(local) if q in row} for row in b] + R.need(R.mm(square, R.transpose(square, 8)) == R.eye(8), "Dyadic-unit ordinary B minor") + m = [{local[j]:v for j, v in row.items()} for row in square] + R.need(R.mm(m, d) == R.eye(8), "Explicit dyadic log with MD equalI") + R.need(rank(b+m) == rank(b+m, 5) == 16, "Full query split overQ and modulo5") + matched = [{j:v/5 for j, v in row.items()} for row in b] + R.need(R.mm(matched, d) == R.eye(8) and rank(b+matched) == 8, "Rational matched log removes the split") + R.need(any(v.denominator % 5 == 0 for row in matched for v in row.values()), "Matched log requires division by5") + # The complement of five minors is one complete square minor. + R.need(R.mm(R.transpose(ks, 8), ks) == [{i:F(2)} for i in range(8)], "Five-minor ordinary H is zero") + reports.append(dict(selected_minor=index, data_rank=40, data_kernel_dimension=8, + centre_product="5I8", dyadic_query_rank=16, + modular_prime=5, matched_rational_query_rank=8, + five_minor_ordinary_nullity=8)) + report = dict(status="PASS_ACTUAL_COMPLETE_MINOR_ENDPOINTS", cases=reports, + source_payload_sha256=R.STRUCTURED_PIN, + helper_checker_sha256=sha256((HERE/"check_review.py").read_bytes()).hexdigest(), + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest()) + (HERE/"INTERFACES.json").write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"], flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_review.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_review.py new file mode 100644 index 0000000000..38073725b5 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/check_review.py @@ -0,0 +1,455 @@ +"""Review the changed centre response, native words, gauges, and metric.""" + +import ast +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +import gzip +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +FAMILY = LANES / "controller-followthrough-20261017" +PARTIAL = FAMILY / "partial-orthogonal" +STRUCTURED = FAMILY / "structured-centres" +CORE_PIN = "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa" +STRUCTURED_PIN = "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1" +SYMMETRIC_PIN = "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +GAUGES_V2_PIN = "deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733" +FREEZES = { + PARTIAL: "b3938cd51d756df996f8421742c88bd96ab8fcddc7372c373c6fcbc5048d2bf1", + STRUCTURED: "5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19", +} + + +def need(value, label): + if not value: + raise ValueError(label) + + +def digest(path): + return sha256(path.read_bytes()).hexdigest() + + +def load_gzip(path, pin=None): + raw = gzip.decompress(path.read_bytes()) + if pin: + need(sha256(raw).hexdigest() == pin, "Compressed source pin") + return json.loads(raw) + + +def decode(rows): + return [{int(k): F(v) for k, v in row.items() if F(v)} for row in rows] + + +def add(a, b, scale=F(1)): + for key, value in b.items(): + result = a.get(key, F(0)) + scale*value + if result: + a[key] = result + else: + a.pop(key, None) + + +def eye(n): + return [{i: F(1)} for i in range(n)] + + +def transpose(a, columns=None): + answer = [{} for _ in range(len(a) if columns is None else columns)] + for i, row in enumerate(a): + for j, value in row.items(): + answer[j][i] = value + return answer + + +def mm(a, b): + result = [] + for row in a: + target = {} + for j, value in row.items(): + add(target, b[j], value) + result.append(target) + return result + + +def determinant(a): + a = [dict(row) for row in a] + value = F(1) + for j in range(len(a)): + pivot = next((i for i in range(j, len(a)) if a[i].get(j)), None) + if pivot is None: + return F(0) + if pivot != j: + a[pivot], a[j] = a[j], a[pivot] + value = -value + value *= a[j][j] + for i in range(j+1, len(a)): + if a[i].get(j): + add(a[i], a[j], -a[i][j]/a[j][j]) + return value + + +def scalar_price(gate): + op = gate[0] + if op in ("clear", "copy"): + return 2 + coefficient = F(*gate[-2:]) + a, b = abs(coefficient.numerator), coefficient.denominator + need(a and b & (b-1) == 0, "Nonzero dyadic scalar") + if op == "scale": + need(a & (a-1) == 0, "Dyadic unit SCALE") + return 2*(abs((a.bit_length()-1)-(b.bit_length()-1)) + int(coefficient < 0)) + need(op == "add", "Scalar opcode") + return 2*(3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1)) + + +def native_replay(events, word, reference, response, backward): + size = len(word["start"]) + state = {i: {(i, ()): F(1)} for i in range(size+8)} + frames = dict(enumerate(word["start"]+[0]*8)) + private = set() + price, macros = 0, 0 + profile = Counter() + + def slot(token): + if token[0] == "L": + need(0 <= token[1] < size, "Live field range") + return token[1] + if token[0] == "C": + need(0 <= token[1] < 8, "Owned field range") + return size+token[1] + need(token[0] == "Z", "Private field namespace") + return ("Z", token[1]) + + for event in events: + tag = event[0] + if tag == "scalar": + gate, frame = event[1:] + op, target = gate[0], slot(gate[1]) + price += scalar_price(gate) + macros += 1 + if op == "clear": + need(isinstance(target, int) and target >= size, "Only owned inputs are cleared") + state[target], frames[target] = {}, frame + else: + need(frames[target] == frame, "Target physical frame") + if op == "scale": + coefficient = F(*gate[2:4]) + state[target] = {k: coefficient*v for k, v in state[target].items() if coefficient*v} + else: + source = slot(gate[2]) + need(target != source and frames[source] == frame, "Source physical frame") + if op == "copy": + need(isinstance(target, int) and target >= size, "Owned COPY target") + state[target] = dict(state[source]) + else: + add(state[target], state[source], F(*gate[3:5])) + elif tag == "climb": + target, old, new, rank = event[2:6] + need(frames[target] == old, "Native input frame") + need(len(word["frames"][new])-len(word["frames"][old]) == rank, "Native rank difference") + frames[target] = new + profile[rank] += 1 + elif tag == "warp": + target, op, old, new = slot(event[1]), event[2], event[3], event[4] + need(frames[target] == old, "Warp input frame") + frames[target] = new + out = {} + for (source, history), coefficient in state[target].items(): + history = history[1:] if history and history[0] == -op else (op,)+history + add(out, {(source, history): coefficient}) + state[target] = out + elif tag == "zero_buffer": + target = ("Z", event[2]) + if event[1] == "alloc": + need(target not in private, "Private zero allocation") + private.add(target) + state[target], frames[target] = {}, 1 + else: + need(target in private and not state[target], "Private zero return") + private.remove(target) + del state[target], frames[target] + else: + need(tag in ("phase", "adapter", "residual_adapter"), "Known native record") + expected = {i: {(i, ()): F(1)} for i in range(size+8)} + for i in range(size, size+8): + expected[i] = {} + for i, row in enumerate(response): + for j, value in row.items(): + target, source = (j, 112+i) if backward else (112+i, j) + add(expected[target], {(source, ()): -value if backward else value}) + need(state == expected, "All arbitrary data, helper, and owned columns") + need(not private and [frames[i] for i in range(size)] == word["final"], "Endpoint frame and private contract") + need(all(frames[i] == 0 for i in range(size, size+8)), "Owned endpoint frames") + fixed = lambda stream: [e for e in stream if e[0] not in ("scalar", "phase")] + need(fixed(events) == fixed(reference), "Every native, adapter, and zero-buffer record is unchanged") + phases = lambda stream: [e for e in stream if e[0] == "phase"] + need(len(phases(events)) == len(phases(reference)) and phases(events)[1:] == phases(reference)[1:], + "Only the first descriptive phase label changes") + need(profile == {1:2433, 2:724, 3:228, 4:102, 5:20}, "Complete recursive child profile") + return dict(arbitrary_input_columns=size+8, scalar_real_primitives=price, scalar_macros=macros, + native_profile=dict(profile), native_rank_mass=sum(k*v for k, v in profile.items()), + native_children=sum(profile.values()), borrowed_helpers_restored=size-224, + private_zero_buffers_restored=len(word["zero_buffers"]), owned_outputs_zero=8) + + +def gauge_replay(events): + state = eye(112)+[{}] + price, query_starts = 0, 0 + for event in events: + need(event[0] == "scalar" and event[2] == 0, "Common-frame gauge event") + gate = event[1] + op = gate[0] + field = lambda token: 112 if token == ["C", 0] else token[1] + target = field(gate[1]) + price += scalar_price(gate) + if op == "copy": + need(target == 112 and not state[target], "Known-zero serial owned field") + state[target] = dict(state[field(gate[2])]) + query_starts += 1 + elif op == "scale": + value = F(*gate[2:4]) + state[target] = {k: value*v for k, v in state[target].items() if value*v} + else: + need(op == "add" and target != field(gate[2]), "Gauge ADD") + add(state[target], state[field(gate[2])], F(*gate[3:5])) + need(not state[112] and query_starts == 8, "Eight complete queries restore C0") + return state[:112], price + + +def lift(value): + for shift in range(11): + denominator = 1 << shift + numerator = int(value)*denominator % 1000003 + if numerator > 500001: + numerator -= 1000003 + if abs(numerator) <= 64: + return F(numerator, denominator) + raise ValueError("No declared small dyadic lift") + + +def symmetric_review(geometry, structured_response, centres): + path = LANES / "oblique-native-20261017/interior-cut/SYMMETRIC-RESPONSE-SEARCH.json" + need(digest(path) == SYMMETRIC_PIN, "Pinned symmetric family") + data = json.loads(path.read_text()) + matrices = [] + basis = {} + for direction in data["symmetric_directions"]: + matrix = [{} for _ in range(112)] + for key, value in direction["effect"].items(): + i, j = ast.literal_eval(key) + matrix[i][j] = lift(value) + need(transpose(matrix) == matrix and all(i not in row for i, row in enumerate(matrix)), + "Exact symmetric zero-diagonal direction") + row = {112*i+j: value for i, source in enumerate(matrix) for j, value in source.items()} + while row: + pivot = min(row) + if pivot in basis: + add(row, basis[pivot], -row[pivot]) + else: + value = row[pivot] + basis[pivot] = {k: v/value for k, v in row.items()} + break + need(row, "Independent symmetric direction") + matrices.append(matrix) + need(len(matrices) == len(basis) == 42, "Exact family dimension") + large = set(geometry["large_ports"]) + small = set(range(112))-large + for matrix in matrices[:32]: + need(all((i in small and set(row) <= small) or not row for i, row in enumerate(matrix)), + "The first32 directions have support only on the64-port block") + factors = [F(2) if i in (0, 5) else F(-1) for i in range(8)] + witness, formed, projectors = [{} for _ in range(112)], [{} for _ in range(112)], [] + for index, matrix in enumerate(matrices): + if index < 32: + weight = F(2 if index % 4 in (2, 3) else 1) + elif index < 40: + weight = 1/factors[index-32] + else: + weight = F(0) + for dest, row in zip(formed, matrix): + add(dest, row, weight) + if 32 <= index < 40: + for dest, row in zip(witness, matrix): + add(dest, row, weight/6) + adjacency = [{j: weight*v for j, v in row.items()} for row in matrix] + projector = mm(adjacency, adjacency) + for dest, row in zip(projector, adjacency): + add(dest, row, -4) + projector = [{j: v/5 for j, v in row.items()} for row in projector] + need(mm(projector, projector) == projector and sum(row.get(i, 0) for i, row in enumerate(projector)) == 6, + "Each vertex has a rank-six range projector") + centre = centres[index-32] + expected = [{j: centre.get(i, 0)*v/2 for j, v in centre.items() if centre.get(i, 0)*v} + for i in range(112)] + for dest, row in zip(expected, projector): + add(dest, row, -1) + need(expected == adjacency, "Each vertex response is its centre outer product minus its range projector") + projectors.append(projector) + need(formed == structured_response and witness == decode(geometry["witness"]), "Independent family and witness assembly") + total = [{} for _ in range(112)] + for i, projector in enumerate(projectors): + for dest, row in zip(total, projector): + add(dest, row) + for other in projectors[:i]: + need(mm(projector, other) == [{} for _ in range(112)], "Orthogonal vertex mode spaces") + need(total == [{i: F(1)} if i in large else {} for i in range(112)], "Vertex spaces cover exactly the 48 ports") + incidence_counts = Counter() + # Expand each scalar polynomial directly. Off-diagonal monomials combine. + for column in range(112): + linear = [{} for _ in range(112)] + for variable, matrix in enumerate(matrices): + for row in range(112): + if column in matrix[row]: + linear[row][variable] = matrix[row][column] + polynomial = {} + for i, row in enumerate(witness): + for j, y in row.items(): + for a, left in linear[i].items(): + for b, right in linear[j].items(): + add(polynomial, {tuple(sorted((a, b))): y*left*right}) + if column in small: + expected = {(40, 40):F(1, 6), (40, 41):F(-2, 3), (41, 41):F(7, 8)} + else: + incident = [i for i in range(8) if column in centres[i]] + need(len(incident) == 2, "Two vertices per physical column") + incidence_counts.update(incident) + expected = {(32+i, 32+i):F(5, 3)*factors[i]**2 for i in incident} + need(polynomial == expected, "Exact quadratic-form polynomial at each physical column") + need(incidence_counts == {i:12 for i in range(8)}, "Every constrained centre coefficient occurs") + need(F(7, 8)*F(1, 6)-F(1, 3)**2 == F(5, 144), "Strict positive two-by-two certificate") + return dict(dimension=42, column_polynomials=112, positive_block_determinant="5/144", + forced_zero_coefficients=list(range(32, 42)), sharp_rank_bound=64) + + +def main(): + manifest_pins = {} + for directory, pin in FREEZES.items(): + need(digest(directory/"FREEZE.json") == pin, "Producer freeze pin") + manifest = json.loads((directory/"FREEZE.json").read_text()) + for name, expected in manifest["artifacts"].items(): + need(digest(directory/name) == expected, "Frozen producer artifact " + name) + manifest_pins[str(directory.relative_to(LANES))] = pin + core = load_gzip(LANES/"new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz", CORE_PIN) + structured = load_gzip(STRUCTURED/"STRUCTURED-CENTRES-PROGRAM.json.gz", STRUCTURED_PIN) + partial_receipt = json.loads((PARTIAL/"PARTIAL-ORTHOGONAL.json").read_text()) + partial = load_gzip(PARTIAL/"PARTIAL-ORTHOGONAL-PROGRAM.json.gz", partial_receipt["payload_decompressed_sha256"]) + geometry = json.loads((PARTIAL/"SYMMETRIC-FAMILY.json").read_text()) + receipt = json.loads((STRUCTURED/"STRUCTURED-CENTRES.json").read_text()) + reports = {} + for family, packet, price in (("partial", partial, 86664), ("structured", structured, 87360)): + response = decode(packet["response"]) + detail = {} + for provider, item in packet["providers"].items(): + need(item["canonical"] == core["providers"][provider]["canonical"], "Actual canonical source word") + for direction in ("forward", "backward"): + result = native_replay(item["programs"][direction], item["canonical"], + core["providers"][provider]["programs"][direction], + response, direction == "backward") + need(result["scalar_real_primitives"] == price, "Independent complete scalar invoice") + detail[provider+"_"+direction] = result + reports[family] = detail + expected_det = -F(2**88) if family == "partial" else F(2**64*5**8) + need(determinant(response) == expected_det, "Independent response determinant") + print(family, "four native words and full invoice pass", flush=True) + e = decode(structured["response"]) + k = decode(structured["centre_rows"]) + large = sorted({p for row in k for p in row}) + small = sorted(set(range(112))-set(large)) + need(len(k) == 8 and len(large) == 48 and all(len(row) == 12 and all(abs(v) == 1 for v in row.values()) for row in k), + "Eight signed twelve-port centre rows") + need(mm(k, transpose(k, 112)) == [{i:F(12)} for i in range(8)], "Actual centre Gram12I") + outer = mm(transpose(k, 112), k) + square = mm(e, e) + for i in range(112): + if i in small: + need(set(e[i]) <= set(small) and square[i] == {i:F(4)}, "Closed Hadamard response") + else: + expected = {j:v/2 for j, v in outer[i].items()} + add(expected, {i:F(1)}, -1) + need(e[i] == expected, "Exact E48 formula") + need(e == transpose(e), "Symmetry on all 112 ports") + inverse = decode(structured["inverse"]) + need(mm(e, inverse) == mm(inverse, e) == eye(112), "Both rational inverse orders") + minors = receipt["orthogonal_minor_ports"] + need(len(minors) == 6 and sorted(p for minor in minors for p in minor) == large, "Six-minor exact partition") + for minor in minors: + restricted = [{p:v for p, v in row.items() if p in minor} for row in k] + need(mm(restricted, transpose(restricted, 112)) == [{i:F(2)} for i in range(8)], "Each complete minor has Gram2I") + subsets, balanced = [], 0 + for mask in range(64): + selected = {p for i, minor in enumerate(minors) if mask >> i & 1 for p in minor} + ordinary = set(large)-selected + count = mask.bit_count() + for fields, expected in ((selected, count), (ordinary, 6-count)): + restricted = [{p:v for p, v in row.items() if p in fields} for row in k] + need(mm(restricted, transpose(restricted, 112)) == [{i:F(2*expected)} if expected else {} for i in range(8)], + "Every union of complete minors has the required Gram") + if count in (1, 2, 3, 4): + h, hi = eye(112), eye(112) + for i in ordinary: + row = {j:v for j, v in outer[i].items() if j in ordinary} + add(h[i], row, F(-1, 2)) + add(hi[i], row, F(1, 2*(count-5))) + need(mm(h, hi) == mm(hi, h) == eye(112), "Ordinary inverse for every valid union") + if count in (2, 3, 4): + signs = {i:F(-1) if i in selected else F(1) for i in range(112)} + a = [{i:signs[i]} for i in range(112)] + ai = [{i:signs[i]} for i in range(112)] + for i in large: + add(a[i], outer[i], F(1, 2*(count-5))) + add(ai[i], {j:signs[i]*v*signs[j] for j, v in outer[i].items()}, F(1, 2*(count-1))) + need(mm(a, ai) == mm(ai, a) == eye(112), "Data inverse for every valid union") + if count == 3: + need(all(value.denominator & (value.denominator-1) == 0 for matrix in (h, hi, a, ai) for row in matrix for value in row.values()), + "Every balanced interface is dyadic") + kp = [{j:signs[j]*v for j, v in row.items()} for row in k] + need(mm(kp, transpose(k, 112)) == [{} for _ in range(8)], "Balanced signed Gram is zero") + balanced += 1 + subsets.append(dict(mask=mask, selected_minors=count, selected_ports=len(selected))) + gauges = json.loads((STRUCTURED/"RANK8-GAUGES.json").read_text()) + gauge_maps, gauge_prices = {}, {} + for name, program in gauges["programs"].items(): + gauge_maps[name], gauge_prices[name] = gauge_replay(program) + need(gauge_prices[name] == gauges["reports"][name]["scalar_real_primitives"], "Independent serial gauge invoice") + for name in ("data", "ordinary"): + need(mm(gauge_maps[name], gauge_maps[name+"_inverse"]) == mm(gauge_maps[name+"_inverse"], gauge_maps[name]) == eye(112), "Literal gauge inverse orders") + selected, ordinary = set(gauges["selected_ports"]), set(gauges["ordinary_ports"]) + signs = {i:F(-1) if i in selected else F(1) for i in range(112)} + wanted = [{i:signs[i]} for i in range(112)] + for i in large: + add(wanted[i], outer[i], F(-1, 4)) + need(gauge_maps["data"] == wanted, "Literal data gauge equals P minus Gram/4") + wanted = eye(112) + for i in ordinary: + add(wanted[i], {j:v for j, v in outer[i].items() if j in ordinary}, F(-1, 2)) + need(gauge_maps["ordinary"] == wanted, "Literal ordinary gauge equals its formula") + need(digest(STRUCTURED/"GAUGES-V2-FREEZE.json") == GAUGES_V2_PIN, "Separate V2 gauge freeze") + gauge_manifest = json.loads((STRUCTURED/"GAUGES-V2-FREEZE.json").read_text()) + for name, pin in gauge_manifest["artifacts"].items(): + need(digest(STRUCTURED/name) == pin, "Frozen V2 artifact " + name) + gauges_v2 = json.loads((STRUCTURED/"RANK8-GAUGES-V2.json").read_text()) + gauge_v2_prices = {} + for name, program in gauges_v2["programs"].items(): + actual, gauge_v2_prices[name] = gauge_replay(program) + need(actual == gauge_maps[name], "Scaled-query V2 has the identical complete map and zero output") + expected = 2368 if name.startswith("data") else 1172 + need(gauge_v2_prices[name] == expected == gauges_v2["reports"][name]["scalar_real_primitives"], + "Independent V2 scalar invoice") + metric = symmetric_review(geometry, e, k) + report = dict(status="PASS_INDEPENDENT_STRUCTURED_CENTRE_REVIEW", producer_freezes=manifest_pins, + source_core_decompressed_sha256=CORE_PIN, structured_payload_sha256=STRUCTURED_PIN, + native_programs=reports, centre_gram="12I8", centre_support_ports=large, + complete_minor_gram="2I8", all_minor_subsets=subsets, balanced_dyadic_subsets=balanced, + scalar_gauge_prices=gauge_prices, gauge_owned_contract="C0 starts and ends at zero; 112 arbitrary data fields", + scalar_gauge_v2_prices=gauge_v2_prices, gauge_v2_freeze_sha256=GAUGES_V2_PIN, + metric=metric, checker_sha256=digest(Path(__file__))) + (HERE/"REVIEW.json").write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"], "all64minor subsets;20balanced dyadic interfaces", flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL-PROGRAM.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL-PROGRAM.json.gz new file mode 100644 index 0000000000..d4351efe09 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL-PROGRAM.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL.json new file mode 100644 index 0000000000..ecfcebc65b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/PARTIAL-ORTHOGONAL.json @@ -0,0 +1,237 @@ +{ + "checker_sha256": "9bcfd1d91219fd896d90c3f722ff29480a74ee3e838633d40ede3f56ffbce3da", + "determinant": "-309485009821345068724781056", + "doubled_modes": [ + 2, + 3, + 6, + 7, + 10, + 11, + 14, + 15, + 18, + 19, + 22, + 23, + 26, + 27, + 30, + 31, + 34, + 35, + 38, + 39, + 42, + 43, + 46, + 47, + 50, + 51, + 54, + 55, + 58, + 59, + 62, + 63 + ], + "orthogonal_gram_factor": 4, + "orthogonal_ports": [ + 1, + 3, + 4, + 5, + 6, + 8, + 12, + 17, + 18, + 19, + 22, + 23, + 24, + 26, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 38, + 39, + 40, + 45, + 48, + 49, + 50, + 54, + 55, + 56, + 58, + 59, + 60, + 64, + 65, + 66, + 67, + 68, + 69, + 73, + 74, + 75, + 77, + 80, + 82, + 83, + 84, + 85, + 86, + 88, + 93, + 95, + 96, + 97, + 98, + 100, + 101, + 102, + 103, + 107, + 108, + 109 + ], + "payload_decompressed_sha256": "1aee4832ca7ae09e39986e976e36e567b77e757a7b99416b3c8952950991fc80", + "providers": { + "base": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + } + } + }, + "remaining_ports": [ + 0, + 2, + 7, + 9, + 10, + 11, + 13, + 14, + 15, + 16, + 20, + 21, + 25, + 27, + 36, + 37, + 41, + 42, + 43, + 44, + 46, + 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Its 64-port restriction is symmetric and has square 4I. Its 48-port restriction is unchanged. A whole-supplier decoder and recursive cost are not established.", + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "source_pins": { + "RESPONSE-SPACE.json": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "UNIT-MODE-CANDIDATE.json": "d61d7447a499973afe49b7e422c51070262fc83229a82b7ff0ebb0238605d2fd" + }, + "status": "PASS_NATIVE_PARTIAL_ORTHOGONAL_RESPONSE" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/RANK8-GAUGES-V2.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/producer-replay/RANK8-GAUGES-V2.json new file mode 100644 index 0000000000..8a482412c6 --- /dev/null +++ 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a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/replay_producers.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/replay_producers.py new file mode 100644 index 0000000000..459f702e34 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/bridge-review-20261017/structured-centres-review-20261018/replay_producers.py @@ -0,0 +1,61 @@ +"""Repeat the producer checks without writes to their frozen paths.""" + +from hashlib import sha256 +import json +from pathlib import Path +import runpy +import sys +from unittest.mock import patch + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +OUTPUT = HERE / "producer-replay" +FAMILY = "controller-followthrough-20261017/" +JOBS = [ + (FAMILY+"partial-orthogonal/check_partial_orthogonal.py", + ["PARTIAL-ORTHOGONAL.json", "PARTIAL-ORTHOGONAL-PROGRAM.json.gz"]), + (FAMILY+"partial-orthogonal/check_symmetric_family.py", ["SYMMETRIC-FAMILY.json"]), + (FAMILY+"structured-centres/check_structured_centres.py", + ["STRUCTURED-CENTRES.json", "STRUCTURED-CENTRES-PROGRAM.json.gz"]), + (FAMILY+"structured-centres/check_rank8_gauges.py", ["RANK8-GAUGES.json"]), + (FAMILY+"structured-centres/check_rank8_gauges_v2.py", ["RANK8-GAUGES-V2.json"]), +] + + +def main(): + OUTPUT.mkdir(exist_ok=True) + for directory in ("partial-orthogonal", "structured-centres"): + sys.path.insert(0, str(LANES / FAMILY / directory)) + receipts = [] + write_text, write_bytes = Path.write_text, Path.write_bytes + for name, outputs in JOBS: + source = LANES / name + pins = {output: sha256((source.parent/output).read_bytes()).hexdigest() for output in outputs} + + def destination(path): + if path.parent != source.parent or path.name not in outputs: + raise ValueError("Undeclared producer write: " + str(path)) + return OUTPUT / path.name + + def redirect_text(path, *args, **kwargs): + return write_text(destination(path), *args, **kwargs) + + def redirect_bytes(path, *args, **kwargs): + return write_bytes(destination(path), *args, **kwargs) + + with patch.object(Path, "write_text", redirect_text), patch.object(Path, "write_bytes", redirect_bytes): + runpy.run_path(str(source), run_name="__main__") + for output in outputs: + original = sha256((source.parent/output).read_bytes()).hexdigest() + actual = sha256((OUTPUT/output).read_bytes()).hexdigest() + if original != pins[output] or actual != original: + raise ValueError("Producer output mismatch: " + output) + receipts.append(dict(source=name, output=output, sha256=actual, + source_unchanged=True, output_equal=True)) + (HERE/"PRODUCER-REPLAY.json").write_text(json.dumps(receipts, indent=2, sort_keys=True)+"\n") + print("ALL_PRODUCER_OUTPUTS_BYTE_EQUAL", flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz new file mode 100644 index 0000000000..aaebe41c87 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json new file mode 100644 index 0000000000..3edeb9b007 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json @@ -0,0 +1,193 @@ +{ + "checker_sha256": "e552e541bf681dc411aeb987bf0903efa367f2acdd3af4d611999b7e947d0b9b", + "component_signs": [ + 1, + -1, + 1, + -1, + 1, + -1, + 1, + -1 + ], + "determinants": { + "data": "1", + "full_response": "7205759403792793600000000", + "large_response": "390625", + "ordinary": "1/16", + "selected": "1/16" + }, + "gauge_reports": { + "data": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "data_inverse": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "ordinary": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + }, + "ordinary_inverse": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + } + }, + "geometry_sha256": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "independent_elimination_prices": { + "data": 10982, + "data_inverse": 10982, + "ordinary": 7384, + "ordinary_inverse": 7384 + }, + "partner_centre_minor_determinant": "-4", + "partner_ports": [ + 20, + 27, + 53, + 57, + 72, + 94, + 105, + 111 + ], + "payload_decompressed_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "providers": { + "base": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + } + }, + "residual_ports": [ + 2, + 9, + 10, + 11, + 13, + 14, + 16, + 21, + 25, + 37, + 41, + 43, + 44, + 47, + 51, + 52, + 61, + 62, + 63, + 70, + 71, + 76, + 78, + 81, + 87, + 90, + 91, + 92, + 99, + 104, + 106, + 110 + ], + "response_space_sha256": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "scope": "Native core and exact common-frame gauges. The structured gauge words agree with independent exact elimination. Physical selected boundaries, inter-stage views, supplier decoder, and recursive pricing remain separate.", + "selected_centre_minor_determinant": "-4", + "selected_ports": [ + 0, + 7, + 15, + 36, + 42, + 46, + 79, + 89 + ], + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES", + "symmetric_source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md new file mode 100644 index 0000000000..85b92e731e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md @@ -0,0 +1,201 @@ +# Eight selected ports with dyadic inverse gauges + +This packet changes the signs of four of the eight six-mode components +in the native 48-port response. The selected and ordinary principal +blocks are both dyadic units. Only eight ports are selected. The native +core has the same children as the preceding response. This result does +not yet give a complete supplier or a terminal decoder. + +The earlier exclusion of all sets of at most nine ports applies to the +fixed positive component response. The response in this packet is +different. No conclusion of that exclusion is changed. + +## The signed response + +Use the exact pair columns and centre rows in the frozen +`../partial-orthogonal/SYMMETRIC-FAMILY.json`. Each vertex `v` has six +orthogonal signed pair columns of squared norm two. Let `P_v` be the +orthogonal projector onto their span. Let `K_v` be their sum, as a row. +The projectors are orthogonal and sum to the identity on 48 ports. Also, + +```text +K K^T = 12 I_8, +P_v K_w^T = delta(v,w) K_w^T. +``` + +Put `alpha=(1,-1,1,-1,1,-1,1,-1)` and `D_alpha=diag(alpha)`. Define + +```text +G = sum_v alpha_v P_v, +J = G - K^T D_alpha K / 2. +``` + +On each physical pair, the two component projectors are the sum and +difference projectors. Thus `G` is a signed permutation of physical +ports. If the signs at the two endpoints agree, it is a signed identity +on that pair. If they differ, it is a signed exchange. In particular, +`G^2=I` and `G K^T=K^T D_alpha`. + +The inverse and determinant on this block are + +```text +J^-1 = G - K^T D_alpha K / 10, +det(J) = 5^8. +``` + +These formulas follow on the six-dimensional range of each `P_v`. +There are five eigenvalues `alpha_v` and one eigenvalue `-5 alpha_v`. +The full response is not a dyadic unit. This is not needed for the +principal-block interface below. + +The other 64 ports retain exactly the negative Hadamard response from +the preceding packet. Its square is `4I`. There is no coupling between +these 64 ports and the 48-port block. + +## The eight selected ports + +Select, in this order, + +```text +S = [0, 7, 15, 36, 42, 46, 79, 89]. +``` + +The corresponding selected graph is two unbalanced four-cycles, on +vertices `0,1,2,3` and `4,5,6,7`. Each edge crosses the sign partition. +Only one physical port from each of these eight pairs is selected. +Consequently `G_SS=0`. The square centre minor `K_S` has determinant +`-4` and is a dyadic unit. + +Let `L=J_SS` and `H=J_UU`, where `U` contains the other 40 ports. Then + +```text +L = -K_S^T D_alpha K_S / 2, +(J^-1)_SS = L/5, +det(L) = 1/16. +``` + +Jacobi's complementary principal-minor identity gives + +```text +det(H) = det(J) det((J^-1)_SS) = det(L) = 1/16. +``` + +Both `L` and `H` have dyadic entries and dyadic-unit determinants. Their +inverses therefore have dyadic entries. The checker forms the complete +inverse matrices and checks both inverse orders exactly. + +Eight is the minimum possible selection size within this sign family. +For any component signs, every entry of `J^-1` lies in +`(1/5) Z[1/2]`, and `det(J)` is a signed dyadic unit times `5^8`. +For a selected set of size `s<8`, Jacobi's identity therefore puts +`det(J_UU)` in `5^(8-s) Z[1/2]`. It cannot be a dyadic unit. This proof +does not constrain response families beyond the stated component signs. + +## A scalar ordinary gauge with no extra storage + +Let `T=G(S)` be the eight physical partners of `S`. Let `R` contain the +remaining 32 ordinary ports. The packet uses sorted physical port order +for both sets. Since `G` is an involution, it is zero on the `T,T` and +`T,R` blocks, and its `R,R` block `G_R` is a signed permutation. +The square matrix `K_T` is a dyadic unit. + +The following six steps implement `H` on arbitrary ordinary data +`(t,r)`. In the middle of the word, the eight fields at `T` hold centre +coordinates. They are data fields, not additional clean workspace. + +```text +t <- K_T t +t <- t + K_R r +t <- -D_alpha t/2 +r <- G_R r +r <- r + K_R^T t +t <- K_T^T t +``` + +Expansion gives + +```text +t_final = -K_T^T D_alpha (K_T t + K_R r)/2, +r_final = G_R r - K_R^T D_alpha (K_T t + K_R r)/2. +``` + +This is exactly `H`. Every factor is a dyadic unit. Reverse the steps +and invert each factor to obtain `H^-1`. The emitted word includes every +signed exchange. It uses no owned centre field and no native child. + +## The data interface + +Write the 48-port response in blocks as `J=[[L,B],[D,H]]`. The retained +selected exchange, raw backward core, ordinary `H^-1` gauge, and upper +subtraction of `B` give the data map + +```text +A = [[-L + B H^-1 D, -B H^-1], + [-H^-1 D, H^-1]]. +``` + +Its inverse and determinant are + +```text +A^-1 = [[-L^-1, -L^-1 B], + [-D L^-1, H - D L^-1 B]], +det(A) = (-1)^8 det(L)/det(H) = 1. +``` + +An explicit factorization is + +```text +A = [[I,-B],[0,I]] diag(-L,H^-1) [[I,0],[-D,I]]. +``` + +The checker emits these two shears, the eight-port factor `-L`, and the +ordinary inverse word. It also computes an independent exact elimination +of `A` over the dyadic ring. The two resulting maps agree on all input +columns. All four emitted gauges act as the identity on the separate +64-port block; its gauge is a separate physical-boundary obligation. + +| Common-frame gauge | Real scalar primitives | Extra owned fields | Native children | +| --- | ---: | ---: | ---: | +| `H` | 1,648 | 0 | 0 | +| `H^-1` | 1,648 | 0 | 0 | +| `A` | 4,720 | 0 | 0 | +| `A^-1` | 4,720 | 0 | 0 | + +For clarity about the selected phase, with logical input +`x=(a,u), y=(b,v)` and selected intrinsic operator `Q`, the corresponding +backward interface has data part `A(Qa,u)` and borrowed part `(Q^-1 b,-v)`. +The selected retired Y carries `Qa` in its logical hole representation. +This is physical completed `a`, not a free conversion of `Qa` to `a`. +The packet does not assume that `Q` commutes with `A`, `B`, or `D`. + +## Native word and checks + +Only scalar transfer coefficients in the pinned one-way core are changed. +All native child records remain byte-identical. The exact replay checks +both providers and both directions on all 640 independent input columns. +It checks restoration of all 408 arbitrary borrowed helper fields, +all 91 private zero buffers, and all eight owned C fields. + +The core costs 87,360 real scalar primitives, has 3,507 native children, +and has native rank mass 5,073 in each direction. Full boundary gauges, +source access, inter-stage transport, decoder phases, and recursive +children must still be charged in a complete supplier. + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py +``` + +Both commands must print `PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES` and +produce byte-identical receipts and payloads. `FREEZE.json` records the +source, checker, proof, receipt, and native payload hashes. + +This is AI-assisted research. It builds on the oblique-native interior +response, the controller lane's pair geometry and structured centre +response, and the new-core-transfer native replay. The bridge-review +lane supplied the six-step ordinary gauge and the general data-interface +inverse. The budget-geometry lane independently derived the sharp +eight-port lower bound for this sign family. This packet makes no kappa +or frontier claim. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json new file mode 100644 index 0000000000..bed49bcd17 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json @@ -0,0 +1,12 @@ +{ + "artifacts": { + "BIPARTITE-EIGHT-PROGRAM.json.gz": "b2fb08cb6325003cf1fa8eaa7bd29279a437ddfc5b9bd0d24561959cd829c01f", + "BIPARTITE-EIGHT.json": "da5e354b51adb14447d073fb7867902398686471d8592d1c90860ca4aec25771", + "BIPARTITE-EIGHT.md": "d6cf5e7b2f8adb70a0eeeace3b9528e5c759961de1d79a79c8dbe6e76f36d3dc", + "check_bipartite_eight.py": "e552e541bf681dc411aeb987bf0903efa367f2acdd3af4d611999b7e947d0b9b" + }, + "payload_decompressed_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "schema": "bipartite-eight-native-gauges-v1", + "scope": "Changed native response and exact common-frame ordinary/data unit gauges with8selectedports. Physical boundaries, inter-stage source access, full decoder, and recursive supplier pricing remain separate.", + "validation": "Normal and python -O runs give byte-identical receipts and native payloads. Both providers and directions pass all640columns. Structured scalar gauges agree with independent exact dyadic elimination on all112columns." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py new file mode 100644 index 0000000000..ba4d1213f8 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py @@ -0,0 +1,345 @@ +#!/usr/bin/env python3 +"""Check a signed response with eight selected ports and dyadic gauges.""" +import ast +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import sys + +HERE = Path(__file__).resolve().parent +STRUCTURED = HERE.parent / 'structured-centres' +sys.path.insert(0, str(STRUCTURED)) +import check_structured_centres as source +import check_rank8_gauges as gauge + +p = source.p +SELECTED = [0, 7, 15, 36, 42, 46, 79, 89] +SIGNS = [1, -1, 1, -1, 1, -1, 1, -1] + + +def restrict(matrix, ports): + index = {port: i for i, port in enumerate(ports)} + return [{index[j]: value for j, value in matrix[i].items() if j in index} + for i in ports] + + +def dyadic(value): + return value.denominator & (value.denominator - 1) == 0 + + +def unit(value): + numerator = abs(value.numerator) + return numerator and numerator & (numerator - 1) == 0 and dyadic(value) + + +def inverse_word(word): + result = [] + for event in reversed(word): + gate = event[1] + if gate[0] == 'add': + result.append(gauge.scalar('add', gate[1][1], gate[2][1], -F(*gate[3:5]))) + else: + p.need(gate[0] == 'scale', 'Invertible scalar gate') + result.append(gauge.scalar('scale', gate[1][1], 1 / F(*gate[2:4]))) + return result + + +def swap_word(left, right): + return [gauge.scalar('add', left, right, F(1)), + gauge.scalar('add', right, left, F(-1)), + gauge.scalar('add', left, right, F(1)), + gauge.scalar('scale', right, F(-1))] + + +def monomial_word(matrix, ports): + word, seen = [], set() + for i in ports: + if i in seen: + continue + p.need(len(matrix[i]) == 1, 'Monomial row') + j, coefficient = next(iter(matrix[i].items())) + p.need(j in ports and coefficient in (-1, 1), 'Signed closed monomial') + if i != j: + p.need(matrix[j] == {i: coefficient}, 'Involutory signed pair') + word += swap_word(i, j) + if coefficient == -1: + word += [gauge.scalar('scale', i, F(-1)), gauge.scalar('scale', j, F(-1))] + elif coefficient == -1: + word.append(gauge.scalar('scale', i, F(-1))) + seen.update((i, j)) + return word + + +def factor(matrix, ports): + """Reduce a dyadic-unit matrix with dyadic ADDs and unit SCALEs.""" + size = len(ports) + rows = [[matrix[i].get(j, F(0)) for j in range(size)] for i in range(size)] + word = [] + + def add(target, source_index, coefficient): + if not coefficient: + return + p.need(dyadic(coefficient), 'Dyadic ADD coefficient') + rows[target] = [a + coefficient * b for a, b in zip(rows[target], rows[source_index])] + word.append(gauge.scalar('add', ports[target], ports[source_index], coefficient)) + + def scale(target, coefficient): + if coefficient == 1: + return + p.need(unit(coefficient), 'Dyadic-unit SCALE coefficient') + rows[target] = [coefficient * a for a in rows[target]] + word.append(gauge.scalar('scale', ports[target], coefficient)) + + def swap(left, right): + if left == right: + return + add(left, right, F(1)) + add(right, left, F(-1)) + add(left, right, F(1)) + scale(right, F(-1)) + + for column in range(size): + nonzero = [i for i in range(column, size) if rows[i][column]] + p.need(nonzero, ('Nonsingular gauge', column)) + cheap = [i for i in nonzero if unit(rows[i][column])] + swap(column, min(cheap or nonzero, key=lambda i: abs(rows[i][column]))) + if not unit(rows[column][column]): + for other in range(column + 1, size): + while rows[other][column]: + quotient = rows[other][column] // rows[column][column] + add(other, column, F(-quotient)) + if rows[other][column]: + swap(column, other) + p.need(unit(rows[column][column]), 'Unit pivot after exact row gcd') + scale(column, 1 / rows[column][column]) + for other in range(size): + if other != column: + add(other, column, -rows[other][column]) + p.need(rows == [[F(i == j) for j in range(size)] for i in range(size)], 'Exact elimination') + inverse = gauge.replay(word) + forward_word = inverse_word(word) + forward = gauge.replay(forward_word) + p.need(restrict(forward, ports) == matrix, 'Forward scalar factor') + identity = [{i: F(1)} for i in range(112)] + p.need(p.product(forward, inverse) == p.product(inverse, forward) == identity, 'Both scalar inverse orders') + return forward_word, word, restrict(inverse, ports) + + +def main(): + geometry = source.pin_json(source.PARTIAL / 'SYMMETRIC-FAMILY.json', source.GEOMETRY_PIN) + symmetric = source.pin_json(p.SOURCE / 'SYMMETRIC-RESPONSE-SEARCH.json', source.SYMMETRIC_PIN) + space = p.read('RESPONSE-SPACE.json') + large, small = geometry['large_ports'], geometry['small_ports'] + ordinary = sorted(set(large) - set(SELECTED)) + response = [{} for _ in range(112)] + mode_weights = {} + for i, direction in enumerate(symmetric['symmetric_directions'][:40]): + if i < 32: + weight = F(-2 if i % 4 in (2, 3) else -1) + else: + weight = -F(SIGNS[i - 32], 2) if i in (32, 37) else F(SIGNS[i - 32]) + for pair, value in direction['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(response[row], {column: p.lift(value)}, weight) + for mode, value in direction['recipe'].items(): + mode = int(mode) + mode_weights[mode] = mode_weights.get(mode, F(0)) + weight * p.lift(value) + mode_weights = {i: value for i, value in mode_weights.items() if value} + event_weights = {} + independent = [{} for _ in range(112)] + for mode, coefficient in mode_weights.items(): + for pair, value in space['directions'][mode]['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(independent[row], {column: p.lift(value)}, coefficient) + for position, value in space['directions'][mode]['events'].items(): + position = int(position) + event_weights[position] = event_weights.get(position, F(0)) + coefficient * p.lift(value) + event_weights = {i: value for i, value in event_weights.items() if value} + p.need(response == independent == p.transpose(response), 'Exact symmetric source recipe') + + centres, signed_monomial = [], [{} for _ in range(112)] + inverse = [{} for _ in range(112)] + formula = [{} for _ in range(112)] + for v, vertex in enumerate(geometry['vertices']): + row = {} + for column in vertex['pair_columns']: + column = {int(i): F(value) for i, value in column.items()} + p.add(row, column) + for i, value in column.items(): + for target in (signed_monomial, inverse, formula): + p.add(target[i], column, F(SIGNS[v]) * value / 2) + centres.append(row) + for i, value in row.items(): + p.add(inverse[i], row, -F(SIGNS[v]) * value / 10) + p.add(formula[i], row, -F(SIGNS[v]) * value / 2) + for i in small: + formula[i] = dict(response[i]) + inverse[i] = {j: value / 4 for j, value in response[i].items()} + previous_raw = gzip.decompress((STRUCTURED / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + p.need(sha256(previous_raw).hexdigest() == gauge.PIN, 'Pinned preceding native response') + previous = json.loads(previous_raw) + p.need(all(response[i] == {int(j): -F(value) for j, value in previous['response'][i].items()} + for i in small), 'Unchanged negative Hadamard 64-port response') + p.need(formula == response, 'Signed projector and centre formula') + p.need(all(len(signed_monomial[i]) == 1 and next(iter(signed_monomial[i].values())) in (-1, 1) + for i in large), 'Signed physical port permutation') + identity = [{i: F(1)} for i in range(112)] + p.need(p.product(response, inverse) == p.product(inverse, response) == identity, 'Both full inverse orders') + p.need(all(not signed_monomial[i].get(j) for i in SELECTED for j in SELECTED), 'Selected set crosses sign partition') + selected_block = restrict(response, SELECTED) + selected_inverse_block = restrict(inverse, SELECTED) + p.need(selected_inverse_block == [{j: value / 5 for j, value in row.items()} for row in selected_block], + 'Inverse selected compression is one fifth') + h = restrict(response, ordinary) + determinants = {'selected': p.determinant(selected_block), 'ordinary': p.determinant(h), + 'large_response': p.determinant(restrict(response, large)), 'full_response': p.determinant(response)} + p.need(determinants['selected'] == determinants['ordinary'] == F(1, 16), 'Both principal determinants are dyadic units') + p.need(determinants['large_response'] == 5**8, 'Full 48-port response retains odd determinant') + h_word, hi_word, hi = factor(h, ordinary) + elimination_h_word, elimination_hi_word = h_word, hi_word + partners = sorted(next(iter(signed_monomial[i])) for i in SELECTED) + residual = sorted(set(ordinary) - set(partners)) + p.need(len(partners) == 8 and not set(partners) & set(SELECTED), 'Eight disjoint physical partners') + kt = [{j: row.get(port, F(0)) for j, port in enumerate(partners) if row.get(port)} for row in centres] + ks = [{j: row.get(port, F(0)) for j, port in enumerate(SELECTED) if row.get(port)} for row in centres] + kt_word, _, _ = factor(kt, partners) + ktt_word, _, _ = factor(p.transpose(kt), partners) + h_word = kt_word + for i, row in enumerate(centres): + h_word += [gauge.scalar('add', partners[i], j, row[j]) for j in residual if j in row] + h_word += [gauge.scalar('scale', partners[i], -F(SIGNS[i], 2)) for i in range(8)] + h_word += monomial_word(signed_monomial, residual) + for i, row in enumerate(centres): + h_word += [gauge.scalar('add', j, partners[i], row[j]) for j in residual if j in row] + h_word += ktt_word + hi_word = inverse_word(h_word) + p.need(restrict(gauge.replay(h_word), ordinary) == h, 'Structured ordinary gauge') + p.need(restrict(gauge.replay(hi_word), ordinary) == hi, 'Structured inverse ordinary gauge') + + si, ui = {port: i for i, port in enumerate(SELECTED)}, {port: i for i, port in enumerate(ordinary)} + j_su = [{ui[j]: value for j, value in response[i].items() if j in ui} for i in SELECTED] + j_us = [{si[j]: value for j, value in response[i].items() if j in si} for i in ordinary] + su_hi, hi_us = p.product(j_su, hi), p.product(hi, j_us) + cross = p.product(su_hi, j_us) + data = [{} for _ in range(112)] + for port in small: + data[port] = {port: F(1)} + for i, port in enumerate(SELECTED): + for j, column in enumerate(SELECTED): + value = -selected_block[i].get(j, F(0)) + cross[i].get(j, F(0)) + if value: + data[port][column] = value + p.add(data[port], {ordinary[j]: value for j, value in su_hi[i].items()}, -1) + for i, port in enumerate(ordinary): + data[port] = {ordinary[j]: value for j, value in hi[i].items()} + p.add(data[port], {SELECTED[j]: value for j, value in hi_us[i].items()}, -1) + a = restrict(data, large) + a_word, ai_word, ai = factor(a, large) + elimination_a_word, elimination_ai_word = a_word, ai_word + negative_l = [{j: -value for j, value in row.items()} for row in selected_block] + negative_l_word, _, _ = factor(negative_l, SELECTED) + a_word = [gauge.scalar('add', port, SELECTED[j], -value) + for i, port in enumerate(ordinary) for j, value in sorted(j_us[i].items())] + a_word += negative_l_word + hi_word + a_word += [gauge.scalar('add', port, ordinary[j], -value) + for i, port in enumerate(SELECTED) for j, value in sorted(j_su[i].items())] + ai_word = inverse_word(a_word) + p.need(restrict(gauge.replay(a_word), large) == a, 'Structured data gauge') + p.need(restrict(gauge.replay(ai_word), large) == ai, 'Structured inverse data gauge') + determinants['data'] = p.determinant(a) + p.need(determinants['data'] == 1, 'Unit data determinant') + programs = {'ordinary': h_word, 'ordinary_inverse': hi_word, 'data': a_word, 'data_inverse': ai_word} + maps = {'ordinary': h, 'ordinary_inverse': hi, 'data': a, 'data_inverse': ai} + p.need(all(dyadic(value) for rows in maps.values() for row in rows for value in row.values()), 'All gauge entries are dyadic') + + spec = importlib.util.spec_from_file_location('bipartite_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), 'native_children': 0, + 'owned_fields': 0, 'all_input_columns': 112, 'gates': len(word)} + for name, word in programs.items()} + payload = {'schema': 'bipartite-eight-native-v1', 'response': p.encode(response), + 'inverse': p.encode(inverse), 'selected_ports': SELECTED, 'ordinary_centre_ports': ordinary, + 'large_ports': large, 'small_ports': small, 'component_signs': SIGNS, + 'centre_rows': p.encode(centres), 'signed_monomial': p.encode(signed_monomial), + 'partner_ports': partners, 'residual_ports': residual, + 'gauge_maps': {name: p.encode(rows) for name, rows in maps.items()}, + 'gauge_programs': programs, 'providers': {}} + receipt = {'status': 'PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES', + 'geometry_sha256': source.GEOMETRY_PIN, 'symmetric_source_sha256': source.SYMMETRIC_PIN, + 'response_space_sha256': p.PINS['RESPONSE-SPACE.json'], 'source_core_sha256': probe.PIN, + 'selected_ports': SELECTED, 'component_signs': SIGNS, + 'partner_ports': partners, 'residual_ports': residual, + 'selected_centre_minor_determinant': str(p.determinant(ks)), + 'partner_centre_minor_determinant': str(p.determinant(kt)), + 'determinants': {name: str(value) for name, value in determinants.items()}, + 'gauge_reports': reports, + 'independent_elimination_prices': { + 'ordinary': probe.e.core_price(elimination_h_word), + 'ordinary_inverse': probe.e.core_price(elimination_hi_word), + 'data': probe.e.core_price(elimination_a_word), + 'data_inverse': probe.e.core_price(elimination_ai_word)}, 'providers': {}} + for provider, item in probe.core['providers'].items(): + canonical = item['canonical'] + n = len(canonical['start']) + initial = {i: {(i, ()): F(1)} for i in range(n + 8)} + split = item['programs']['forward'].index(['phase', 'zero_frame_precondition']) + native_programs, native_reports = {}, {} + for direction in ('forward', 'backward'): + backward = direction == 'backward' + program = [['phase', 'bipartite_eight_response']] + [['scalar', ['clear', ['C', i]], 0] for i in range(8)] + for position in range(split, len(item['programs'][direction])): + event = deepcopy(item['programs'][direction][position]) + forward = item['programs']['forward'][position] + if forward[0] == 'scalar' and forward[1][0] == 'add': + target, source_slot = forward[1][1:3] + is_y = lambda slot: slot[0] == 'L' and 112 <= slot[1] < 224 + if is_y(target) and not is_y(source_slot): + coefficient = event_weights.get(position, F(0)) + if not coefficient: + continue + if backward: + p.need(event[1][1:3] == [source_slot, target], 'Transpose transfer site') + coefficient = -coefficient + event[1][3:5] = [coefficient.numerator, coefficient.denominator] + program.append(event) + actual = probe.e.core_replay(program, initial, canonical, backward)[0] + expected = deepcopy(initial) + for i in range(n, n + 8): + expected[i] = {} + for i, row in enumerate(response): + for j, coefficient in row.items(): + p.add(expected[j if backward else 112 + i], initial[112 + i if backward else j], + -coefficient if backward else coefficient) + p.need(all(actual[i] == expected[i] for i in range(n + 8)), 'All native input columns and helpers') + native = lambda event: event[0] in ('climb', 'warp', 'adapter', 'residual_adapter') + p.need([event for event in program if native(event)] == + [event for event in item['programs'][direction] if native(event)], 'Unchanged native records') + profile = Counter(event[5] for event in program if event[0] == 'climb') + native_reports[direction] = {'all_input_columns': n + 8, 'borrowed_helpers_restored': n - 224, + 'private_zero_buffers_restored': len(canonical['zero_buffers']), + 'owned_outputs_zero': 8, 'scalar_real_primitives': probe.e.core_price(program), + 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': sum(k*v for k, v in profile.items()), + 'native_children': sum(profile.values()), 'native_records_identical': True} + native_programs[direction] = program + payload['providers'][provider] = {'canonical': canonical, 'programs': native_programs} + receipt['providers'][provider] = native_reports + print(provider, native_reports, flush=True) + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'BIPARTITE-EIGHT-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Native core and exact common-frame gauges. The structured gauge words agree with independent exact elimination. ' + 'Physical selected boundaries, inter-stage views, supplier decoder, and recursive pricing remain separate.') + (HERE / 'BIPARTITE-EIGHT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], reports, receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/FREEZE.json new file mode 100644 index 0000000000..b66958dd8b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/FREEZE.json @@ -0,0 +1,14 @@ +{ + "artifacts": { + "PARTIAL-ORTHOGONAL-PROGRAM.json.gz": "880f277363e02924dbe8b80eaef21b39ea6a92d86e3c485f9b755e45a88c323d", + "PARTIAL-ORTHOGONAL.json": "0de7f6d43d9216c4eb5c36625a384f0cb4027a5500733efee0d49fe0f61b3eaa", + "PARTIAL-ORTHOGONAL.md": "d003445239ea8687538ea641237c3dc1f33614547c8076468cea4c7712c4cfb3", + "SYMMETRIC-FAMILY.json": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "SYMMETRIC-FAMILY.md": "0158ac480950f8954a420a0cc483c6e3e4e204e926125a146114fa60843c9bc8", + "check_partial_orthogonal.py": "9bcfd1d91219fd896d90c3f722ff29480a74ee3e838633d40ede3f56ffbce3da", + "check_symmetric_family.py": "3eb8e1a73b76f09ebbd1e67af7467286ec70f8c551fb2f2a96e5785bfb76fd9e" + }, + "schema": "partial-orthogonal-freeze-v1", + "scope": "Exact local native unit and sharp positive-metric obstruction for the specified symmetric response family. No complete supplier, recursive cost, or kappa claim.", + "validation": "Normal and python -O runs produce byte-identical receipts and compressed native payload." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL-PROGRAM.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL-PROGRAM.json.gz new file mode 100644 index 0000000000..d4351efe09 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL-PROGRAM.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.json new file mode 100644 index 0000000000..ecfcebc65b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.json @@ -0,0 +1,237 @@ +{ + "checker_sha256": "9bcfd1d91219fd896d90c3f722ff29480a74ee3e838633d40ede3f56ffbce3da", + "determinant": "-309485009821345068724781056", + "doubled_modes": [ + 2, + 3, + 6, + 7, + 10, + 11, + 14, + 15, + 18, + 19, + 22, + 23, + 26, + 27, + 30, + 31, + 34, + 35, + 38, + 39, + 42, + 43, + 46, + 47, + 50, + 51, + 54, + 55, + 58, + 59, + 62, + 63 + ], + "orthogonal_gram_factor": 4, + "orthogonal_ports": [ + 1, + 3, + 4, + 5, + 6, + 8, + 12, + 17, + 18, + 19, + 22, + 23, + 24, + 26, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 38, + 39, + 40, + 45, + 48, + 49, + 50, + 54, + 55, + 56, + 58, + 59, + 60, + 64, + 65, + 66, + 67, + 68, + 69, + 73, + 74, + 75, + 77, + 80, + 82, + 83, + 84, + 85, + 86, + 88, + 93, + 95, + 96, + 97, + 98, + 100, + 101, + 102, + 103, + 107, + 108, + 109 + ], + "payload_decompressed_sha256": "1aee4832ca7ae09e39986e976e36e567b77e757a7b99416b3c8952950991fc80", + "providers": { + "base": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 86664 + } + } + }, + "remaining_ports": [ + 0, + 2, + 7, + 9, + 10, + 11, + 13, + 14, + 15, + 16, + 20, + 21, + 25, + 27, + 36, + 37, + 41, + 42, + 43, + 44, + 46, + 47, + 51, + 52, + 53, + 57, + 61, + 62, + 63, + 70, + 71, + 72, + 76, + 78, + 79, + 81, + 87, + 89, + 90, + 91, + 92, + 94, + 99, + 104, + 105, + 106, + 110, + 111 + ], + "scope": "The local response is a dyadic unit. Its 64-port restriction is symmetric and has square 4I. Its 48-port restriction is unchanged. A whole-supplier decoder and recursive cost are not established.", + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "source_pins": { + "RESPONSE-SPACE.json": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "UNIT-MODE-CANDIDATE.json": "d61d7447a499973afe49b7e422c51070262fc83229a82b7ff0ebb0238605d2fd" + }, + "status": "PASS_NATIVE_PARTIAL_ORTHOGONAL_RESPONSE" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.md new file mode 100644 index 0000000000..9db8ab5e0e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/PARTIAL-ORTHOGONAL.md @@ -0,0 +1,83 @@ +# A native orthogonal response on 64 ports + +This note changes the scalar weights of the native interior unit from +`oblique-native-20261017/interior-cut/UNIT-RESPONSE.md`. It does not change a +native call. The new unit has a symmetric 64-port restriction whose square +is `4I`. Its other 48-port restriction is unchanged. + +The complete local word costs 86,664 real scalar primitives. It has native +rank mass 5,073 and 3,507 native children. The complete emitted forward and +backward words pass the ordered replay on both source providers. Each +replay checks 640 input columns, restores 408 arbitrary helper fields and +91 private zero buffers, and leaves the eight owned fields zero. + +This is a local result. It does not establish a whole-supplier decoder, +cross-stage code transport, or a change to the complete kappa bound. + +## The construction + +Use the pinned factorization `E = L R` in `UNIT-MODE-CANDIDATE.json`. +Each column of `L` and corresponding row of `R` is one selected response +mode. Multiply the weight of mode `j` by two when + +`0 <= j < 64` and `j mod 4` is `2` or `3`. + +Keep every other selected weight equal to one. Exactly 32 weights change. +The new factorization is `E_new = L W R`, where `W` is diagonal. Thus + +`det(E_new) = det(L) det(W) det(R) = -2^88`. + +The matrix remains a unit over the dyadic rationals. The checker verifies +the factorization, its two factor determinants, and the response by a +separate sum of the pinned response directions. + +The support has sixteen independent four-by-four blocks and one +48-by-48 block. On each small block, this weight change replaces the two +half-weight modes by unit-weight modes. For example, the block with rows +`[1, 6, 28, 58]` and columns `[75, 82, 86, 93]` becomes + +```text + 1 1 -1 1 + 1 1 1 -1 +-1 1 1 1 + 1 -1 1 1 +``` + +Its rows are orthogonal and have squared length four. Its paired block is +its transpose. The full 64-port restriction is therefore symmetric and +has square `4I`. Its inverse is one quarter of itself. The checker proves +these identities by exact matrix multiplication on all 112 coordinates. + +The scalar change costs 64 more primitives than the source unit. The +native records are byte-identical to the retained source records. + +## Physical scope + +The backward word supplies the negative transpose of the forward +response. On the 64-port restriction, that transpose is four times its +inverse. This removes the local transpose-versus-inverse distinction on +those ports, up to a dyadic scalar. + +This identity does not identify two different routed stage charts. It +also does not allow a future-stage query on a completed X bank. A supplier +that uses this response must prove the chart transitions and the terminal +map with the physical Q operators in their actual order. + +## Reproduction and source credit + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py +``` + +Both commands must end with `PASS_NATIVE_PARTIAL_ORTHOGONAL_RESPONSE` and +the same payload hash. `PARTIAL-ORTHOGONAL.json` gives the full local bill. +`PARTIAL-ORTHOGONAL-PROGRAM.json.gz` contains both native words for both +providers. `FREEZE.json` pins the source and result files. + +This work uses the native interior-unit construction and response space +from the oblique-native lane, and the native replay and cost model from +the new-core-transfer lane. It is AI-assisted research. It is not a PR or +a selected frontier result. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.json new file mode 100644 index 0000000000..d57b180d37 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.json @@ -0,0 +1,1762 @@ +{ + "bound_is_attained": true, + "checker_sha256": "3eb8e1a73b76f09ebbd1e67af7467286ec70f8c551fb2f2a96e5785bfb76fd9e", + "column_certificate_count": 112, + "forced_zero_coefficients": [ + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40, + 41 + ], + "large_ports": [ + 0, + 2, + 7, + 9, + 10, + 11, + 13, + 14, + 15, + 16, + 20, + 21, + 25, + 27, + 36, + 37, + 41, + 42, + 43, + 44, + 46, + 47, + 51, + 52, + 53, + 57, + 61, + 62, + 63, + 70, + 71, + 72, + 76, + 78, + 79, + 81, + 87, + 89, + 90, + 91, + 92, + 94, + 99, + 104, + 105, + 106, + 110, + 111 + ], + "metric_scope": "Every positive diagonal input metric and every nonzero real row and column gauge.", + "missing_vertex_edges": [ + [ + 0, + 5 + ], + [ + 1, + 6 + ], + [ + 2, + 7 + ], + [ + 3, + 4 + ] + ], + "orthogonal_rank_bound": 64, + "pair_edges": [ + { + "ports": [ + 0, + 27 + ], + "vertices": [ + 0, + 1 + ] + }, + { + "ports": [ + 2, + 25 + ], + "vertices": [ + 0, + 4 + ] + }, + { + "ports": [ + 7, + 57 + ], + "vertices": [ + 5, + 6 + ] + }, + { + "ports": [ + 9, + 61 + ], + "vertices": [ + 3, + 5 + ] + }, + { + "ports": [ + 10, + 62 + ], + "vertices": [ + 5, + 7 + ] + }, + { + "ports": [ + 11, + 63 + ], + "vertices": [ + 2, + 5 + ] + }, + { + "ports": [ + 13, + 51 + ], + "vertices": [ + 1, + 3 + ] + }, + { + "ports": [ + 14, + 52 + ], + "vertices": [ + 1, + 7 + ] + }, + { + "ports": [ + 15, + 53 + ], + "vertices": [ + 1, + 2 + ] + }, + { + "ports": [ + 16, + 44 + ], + "vertices": [ + 4, + 6 + ] + }, + { + "ports": [ + 20, + 46 + ], + "vertices": [ + 4, + 7 + ] + }, + { + "ports": [ + 21, + 47 + ], + "vertices": [ + 2, + 4 + ] + }, + { + "ports": [ + 36, + 111 + ], + "vertices": [ + 2, + 3 + ] + }, + { + "ports": [ + 37, + 110 + ], + "vertices": [ + 3, + 7 + ] + }, + { + "ports": [ + 41, + 106 + ], + "vertices": [ + 2, + 6 + ] + }, + { + "ports": [ + 42, + 105 + ], + "vertices": [ + 6, + 7 + ] + }, + { + "ports": [ + 43, + 104 + ], + "vertices": [ + 3, + 6 + ] + }, + { + "ports": [ + 70, + 91 + ], + "vertices": [ + 0, + 2 + ] + }, + { + "ports": [ + 71, + 90 + ], + "vertices": [ + 0, + 7 + ] + }, + { + "ports": [ + 72, + 89 + ], + "vertices": [ + 0, + 3 + ] + }, + { + "ports": [ + 76, + 87 + ], + "vertices": [ + 0, + 6 + ] + }, + { + "ports": [ + 78, + 99 + ], + "vertices": [ + 1, + 4 + ] + }, + { + "ports": [ + 79, + 94 + ], + "vertices": [ + 4, + 5 + ] + }, + { + "ports": [ + 81, + 92 + ], + "vertices": [ + 1, + 5 + ] + } + ], + "scope": "The specified 42-dimensional real symmetric response family.", + "small_ports": [ + 1, + 3, + 4, + 5, + 6, + 8, + 12, + 17, + 18, + 19, + 22, + 23, + 24, + 26, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 38, + 39, + 40, + 45, + 48, + 49, + 50, + 54, + 55, + 56, + 58, + 59, + 60, + 64, + 65, + 66, + 67, + 68, + 69, + 73, + 74, + 75, + 77, + 80, + 82, + 83, + 84, + 85, + 86, + 88, + 93, + 95, + 96, + 97, + 98, + 100, + 101, + 102, + 103, + 107, + 108, + 109 + ], + "source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff", + "status": "PASS_SYMMETRIC_FAMILY_METRIC_OBSTRUCTION", + "vertices": [ + { + "direction": 32, + "factor": "2", + "pair_columns": [ + { + "0": "1", + "27": "1" + }, + { + "2": "1", + "25": "1" + }, + { + "70": "1", + "91": "1" + }, + { + "71": "1", + "90": "1" + }, + { + "72": "1", + "89": "1" + }, + { + "76": "1", + "87": "1" + } + ] + }, + { + "direction": 33, 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b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.md @@ -0,0 +1,122 @@ +# A sharp weighted obstruction for the 42 symmetric responses + +Let `S_0,...,S_41` be the exact dyadic matrices in the pinned file +`oblique-native-20261017/interior-cut/SYMMETRIC-RESPONSE-SEARCH.json`. +The modular entries in that file have the small dyadic lifts checked by +`check_symmetric_family.py`. This note concerns their specified real +linear span. It does not concern every response that a different native +word can supply. + +For real coefficients `w_i`, set `E = sum_i w_i S_i`. If `D` is any +positive diagonal matrix and `E D E` is diagonal, then + +`w_32 = w_33 = ... = w_41 = 0`. + +Thus such a response has rank at most 64. The bound is attained. In +particular, no invertible real diagonal row and column gauges can turn a +full-rank member of this family into an orthogonal matrix, even if the +required squared row lengths can differ by component. + +## The 48-port geometry + +Directions `S_0,...,S_31` act only on a set of 64 ports. Directions +`S_32,...,S_39` act only on the complementary 48 ports. Write + +`c_32 = c_37 = 2`, and `c_i = -1` for the other six indices. + +Each `S_i/c_i`, for `32 <= i <= 39`, is the adjacency matrix of `K_6` on +an orthogonal six-dimensional pair-mode space. Each mode is a sum or a +difference of two physical coordinates. The eight mode spaces are +mutually orthogonal and cover the 48 physical coordinates. + +The 24 physical coordinate pairs form the edges of `K_8` with the matching +`{(0,5),(1,6),(2,7),(3,4)}` removed. The vertices label directions 32 +through 39. A physical pair supplies one mode to each of its two endpoint +vertices, with opposite pair signs. `SYMMETRIC-FAMILY.json` gives every +pair, its signs, its vertices, and the exact six-column basis at each +vertex. The checker verifies the `K_6` matrices and all range projectors. + +Directions 40 and 41 have no entries inside the 48-by-48 restriction. +They couple the two port sets and also act within the 64-port set. The +proof below includes both directions. + +## Proof with a positive certificate + +Define the symmetric matrix + +`Y = (S_32/2 - S_33 - S_34 - S_35 - S_36 + S_37/2 - S_38 - S_39)/6`. + +Its diagonal is zero. Its support is contained in the 48-port set. Let +`d_j > 0` be the diagonal entries of `D`. The exact column identities give + +```text +trace(Y E D E) + = sum_{j in the 64-port set} d_j * + ((w_40 - 2*w_41)^2/6 + 5*w_41^2/24) + + sum_{j in the 48-port set} d_j * + (5/3) * sum_{i incident to j} c_i^2*w_i^2. +``` + +Each physical coordinate in the second sum is incident to exactly two +vertices in the pair graph. Every index from 32 through 39 occurs. + +Here is a direct verification of the identity. For a fixed physical +column `j`, form the 42-by-42 matrix with entries + +`Q_j(i,k) = (S_i e_j)^T Y (S_k e_j)`. + +On each of the 64 columns, its only nonzero block, at indices 40 and 41, +is + +```text + 1/6 -1/3 +-1/3 7/8 +``` + +On each of the other 48 columns, its only nonzero entries are the two +diagonal values `(5/3)*c_i^2` at the incident vertices. The checker +verifies every entry of these 112 quadratic forms with exact fractions. +The displayed two-by-two block is positive definite: its determinant is +`5/144` and its first diagonal entry is positive. + +If `E D E` is diagonal, the zero diagonal of `Y` makes the trace zero. +Every term on the right is nonnegative. Since every `d_j` is positive, +the first sum forces `w_40 = w_41 = 0`. The second sum forces all eight +remaining coefficients to vanish. This proves the claim. + +For invertible real diagonal gauges `A` and `B`, the row Gram matrix of +`A E B` is `A E B^2 E A`. It is diagonal only if `E B^2 E` is diagonal. +The theorem applies because `B^2` is positive diagonal. A nonsingular +monomial real Gram matrix cannot give an additional case: a positive +definite symmetric monomial matrix is diagonal. + +To attain rank 64, give directions 0 through 31 weight two at indices +congruent to 2 or 3 modulo 4, and weight one at the other indices. Give +all remaining directions weight zero. The resulting matrix has square +`4I` on the 64-port set and is zero on its complement. + +## Consequence and limits + +Changing coefficients or diagonal gauges in this symmetric family +cannot close the remaining 48-port response. A successful orthogonal +construction must add a response outside this family or change the +native word. The pair graph gives a concrete target: change the local +`K_6` scattering, its available projector terms, or the coupling between +the eight pair-mode spaces. + +This theorem does not forbid a nonsymmetric reciprocal pair. It does +not establish a native-child lower bound. It does not concern a larger +response family from added legal transfer sites. It makes no claim about +the complete kappa bound. + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py +``` + +Both commands must print `PASS_SYMMETRIC_FAMILY_METRIC_OBSTRUCTION`. +`FREEZE.json` pins the proof, checker, receipt, and source files. This work +builds on the oblique-native response-space calculation. It is +AI-assisted research, and it is not a PR or a selected frontier result. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py new file mode 100644 index 0000000000..35e5b4dc4d --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_partial_orthogonal.py @@ -0,0 +1,214 @@ +#!/usr/bin/env python3 +"""Check the partial orthogonal response and its native words.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import ast +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parents[1] / 'oblique-native-20261017' / 'interior-cut' +PINS = { + 'UNIT-MODE-CANDIDATE.json': 'd61d7447a499973afe49b7e422c51070262fc83229a82b7ff0ebb0238605d2fd', + 'RESPONSE-SPACE.json': '320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337', +} +PRIME = 1000003 + + +def need(test, label): + if not test: + raise ValueError(label) + + +def read(name): + raw = (SOURCE / name).read_bytes() + need(sha256(raw).hexdigest() == PINS[name], ('Source pin', name)) + return json.loads(raw) + + +def lift(value): + for denominator in (1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024): + numerator = int(value) * denominator % PRIME + if numerator > PRIME // 2: + numerator -= PRIME + if abs(numerator) <= 64: + return F(numerator, denominator) + raise ValueError(('No small dyadic lift', value)) + + +def add(target, source, coefficient=F(1)): + for key, value in source.items(): + total = target.get(key, F(0)) + coefficient * value + if total: + target[key] = total + else: + target.pop(key, None) + + +def product(left, right): + result = [] + for row in left: + output = {} + for index, value in row.items(): + add(output, right[index], value) + result.append(output) + return result + + +def transpose(matrix): + result = [{} for _ in matrix] + for i, row in enumerate(matrix): + for j, value in row.items(): + result[j][i] = value + return result + + +def encode(matrix): + return [{str(key): str(value) for key, value in row.items()} for row in matrix] + + +def determinant(matrix): + rows = [dict(row) for row in matrix] + result = F(1) + for column in range(len(rows)): + candidates = [i for i in range(column, len(rows)) if rows[i].get(column)] + if not candidates: + return F(0) + pivot = min(candidates, key=lambda i: len(rows[i])) + if pivot != column: + rows[column], rows[pivot] = rows[pivot], rows[column] + result = -result + value = rows[column][column] + result *= value + for i in range(column + 1, len(rows)): + if rows[i].get(column): + add(rows[i], rows[column], -rows[i][column] / value) + return result + + +def main(): + candidate, space = read('UNIT-MODE-CANDIDATE.json'), read('RESPONSE-SPACE.json') + selected = candidate['selected_modes'] + doubled = [mode for mode in selected if mode < 64 and mode % 4 in (2, 3)] + need(len(doubled) == 32, 'Exactly 32 changed mode weights') + original = [{int(k): F(v) for k, v in row.items()} for row in candidate['J']] + left = [{int(k): F(v) for k, v in row.items()} for row in candidate['L']] + right = [{int(k): F(v) for k, v in row.items()} for row in candidate['R']] + need(product(left, right) == original, 'Original exact factorization') + need(determinant(left) == -1 and determinant(right) == 2**56, + 'Exact original dyadic determinants') + for row in left: + for column in row: + if selected[column] in doubled: + row[column] *= 2 + response = product(left, right) + need(determinant(left) * determinant(right) == -2**88, + 'Exact changed dyadic determinant') + independent = [{} for _ in range(112)] + weights = {} + for mode in selected: + coefficient = 2 if mode in doubled else 1 + direction = space['directions'][mode] + for pair, value in direction['effect'].items(): + i, j = ast.literal_eval(pair) + add(independent[i], {j: lift(value)}, coefficient) + for position, value in direction['events'].items(): + position = int(position) + weights[position] = weights.get(position, F(0)) + coefficient * lift(value) + weights = {key: value for key, value in weights.items() if value} + need(response == independent, 'Independent response direction sum') + changed = [i for i in range(112) if response[i] != original[i]] + remaining = sorted(set(range(112)) - set(changed)) + need(len(changed) == 64 and len(remaining) == 48, 'Exact port split') + need(all(set(response[i]) <= set(changed) for i in changed), 'Closed 64-port response') + need(all(set(response[i]) <= set(remaining) for i in remaining), 'Closed 48-port response') + squared = product(response, response) + gram = product(response, transpose(response)) + need(all(squared[i] == gram[i] == {i: F(4)} for i in changed), '64-port inverse and Gram') + need(all(response[i] == transpose(response)[i] for i in changed), '64-port symmetry') + need(all(response[i] == original[i] for i in remaining), '48-port response unchanged') + need(all(not response[i].get(i) for i in range(112)), 'Zero diagonal') + + spec = importlib.util.spec_from_file_location('partial_probe', SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + payload = {'schema': 'native-partial-orthogonal-response-v1', 'source_pins': PINS, + 'source_core_sha256': probe.PIN, 'response': encode(response), + 'doubled_modes': sorted(doubled), 'orthogonal_ports': changed, + 'remaining_ports': remaining, 'providers': {}} + receipt = {'status': 'PASS_NATIVE_PARTIAL_ORTHOGONAL_RESPONSE', 'source_pins': PINS, + 'source_core_sha256': probe.PIN, 'orthogonal_ports': changed, + 'remaining_ports': remaining, 'doubled_modes': sorted(doubled), + 'orthogonal_gram_factor': 4, 'determinant': str(-2**88), 'providers': {}} + for provider, item in probe.core['providers'].items(): + word = item['canonical'] + n = len(word['start']) + identity = {i: {(i, ()): F(1)} for i in range(n + 8)} + split = item['programs']['forward'].index(['phase', 'zero_frame_precondition']) + programs, reports = {}, {} + for direction in ('forward', 'backward'): + backward = direction == 'backward' + program = [['phase', 'partial_orthogonal_response']] + [ + ['scalar', ['clear', ['C', i]], 0] for i in range(8)] + for position in range(split, len(item['programs'][direction])): + forward = item['programs']['forward'][position] + event = deepcopy(item['programs'][direction][position]) + if forward[0] == 'scalar' and forward[1][0] == 'add': + target, source = forward[1][1:3] + is_y = lambda slot: slot[0] == 'L' and 112 <= slot[1] < 224 + if is_y(target) and not is_y(source): + coefficient = weights.get(position, F(0)) + if not coefficient: + continue + if backward: + need(event[1][1:3] == [source, target], 'Native transpose site') + coefficient = -coefficient + event[1][3:5] = [coefficient.numerator, coefficient.denominator] + program.append(event) + actual = probe.e.core_replay(program, identity, word, backward)[0] + expected = deepcopy(identity) + for i in range(n, n + 8): + expected[i] = {} + for i, row in enumerate(response): + for j, coefficient in row.items(): + if backward: + add(expected[j], identity[112 + i], -coefficient) + else: + add(expected[112 + i], identity[j], coefficient) + need(all(actual[i] == expected[i] for i in range(n + 8)), + ('All columns, helpers, and owned zeros', provider, direction)) + native = lambda event: event[0] in ('climb', 'warp', 'adapter', 'residual_adapter') + need([event for event in program if native(event)] == + [event for event in item['programs'][direction] if native(event)], + 'Native records unchanged') + profile = Counter(event[5] for event in program if event[0] == 'climb') + reports[direction] = {'all_input_columns': n + 8, + 'borrowed_helpers_restored': n - 224, + 'private_zero_buffers_restored': len(word['zero_buffers']), + 'owned_outputs_zero': 8, + 'scalar_real_primitives': probe.e.core_price(program), + 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': sum(k*v for k, v in profile.items()), + 'native_children': sum(profile.values()), + 'native_records_identical': True} + programs[direction] = program + payload['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = reports + print(provider, reports, flush=True) + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'PARTIAL-ORTHOGONAL-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('The local response is a dyadic unit. Its 64-port restriction is symmetric ' + 'and has square 4I. Its 48-port restriction is unchanged. A whole-supplier ' + 'decoder and recursive cost are not established.') + (HERE / 'PARTIAL-ORTHOGONAL.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py new file mode 100644 index 0000000000..1a61da2b0f --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/partial-orthogonal/check_symmetric_family.py @@ -0,0 +1,134 @@ +#!/usr/bin/env python3 +"""Check the pair modes and the positive metric certificate.""" +import ast +from fractions import Fraction as F +from hashlib import sha256 +import json +from pathlib import Path +from check_partial_orthogonal import SOURCE, add, encode, lift, need, product, transpose + +HERE = Path(__file__).resolve().parent +PIN = '84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff' + + +def dot(left, right): + return sum((value * right.get(key, F(0)) for key, value in left.items()), F(0)) + + +def apply(matrix, vector): + return {i: value for i, row in enumerate(matrix) if (value := dot(row, vector))} + + +def main(): + raw = (SOURCE / 'SYMMETRIC-RESPONSE-SEARCH.json').read_bytes() + need(sha256(raw).hexdigest() == PIN, 'Pinned symmetric family') + source = json.loads(raw) + matrices = [] + for direction in source['symmetric_directions']: + matrix = [{} for _ in range(112)] + for pair, value in direction['effect'].items(): + i, j = ast.literal_eval(pair) + matrix[i][j] = lift(value) + need(matrix == transpose(matrix), 'Symmetric direction') + need(all(not row.get(i) for i, row in enumerate(matrix)), 'Zero diagonal') + matrices.append(matrix) + need(len(matrices) == 42, '42 specified directions') + witness = [{} for _ in range(112)] + factors = {i: F(2) if i in (32, 37) else F(-1) for i in range(32, 40)} + for i, coefficient in factors.items(): + for target, row in zip(witness, matrices[i]): + add(target, row, 1 / (6 * coefficient)) + large = [i for i, row in enumerate(witness) if row] + small = sorted(set(range(112)) - set(large)) + need(len(large) == 48 and len(small) == 64, '48 and 64 port split') + need(all(not row.get(i) for i, row in enumerate(witness)), 'Witness has zero diagonal') + + projectors, vertices = {}, [] + for index, coefficient in factors.items(): + adjacency = [{j: value / coefficient for j, value in row.items()} + for row in matrices[index]] + square = product(adjacency, adjacency) + projector = [] + for row, original in zip(square, adjacency): + row = dict(row) + add(row, original, -4) + projector.append({j: value / 5 for j, value in row.items()}) + need(product(projector, projector) == projector, 'Range projector') + need(product(projector, adjacency) == adjacency, 'Projector contains response') + pairs = [(i, j, value) for i, row in enumerate(projector) + for j, value in row.items() if i < j] + need(len(pairs) == 6, 'Six pair modes per vertex') + columns = [] + for i, j, value in pairs: + need(projector[i] == {i: F(1, 2), j: value}, 'Pair projector first row') + need(projector[j] == {i: value, j: F(1, 2)}, 'Pair projector second row') + need(abs(value) == F(1, 2), 'Pair sign') + columns.append({i: F(1), j: 2 * value}) + reduced = [[dot(a, apply(adjacency, b)) / 2 for b in columns] for a in columns] + signs = [F(1)] + reduced[0][1:] + need(all(signs[i] * reduced[i][j] * signs[j] == (0 if i == j else 1) + for i in range(6) for j in range(6)), 'Exact K6 adjacency in pair modes') + vertices.append({'direction': index, 'factor': str(coefficient), + 'pair_columns': [{str(k): str(value * signs[i]) for k, value in column.items()} + for i, column in enumerate(columns)]}) + projectors[index] = projector + total = [{} for _ in range(112)] + for projector in projectors.values(): + for target, row in zip(total, projector): + add(target, row) + need(total == [{i: F(1)} if i in large else {} for i in range(112)], + 'The eight ranges cover exactly 48 ports') + need(all(not any(product(left, right)) for i, left in projectors.items() + for j, right in projectors.items() if i != j), 'The eight ranges are orthogonal') + + pair_edges = [] + for port in large: + incident = [i for i, projector in projectors.items() if projector[port]] + need(len(incident) == 2, 'Two vertices per physical port') + partners = [j for j in projectors[incident[0]][port] if j != port] + need(len(partners) == 1, 'One physical partner') + other = partners[0] + need(other in projectors[incident[1]][port], 'Same physical pair at both vertices') + if port < other: + pair_edges.append({'ports': [port, other], 'vertices': [i - 32 for i in incident]}) + edges = {tuple(edge['vertices']) for edge in pair_edges} + missing = [(i, j) for i in range(8) for j in range(i + 1, 8) if (i, j) not in edges] + need(missing == [(0, 5), (1, 6), (2, 7), (3, 4)], 'K8 minus a matching') + + for port in range(112): + columns = {i: {row: matrix[row][port] for row in range(112) if port in matrix[row]} + for i, matrix in enumerate(matrices)} + active = [i for i, column in columns.items() if column] + transformed = {i: apply(witness, columns[i]) for i in active} + actual = {(i, j): dot(columns[i], transformed[j]) + for i in active for j in active if dot(columns[i], transformed[j])} + if port in small: + expected = {(40, 40): F(1, 6), (40, 41): F(-1, 3), + (41, 40): F(-1, 3), (41, 41): F(7, 8)} + else: + incident = [i for i, projector in projectors.items() if projector[port]] + expected = {(i, i): F(5, 3) * factors[i]**2 for i in incident} + need(actual == expected, ('Exact positive certificate at column', port)) + + orthogonal = [{} for _ in range(112)] + for i in range(32): + for target, row in zip(orthogonal, matrices[i]): + add(target, row, 2 if i % 4 in (2, 3) else 1) + squared = product(orthogonal, orthogonal) + need(squared == [{i: F(4)} if i in small else {} for i in range(112)], + 'Sharp rank 64 example') + result = {'status': 'PASS_SYMMETRIC_FAMILY_METRIC_OBSTRUCTION', 'source_sha256': PIN, + 'scope': 'The specified 42-dimensional real symmetric response family.', + 'metric_scope': 'Every positive diagonal input metric and every nonzero real row and column gauge.', + 'orthogonal_rank_bound': 64, 'bound_is_attained': True, + 'forced_zero_coefficients': list(range(32, 42)), + 'column_certificate_count': 112, 'small_ports': small, 'large_ports': large, + 'witness': encode(witness), 'vertices': vertices, 'pair_edges': pair_edges, + 'missing_vertex_edges': missing, + 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest()} + (HERE / 'SYMMETRIC-FAMILY.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], 'sharp rank bound 64; all 112 column identities', flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json new file mode 100644 index 0000000000..4f766cfa70 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json @@ -0,0 +1,13 @@ +{ + "artifacts": { + "RANK8-GAUGES.json": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "STRUCTURED-CENTRES-PROGRAM.json.gz": "b09a60f6d62664aa0304085764ea198d9f86e9ed2d8769d7ae366814c4590f48", + "STRUCTURED-CENTRES.json": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc", + "STRUCTURED-CENTRES.md": "15b1776fc51995bf27d42627a6e67ac512fc7329a23bbe1dd65a1763eb4bdbca", + "check_rank8_gauges.py": "00272c23297d2163f5b7459ef7dd643ce2251558b988fc4c85d3d099de5541f5", + "check_structured_centres.py": "6b33ac8e0a279a3e1c8a74d1f03eed875103644fb8cbfce3d2401e20209b2c75" + }, + "schema": "structured-centres-freeze-v1", + "scope": "Exact native response with8centres on48ports; six orthogonal8minors; exact common-frame dyadic gauges for24/24split. Physical selected boundary and whole supplier remain open.", + "validation": "Normal and python -O runs give byte-identical receipts and native payload." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json new file mode 100644 index 0000000000..8674a306b7 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json @@ -0,0 +1,11 @@ +{ + "artifacts": { + "RANK8-GAUGES-V2.json": "6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c", + "RANK8-GAUGES-V2.md": "1a34b5f38bdf636816f9b00e1fc8c976feb7937f68054e116ef658bd2fb8e08c", + "check_rank8_gauges_v2.py": "6f3f739476644516dda975d748b2b10c80408844f672cffeeb5af76637793ab9" + }, + "schema": "structured-centres-scaled-query-gauges-v2", + "scope": "Common-frame scalar gauges only. Zero native children, one restored owned field. Mixed-frame decoder and complete supplier remain open.", + "source_freeze_sha256": "5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19", + "validation": "Normal and python -O runs give byte-identical receipts. All 112 input columns agree with the preceding pinned maps. Both inverse orders and coherent C0 restoration pass." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.json new file mode 100644 index 0000000000..8a482412c6 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.json @@ -0,0 +1,16187 @@ +{ + "checker_sha256": "6f3f739476644516dda975d748b2b10c80408844f672cffeeb5af76637793ab9", + "programs": { + "data": [ + [ + "scalar", + [ + "copy", + [ + "C", + 0 + ], + [ + "L", + 0 + ] + ], + 0 + ], + [ + "scalar", + [ + "add", + [ + "C", + 0 + ], + [ + "L", + 2 + ], + 1, + 1 + ], + 0 + ], + [ + "scalar", + [ + "add", + [ + "C", + 0 + ], + [ + "L", + 25 + ], 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true, + "owned_fields": 1, + "scalar_real_primitives": 1172 + } + }, + "scope": "Same common-frame scalar maps as the preceding gauge packet. All query values are coherently removed; no data-dependent CLEAR is used.", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "source_receipt_sha256": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "status": "PASS_SCALED_QUERY_RANK8_GAUGES" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md new file mode 100644 index 0000000000..2eea7e2f30 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md @@ -0,0 +1,39 @@ +# Put the dyadic scale on the query field + +These four scalar programs implement exactly the common-frame gauges +from `RANK8-GAUGES.json`. They keep its one-field storage contract and +restore `C0` by subtraction of the updated query. They do not clear a +data-dependent owned value. + +After the query is formed, scale `C0` by the common positive magnitude +of the scatter coefficients. Then use signed unit ADDs for the scatter. +Before the query is removed, scale `C0` so that it equals the updated +query. This replaces many half or quarter ADDs by two scales of one +owned field. + +| Gauge | First query scale | Scale before removal | Real scalar primitives | +| --- | ---: | ---: | ---: | +| `A` | `1/4` | `4` | 2,368 | +| `A^-1` | `1/4` | `4` | 2,368 | +| `H` | `1/2` | `-4` | 1,172 | +| `H^-1` | `1/4` | `-2` | 1,172 | + +All four programs have zero native children. The checker compares all +112 input columns with the preceding pinned words. It also checks both +inverse orders and restoration of `C0` to zero. + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py +``` + +Both commands must print `PASS_SCALED_QUERY_RANK8_GAUGES` and give +byte-identical receipts. `GAUGES-V2-FREEZE.json` pins this separate +version. The preceding frozen source files are unchanged. + +The new-core-transfer lane supplied this scale placement. This packet +checks and prices the exact words. It is AI-assisted research. 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Division by five, physical gauge programs, supplier code transport, terminal decoding, and recursive pricing are not implemented here.", + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_NATIVE_STRUCTURED_CENTRES", + "symmetric_source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md new file mode 100644 index 0000000000..a6783484fd --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md @@ -0,0 +1,151 @@ +# Eight centres on a 48-port native response + +The emitted native response `E` is symmetric. On 64 ports it is the +Hadamard response from `../partial-orthogonal/PARTIAL-ORTHOGONAL.md`. On +the other 48 ports it has the form + +`E_48 = -I + K^T K/2`, with `K K^T = 12I_8`. + +Each row of `K` has 12 entries, all equal to `1` or `-1`. Thus the inverse +defect has eight centres, all supported on those 48 ports. The other 64 +ports need no centre correction in the local inverse. + +Both native words pass the full ordered replay on both providers. Each +word costs 87,360 real scalar primitives, with native rank mass 5,073 and +3,507 native children. The native records are unchanged. Each replay +checks 640 input columns, restores 408 arbitrary helper fields and 91 +private zero buffers, and leaves the eight owned fields zero. + +The supplied backward word is the negative transpose of `E`. It is not +its inverse. The inverse formula and the scalar gauge programs below do +not complete a supplier or change the complete kappa bound. + +## Native construction and inverse + +In the pinned symmetric response family, give directions 0 through 31 +weight two at indices congruent to 2 or 3 modulo 4, and weight one at the +other indices. Give directions 32 and 37 weight `1/2`. Give the other six +directions from 32 through 39 weight `-1`. Give directions 40 and 41 +weight zero. Expand their pinned recipes into the original scalar +transfer sites. Keep every native call unchanged. + +Let `O = K^T K/12`, extended by zero on the 64-port set. Then `O` is an +orthogonal projector of rank eight, and + +```text +E^2 = 4I_64 + I_48 + 24O. +E^-1 = E_64/4 - I_48 + (6/5)O. +det(E) = 2^64 * 5^8. +``` + +The checker verifies both inverse orders with exact fractions. This +response is invertible over the rationals. It is not a unit over the +dyadic rationals. Division by five in the direct inverse is not supplied +or priced by this packet. + +## Six orthogonal minors + +The pair graph from the previous packet is `K_8` minus a perfect matching. +Partition its remaining edges into six perfect matchings. Use both +physical ports of each edge. Each matching then gives an eight-port +minor `K_A` with + +`K_A K_A^T = 2I_8`. + +The six minors are disjoint and cover all 48 ports. Their exact port lists +are in `STRUCTURED-CENTRES.json`, under `orthogonal_minor_ports`. The +checker finds the partition and verifies each identity independently +from the centre rows. + +This structure gives an exact family of smaller source interfaces. For +the negative response `J_48 = I - K^T K/2`, select `k` complete minors. +Write `S` for these `8k` ports and `U` for the other ports in this block. +Then + +```text +K_S K_S^T/2 = kI. +K_U K_U^T/2 = (6-k)I. +H = I_U - K_U^T K_U/2. +H^-1 = I_U + K_U^T K_U/(2(k-5)). +``` + +The ordinary inverse exists for `k != 5`. For `k = 1`, the selected block +of `E_48` is zero and its two off-diagonal blocks satisfy `BD = 5I`. +The ordinary centre eigenvalue of `H` is `-4`, so this ordinary inverse +is dyadic. + +Let `P` be diagonal, equal to `-1` on `S` and `1` on `U`. The algebraic +data map that occurs in the diagonal borrowed-source construction is + +```text +A = P + K^T K/(2(k-5)). +A^-1 = P + P K^T K P/(2(k-1)). +``` + +For `k = 2, 3, 4`, the checker verifies both inverse orders. The second +denominator is singular at `k = 1`; this limitation remains explicit. +For `k = 3`, both denominators are dyadic units. Thus a 24/24 split has +both an ordinary inverse and a data inverse with only dyadic scalars. +The other 64 ports form a separate Hadamard block; their gauge and the +physical selected-exchange boundary are not emitted in this packet. + +## Serial gauges for the 24/24 split + +For `k = 3`, `K P K^T = 0`. Consequently every query row of `K` is +unchanged by each rank-one shear in + +`I - P K^T K/4`. + +This gives a serial implementation with one owned field `C0`. For each +centre row, copy one source into `C0`, add the other eleven signed +sources, apply its signed scatter, then subtract the same query from the +updated data. The field returns to zero. Negating the selected ports +after these shears gives `A = P - K^T K/4`. For the inverse, negate those +ports first and use the opposite shear sign. + +The ordinary gauge uses only the six entries of each centre row that +lie in `U`. A scatter for `H` multiplies its query by `-2`; a scatter for +`H^-1` multiplies its query by `-1/2`. Scale `C0` by that same factor before +subtracting the updated query. The field again returns to zero. + +The emitted scalar programs have these exact bills: + +| Gauge on the 48-port block | Real scalar primitives | Native children | +| --- | ---: | ---: | +| `A` | 2,688 | 0 | +| `A^-1` | 2,688 | 0 | +| `H` on the 24 ordinary ports | 1,236 | 0 | +| `H^-1` on the 24 ordinary ports | 1,332 | 0 | + +Each program uses one owned field and restores it to zero. All 112 data +input columns are checked, including identity action on the other +ports. The two inverse orders are checked. The program requires a common +physical frame for all operands. It does not grant access to an old query +on a retired Y bank or to a future query on X. + +## Remaining supplier obligations + +The local response and common-frame scalar gauges are implemented. A +complete use in the supplier must still prove the selected physical +exchanges, the 64-port gauge, each routed stage transition, helper access +at the required cuts, the terminal map, and the complete recursive bill. +It must also choose whether it uses the dyadic 24/24 interface or a +different interface with an explicit odd-division service. No such choice +is assumed by the present packet. + +Run these commands from the workspace root, both normally and with +`python3 -O`: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py +``` + +The first command ends with `PASS_NATIVE_STRUCTURED_CENTRES`. The second +ends with `PASS_SERIAL_RANK8_GAUGES`. The freeze manifest pins the proof, +checkers, receipts, and native payload. + +This work uses the response directions and native core from the +oblique-native lane, the pair geometry from the preceding packet, and +the native replay and cost model from the new-core-transfer lane. It is +AI-assisted research. It is not a PR or a selected frontier result. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py new file mode 100644 index 0000000000..dcaebfba96 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py @@ -0,0 +1,121 @@ +#!/usr/bin/env python3 +"""Check serial centre gauges in a common physical frame.""" +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import check_structured_centres as source + +HERE = Path(__file__).resolve().parent +PIN = '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1' +p = source.p + + +def scalar(kind, target, value, coefficient=None): + gate = [kind, ['C', 0] if target == 112 else ['L', target]] + if kind == 'scale': + gate += [value.numerator, value.denominator] + else: + gate.append(['C', 0] if value == 112 else ['L', value]) + if kind == 'add': + gate += [coefficient.numerator, coefficient.denominator] + return ['scalar', gate, 0] + + +def centre_step(row, scatter, query_factor): + ports = sorted(row) + word = [scalar('copy', 112, ports[0])] + if row[ports[0]] != 1: + word.append(scalar('scale', 112, row[ports[0]])) + word += [scalar('add', 112, i, row[i]) for i in ports[1:]] + word += [scalar('add', i, 112, coefficient) for i, coefficient in sorted(scatter.items())] + if query_factor != 1: + word.append(scalar('scale', 112, query_factor)) + word += [scalar('add', 112, i, -row[i]) for i in ports] + return word + + +def replay(word): + state = [{i: F(1)} for i in range(112)] + [{}] + def slot(value): + return 112 if value[0] == 'C' else value[1] + for event in word: + p.need(event[0] == 'scalar' and event[2] == 0, 'One common frame') + gate = event[1] + target = slot(gate[1]) + if gate[0] == 'copy': + p.need(target == 112 and not state[target], 'Only copy into the zero owned field') + state[target] = dict(state[slot(gate[2])]) + elif gate[0] == 'add': + p.need(target != slot(gate[2]), 'Distinct ADD operands') + p.add(state[target], state[slot(gate[2])], F(*gate[3:5])) + else: + p.need(gate[0] == 'scale', 'Allowed scalar operation') + coefficient = F(*gate[2:4]) + state[target] = {i: coefficient * value for i, value in state[target].items()} + p.need(not state[112], 'Owned C0 returns to zero') + return state[:112] + + +def main(): + raw = gzip.decompress((HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + p.need(sha256(raw).hexdigest() == PIN, 'Pinned native centre packet') + packet = json.loads(raw) + receipt = json.loads((HERE / 'STRUCTURED-CENTRES.json').read_text()) + rows = [{int(i): F(value) for i, value in row.items()} for row in packet['centre_rows']] + selected = receipt['gauge_identities']['3']['selected_ports'] + ordinary = receipt['gauge_identities']['3']['ordinary_ports'] + signs = {i: F(-1) if i in selected else F(1) for i in range(112)} + negative = [scalar('scale', i, F(-1)) for i in selected] + words = {} + for inverse in (False, True): + word = deepcopy(negative) if inverse else [] + for row in rows: + scatter = {i: (1 if inverse else -1) * signs[i] * value / 4 for i, value in row.items()} + word += centre_step(row, scatter, F(1)) + if not inverse: + word += negative + words['data_inverse' if inverse else 'data'] = word + for name, coefficient, factor in [('ordinary', F(-1, 2), F(-2)), + ('ordinary_inverse', F(-1, 4), F(-1, 2))]: + word = [] + for row in rows: + row = {i: value for i, value in row.items() if i in ordinary} + word += centre_step(row, {i: coefficient * value for i, value in row.items()}, factor) + words[name] = word + maps = {name: replay(word) for name, word in words.items()} + identity = [{i: F(1)} for i in range(112)] + for name in ('data', 'ordinary'): + p.need(p.product(maps[name], maps[name + '_inverse']) == + p.product(maps[name + '_inverse'], maps[name]) == identity, 'Both inverse orders') + outer = [{} for _ in range(112)] + for row in rows: + for i, value in row.items(): + p.add(outer[i], row, value) + expected = [{i: signs[i]} for i in range(112)] + for i in range(112): + p.add(expected[i], outer[i], F(-1, 4)) + p.need(maps['data'] == expected, 'Data gauge equals E minus KtK/4') + expected = deepcopy(identity) + for i in ordinary: + p.add(expected[i], {j: value for j, value in outer[i].items() if j in ordinary}, F(-1, 2)) + p.need(maps['ordinary'] == expected, 'Ordinary gauge equals I minus KuT Ku/2') + spec = importlib.util.spec_from_file_location('gauge_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), 'native_children': 0, + 'owned_fields': 1, 'owned_field_restored': True, 'all_input_columns': 112} + for name, word in words.items()} + result = {'status': 'PASS_SERIAL_RANK8_GAUGES', 'source_payload_sha256': PIN, + 'selected_ports': selected, 'ordinary_ports': ordinary, 'reports': reports, + 'programs': words, 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Exact scalar gauges on the 48-port block in a common physical frame. The other 64 ports are unchanged. No mixed-frame or whole-supplier access is asserted.'} + (HERE / 'RANK8-GAUGES.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], reports, flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py new file mode 100644 index 0000000000..f23866f044 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py @@ -0,0 +1,81 @@ +#!/usr/bin/env python3 +"""Check scalar gauges with the dyadic scale on the owned query field.""" +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import check_rank8_gauges as old + +HERE = Path(__file__).resolve().parent +OLD_PIN = '27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930' + + +def step(row, scatter_signs, initial_scale, query_factor): + ports = sorted(row) + word = [old.scalar('copy', 112, ports[0])] + if row[ports[0]] != 1: + word.append(old.scalar('scale', 112, row[ports[0]])) + word += [old.scalar('add', 112, i, row[i]) for i in ports[1:]] + word.append(old.scalar('scale', 112, initial_scale)) + word += [old.scalar('add', i, 112, value) for i, value in sorted(scatter_signs.items())] + word.append(old.scalar('scale', 112, query_factor / initial_scale)) + word += [old.scalar('add', 112, i, -row[i]) for i in ports] + return word + + +def main(): + raw = (HERE / 'RANK8-GAUGES.json').read_bytes() + old.p.need(sha256(raw).hexdigest() == OLD_PIN, 'Pinned preceding scalar programs') + original = json.loads(raw) + raw = gzip.decompress((HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + old.p.need(sha256(raw).hexdigest() == old.PIN, 'Pinned native centre rows') + packet = json.loads(raw) + rows = [{int(i): F(value) for i, value in row.items()} for row in packet['centre_rows']] + selected, ordinary = original['selected_ports'], original['ordinary_ports'] + signs = {i: F(-1) if i in selected else F(1) for i in range(112)} + negations = [old.scalar('scale', i, F(-1)) for i in selected] + programs = {} + for inverse in (False, True): + word = deepcopy(negations) if inverse else [] + for row in rows: + scatter = {i: (1 if inverse else -1) * signs[i] * value for i, value in row.items()} + word += step(row, scatter, F(1, 4), F(1)) + if not inverse: + word += negations + programs['data_inverse' if inverse else 'data'] = word + for name, coefficient, factor in [('ordinary', F(1, 2), F(-2)), + ('ordinary_inverse', F(1, 4), F(-1, 2))]: + word = [] + for row in rows: + row = {i: value for i, value in row.items() if i in ordinary} + word += step(row, {i: -value for i, value in row.items()}, coefficient, factor) + programs[name] = word + maps = {name: old.replay(word) for name, word in programs.items()} + for name, actual in maps.items(): + old.p.need(actual == old.replay(original['programs'][name]), ('Same exact map', name)) + identity = [{i: F(1)} for i in range(112)] + for name in ('data', 'ordinary'): + old.p.need(old.p.product(maps[name], maps[name + '_inverse']) == + old.p.product(maps[name + '_inverse'], maps[name]) == identity, + 'Both inverse orders') + spec = importlib.util.spec_from_file_location('scaled_query_probe', old.p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), + 'old_scalar_real_primitives': original['reports'][name]['scalar_real_primitives'], + 'native_children': 0, 'owned_fields': 1, 'owned_field_restored': True, + 'all_input_columns': 112, 'clears_of_nonzero_owned_data': 0} + for name, word in programs.items()} + receipt = {'status': 'PASS_SCALED_QUERY_RANK8_GAUGES', 'source_receipt_sha256': OLD_PIN, + 'source_payload_sha256': old.PIN, 'programs': programs, 'reports': reports, + 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Same common-frame scalar maps as the preceding gauge packet. All query values are coherently removed; no data-dependent CLEAR is used.'} + (HERE / 'RANK8-GAUGES-V2.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], reports, flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py new file mode 100644 index 0000000000..0a3eb84911 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py @@ -0,0 +1,228 @@ +#!/usr/bin/env python3 +"""Check a native symmetric response with eight centres on 48 ports.""" +import ast +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +PARTIAL = HERE.parent / 'partial-orthogonal' +spec = importlib.util.spec_from_file_location('partial_tools', PARTIAL / 'check_partial_orthogonal.py') +p = importlib.util.module_from_spec(spec) +spec.loader.exec_module(p) +SYMMETRIC_PIN = '84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff' +GEOMETRY_PIN = '77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2' + + +def pin_json(path, pin): + raw = path.read_bytes() + p.need(sha256(raw).hexdigest() == pin, ('Source pin', str(path))) + return json.loads(raw) + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def perfect_matchings(vertices, edges): + if not vertices: + yield [] + return + first = min(vertices) + for other in sorted(vertices - {first}): + edge = tuple(sorted((first, other))) + if edge in edges: + for rest in perfect_matchings(vertices - {first, other}, edges): + yield [edge] + rest + + +def factor_edges(edges): + if not edges: + return [] + for matching in perfect_matchings(set(range(8)), edges): + rest = factor_edges(edges - set(matching)) + if rest is not None: + return [matching] + rest + return None + + +def main(): + geometry = pin_json(PARTIAL / 'SYMMETRIC-FAMILY.json', GEOMETRY_PIN) + symmetric = pin_json(p.SOURCE / 'SYMMETRIC-RESPONSE-SEARCH.json', SYMMETRIC_PIN) + space = p.read('RESPONSE-SPACE.json') + response = [{} for _ in range(112)] + mode_weights = {} + for i, direction in enumerate(symmetric['symmetric_directions'][:40]): + weight = F(2 if i % 4 in (2, 3) else 1) if i < 32 else (F(1, 2) if i in (32, 37) else F(-1)) + for pair, value in direction['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(response[row], {column: p.lift(value)}, weight) + for mode, value in direction['recipe'].items(): + mode = int(mode) + mode_weights[mode] = mode_weights.get(mode, F(0)) + weight * p.lift(value) + mode_weights = {i: value for i, value in mode_weights.items() if value} + independent = [{} for _ in range(112)] + event_weights = {} + for mode, coefficient in mode_weights.items(): + for pair, value in space['directions'][mode]['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(independent[row], {column: p.lift(value)}, coefficient) + for position, value in space['directions'][mode]['events'].items(): + position = int(position) + event_weights[position] = event_weights.get(position, F(0)) + coefficient * p.lift(value) + event_weights = {i: value for i, value in event_weights.items() if value} + p.need(response == independent, 'Exact response recipes') + p.need(response == p.transpose(response), 'Symmetric response') + large, small = geometry['large_ports'], geometry['small_ports'] + centres = [] + for vertex in geometry['vertices']: + row = {} + for column in vertex['pair_columns']: + p.add(row, {int(i): F(value) for i, value in column.items()}) + centres.append(row) + gram = [{j: sum((row.get(k, F(0)) * other.get(k, F(0)) for k in large), F(0)) + for j, other in enumerate(centres)} for row in centres] + gram = [{j: value for j, value in row.items() if value} for row in gram] + p.need(gram == [{i: F(12)} for i in range(8)], 'Eight orthogonal centre rows') + outer = [{} for _ in range(112)] + for row in centres: + for i, value in row.items(): + p.add(outer[i], row, value) + projector = [{j: value / 12 for j, value in row.items()} for row in outer] + p.need(p.product(projector, projector) == projector, 'Rank-eight centre projector') + for i in large: + expected = {j: value / 2 for j, value in outer[i].items()} + p.add(expected, {i: F(1)}, -1) + p.need(response[i] == expected, 'Exact rank-eight response formula') + inverse = [{} for _ in range(112)] + for i in small: + inverse[i] = {j: value / 4 for j, value in response[i].items()} + for i in large: + inverse[i] = {j: value / 10 for j, value in outer[i].items()} + p.add(inverse[i], {i: F(1)}, -1) + p.need(p.product(response, inverse) == p.product(inverse, response) == identity(112), + 'Both exact inverse orders') + determinant = p.determinant(response) + p.need(determinant == 2**64 * 5**8, 'Exact determinant') + + edge_ports = {tuple(edge['vertices']): edge['ports'] for edge in geometry['pair_edges']} + matchings = factor_edges(set(edge_ports)) + p.need(matchings is not None and len(matchings) == 6, 'Six disjoint perfect matchings') + minor_ports = [sorted(port for edge in matching for port in edge_ports[edge]) for matching in matchings] + p.need(sorted(port for ports in minor_ports for port in ports) == large, 'Partition of 48 ports') + for ports in minor_ports: + actual = [[sum((left.get(j, F(0)) * right.get(j, F(0)) for j in ports), F(0)) + for right in centres] for left in centres] + p.need(actual == [[F(2) if i == j else F(0) for j in range(8)] for i in range(8)], + 'Orthogonal eight-port centre minor') + gauge_reports = {} + for count in (1, 2, 3, 4): + selected = sorted(port for ports in minor_ports[:count] for port in ports) + ordinary = sorted(set(large) - set(selected)) + h = [{j: (F(i == j) - outer[i].get(j, F(0)) / 2) for j in ordinary} + for i in ordinary] + hi = [{j: (F(i == j) + outer[i].get(j, F(0)) / (2 * (count - 5))) for j in ordinary} + for i in ordinary] + remap = {port: i for i, port in enumerate(ordinary)} + h = [{remap[j]: value for j, value in row.items() if value} for row in h] + hi = [{remap[j]: value for j, value in row.items() if value} for row in hi] + p.need(p.product(h, hi) == p.product(hi, h) == identity(len(ordinary)), 'Ordinary gauge inverse') + report = {'selected_ports': selected, 'ordinary_ports': ordinary, + 'selected_centre_compression': count, 'ordinary_centre_compression': 6 - count, + 'ordinary_inverse_denominator': count - 5} + if count > 1: + signs = {i: F(-1) if i in selected else F(1) for i in large} + a, ai = [], [] + remap = {port: i for i, port in enumerate(large)} + for i in large: + row = {j: value / (2 * (count - 5)) for j, value in outer[i].items()} + p.add(row, {i: signs[i]}) + a.append({remap[j]: value for j, value in row.items() if value}) + row = {j: signs[i] * value * signs[j] / (2 * (count - 1)) for j, value in outer[i].items()} + p.add(row, {i: signs[i]}) + ai.append({remap[j]: value for j, value in row.items() if value}) + p.need(p.product(a, ai) == p.product(ai, a) == identity(48), 'Data gauge inverse') + report['data_inverse_denominator'] = count - 1 + report['data_map_determinant'] = str(p.determinant(a)) + gauge_reports[str(count)] = report + + spec = importlib.util.spec_from_file_location('structured_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + payload = {'schema': 'native-structured-centres-v1', 'response': p.encode(response), + 'centre_rows': p.encode(centres), 'projector': p.encode(projector), + 'inverse': p.encode(inverse), 'providers': {}} + receipt = {'status': 'PASS_NATIVE_STRUCTURED_CENTRES', 'source_core_sha256': probe.PIN, + 'symmetric_source_sha256': SYMMETRIC_PIN, 'geometry_sha256': GEOMETRY_PIN, + 'response_space_sha256': p.PINS['RESPONSE-SPACE.json'], + 'determinant': str(determinant), 'centre_rank': 8, + 'centre_support_ports': large, 'centre_row_supports': [sorted(row) for row in centres], + 'perfect_matchings': matchings, 'orthogonal_minor_ports': minor_ports, + 'gauge_identities': gauge_reports, 'providers': {}} + for provider, item in probe.core['providers'].items(): + word = item['canonical'] + n = len(word['start']) + initial = {i: {(i, ()): F(1)} for i in range(n + 8)} + split = item['programs']['forward'].index(['phase', 'zero_frame_precondition']) + programs, reports = {}, {} + for direction in ('forward', 'backward'): + backward = direction == 'backward' + program = [['phase', 'structured_centres_response']] + [ + ['scalar', ['clear', ['C', i]], 0] for i in range(8)] + for position in range(split, len(item['programs'][direction])): + event = deepcopy(item['programs'][direction][position]) + forward = item['programs']['forward'][position] + if forward[0] == 'scalar' and forward[1][0] == 'add': + target, source = forward[1][1:3] + is_y = lambda slot: slot[0] == 'L' and 112 <= slot[1] < 224 + if is_y(target) and not is_y(source): + coefficient = event_weights.get(position, F(0)) + if not coefficient: + continue + if backward: + p.need(event[1][1:3] == [source, target], 'Transpose transfer site') + coefficient = -coefficient + event[1][3:5] = [coefficient.numerator, coefficient.denominator] + program.append(event) + actual = probe.e.core_replay(program, initial, word, backward)[0] + expected = deepcopy(initial) + for i in range(n, n + 8): + expected[i] = {} + for i, row in enumerate(response): + for j, coefficient in row.items(): + p.add(expected[j if backward else 112 + i], + initial[112 + i if backward else j], -coefficient if backward else coefficient) + p.need(all(actual[i] == expected[i] for i in range(n + 8)), 'All native columns and helpers') + native = lambda event: event[0] in ('climb', 'warp', 'adapter', 'residual_adapter') + p.need([event for event in program if native(event)] == + [event for event in item['programs'][direction] if native(event)], 'Unchanged native records') + profile = Counter(event[5] for event in program if event[0] == 'climb') + reports[direction] = {'all_input_columns': n + 8, 'borrowed_helpers_restored': n - 224, + 'private_zero_buffers_restored': len(word['zero_buffers']), + 'owned_outputs_zero': 8, + 'scalar_real_primitives': probe.e.core_price(program), + 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': sum(k*v for k, v in profile.items()), + 'native_children': sum(profile.values()), 'native_records_identical': True} + programs[direction] = program + payload['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = reports + print(provider, reports, flush=True) + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Native forward response and negative transpose, exact rank-eight inverse formula, ' + 'and algebraic gauge identities. Division by five, physical gauge programs, ' + 'supplier code transport, terminal decoding, and recursive pricing are not implemented here.') + (HERE / 'STRUCTURED-CENTRES.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json new file mode 100644 index 0000000000..912c677d64 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json @@ -0,0 +1,29 @@ +{ + "status": "FROZEN_INDEPENDENT_NEW_CORE_NATIVE_REVIEW", + "files": { + "check_new_native.py": { + "sha256": "937543157459e5c0eee788feefcf2107acf6bdf660a1209cdecece1ca1f26d01", + "bytes": 14989 + }, + "NEW-CORE-NATIVE-REVIEW.md": { + "sha256": "cc1bc4efe1f35cbd405bc1c819a7bb3dc4bae7fcd5964e396ed1a45cd4fc6d7a", + "bytes": 7408 + }, + "NEW-CORE-NATIVE-REVIEW.json": { + "sha256": "924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d", + "bytes": 3976 + }, + "NEW-CORE-LOGICAL-REVIEW.md": { + "sha256": "dc7a2a8f8cb3e7f872266d406af157f4dcf7caa0dc74c5ceefcaa016a2fe2c7e", + "bytes": 6237 + }, + "NEW-CORE-LOGICAL-REVIEW-FINAL.json": { + "sha256": "ba69ba9ec68c269c76966a7d62a855a19d920e79de7e1151c8ac5070c92d1ada", + "bytes": 4554 + }, + "check_new_core.py": { + "sha256": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "bytes": 13365 + } + } +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json new file mode 100644 index 0000000000..916eb0cb6d --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json @@ -0,0 +1,144 @@ +{ + "checker_sha256": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "native_owner_or_recursive_invoice": false, + "physical_phase_status": "Only exact native-record inheritance checked here; fresh recipe verification is a separate obligation.", + "providers": { + "base": { + "backward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + }, + "forward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + } + }, + "extra": { + "backward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + }, + "forward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + } + } + }, + "source_pins": { + "canonical_base": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "canonical_extra": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "clean_payload": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "interface": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "local_source": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "producer": "00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa", + "producer_receipt": "c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e", + "proof": "d12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0", + "source_base": "300a9b8ad1d554f0e6f84f43f3f5fd870a5b4e5f81ad856900b6e8999684892e", + "source_extra": "495d030f1e03b90e954dad3043994f03293d41b9ed220a3beaef849df435d3f0" + }, + "status": "PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md new file mode 100644 index 0000000000..2af6de29f2 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md @@ -0,0 +1,122 @@ +# Independent logical review of the new clean-J core + +All four local programs pass the independent exact operator check. Both +PR3133 providers give the forward map `(x,y,h)->(x,y+Jx,h)` and the +backward map `(x,y,h)->(x-Jy,y,h)`, where `J=I-R^T R/4` for the actual +112-port source matrix R. Each word costs 164,514 real scalar primitives +and has native rank mass 5,073. + +This file accepts the logical map, arbitrary-helper restoration, frame +bindings, zero-buffer contract, and local counts. Fresh verification of +the physical native recipes is a separate pending step. This file does +not accept a new global controller, owner allocation, private hosting +bound, precision bound, or complete kappa calculation. + +## Pinned input and method + +The reviewed proof is `../new-core-transfer-20261017/CLEAN-J-TRANSFER.md`, +SHA-256 `d12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0`. +The complete decompressed program payload has SHA-256 +`a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa`. +The producer receipt has SHA-256 +`c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e`. +The source and canonical pins are in the independent receipt. + +The review imports no producer or source interpreter. It checks the +published PR3148 source bytes and their object equality with the local +PR3133 words. It checks the complete compact role inventory against the +source's removed-helper list. It compares every retained native record +and the complete retained scalar suffix against the source program. + +The independent operator method propagates output coefficients backward. +Coefficients belong to the rational group algebra of free invertible +warp generators. A scalar ADD propagates the target output coefficients +into the source column. A warp prepends its signed generator to each +operator word, with adjacent inverse cancellation. The producer instead +propagates input rows forward and appends generators. The two methods +give the same complete matrix. + +Each program has 632 arbitrary live inputs and eight arbitrary C inputs. +The check also observes all 91 zero-buffer output rows. An allocation +sets only that buffer's input to zero. The logical check does not erase +a buffer at its free event. A separate lifetime pass proves that no +buffer has a later use. Thus a zero observed output proves that the +buffer is zero at its actual free event. + +## Findings + +Every one of the 408 helper input columns is the corresponding unit +column, with an empty operator word. All helper input effects cancel +from the data outputs. C0 ends at zero. C1 through C7 retain their +arbitrary physical inputs because no event uses them. All 91 buffer +output rows are zero. The zero buffers have a clean-input contract; +they are not counted as arbitrary borrowed fields. + +The new H has 367 coefficients on 106 helper roles. Every such role +has input frame I and output frame FULL. The new source H differs +from the old campaign H. The correction uses the new H, with one +serial C0 query per centre row. It preserves its source in both +directions. It clears no borrowed helper. + +For the forward centre-deleted word, the helper debt is `-K H h` in +Y. The prefix adds `K H h` before that word. For the backward word, +the debt is `H^T R y/4` in the helpers. The prefix subtracts this +quantity before that word. The independent full-word calculation +verifies these cancellations on arbitrary inputs, including every +warp path and all cleanup gates. + +Each complete word contains 23,388 events. The input correction has +832 events and costs 8,526 real primitives. Deletion removes exactly +eight rank-eight private centre children. All 5,115 other native +records remain unchanged: 3,507 climbs, 240 warps, 978 ordinary +adapters, and 390 residual adapters. The child profile is +`{1:2433,2:724,3:228,4:102,5:20}`. + +The forward invoice is `158148-2160+8526=164514`. The backward invoice +is `158196-2208+8526=164514`. A separate count of every scalar event +agrees. Every scalar frame and retained native entry frame matches. +All live endpoint frames match the canonical source. + +Controls remove the input correction or change one of its coefficients. +Each control gives a different complete operator. The checks do not +rely on random inputs or a finite specialization of a warp matrix. + +## Warp convention and phase boundary + +The source emitter describes backward warps as conjugates of forward +warps. The source phase table uses the forward K_G convention. This +distinction must be explicit in the physical review. + +The checked backward word is an identity over free invertible warp +generators. Therefore its endpoint map holds under either consistent +substitution: K_G or conjugate(K_G), with inverse occurrences assigned +the corresponding inverse. No relation between the forward and backward +generator substitutions is used in this proof. This observation permits +a choice of physical warp convention; it does not replace a check of +the exact chart transport, monomial rank, and global phase for that +choice. + +The retained phase evidence alone is not treated as a fresh physical +replay. The new canonical providers have 1,130 frames, and their proper +helper terminal spaces must be used in the residual wrappers. The +physical review must check those actual instances, including width-six +helpers and the exact target adapters. It must not substitute the older +T74 frame set or silently use FULL for a proper terminal space. + +## Reproduction + +Run with a new output path: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_core.py --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json +``` + +The checker prints one `PASS_640_ARBITRARY_COLUMNS_AND_91_ZERO_OUTPUTS` +line for each of the four programs, followed by +`PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER`. It ran with exact rational +arithmetic and optimization enabled. The source interpreter was not +imported or run by this independent checker. + +OpenAI Codex assisted the review under the user's direction. No PR, +commit, or push is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json new file mode 100644 index 0000000000..3cfc26d8f9 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json @@ -0,0 +1,105 @@ +{ + "backward_binding": "Both a consistent K choice and the literal inverse-transpose choice conjugate(K) have exact rank-zero recipes. The literal dual differs in 172 of 180 physical classes per provider.", + "clean_payload_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "interpreter_sha256": "087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b", + "max_rss_bytes": 150323200, + "method": "Independent Pauli conjugation and exact 512-entry Gaussian zero-state vectors; no generator or Clifford compiler import", + "providers": { + "base": { + "child_classes": 3036, + "endpoint_classes": 224, + "frames": 1130, + "helper_width_profile": { + "4": 26, + "5": 2, + "6": 18, + "7": 50, + "8": 99, + "9": 213 + }, + "literal_dual_classes": 180, + "literal_dual_recipes_different_from_forward": 172, + "native_occurrences": { + "backward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "forward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + } + }, + "negative_controls": [ + "wrong global phase with equal Pauli action", + "wrong FULL terminal", + "literal conjugate K can differ from K" + ], + "physical_warp_classes": 180, + "pins": { + "CANONICAL-WORD.json.gz": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "CLIFFORD-RECIPES.json": "580dee1ca6d0a2971bc1dbe93558b8331bfa61662ce1736b24d944a55127b4f0", + "LITERAL-DUAL-WARP-RECIPES.json": "e880f4e6ff6308675b766bfa63d472c1050b01f17fac78f8810b04eedc6e0a6e", + "LOCAL-PROGRAMS.json.gz": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "RESIDUAL-ADAPTERS.json": "8a6130051284adf76ec932bc2a190058cc99efbed5d862bee819e3bc8c29a31b" + }, + "raw_warps": 72, + "residual_classes": 56, + "seconds": 63.83301916599157, + "status": "PASS_INDEPENDENT_NATIVE_CORE_LIFT", + "wrapped_helpers": 195 + }, + "extra": { + "child_classes": 3036, + "endpoint_classes": 224, + "frames": 1130, + "helper_width_profile": { + "4": 26, + "5": 2, + "6": 18, + "7": 50, + "8": 99, + "9": 213 + }, + "literal_dual_classes": 180, + "literal_dual_recipes_different_from_forward": 172, + "native_occurrences": { + "backward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "forward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + } + }, + "negative_controls": [ + "wrong global phase with equal Pauli action", + "wrong FULL terminal", + "literal conjugate K can differ from K" + ], + "physical_warp_classes": 180, + "pins": { + "CANONICAL-WORD.json.gz": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "CLIFFORD-RECIPES.json": "f3c678f44ac8c116376d707b088516b0c17744a8508f2863843b912738d2024e", + "LITERAL-DUAL-WARP-RECIPES.json": "0bafa16eea7a49af963346117cf61ca638859748752d5f0ed47a18fe6c4594ff", + "LOCAL-PROGRAMS.json.gz": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "RESIDUAL-ADAPTERS.json": "dd8d70e07ae6ecc028d7691611966fcaee946279964736997af0aa78c61c2282" + }, + "raw_warps": 72, + "residual_classes": 56, + "seconds": 37.52593279199209, + "status": "PASS_INDEPENDENT_NATIVE_CORE_LIFT", + "wrapped_helpers": 195 + } + }, + "scope": "Local phase-aware native lift. The whole scalar map is in the separate logical review. Global hosting, owner, controller, and recursive supplier admission remain separate.", + "status": "PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md new file mode 100644 index 0000000000..16fcf2d026 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md @@ -0,0 +1,146 @@ +# Independent review of the new-core native implementation + +The local native implementation passes. This review closes the native +phase dependency of `NEW-CORE-LOGICAL-REVIEW.md` for both new provider +words. Together, the two reviews establish the clean-J local maps on all +632 live fields, with 408 arbitrary borrowed helpers and 91 private zero +buffers. The local bill is 164514 real scalar primitives and native rank +mass 5073. The native profile is +`{1:2433, 2:724, 3:228, 4:102, 5:20}`. + +The review does not establish a complete supplier. The global controller, +owner assignment, private storage, recursive child hosting, precision, +and complete kappa calculation remain separate obligations. + +## Evidence and independence + +`check_new_native.py` reads the fresh recipes in +`../new-native-recipes-20261017`. Its constants pin the decompressed +canonical words and local programs, the serialized standard recipes, +the residual recipes, and the new literal dual recipes. The words come +from PR3133 and the byte-equal provider objects in PR3148. This review +uses their new frames and new warps. It does not substitute an earlier +provider's geometry. + +The checker imports the pinned independent interpreter +`../interface-proof/verify_native_lift.py`. It does not import the recipe +generator, `clifford_exact.py`, or the producer's proof checker. The +interpreter computes the action on all 18 Pauli generators and the exact +512-entry Gaussian dyadic image of the zero basis vector. It uses exact +integer arithmetic. It does not use a floating point tolerance. + +These checks prove operator equality, including global phase. If two +unitary operators have the same action on the Pauli generators, their +quotient commutes with every coordinate X and Z. Commutation with all Z +makes the quotient diagonal. Commutation with all X makes every diagonal +entry equal. Equality on the nonzero image of the zero basis vector fixes +that scalar as one. Thus one checked state and all Pauli generators prove +the equality on every input. This is not a claim that the checker tests +512 separate basis inputs for every recipe. + +For each provider the checker verifies: + +- All 1130 frame bases and all 3036 directed child classes. +- All 224 source and target endpoint adapters. +- All 72 raw logical warp operators. +- All 180 standard physical warp classes. +- All 180 literal dual physical warp classes. +- All 56 residual wrapper classes, on 195 helpers. +- Every native occurrence in both clean-J words: 3507 children, 240 + warps, 978 ordinary adapters, and 390 residual adapters. + +## Frames, wrappers, and composition + +Let Gamma_U be the canonical frame of a binary subspace U. The checker +constructs it from U by an independent basis extension and the defining +permutation, quadratic phase, and coordinate Fourier gates. Each child +recipe is compared with `Gamma_V Gamma_U^-1`. The checker also verifies +that its frames are nested and that its paid rank is the absolute +difference of their dimensions. + +The source endpoint reference is the port-line operator C_q. The target +endpoint reference is `F C_q^-1`. The corresponding adapters are checked +against these operators, not only against their recorded frame numbers. +The other data endpoints are I at input and FULL at output. + +For a borrowed helper with entry E and terminal V, the raw residual is +`S = Gamma_V Gamma_E^-1`. A serialized recipe gives +`S = L C_[w] R`, where `w = dim(V)-dim(E)`. The checker proves both this +factorization and + + L^-1 S R^-1 = C_[w]. + +This is the required native action on w coordinate factors. It restores +the other `9-w` factors exactly, including phase. The helper width profile +is `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`. The proper terminal frames are +used as recorded; they are not replaced with FULL. + +The placement of these wrappers is also checked. No wrapped helper is +used by the added correction, the zero-frame precondition, or its +compensation before the entry wrapper. In particular, this check covers +the 61 helpers with entry I and a proper terminal. No proper-terminal +helper is used in the FULL-frame cleanup. These facts let the wrapper +factorization compose with the previously checked whole logical map. +All remaining scalar operations have equal operand frames, as proved in +the separate logical review. Every native record is bound to the exact +source record that the clean-J word retains. + +## Backward warp convention + +The literal inverse transpose of a unitary logical warp K is its +entrywise conjugate. The original serialized event labels are the same +for the two orientations. The orientation must therefore select the +correct physical recipe when it uses the literal dual convention. + +The new dual tables pass the independent test against + + Gamma_V conjugate(K)^sign Gamma_U^-1. + +Every such recipe has rank zero. The distinction is real: 172 of the 180 +dual physical recipes differ from the standard table for each provider. +The review does not treat the two tables as byte-equal. + +There is a general closure theorem behind this result. Let K be a +monomial Clifford operator whose nonzero entries are fourth roots of +unity. In a standard basis, write K as an affine permutation with phase +`i^(c + alpha.x + 2q(x))`, where q is a binary quadratic form. The quotient +`conjugate(K) K^-1` has phase `2(c+alpha.x)` modulo four, after an affine +change of coordinates. It is a signed Z Pauli. If +`W = Gamma_V K Gamma_U^-1` is monomial, then + + Gamma_V conjugate(K) Gamma_U^-1 + = (Gamma_V P Gamma_V^-1) W + +for that Pauli P. Clifford conjugation preserves the Pauli group, and a +Pauli is monomial. The dual product is therefore monomial. Apply the same +argument to `K^-1` for a negative occurrence. The fourth-root hypothesis +holds for every source K. With an arbitrary global phase, the quotient +is instead a scalar times a Pauli; monomial closure still follows, but +the serialized phase contract needs the stated hypothesis. + +The whole backward scalar map was proved over free invertible warp +generators. Thus it also permits a consistent same-K implementation. The +literal dual tables give the direct inverse-transpose implementation +without the need to use that alternative interpretation. + +## Checks, limits, and reproduction + +The run used Python isolation and optimization: + + python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_native.py --providers base extra --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json + +It returned `PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES`. Checks remain +active under `-O`. The receipt records all input pins and both providers. +Negative controls reject a wrong global phase that has the correct Pauli +action and a wrong FULL terminal. A further check confirms that literal +conjugation changes some source warp operators. + +Exact base operator identities imply the same identities for every +positive tensor power. This implication does not supply a caller's +exterior phases, legal source access, owner schedule, or recursive cost. +Those remain obligations of the complete construction. + +The fresh source generation, source attribution, and commit-pinned links +are in `../new-native-recipes-20261017/NATIVE-LIFT.md`. OpenAI Codex +assisted this independent review. This is a separate agent calculation, +not a maintainer review. No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW-FINAL.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW-FINAL.json new file mode 100644 index 0000000000..b2e2777657 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW-FINAL.json @@ -0,0 +1,204 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "method": "Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.", + "providers": { + "base": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + }, + "extra": { + "negative_controls": { + "B0:input_exchange:omit": true, + "B0:suffix:omit": true, + "B8:prefix:line": true, + "F8:prefix:omit": true, + "F8:suffix:omit": true + }, + "programs": { + "B0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4382, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 168896, + "zero_buffer_outputs_zero": 91 + }, + "B16": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 12798, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3523, + "native_rank_mass": 5089, + "new_monomial_wrappers": 32, + "new_rank_one_children": 16, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 177312, + "zero_buffer_outputs_zero": 91 + }, + "B8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 8590, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 173104, + "zero_buffer_outputs_zero": 91 + }, + "F0": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 430, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3507, + "native_rank_mass": 5073, + "new_monomial_wrappers": 0, + "new_rank_one_children": 0, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 164944, + "zero_buffer_outputs_zero": 91 + }, + "F8": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "boundary_scalar_cost": 4638, + "core_frame_checks": 18080, + "core_warp_events": 240, + "exact_signed_line_columns": 8192, + "native_children": 3515, + "native_rank_mass": 5081, + "new_monomial_wrappers": 16, + "new_rank_one_children": 8, + "owned_cleanup_scalar_cost": 14, + "private_outputs_zero": 8, + "scalar": 169152, + "zero_buffer_outputs_zero": 91 + } + } + } + }, + "scope": "Local operator-coded maps and complete local costs, with exact core native and signed-line dependencies. Inter-call code conversion, exterior caller phases, controller, legal owner/hosting, precision, and full supplier remain separate.", + "source_pins": { + "CLEAN-J-PROGRAMS.json.gz": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "RAW-SELECTED-TRANSFER.json": "da1831b17a79a4fd9ebe689d4f76e357bc912eda1e6b252818a7ef5685b1a739", + "RAW-SELECTED-TRANSFER.json.gz": "bc9fab3bc7c849da7eb055a9d7340bf110c11cdd54da049a8297a1324bfa54b1", + "RAW-SELECTED-TRANSFER.md": "53d8663fab6c1a6999fbc29ac310675fbea2b45f607f2f702af9787305c4ab03", + "emit_raw_selected.py": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc" + }, + "status": "PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER", + "two_sided_inverse_checks": { + "B0": "both orders in the free Q algebra", + "F8": "both orders in the free Q algebra" + } +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW.md new file mode 100644 index 0000000000..32115c4955 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-RAW-REVIEW.md @@ -0,0 +1,143 @@ +# Independent review of the new raw selected exchanges + +The five raw selected exchange maps pass on both new providers. The +zero-line backward map B0 puts the original selected X input into +productive selected Y output. It adds no native child to the clean-J +core. The coded forward map F8 puts the dense ordinary query into +completed selected X and adds eight rank-one children. These are exact +local operator-coded maps. Their inter-call conversion and complete +supplier cost remain open obligations. + +## Direct derivation + +Let A select ports `[0,7,20,27,36,46,57,111]`, and let U be the other +ports. The literal R of the new core gives + + J = [[0,-B],[-D,I-DB]], BD=13I. + +Write the content input as `x=(a,u)` and `y=(b,v)`. Physical X input is +Qx; physical Y input is y. At output the physical data are `F x'` and +`F Q^-1 y'`. Each Q_p is the positive port-line operator. F commutes with +each Q_p because both are products or linear combinations of commuting +translations. The proof does not move Q through B or D. + +Put `r=Q_A^-1 b`. A physical exchange of selected X and Y gives the core +content inputs `(r,u)` and `(Q_A a,v)`. The clean-J backward core gives + + X_A = r+Bv, + X_U = u+D Q_A a-v+DBv, + Y_A = Q_A a, + Y_U = v. + +The completed-X shear `X_U -= D X_A` gives B0: + + X_A' = Bv+r, + X_U' = u-v-Dr+D Q_A a, + Y_A' = Q_A a, + Y_U' = v. + +In physical selected Y the code cancels exactly: +`F Q_A^-1 Y_A'=F a`. Thus original selected input information is carried +by a productive output. The operation does not claim a free recovery of +all other information. Its content inverse is + + v = Y_U', + r = X_A'-Bv, + b = Q_A r, + a = Q_A^-1 Y_A', + u = X_U'+v+Dr-D Y_A'. + +The eight-line input code `v -= Dr` gives B8. It has selected X +`Bv-12r`, ordinary X `u-v+D Q_A a`, selected Y `Q_A a`, and ordinary Y +`v-Dr`. The second eight-line block removes `D Q_A a` from ordinary X +and gives B16. The factor 12 follows from `BD=13I`. + +For the forward map, first add `Dr` to ordinary Y, exchange the selected +physical inputs, use the clean-J forward core, and exchange the selected +physical outputs. This gives F8: + + X_A' = a-Q_A^-1 B u, + X_U' = u, + Y_A' = b, + Y_U' = v+(I-DB)u. + +Its content inverse is + + u = X_U', + a = X_A'+Q_A^-1 B X_U', + b = Y_A', + v = Y_U'-X_U'+DB X_U'. + +F0 omits the input code. Its ordinary Y row has the additional term +`-D Q_A^-1 b`; its other rows agree with F8. The checker verifies both +orders of the B0 and F8 inverse formulas in the free Q algebra. These +inverses prove information preservation. They are not priced native +decoder constructions. + +## Literal verification and cost + +`check_new_raw.py` does not import the producer. It uses the pinned +independent scalar and line-check engines. It propagates output +coefficients backward through every event in each of the ten complete +words. Explicit Q operations convert physical input to core content and +core content to physical output. The operator alphabet has disjoint Q, +forward-K, and dual-K symbols. It cancels only adjacent inverse symbols. +It does not sort symbols or assume that Q commutes through the native +warps or the query matrices. + +All 640 arbitrary live and private input columns have the stated +response. All 408 borrowed helpers have the identity logical response. +Every private zero-buffer output row is zero at release, for all 91 +buffers. All eight C outputs are zero. The final seven explicit clears +of C1 through C7 cost 14 real primitives and are included below. + +| Word | Real scalar primitives | Native rank mass | Child count | New rank-one children | +| --- | ---: | ---: | ---: | ---: | +| B0 | 168896 | 5073 | 3507 | 0 | +| B8 | 173104 | 5081 | 3515 | 8 | +| B16 | 177312 | 5089 | 3523 | 16 | +| F0 | 164944 | 5073 | 3507 | 0 | +| F8 | 169152 | 5081 | 3515 | 8 | + +Every retained core is the exact reviewed clean-J word. Its scalar +frames, native frames, 240 warp occurrences, and 91 buffer lifetimes are +checked again. The complete local scalar bill is recomputed. Physical +boundary operations are checked as operations on data or owned private +fields; they do not require equality of the two logical frames that the +exchange changes. No borrowed helper is a boundary source or target. +Each private copy starts from a cleared C0. Every new line has two +explicit monomial wrappers. All sixteen signed recipes pass independent +checks on all 512 spatial basis columns, for 8192 checks per provider. + +The fresh native review in `NEW-CORE-NATIVE-REVIEW.md` supplies every +retained core phase recipe, including the literal dual warp table for +the backward word and the proper-terminal helper wrappers. It also +checks wrapper placement. No earlier provider geometry is substituted. + +## Reproduction and controls + +The final run used: + + python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_raw.py --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-RAW-REVIEW-FINAL.json + +It returned `PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER`. All checks +remain active under `-O`. For each provider, five complete-word negative +controls reject a wrong inverse-line sign, an omitted backward input +exchange, an omitted backward lower shear, an omitted forward output +exchange, and an omitted forward input code. The latter is the verified +F0 map, which differs from F8. Both orders of both displayed content +inverses also pass. + +The result resolves a local source-information return problem by changing +the interface: selected original input can be carried into productive +output at no added native rank cost. A controller must now use the exact +operator-coded rows. A raw physical exchange does not supply a free +cross-call code conversion, decoder, or owner assignment. The caller's +exterior phases, legal inter-call views, private hosting, recursive +children, precision, and complete invoice remain separate obligations. + +The producer's proof and predecessor credit are in +`../new-core-transfer-20261017/RAW-SELECTED-TRANSFER.md`. Input pins, +independent-engine pins, exact results, and review hashes are in the +receipt and freeze file. OpenAI Codex assisted this independent review. +No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.json new file mode 100644 index 0000000000..f71633a4db --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.json @@ -0,0 +1,217 @@ +{ + "independent_engine_pins": { + "check_new_core.py": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "check_oblique_backward.py": "7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd" + }, + "negative_controls": [ + "omitted oblique input return", + "wrong return sign", + "borrowed helper clear", + "wrong signed-line kernel sign on every spatial column" + ], + "providers": { + "base": { + "backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 164626, + "scalar_and_boundary_frame_checks": 18120, + "zero_buffer_outputs_zero": 91 + }, + "coded_backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 171938, + "scalar_and_boundary_frame_checks": 19072, + "zero_buffer_outputs_zero": 91 + }, + "coded_forward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 171938, + "scalar_and_boundary_frame_checks": 19072, + "zero_buffer_outputs_zero": 91 + }, + "forward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 164626, + "scalar_and_boundary_frame_checks": 18120, + "zero_buffer_outputs_zero": 91 + }, + "oblique_backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3523, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 16, + "profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5089, + "scalar": 172050, + "scalar_and_boundary_frame_checks": 19112, + "zero_buffer_outputs_zero": 91 + } + }, + "extra": { + "backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 164626, + "scalar_and_boundary_frame_checks": 18120, + "zero_buffer_outputs_zero": 91 + }, + "coded_backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 171938, + "scalar_and_boundary_frame_checks": 19072, + "zero_buffer_outputs_zero": 91 + }, + "coded_forward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 171938, + "scalar_and_boundary_frame_checks": 19072, + "zero_buffer_outputs_zero": 91 + }, + "forward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3515, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 8, + "profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5081, + "scalar": 164626, + "scalar_and_boundary_frame_checks": 18120, + "zero_buffer_outputs_zero": 91 + }, + "oblique_backward": { + "arbitrary_helpers_restored": 408, + "arbitrary_input_columns": 640, + "children": 3523, + "core_native_records_inherited": true, + "exact_signed_line_columns": 8192, + "new_line_children": 16, + "profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "rank_mass": 5089, + "scalar": 172050, + "scalar_and_boundary_frame_checks": 19112, + "zero_buffer_outputs_zero": 91 + } + } + }, + "scope": "Ten local maps, complete scalar/frame accounting, and exact signed-line kernels. Core phase recipes have a separate independent review. Exterior caller phase matching, global controller, owner, hosting, and complete recursive supplier remain separate.", + "source_pins": { + "CLEAN-J-PROGRAMS.json.gz": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "SIGNED-EXTENSIONS.json": "0b5a7ca0e1e2657d182db466c07042293ed6c504f9b01bbcac2bf6f15ca06a3a", + "SIGNED-EXTENSIONS.json.gz": "76a318f7c066c65fc43bc5bd4e93faf60036245dac9a9f596f7f95739b2ab272", + "SIGNED-EXTENSIONS.md": "5c9dc4091a8c1c70e4a7090f9435f94740e6355f0ae0d8f861f38d1e35ebd635", + "emit_signed_extensions.py": "8a33029ce23ace9c626de7d90e44aa0318cd97025a9a928fc3a22d848326f6c5" + }, + "status": "PASS_INDEPENDENT_NEW_SIGNED_EXTENSIONS" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.md new file mode 100644 index 0000000000..5a59529281 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.md @@ -0,0 +1,74 @@ +# Independent review of the new signed local maps + +All ten local words pass. The review covers the plain signed forward and +backward maps, their coded forms, and the oblique backward map on both +new provider words. The maps are + + F_S(x,y) = (x, y+Sx), + B_S(x,y) = (x-Sy, y), + coded F_S(x,y) = (x, S(x+y)), + coded B_S(x,y) = (S^-1 x-y, y), + oblique B_S(x,y) = ((S^-1+Pi)x-y, y-Pi x). + +Here `S=I-KR-Pi`, `K=R^T/4`, and Pi selects ports +`[0,7,20,27,36,46,57,111]`. The checker derives S and its inverse from +the literal new R. It verifies both inverse orders, `RK=14I`, +`R Pi K=I`, `P^2=P`, and `P S^-1=-Pi`, where `P=Pi K R`. +The inverse uses dyadic coefficients only. + +The complete local bills are: + +| Map | Real scalar primitives | Native rank mass | Child count | +| --- | ---: | ---: | ---: | +| Plain signed F or B | 164626 | 5081 | 3515 | +| Coded signed F or B | 171938 | 5081 | 3515 | +| Oblique B | 172050 | 5089 | 3523 | + +Each signed boundary has eight rank-one children and sixteen explicit +monomial wrappers. The oblique word has two such boundaries. The scalar +bill includes the common-bank code factors, owned copies, additions, +clears, and the complete retained core. + +`check_new_signed.py` imports two pinned independent review engines. It +does not import the producer. It propagates output coefficients backward +through the complete literal word in the free algebra of invertible +warp symbols. This is distinct from the producer's forward row replay. +Every program uses the exact retained clean-J core. Every scalar and +boundary access has a checked frame. All 640 arbitrary live and private +input columns have the required response. All 408 borrowed helpers have +the identity logical response. Each of the 91 private zero-buffer output +rows is zero at release. C0 returns to zero; C1 through C7 remain unused +and retain their arbitrary input values. + +The sixteen signed line recipes are checked on every spatial basis +input. For each recipe the checker independently applies the two affine +permutations around the coordinate rank-one kernel and compares both +Gaussian coefficients with the required signed C_q kernel. This gives +8192 exact spatial column checks per provider. It also binds each q to +the actual new port. The core's full phase-aware implementation and +proper-terminal wrapper contracts are proved in +`NEW-CORE-NATIVE-REVIEW.md`. + +The run used: + + python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_signed.py --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-SIGNED-REVIEW.json + +It returned `PASS_INDEPENDENT_NEW_SIGNED_EXTENSIONS`. Negative controls +reject an omitted oblique input return, the wrong return sign, a borrowed +helper clear, and the wrong signed-line kernel on every checked spatial +column. The checks remain active under `-O`. + +This result makes these mechanisms available on the lower-cost new core. +It does not choose a complete caller. A caller must still prove that its +paired exterior phases permit the same-port boundary copies and adds. +Legal source access, owner assignment, decoding, query transport, +recursive child hosting, precision, and the complete supplier invoice +remain separate obligations. In particular, a uniform coded target can +leave holes and is not automatically the mixed retiring target used by +the earlier 448-decoder construction. + +The producer's proof and predecessor credit are in +`../new-core-transfer-20261017/SIGNED-EXTENSIONS.md`. The source and +independent-engine pins are in the receipt and freeze file. OpenAI Codex +assisted this independent review. No PR, push, or publication commit was +made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_core.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_core.py new file mode 100644 index 0000000000..a47036bdd0 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_core.py @@ -0,0 +1,247 @@ +"""Review the changed clean-J words by free-operator transpose replay.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-core-transfer-20261017' +UPSTREAM = LANES.parent / 'upstream-refresh-20261017/pr3148/research/coupled-carrier-cap740/words' +PINS = { + 'clean_payload': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', + 'interface': 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746', + 'source_base': '300a9b8ad1d554f0e6f84f43f3f5fd870a5b4e5f81ad856900b6e8999684892e', + 'source_extra': '495d030f1e03b90e954dad3043994f03293d41b9ed220a3beaef849df435d3f0', + 'canonical_base': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', + 'canonical_extra': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', + 'local_source': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'proof': 'd12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0', + 'producer': '00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa', + 'producer_receipt': 'c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e', +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def read(path, key, zipped=False): + raw = path.read_bytes() + if zipped: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == PINS[key], key + ' source pin') + return json.loads(raw) + + +def plus(target, source, value=F(1)): + for key, coefficient in source.items(): + coefficient = target.get(key, F(0)) + value * coefficient + if coefficient: + target[key] = coefficient + else: + target.pop(key, None) + + +def scalar(op): + kind, target = op[0], tuple(op[1]) + source = tuple(op[2]) if kind in ('copy', 'add') else None + coefficient = F(*op[-2:]) if kind in ('scale', 'add') else F(1) + need(kind in ('clear', 'copy', 'scale', 'add'), 'Scalar grammar') + need(source is None or source != target, 'Distinct scalar operands') + return kind, target, source, coefficient + + +def pullback(events, fields, columns=None): + columns = deepcopy(columns) if columns is not None else {f: {(f, ()): F(1)} for f in fields} + for event in reversed(events): + tag = event[0] + if tag == 'scalar': + kind, target, source, coefficient = scalar(event[1]) + if kind == 'add': + plus(columns[source], columns[target], coefficient) + elif kind == 'scale': + columns[target] = {key: coefficient * value for key, value in columns[target].items()} + elif kind == 'copy': + need(target[0] in ('C', 'Z'), 'Only owned copies') + plus(columns[source], columns[target]) + columns[target] = {} + else: + need(target == ('C', 0), 'Only serial owned C0 is cleared') + columns[target] = {} + elif tag == 'warp': + target, symbol = tuple(event[1]), event[2] + columns[target] = { + (output, word[1:] if word and word[0] == -symbol else (symbol,) + word): value + for (output, word), value in columns[target].items() + } + elif tag == 'zero_buffer': + if event[1] == 'alloc': + columns['Z', event[2]] = {} + else: + need(event[1] == 'free', 'Buffer lifetime grammar') + else: + need(tag in ('phase', 'climb', 'adapter', 'residual_adapter'), 'Centre-free event grammar') + return columns + + +def expected_columns(fields, r, backward): + out = {f: {} if f[0] == 'Z' or f == ('C', 0) else {(f, ()): F(1)} for f in fields} + for p in range(112): + source = ('L', 112 + p if backward else p) + target = ('L', p if backward else 112 + p) + plus(out[source], {(target, ()): F(-1 if backward else 1)}) + for row in r: + for q, coefficient in row.items(): + target = ('L', q if backward else 112 + q) + plus(out[source], {(target, ()): coefficient}, row.get(p, F(0)) * (1 if backward else -1) / 4) + return out + + +def price(op): + kind, _, _, value = scalar(op) + if kind in ('clear', 'copy'): + return 2 + numerator, denominator = abs(value.numerator), value.denominator + need(numerator > 0 and not denominator & (denominator - 1), 'Dyadic scalar') + if kind == 'scale': + need(not numerator & (numerator - 1), 'Unit scale') + return 2 * (abs(numerator.bit_length() - denominator.bit_length()) + int(value < 0)) + return 2 * (1 + numerator.bit_length() + numerator.bit_count() + denominator.bit_length()) + + +def types_and_cost(events, canonical): + frames = {('L', i): value for i, value in enumerate(canonical['start'])} + frames.update({('C', i): None for i in range(8)}) + active, allocated, freed = set(), set(), set() + profile, native, scalars, bill = Counter(), Counter(), 0, 0 + for event in events: + tag = event[0] + if tag == 'scalar': + kind, target, source, _ = scalar(event[1]) + if kind == 'clear': + need(target == ('C', 0), 'Only owned C0 can be cleared') + frames[target] = event[2] + else: + need(frames[target] == event[2] and (source is None or frames[source] == event[2]), 'Scalar endpoint frames') + need(all(ref[0] != 'C' or ref[1] == 0 for ref in (target, source) if ref is not None), 'C1 to C7 are untouched') + bill += price(event[1]) + scalars += 1 + elif tag == 'climb': + _, _, field, before, after, width = event + need(frames['L', field] == before, 'Native frame input') + need(len(canonical['frames'][after]) - len(canonical['frames'][before]) == width, 'Native frame width') + frames['L', field] = after + native[tag] += 1 + profile[width] += 1 + elif tag == 'warp': + field = tuple(event[1]) + need(frames[field] == event[3], 'Warp input frame') + frames[field] = event[4] + native[tag] += 1 + elif tag == 'zero_buffer': + field = ('Z', event[2]) + if event[1] == 'alloc': + need(field not in allocated and field not in frames, 'Single clean allocation') + active.add(field) + allocated.add(field) + frames[field] = 1 + else: + need(event[1] == 'free' and field in active, 'Live buffer release') + active.remove(field) + freed.add(field) + del frames[field] + elif tag in ('adapter', 'residual_adapter'): + native[tag] += 1 + else: + need(tag == 'phase', 'Complete event grammar') + need(not active and allocated == freed == {('Z', z) for z in canonical['zero_buffers']}, 'Every zero-buffer lifetime') + need([frames['L', i] for i in range(632)] == canonical['final'], 'All live endpoint frames') + need(frames['C', 0] == 0, 'C0 ends at I') + need(profile == Counter({1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}), 'Complete child profile') + need(native == Counter(climb=3507, warp=240, adapter=978, residual_adapter=390), 'Retained native inventory') + need(bill == 164514, 'Complete real scalar invoice') + return {'scalar_events': scalars, 'scalar_cost': bill, 'native_profile': dict(sorted(profile.items())), + 'native_mass': sum(rank * count for rank, count in profile.items()), + 'native_records': dict(native), 'zero_lifetimes': len(allocated)} + + +def main(out): + for filename, key in (('CLEAN-J-TRANSFER.md', 'proof'), ('emit_clean_j.py', 'producer'), ('CLEAN-J-TRANSFER.json', 'producer_receipt')): + need(sha256((SOURCE / filename).read_bytes()).hexdigest() == PINS[key], key + ' source pin') + data = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'clean_payload', True) + interface = read(SOURCE / 'INTERFACE.json', 'interface') + r = [{int(j): F(value) for j, value in row.items()} for row in interface['R']] + h = [{int(j): F(value) for j, value in row.items()} for row in interface['H']] + need(data['R'] == interface['R'] and data['H'] == interface['H'], 'Whole interface metadata') + need(len(set().union(*(set(row) for row in h))) == 106 and sum(map(len, h)) == 367, 'Changed helper debt support') + result = {'status': 'PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER', 'source_pins': PINS, 'providers': {}} + for name in ('base', 'extra'): + published = json.loads(gzip.decompress((UPSTREAM / (name + '.json.gz')).read_bytes())) + need(sha256((UPSTREAM / (name + '.json.gz')).read_bytes()).hexdigest() == PINS['source_' + name], 'Published source bytes') + local = SOURCE / ('native-original-' + name) + need(published == json.loads(gzip.decompress((local / 'FULL-WORD.json.gz').read_bytes())), 'Source word object equality') + canonical = read(local / 'CANONICAL-WORD.json.gz', 'canonical_' + name, True) + original = read(local / 'LOCAL-PROGRAMS.json.gz', 'local_source', True) + provider = data['providers'][name] + need(provider['canonical'] == canonical, 'Whole canonical metadata') + kept = list(range(224)) + canonical['helper_origin'] + need(len(kept) == len(set(kept)) == 632, 'Compact role inventory') + need(canonical['ports'] == published['ports'], 'Actual published port labels') + need(kept == sorted(set(range(704)) - set(published['removed'])), 'Actual published live roles') + mapping = {role: i for i, role in enumerate(kept)} + need(all(canonical['start'][mapping[j]] == 0 and canonical['final'][mapping[j]] == 1 for row in h for j in row), 'All correction helper roles have I/FULL endpoints') + fields = [('L', i) for i in range(632)] + [('C', i) for i in range(8)] + [('Z', z) for z in canonical['zero_buffers']] + result['providers'][name] = {} + for orientation in ('forward', 'backward'): + events = provider['programs'][orientation] + old = original[orientation] + left, right = old.index(['phase', 'centers']), old.index(['phase', 'B']) + deleted = old[left + 1:right] + need(deleted == provider['removed_centre_blocks'][orientation], 'Exact removed centre block') + need(Counter(e[4] for e in deleted if e[0] == 'center') == Counter({8: 8}), 'Eight rank-eight centre children removed') + prefix_end = events.index(['phase', 'zero_frame_precondition']) + need(prefix_end == 832 and len(events) == 23388, 'Complete word boundaries') + tail = old[:left + 1] + old[right:] + need(events[prefix_end:] == tail, 'Only the stated deletion changes the retained source') + native = lambda word: [e for e in word if e[0] in ('climb', 'warp', 'adapter', 'residual_adapter')] + need(native(events) == native(old), 'Every native event is byte-identical') + controls = {} + tail_columns = pullback(tail, fields) + actual = pullback(events[:prefix_end], fields, tail_columns) + expected = expected_columns(fields, r, orientation == 'backward') + need(actual == expected, 'Complete exact free-operator map') + need(all(actual['L', j] == {(('L', j), ()): F(1)} for j in range(224, 632)), 'All arbitrary helpers restored') + need(all(not actual['Z', z] for z in canonical['zero_buffers']), 'All zero-input columns erased at allocation') + need(all(output[0] != 'Z' for column in actual.values() for (output, word) in column), 'Every Z output is zero at its release') + controls['omitted_input_correction'] = tail_columns != expected + wrong = deepcopy(events[:prefix_end]) + first_add = next(e for e in wrong if e[0] == 'scalar' and e[1][0] == 'add') + first_add[1][3] = -first_add[1][3] + controls['wrong_input_coefficient'] = pullback(wrong, fields, tail_columns) != expected + need(all(controls.values()), 'Changed-word controls') + report = types_and_cost(events, canonical) + report.update(formal_arbitrary_inputs=640, arbitrary_helpers=408, owned_zero_buffers=91, + C0_output='zero', C1_to_C7='untouched arbitrary inputs', events=len(events), + free_operator_output_words='all empty', controls=controls) + result['providers'][name][orientation] = report + print(name, orientation, 'PASS_640_ARBITRARY_COLUMNS_AND_91_ZERO_OUTPUTS', flush=True) + result['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + result['physical_phase_status'] = 'Only exact native-record inheritance checked here; fresh recipe verification is a separate obligation.' + result['native_owner_or_recursive_invoice'] = False + need(not out.exists(), 'Use a new output path') + out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_native.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_native.py new file mode 100644 index 0000000000..471b3150a2 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_native.py @@ -0,0 +1,246 @@ +"""Check new-core native recipes with a separate exact interpreter.""" + +import argparse +from collections import Counter +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import resource +import time + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-native-recipes-20261017' +INTERPRETER = LANES / 'interface-proof/verify_native_lift.py' +INTERPRETER_PIN = '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b' +CLEAN = LANES / 'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz' +CLEAN_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +PINS = { + 'base': { + 'CANONICAL-WORD.json.gz': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', + 'LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'CLIFFORD-RECIPES.json': '580dee1ca6d0a2971bc1dbe93558b8331bfa61662ce1736b24d944a55127b4f0', + 'RESIDUAL-ADAPTERS.json': '8a6130051284adf76ec932bc2a190058cc99efbed5d862bee819e3bc8c29a31b', + 'LITERAL-DUAL-WARP-RECIPES.json': 'e880f4e6ff6308675b766bfa63d472c1050b01f17fac78f8810b04eedc6e0a6e', + }, + 'extra': { + 'CANONICAL-WORD.json.gz': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', + 'LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'CLIFFORD-RECIPES.json': 'f3c678f44ac8c116376d707b088516b0c17744a8508f2863843b912738d2024e', + 'RESIDUAL-ADAPTERS.json': 'dd8d70e07ae6ecc028d7691611966fcaee946279964736997af0aa78c61c2282', + 'LITERAL-DUAL-WARP-RECIPES.json': '0bafa16eea7a49af963346117cf61ca638859748752d5f0ed47a18fe6c4594ff', + }, +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def pinned(path, pin): + raw = path.read_bytes() + if path.suffix == '.gz': + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(raw) + + +def rank(vectors): + pivots = {} + for value in vectors: + while value: + p = value.bit_length() - 1 + if p not in pivots: + pivots[p] = value + break + value ^= pivots[p] + return len(pivots) + + +def raw_k(columns, native, dual=False): + matrix = native.transpose(tuple(columns)) + columns_inverse = native.transpose(native.inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(native.parity(a & b) << j + for j, b in enumerate(columns_inverse)) + for i, a in enumerate(columns_inverse)) + linear = tuple(((-1 if dual else 1) * ((row >> i) & 1)) % 4 + for i, row in enumerate(quadratic)) + return (('P', matrix), ('D', quadratic, linear)) + + +def fields(event): + if event[0] == 'warp': + return [tuple(event[1])] + if event[0] == 'scalar': + return [tuple(x) for x in event[1][1:] if isinstance(x, list)] + return [] + + +def review(provider, native, clean): + started = time.monotonic() + data = {name: pinned(SOURCE / provider / name, pin) for name, pin in PINS[provider].items()} + c = data['CANONICAL-WORD.json.gz'] + original = data['LOCAL-PROGRAMS.json.gz'] + phase = data['CLIFFORD-RECIPES.json'] + residual = data['RESIDUAL-ADAPTERS.json'] + frames = [native.frame(tuple(v), 9) for v in c['frames']] + need(len(frames) == 1130 and c['h'] == 9 and c['v'] == 112 and c['R'] == 408, 'Canonical dimensions') + need(all(rank(v) == len(v) for v in c['frames']), 'Every frame is a basis') + edges = set(map(tuple, c['edges'])) | {(a, b) for f in c['center_frames'] for a, b in ((f, 0), (0, f))} + children = {(r['old'], r['new']): r for r in phase['children']} + need(len(children) == len(phase['children']) == 3036 and set(children) == edges, 'Exact child coverage') + for i, ((a, b), record) in enumerate(sorted(children.items())): + va, vb = c['frames'][a], c['frames'][b] + need(rank(va + vb) == max(len(va), len(vb)), 'Nested child spaces') + need(record['rank'] == abs(len(vb) - len(va)), 'Child rank') + native.equal(native.recipe(record), native.adjoint(frames[a]) + frames[b], 'Child ' + str((a, b))) + if i % 200 == 0: + print(provider, 'independent phase edges', i, '/', len(children), flush=True) + + endpoints = {(r['role'], r['port']): r for r in phase['endpoint_adapters']} + need(len(endpoints) == len(phase['endpoint_adapters']) == 224, 'Unique endpoint recipes') + need(set(endpoints) == {(role, p) for role in ('source', 'target') for p in range(112)}, 'All data endpoints') + for (role, p), record in endpoints.items(): + conventional = (('C', c['ports'][p], 1),) if role == 'source' else (('C', c['ports'][p], -1),) + native.fourier(9) + f = c['start'][p] if role == 'source' else c['final'][112 + p] + need(record['frame'] == f and record['rank'] == 0, 'Endpoint frame and rank') + native.equal(native.recipe(record), native.adjoint(conventional) + frames[f], 'Endpoint ' + str((role, p))) + need(set(c['start'][112:224]) == {0} and set(c['final'][:112]) == {1}, 'Other data endpoints') + native.equal(frames[0], (), 'Identity frame') + native.equal(frames[1], native.fourier(9), 'FULL frame') + + warps = {r['op']: r for r in c['warps']} + need(len(warps) == len(c['warps']) == 72, 'Unique logical warps') + need(set(residual['warps']) == set(map(str, warps)), 'Raw warp coverage') + logical = {} + for op, w in warps.items(): + record = residual['warps'][str(op)] + need(all(record[k] == w[k] for k in ('op', 'from_frame', 'to_frame', 'G_columns')), 'Raw warp metadata') + logical[op] = raw_k(w['G_columns'], native) + native.equal(native.monomial(record['K']), logical[op], 'Raw K ' + str(op)) + physical = {(r['sign'], r['op'], r['old'], r['new']): r for r in phase['warps']} + need(len(physical) == len(phase['warps']) == 180 and set(physical) == set(map(tuple, c['warp_edges'])), 'Physical warp coverage') + for (sign, op, a, b), record in physical.items(): + need(sign in (-1, 1) and record['rank'] == 0 and record['G_columns'] == warps[op]['G_columns'], 'Warp metadata') + operator = logical[op] if sign > 0 else native.adjoint(logical[op]) + native.equal(native.recipe(record), native.adjoint(frames[a]) + operator + frames[b], 'Physical K ' + str((sign, op, a, b))) + + dual_list = data['LITERAL-DUAL-WARP-RECIPES.json']['warps'] + dual = {(r['sign'], r['op'], r['old'], r['new']): r for r in dual_list} + need(len(dual) == len(dual_list) == 180 and set(dual) == set(physical), 'Literal dual coverage') + different_dual = 0 + for (sign, op, a, b), record in dual.items(): + need(record['orientation'] == 'backward_literal_dual' and record['rank'] == 0 and record['G_columns'] == warps[op]['G_columns'], 'Literal dual metadata') + operator = raw_k(warps[op]['G_columns'], native, True) + if sign < 0: + operator = native.adjoint(operator) + native.equal(native.recipe(record), native.adjoint(frames[a]) + operator + frames[b], 'Literal dual K ' + str((sign, op, a, b))) + different_dual += record['left'] != physical[sign, op, a, b]['left'] + need(different_dual == 172, 'Literal dual differs from source K in 172 classes') + + wrappers = residual['recipes'] + wrapped = {r for r in range(224, 632) if c['start'][r] != 0 or c['final'][r] != 1} + needed_wrappers = {str(c['start'][r]) + (':' + str(c['final'][r]) if c['final'][r] != 1 else '') for r in wrapped} + need(set(wrappers) == needed_wrappers and len(wrappers) == 56 and len(wrapped) == 195, 'Wrapper class and helper coverage') + for key, record in wrappers.items(): + a, b = record['frame'], record.get('terminal', 1) + va, vb = c['frames'][a], c['frames'][b] + width = len(vb) - len(va) + need(rank(va + vb) == len(vb) and 0 < width <= 9, 'Residual nested frames') + need(record['rank'] == width and record['entrance_rank'] == len(va) and record['vectors'] == va, 'Residual entry metadata') + if b != 1: + need(record['terminal_rank'] == len(vb) and record['terminal_vectors'] == vb, 'Proper residual terminal metadata') + product = native.adjoint(frames[a]) + frames[b] + native.equal(native.recipe(record), product, 'Residual ' + key) + wrapped_product = native.adjoint(native.monomial(record['right'])) + product + native.adjoint(native.monomial(record['left'])) + native.equal(wrapped_product, native.fourier(width), 'Coordinate wrapper ' + key) + + invoices = {} + for orientation, events in clean['providers'][provider]['programs'].items(): + need(clean['providers'][provider]['canonical'] == c, 'Clean word canonical binding') + native_tags = {'climb', 'warp', 'adapter', 'residual_adapter'} + need([e for e in events if e[0] in native_tags] == [e for e in original[orientation] if e[0] in native_tags], 'Every retained native record') + entry = events.index(['phase', 'entry_adapters']) + cleanup = events.index(['phase', 'full_frame_cleanup']) + need(not {f[1] for e in events[:entry] for f in fields(e) if f[0] == 'L'} & wrapped, 'No wrapper helper access before entry wrapper') + post = {r for r in range(224, 632) if c['final'][r] != 1} + need(not {f[1] for e in events[cleanup:] for f in fields(e) if f[0] == 'L'} & post, 'No proper-terminal helper access after its core') + counts = Counter() + adapter_records = [] + wrapper_records = [] + for e in events: + if e[0] == 'climb': + _, _, _, a, b, width = e + need((a, b) in children and children[a, b]['rank'] == width, 'Paid child occurrence binding') + counts['climb'] += 1 + elif e[0] == 'warp': + op, a, b = e[2:] + need((1 if op > 0 else -1, abs(op), a, b) in physical, 'Physical warp occurrence binding') + counts['warp'] += 1 + elif e[0] == 'adapter': + _, direction, r, f = e + need(direction in ('old_to_new', 'new_to_old'), 'Adapter direction') + need(f == (c['start'][r] if direction == 'old_to_new' else c['final'][r]), 'Adapter boundary binding') + if direction == 'old_to_new': + need(r not in wrapped, 'No duplicate helper entry wrapper') + need(r < 112 or f == 0, 'Only source ports need ordinary entry adapters') + else: + need(r not in post, 'No wrong FULL adapter on a proper terminal helper') + need(112 <= r < 224 or f == 1, 'Only target ports need ordinary exit adapters') + adapter_records.append((direction, r)) + counts['adapter'] += 1 + elif e[0] == 'residual_adapter': + _, position, r, a, *tail = e + b = tail[0] if tail else 1 + need(position in ('pre', 'post') and r in wrapped and a == c['start'][r] and b == c['final'][r], 'Residual occurrence binding') + wrapper_records.append((position, r)) + counts['residual_adapter'] += 1 + need(set(adapter_records) == {('old_to_new', r) for r in range(632) if r not in wrapped} | {('new_to_old', r) for r in range(632) if r not in post}, 'All ordinary adapter occurrences') + need(len(adapter_records) == len(set(adapter_records)), 'No repeated ordinary adapter') + need(set(wrapper_records) == {(position, r) for position in ('pre', 'post') for r in wrapped} and len(wrapper_records) == 390, 'All wrapper occurrences') + need(counts == Counter(climb=3507, warp=240, adapter=978, residual_adapter=390), 'Native occurrence inventory') + invoices[orientation] = dict(counts) + + child = native.recipe(next(iter(children.values()))) + corrupt = child + (('phase', 1),) + need(native.tableau(corrupt) == native.tableau(child) and native.state(corrupt) != native.state(child), 'Global phase negative control') + proper = next(r for r in wrappers.values() if r.get('terminal', 1) != 1) + correct = native.adjoint(frames[proper['frame']]) + frames[proper['terminal']] + wrong = native.adjoint(frames[proper['frame']]) + frames[1] + need(native.tableau(correct) != native.tableau(wrong), 'Wrong FULL terminal negative control') + need(any(native.tableau(logical[op]) != native.tableau(raw_k(warps[op]['G_columns'], native, True)) for op in logical), 'Conjugation changes some warp operators') + return {'status': 'PASS_INDEPENDENT_NATIVE_CORE_LIFT', 'pins': PINS[provider], + 'frames': len(frames), 'child_classes': len(children), 'endpoint_classes': len(endpoints), + 'raw_warps': len(warps), 'physical_warp_classes': len(physical), 'residual_classes': len(wrappers), + 'literal_dual_classes': len(dual), 'literal_dual_recipes_different_from_forward': different_dual, + 'wrapped_helpers': len(wrapped), 'native_occurrences': invoices, + 'helper_width_profile': dict(sorted(Counter(len(c['frames'][c['final'][r]]) - len(c['frames'][c['start'][r]]) for r in range(224, 632)).items())), + 'negative_controls': ['wrong global phase with equal Pauli action', 'wrong FULL terminal', 'literal conjugate K can differ from K'], + 'seconds': time.monotonic() - started} + + +def main(args): + need(sha256(INTERPRETER.read_bytes()).hexdigest() == INTERPRETER_PIN, 'Independent interpreter pin') + spec = importlib.util.spec_from_file_location('independent_native_interpreter', INTERPRETER) + native = importlib.util.module_from_spec(spec) + spec.loader.exec_module(native) + clean = pinned(CLEAN, CLEAN_PIN) + result = {'status': 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES', 'interpreter_sha256': INTERPRETER_PIN, + 'clean_payload_sha256': CLEAN_PIN, 'method': 'Independent Pauli conjugation and exact 512-entry Gaussian zero-state vectors; no generator or Clifford compiler import', + 'scope': 'Local phase-aware native lift. The whole scalar map is in the separate logical review. Global hosting, owner, controller, and recursive supplier admission remain separate.', + 'backward_binding': 'Both a consistent K choice and the literal inverse-transpose choice conjugate(K) have exact rank-zero recipes. The literal dual differs in 172 of 180 physical classes per provider.', + 'providers': {name: review(name, native, clean) for name in args.providers}} + result['max_rss_bytes'] = resource.getrusage(resource.RUSAGE_SELF).ru_maxrss + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--providers', nargs='+', choices=['base', 'extra'], default=['base']) + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args()) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_raw.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_raw.py new file mode 100644 index 0000000000..4cfd11154f --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_raw.py @@ -0,0 +1,300 @@ +"""Review raw selected exchanges by reverse ordered-operator propagation.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / 'new-core-transfer-20261017' +A = [0, 7, 20, 27, 36, 46, 57, 111] +U = [p for p in range(112) if p not in A] +PINS = { + 'RAW-SELECTED-TRANSFER.md': '53d8663fab6c1a6999fbc29ac310675fbea2b45f607f2f702af9787305c4ab03', + 'RAW-SELECTED-TRANSFER.json': 'da1831b17a79a4fd9ebe689d4f76e357bc912eda1e6b252818a7ef5685b1a739', + 'RAW-SELECTED-TRANSFER.json.gz': 'bc9fab3bc7c849da7eb055a9d7340bf110c11cdd54da049a8297a1324bfa54b1', + 'emit_raw_selected.py': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', + 'CLEAN-J-PROGRAMS.json.gz': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', +} +ENGINE_PINS = { + 'check_new_core.py': '6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a', + 'check_oblique_backward.py': '7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd', +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def load(name): + raw = (SOURCE / name).read_bytes() + if name.endswith('.gz'): + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == PINS[name], 'Source pin: ' + name) + return json.loads(raw) if '.json' in name else raw + + +def engine(name): + path = HERE / name + need(sha256(path.read_bytes()).hexdigest() == ENGINE_PINS[name], 'Independent engine pin') + spec = importlib.util.spec_from_file_location(name.replace('.', '_'), path) + value = importlib.util.module_from_spec(spec) + spec.loader.exec_module(value) + return value + + +def field(n): + need(isinstance(n, int) and (0 <= n < 224 or 632 <= n < 640), 'Data or owned physical boundary field') + return ('L', n) if n < 224 else ('C', n - 632) + + +def qgate(register, port, power): + need(port in range(112) and power in (-1, 1), 'Q symbol range') + return ['warp', list(register), power * (10000 + port), None, None] + + +def boundary(events): + out = [] + for e in events: + t, kind = field(e['target']), e['kind'] + if kind == 'line': + need(t == ('C', 0) and e['port'] in A, 'Only selected owned line children') + out.append(qgate(t, e['port'], e['power'])) + continue + if kind == 'clear': + need(t[0] == 'C', 'Only owned boundary clears') + op = ['clear', list(t)] + elif kind == 'copy': + need(t == ('C', 0) and e['source'] < 224, 'Serial owned data copy') + op = ['copy', list(t), list(field(e['source']))] + elif kind == 'add': + s, q = field(e['source']), F(e['coefficient']) + need(s != t, 'Distinct physical ADD fields') + op = ['add', list(t), list(s), q.numerator, q.denominator] + else: + need(kind == 'scale', 'Boundary event grammar') + q = F(e['coefficient']) + op = ['scale', list(t), q.numerator, q.denominator] + out.append(['scalar', op, None]) + return out + + +def full_word(program): + native = deepcopy(program['retained_core']) + if program['orientation'] == 'backward': + for e in native: + if e[0] == 'warp': + e[2] = (1000 + abs(e[2])) * (1 if e[2] > 0 else -1) + return ([qgate(('L', p), p, 1) for p in range(112)] + + boundary(program['prefix'] + program['input_exchange']) + + [qgate(('L', p), p, -1) for p in range(112)] + + native + + [qgate(('L', 112 + p), p, -1) for p in range(112)] + + boundary(program['suffix'] + program['owned_cleanup']) + + [qgate(('L', 112 + p), p, 1) for p in range(112)]) + + +def pullback(events, fields, core): + columns = {f: {(f, ()): F(1)} for f in fields} + for event in reversed(events): + tag = event[0] + if tag == 'scalar': + kind, target, source, coefficient = core.scalar(event[1]) + if kind == 'add': + core.plus(columns[source], columns[target], coefficient) + elif kind == 'scale': + columns[target] = {key: coefficient * value for key, value in columns[target].items()} + elif kind == 'copy': + need(target == ('C', 0), 'Only serial C0 is overwritten') + core.plus(columns[source], columns[target]) + columns[target] = {} + else: + need(target[0] == 'C', 'No borrowed clear') + columns[target] = {} + elif tag == 'warp': + target, symbol = tuple(event[1]), event[2] + columns[target] = {(out, word[1:] if word and word[0] == -symbol else (symbol,) + word): value + for (out, word), value in columns[target].items()} + elif tag == 'zero_buffer': + if event[1] == 'alloc': + columns['Z', event[2]] = {} + else: + need(event[1] == 'free', 'Buffer lifetime grammar') + else: + need(tag in ('phase', 'climb', 'adapter', 'residual_adapter'), 'Complete native grammar') + return columns + + +def expected(fields, d, b, name, core): + out = {f: {} if f[0] in ('C', 'Z') else {(f, ()): F(1)} for f in fields} + def put(src, dst, coefficient, q=None): + word = () if q is None else (q,) + core.plus(out['L', src], {(('L', dst), word): F(coefficient)}) + if name.startswith('B'): + for a in A: + out['L', a] = {} + out['L', 112 + a] = {} + put(112 + a, a, 1 if name == 'B0' else -12, -(10000 + a)) + for p, coefficient in b[a].items(): + put(112 + p, a, coefficient) + put(a, 112 + a, 1, 10000 + a) + for p in U: + put(112 + p, p, -1) + for a, coefficient in d[p].items(): + if name != 'B16': + put(a, p, coefficient, 10000 + a) + if name == 'B0': + put(112 + a, p, -coefficient, -(10000 + a)) + else: + put(112 + a, 112 + p, -coefficient, -(10000 + a)) + else: + for a in A: + for p, coefficient in b[a].items(): + put(p, a, -coefficient, -(10000 + a)) + for p in U: + put(p, 112 + p, 1) + for a, coefficient in d[p].items(): + for j, factor in b[a].items(): + put(j, 112 + p, -coefficient * factor) + if name == 'F0': + put(112 + a, 112 + p, -coefficient, -(10000 + a)) + return out + + +def boundary_bill(events, core): + zero = set() + scalar, lines = 0, 0 + for e in events: + t, kind = field(e['target']), e['kind'] + if kind == 'clear': + need(t[0] == 'C', 'Owned clear access') + zero.add(t) + elif kind == 'copy': + need(t == ('C', 0) and t in zero, 'Copy starts in a cleared private field') + zero.discard(t) + elif kind == 'line': + need(t == ('C', 0) and e['port'] in A and e['power'] in (-1, 1), 'Signed line access') + lines += 1 + continue + else: + zero.discard(t) + scalar += core.price(boundary([e])[0][1]) + return scalar, lines + + +def inverse_checks(d, b, core): + fs = [('L', p) for p in range(224)] + identity = {f: {(f, ()): F(1)} for f in fs} + def put(matrix, source, target, value, q=None): + core.plus(matrix['L', source], {(('L', target), () if q is None else (q,)): F(value)}) + def compose(left, right): + out = {f: {} for f in fs} + for source, column in right.items(): + for (middle, first), a in column.items(): + for (target, second), b_ in left[middle].items(): + reduced = [] + for symbol in first + second: + if reduced and reduced[-1] == -symbol: + reduced.pop() + else: + reduced.append(symbol) + core.plus(out[source], {(target, tuple(reduced)): a * b_}) + return out + back = {f: {} for f in fs} + for a in A: + put(back, a, 112 + a, 1, 10000 + a) + put(back, 112 + a, a, 1, -(10000 + a)) + for p, value in b[a].items(): + put(back, 112 + p, 112 + a, -value, 10000 + a) + for p in U: + put(back, p, p, 1) + put(back, 112 + p, 112 + p, 1) + put(back, 112 + p, p, 1) + for a, value in d[p].items(): + put(back, a, p, value) + put(back, 112 + a, p, -value) + for j, factor in b[a].items(): + put(back, 112 + j, p, -value * factor) + front = deepcopy(identity) + for a in A: + for p, value in b[a].items(): + put(front, p, a, value, -(10000 + a)) + for p in U: + put(front, p, 112 + p, -1) + for a, value in d[p].items(): + for j, factor in b[a].items(): + put(front, j, 112 + p, value * factor) + for name, inverse in (('B0', back), ('F8', front)): + forward = expected(fs, d, b, name, core) + need(compose(inverse, forward) == identity, name + ' inverse after forward') + need(compose(forward, inverse) == identity, name + ' forward after inverse') + return {'B0': 'both orders in the free Q algebra', 'F8': 'both orders in the free Q algebra'} + + +def main(out): + for name in PINS: + load(name) + data, clean = load('RAW-SELECTED-TRANSFER.json.gz'), load('CLEAN-J-PROGRAMS.json.gz') + core, old = engine('check_new_core.py'), engine('check_oblique_backward.py') + need(data['selected_A'] == A and set(data['providers']) == {'base', 'extra'}, 'Selected ports and providers') + r = old.deserialize(clean['R']) + d = {p: {a: sum(row.get(p, 0) * row.get(a, 0) for row in r) / 4 for a in A} for p in U} + d = {p: {a: value for a, value in row.items() if value} for p, row in d.items()} + b = {a: {p: d[p][a] for p in U if a in d[p]} for a in A} + need(all(sum(b[a].get(p, 0) * d[p].get(z, 0) for p in U) == (13 if a == z else 0) for a in A for z in A), 'Literal BD equals 13I') + report = {'status': 'PASS_INDEPENDENT_NEW_RAW_SELECTED_TRANSFER', 'source_pins': PINS, 'independent_engine_pins': ENGINE_PINS, 'providers': {}} + report['two_sided_inverse_checks'] = inverse_checks(d, b, core) + costs = {'B0': (168896, 0), 'B8': (173104, 8), 'B16': (177312, 16), 'F0': (164944, 0), 'F8': (169152, 8)} + for provider, item in data['providers'].items(): + c = item['canonical'] + need(c == clean['providers'][provider]['canonical'] and set(item['programs']) == set(costs), 'Exact provider and five maps') + fs = [('L', i) for i in range(632)] + [('C', i) for i in range(8)] + [('Z', z) for z in c['zero_buffers']] + line_columns = old.native_lines(data['line_recipes'], c) + reports = {} + for name, program in item['programs'].items(): + direction = 'backward' if name.startswith('B') else 'forward' + need(program['orientation'] == direction and program['retained_core'] == clean['providers'][provider]['programs'][direction], 'Exact retained core and orientation') + need(program['events'] == program['prefix'] + program['input_exchange'] + program['retained_core'] + program['suffix'] + program['owned_cleanup'], 'Whole word composition') + need(program['owned_cleanup'] == [{'kind': 'clear', 'target': 632 + p} for p in range(1, 8)], 'Seven explicit final private clears') + actual = pullback(full_word(program), fs, core) + goal = expected(fs, d, b, name, core) + need(actual == goal, 'Whole ordered-operator map: ' + name) + invoice = core.types_and_cost(program['retained_core'], c) + extra_scalar, lines = boundary_bill(program['prefix'] + program['input_exchange'] + program['suffix'] + program['owned_cleanup'], core) + need((invoice['scalar_cost'] + extra_scalar, lines) == costs[name], 'Independent complete invoice') + reports[name] = {'scalar': invoice['scalar_cost'] + extra_scalar, 'native_rank_mass': invoice['native_mass'] + lines, + 'native_children': 3507 + lines, 'new_rank_one_children': lines, 'new_monomial_wrappers': 2 * lines, + 'boundary_scalar_cost': extra_scalar, 'owned_cleanup_scalar_cost': 14, + 'arbitrary_input_columns': 640, 'arbitrary_helpers_restored': 408, 'private_outputs_zero': 8, + 'zero_buffer_outputs_zero': 91, 'exact_signed_line_columns': line_columns, + 'core_frame_checks': invoice['scalar_events'], 'core_warp_events': invoice['native_records']['warp']} + print(provider, name, 'PASS', reports[name]['scalar'], reports[name]['native_rank_mass'], flush=True) + controls = {} + variants = [('B8', 'prefix', 'line'), ('B0', 'input_exchange', 'omit'), ('B0', 'suffix', 'omit'), ('F8', 'suffix', 'omit'), ('F8', 'prefix', 'omit')] + for name, part, kind in variants: + bad = deepcopy(item['programs'][name]) + if kind == 'line': + next(e for e in bad[part] if e['kind'] == 'line')['power'] = 1 + else: + bad[part] = [] + label = name + ':' + part + ':' + kind + controls[label] = pullback(full_word(bad), fs, core) != expected(fs, d, b, name, core) + need(all(controls.values()), 'Five physical boundary controls') + report['providers'][provider] = {'programs': reports, 'negative_controls': controls} + report['method'] = 'Reverse propagation through every literal event, with disjoint signed Q, K, and dual-K symbols; only adjacent inverse symbols cancel. Physical boundaries are conjugated by explicit endpoint Q operators.' + report['scope'] = 'Local operator-coded maps and complete local costs, with exact core native and signed-line dependencies. Inter-call code conversion, exterior caller phases, controller, legal owner/hosting, precision, and full supplier remain separate.' + out.write_text(json.dumps(report, indent=2, sort_keys=True) + '\n') + print(report['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_signed.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_signed.py new file mode 100644 index 0000000000..c0246ad5e7 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_new_signed.py @@ -0,0 +1,275 @@ +"""Review the signed extensions by reverse free-operator propagation.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / 'new-core-transfer-20261017' +A = [0, 7, 20, 27, 36, 46, 57, 111] +PINS = { + 'SIGNED-EXTENSIONS.md': '5c9dc4091a8c1c70e4a7090f9435f94740e6355f0ae0d8f861f38d1e35ebd635', + 'SIGNED-EXTENSIONS.json': '0b5a7ca0e1e2657d182db466c07042293ed6c504f9b01bbcac2bf6f15ca06a3a', + 'SIGNED-EXTENSIONS.json.gz': '76a318f7c066c65fc43bc5bd4e93faf60036245dac9a9f596f7f95739b2ab272', + 'emit_signed_extensions.py': '8a33029ce23ace9c626de7d90e44aa0318cd97025a9a928fc3a22d848326f6c5', + 'CLEAN-J-PROGRAMS.json.gz': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', +} +ENGINE_PINS = { + 'check_new_core.py': '6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a', + 'check_oblique_backward.py': '7d9e52f9f120be04adeb9cdc3e26658373b221c35920e89160fdc0f16e7bdacd', +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def load(name): + raw = (SOURCE / name).read_bytes() + if name.endswith('.gz'): + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == PINS[name], 'Source pin: ' + name) + return json.loads(raw) if '.json' in name else raw + + +def engine(name): + path = HERE / name + need(sha256(path.read_bytes()).hexdigest() == ENGINE_PINS[name], 'Independent engine pin') + spec = importlib.util.spec_from_file_location(name.replace('.', '_'), path) + value = importlib.util.module_from_spec(spec) + spec.loader.exec_module(value) + return value + + +def field(number): + need(isinstance(number, int) and 0 <= number < 640, 'Boundary field bound') + return ('L', number) if number < 632 else ('C', number - 632) + + +def normalized(events): + out = [] + for e in events: + if not isinstance(e, dict): + out.append(e) + continue + kind, target = e['kind'], field(e['target']) + if kind == 'intrinsic_line': + continue + if kind == 'clear_owned': + need(target == ('C', 0), 'Only C0 is cleared') + op = ['clear', list(target)] + elif kind == 'physical_copy': + op = ['copy', list(target), list(field(e['source']))] + else: + need(kind == 'physical_add', 'Boundary scalar grammar') + q = F(e['coefficient']) + op = ['add', list(target), list(field(e['source'])), q.numerator, q.denominator] + out.append(['scalar', op, None]) + return out + + +def expected(fields, s, a, name, core): + result = {f: {} if f[0] == 'Z' or f == ('C', 0) else {(f, ()): F(1)} for f in fields} + def put(source, target, value): + core.plus(result[source], {(target, ()): F(value)}) + if name.endswith('forward'): + for i in range(112): + if name.startswith('coded'): + result['L', 112 + i] = {} + for j, value in s[i].items(): + put(('L', j), ('L', 112 + i), value) + if name.startswith('coded'): + for i in range(112): + for j, value in s[i].items(): + put(('L', 112 + j), ('L', 112 + i), value) + elif name == 'backward': + for i in range(112): + for j, value in s[i].items(): + put(('L', 112 + j), ('L', i), -value) + else: + for j in range(112): + result['L', j] = {} + for i in range(112): + for j, value in a[i].items(): + put(('L', j), ('L', i), value) + put(('L', 112 + i), ('L', i), -1) + if name == 'oblique_backward': + for p in A: + put(('L', p), ('L', p), 1) + put(('L', p), ('L', 112 + p), -1) + return result + + +def frame_bill(events, c, core): + frames = {('L', i): f for i, f in enumerate(c['start'])} + frames.update({('C', i): None for i in range(8)}) + zero = set() + allocated, active, freed = set(), set(), set() + profile, boundary = Counter(), Counter() + scalar, checks = 0, 0 + for e in events: + if isinstance(e, dict): + kind, target = e['kind'], field(e['target']) + endpoint = e['endpoint'] + need(endpoint in ('input', 'output'), 'Boundary endpoint') + common = 0 if endpoint == 'input' else 1 + boundary[kind] += 1 + if kind == 'clear_owned': + need(target == ('C', 0), 'Owned boundary clear') + z = e['zero_frame'] + if z == 'I': + frames[target] = 0 + else: + need(z[0] == 'selected_source' and z[1] in A, 'Selected zero frame') + frames[target] = c['start'][z[1]] if endpoint == 'input' else c['final'][112 + z[1]] + zero.add(target) + scalar += 2 + elif kind == 'physical_copy': + source = field(e['source']) + need(target == ('C', 0) and target in zero and frames[target] == frames[source], 'Clean boundary copy') + need(source == ('L', e['source']) and (source[1] in A if endpoint == 'input' else source[1] - 112 in A), 'Selected boundary source') + zero.discard(target) + scalar += 2 + elif kind == 'intrinsic_line': + p = e['port'] + need(p in A and target == ('C', 0), 'Selected owned line') + old = c['start'][p] if endpoint == 'input' else c['final'][112 + p] + need(frames[target] == old and e['power'] == (-1 if endpoint == 'input' else 1), 'Line sign and entry frame') + frames[target] = common + profile[1] += 1 + else: + need(kind == 'physical_add' and field(e['source']) == ('C', 0), 'Boundary ADD source') + need(frames[target] == frames['C', 0] == common and abs(F(e['coefficient'])) == 1, 'Boundary ADD frame and unit') + zero.discard(target) + scalar += 8 + checks += 1 + continue + tag = e[0] + if tag == 'scalar': + kind, target, source, _ = core.scalar(e[1]) + need(all(f[0] != 'C' or f[1] == 0 for f in (target, source) if f is not None), 'Untouched C1 through C7') + if kind == 'clear': + need(target == ('C', 0), 'Owned scalar clear') + frames[target] = e[2] + zero.add(target) + else: + need(frames[target] == e[2] and (source is None or frames[source] == e[2]), 'Complete scalar frame access') + if kind == 'copy': + need(target == ('C', 0), 'Owned scalar copy') + zero.discard(target) + scalar += core.price(e[1]) + checks += 1 + elif tag == 'climb': + _, _, r, old, new, width = e + need(frames['L', r] == old and len(c['frames'][new]) - len(c['frames'][old]) == width, 'Child frame and rank') + frames['L', r] = new + profile[width] += 1 + elif tag == 'warp': + f = tuple(e[1]) + need(frames[f] == e[3], 'Warp source frame') + frames[f] = e[4] + elif tag == 'zero_buffer': + f = ('Z', e[2]) + if e[1] == 'alloc': + need(f not in allocated, 'Single zero-buffer allocation') + allocated.add(f) + active.add(f) + frames[f] = 1 + else: + need(e[1] == 'free' and f in active, 'Zero-buffer release') + active.remove(f) + freed.add(f) + del frames[f] + else: + need(tag in ('phase', 'adapter', 'residual_adapter'), 'Event grammar') + need(not active and allocated == freed == {('Z', z) for z in c['zero_buffers']}, 'All 91 buffer lifetimes') + need([frames['L', r] for r in range(632)] == c['final'], 'All live endpoint frames') + need(frames['C', 0] == 0 and all(frames['C', p] is None for p in range(1, 8)), 'C0 zero frame and untouched other C') + need(boundary['intrinsic_line'] in (8, 16) and boundary == Counter(clear_owned=2 * boundary['intrinsic_line'], physical_copy=boundary['intrinsic_line'], physical_add=boundary['intrinsic_line'], intrinsic_line=boundary['intrinsic_line']), 'Complete signed boundary blocks') + return {'scalar': scalar, 'rank_mass': sum(k * v for k, v in profile.items()), 'children': sum(profile.values()), + 'profile': dict(sorted(profile.items())), 'new_line_children': boundary['intrinsic_line'], 'scalar_and_boundary_frame_checks': checks} + + +def main(out): + for name in PINS: + load(name) + signed = load('SIGNED-EXTENSIONS.json.gz') + clean = load('CLEAN-J-PROGRAMS.json.gz') + need(set(signed['providers']) == {'base', 'extra'}, 'Both provider words') + core, old = engine('check_new_core.py'), engine('check_oblique_backward.py') + r = old.deserialize(clean['R']) + eye = [{i: F(1)} for i in range(112)] + k = [{j: row[i] / 4 for j, row in enumerate(r) if i in row} for i in range(112)] + kr = old.multiply(k, r) + s, a = deepcopy(eye), deepcopy(eye) + for i in range(112): + old.plus(s[i], kr[i], -1) + if i in A: + old.plus(s[i], {i: F(1)}, -1) + a[i] = {i: F(12)} + for j, value in kr[i].items(): + if (i in A) != (j in A): + a[i][j] = -value + p = [dict(row) if i in A else {} for i, row in enumerate(kr)] + need(old.multiply(r, k) == [{j: F(14)} for j in range(8)], 'Actual query Gram matrix') + need(old.multiply(r, [row if i in A else {} for i, row in enumerate(k)]) == [{j: F(1)} for j in range(8)], 'Selected unit section') + need(old.multiply(s, a) == old.multiply(a, s) == eye, 'Both dyadic inverse orders') + need(old.multiply(p, p) == p and old.multiply(p, a) == [{i: F(-1)} if i in A else {} for i in range(112)], 'Oblique projection and return identity') + need(signed['selected_A'] == A and old.deserialize(signed['S']) == s and old.deserialize(signed['inverse_S']) == a, 'Derived matrix metadata') + report = {'status': 'PASS_INDEPENDENT_NEW_SIGNED_EXTENSIONS', 'source_pins': PINS, 'independent_engine_pins': ENGINE_PINS, 'providers': {}} + for provider, item in signed['providers'].items(): + need(set(item['programs']) == {'forward', 'backward', 'coded_forward', 'coded_backward', 'oblique_backward'}, 'All five local maps') + c = item['canonical'] + need(c == clean['providers'][provider]['canonical'], 'Exact new core frame metadata') + fs = [('L', i) for i in range(632)] + [('C', i) for i in range(8)] + [('Z', z) for z in c['zero_buffers']] + lines = old.native_lines(signed['line_recipes'], c) + reports = {} + for name, program in item['programs'].items(): + orientation = 'forward' if name.endswith('forward') else 'backward' + need(program['orientation'] == orientation and program['core'] == clean['providers'][provider]['programs'][orientation], 'Complete retained clean core') + need(program['events'] == program['prefix'] + program['core'] + program['suffix'], 'Whole literal composition') + actual = core.pullback(normalized(program['events']), fs) + need(actual == expected(fs, s, a, name, core), 'Every arbitrary live/private input and zero-buffer output') + bill = frame_bill(program['events'], c, core) + need(bill['scalar'] == (172050 if name == 'oblique_backward' else 171938 if name.startswith('coded') else 164626), 'Full scalar invoice') + need(bill['rank_mass'] == (5089 if name == 'oblique_backward' else 5081), 'Full native invoice') + bill.update(arbitrary_input_columns=640, arbitrary_helpers_restored=408, zero_buffer_outputs_zero=91, + exact_signed_line_columns=lines, core_native_records_inherited=True) + reports[name] = bill + print(provider, name, 'PASS', bill['scalar'], bill['rank_mass'], flush=True) + chosen = item['programs']['oblique_backward'] + tail = core.pullback(normalized(chosen['core'] + chosen['suffix']), fs) + prefix = normalized(chosen['prefix']) + correct = core.pullback(prefix, fs, tail) + need(tail != correct, 'Omitted oblique prefix control') + wrong = deepcopy(prefix) + gate = next(e for e in wrong if e[0] == 'scalar' and e[1][0] == 'add') + gate[1][-2] *= -1 + need(core.pullback(wrong, fs, tail) != correct, 'Wrong prefix sign control') + bad = deepcopy(chosen['prefix']) + next(e for e in bad if isinstance(e, dict) and e['kind'] == 'clear_owned')['target'] = 224 + try: + normalized(bad) + except ValueError: + pass + else: + raise ValueError('Borrowed helper clear control') + report['providers'][provider] = reports + report['negative_controls'] = ['omitted oblique input return', 'wrong return sign', 'borrowed helper clear', 'wrong signed-line kernel sign on every spatial column'] + report['scope'] = 'Ten local maps, complete scalar/frame accounting, and exact signed-line kernels. Core phase recipes have a separate independent review. Exterior caller phase matching, global controller, owner, hosting, and complete recursive supplier remain separate.' + out.write_text(json.dumps(report, indent=2, sort_keys=True) + '\n') + print(report['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_oblique_backward.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_oblique_backward.py new file mode 100644 index 0000000000..8527b1331d --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/independent-review-20261017/check_oblique_backward.py @@ -0,0 +1,344 @@ +"""Check the oblique word with an independent transpose replay.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import tarfile + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = HERE.parents[3] +A = [0, 7, 20, 27, 36, 46, 57, 111] +PINS = { + 'payload': '8ade3776246743642fda048d71e42724dd768e99e621afa3cb7452048a244545', + 'proof': 'eac6dfa562a114f5c94dc019f4b23eb88c682f2f5261b7d7fd889da7974cbbc3', + 'producer': 'c5d1e2b0cba8de2d719a773d29cc678bd9e0a2b7c1203e4bea571567f694f9f0', + 'producer_receipt': 'c036721c9505238b5f72531b7dcbe5a3b8dbc064213756ad816448e983bd7942', + 'uniform': '17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f', + 'uniform_review': 'b1ce8571804b848f0d8427c971d44d9e43a43f7f8e627c2eef0ebd3fc6a21d2f', + 'core': 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877', + 'interface': '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3', + 'word': '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219', + 'archive': 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6', + 'phases': 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa', +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def pinned(path, name, zipped=False): + raw = path.read_bytes() + if zipped: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == PINS[name], name + ' source pin') + return raw + + +def plus(target, source, scale=F(1)): + for j, value in source.items(): + value = target.get(j, F(0)) + scale * value + if value: + target[j] = value + else: + target.pop(j, None) + + +def multiply(left, right): + out = [] + for row in left: + result = {} + for j, value in row.items(): + plus(result, right[j], value) + out.append(result) + return out + + +def deserialize(rows): + return [{int(j): F(value) for j, value in row.items()} for row in rows] + + +def transpose(rows, n): + columns = [{} for _ in range(n)] + for i, row in enumerate(rows): + for j, value in row.items(): + columns[j][i] = value + return columns + + +def register(ref): + need(ref[0] in ('L', 'C'), 'Register namespace') + value = ref[1] + (704 if ref[0] == 'C' else 0) + need(0 <= value < 712, 'Register bound') + return value + + +def scalar_gate(event): + if isinstance(event, dict): + kind = event['kind'] + if kind == 'intrinsic_line': + return None + names = {'clear_owned': 'clear', 'physical_copy': 'copy', 'physical_add': 'add'} + need(kind in names, 'Physical scalar grammar') + return names[kind], event['target'], event.get('source'), F(event.get('coefficient', 1)) + if event[0] != 'scalar': + need(event[0] in ('climb', 'phase', 'adapter', 'residual_adapter'), 'Retained event grammar') + return None + gate = event[1] + kind, target = gate[0], register(gate[1]) + source = register(gate[2]) if kind in ('copy', 'add') else None + value = F(*gate[-2:]) if kind in ('add', 'scale') else F(1) + need(kind in ('clear', 'copy', 'add', 'scale'), 'Retained scalar grammar') + need(source is None or target != source, 'Distinct scalar operands') + return kind, target, source, value + + +def pullback(events, columns=None): + """Propagate output coefficients backward through the word.""" + columns = deepcopy(columns) if columns is not None else [{j: F(1)} for j in range(712)] + for event in reversed(events): + gate = scalar_gate(event) + if gate is None: + continue + kind, target, source, value = gate + if kind == 'add': + plus(columns[source], columns[target], value) + elif kind == 'scale': + columns[target] = {j: value * x for j, x in columns[target].items()} + elif kind == 'copy': + need(target >= 704, 'Only owned fields can be overwritten') + plus(columns[source], columns[target]) + columns[target] = {} + else: + need(target >= 704, 'Only owned fields can be cleared') + columns[target] = {} + return columns + + +def frame_and_cost_check(events, word): + frames = word['start'][:] + [None] * 8 + zero = [False] * 712 + scalar_cost, scalar_checks = 0, 0 + profile, kinds = Counter(), Counter() + for event in events: + if isinstance(event, dict): + kind, target = event['kind'], event['target'] + kinds[kind] += 1 + endpoint = event['endpoint'] + need(endpoint in ('input', 'output'), 'Physical endpoint') + if kind != 'physical_add': + need(target == 704, 'Only serial C0 is used') + chart = 0 if endpoint == 'input' else 1 + if kind == 'clear_owned': + need(target == 704, 'Only C0 is cleared in the new blocks') + frame = event['zero_frame'] + if frame == 'I': + frames[target] = 0 + else: + need(frame[0] == 'selected_source' and frame[1] in A, 'Selected zero chart') + frames[target] = word['start'][frame[1]] if endpoint == 'input' else word['final'][112 + frame[1]] + zero[target] = True + scalar_cost += 2 + elif kind == 'physical_copy': + source = event['source'] + need(target == 704 and zero[target] and frames[target] == frames[source], 'Zero physical copy target') + need(source in A if endpoint == 'input' else source - 112 in A, 'Selected copy source') + zero[target] = zero[source] + scalar_cost += 2 + elif kind == 'intrinsic_line': + port = event['port'] + old = word['start'][port] if endpoint == 'input' else word['final'][112 + port] + need(port in A and target == 704 and frames[target] == old, 'Line entry frame') + need(event['power'] == (-1 if endpoint == 'input' else 1), 'Line direction') + frames[target] = chart + profile[1] += 1 + else: + need(kind == 'physical_add' and event['source'] == 704, 'Physical ADD source') + need(frames[target] == frames[704] == chart, 'Physical ADD chart') + need(abs(F(event['coefficient'])) == 1, 'Unit boundary ADD') + zero[target] = zero[target] and zero[704] + scalar_cost += 8 + continue + if event[0] == 'climb': + _, _, target, old, new, rank = event + need(frames[target] == old, 'Retained native entry frame') + frames[target] = new + profile[rank] += 1 + elif event[0] == 'scalar': + kind, target, source, value = scalar_gate(event) + scalar_checks += 1 + if kind == 'clear': + need(target >= 704, 'Owned CLEAR') + frames[target], zero[target] = event[2], True + else: + need(frames[target] == event[2] and (source is None or frames[source] == event[2]), 'Scalar frame equality') + if kind == 'copy': + need(target >= 704, 'Owned COPY') + zero[target] = zero[source] + elif kind == 'add': + zero[target] = zero[target] and zero[source] + if kind in ('copy', 'clear'): + scalar_cost += 2 + else: + numerator, denominator = abs(value.numerator), value.denominator + need(numerator > 0 and denominator & (denominator - 1) == 0, 'Dyadic scalar') + if kind == 'scale': + need(numerator & (numerator - 1) == 0, 'Unit scale') + scalar_cost += 2 * (abs(numerator.bit_length() - denominator.bit_length()) + int(value < 0)) + else: + scalar_cost += 2 * (1 + numerator.bit_length() + numerator.bit_count() + denominator.bit_length()) + need(frames == word['final'] + [0] * 8, 'Complete endpoint frames') + need(kinds == Counter(clear_owned=32, physical_copy=16, physical_add=16, intrinsic_line=16), 'Complete serial boundary blocks') + need(scalar_cost == 209674 and sum(k * v for k, v in profile.items()) == 5538, 'Full local invoice') + return scalar_cost, scalar_checks, dict(sorted(profile.items())) + + +def action(rows, value): + return sum(((row & value).bit_count() % 2) << i for i, row in enumerate(rows)) + + +def native_lines(recipes, word): + seen, count = set(), 0 + for item in recipes: + port, inv = item['port'], item['inverse'] + need((port, inv) not in seen and port in A, 'Unique line recipe') + seen.add((port, inv)) + recipe = item['recipe'] + label = word['ports'][port] + need(recipe['rank'] == 1 and item['label'] == label, 'Actual line direction') + left, right = recipe['left'], recipe['right'] + for view in (left, right): + need(view['phase'] == 0 and not any(view['linear_Z4']) and not any(view['quadratic_rows']), 'Exact monomial phases') + for source in range(512): + middle = action(right['matrix_rows'], source) ^ right['offset'] + actual = {action(left['matrix_rows'], middle) ^ left['offset']: (1, 1), + action(left['matrix_rows'], middle ^ 1) ^ left['offset']: (1, -1)} + expected = {source: (1, -1) if inv else (1, 1), source ^ label: (1, 1) if inv else (1, -1)} + need(actual == expected, 'Exact Gaussian line column with denominator two') + need(actual != {source: expected[source ^ label], source ^ label: expected[source]}, 'Wrong line sign control') + count += 1 + need(seen == {(p, inv) for p in A for inv in (False, True)}, 'Both signs for every selected port') + return count + + +def main(out): + directory = LANES / 'oblique-native-20261017' + for name, key in (('OBLIQUE-BACKWARD.md', 'proof'), ('emit_oblique_backward.py', 'producer'), ('OBLIQUE-BACKWARD.json', 'producer_receipt')): + pinned(directory / name, key) + data = json.loads(pinned(directory / 'OBLIQUE-BACKWARD-PROGRAM.json.gz', 'payload', True)) + source = json.loads(pinned(LANES / 'paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIFORM-SIGNED-PROGRAMS.json.gz', 'uniform', True)) + pinned(LANES / 'coherent-port/current-query-review-20261015/UNIFORM-REVIEW.json', 'uniform_review') + core = json.loads(pinned(LANES / 'circuit-interface/CENTRE-FREE-PROGRAMS.json.gz', 'core', True))['backward'] + word = json.loads(gzip.decompress(pinned(ROOT / 'work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz', 'word'))) + interface = json.loads(pinned(LANES / 'circuit-interface/INTERFACE.json', 'interface')) + archive_path = ROOT / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + pinned(archive_path, 'archive') + with tarfile.open(archive_path) as archive: + raw = archive.extractfile('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json').read() + need(sha256(raw).hexdigest() == PINS['phases'], 'Phase source pin') + phases = json.loads(raw) + prefix = source['programs']['forward']['prefix'] + coded = source['programs']['coded_backward'] + program = data['program'] + need(program['input_return'] == prefix and len(prefix) == 40, 'Exact source input correction') + need(program['retained_coded_backward'] == coded and coded['retained_core'] == core, 'Exact complete accepted tail') + need(program['events'] == prefix + coded['events'], 'Whole word composition') + need(program['events'][program['core_first']:program['core_first'] + program['core_length']] == core, 'Core span') + + r = deserialize(interface['R']) + eye = [{j: F(1)} for j in range(112)] + k = [{j: row[p] / 4 for j, row in enumerate(r) if p in row} for p in range(112)] + kr = multiply(k, r) + s = deepcopy(eye) + a = deepcopy(eye) + p = [dict(row) if i in A else {} for i, row in enumerate(kr)] + for i in range(112): + plus(s[i], kr[i], -1) + if i in A: + plus(s[i], {i: F(1)}, -1) + a[i] = {i: F(12)} + for j, value in kr[i].items(): + if (i in A) != (j in A): + a[i][j] = -value + pi = [{i: F(1)} if i in A else {} for i in range(112)] + need(multiply(s, a) == multiply(a, s) == eye, 'Both source-derived inverse products') + need(multiply(p, p) == p and multiply(p, a) == [{j: -v for j, v in row.items()} for row in pi], 'Oblique projection and source return') + need(deserialize(data['R']) == r and deserialize(data['P']) == p and deserialize(data['S']) == s and deserialize(data['inverse_S']) == a, 'Independent matrix metadata') + need(data['selected_A'] == A and deserialize(data['Pi']) == pi, 'Selected metadata') + need(deserialize(data['K_A']) == [dict(row) if i in A else {} for i, row in enumerate(k)], 'Selected section metadata') + expected = [{i: F(1)} for i in range(712)] + for i in range(112): + expected[i] = dict(a[i]) + plus(expected[i], pi[i]) + expected[i][112 + i] = F(-1) + plus(expected[112 + i], pi[i], -1) + expected[704:] = [{} for _ in range(8)] + tail_columns = pullback(coded['events']) + actual = pullback(prefix, tail_columns) + need(actual == transpose(expected, 712), 'All 712 columns by reverse transpose propagation') + need(all(actual[i] == {i: F(1)} for i in range(224, 704)), 'Every arbitrary helper restored') + need(all(not actual[i] for i in range(704, 712)), 'No arbitrary private input leakage') + need(tail_columns != actual, 'Omitted-return control') + wrong = deepcopy(prefix) + for event in wrong: + if event['kind'] == 'physical_add': + event['coefficient'] = '1' + need(pullback(wrong, tail_columns) != actual, 'Reversed-return control') + bad = deepcopy(prefix) + bad[0]['target'] = 224 + try: + pullback(bad, tail_columns) + except ValueError: + pass + else: + raise ValueError('Borrowed CLEAR control') + cost, scalar_checks, profile = frame_and_cost_check(program['events'], word) + columns = native_lines(data['line_recipes'], word) + phase_cases = 0 + for port in A: + recipe = phases['recipes'][port] + q = recipe['q'] + axes = recipe['idle_children'][0]['orthogonal_axes'][:8] + need(q == word['ports'][port] and q.bit_count() % 2 == 1, 'Actual odd line label') + need(all((q & v).bit_count() % 2 == 0 for v in axes), 'Native route axes fix q') + for stage, view in enumerate(recipe['stage_alignment']): + moved = q + if stage: + for j, old in enumerate(axes): + v = old ^ (1 << (8 * stage + j + 1)) + if (moved & v).bit_count() % 2: + moved ^= v + need(moved == q, 'Actual route fixes the input and output line') + need(view['entry_X'] == view['entry_Y'] and view['exit_X'] == view['exit_Y'], 'Paired exact exterior views') + # C_q and its inverse cancel exactly. All native C directions + # and exterior translations are polynomials in commuting X shifts. + phase_cases += 2 + need(phase_cases == 144, 'All nine stages and both ends') + result = dict(status='PASS_INDEPENDENT_OBLIQUE_BACKWARD', source_pins=PINS, + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + independent_method='reverse transpose propagation; no producer or prior interpreter import', + formal_input_columns=712, restored_helpers=480, private_zero_outputs=8, + scalar_cost=cost, scalar_frame_checks=scalar_checks, native_profile=profile, + native_mass=sum(k * v for k, v in profile.items()), native_children=sum(profile.values()), + exact_Gaussian_line_columns=columns, actual_exterior_cases=phase_cases, + controls=['omitted input return', 'reversed input return', 'borrowed helper CLEAR', 'all sixteen reversed line signs'], + retained_native_proof='inherited byte-identical accepted uniform word', + global_controller_or_recursive_invoice=False) + need(not out.exists(), 'Use a new receipt path') + out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(json.dumps({k: result[k] for k in ('scalar_cost', 'native_mass', 'native_children', 'exact_Gaussian_line_columns', 'actual_exterior_cases')}, sort_keys=True)) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/interface-proof/verify_native_lift.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/interface-proof/verify_native_lift.py new file mode 100644 index 0000000000..fb72255b9c --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/interface-proof/verify_native_lift.py @@ -0,0 +1,336 @@ +"""Check the exact native lift and the finite local bill. + +The checker does not import the emitter or the Clifford compiler. It uses +Pauli conjugation and a separate exact state interpreter. The scalar map is +owned by the independent transpose replay in the adjacent review lane. +""" +from collections import Counter +from fractions import Fraction +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json +import resource +import subprocess +import tarfile +import time + +BASE = 'bce54fb3f895cbe5cd4c0eb477c3afeed100190f' +ARCHIVE = 'research/community-frontier1042-audit/selected-replay.tar.gz' +ARCHIVE_HASH = '22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754' +PINS = { + 'CANONICAL-WORD.json.gz': '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219', + 'LOCAL-PROGRAMS.json.gz': '241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a', + 'CLIFFORD-RECIPES.json': 'd0768f2164d5f64a2fdbec422f1cfde4e400818792f1904ca541958377243731', + 'RESIDUAL-ADAPTERS.json': '383f40aadd00a4ac700dfd0d4c22d6c6c0be9a9863116e4d69c7acd23bafae0c', +} + + +def require(condition, label): + if not condition: + raise ValueError(label) + + +def load(repo): + args = ['git', 'show', BASE + ':' + ARCHIVE] + proc = subprocess.Popen(args, cwd=repo, stdout=subprocess.PIPE) + digest = sha256() + while chunk := proc.stdout.read(65536): + digest.update(chunk) + require(proc.wait() == 0 and digest.hexdigest() == ARCHIVE_HASH, 'archive pin') + proc = subprocess.Popen(args, cwd=repo, stdout=subprocess.PIPE) + values = {} + with tarfile.open(fileobj=proc.stdout, mode='r|gz') as archive: + for entry in archive: + name = entry.name.removeprefix('slots/local/') + if entry.name.startswith('slots/local/') and name in PINS: + raw = archive.extractfile(entry).read() + require(sha256(raw).hexdigest() == PINS[name], name + ' pin') + values[name] = json.loads(gzip.decompress(raw) if name.endswith('.gz') else raw) + require(proc.wait() == 0 and set(values) == set(PINS), 'source extraction') + return values + + +def parity(value): + return value.bit_count() % 2 + + +def mul(matrix, vector): + return sum(parity(row & vector) << i for i, row in enumerate(matrix)) + + +def transpose(matrix): + return tuple(sum(((row >> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + if gate[0] == 'P': + return tuple(mul(gate[1], x) for x in range(512)) + require(gate[0] == 'D', 'state action type') + quadratic, linear = gate[1:] + return tuple((sum(linear[i] for i in range(9) if x >> i & 1) + + 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(9) if x >> i & 1)) % 4 for x in range(512)) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value = [(0, 0)] * 512 + value[basis] = (1, 0) + denominator = 0 + for gate in circuit: + tag = gate[0] + if tag == 'P': + moved = [(0, 0)] * 512 + for source, target in enumerate(action(gate)): + moved[target] = value[source] + value = moved + elif tag == 'X': + value = [value[x ^ gate[1]] for x in range(512)] + elif tag == 'D': + value = [rotate(pair, p) for pair, p in zip(value, action(gate))] + elif tag == 'phase': + value = [rotate(pair, gate[1]) for pair in value] + elif tag == 'C': + direction, sign = gate[1:] + moved = [] + for x, (a, b) in enumerate(value): + c, d = value[x ^ direction] + moved.append((a-sign*b+c+sign*d, b+sign*a+d-sign*c)) + value = moved + denominator += 1 + else: + raise ValueError('state gate type') + while denominator and all((a | b) % 2 == 0 for a, b in value): + value = [(a//2, b//2) for a, b in value] + denominator -= 1 + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ': Pauli action') + require(state(actual) == state(expected), label + ': global phase') + + +def scalar_cost(gate): + if gate[0] in ('copy', 'clear'): + return 1 + value = Fraction(*gate[-2:]) + numerator, denominator = abs(value.numerator), value.denominator + require(numerator > 0 and denominator & (denominator-1) == 0, 'nonzero dyadic scalar') + if gate[0] == 'scale': + require(numerator & (numerator-1) == 0, 'dyadic scale unit') + return abs(numerator.bit_length()-denominator.bit_length()) + (value < 0) + require(gate[0] == 'add', 'scalar type') + return 3 + numerator.bit_length()-1 + numerator.bit_count() + denominator.bit_length()-1 + + +def main(args): + start = time.monotonic() + data = load(args.repo) + word = data['CANONICAL-WORD.json.gz'] + old = data['LOCAL-PROGRAMS.json.gz'] + phase = data['CLIFFORD-RECIPES.json'] + residual = data['RESIDUAL-ADAPTERS.json']['recipes'] + changed_raw = gzip.decompress(args.changed.read_bytes()) + require(sha256(changed_raw).hexdigest() == 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877', 'changed payload pin') + changed = json.loads(changed_raw) + require(set(changed) == {'forward', 'backward'}, 'orientation inventory') + native = lambda events: [e for e in events if e[0] in ('climb', 'adapter', 'residual_adapter')] + invoices = {} + for name, events in changed.items(): + require(native(events) == native(old[name]), 'persistent native stream') + require(all(e[0] in ('scalar', 'phase', 'climb', 'adapter', 'residual_adapter') for e in events), 'event grammar') + first = events.index(['phase', 'centre_dirty_correction']) + last = events.index(['phase', 'A']) + prefix = [e[1] for e in events[first+1:last]] + require(all(e[0] == 'scalar' and e[2] == 0 for e in events[first+1:last]), 'correction frame') + scalars = [e[1] for e in events if e[0] == 'scalar'] + paid = Counter(e[5] for e in events if e[0] == 'climb') + invoices[name] = { + 'events': len(events), 'scalar_macros': len(scalars), + 'real_component_primitive_bound': 2*sum(map(scalar_cost, scalars)), + 'prefix_macros': dict(Counter(e[0] for e in prefix)), + 'prefix_real_component_primitive_bound': 2*sum(map(scalar_cost, prefix)), + 'paid_profile': dict(sorted(paid.items())), + 'paid_rank_sum': sum(rank*count for rank, count in paid.items()), + 'persistent_native_events': len(native(events)), + } + used = {(e[3], e[4]) for e in changed['forward'] if e[0] == 'climb'} + children = {(r['old'], r['new']): r for r in phase['children']} + require(len(children) == len(phase['children']) and used <= set(children), 'child recipe binding') + frames = [frame(tuple(vectors), 9) for vectors in word['frames']] + for i, (a, b) in enumerate(sorted(used)): + record = children[a, b] + require(record['rank'] == len(word['frames'][b])-len(word['frames'][a]), 'paid frame difference') + equal(recipe(record), adjoint(frames[a])+frames[b], 'child '+str((a, b))) + if i % 500 == 0: + print('phase edges', i, '/', len(used), flush=True) + endpoints = {(r['role'], r['port']): r for r in phase['endpoint_adapters']} + require(set(endpoints) == {(role, p) for role in ('source', 'target') for p in range(112)}, 'endpoint coverage') + for (role, port), record in endpoints.items(): + q = word['ports'][port] + conventional = (('C', q, 1),) if role == 'source' else (('C', q, -1),)+fourier(9) + expected_frame = word['start'][port] if role == 'source' else word['final'][112+port] + require(record['frame'] == expected_frame and record['rank'] == 0, 'endpoint frame binding') + equal(recipe(record), adjoint(conventional)+frames[expected_frame], 'endpoint '+str((role, port))) + used_residual = set() + for event in changed['forward']: + if event[0] == 'residual_adapter': + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry)+':'+str(terminal) + require(key in residual and position in ('pre', 'post'), 'residual binding') + require(entry == word['start'][register] and terminal == word['final'][register], 'residual boundary') + used_residual.add(key) + for key in sorted(used_residual): + record = residual[key] + entry = record['frame'] + terminal = record.get('terminal', 1) + equal(recipe(record), adjoint(frames[entry])+frames[terminal], 'residual '+key) + probe = next(r for r in children.values() if r['left']['phase'] != 0 or r['right'] and r['right']['phase'] != 0) + correct = recipe(probe) + corrupt = tuple(gate for gate in correct if gate[0] != 'phase') + if state(corrupt) == state(correct): + corrupt = correct+(('phase', 1),) + require(tableau(corrupt) == tableau(correct) and state(corrupt) != state(correct), 'global phase negative control') + require(state(corrupt, 1) != state(correct, 1), 'phase control second input') + report = { + 'status': 'PASS_INDEPENDENT_NATIVE_FRAME_LIFT_AND_FINITE_LOCAL_BILL', + 'base': BASE, 'archive_sha256': ARCHIVE_HASH, 'member_sha256': PINS, + 'changed_payload_sha256': sha256(changed_raw).hexdigest(), + 'checked_unique_persistent_edges': len(used), 'checked_endpoint_adapters': len(endpoints), + 'checked_residual_recipes': len(used_residual), 'finite_local_invoice': invoices, + 'exact_operator_method': 'Pauli conjugation and exact Gaussian dyadic zero state; no compiler import', + 'negative_controls': ['wrong global phase with the same Pauli action, on basis inputs 0 and 1'], + 'all_tensor_powers': 'Base operators are exactly equal, so their tensor powers are equal for every positive integer. The common frame conjugation proof gives the full array map.', + 'not_claimed': ['global chart or owner admission', 'recursive supplier admission', 'new kappa', 'fresh all-size compiler proof'], + 'seconds': time.monotonic()-start, 'max_rss_bytes': resource.getrusage(resource.RUSAGE_SELF).ru_maxrss, + } + args.out.write_text(json.dumps(report, indent=2, sort_keys=True)+'\n') + print(report['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--repo', type=Path, required=True) + parser.add_argument('--changed', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args()) diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz new file mode 100644 index 0000000000..c6c54dc3bd Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json new file mode 100644 index 0000000000..95300b486d --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json @@ -0,0 +1,4196 @@ +{ + "status": "PASS_PR3133_CLEAN_J_LOCAL_NATIVE_TRANSFER", + "providers": { + "base": { + "forward": { + "live_input_columns": 632, + "arbitrary_C_input_columns": 8, + "C0_exit": "zero", + "C1_to_C7_exit": "physical identity by non-use", + "zero_buffers_returned": 91, + "prefix_events": 832, + 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+ 829, + 830, + 831 + ] + } + } + }, + "payload_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "emitter_sha256": "00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa", + "scope": "Complete literal scalar/native-record transfer on both 632-live-input providers, plus all eight arbitrary C inputs. Native phase lowering is inherited by exact record equality from the pinned provider. No new physical phase sweep, T9 owner admission, recursive private hosting, precision guard or global moment calculation." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md new file mode 100644 index 0000000000..9d2274a342 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md @@ -0,0 +1,119 @@ +# Clean centre deletion on the PR3133 words + +The two PR3133 words admit a clean centre deletion. Each changed local +word has 3507 children, rank mass 5073, and a scalar bound of 164514 real +primitives. The map is `(x,y,h) -> (x,y+Jx,h)` in the forward direction +and `(x,y,h) -> (x-Jy,y,h)` in the backward direction. Here `J=I-KR`, +`K=R^T/4`, and `RK=14I`. + +This is a local result. It does not establish a new controller, owner +allocation, private hosting bound, precision bound, or complete kappa +calculation. + +## Sources and credit + +The words are the exact `FINAL-WORD` payloads from +[PR3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133), at +commit `51eb9c4ee9e4722010d308aa3309e039d3940cc2`. The local source copy +comes from the byte-equal payloads in +[PR3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), at +commit `f2927a4b8afcf0701a6b945e14f30de1d94f5176`: + +- [Base word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/base.json.gz). +- [Extra word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/extra.json.gz). +- [PR3133 source and credit](https://github.com/CrocSwap/integer-mult-bounds/blob/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md). + +The word uses the PR2979 construction by Marius-Paul Dumitrean, the +declared edits from PR3015 by Jeremy Kothe, and the restore and carrier +edits from PR3042 and PR3133 by dcharb78. The source README gives the +earlier credit. The current calculation applies the prior campaign's +centre deletion and input debt correction. OpenAI Codex assisted this +calculation. It is not a maintainer review. + +## The cut changes + +There are 112 source fields, 112 target fields, and 408 arbitrary helper +fields. There are 91 separate private zero buffers. Each centre row is + + c = R x + H h. + +The new words have the same ports, R, and propagated response K as the +earlier campaign word. H changes. It has 367 nonzero coefficients on 106 +helper roles. Every one of these roles enters at frame I and leaves at +FULL. None is removed or has a proper terminal subspace. No formal warp +symbol occurs in a centre row or in the propagated centre response. + +`probe_cut.py` derives these rows from the actual A, cut, B, restore, and +cleanup gates. `INTERFACE.json` records the result. In particular, the +earlier H is not used as the new H. + +Deletion of the centre block gives + + F0(x,y,h) = (x, y + Jx - KHh, h), + B0(x,y,h) = (x - Jy, y, h + H^T R y/4). + +Use the following input corrections: + + before F0: y += K H h, + before B0: h -= H^T R y/4. + +All operands have frame I at this cut. For each query row, C0 is cleared, +the query is formed in C0, the response is added, and C0 is cleared again. +The query source remains unchanged in each direction. Thus the correction +is legal on every arbitrary helper input. It removes the complete helper +debt. It uses one serial owned field, not a new full-cover record family. + +## Full local check and invoice + +`emit_clean_j.py` emits and replays four complete words: both source +providers, in both directions. The replay uses exact rational arithmetic +over free warp symbols. It checks all 632 arbitrary live inputs and eight +arbitrary C inputs. It also checks every scalar frame, every native frame +transition, every zero-buffer lifetime, and every live endpoint frame. +All 408 helpers have the identity logical response. All 91 zero buffers +return to zero. C0 returns to zero; C1 through C7 retain their arbitrary +physical contents because no event touches them. + +| Item | Forward | Backward | +| --- | ---: | ---: | +| Source scalar bound | 158148 | 158196 | +| Deleted centre scalars | 2160 | 2208 | +| Input debt correction | 8526 | 8526 | +| Complete scalar bound | 164514 | 164514 | + +The deleted native block is exactly eight rank-eight centre children. +The retained child profile is +`{1:2433, 2:724, 3:228, 4:102, 5:20}`. Its rank mass is 5073. Each +complete word has 23388 events. All 5115 retained native records are +byte-equal to the source emitter's records: 3507 climbs, 240 warps, 978 +ordinary adapters, and 390 residual adapters. + +The helper width inventory is +`{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`. The result makes no reduction to +the source's reserved helper or private stock. The 91 Z buffers have the +source zero-input contract; they are not arbitrary borrowed inputs. + +## Native phase dependency + +The pinned PR2588 `bw_transport.py` and `bw_emit.py` were run on both new +source words. They accept the new frame chains and replay the source maps +on all live inputs. The changed program adds only frame-I scalar gates +and removes complete private centre paths. It retains every other native +record. Therefore it introduces no new native kernel or phase recipe. + +The source PR3133 `FULL-NATIVE-RECEIPT.json` records a full phase and +wrapper replay of these same input words. That receipt is source evidence. +A fresh full Gaussian sweep was not run in this lane. The independent +review must check the applicable native and residual-adapter dependency; +the scalar replay alone does not establish physical phase correctness. + +## Reproduction + +Run the following commands with one process, from this directory: + + python3 -I -B probe_cut.py + python3 -I -B emit_clean_j.py + +The emitter reads the source-derived files in `native-original-base` and +`native-original-extra`. `FREEZE-CLEAN-J.json` records exact source and +output pins. No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CUT-PROBE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CUT-PROBE.json new file mode 100644 index 0000000000..95df0c7544 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/CUT-PROBE.json @@ -0,0 +1,4724 @@ +{ + "base": { + "payload_sha256": "49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e", + "ports_equal": true, + "R_equal": true, + "H_equal": false, + "K_equal_R_transpose_over_4": true, + "center_R": [ + { + "0": "1", + "92": "1", + "87": "1", + "7": "1", + "76": "1", + "57": "1", + "81": "1", + "27": "1", + "70": "1", + "63": "1", + "90": "1", + "10": "1", + "71": "1", + "62": "1", + "11": "1", + "91": "1", + "72": "1", + "61": "1", + "25": "1", + 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"arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 177312, + "native_profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5089, + "native_children": 3523, + "new_rank_one_children": 16, + "new_child_wrappers": 32, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "F0": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 164944, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_rank_one_children": 0, + "new_child_wrappers": 0, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "F8": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 169152, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_rank_one_children": 8, + "new_child_wrappers": 16, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + } + }, + "controls": { + "B_wrong_Q_inverse": true, + "B_missing_exchange": true, + "B_missing_lower_shear": true, + "F_missing_output_exchange": true, + "F_missing_input_code": true + } + }, + "extra": { + "programs": { + "B0": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 168896, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_rank_one_children": 0, + "new_child_wrappers": 0, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "B8": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 173104, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_rank_one_children": 8, + "new_child_wrappers": 16, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "B16": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 177312, + "native_profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5089, + "native_children": 3523, + "new_rank_one_children": 16, + "new_child_wrappers": 32, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "F0": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 164944, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_rank_one_children": 0, + "new_child_wrappers": 0, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + }, + "F8": { + "all_formal_input_columns": 640, + "arbitrary_helpers_restored": 408, + "owned_private_zero": 8, + "private_zero_buffers_restored": 91, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240, + "scalar_real_primitives": 169152, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_rank_one_children": 8, + "new_child_wrappers": 16, + "unused_private_clear_cost": 14, + "exact_signed_line_columns": 8192 + } + }, + "controls": { + "B_wrong_Q_inverse": true, + "B_missing_exchange": true, + "B_missing_lower_shear": true, + "F_missing_output_exchange": true, + "F_missing_input_code": true + } + } + }, + "payload_sha256": "bc9fab3bc7c849da7eb055a9d7340bf110c11cdd54da049a8297a1324bfa54b1", + "checker_sha256": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "source_pins": { + "core": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "raw_backward": "0d3280c6ad7ce79fba15bc6ff53e32fff1de75d8c17113c6174799e544e6103f", + "raw_forward": "92d66da6d103963f8727b5e2ecb85f5cb48a220f870d36c433b6b3c6803b7cc9", + "raw_utility": "ed9b91708d16226a51fb0f76e3b0c9392553cc316da7c24b9cc1fe21759d6bc0" + }, + "scope": "Ten exact local ordered-operator words. Q and forward/dual K alphabets are distinct; only adjacent inverse pairs cancel. All640arbitrary columns and91zero buffers checked. No complete controller, owner admission, precision or kappa claim." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.json.gz new file mode 100644 index 0000000000..25b52a2742 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.md new file mode 100644 index 0000000000..8e7766b687 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/RAW-SELECTED-TRANSFER.md @@ -0,0 +1,169 @@ +# Physical selected exchanges on the PR3133 core + +The raw selected exchange mechanisms work on both new PR3133 providers. +The zero-line backward word carries the original selected X input into +productive selected Y. Its forward companion exposes the dense ordinary +query in completed selected X. The forward input code uses eight +rank-one children. This pair therefore needs eight new children per +invocation pair, or 32 for four pairs. + +These are local maps with explicit operator codes. A controller must use +or remove these codes. The result does not yet give a complete supplier +or a kappa improvement. + +## Operator contract + +Let A be `[0,7,20,27,36,46,57,111]`, and let U be its complement. In this +coordinate order, the actual source matrices give + + J = [[0,-B],[-D,I-DB]], BD=13I. + +Write `x=(a,u)` and `y=(b,v)`. Physical input X is `Q x`; physical input +Y is y. Each Q_p is the positive port line operator. Physical output X +is `F x'`; physical output Y is `F Q^-1 y'`. F is the common full operator. +It commutes with each port line. No Q operator is commuted through B or D. + +Use `r=Q_A^-1 b`. The zero-line backward word B0 has the map + + X_A' = Bv+r, + X_U' = u-v-Dr+D Q_A a, + Y_A' = Q_A a, + Y_U' = v. + +Its physical selected Y output is exactly `F a`. Thus the original +selected X information is in a productive output, without a persistent +input-record cohort. The map is a unit. Its content inverse is + + v = Y_U', + r = X_A'-Bv, + b = Q_A r, + a = Q_A^-1 Y_A', + u = X_U'+v+Dr-D Y_A'. + +This inverse formula is not a free native decoder. + +The coded forward word F8 has the map + + X_A' = a-Q_A^-1 B u, + X_U' = u, + Y_A' = b, + Y_U' = v+(I-DB)u. + +It carries the dense query `Q_A^-1 B u` in selected completed X relative +to its input a. Its content inverse is + + u = X_U', + a = X_A'+Q_A^-1 B X_U', + b = Y_A', + v = Y_U'-X_U'+DB X_U'. + +The zero-line forward variant F0 omits the input code. It has the same X +and selected Y rows, but its ordinary Y row also contains `-D Q_A^-1 b`. + +The eight-line backward variant B8 first replaces `v` by `v-Dr`. Its map +is + + X_A' = Bv-12r, + X_U' = u-v+D Q_A a, + Y_A' = Q_A a, + Y_U' = v-Dr. + +Its optional second eight-line block removes `D Q_A a` from ordinary X. +This gives B16. All equations retain their stated operator order. + +## Literal implementation + +B0 exchanges each selected physical X and Y field at input, runs the +complete new clean-J backward core, and subtracts D times selected X +from ordinary X at the completed full boundary. Each physical exchange +uses three unit ADDs and one negative SCALE. It acts on arrays at the +same physical addresses. It does not identify their logical frames. + +F8 first forms each `Q_a^-1 b_a` in serial owned C0 and adds its D column +to ordinary Y. It clears C0 after each copy. It then exchanges selected +physical X and Y, runs the complete clean-J forward core, and repeats the +physical exchange at output. F0 omits the first code block. + +B8 uses the same inverse-line copies with negative D at input, followed +by B0. B16 adds the positive-line output correction. The exact boundary +events are inherited from the frozen raw packets in +`lanes/native-escape-20261017`. The new checker maps only their owned C +indices to the new 632-field namespace. It replaces the old core by the +literal new core; it does not use an endpoint matrix in place of the core. + +The new clean-J core preserves unused C1 through C7. To retain the raw +packets' zero-output contract, each transferred word has seven explicit +owned CLEARs at exit. These cost 14 real scalar primitives. They do not +act on borrowed state and need no native child. + +## Complete local invoice + +| Word | New rank-one children | Complete rank mass | Child count | Scalar bound | +| --- | ---: | ---: | ---: | ---: | +| B0 | 0 | 5073 | 3507 | 168896 | +| B8 | 8 | 5081 | 3515 | 173104 | +| B16 | 16 | 5089 | 3523 | 177312 | +| F0 | 0 | 5073 | 3507 | 164944 | +| F8 | 8 | 5081 | 3515 | 169152 | + +Each row includes the full 164514-scalar clean-J core, every new scalar +operation, source access, owned preparation, clear, and restoration. +Each added child has two explicit monomial wrappers. The base child +profile is `{1:2433,2:724,3:228,4:102,5:20}`. Add the listed rank-one +children. Global bridges, decoder operations, idle children, and private +hosting are not included in this local table. + +## Exact replay + +`emit_raw_selected.py` replays all ten local words: five variants on each +of the base and extra providers. Each run includes all 632 arbitrary live +inputs, eight arbitrary C inputs, and the complete 91-buffer zero-input +contract. All 408 arbitrary helpers restore. All 91 private zero buffers +return to zero. All eight owned C outputs are zero. + +The operator alphabet has separate Q, K, and dual-K symbols. K describes +the forward native warp; dual-K describes its inverse transpose. The +replay cancels only adjacent inverse pairs with the same symbol. It does +not commute distinct Q symbols, or move Q through B, D, K, or dual-K. +Every retained scalar frame, native frame transition, warp, and zero-buffer +lifetime is checked. Each source core has 240 warp events. + +The checker also verifies the signed native line recipes on all 8192 +spatial columns per provider. Five full-word controls reject a wrong +inverse-line sign and missing exchange, code, or lower-shear operations. +The B0 map is also the explicit omitted-code case of B8; its complete +formula is checked, not inferred from a successful search. + +## Native phase and reuse + +The new native recipe lane has generated fresh recipes for both source +providers. The backward lift must use its explicit literal dual warp +tables. The logical backward replay uses dual-K and does not assume that +the forward physical K table also gives the backward map. The two tables +differ on 172 of the 180 signed warp classes per provider. Both give +rank-zero operations, but their phase data must be correct. + +The retained source phase and wrapper review is a separate dependency in +`lanes/new-native-recipes-20261017`. Independent review of the complete +transfer remains required. A caller must also bind its inter-call views, +operator codes, helper owners, private fields, recursive children, +precision, and complete cost. In particular, the zero-line local exchange +does not by itself establish a zero-cost global decoding step. + +## Sources and reproduction + +The new source words and their contributor credit are linked in +`CLEAN-J-TRANSFER.md`. The raw mechanisms and their source pins are in +`RAW-SELECTED-BACKWARD.md`, `RAW-SELECTED-FORWARD.md`, and +`ZERO-LINE-BACKWARD.md` in the native-escape lane. The coordinating and +native-escape lanes developed those mechanisms. This lane transfers them +to the changed helper geometry and checks the ordered native core. +OpenAI Codex assisted the work. No independent human review is claimed. + +Run with one process, from this directory: + + python3 -I -B emit_raw_selected.py + +The literal output is `RAW-SELECTED-TRANSFER.json.gz`. The receipt and +freeze file record exact input and output hashes. No PR, push, or +publication commit was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json new file mode 100644 index 0000000000..8df3762a3e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json @@ -0,0 +1,232 @@ +{ + "status": "PASS_PR3133_SIGNED_AND_OBLIQUE_LOCAL_EXTENSIONS", + "providers": { + "base": { + "forward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 18120, + "scalar_real_primitives": 164626, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 18120, + "scalar_real_primitives": 164626, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "coded_forward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19072, + "scalar_real_primitives": 171938, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "coded_backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19072, + "scalar_real_primitives": 171938, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "oblique_backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19112, + "scalar_real_primitives": 172050, + "native_profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5089, + "native_children": 3523, + "new_line_children": 16, + "new_line_wrappers": 32, + "exact_signed_line_columns": 8192 + } + }, + "extra": { + "forward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 18120, + "scalar_real_primitives": 164626, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 18120, + "scalar_real_primitives": 164626, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "coded_forward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19072, + "scalar_real_primitives": 171938, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "coded_backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19072, + "scalar_real_primitives": 171938, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "native_children": 3515, + "new_line_children": 8, + "new_line_wrappers": 16, + "exact_signed_line_columns": 8192 + }, + "oblique_backward": { + "arbitrary_live_inputs": 632, + "arbitrary_C_inputs": 8, + "restored_helpers": 408, + "returned_zero_buffers": 91, + "C0_exit": "zero", + "C1_to_C7_exit": "identity by non-use", + "scalar_frame_checks": 19112, + "scalar_real_primitives": 172050, + "native_profile": { + "1": 2449, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5089, + "native_children": 3523, + "new_line_children": 16, + "new_line_wrappers": 32, + "exact_signed_line_columns": 8192 + } + } + }, + "payload_sha256": "76a318f7c066c65fc43bc5bd4e93faf60036245dac9a9f596f7f95739b2ab272", + "checker_sha256": "8a33029ce23ace9c626de7d90e44aa0318cd97025a9a928fc3a22d848326f6c5", + "scope": "Ten complete local words; all 632 live and eight private arbitrary input columns; all 91 zero buffers. Exact signed line kernels checked. Full retained native phase review, owner allocation, private hosting, finite precision and complete supplier remain separate obligations." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json.gz new file mode 100644 index 0000000000..ebf1c1a8d2 Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.md new file mode 100644 index 0000000000..53202bef03 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/SIGNED-EXTENSIONS.md @@ -0,0 +1,116 @@ +# Signed unit and oblique return on the new core + +The new clean-J core admits the campaign's signed unit and oblique return +mechanisms. The two new providers have the same source and target ports +as the earlier provider. Their selected input and output frames are also +the same. The changed helper geometry does not alter these data cuts. + +Let A be the port indices `[0,7,20,27,36,46,57,111]`, and let Pi be the +coordinate projection onto these fields. Define + + J = I - K R, + S = J - Pi, + P = K_A R, + +where `K_A=Pi K`. Exact multiplication of the actual matrices gives +`RK=14I`, `RK_A=I`, `P^2=P`, and `P S^-1=-Pi`. In the selected and +ordinary coordinate blocks, the two inverse matrices have the form + + S = [[-I, -B], [-D, I-DB]], + S^-1 = [[12I, -B], [-D, I]], + BD = 13I. + +Thus S is a unit over the dyadic coefficient ring. No division by 13 is +needed. The checker verifies both inverse orders from the literal R. + +## Literal words + +For each selected input X field, copy the field into serial owned C0, +apply its inverse line transform to C0, subtract C0 from the same-port Y +field, and clear C0. The input X frame is its port line; the Y frame is +I. This is the input shear `y -= Pi x`. It costs eight rank-one children +and 112 real scalar primitives. + +After a backward clean-J word, the analogous same-port output operation +copies selected Y into C0, applies its positive line transform, adds C0 +to X, and clears C0. The Y output has the port hyperplane frame; X is at +FULL. This gives the output shear `x += Pi y`, at the same cost. + +The resulting plain maps are + + F_S(x,y) = (x, y+Sx), + B_S(x,y) = (x-Sy, y). + +The known two scalar factors for S act on the full Y bank at frame I. +Their inverse acts on the full X bank at frame FULL. Each factor costs +7312 real scalar primitives and returns serial C0 to zero. Composition +with these factors gives + + coded F_S(x,y) = (x, S(x+y)), + coded B_S(x,y) = (S^-1 x-y, y). + +Precede coded B_S by the input shear `y -= Pi x`. This gives + + oblique B_S(x,y) = ((S^-1+Pi)x-y, y-Pi x) + = ((I-P)S^-1 x-y, y+P S^-1 x). + +This return uses sixteen rank-one children over the clean-J core. It +does not store a persistent query record or change a borrowed helper's +contract. The selected response is a current source coordinate. + +## Exact checks and cost + +`emit_signed_extensions.py` checks ten complete local words: the five +maps above on each of the two new providers. It does not replace the core +by a matrix during replay. It replays every retained native, scalar, +warp, and zero-buffer event in its literal position, over exact rational +coefficients and free warp symbols. + +Each check includes all 632 arbitrary live input columns and eight +arbitrary C columns. All 408 helpers have their identity logical response. +All 91 private Z buffers return to zero. C0 returns to zero. C1 through +C7 retain their arbitrary values because they are not used. The checker +also verifies every scalar access frame and all endpoint frames. + +| Complete local word | Scalar bound | Rank mass | Child count | New line children | +| --- | ---: | ---: | ---: | ---: | +| Plain signed forward or backward | 164626 | 5081 | 3515 | 8 | +| Coded signed forward or backward | 171938 | 5081 | 3515 | 8 | +| Oblique backward | 172050 | 5089 | 3523 | 16 | + +Each new line child has two explicit monomial wrappers. The base profile +is `{1:2433, 2:724, 3:228, 4:102, 5:20}`. Add eight or sixteen rank-one +children, as shown in the table. The scalar bound includes preparation, +copy, add, clear, and both common-bank code factors when they are used. + +All sixteen signed line recipes are copied from the prior reviewed +campaign payload. The checker binds that payload by SHA256, checks each +port label against the new canonical provider, and verifies each exact +complex kernel on all 512 spatial columns. This gives 8192 checked +columns per provider. The retained core's complete physical phase review +is a separate dependency, as stated in `CLEAN-J-TRANSFER.md`. + +## Scope and use + +The result makes the lower-cost PR3133 core available to the campaign's +signed and oblique controllers. It establishes each local map on +arbitrary data and borrowed state. It does not establish legal global +projection bridges, query transport, endpoint decoding, recursive child +hosting, or a complete supplier invoice. In particular, a favorable +native budget is not a construction. + +The old source's same-port line phase argument applies when the caller +uses the same paired exterior frames. A new caller must establish that +condition for its own routes and owner schedule. The present result does +not select a caller schedule. + +Run with one process, from this directory: + + python3 -I -B emit_signed_extensions.py + +The literal payload is `SIGNED-EXTENSIONS.json.gz`. The exact pins are in +`FREEZE-SIGNED.json`. The prior mechanism is in the campaign's reviewed +`current-query-encoder` and `oblique-native-20261017` packets. The new +source and its contributor credit are linked in `CLEAN-J-TRANSFER.md`. +OpenAI Codex assisted this calculation. No PR, push, or publication +commit was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json new file mode 100644 index 0000000000..1fbea607cb --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json @@ -0,0 +1,15 @@ +{ + "artifacts": { + "HANDOFF.md": "a3824c5970ec2e5a5da0d9e0ee85398303fc924bc647385a82d673f03e1a3a50", + "REDUCED-INTERFACES.md": "864f9f27a4045329da7cd23bd31b5b36df6471b00da196f6e279af2261d81dfc", + "emit_reduced_interfaces.py": "c9f7e909bb96d1356d169186e3c60cd2a9551b095ae55b97c589e2d10182a35b", + "run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz": "79c87c0fd5ae50bdce435a5bbbc9cc289d9eac8d8f97d3fc08557876d10a2c1c", + "run-normal/REDUCED-INTERFACES-RECEIPT.json": "9f8a7a5429807e953a3abde041ab1a805600544b75228adc566b35a8ab601d4a", + "run-optimized/REDUCED-INTERFACES-PROGRAMS.json.gz": "79c87c0fd5ae50bdce435a5bbbc9cc289d9eac8d8f97d3fc08557876d10a2c1c", + "run-optimized/REDUCED-INTERFACES-RECEIPT.json": "9f8a7a5429807e953a3abde041ab1a805600544b75228adc566b35a8ab601d4a" + }, + "payload_decompressed_sha256": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "schema": "reduced-native-selected-interfaces-freeze-v1", + "scope": "Local physical interfaces and exact full-map normalization reduction. Independent review is separate. No complete supplier or kappa claim.", + "validation": "Normal and python -O payloads and receipts are byte-identical. All 18 complete words pass both provider maps, all 640 ordered inputs, helper and private restoration, owned zero outputs, frames and costs." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md new file mode 100644 index 0000000000..64a8cdd010 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md @@ -0,0 +1,39 @@ +# Reduced physical interfaces: continuation + +The producer checks pass in normal Python and `python -O`. The two +payloads and receipts are byte-identical. `FREEZE.json` pins this packet. +Do not change the frozen files. Use a new output directory for a replay. + +The signed eight-port source gives balanced B and F at 91,264 and 91,472 +real scalar primitives. The short normalized B costs 89,200. Its full +operator equals the longer 99,472-primitive word. The 24-port short +normalized B costs 89,592 and equals its earlier 96,012-primitive word. +All words have native rank mass 5,073 and 3,507 children. They add no +native child. Both providers pass all 640 ordered input columns, helper +restoration, private-buffer returns, owned-field restoration, and frame +checks. The proof states the complete borrowed-source terms. + +The key reduction is valid whenever the selected principal block L has +an implemented inverse. Apply `-L^-1` on the completed selected X fields, +then add D times these changed fields to ordinary X. This is the inverse +of the raw backward original-X coefficient. It does not require H +inverse. The complete equality with the longer path holds on arbitrary +borrowed data, not only on the original-X columns. + +The source and the previous 24-port physical transfer are pinned in the +checker. The previous transfer has a separate independent review at +`new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json`, +SHA-256 `fade8160a807a2687a007a67dec3f21cfe4ebcc1840130c6650e4e2acbc6fa3b`. +Independent review of this reduced packet is pending at freeze time. + +The next local test is an eight-port positive-Q suffix after balanced F. +It must use the current completed fields, retain exact native wrappers, +and price the new children. No old-source access or clean selected-Y +assumption is allowed. Keep this extension separate from this freeze. + +Routed-stage transport, exterior phase, child hosting, recursive +precision, and the complete supplier invoice remain open. There is no +complete kappa claim. The user has forbidden a PR until explicit +approval. Do not create a PR, commit, or push. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md new file mode 100644 index 0000000000..d658525b81 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md @@ -0,0 +1,269 @@ +# Eight-port physical interfaces and a shorter exact normalization + +The new signed response admits a complete physical interface with only +eight selected ports. Its balanced backward and forward words cost +91,264 and 91,472 real scalar primitives. An additional normalized +backward word costs 89,200. It has exactly the same complete map as the +99,472-primitive path that first makes the borrowed-source block +diagonal and then applies the full data inverse. Both paths are emitted +and replayed on arbitrary data and workspace. + +All these words retain native rank mass 5,073 and 3,507 native children. +They add no native child, private field, or owned-field operation. The +short backward normalization needs only a selected eight-port inverse +and a scalar lower shear on the completed X bank. + +The same reduction applies to the preceding 24-port construction. A +coherent selected-query word gives its exact normalized map at 89,592, +instead of 96,012. The preceding frozen words remain valid at their +original bills. + +This is a local result. It does not complete routed-stage code transport +or the supplier recurrence, and it makes no complete kappa claim. + +## Exact source and required interface + +The signed source is +`controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json`, +with SHA-256 +`c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1`. +Its native payload has decompressed SHA-256 +`0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee`. +It selects + +`S=[0,7,15,36,42,46,79,89]`. + +The other 104 ports form U. Of these, 40 are in the centre block and 64 +are in the negative Hadamard block. Write the actual symmetric response +as + +```text +J = [L B] + [D H]. +``` + +The source proves that L and the 40-port ordinary block are dyadic units, +both with determinant `1/16`. The other 64-port block has a dyadic +inverse. Thus H is a dyadic unit on all 104 ordinary ports. The full +48-port response has determinant `5^8`; its dyadic inverse is not +required by this construction. + +The source forward and backward cores implement `(x,y+Jx)` and +`(x-Jy,y)`. Each costs 87,360 scalar primitives. Their actual native +records equal the retained provider records. The canonical words equal +the words in the preceding physical transfer, so its native phase bridge +and orientation-specific literal-dual recipes apply without a change. + +Use the same physical endpoint convention as the preceding transfer: +input `X=diag(Q_p)x`, `Y=y`; completed output, after removal of the common +FULL frame, `X=x'`, `Y=diag(Q_p)^-1 y'`. All formulas below keep these +port operators in their actual order. Write Q for the selected diagonal +operator and `q=Q^-1`. + +## Complete balanced words + +The source supplies a 1,648-primitive word for H on the 40 ordinary centre +ports and its literal inverse at the same cost. Each word uses data +fields in place and no owned field. Bind these words to the actual +initial-Y and completed-X frames. Append the preceding exact 64-port +Hadamard word or its literal inverse. Each costs 2,048 and includes 32 +physical field exchanges. Thus each complete ordinary gauge costs 3,696. + +The checker verifies the full 104-port maps and both matrix inverse +orders. No field exchange, admission, or frame conversion is implicit. +The boundary gauges have no C0 operation. All eight owned fields remain +the responsibility of the native core, which clears them and returns +them zero. + +Each selected exchange costs 26 primitives, so one eight-port pass costs +208. With logical input `x=(a,u)`, `y=(b,v)`, the raw backward word gives + +```text +X_S = q b - L Q a - B v, +X_U = u - D Q a - H v, +Y_S = Q a, +Y_U = v. +``` + +Its cost is `87360+208=87568`. Applying H inverse to the completed X_U +gives the balanced backward word: + +```text +X_S = q b - L Q a - B v, +X_U = H^-1 u - H^-1 D Q a - v, +Y_S = Q a, +Y_U = v. +``` + +Its cost is `87568+3696=91264`. The physical selected Y fields contain +the common FULL transform of the original a. + +The balanced forward word applies H to current ordinary Y, exchanges S, +runs the forward core, and exchanges S again. It gives + +```text +X_S = a + q (L q b + B u), +X_U = u, +Y_S = b, +Y_U = H(u+v) + D q b. +``` + +Its cost is `87360+2*208+3696=91472`. These operations use the current Y +bank before the core and completed data after the core. They do not use +an old query at a later view. + +## A general exact normalization reduction + +The reduction in this section requires only an invertible selected +principal block L. It does not require H inverse. If L and its inverse +have dyadic scalar implementations, the reduction is a dyadic physical +word at the completed common frame. + +The original-X coefficient of the raw backward map, acting on +`z=(Qa,u)`, is + +```text +C = [-L 0] + [-D I]. +``` + +Its inverse is + +```text +N = [-L^-1 0] + [-D L^-1 I]. +``` + +Thus apply the following two operations to the completed raw X bank: + +```text +X_S <- -L^-1 X_S +X_U <- X_U + D X_S +``` + +The second operation uses the already changed selected X fields. The +complete map becomes + +```text +X_S = Q a - L^-1 q b + L^-1 B v, +X_U = u - D L^-1 q b - (H-D L^-1 B)v, +Y_S = Q a, +Y_U = v. +``` + +This proves the required original-X response `diag(Q,I)`. It also states +the entire borrowed-source response. No Q operator moves through L, +B, D, or H. + +When H is also invertible, compare this with the longer path. Let + +```text +U_B = [I -B] + [0 I], + +A = U_B diag(I,H^-1) C. +``` + +The longer path applies H inverse, then the upper subtraction `U_B`, +then A inverse. Its complete scalar suffix is + +`A^-1 U_B diag(I,H^-1)=C^-1=N`. + +This is equality on the full X bank, including every borrowed-source +term. It is not only equality of the original-X coefficient. It also +leaves Y unchanged. The checker executes both literal paths through the +native core and checks that all 640 output columns agree. + +For the signed eight-port source, the emitted data factor is literally + +```text +lower(-D); (-L on S); (H^-1 on the 40 ordinary ports); upper(-B). +``` + +The selected-only factor has 28 scalar operations and costs 192. Its +literal inverse implements `-L^-1` at the same cost. Each cross shear +has 144 half-coefficient ADDs and costs 1,440. The short normalized word +therefore costs + +`87360+208+192+1440=89200`. + +The diagonal backward word costs `91264+1440=92704`. The complete A +inverse includes the 4,720-primitive source word and the 2,048-primitive +64-port factor, so it costs 6,768. The long normalized path costs +`92704+6768=99472`. The exact reduction saves 10,272 primitives. This +equals two ordinary gauges plus two upper shears: +`2*3696+2*1440=10272`. + +## The same reduction on the 24-port response + +The preceding positive component response has + +```text +L = I - K_S^T K_S/2, +L^-1 = I - K_S^T K_S/4, +D = -K_U^T K_S/2, +K_S K_S^T = 6I. +``` + +The short suffix can use one already owned C0. For each centre row, +query its six selected inputs, scale the query by `1/4`, and scatter its +negative signed entries to all 12 supported ports. Scale C0 by `-2` +and subtract the updated selected query. This restores C0 exactly. +After all eight rows, negate the 24 selected fields. The result is +precisely N. The 64 Hadamard ports are unchanged. + +The suffix costs 1,608, including C0 admission, its final zero-frame +reset, and all 24 sign changes. C0 must be zero before each new COPY and +before the final reset. The checker verifies these conditions. The +complete word costs `87984+1608=89592`. It equals the preceding complete +96,012-primitive normalized word on every input column, including the +arbitrary owned input and borrowed data. + +## Verification, dependencies, and limits + +The payload contains fourteen complete eight-port words and four +complete 24-port normalization words. Every word is checked on both +source providers. Each replay covers all 640 input columns, restores +408 arbitrary helpers and 91 private zero buffers, and leaves all eight +owned fields zero. Scalar frames, child ranks, warp order, private-buffer +lifetimes, and all scalar invoices are checked. The native profile is +`2433H1+724H2+228H3+102H4+20H5`. + +The signed eight-port boundary words use no owned field. The 24-port +short suffix uses one existing owned field and restores it coherently. +None of these words adds a native child or private field. All scalar +coefficients and all operator coefficients use exact fractions. + +The checker pins all source manifests and validates every file named by +the two source freezes. It proves exact canonical equality and exact +native-record equality with the earlier phase-checked provider. It uses +the established forward and literal-dual backward recipes. It does not +rerun the lower-level phase interpreter. Independent review of these +new complete words is a separate artifact. + +Run with new output directories: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py --out-dir /tmp/reduced-interfaces-normal +python3 -O work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py --out-dir /tmp/reduced-interfaces-optimized +``` + +Both runs must end with `PASS_REDUCED_NATIVE_SELECTED_INTERFACES` and +decompressed payload hash +`740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d`. +Normal and optimized receipts and payloads must be byte-identical. +The checker rejects an existing output directory. + +The signed response and principal-unit proof come from the controller +lane. Its source credits the bridge-review lane for the ordinary and +general data gauges, the budget-geometry lane for the sharp eight-port +lower bound within the sign family, and the oblique-native lane for the +response space. This packet adds the literal physical transfer and the +short exact normalization. It also uses the earlier native replay and +phase-checked provider work. This is AI-assisted research. + +Routed-stage transport, caller exterior phase, storage hosting, recursive +precision, and the complete supplier bill remain open. Local principal +units do not establish these obligations. No PR, commit, or push is part +of this work. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py new file mode 100644 index 0000000000..7b61cd2b27 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py @@ -0,0 +1,388 @@ +#!/usr/bin/env python3 +"""Emit the eight-port interface and reduced exact backward normalizations.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parent +LANES = LANE.parent +EIGHT = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +STRUCTURED = LANES / 'controller-followthrough-20261017/structured-centres' +TRANSFER = LANE / 'structured-centres-transfer-20261018' +PINS = { + 'eight_freeze': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'eight_payload': '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee', + 'structured_payload': '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1', + 'preceding_transfer_freeze': 'e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280', + 'preceding_transfer_payload': 'ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b', + 'scalar_tools': 'a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2', + 'native_replay': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', +} + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(raw) + + +def module(name, path, pin): + need(sha256(path.read_bytes()).hexdigest() == pin, 'Tool pin: ' + str(path)) + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def decode(rows): + return [{int(q): F(value) for q, value in row.items()} for row in rows] + + +def product(left, right): + result = [] + for row in left: + out = {} + for q, value in row.items(): + r.add(out, right[q], value) + result.append(out) + return result + + +def inverse(matrix): + size = len(matrix) + rows = [[matrix[i].get(j, F(0)) for j in range(size)] + [F(i == j) for j in range(size)] + for i in range(size)] + for column in range(size): + pivot = next(i for i in range(column, size) if rows[i][column]) + rows[column], rows[pivot] = rows[pivot], rows[column] + coefficient = rows[column][column] + rows[column] = [value / coefficient for value in rows[column]] + for i in range(size): + if i != column and rows[i][column]: + coefficient = rows[i][column] + rows[i] = [a - coefficient * b for a, b in zip(rows[i], rows[column])] + return [{j: value for j, value in enumerate(row[size:]) if value} for row in rows] + + +def identity_matrix(): + return [{p: F(1)} for p in range(112)] + + +def lift(matrix, ports): + output = identity_matrix() + for i, p in enumerate(ports): + output[p] = {ports[j]: value for j, value in matrix[i].items()} + return output + + +def bind(source, offset, frame): + output = [] + for event in source: + need(event[0] == 'scalar' and event[2] == 0, 'Scalar source frame') + gate = event[1] + need(gate[0] in ('add', 'scale'), 'No owned field or nonunit scalar operation') + tokens = [token for token in gate[1:] if isinstance(token, list)] + need(all(token[0] == 'L' and 0 <= token[1] < 112 for token in tokens), 'Data-only gauge') + if gate[0] == 'add': + output.append(u.scalar('add', offset + gate[1][1], offset + gate[2][1], F(*gate[3:5]), frame)) + else: + output.append(u.scalar('scale', offset + gate[1][1], coefficient=F(*gate[2:4]), frame=frame)) + return output + + +def move(events, offset, frame): + output = deepcopy(events) + for event in output: + event['frame'] = frame + for key in ('target', 'source'): + if key in event: + need(0 <= event[key] < 112, 'Data-only Hadamard word') + event[key] += offset + return output + + +def boundary(events, state, n): + start = 0 + for index, event in enumerate(events): + if event['kind'] != 'clear': + continue + state = r.boundary(events[start:index], state, n) + if index: + need(not state[event['target']], 'Zero query before frame reset') + state = r.boundary([event], state, n) + start = index + 1 + return r.boundary(events[start:], state, n) + + +def apply_matrix(matrix, state, offset=0): + output = deepcopy(state) + for p, row in enumerate(matrix): + output[offset + p] = {} + for q, value in row.items(): + r.add(output[offset + p], state[offset + q], value) + return output + + +def raw_expected(j, selected, identity, backward): + output = deepcopy(identity) + selected = set(selected) + if backward: + for p in range(112): + if p in selected: + output[p] = r.line(identity[112 + p], p, -1) + output[112 + p] = r.line(identity[p], p, 1) + for q, value in j[p].items(): + source = r.line(identity[q], q, 1) if q in selected else identity[112 + q] + r.add(output[p], source, -value) + else: + for p in range(112): + query = {} + for q, value in j[p].items(): + source = r.line(identity[112 + q], q, -1) if q in selected else identity[q] + r.add(query, source, value) + if p in selected: + r.add(output[p], r.line(query, p, -1)) + else: + r.add(output[112 + p], query) + return output + + +def selected_normalizer(j, selected): + index = {p: i for i, p in enumerate(selected)} + l = [{index[q]: value for q, value in j[p].items() if q in index} for p in selected] + li = inverse(l) + need(all(value.denominator & (value.denominator - 1) == 0 for row in li for value in row.values()), 'Dyadic selected inverse') + need(product(l, li) == product(li, l) == [{i: F(1)} for i in range(len(selected))], 'Selected inverse orders') + output = identity_matrix() + for p in selected: + output[p] = {selected[q]: -value for q, value in li[index[p]].items()} + for p in range(112): + if p in index: + continue + for q, value in j[p].items(): + if q in index: + r.add(output[p], output[q], value) + return output + + +def selected_query_normalizer(rows, selected, n): + output = [u.scalar('clear', n, frame=1)] + for row in rows: + query = {p: value for p, value in row.items() if p in selected} + ports = sorted(query) + need(len(ports) == 6, 'Six selected query entries') + output.append(u.scalar('copy', n, ports[0], frame=1)) + if query[ports[0]] == -1: + output.append(u.scalar('scale', n, coefficient=F(-1), frame=1)) + output += [u.scalar('add', n, p, query[p], 1) for p in ports[1:]] + output.append(u.scalar('scale', n, coefficient=F(1, 4), frame=1)) + output += [u.scalar('add', p, n, -value, 1) for p, value in sorted(row.items())] + output.append(u.scalar('scale', n, coefficient=F(-2), frame=1)) + output += [u.scalar('add', n, p, -query[p], 1) for p in ports] + output += [u.scalar('scale', p, coefficient=F(-1), frame=1) for p in sorted(selected)] + output.append(u.scalar('clear', n, frame=0)) + need(u.price(output) == 1608, 'Selected-query normalized suffix price') + return output + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out-dir', type=Path, required=True) + args = parser.parse_args() + need(not args.out_dir.exists(), 'Use a new output directory') + for directory, name, pin in ((EIGHT, 'FREEZE.json', PINS['eight_freeze']), + (TRANSFER, 'FREEZE.json', PINS['preceding_transfer_freeze'])): + freeze = read(directory / name, pin) + for filename, value in freeze['artifacts'].items(): + need(sha256((directory / filename).read_bytes()).hexdigest() == value, 'Frozen dependency: ' + filename) + eight = read(EIGHT / 'BIPARTITE-EIGHT-PROGRAM.json.gz', PINS['eight_payload'], True) + structured = read(STRUCTURED / 'STRUCTURED-CENTRES-PROGRAM.json.gz', PINS['structured_payload'], True) + preceding = read(TRANSFER / 'scaled-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz', PINS['preceding_transfer_payload'], True) + packet = {'schema': 'reduced-native-selected-interfaces-v1', 'source_pins': PINS, 'families': {}} + receipt = {'status': 'PASS_REDUCED_NATIVE_SELECTED_INTERFACES', 'source_pins': PINS, 'families': {}} + for family_name in ('eight', 'twenty_four'): + is_eight = family_name == 'eight' + source = eight if is_eight else structured + selected = source['selected_ports'] if is_eight else preceding['selected_S'] + ordinary = sorted(set(range(112)) - set(selected)) + j = decode(source['response']) + if not is_eight: + j = [{q: -value for q, value in row.items()} for row in j] + normalizer = selected_normalizer(j, selected) + family = {'selected_S': selected, 'ordinary_U': ordinary, 'providers': {}} + reports = {} + for provider, source_item in source['providers'].items(): + old = preceding['providers'][provider] + word, n = source_item['canonical'], len(source_item['canonical']['start']) + need(word == old['canonical'] and n == 632 and len(word['zero_buffers']) == 91, 'Exact retained geometry and resources') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Boundary frames') + native = source_item['programs'] if is_eight else { + direction: old['programs']['raw_' + direction]['retained_core'] for direction in ('forward', 'backward')} + for direction in native: + records = lambda events: [event for event in events if event[0] in ('climb', 'warp', 'adapter', 'residual_adapter')] + need(records(native[direction]) == records(old['programs']['raw_' + direction]['retained_core']), 'Identical native phase records') + need(r.core_price(native[direction]) == 87360, 'Native scalar price') + identity = {p: {(p, ()): F(1)} for p in range(n + 8)} + raw_b = raw_expected(j, selected, identity, True) + normalized = apply_matrix(normalizer, raw_b) + if is_eight: + centre_u, large, small = source['ordinary_centre_ports'], source['large_ports'], source['small_ports'] + gauges = source['gauge_programs'] + h64 = old['gauge_words']['hadamard_X'] + hi64 = old['gauge_words']['hadamard_inverse_X'] + h, hi = lift(decode(source['gauge_maps']['ordinary']), centre_u), lift(decode(source['gauge_maps']['ordinary_inverse']), centre_u) + data, data_inverse = lift(decode(source['gauge_maps']['data']), large), lift(decode(source['gauge_maps']['data_inverse']), large) + for p in small: + h[p] = dict(j[p]) + hi[p] = {q: value / 4 for q, value in j[p].items()} + data[p], data_inverse[p] = dict(hi[p]), dict(h[p]) + need(product(h, hi) == product(hi, h) == identity_matrix(), 'Complete ordinary inverse orders') + need(product(data, data_inverse) == product(data_inverse, data) == identity_matrix(), 'Complete data inverse orders') + pre = bind(gauges['ordinary'], 112, 0) + move(h64, 112, 0) + post_h = bind(gauges['ordinary_inverse'], 0, 1) + hi64 + upper = [u.scalar('add', p, q, -value, 1) for p in selected for q, value in sorted(j[p].items()) if q in ordinary] + lower = [u.scalar('add', p, q, value, 1) for p in ordinary for q, value in sorted(j[p].items()) if q in selected] + selected_source = [event for event in gauges['data'] + if all(token[1] in selected for token in event[1][1:] if isinstance(token, list))] + selected_word = bind(selected_source, 0, 1) + negative_lower = [dict(event, coefficient=str(-F(event['coefficient']))) for event in lower] + need(bind(gauges['data'], 0, 1) == negative_lower + selected_word + bind(gauges['ordinary_inverse'], 0, 1) + upper, + 'Literal source data factorization') + selected_inverse = u.inverse_word(selected_word) + short_post = selected_inverse + lower + long_post = post_h + upper + bind(gauges['data_inverse'], 0, 1) + h64 + need(u.price(selected_inverse) == 192 and u.price(lower) == u.price(upper) == 1440, 'Selected and shear prices') + balanced_b = apply_matrix(hi, raw_b) + diagonal_b = deepcopy(identity) + for p in range(112): + diagonal_b[p] = {} + for q, value in data[p].items(): + src = r.line(identity[q], q, 1) if q in selected else identity[q] + r.add(diagonal_b[p], src, value) + if p in selected: + r.add(diagonal_b[p], r.line(identity[112 + p], p, -1)) + diagonal_b[112 + p] = r.line(identity[p], p, 1) + else: + r.add(diagonal_b[p], identity[112 + p], -1) + need(apply_matrix(data_inverse, diagonal_b) == normalized, 'Complete short and long map identity') + raw_f = raw_expected(j, selected, identity, False) + balanced_f = deepcopy(raw_f) + for p in ordinary: + balanced_f[112 + p] = {} + for q, value in h[p].items(): + r.add(balanced_f[112 + p], identity[q], value) + r.add(balanced_f[112 + p], identity[112 + q], value) + for q, value in j[p].items(): + if q in selected: + r.add(balanced_f[112 + p], r.line(identity[112 + q], q, -1), value) + for events, matrix, offset in ((pre, h, 112), (post_h, hi, 0)): + need(boundary(events, identity, n) == apply_matrix(matrix, identity, offset), 'Actual complete ordinary gauge') + specs = { + 'raw_backward': ('backward', [], [], raw_b, 87568), + 'balanced_backward': ('backward', [], post_h, balanced_b, 91264), + 'diagonal_backward': ('backward', [], post_h + upper, diagonal_b, 92704), + 'long_normalized_backward': ('backward', [], long_post, normalized, 99472), + 'short_normalized_backward': ('backward', [], short_post, normalized, 89200), + 'raw_forward': ('forward', [], u.exchange(selected, 1), raw_f, 87776), + 'balanced_forward': ('forward', pre, u.exchange(selected, 1), balanced_f, 91472), + } + local_words = {'ordinary_Y': pre, 'ordinary_inverse_X': post_h, 'selected_inverse_X': selected_inverse, + 'upper_X': upper, 'lower_X': lower, 'short_normalizer_X': short_post, + 'long_normalizer_X': long_post} + else: + rows = decode(source['centre_rows']) + short_post = selected_query_normalizer(rows, selected, n) + long_post = old['programs']['normalized_backward']['suffix'] + specs = { + 'long_normalized_backward': ('backward', [], long_post, normalized, 96012), + 'short_normalized_backward': ('backward', [], short_post, normalized, 89592), + } + local_words = {'short_normalizer_X': short_post, 'long_normalizer_X': long_post} + for name, events in local_words.items(): + u.check_frames(events, 0 if name == 'ordinary_Y' else 1, n) + expected_suffix = apply_matrix(normalizer, identity) + if not is_eight: + expected_suffix[n] = {} + need(boundary(short_post, identity, n) == expected_suffix, 'Exact short scalar normalizer on all columns') + need(boundary(short_post, identity, n) == boundary(long_post, identity, n), 'Literal short/long suffix equality') + input_swap = u.exchange(selected, 0) + actual_maps, programs, results = {}, {}, {} + for name, (direction, pre, post, expected, total) in specs.items(): + expected = deepcopy(expected) + for p in range(n, n + 8): + expected[p] = {} + physical = deepcopy(identity) + for p in range(112): + physical[p] = r.line(physical[p], p, 1) + physical = boundary(pre + input_swap, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = r.line(logical[p], p, -1) + logical, checks, warps = r.core_replay(native[direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = r.line(physical[112 + p], p, -1) + physical = boundary(post, physical, n) + actual = deepcopy(physical) + for p in range(112): + actual[112 + p] = r.line(actual[112 + p], p, 1) + need(actual == expected, 'All640 ordered columns: ' + family_name + ' ' + provider + ' ' + name) + need(all(actual[p] == identity[p] for p in range(224, n)), 'Arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned fields zero') + if direction == 'backward': + need(all(physical[112 + p] == identity[p] for p in selected), 'Physical selected Y source') + if 'normalized' in name: + for p in range(112): + part = {key: value for key, value in actual[p].items() if key[0] < 112} + need(part == (r.line(identity[p], p, 1) if p in selected else identity[p]), 'Normalized original-X response') + bill = r.core_price(native[direction]) + u.price(pre + input_swap + post) + need(bill == total, 'Complete scalar invoice') + profile = Counter(event[5] for event in native[direction] if event[0] == 'climb') + need(dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Retained native profile') + programs[name] = {'orientation': direction, 'prefix': pre, 'input_exchange': input_swap, + 'retained_core': native[direction], 'suffix': post, + 'events': pre + input_swap + native[direction] + post} + results[name] = {'scalar_real_primitives': bill, 'native_rank_mass': 5073, 'native_children': 3507, + 'new_native_children': 0, 'new_private_fields': 0, 'native_profile': dict(sorted(profile.items())), + 'all_input_columns': 640, 'arbitrary_helpers_restored': 408, + 'private_zero_buffers_restored': 91, 'owned_final_zero': 8, + 'core_scalar_frame_checks': checks, 'core_warp_events': warps} + actual_maps[name] = actual + print(family_name, provider, name, bill, flush=True) + need(actual_maps['short_normalized_backward'] == actual_maps['long_normalized_backward'], 'Complete native path equality') + family['providers'][provider] = {'canonical': word, 'local_words': local_words, 'programs': programs} + reports[provider] = {'programs': results, 'local_word_prices': {name: u.price(events) for name, events in local_words.items()}, + 'complete_normalized_paths_equal': True, 'same_native_phase_records': True} + packet['families'][family_name], receipt['families'][family_name] = family, reports + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Complete local physical interfaces and equal short/long normalization paths. ' + 'All Q operators remain ordered. Inter-call transport, exterior phase, hosting, ' + 'recursive precision and the complete supplier invoice remain separate.') + args.out_dir.mkdir(parents=True) + (args.out_dir / 'REDUCED-INTERFACES-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (args.out_dir / 'REDUCED-INTERFACES-RECEIPT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + r = module('reduced_native_replay', LANE / 'emit_raw_selected.py', PINS['native_replay']) + u = module('reduced_scalar_tools', TRANSFER / 'emit_structured_transfer.py', PINS['scalar_tools']) + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz new file mode 100644 index 0000000000..690bfdf13d Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json new file mode 100644 index 0000000000..cf9cd16fe2 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json @@ -0,0 +1,431 @@ +{ + "checker_sha256": "c9f7e909bb96d1356d169186e3c60cd2a9551b095ae55b97c589e2d10182a35b", + "families": { + "eight": { + "base": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 11904, + "lower_X": 1440, + "ordinary_Y": 3696, + "ordinary_inverse_X": 3696, + "selected_inverse_X": 192, + "short_normalizer_X": 1632, + "upper_X": 1440 + }, + "programs": { + "balanced_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91264 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91472 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 92704 + }, + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 99472 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87568 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + 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All Q operators remain ordered. Inter-call transport, exterior phase, hosting, recursive precision and the complete supplier invoice remain separate.", + "source_pins": { + "eight_freeze": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "eight_payload": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "preceding_transfer_freeze": "e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280", + "preceding_transfer_payload": "ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b", + "scalar_tools": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "structured_payload": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1" + }, + "status": "PASS_REDUCED_NATIVE_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_clean_j.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_clean_j.py new file mode 100644 index 0000000000..c4e3c84db2 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_clean_j.py @@ -0,0 +1,208 @@ +#!/usr/bin/env python3 +"""Lower the PR3133 centre deletion and its entrance correction.""" +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import gzip +import hashlib +import json + +HERE = Path(__file__).resolve().parent +INTERFACE = HERE / 'INTERFACE.json' +INPUT_PINS = {'native-original-base/CANONICAL-WORD.json.gz': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', 'native-original-base/LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', 'native-original-base/FULL-WORD.json.gz': '49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e', 'native-original-extra/CANONICAL-WORD.json.gz': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', 'native-original-extra/LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', 'native-original-extra/FULL-WORD.json.gz': '34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731'} +INTERFACE_PIN = 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746' + + +def require(test, message): + if not test: + raise ValueError(message) + + +def digest(data): + return hashlib.sha256(data).hexdigest() + + +def read_gzip(path): + return json.loads(gzip.decompress(path.read_bytes())) + + +def scalar_cost(op): + if op[0] in ('clear', 'copy'): + return 2 + q = Q(*op[-2:]) + a, b = abs(q.numerator), q.denominator + require(b & (b - 1) == 0, 'Dyadic coefficient') + if op[0] == 'scale': + require(a & (a - 1) == 0, 'Unit SCALE') + return 2 * (abs(a.bit_length() - b.bit_length()) + int(q < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def prefix(R, H, original_to_compact, backward): + result = [['phase', 'clean_J_input_helper_debt_correction']] + C = ['C', 0] + def add(target, source, coefficient): + q = Q(coefficient) + result.append(['scalar', ['add', target, source, q.numerator, q.denominator], 0]) + for k in range(8): + result.append(['scalar', ['clear', C], 0]) + if backward: + for p, value in sorted(R[k].items()): + add(C, ['L', 112 + p], value / 4) + for h, value in sorted(H[k].items()): + add(['L', original_to_compact[h]], C, -value) + else: + for h, value in sorted(H[k].items()): + add(C, ['L', original_to_compact[h]], value) + for p, value in sorted(R[k].items()): + add(['L', 112 + p], C, value / 4) + result.append(['scalar', ['clear', C], 0]) + return result + + +def add_row(dst, src, q): + for key, value in src.items(): + value = dst.get(key, 0) + q * value + if value: + dst[key] = value + else: + dst.pop(key, None) + + +def replay(program, canonical, backward, R, clean=True): + n = 224 + canonical['R'] + fields = [('L', i) for i in range(n)] + [('C', i) for i in range(8)] + rows = {field: {(field, ()): Q(1)} for field in fields} + frames = {('L', i): f for i, f in enumerate(canonical['start'])} + frames.update({('C', i): 0 for i in range(8)}) + zero_live = set() + prefix_end = next(i for i, event in enumerate(program) if event == ['phase', 'zero_frame_precondition']) + for position, event in enumerate(program): + tag = event[0] + if tag == 'scalar': + op, frame = event[1:] + field = tuple(op[1]) + if op[0] == 'clear': + rows[field] = {} + frames[field] = frame + elif op[0] == 'copy': + other = tuple(op[2]) + require(frames[field] == frames[other] == frame, ('COPY frame', position)) + rows[field] = dict(rows[other]) + elif op[0] == 'add': + other = tuple(op[2]) + require(frames[field] == frames[other] == frame, ('ADD frame', position)) + require(field != other, 'Distinct ADD fields') + add_row(rows[field], rows[other], Q(op[3], op[4])) + elif op[0] == 'scale': + require(frames[field] == frame, ('SCALE frame', position)) + q = Q(op[2], op[3]) + rows[field] = {key: q * v for key, v in rows[field].items()} + else: + raise ValueError(op[0]) + elif tag == 'climb': + field = ('L', event[2]) + require(frames[field] == event[3], ('Native input frame', position)) + require(len(canonical['frames'][event[4]]) - len(canonical['frames'][event[3]]) == event[5], 'Native rank') + frames[field] = event[4] + elif tag == 'warp': + field = tuple(event[1]) + require(frames[field] == event[3], ('Warp frame', position)) + frames[field] = event[4] + symbol = event[2] + if backward: + symbol = (abs(symbol) + 1000) * (1 if symbol > 0 else -1) + rows[field] = {(source, word[:-1] if word and word[-1] == -symbol else word + (symbol,)): value for (source, word), value in rows[field].items()} + elif tag == 'zero_buffer': + field = ('Z', event[2]) + if event[1] == 'alloc': + require(field not in zero_live, 'Zero buffer allocated once') + zero_live.add(field) + rows[field] = {} + frames[field] = 1 + else: + require(field in zero_live and not rows[field], 'Zero buffer returned to zero') + zero_live.remove(field) + elif tag in ('phase', 'adapter', 'residual_adapter'): + pass + else: + raise ValueError(('Unexpected event', event)) + require(not zero_live, 'No live zero buffer at exit') + for field in fields: + kind, index = field + goal = {(field, ()): Q(1)} + if kind == 'C': + if index == 0: + goal = {} + elif index < 224: + is_target = index < 112 if backward else index >= 112 + if is_target: + p = index if backward else index - 112 + source = ('L', 112 + p if backward else p) + add_row(goal, {(source, ()): Q(1)}, -1 if backward else 1) + for k in range(8): + value = R[k].get(p, Q(0)) + for j, coefficient in R[k].items(): + src = ('L', 112 + j if backward else j) + add_row(goal, {(src, ()): coefficient}, value / 4 if backward else -value / 4) + require(rows[field] == goal, ('Complete map mismatch', backward, field)) + require([frames['L', i] for i in range(n)] == canonical['final'], 'All live endpoint frames') + return {'live_input_columns': n, 'arbitrary_C_input_columns': 8, 'C0_exit': 'zero', 'C1_to_C7_exit': 'physical identity by non-use', 'zero_buffers_returned': len(canonical['zero_buffers']), 'prefix_events': prefix_end, 'events': len(program)} + + +def native_record(event): + return event[0] in ('climb', 'center', 'warp', 'adapter', 'residual_adapter') + + +def main(): + require(digest(INTERFACE.read_bytes()) == INTERFACE_PIN, 'Pinned derived interface') + for name, pin in INPUT_PINS.items(): + require(digest(gzip.decompress((HERE / name).read_bytes())) == pin, 'Pinned source: ' + name) + interface = json.loads(INTERFACE.read_text()) + R = [{int(k): Q(v) for k, v in row.items()} for row in interface['R']] + H = [{int(k): Q(v) for k, v in row.items()} for row in interface['H']] + payload = {'schema': 'pr3133-clean-J-native-transfer-v1', 'providers': {}, 'R': interface['R'], 'H': interface['H'], 'source_interface_sha256': digest(INTERFACE.read_bytes())} + receipt = {'status': 'PASS_PR3133_CLEAN_J_LOCAL_NATIVE_TRANSFER', 'providers': {}} + for name in ('base', 'extra'): + folder = HERE / ('native-original-' + name) + canonical = read_gzip(folder / 'CANONICAL-WORD.json.gz') + old = read_gzip(folder / 'LOCAL-PROGRAMS.json.gz') + original = read_gzip(folder / 'FULL-WORD.json.gz') + kept = list(range(224)) + canonical['helper_origin'] + mapping = {r: i for i, r in enumerate(kept)} + require(len(mapping) == 632, 'Complete compact live namespace') + require(all(canonical['start'][mapping[h]] == 0 and canonical['final'][mapping[h]] == 1 for row in H for h in row), 'All H roles are I to FULL') + result = {'canonical': canonical, 'programs': {}, 'removed_centre_blocks': {}, 'source_program_payload_sha256': digest(gzip.decompress((folder / 'LOCAL-PROGRAMS.json.gz').read_bytes()))} + result_receipt = {} + for orientation in ('forward', 'backward'): + backward = orientation == 'backward' + source = old[orientation] + left = source.index(['phase', 'centers']) + right = source.index(['phase', 'B'], left) + deleted = source[left + 1:right] + require(all(e[0] in ('center', 'scalar') for e in deleted), 'Only centre block is removed') + require(Counter(e[4] for e in deleted if e[0] == 'center') == {8: 8}, 'Exact deleted native profile') + start = prefix(R, H, mapping, backward) + target = start + source[:left + 1] + source[right:] + require([e for e in target if native_record(e)] == [e for e in source if native_record(e) and e[0] != 'center'], 'All retained native records equal the source') + check = replay(target, canonical, backward, R) + profile = Counter(e[5] for e in target if e[0] == 'climb') + require(profile == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Clean profile') + bill = sum(scalar_cost(e[1]) for e in target if e[0] == 'scalar') + require(bill == 164514, 'Complete scalar bill') + result['programs'][orientation] = target + result['removed_centre_blocks'][orientation] = deleted + check.update(native_profile=dict(sorted(profile.items())), native_rank_mass=sum(r * c for r, c in profile.items()), native_children=sum(profile.values()), scalar_real_primitives=bill, scalar_added=sum(scalar_cost(e[1]) for e in start if e[0] == 'scalar'), scalar_removed=sum(scalar_cost(e[1]) for e in deleted if e[0] == 'scalar'), scalar_original=sum(scalar_cost(e[1]) for e in source if e[0] == 'scalar'), retained_native_records=sum(native_record(e) for e in target), native_record_counts=dict(Counter(e[0] for e in target if native_record(e))), zero_buffer_event_positions=[i for i, e in enumerate(target) if e[0] == 'zero_buffer'], C0_scalar_positions=[i for i, e in enumerate(target) if e[0] == 'scalar' and ['C', 0] in e[1]]) + result_receipt[orientation] = check + result['helper_endpoint_roles'] = [{'compact': i, 'original': original_role, 'entry_frame': canonical['start'][i], 'exit_frame': canonical['final'][i], 'width': len(canonical['frames'][canonical['final'][i]]) - len(canonical['frames'][canonical['start'][i]])} for i, original_role in enumerate(kept) if i >= 224] + payload['providers'][name] = result + receipt['providers'][name] = result_receipt + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'CLEAN-J-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt.update(payload_sha256=digest(raw), emitter_sha256=digest(Path(__file__).read_bytes()), scope='Complete literal scalar/native-record transfer on both 632-live-input providers, plus all eight arbitrary C inputs. Native phase lowering is inherited by exact record equality from the pinned provider. No new physical phase sweep, T9 owner admission, recursive private hosting, precision guard or global moment calculation.') + (HERE / 'CLEAN-J-TRANSFER.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_raw_selected.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_raw_selected.py new file mode 100644 index 0000000000..49ad395af7 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_raw_selected.py @@ -0,0 +1,327 @@ +#!/usr/bin/env python3 +"""Transfer physical selected exchanges with ordered Q and warp operators.""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +OLD = LANES / 'native-escape-20261017' +PINS = { + 'core': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', + 'raw_backward': '0d3280c6ad7ce79fba15bc6ff53e32fff1de75d8c17113c6174799e544e6103f', + 'raw_forward': '92d66da6d103963f8727b5e2ecb85f5cb48a220f870d36c433b6b3c6803b7cc9', + 'raw_utility': 'ed9b91708d16226a51fb0f76e3b0c9392553cc316da7c24b9cc1fe21759d6bc0', +} + + +def need(test, label): + if not test: + raise ValueError(label) + + +def load(path, pin): + raw = gzip.decompress(path.read_bytes()) + need(sha256(raw).hexdigest() == pin, 'Source pin: ' + str(path)) + return json.loads(raw) + + +def add(dst, src, q=Q(1)): + for key, c in src.items(): + c = dst.get(key, 0) + q * c + if c: + dst[key] = c + else: + dst.pop(key, None) + + +def operator(row, symbol, power): + out = {} + for (source, word), c in row.items(): + w = word[1:] if word and word[0] == (symbol, -power) else ((symbol, power),) + word + add(out, {(source, w): c}) + return out + + +def line(row, port, power): + return operator(row, ('Q', port), power) + + +def boundary(events, state, n): + state = deepcopy(state) + for e in events: + t, op = e['target'], e['kind'] + need(t < 224 or n <= t < n + 8, 'No borrowed helper boundary target') + if op == 'clear': + need(n <= t < n + 8, 'Only owned private fields are cleared') + state[t] = {} + elif op == 'copy': + need(t == n and not state[t], 'Serial owned C0 copy') + need(e['source'] < 224, 'Data copy source') + state[t] = dict(state[e['source']]) + elif op == 'line': + need(t == n and e['power'] in (-1, 1), 'Signed C0 child') + state[t] = line(state[t], e['port'], e['power']) + elif op == 'add': + s = e['source'] + need(s != t and (s < 224 or n <= s < n + 8), 'Legal physical ADD source') + add(state[t], state[s], Q(e['coefficient'])) + else: + need(op == 'scale', 'Known physical boundary operation') + c = Q(e['coefficient']) + state[t] = {key: c * v for key, v in state[t].items() if c * v} + return state + + +def core_replay(events, state, word, backward): + state = deepcopy(state) + n = len(word['start']) + frames = {p: f for p, f in enumerate(word['start'])} + frames.update({n + p: 0 for p in range(8)}) + zeros = set() + def slot(token): + if token[0] == 'L': + need(0 <= token[1] < n, 'Live register range') + return token[1] + if token[0] == 'C': + need(0 <= token[1] < 8, 'Owned register range') + return n + token[1] + need(token[0] == 'Z', 'Native register namespace') + return ('Z', token[1]) + checks, warps = 0, 0 + for event in events: + tag = event[0] + if tag == 'scalar': + gate, f = event[1:] + t, op = slot(gate[1]), gate[0] + if op == 'clear': + need(isinstance(t, int) and n <= t < n + 8, 'Owned core CLEAR') + state[t], frames[t] = {}, f + else: + need(frames[t] == f, 'Native scalar target frame') + if op == 'scale': + c = Q(*gate[2:4]) + state[t] = {key: c * v for key, v in state[t].items() if c * v} + else: + s = slot(gate[2]) + need(s != t and frames[s] == f, 'Native scalar source frame') + if op == 'copy': + need(isinstance(t, int) and n <= t < n + 8, 'Owned core COPY') + state[t] = dict(state[s]) + else: + need(op == 'add', 'Known core scalar') + add(state[t], state[s], Q(*gate[3:5])) + checks += 1 + elif tag == 'climb': + t, old, new, rank = event[2:6] + need(frames[t] == old, 'Native old frame') + need(len(word['frames'][new]) - len(word['frames'][old]) == rank, 'Native rank') + frames[t] = new + elif tag == 'warp': + t, op, old, new = slot(event[1]), event[2], event[3], event[4] + need(frames[t] == old, 'Warp old frame') + frames[t] = new + symbol = ('dual_K' if backward else 'K', abs(op)) + state[t] = operator(state[t], symbol, 1 if op > 0 else -1) + warps += 1 + elif tag == 'zero_buffer': + t = ('Z', event[2]) + if event[1] == 'alloc': + need(t not in zeros, 'Zero-buffer allocation') + state[t], frames[t] = {}, 1 + zeros.add(t) + else: + need(t in zeros and not state[t], 'Zero-buffer restoration') + zeros.remove(t) + else: + need(tag in ('phase', 'adapter', 'residual_adapter'), 'Known native event') + need(not zeros, 'No live private zero buffer') + need([frames[p] for p in range(n)] == word['final'], 'All native live endpoint frames') + need(all(frames[n + p] == 0 for p in range(8)), 'All owned endpoint frames') + need(all(not row for f, row in state.items() if isinstance(f, tuple)), 'All zero buffer rows') + return {p: state[p] for p in range(n + 8)}, checks, warps + + +def map_boundary(events, n): + events = deepcopy(events) + for e in events: + for key in ('target', 'source'): + if e.get(key, -1) >= 704: + e[key] += n - 704 + return events + + +def core_price(events): + out = 0 + for e in events: + if e[0] != 'scalar': + continue + op = e[1] + if op[0] in ('clear', 'copy'): + out += 2 + continue + c = Q(*op[-2:]) + a, b = abs(c.numerator), c.denominator + need(b & (b - 1) == 0, 'Dyadic core scalar') + if op[0] == 'scale': + need(a & (a - 1) == 0, 'Unit core SCALE') + out += 2 * (abs(a.bit_length() - b.bit_length()) + int(c < 0)) + else: + out += 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + return out + + +def main(): + utility_path = OLD / 'emit_raw_selected_backward.py' + need(sha256(utility_path.read_bytes()).hexdigest() == PINS['raw_utility'], 'Pinned raw boundary price and kernels') + spec = importlib.util.spec_from_file_location('raw_source', utility_path) + u = importlib.util.module_from_spec(spec) + spec.loader.exec_module(u) + core = load(HERE / 'CLEAN-J-PROGRAMS.json.gz', PINS['core']) + back = load(OLD / 'RAW-SELECTED-BACKWARD-PROGRAM.json.gz', PINS['raw_backward']) + front = load(OLD / 'RAW-SELECTED-FORWARD-PROGRAM.json.gz', PINS['raw_forward']) + selected = back['selected'] + need(selected == front['selected'] == u.A, 'Same selected ports') + ordinary = [p for p in range(112) if p not in selected] + r = [{int(p): Q(c) for p, c in row.items()} for row in core['R']] + d = {p: {a: sum(row.get(p, 0) * row.get(a, 0) for row in r) / 4 for a in selected} for p in ordinary} + d = {p: {a: c for a, c in row.items() if c} for p, row in d.items()} + b = {a: {p: d[p][a] for p in ordinary if a in d[p]} for a in selected} + need(all(sum(b[a].get(p, 0) * d[p].get(z, 0) for p in ordinary) == (13 if a == z else 0) + for a in selected for z in selected), 'Actual BD=13I') + output = {'schema': 'pr3133-raw-selected-transfer-v1', 'source_pins': PINS, 'selected_A': selected, + 'line_recipes': back['line_recipes'], 'providers': {}} + receipt = {'status': 'PASS_PR3133_RAW_SELECTED_ORDERED_OPERATOR_TRANSFER', 'providers': {}} + for provider, item in core['providers'].items(): + word = item['canonical'] + n = len(word['start']) + need(n == 632 and len(word['zero_buffers']) == 91, 'Exact provider size') + columns = u.check_recipes(back['line_recipes'], word['ports']) + identity = {p: {(p, ()): Q(1)} for p in range(n + 8)} + cleanup = [{'kind': 'clear', 'target': n + p} for p in range(1, 8)] + bpre = map_boundary(back['prefix'], n) + bswap = map_boundary(back['physical_exchange'], n) + bpost = map_boundary(back['post_lower_shear'], n) + bfix = map_boundary(back['optional_ordinary_correction'], n) + fpre = map_boundary(front['optional_input_code'], n) + fswap = map_boundary(front['input_physical_exchange'], n) + def evaluate(direction, pre, first, post): + physical = deepcopy(identity) + for p in range(112): + physical[p] = line(physical[p], p, 1) + physical = boundary(pre + first, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = line(logical[p], p, -1) + logical, checks, warps = core_replay(item['programs'][direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = line(physical[112 + p], p, -1) + physical = boundary(post + cleanup, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[112 + p] = line(logical[112 + p], p, 1) + return logical, physical, checks, warps + def expected_backward(coded, corrected): + out = deepcopy(identity) + for p in range(n, n + 8): + out[p] = {} + for a in selected: + out[a] = {key: (-12 if coded else 1) * c for key, c in line(identity[112 + a], a, -1).items()} + for p, c in b[a].items(): + add(out[a], identity[112 + p], c) + out[112 + a] = line(identity[a], a, 1) + for p in ordinary: + out[p] = dict(identity[p]) + add(out[p], identity[112 + p], -1) + if not corrected: + for a, c in d[p].items(): + add(out[p], line(identity[a], a, 1), c) + if not coded: + for a, c in d[p].items(): + add(out[p], line(identity[112 + a], a, -1), -c) + if coded: + for a, c in d[p].items(): + add(out[112 + p], line(identity[112 + a], a, -1), -c) + return out + def expected_forward(coded): + out = deepcopy(identity) + for p in range(n, n + 8): + out[p] = {} + query = {} + for a in selected: + query[a] = {} + for p, c in b[a].items(): + add(query[a], identity[p], c) + add(out[a], line(query[a], a, -1), -1) + for p in ordinary: + add(out[112 + p], identity[p]) + for a, c in d[p].items(): + add(out[112 + p], query[a], -c) + if not coded: + add(out[112 + p], line(identity[112 + a], a, -1), -c) + return out + specs = { + 'B0': ('backward', [], bswap, bpost, expected_backward(False, False), 0, 168896), + 'B8': ('backward', bpre, bswap, bpost, expected_backward(True, False), 8, 173104), + 'B16': ('backward', bpre, bswap, bpost + bfix, expected_backward(True, True), 16, 177312), + 'F0': ('forward', [], fswap, fswap, expected_forward(False), 0, 164944), + 'F8': ('forward', fpre, fswap, fswap, expected_forward(True), 8, 169152), + } + programs, reports = {}, {} + for name, (direction, pre, first, post, expected, extra, total) in specs.items(): + actual, physical, checks, warps = evaluate(direction, pre, first, post) + need(actual == expected, 'All 640 ordered-operator columns: ' + name) + need(all(actual[p] == identity[p] for p in range(224, n)), 'All arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned private outputs zero') + if direction == 'backward': + need(all(physical[112 + a] == identity[a] for a in selected), 'Selected productive Y carries original a') + native = item['programs'][direction] + scalar = core_price(native) + u.scalar_price(pre + first + post + cleanup) + need(core_price(native) == 164514 and scalar == total, 'Complete raw scalar invoice') + profile = Counter(e[5] for e in native if e[0] == 'climb') + profile[1] += extra + need(sum(rk * count for rk, count in profile.items()) == 5073 + extra, 'Raw native invoice') + need(sum(e['kind'] == 'line' for e in pre + first + post) == extra, 'Exact new line count') + programs[name] = {'orientation': direction, 'prefix': pre, 'input_exchange': first, 'retained_core': native, + 'suffix': post, 'owned_cleanup': cleanup, + 'events': pre + first + native + post + cleanup} + reports[name] = {'all_formal_input_columns': n + 8, 'arbitrary_helpers_restored': 408, 'owned_private_zero': 8, + 'private_zero_buffers_restored': 91, 'core_scalar_frame_checks': checks, 'core_warp_events': warps, + 'scalar_real_primitives': scalar, 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': 5073 + extra, 'native_children': sum(profile.values()), + 'new_rank_one_children': extra, 'new_child_wrappers': 2 * extra, + 'unused_private_clear_cost': 14, 'exact_signed_line_columns': columns} + print(provider, name, scalar, 5073 + extra, flush=True) + controls = {} + wrong = deepcopy(bpre) + for e in wrong: + if e['kind'] == 'line': + e['power'] = 1 + controls['B_wrong_Q_inverse'] = evaluate('backward', wrong, bswap, bpost)[0] != specs['B8'][4] + controls['B_missing_exchange'] = evaluate('backward', bpre, [], bpost)[0] != specs['B8'][4] + controls['B_missing_lower_shear'] = evaluate('backward', bpre, bswap, [])[0] != specs['B8'][4] + controls['F_missing_output_exchange'] = evaluate('forward', fpre, fswap, [])[0] != specs['F8'][4] + controls['F_missing_input_code'] = specs['F0'][4] != specs['F8'][4] + need(all(controls.values()), 'Meaningful raw transfer controls') + output['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = {'programs': reports, 'controls': controls} + raw = (json.dumps(output, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'RAW-SELECTED-TRANSFER.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['source_pins'] = PINS + receipt['scope'] = 'Ten exact local ordered-operator words. Q and forward/dual K alphabets are distinct; only adjacent inverse pairs cancel. All640arbitrary columns and91zero buffers checked. No complete controller, owner admission, precision or kappa claim.' + (HERE / 'RAW-SELECTED-TRANSFER.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_signed_extensions.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_signed_extensions.py new file mode 100644 index 0000000000..f5b82d975b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/emit_signed_extensions.py @@ -0,0 +1,279 @@ +#!/usr/bin/env python3 +"""Check the signed and oblique extensions on the two new local words.""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +OLD = HERE.parent / 'paired-package-review/upstream-followthrough-20261015/current-query-encoder' +CORE_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +SIGNED_PIN = '17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f' + + +def require(test, label): + if not test: + raise ValueError(label) + + +def load(path, pin): + raw = gzip.decompress(path.read_bytes()) + require(sha256(raw).hexdigest() == pin, 'Source pin: ' + str(path)) + return json.loads(raw) + + +def add(dst, src, q=Q(1)): + for k, v in src.items(): + z = dst.get(k, 0) + q * v + if z: + dst[k] = z + else: + dst.pop(k, None) + + +def product(a, b): + result = [] + for row in a: + out = {} + for j, c in row.items(): + add(out, b[j], c) + result.append(out) + return result + + +def rows(data): + return [{int(k): Q(v) for k, v in row.items()} for row in data] + + +def price(op): + if op[0] in ('clear', 'copy'): + return 2 + q = Q(*op[-2:]) + a, b = abs(q.numerator), q.denominator + require(b & (b - 1) == 0, 'Dyadic coefficient') + if op[0] == 'scale': + require(a & (a - 1) == 0, 'Unit SCALE') + return 2 * (abs(a.bit_length() - b.bit_length()) + int(q < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def replay(events, word, backward, selected): + n = len(word['start']) + fields = [('L', p) for p in range(n)] + [('C', p) for p in range(8)] + state = {f: {(f, ()): Q(1)} for f in fields} + frames = {('L', p): f for p, f in enumerate(word['start'])} + frames.update({('C', p): 0 for p in range(8)}) + zeros = set() + checks = 0 + def boundary_field(p): + require(0 <= p < n + 8, 'Boundary register') + return ('L', p) if p < n else ('C', p - n) + for pos, e in enumerate(events): + if isinstance(e, dict): + kind, endpoint = e['kind'], e['endpoint'] + t = boundary_field(e['target']) + require(endpoint in ('input', 'output'), 'Boundary endpoint') + if kind == 'clear_owned': + require(t == ('C', 0), 'Only owned C0 is cleared') + state[t] = {} + z = e['zero_frame'] + if z == 'I': + frames[t] = 0 + else: + require(z[0] == 'selected_source' and z[1] in selected, 'Selected zero frame') + frames[t] = word['start'][z[1]] if endpoint == 'input' else word['final'][112 + z[1]] + elif kind == 'physical_copy': + s = boundary_field(e['source']) + require(t == ('C', 0) and not state[t] and frames[t] == frames[s], 'Owned same-frame copy') + state[t] = dict(state[s]) + elif kind == 'intrinsic_line': + p = e['port'] + old = word['start'][p] if endpoint == 'input' else word['final'][112 + p] + require(p in selected and t == ('C', 0), 'Selected private line') + require(frames[t] == old and e['power'] == (-1 if endpoint == 'input' else 1), 'Line sign and frame') + frames[t] = 0 if endpoint == 'input' else 1 + elif kind == 'physical_add': + s = boundary_field(e['source']) + require(s == ('C', 0) and frames[t] == frames[s] == (0 if endpoint == 'input' else 1), 'Physical ADD frame') + add(state[t], state[s], Q(e['coefficient'])) + else: + raise ValueError(kind) + checks += 1 + continue + tag = e[0] + if tag == 'scalar': + op, frame = e[1:] + t = tuple(op[1]) + if op[0] == 'clear': + require(t[0] == 'C', 'Only owned C fields are cleared') + state[t], frames[t] = {}, frame + else: + require(frames[t] == frame, ('Scalar target frame', pos)) + if op[0] == 'scale': + q = Q(*op[2:]) + state[t] = {k: q * v for k, v in state[t].items()} + else: + s = tuple(op[2]) + require(frames[s] == frame and s != t, ('Scalar source frame', pos)) + if op[0] == 'copy': + require(t[0] == 'C', 'Owned COPY') + state[t] = dict(state[s]) + else: + require(op[0] == 'add', 'Known scalar') + add(state[t], state[s], Q(*op[3:])) + checks += 1 + elif tag == 'climb': + t = ('L', e[2]) + require(frames[t] == e[3], 'Native old frame') + require(len(word['frames'][e[4]]) - len(word['frames'][e[3]]) == e[5], 'Native rank') + frames[t] = e[4] + elif tag == 'warp': + t, symbol = tuple(e[1]), e[2] + require(frames[t] == e[3], 'Warp old frame') + frames[t] = e[4] + if backward: + symbol = (abs(symbol) + 1000) * (1 if symbol > 0 else -1) + state[t] = {(source, w[:-1] if w and w[-1] == -symbol else w + (symbol,)): c + for (source, w), c in state[t].items()} + elif tag == 'zero_buffer': + t = ('Z', e[2]) + if e[1] == 'alloc': + require(t not in zeros, 'Zero buffer allocated once') + state[t], frames[t] = {}, 1 + zeros.add(t) + else: + require(t in zeros and not state[t], 'Zero buffer returned') + zeros.remove(t) + else: + require(tag in ('phase', 'adapter', 'residual_adapter'), 'Known event') + require(not zeros, 'No live zero buffer') + require([frames['L', p] for p in range(n)] == word['final'], 'Live endpoint frames') + require(all(frames['C', p] == 0 for p in range(8)), 'Owned endpoint frames') + return state, checks + + +def line_checks(recipes, word, selected): + def bit_map(matrix, x): + return sum(((r & x).bit_count() & 1) << i for i, r in enumerate(matrix)) + seen, columns = set(), 0 + for item in recipes: + p, inv, rec = item['port'], item['inverse'], item['recipe'] + require((p, inv) not in seen and p in selected, 'Distinct signed line') + seen.add((p, inv)) + q = word['ports'][p] + require(q == item['label'] and rec['rank'] == 1, 'Actual native line') + for side in ('left', 'right'): + r = rec[side] + require(not r['phase'] and not any(r['linear_Z4'] + r['quadratic_rows']), 'Exact wrapper phase') + left, right = rec['left'], rec['right'] + alpha, beta = (Q(1, 2), Q(1, 2)), (Q(1, 2), Q(-1, 2)) + for x in range(512): + y = bit_map(right['matrix_rows'], x) ^ right['offset'] + actual = {bit_map(left['matrix_rows'], y) ^ left['offset']: alpha, + bit_map(left['matrix_rows'], y ^ 1) ^ left['offset']: beta} + expected = {x: beta if inv else alpha, x ^ q: alpha if inv else beta} + require(actual == expected, 'Signed line physical kernel') + columns += 1 + require(seen == {(p, inv) for p in selected for inv in (False, True)}, 'All signed recipes') + return columns + + +def main(): + core = load(HERE / 'CLEAN-J-PROGRAMS.json.gz', CORE_PIN) + old = load(OLD / 'UNIFORM-SIGNED-PROGRAMS.json.gz', SIGNED_PIN) + s, a = rows(old['signed_S']), rows(old['inverse_S']) + selected = old['selected_A'] + eye = [{p: Q(1)} for p in range(112)] + require(product(s, a) == product(a, s) == eye, 'Both inverse orders') + r = rows(core['R']) + k = [{j: row[p] / 4 for j, row in enumerate(r) if p in row} for p in range(112)] + require(product(r, k) == [{j: Q(14)} for j in range(8)], 'Actual full query Gram matrix') + derived = deepcopy(eye) + for p, row in enumerate(product(k, r)): + add(derived[p], row, -1) + for p in selected: + add(derived[p], {p: Q(1)}, -1) + require(derived == s, 'Actual R gives signed S') + ka = [row if p in selected else {} for p, row in enumerate(k)] + require(product(r, ka) == [{j: Q(1)} for j in range(8)], 'Selected unit section') + projection = product(ka, r) + negative_pi = [{p: Q(-1)} if p in selected else {} for p in range(112)] + require(product(projection, projection) == projection, 'Oblique projection') + require(product(projection, a) == negative_pi, 'P S inverse equals minus Pi') + result = {'schema': 'pr3133-signed-local-extensions-v1', 'source_pins': {'core': CORE_PIN, 'signed': SIGNED_PIN}, + 'selected_A': selected, 'S': old['signed_S'], 'inverse_S': old['inverse_S'], + 'line_recipes': old['line_recipes'], 'providers': {}} + receipt = {'status': 'PASS_PR3133_SIGNED_AND_OBLIQUE_LOCAL_EXTENSIONS', 'providers': {}} + for provider, item in core['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + require(n == 632 and len(word['zero_buffers']) == 91, 'Exact new core') + kernel_columns = line_checks(old['line_recipes'], word, selected) + recs, reports = {}, {} + for name in ('forward', 'backward', 'coded_forward', 'coded_backward', 'oblique_backward'): + source_name = 'coded_backward' if name == 'oblique_backward' else name + source = deepcopy(old['programs'][source_name]) + before = source.get('input_code', []) + source['prefix'] + after = source['suffix'] + source.get('output_code', []) + if name == 'oblique_backward': + before = deepcopy(old['programs']['forward']['prefix']) + before + for e in before + after: + if isinstance(e, dict): + if e['target'] >= 704: + e['target'] += n - 704 + if e.get('source', -1) >= 704: + e['source'] += n - 704 + direction = source['core_orientation'] + retained = item['programs'][direction] + events = before + retained + after + state, checks = replay(events, word, direction == 'backward', selected) + expected = {('L', p): {(('L', p), ()): Q(1)} for p in range(n)} + expected.update({('C', p): {(('C', p), ()): Q(1)} for p in range(8)}) + expected['C', 0] = {} + for p in range(112): + if name.endswith('forward'): + if name.startswith('coded'): + expected['L', 112 + p] = {(('L', 112 + j), ()): c for j, c in s[p].items()} + add(expected['L', 112 + p], {(('L', j), ()): c for j, c in s[p].items()}) + elif name == 'backward': + add(expected['L', p], {(('L', 112 + j), ()): c for j, c in s[p].items()}, -1) + else: + expected['L', p] = {(('L', j), ()): c for j, c in a[p].items()} + add(expected['L', p], {(('L', 112 + p), ()): Q(-1)}) + if name == 'oblique_backward' and p in selected: + add(expected['L', p], {(('L', p), ()): Q(1)}) + add(expected['L', 112 + p], {(('L', p), ()): Q(-1)}) + require(all(state[f] == row for f, row in expected.items()), 'All arbitrary input columns: ' + name) + require(all(not row for f, row in state.items() if f[0] == 'Z'), 'All zero buffer columns') + counts = Counter(e['kind'] for e in events if isinstance(e, dict)) + scalar = sum(price(e[1]) for e in events if isinstance(e, list) and e[0] == 'scalar') + scalar += 2 * (counts['clear_owned'] + counts['physical_copy']) + 8 * counts['physical_add'] + profile = Counter(e[5] for e in retained if e[0] == 'climb') + profile[1] += counts['intrinsic_line'] + mass = sum(rank * count for rank, count in profile.items()) + require(scalar == (172050 if name == 'oblique_backward' else 171938 if name.startswith('coded') else 164626), 'Full scalar invoice') + require(mass == (5089 if name == 'oblique_backward' else 5081), 'Full rank invoice') + recs[name] = {'orientation': direction, 'prefix': before, 'core': retained, 'suffix': after, 'events': events} + reports[name] = {'arbitrary_live_inputs': n, 'arbitrary_C_inputs': 8, 'restored_helpers': n - 224, + 'returned_zero_buffers': 91, 'C0_exit': 'zero', 'C1_to_C7_exit': 'identity by non-use', + 'scalar_frame_checks': checks, 'scalar_real_primitives': scalar, 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': mass, 'native_children': sum(profile.values()), 'new_line_children': counts['intrinsic_line'], + 'new_line_wrappers': 2 * counts['intrinsic_line'], 'exact_signed_line_columns': kernel_columns} + print(provider, name, scalar, mass, flush=True) + result['providers'][provider] = {'canonical': word, 'programs': recs} + receipt['providers'][provider] = reports + raw = (json.dumps(result, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'SIGNED-EXTENSIONS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = 'Ten complete local words; all 632 live and eight private arbitrary input columns; all 91 zero buffers. Exact signed line kernels checked. Full retained native phase review, owner allocation, private hosting, finite precision and complete supplier remain separate obligations.' + (HERE / 'SIGNED-EXTENSIONS.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FORWARD-EIGHT.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FORWARD-EIGHT.md new file mode 100644 index 0000000000..03dd3760b0 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FORWARD-EIGHT.md @@ -0,0 +1,183 @@ +# A direct eight-port phase suffix + +The signed eight-port balanced forward word has a useful exact suffix. +It changes the complete X output to `(Qh,k)`. It retains the physical +selected Y value `q d` on arbitrary local input `x=(h,k), y=(d,v)`. +The suffix does not require a clean d or a query from an earlier view. + +The complete local word costs 92,784 real scalar primitives and has +native rank mass 5,081 in 3,515 children. Relative to the preceding word, +it adds 1,312 scalar primitives, eight rank-one children, and sixteen +pure-permutation wrappers. It uses no new owned or private field. The +same suffix on the raw forward word costs 89,088 at the same native +profile. The payload contains both words for both providers. + +These are local invoices. The new child calls and wrappers remain in +the invoice. A global hosting schedule and the full supplier cost are +not established here. + +## Exact map on arbitrary current data + +Use the source partition `S=[0,7,15,36,42,46,79,89]` and its complement U. +Write the exact response as `J=[[L,B],[D,H]]`. Let Q be the diagonal +selected port operator, and let `q=Q^-1`. The input convention is +`X=diag(Q_p)x`, `Y=y`. Completed physical arrays have a common FULL +factor F; we remove that factor in the formulas below. The completed +logical Y convention includes a final multiplication by `diag(Q_p)`. + +The preceding balanced forward word gives + +```text +physical X_S = h + q(L q d + B k), +physical X_U = k, +physical Y_S = q d, +logical Y_U = H(v+k) + D q d. +``` + +Apply positive Q_p directly to each current X_p with p in S. Then apply +the following scalar subtraction at the same completed view: + +```text +X_S <- X_S - L Y_S - B X_U. +``` + +Every source in this subtraction is current physical data. The first +step cancels only the adjacent same-port product `Q_p q_p`. The result +of both steps is + +```text +physical X_S = Q h, +physical X_U = k, +physical Y_S = q d, +logical Y_U = H(v+k) + D q d. +``` + +In particular, d is arbitrary. The subtraction uses its actual physical +value `q d`, not d and not an assumed clean original-source value. No Q +operator is moved through L, B, D, or H. If the initial ordinary H gauge +is omitted, the same proof gives `Y_U=v+Hk+D q d`. This is the raw variant. + +For an algebraic composition with the source-diagonal backward map, +the source coefficient of X is consequently `(b,-v)`: the selected +coefficient q b is multiplied by Q, and ordinary X is unchanged. This +statement concerns the displayed endpoint maps. It does not supply a +routed physical transition between two different calls. + +## Exact direct live-field native lift + +On a spatial array, write `T_v f(z)=f(z+v)` over the nine binary +coordinates. The actual positive intrinsic line is + +`Q_v = ((1+i) I + (1-i) T_v)/2`. + +All binary translations commute. FULL is the product of the nine +coordinate Q operators. Thus `Q_v F=F Q_v` exactly, including the phase. +This identity permits a direct application to a current completed X +field. If that array is Fw, the result is `F Q_v w`. There is no copy to +C0, no erase of a data-dependent field, and no unpriced field exchange. + +Choose an invertible binary matrix G whose first column is the actual +port label v. Let P_G permute spatial positions by G. Then + +`Q_v=P_G Q_e0 P_G^-1`. + +The emitter stores both binary matrices, with zero translation, zero +quadratic and linear phase, and zero global phase. It emits the right +permutation first, one rank-one child, and the left permutation last. +All eight actual port labels are read from both canonical providers: + +```text +port: 0 7 15 36 42 46 79 89 +label: 11 21 265 146 322 140 502 445 +``` + +The local child contract is the exact rank-one spatial operation on the +current target, with all other fields preserved. This is the same native +operation type used in the source. Each target is its selected live X +field at the completed view. The calls are serial. The emitted suffix +does not use any helper, private buffer, or owned field. It adds eight +child invocations; it does not claim that their recursive workspace or +global hosting is free. That caller obligation remains explicit. + +The checker verifies all 512 spatial basis columns for each recipe. It +also checks the Pauli action and one exact Gaussian state for the FULL +commutation. The latter checks both the Clifford operator and its global +phase. The formulas above give the general proof. A negative-line +replacement fails the phase check even though its spatial support agrees. + +## Literal scalar and native invoices + +The selected response rows contain 160 nonzero half-coefficients. Of +these, sixteen are in L and 144 are in B. A complex half-coefficient ADD +costs ten real scalar primitives in the retained model. Thus the direct +subtraction costs 1,600. A smaller word scales each target by two, +subtracts its twenty signed unit sources, and scales it by one half. +The sources are selected Y and ordinary X, so the target changes do not +change any source. Each row costs `2+20*8+2=164`, for a total of 1,312. +The checker compares the two subtraction maps on all 640 columns. +No scalar preparation is needed by the pure permutation recipes. + +The retained balanced word costs 91,472. The raw word costs 87,776. +Adding the scaled subtraction gives 92,784 and 89,088. Each native profile is + +`2441 H1 + 724 H2 + 228 H3 + 102 H4 + 20 H5`. + +Its rank mass is 5,081 and it has 3,515 children. The sixteen new +permutation wrappers are serialized in full; they are not included in +the scalar primitive subtotal. Their use in a global access and +descriptor schedule remains a separate supplier obligation. + +## Verification and source credit + +The signed source freeze is +`controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json`, +SHA-256 `c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1`. +The preceding physical-transfer freeze is +`new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json`, +SHA-256 `84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1`. +The checker validates every artifact in both freezes. All old native +events are retained exactly. Their earlier orientation-specific phase +review is a pinned dependency; it is not repeated here. + +For each of four complete words, the replay checks all 640 ordered +input columns, including arbitrary selected d, 408 arbitrary helpers, +eight arbitrary owned inputs, and all 91 private zero-buffer lifetimes. +Helpers return unchanged, private buffers return zero, and all owned +fields return zero. All boundary and core scalar frames are checked. +The free-operator replay permits only adjacent inverse cancellation, so +it cannot silently commute different port Q operators through J. + +Three complete-boundary negative controls omit the positive line, use +the inverse line, or omit the scalar subtraction. Each control fails. +The eight spatial line-sign controls also fail as required. + +Run with a new output directory: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight.py --out-dir /tmp/forward-eight-normal +python3 -O work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight.py --out-dir /tmp/forward-eight-optimized +``` + +Both runs must end with `PASS_DIRECT_SELECTED_EIGHT_PHASE_SUFFIX` and +decompressed payload hash +`f2369cd8928d3c6fe64ec87b18e5993db167ef362f326e173a752bbb8fe64de3`. +The normal and optimized payloads and receipts must be byte-identical. +The first direct-subtraction implementation and its two passing runs +are preserved under `emit_forward_eight_direct.py`, `run-normal`, and +`run-optimized`. Those words cost 93,072 and 89,376. The final scaled +implementation is stored under `scaled-normal` and `scaled-optimized`. +Independent review of this extension is a separate artifact. + +The controller lane proposed this suffix and supplied the signed +response. The previous transfer supplied its physical boundary. The +native-recipe lane identified the direct-target and wrapper obligations. +The phase interpreter comes from the earlier independent native review. +The direct permutation lift is also the line mechanism used in prior +coherent-port work. This packet gives its current live-data binding and +the complete new replay. This is AI-assisted research. + +Routed composition, global child hosting, exterior phase, recursive +precision, and the full supplier invoice remain open. No complete kappa +claim follows. Do not create a PR, commit, or push. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FREEZE.json new file mode 100644 index 0000000000..1a763f7a57 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/FREEZE.json @@ -0,0 +1,23 @@ +{ + "artifacts": { + "FORWARD-EIGHT.md": "ee7a6daaeece2bc78547d84aadf76a6a6618596b9ce0874bbcdb20fd30a85d19", + "HANDOFF.md": "347e509cfe93749f9e3bc19d8465abb80b6a96c02270686c8bb0de6071175e9e", + "emit_forward_eight.py": "134b2226c869c265c2fbd5355ae8070a35419d9318705595d5410e9c800ab20e", + "emit_forward_eight_direct.py": "104a899cf9f24413fa044b6b3107fd235bf4c260c54c62261d1e2d8544048b6c", + "run-normal/FORWARD-EIGHT-PROGRAMS.json.gz": "38b920ac50bdb54c7dcc987b69281f6754af185372af8e8f861be6ead6d95405", + "run-normal/FORWARD-EIGHT-RECEIPT.json": "5073daa20a3d5dd106f1b1816d37fb0ec21e80bfddb3fbe3c73e16396402ba50", + "run-optimized/FORWARD-EIGHT-PROGRAMS.json.gz": "38b920ac50bdb54c7dcc987b69281f6754af185372af8e8f861be6ead6d95405", + "run-optimized/FORWARD-EIGHT-RECEIPT.json": "5073daa20a3d5dd106f1b1816d37fb0ec21e80bfddb3fbe3c73e16396402ba50", + "scaled-normal/FORWARD-EIGHT-PROGRAMS.json.gz": "34f70eb874214e875e567b0a44064b2c695b320a82762797136d67b946009816", + "scaled-normal/FORWARD-EIGHT-RECEIPT.json": "cd9df5146974f7f9c2098d575f10e41d54076ae35341091d593c6058bfdcdc87", + "scaled-optimized/FORWARD-EIGHT-PROGRAMS.json.gz": "34f70eb874214e875e567b0a44064b2c695b320a82762797136d67b946009816", + "scaled-optimized/FORWARD-EIGHT-RECEIPT.json": "cd9df5146974f7f9c2098d575f10e41d54076ae35341091d593c6058bfdcdc87" + }, + "payload_decompressed_sha256": { + "run-normal": "68c64bd759ddcb7eb6ae734abee0ef0f1a1a270b16047e62ab31b77715f2e11f", + "scaled-normal": "f2369cd8928d3c6fe64ec87b18e5993db167ef362f326e173a752bbb8fe64de3" + }, + "schema": "direct-selected-eight-phase-suffix-freeze-v1", + "scope": "Local direct live-X phase kernels and complete forward maps on arbitrary selected Y. Eight new H1 calls and sixteen wrappers are explicit. Independent review and global hosting are separate. No complete supplier or kappa claim.", + "validation": "Normal and python -O payloads and receipts are byte-identical in both implementations. Four complete words pass both provider maps, all 640 ordered inputs, helper and private restoration, owned zero outputs, frames and costs. Eight new native recipes pass all 512 spatial columns and exact FULL commutation." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/HANDOFF.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/HANDOFF.md new file mode 100644 index 0000000000..a07e6ccf70 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/HANDOFF.md @@ -0,0 +1,39 @@ +# Eight-port forward phase suffix: continuation + +The final scaled word costs 92,784 scalar primitives after balanced F, +or 89,088 after raw F. It has native rank mass 5,081 and 3,515 children. +The added bill is 1,312 scalars, eight rank-one children, and sixteen +pure-permutation wrappers. It adds no owned or private field. + +The completed map is `X=(Qh,k)`, physical selected `Y=q d`. Ordinary +logical Y is `H(v+k)+D q d` in the balanced word, and `v+Hk+D q d` in +the raw word. All statements hold for arbitrary d. The new source access +is limited to current selected Y and current ordinary X at the completed +view. No earlier view or cached query is used. + +The exact direct native recipe acts on the selected live X field. +For each actual port label v, its two pure permutations send the first +child axis to v and back. It has one H1 child. The proof establishes +exact commutation with FULL from the translation formula for Q_v. +Every recipe passes all 512 spatial basis columns and an exact phase +check. Retain both wrappers when the caller is assembled. + +The first direct-subtraction implementation costs 288 more scalars. Its +source and both passing runs remain here. The final implementation +scales each selected target around its signed unit ADDs. It is compared +with the direct subtraction on all 640 columns. Both complete variants +pass both providers, all helper/private restoration checks, all scalar +frames, and every owned zero output. Normal and optimized runs are +byte-identical for both implementations. Independent review is pending +at freeze time. + +The source-diagonal B map followed algebraically by this F map has +borrowed-X coefficient `(b,-v)`. A routed physical composition has not +been emitted here. The controller lane owns that step. The new child +hosting, descriptor schedule, exterior phase, recursive precision, and +full supplier invoice remain open. There is no complete kappa claim. + +Do not modify frozen files. Use a new output directory for reproduction. +Do not create a PR, commit, or push. The user must explicitly approve a +PR. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight.py new file mode 100644 index 0000000000..105a508b1f --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight.py @@ -0,0 +1,234 @@ +#!/usr/bin/env python3 +"""Emit the exact selected-X phase suffix on the signed eight-port core.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parent +LANES = LANE.parent +REDUCED = LANE / 'bipartite-eight-transfer-20261018' +SOURCE = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +PINS = { + 'reduced_freeze': '84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1', + 'reduced_payload': '740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d', + 'source_freeze': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'source_payload': '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee', + 'native_replay': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', + 'scalar_tools': 'a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2', + 'phase_interpreter': '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b', +} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Pinned input: ' + str(path)) + return json.loads(raw) + + +def module(name, path, pin): + need(sha256(path.read_bytes()).hexdigest() == pin, 'Pinned tool: ' + str(path)) + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def permutation(matrix): + return {'matrix_rows': list(matrix), 'offset': 0, 'quadratic_rows': [0] * 9, + 'linear_Z4': [0] * 9, 'phase': 0} + + +def line_recipe(port, label): + matrix = phase.transpose(phase.extend((label,), 9)) + inverse = phase.inverse(matrix) + need(phase.mul(matrix, 1) == label, 'The first child axis is the actual port line') + recipe = {'rank': 1, 'left': permutation(matrix), 'right': permutation(inverse)} + actual = phase.recipe(recipe) + target = (('C', label, 1),) + phase.equal(actual, target, 'Direct live-field positive line') + for source in range(512): + expected = [(0, 0)] * 512 + expected[source], expected[source ^ label] = (1, 1), (1, -1) + need(phase.state(actual, source) == (expected, 1), 'Every exact Gaussian spatial column') + full = phase.fourier(9) + phase.equal(full + actual, actual + full, 'Exact FULL commutation including phase') + # A wrong inverse line has the same support, but fails its Gaussian phase. + need(phase.state(actual) != phase.state((('C', label, -1),)), 'Line-sign negative control') + return {'port': port, 'label': label, 'power': 1, 'recipe': recipe, + 'exact_circuit': [['C', label, 1]], 'spatial_columns': 512, + 'binding': 'Apply directly to current completed X at common FULL. No owned field is used.'} + + +def suffix_boundary(events, state, n, selected, recipes): + state = deepcopy(state) + scalar = [] + for event in events: + if event['kind'] != 'data_line': + scalar.append(event) + continue + need(not scalar, 'All direct children precede the scalar subtraction') + port = event['port'] + need(port in selected and event['target'] == port and event['power'] == 1, + 'The direct child acts only on its current selected X field') + need(event['frame'] == 1 and event['recipe'] == recipes[port]['recipe'], 'Exact FULL recipe binding') + state[port] = replay.line(state[port], port, 1) + return replay.boundary(scalar, state, n) + + +def expected_map(response, selected, identity, balanced): + output = deepcopy(identity) + for p in range(112): + if p in selected: + output[p] = replay.line(identity[p], p, 1) + continue + output[112 + p] = {} if balanced else dict(identity[112 + p]) + for q, value in response[p].items(): + if q in selected: + replay.add(output[112 + p], replay.line(identity[112 + q], q, -1), value) + else: + replay.add(output[112 + p], identity[q], value) + if balanced: + replay.add(output[112 + p], identity[112 + q], value) + return output + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out-dir', type=Path, required=True) + args = parser.parse_args() + need(not args.out_dir.exists(), 'Use a new output directory') + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB of free space') + for directory, key in ((REDUCED, 'reduced_freeze'), (SOURCE, 'source_freeze')): + freeze = read(directory / 'FREEZE.json', PINS[key]) + for name, pin in freeze['artifacts'].items(): + need(sha256((directory / name).read_bytes()).hexdigest() == pin, 'Frozen source file: ' + name) + source = read(SOURCE / 'BIPARTITE-EIGHT-PROGRAM.json.gz', PINS['source_payload'], True) + reduced = read(REDUCED / 'run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz', PINS['reduced_payload'], True) + selected = source['selected_ports'] + need(selected == [0, 7, 15, 36, 42, 46, 79, 89], 'Current selected ports') + response = [{int(q): F(value) for q, value in row.items()} for row in source['response']] + ordinary = sorted(set(range(112)) - set(selected)) + labels = source['providers']['base']['canonical']['ports'] + recipes = {p: line_recipe(p, labels[p]) for p in selected} + native = [{'kind': 'data_line', 'target': p, 'port': p, 'power': 1, 'frame': 1, + 'recipe': recipes[p]['recipe']} for p in selected] + direct = [scalar.scalar('add', p, 112 + q if q in selected else q, -value, 1) + for p in selected for q, value in sorted(response[p].items())] + need(len(direct) == 160 and scalar.price(direct) == 1600, 'Literal half-coefficient subtraction') + need(Counter(F(e['coefficient']) for e in direct) == {F(-1, 2): 88, F(1, 2): 72}, 'Signed subtraction census') + subtraction = [] + for p in selected: + subtraction.append(scalar.scalar('scale', p, coefficient=F(2), frame=1)) + subtraction += [scalar.scalar('add', p, 112 + q if q in selected else q, -2 * value, 1) + for q, value in sorted(response[p].items())] + subtraction.append(scalar.scalar('scale', p, coefficient=F(1, 2), frame=1)) + need(len(subtraction) == 176 and scalar.price(subtraction) == 1312, 'Scaled-target subtraction price') + identity640 = {p: {(p, ()): F(1)} for p in range(640)} + need(replay.boundary(subtraction, identity640, 632) == replay.boundary(direct, identity640, 632), + 'Scaled and direct subtraction agree on every arbitrary input') + suffix = native + subtraction + packet = {'schema': 'direct-selected-eight-phase-suffix-v1', 'source_pins': PINS, + 'selected_S': selected, 'ordinary_U': ordinary, + 'line_recipes': [recipes[p] for p in selected], 'suffix': suffix, + 'direct_subtraction': direct, 'scaled_subtraction': subtraction, 'providers': {}} + receipt = {'status': 'PASS_DIRECT_SELECTED_EIGHT_PHASE_SUFFIX', 'source_pins': PINS, + 'exact_spatial_columns': 8 * 512, 'exact_FULL_commutations': 8, + 'line_sign_controls': 8, 'providers': {}} + for provider, item in reduced['families']['eight']['providers'].items(): + word = item['canonical'] + n = len(word['start']) + need(n == 632 and word == source['providers'][provider]['canonical'], 'Exact native geometry') + need(word['ports'] == labels, 'Both provider intrinsic lines agree') + identity = {p: {(p, ()): F(1)} for p in range(n + 8)} + programs, reports = {}, {} + for name in ('raw_forward', 'balanced_forward'): + original = item['programs'][name] + need(original['retained_core'] == source['providers'][provider]['programs']['forward'], 'Unchanged forward native core') + prefix = original['prefix'] + original['input_exchange'] + scalar.check_frames(prefix, 0, n) + scalar.check_frames(original['suffix'] + subtraction, 1, n) + physical = deepcopy(identity) + for p in range(112): + physical[p] = replay.line(physical[p], p, 1) + physical = replay.boundary(prefix, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = replay.line(logical[p], p, -1) + logical, checks, warps = replay.core_replay(original['retained_core'], logical, word, False) + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = replay.line(physical[112 + p], p, -1) + physical = replay.boundary(original['suffix'], physical, n) + before = deepcopy(physical) + physical = suffix_boundary(suffix, physical, n, selected, recipes) + actual = deepcopy(physical) + for p in range(112): + actual[112 + p] = replay.line(actual[112 + p], p, 1) + expected = expected_map(response, selected, identity, name == 'balanced_forward') + for p in range(n, n + 8): + expected[p] = {} + need(actual == expected, 'All640 ordered columns, arbitrary selected d: ' + provider + ' ' + name) + need(all(physical[112 + p] == replay.line(identity[112 + p], p, -1) for p in selected), 'Physical selected Y remains q d') + need(all(actual[p] == identity[p] for p in range(224, n)), 'Arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned fields zero') + need(replay.boundary(subtraction, before, n) != physical, 'Omitted positive line rejects') + wrong = deepcopy(before) + for p in selected: + wrong[p] = replay.line(wrong[p], p, -1) + need(replay.boundary(subtraction, wrong, n) != physical, 'Inverse line rejects at the complete boundary') + need(suffix_boundary(native, before, n, selected, recipes) != physical, 'Omitted row subtraction rejects') + profile = Counter(e[5] for e in original['retained_core'] if e[0] == 'climb') + profile[1] += len(native) + need(dict(profile) == {1: 2441, 2: 724, 3: 228, 4: 102, 5: 20}, 'Full native profile') + bill = replay.core_price(original['retained_core']) + scalar.price(prefix + original['suffix'] + subtraction) + need(bill == (92784 if name == 'balanced_forward' else 89088), 'Complete scalar invoice') + programs[name] = {'prefix': original['prefix'], 'input_exchange': original['input_exchange'], + 'retained_core': original['retained_core'], 'output_exchange': original['suffix'], + 'phase_suffix': suffix, + 'events': prefix + original['retained_core'] + original['suffix'] + suffix} + reports[name] = {'scalar_real_primitives': bill, 'native_rank_mass': 5081, + 'native_children': 3515, 'new_rank_one_children': 8, + 'new_pure_permutation_wrappers': 16, 'new_owned_fields': 0, + 'new_private_fields': 0, 'new_scalar_primitives': 1312, + 'direct_subtraction_primitives': 1600, 'saved_scalar_primitives': 288, + 'native_profile': dict(sorted(profile.items())), 'all_input_columns': 640, + 'arbitrary_helpers_restored': 408, 'private_zero_buffers_restored': 91, + 'owned_final_zero': 8, 'core_scalar_frame_checks': checks, + 'core_warp_events': warps, 'boundary_negative_controls': 3} + print(provider, name, bill, 5081, flush=True) + packet['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = reports + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Exact local physical kernels and complete ordered forward maps. ' + 'Eight additional H1 calls and sixteen pure-permutation wrappers are retained. ' + 'Global child hosting, routed composition, exterior phase, precision and the supplier invoice remain open.') + args.out_dir.mkdir(parents=True) + (args.out_dir / 'FORWARD-EIGHT-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (args.out_dir / 'FORWARD-EIGHT-RECEIPT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + replay = module('f8_native_replay', LANE / 'emit_raw_selected.py', PINS['native_replay']) + scalar = module('f8_scalar_tools', LANE / 'structured-centres-transfer-20261018/emit_structured_transfer.py', PINS['scalar_tools']) + phase = module('f8_phase_interpreter', LANES / 'interface-proof/verify_native_lift.py', PINS['phase_interpreter']) + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight_direct.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight_direct.py new file mode 100644 index 0000000000..acc10bdc9e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/emit_forward_eight_direct.py @@ -0,0 +1,222 @@ +#!/usr/bin/env python3 +"""Emit the exact selected-X phase suffix on the signed eight-port core.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parent +LANES = LANE.parent +REDUCED = LANE / 'bipartite-eight-transfer-20261018' +SOURCE = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +PINS = { + 'reduced_freeze': '84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1', + 'reduced_payload': '740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d', + 'source_freeze': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'source_payload': '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee', + 'native_replay': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', + 'scalar_tools': 'a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2', + 'phase_interpreter': '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b', +} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Pinned input: ' + str(path)) + return json.loads(raw) + + +def module(name, path, pin): + need(sha256(path.read_bytes()).hexdigest() == pin, 'Pinned tool: ' + str(path)) + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def permutation(matrix): + return {'matrix_rows': list(matrix), 'offset': 0, 'quadratic_rows': [0] * 9, + 'linear_Z4': [0] * 9, 'phase': 0} + + +def line_recipe(port, label): + matrix = phase.transpose(phase.extend((label,), 9)) + inverse = phase.inverse(matrix) + need(phase.mul(matrix, 1) == label, 'The first child axis is the actual port line') + recipe = {'rank': 1, 'left': permutation(matrix), 'right': permutation(inverse)} + actual = phase.recipe(recipe) + target = (('C', label, 1),) + phase.equal(actual, target, 'Direct live-field positive line') + for source in range(512): + expected = [(0, 0)] * 512 + expected[source], expected[source ^ label] = (1, 1), (1, -1) + need(phase.state(actual, source) == (expected, 1), 'Every exact Gaussian spatial column') + full = phase.fourier(9) + phase.equal(full + actual, actual + full, 'Exact FULL commutation including phase') + # A wrong inverse line has the same support, but fails its Gaussian phase. + need(phase.state(actual) != phase.state((('C', label, -1),)), 'Line-sign negative control') + return {'port': port, 'label': label, 'power': 1, 'recipe': recipe, + 'exact_circuit': [['C', label, 1]], 'spatial_columns': 512, + 'binding': 'Apply directly to current completed X at common FULL. No owned field is used.'} + + +def suffix_boundary(events, state, n, selected, recipes): + state = deepcopy(state) + scalar = [] + for event in events: + if event['kind'] != 'data_line': + scalar.append(event) + continue + need(not scalar, 'All direct children precede the scalar subtraction') + port = event['port'] + need(port in selected and event['target'] == port and event['power'] == 1, + 'The direct child acts only on its current selected X field') + need(event['frame'] == 1 and event['recipe'] == recipes[port]['recipe'], 'Exact FULL recipe binding') + state[port] = replay.line(state[port], port, 1) + return replay.boundary(scalar, state, n) + + +def expected_map(response, selected, identity, balanced): + output = deepcopy(identity) + for p in range(112): + if p in selected: + output[p] = replay.line(identity[p], p, 1) + continue + output[112 + p] = {} if balanced else dict(identity[112 + p]) + for q, value in response[p].items(): + if q in selected: + replay.add(output[112 + p], replay.line(identity[112 + q], q, -1), value) + else: + replay.add(output[112 + p], identity[q], value) + if balanced: + replay.add(output[112 + p], identity[112 + q], value) + return output + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out-dir', type=Path, required=True) + args = parser.parse_args() + need(not args.out_dir.exists(), 'Use a new output directory') + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB of free space') + for directory, key in ((REDUCED, 'reduced_freeze'), (SOURCE, 'source_freeze')): + freeze = read(directory / 'FREEZE.json', PINS[key]) + for name, pin in freeze['artifacts'].items(): + need(sha256((directory / name).read_bytes()).hexdigest() == pin, 'Frozen source file: ' + name) + source = read(SOURCE / 'BIPARTITE-EIGHT-PROGRAM.json.gz', PINS['source_payload'], True) + reduced = read(REDUCED / 'run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz', PINS['reduced_payload'], True) + selected = source['selected_ports'] + need(selected == [0, 7, 15, 36, 42, 46, 79, 89], 'Current selected ports') + response = [{int(q): F(value) for q, value in row.items()} for row in source['response']] + ordinary = sorted(set(range(112)) - set(selected)) + labels = source['providers']['base']['canonical']['ports'] + recipes = {p: line_recipe(p, labels[p]) for p in selected} + native = [{'kind': 'data_line', 'target': p, 'port': p, 'power': 1, 'frame': 1, + 'recipe': recipes[p]['recipe']} for p in selected] + subtraction = [scalar.scalar('add', p, 112 + q if q in selected else q, -value, 1) + for p in selected for q, value in sorted(response[p].items())] + need(len(subtraction) == 160 and scalar.price(subtraction) == 1600, 'Literal half-coefficient subtraction') + need(Counter(F(e['coefficient']) for e in subtraction) == {F(-1, 2): 88, F(1, 2): 72}, 'Signed subtraction census') + suffix = native + subtraction + packet = {'schema': 'direct-selected-eight-phase-suffix-v1', 'source_pins': PINS, + 'selected_S': selected, 'ordinary_U': ordinary, + 'line_recipes': [recipes[p] for p in selected], 'suffix': suffix, 'providers': {}} + receipt = {'status': 'PASS_DIRECT_SELECTED_EIGHT_PHASE_SUFFIX', 'source_pins': PINS, + 'exact_spatial_columns': 8 * 512, 'exact_FULL_commutations': 8, + 'line_sign_controls': 8, 'providers': {}} + for provider, item in reduced['families']['eight']['providers'].items(): + word = item['canonical'] + n = len(word['start']) + need(n == 632 and word == source['providers'][provider]['canonical'], 'Exact native geometry') + need(word['ports'] == labels, 'Both provider intrinsic lines agree') + identity = {p: {(p, ()): F(1)} for p in range(n + 8)} + programs, reports = {}, {} + for name in ('raw_forward', 'balanced_forward'): + original = item['programs'][name] + need(original['retained_core'] == source['providers'][provider]['programs']['forward'], 'Unchanged forward native core') + prefix = original['prefix'] + original['input_exchange'] + scalar.check_frames(prefix, 0, n) + scalar.check_frames(original['suffix'] + subtraction, 1, n) + physical = deepcopy(identity) + for p in range(112): + physical[p] = replay.line(physical[p], p, 1) + physical = replay.boundary(prefix, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = replay.line(logical[p], p, -1) + logical, checks, warps = replay.core_replay(original['retained_core'], logical, word, False) + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = replay.line(physical[112 + p], p, -1) + physical = replay.boundary(original['suffix'], physical, n) + before = deepcopy(physical) + physical = suffix_boundary(suffix, physical, n, selected, recipes) + actual = deepcopy(physical) + for p in range(112): + actual[112 + p] = replay.line(actual[112 + p], p, 1) + expected = expected_map(response, selected, identity, name == 'balanced_forward') + for p in range(n, n + 8): + expected[p] = {} + need(actual == expected, 'All640 ordered columns, arbitrary selected d: ' + provider + ' ' + name) + need(all(physical[112 + p] == replay.line(identity[112 + p], p, -1) for p in selected), 'Physical selected Y remains q d') + need(all(actual[p] == identity[p] for p in range(224, n)), 'Arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned fields zero') + need(replay.boundary(subtraction, before, n) != physical, 'Omitted positive line rejects') + wrong = deepcopy(before) + for p in selected: + wrong[p] = replay.line(wrong[p], p, -1) + need(replay.boundary(subtraction, wrong, n) != physical, 'Inverse line rejects at the complete boundary') + need(suffix_boundary(native, before, n, selected, recipes) != physical, 'Omitted row subtraction rejects') + profile = Counter(e[5] for e in original['retained_core'] if e[0] == 'climb') + profile[1] += len(native) + need(dict(profile) == {1: 2441, 2: 724, 3: 228, 4: 102, 5: 20}, 'Full native profile') + bill = replay.core_price(original['retained_core']) + scalar.price(prefix + original['suffix'] + subtraction) + need(bill == (93072 if name == 'balanced_forward' else 89376), 'Complete scalar invoice') + programs[name] = {'prefix': original['prefix'], 'input_exchange': original['input_exchange'], + 'retained_core': original['retained_core'], 'output_exchange': original['suffix'], + 'phase_suffix': suffix, + 'events': prefix + original['retained_core'] + original['suffix'] + suffix} + reports[name] = {'scalar_real_primitives': bill, 'native_rank_mass': 5081, + 'native_children': 3515, 'new_rank_one_children': 8, + 'new_pure_permutation_wrappers': 16, 'new_owned_fields': 0, + 'new_private_fields': 0, 'new_scalar_primitives': 1600, + 'native_profile': dict(sorted(profile.items())), 'all_input_columns': 640, + 'arbitrary_helpers_restored': 408, 'private_zero_buffers_restored': 91, + 'owned_final_zero': 8, 'core_scalar_frame_checks': checks, + 'core_warp_events': warps, 'boundary_negative_controls': 3} + print(provider, name, bill, 5081, flush=True) + packet['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = reports + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Exact local physical kernels and complete ordered forward maps. ' + 'Eight additional H1 calls and sixteen pure-permutation wrappers are retained. ' + 'Global child hosting, routed composition, exterior phase, precision and the supplier invoice remain open.') + args.out_dir.mkdir(parents=True) + (args.out_dir / 'FORWARD-EIGHT-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (args.out_dir / 'FORWARD-EIGHT-RECEIPT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + replay = module('f8_native_replay', LANE / 'emit_raw_selected.py', PINS['native_replay']) + scalar = module('f8_scalar_tools', LANE / 'structured-centres-transfer-20261018/emit_structured_transfer.py', PINS['scalar_tools']) + phase = module('f8_phase_interpreter', LANES / 'interface-proof/verify_native_lift.py', PINS['phase_interpreter']) + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-PROGRAMS.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-PROGRAMS.json.gz new file mode 100644 index 0000000000..bcccdabbba Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-RECEIPT.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-RECEIPT.json new file mode 100644 index 0000000000..b4d1df4ebd --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-normal/FORWARD-EIGHT-RECEIPT.json @@ -0,0 +1,120 @@ +{ + "checker_sha256": "104a899cf9f24413fa044b6b3107fd235bf4c260c54c62261d1e2d8544048b6c", + "exact_FULL_commutations": 8, + "exact_spatial_columns": 4096, + "line_sign_controls": 8, + "payload_decompressed_sha256": "68c64bd759ddcb7eb6ae734abee0ef0f1a1a270b16047e62ab31b77715f2e11f", + "providers": { + "base": { + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 93072 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89376 + } + }, + "extra": { + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 93072 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89376 + } + } + }, + "scope": "Exact local physical kernels and complete ordered forward maps. Eight additional H1 calls and sixteen pure-permutation wrappers are retained. Global child hosting, routed composition, exterior phase, precision and the supplier invoice remain open.", + "source_pins": { + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "phase_interpreter": "087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b", + "reduced_freeze": "84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1", + "reduced_payload": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "scalar_tools": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "source_freeze": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "source_payload": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee" + }, + "status": "PASS_DIRECT_SELECTED_EIGHT_PHASE_SUFFIX" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-PROGRAMS.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-PROGRAMS.json.gz new file mode 100644 index 0000000000..bcccdabbba Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-RECEIPT.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-RECEIPT.json new file mode 100644 index 0000000000..b4d1df4ebd --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/forward-eight-phase-20261018/run-optimized/FORWARD-EIGHT-RECEIPT.json @@ -0,0 +1,120 @@ +{ + "checker_sha256": "104a899cf9f24413fa044b6b3107fd235bf4c260c54c62261d1e2d8544048b6c", + "exact_FULL_commutations": 8, + "exact_spatial_columns": 4096, + "line_sign_controls": 8, + "payload_decompressed_sha256": "68c64bd759ddcb7eb6ae734abee0ef0f1a1a270b16047e62ab31b77715f2e11f", + "providers": { + "base": { + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 93072 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89376 + } + }, + "extra": { + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 93072 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "boundary_negative_controls": 3, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3515, + "native_profile": { + "1": 2441, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5081, + "new_owned_fields": 0, + "new_private_fields": 0, + "new_pure_permutation_wrappers": 16, + "new_rank_one_children": 8, + "new_scalar_primitives": 1600, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89376 + } + } + }, + "scope": "Exact local physical kernels and complete ordered forward maps. Eight additional H1 calls and sixteen pure-permutation wrappers are retained. Global child hosting, routed composition, exterior phase, precision and the supplier invoice remain open.", + "source_pins": { + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "phase_interpreter": "087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b", + "reduced_freeze": "84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1", + "reduced_payload": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "scalar_tools": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "source_freeze": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "source_payload": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee" + }, + "status": "PASS_DIRECT_SELECTED_EIGHT_PHASE_SUFFIX" +} diff --git 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Physical Clifford exactness of every warp is checked by the local replay and the phase recipes." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..d4ab5a94fe Binary files /dev/null and b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/FULL-WORD.json.gz b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/FULL-WORD.json.gz new file mode 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"paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + }, + "backward": { + "sha256": "a86a5f32c81981426194d62924f03524b63972f927a142ab96ad74732f1994d9", + "events": 22764, + "scalar_macros": 17449, + "warp_events": 240, + "real_component_primitive_bound": 158196, + "paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + } +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-PROGRAMS.json.gz 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"PASS_BORROW_WORD_FREE_ALGEBRA_ALL_COLUMNS_AND_NATIVE_FRAMES", + "input_content_sha256": "34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731", + "canonical_content_sha256": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "live_columns_each_orientation": 632, + "helpers": 408, + "original_helpers": 480, + "removed_helpers": 72, + "zero_buffers": 91, + "warps": 72, + "warp_events": 240, + "initial_corrections": 36, + "scalar_operations": 17425, + "local_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "local_rank_mass": 5137, + "widths": [ + 9, + 9, + 8, + 9, + 8, + 9, + 8, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 7, + 9, + 7, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 7, + 9, + 7, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 4, + 7, + 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Physical Clifford exactness of every warp is checked by the local replay and the phase recipes." +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/probe_cut.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/probe_cut.py new file mode 100644 index 0000000000..d238a2e853 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-core-transfer-20261017/probe_cut.py @@ -0,0 +1,103 @@ +#!/usr/bin/env python3 +"""Read the candidate cut without importing source code.""" +from pathlib import Path +from fractions import Fraction +import gzip +import json +import hashlib + +HERE = Path(__file__).resolve().parent +INTERFACE = HERE.parent / 'circuit-interface' / 'INTERFACE.json' +WORDS = HERE.parents[1] / 'upstream-refresh-20261017' / 'pr3148' / 'research' / 'coupled-carrier-cap740' / 'words' + + +def add(row, other, q): + for key, value in other.items(): + value = row.get(key, 0) + q * value + if value: + row[key] = value + else: + row.pop(key, None) + + +def step(rows, gate): + op, target = gate[:2] + if op == 'add': + add(rows[target], rows[gate[2]], Fraction(gate[3], gate[4])) + elif op == 'scale': + q = Fraction(gate[2], gate[3]) + rows[target] = {key: q * v for key, v in rows[target].items()} + elif op == 'warp': + symbol = gate[2] + rows[target] = { + (source, word[:-1] if word and word[-1] == -symbol else word + (symbol,)): v + for (source, word), v in rows[target].items() + } + else: + raise ValueError(op) + + +def chronological(w): + at = {} + for number, gate in enumerate(w['warps'], 1): + at.setdefault(gate[0], []).append(['warp', gate[1], number]) + result = [] + for index in range(len(w['B']) + 1): + result.extend(at.get(index, [])) + if index < len(w['B']): + result.append(w['B'][index]) + return result + + +def encode(row): + return [[key[0], list(key[1]), str(v)] for key, v in sorted(row.items())] + + +def main(): + old = json.loads(INTERFACE.read_text()) + reports = {} + for name in ['base', 'extra']: + raw = gzip.decompress((WORDS / (name + '.json.gz')).read_bytes()) + require = {'base': '49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e', 'extra': '34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731'} + if hashlib.sha256(raw).hexdigest() != require[name]: + raise RuntimeError('Source word pin') + w = json.loads(raw) + live = sorted(set(range(704)) - set(w['removed'])) + rows = {r: {(r, ()): Fraction(1)} for r in live} + for gate in w['A']: + if not 112 <= gate[1] < 224: + step(rows, gate) + center = [rows[r] for r in w['centers']] + source = [{str(k): str(v) for (k, word), v in row.items() if k < 112 and not word} for row in center] + helper = [{str(k): str(v) for (k, word), v in row.items() if k >= 224 and not word} for row in center] + mixed_words = [encode({key: v for key, v in row.items() if key[1]}) for row in center] + response = {r: {} for r in live} + for gate in w['cut']: + add(response[gate[1]], {(w['centers'].index(gate[2]), ()): Fraction(1)}, Fraction(gate[3], gate[4])) + for gate in chronological(w) + w['restore'] + w['cleanup']: + if 112 <= gate[1] < 224: + step(response, gate) + krows = [{str(k): str(v) for (k, word), v in response[112 + p].items()} for p in range(112)] + expected = [{str(i): str(Fraction(old['R'][i].get(str(p), '0')) / 4) for i in range(8) if old['R'][i].get(str(p), '0') != '0'} for p in range(112)] + report = { + 'payload_sha256': hashlib.sha256(raw).hexdigest(), + 'ports_equal': w['ports'] == old['ports'], + 'R_equal': source == old['R'], + 'H_equal': helper == old['H'], + 'K_equal_R_transpose_over_4': krows == expected, + 'center_R': source, + 'center_H': helper, + 'center_operator_terms': mixed_words, + 'target_K': krows, + 'private_cold_roles': sorted(map(int, w['helper_final'])), + 'centers': w['centers'], + 'center_frames': w['center_frames'], + 'live': live, + } + reports[name] = report + print(name, {key: value for key, value in report.items() if key.endswith('_equal') or key in ['ports_equal', 'K_equal_R_transpose_over_4']}, 'word terms', [len(x) for x in mixed_words], 'R/H terms', [sum(len(x) for x in source), sum(len(x) for x in helper)]) + (HERE / 'CUT-PROBE.json').write_text(json.dumps(reports, indent=2) + '\n') + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/check_raw_selected.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/check_raw_selected.py new file mode 100644 index 0000000000..542c9490f1 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/check_raw_selected.py @@ -0,0 +1,471 @@ +#!/usr/bin/env python3 +"""Review the raw selected local maps with a separate exact interpreter.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +import gzip +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = LANES.parents[2] +SOURCE = LANES / 'native-escape-20261017' +A = (0, 7, 20, 27, 36, 46, 57, 111) +U = tuple(p for p in range(112) if p not in A) +CORE_PIN = 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877' +WORD_PIN = '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219' +INTERFACE_PIN = '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3' +KERNEL_PACKET_PIN = '17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f' +PACKET_PINS = { + 'RAW-SELECTED-BACKWARD': '0d3280c6ad7ce79fba15bc6ff53e32fff1de75d8c17113c6174799e544e6103f', + 'RAW-SELECTED-FORWARD': '92d66da6d103963f8727b5e2ecb85f5cb48a220f870d36c433b6b3c6803b7cc9', + 'ZERO-LINE-BACKWARD': 'b02395d076f2ab3956f35de863109fbabe0ab7dc1c5e8199024045679a1a1727', +} +INPUTS = {} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def hashed(path, pin=None, zipped=False): + raw = path.read_bytes() + content = gzip.decompress(raw) if zipped else raw + key = str(path.relative_to(ROOT)) + record = {'sha256': hashlib.sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = hashlib.sha256(content).hexdigest() + need(pin is None or hashlib.sha256(content).hexdigest() == pin, 'Input pin: ' + key) + INPUTS[key] = record + return content + + +def load(path, pin=None, zipped=False): + return json.loads(hashed(path, pin, zipped)) + + +def acc(target, source, coefficient=Q(1)): + for key, value in source.items(): + result = target.get(key, 0) + coefficient * value + if result: + target[key] = result + else: + target.pop(key, None) + + +def rank(vectors): + basis = {} + for x in vectors: + while x: + lead = x.bit_length() - 1 + if lead not in basis: + basis[lead] = x + break + x ^= basis[lead] + return len(basis) + + +def register(wire): + kind, index = wire + need(kind in ('L', 'C'), 'Core register namespace') + need(0 <= index < (704 if kind == 'L' else 8), 'Core register range') + return index + (704 if kind == 'C' else 0) + + +def price(kind, coefficient=None): + if kind in ('clear', 'copy'): + return 2 + coefficient = Q(coefficient) + numerator = abs(coefficient.numerator) + denominator = coefficient.denominator + need(numerator > 0 and denominator & (denominator - 1) == 0, 'Nonzero dyadic scalar') + if kind == 'scale': + need(numerator & (numerator - 1) == 0, 'Power-of-two scale') + return 2 * (abs(numerator.bit_length() - denominator.bit_length()) + (coefficient < 0)) + need(kind == 'add', 'Scalar opcode') + return 2 * (3 + numerator.bit_length() - 1 + numerator.bit_count() + denominator.bit_length() - 1) + + +def core_matrix(events, word, orientation, J): + """Pull all output covectors through the circuit in reverse order.""" + columns = [{i: Q(1)} for i in range(712)] + for event in reversed(events): + if event[0] != 'scalar': + continue + gate = event[1] + op, target = gate[0], register(gate[1]) + if op == 'clear': + need(target >= 704, 'Only owned core arrays are cleared') + columns[target] = {} + elif op == 'scale': + c = Q(*gate[2:]) + columns[target] = {i: c * value for i, value in columns[target].items()} + else: + need(op == 'add', 'Core ADD grammar') + source = register(gate[2]) + need(source != target, 'Distinct ADD wires') + acc(columns[source], columns[target], Q(*gate[3:])) + for source, actual in enumerate(columns): + expected = {source: Q(1)} if source < 704 else {} + if orientation == 'forward' and source < 112: + acc(expected, {112 + p: J[p][source] for p in range(112) if J[p][source]}) + if orientation == 'backward' and 112 <= source < 224: + acc(expected, {p: -J[p][source - 112] for p in range(112) if J[p][source - 112]}) + need(actual == expected, orientation + ' reverse transpose column ' + str(source)) + + frames = word['start'][:] + [None] * 8 + profile = Counter() + scalar_cost = 0 + scalar_count = 0 + for event in events: + tag = event[0] + if tag == 'scalar': + gate, declared = event[1:] + op, target = gate[0], register(gate[1]) + scalar_count += 1 + if op == 'clear': + need(target >= 704, 'Owned clear at actual frame') + frames[target] = declared + scalar_cost += price(op) + else: + need(frames[target] == declared, 'Declared scalar target frame') + if op == 'add': + need(frames[register(gate[2])] == declared, 'Declared scalar source frame') + scalar_cost += price(op, Q(*(gate[3:] if op == 'add' else gate[2:]))) + elif tag == 'climb': + _, _, wire, old, new, paid = event + need(frames[wire] == old, 'Declared native input frame') + a, b = word['frames'][old], word['frames'][new] + need(rank(a + b) == len(b), 'Nested native subspaces') + need(paid == len(b) - len(a) > 0, 'Declared native rank') + frames[wire] = new + profile[paid] += 1 + elif tag == 'adapter': + _, direction, wire, frame = event + endpoint = word['start'] if direction == 'old_to_new' else word['final'] + need(direction in ('old_to_new', 'new_to_old') and endpoint[wire] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, wire, entry, *tail = event + need(side in ('pre', 'post'), 'Residual adapter side') + need(entry == word['start'][wire] and (tail[0] if tail else 1) == word['final'][wire], 'Residual adapter endpoints') + else: + need(tag == 'phase', 'Core event grammar') + need(frames == word['final'] + [0] * 8, 'Complete core frame ledger') + need(scalar_cost == 202138 and sum(k * v for k, v in profile.items()) == 5522, 'Core invoice') + return columns, {'exact_input_columns': 712, 'scalar_events': scalar_count, 'scalar_cost': scalar_cost, 'profile': dict(sorted(profile.items())), 'native_mass': 5522} + + +def atom(source): + return {((), source): Q(1)} + + +def op_left(poly, port, sign): + letter = sign * (port + 1) + out = {} + for (word, source), coefficient in poly.items(): + reduced = word[1:] if word and word[0] == -letter else (letter,) + word + acc(out, {(reduced, source): coefficient}) + return out + + +def boundary(events, data): + data = [dict(poly) for poly in data] + for event in events: + tag, target = event['kind'], event['target'] + need(target < 224 or target == 704, 'Boundary touches only data or C0') + if tag == 'clear': + need(target == 704, 'Boundary clear is owned C0') + data[target] = {} + elif tag == 'copy': + source = event['source'] + need(target == 704 and not data[target] and source < 224, 'Owned physical copy') + data[target] = dict(data[source]) + elif tag == 'line': + need(target == 704 and event['port'] in A and event['power'] in (-1, 1), 'Selected signed line on C0') + data[target] = op_left(data[target], event['port'], event['power']) + elif tag == 'scale': + c = Q(event['coefficient']) + data[target] = {key: c * value for key, value in data[target].items() if c * value} + else: + need(tag == 'add' and (event['source'] < 224 or event['source'] == 704), 'Physical common-address ADD') + need(target != event['source'], 'Distinct physical ADD arrays') + acc(data[target], data[event['source']], Q(event['coefficient'])) + return data + + +def apply_matrix(columns, data): + output = [{} for _ in range(712)] + for source, column in enumerate(columns): + for target, coefficient in column.items(): + acc(output[target], data[source], coefficient) + return output + + +def evaluate(columns, before, after): + data = [atom(i) for i in range(712)] + for p in range(112): + data[p] = op_left(data[p], p, 1) + data = boundary(before, data) + for p in range(112): + data[p] = op_left(data[p], p, -1) + data = apply_matrix(columns, data) + for p in range(112): + data[112 + p] = op_left(data[112 + p], p, -1) + physical_without_F = boundary(after, data) + output = [dict(poly) for poly in physical_without_F] + for p in range(112): + output[112 + p] = op_left(output[112 + p], p, 1) + return output, physical_without_F + + +def linear_combination(coefficients, data): + result = {} + for key, coefficient in coefficients.items(): + acc(result, data[key], coefficient) + return result + + +def expected_map(kind, B, D): + output = [atom(i) if i < 704 else {} for i in range(712)] + r = {a: op_left(atom(112 + a), a, -1) for a in A} + qa = {a: op_left(atom(a), a, 1) for a in A} + if kind.startswith('B'): + for a in A: + output[a] = linear_combination({112 + p: c for p, c in B[a].items()}, output) + acc(output[a], r[a], 1 if kind == 'B0' else -12) + output[112 + a] = qa[a] + for p in U: + acc(output[p], atom(112 + p), -1) + if kind != 'B16': + acc(output[p], linear_combination(D[p], qa)) + if kind == 'B0': + acc(output[p], linear_combination(D[p], r), -1) + else: + acc(output[112 + p], linear_combination(D[p], r), -1) + else: + queries = {a: linear_combination(B[a], output) for a in A} + for a in A: + acc(output[a], op_left(queries[a], a, -1), -1) + for p in U: + acc(output[112 + p], atom(p)) + acc(output[112 + p], linear_combination(D[p], queries), -1) + if kind == 'F0': + acc(output[112 + p], linear_combination(D[p], r), -1) + return output + + +def check_inverse(kind, out, B, D): + recovered = [{} for _ in range(224)] + if kind.startswith('B'): + r = {} + for a in A: + r[a] = dict(out[a]) + acc(r[a], linear_combination({112 + p: c for p, c in B[a].items()}, out), -1) + recovered[112 + a] = op_left(r[a], a, 1) + recovered[a] = op_left(out[112 + a], a, -1) + for p in U: + v = dict(out[112 + p]) + if kind != 'B0': + acc(v, linear_combination(D[p], r)) + recovered[112 + p] = v + recovered[p] = dict(out[p]) + acc(recovered[p], v) + if kind != 'B16': + acc(recovered[p], linear_combination({112 + a: c for a, c in D[p].items()}, out), -1) + if kind == 'B0': + acc(recovered[p], linear_combination(D[p], r)) + else: + query = {a: linear_combination(B[a], out) for a in A} + r = {a: op_left(out[112 + a], a, -1) for a in A} + for a in A: + recovered[a] = dict(out[a]) + acc(recovered[a], op_left(query[a], a, -1)) + recovered[112 + a] = dict(out[112 + a]) + for p in U: + recovered[p] = dict(out[p]) + recovered[112 + p] = dict(out[112 + p]) + acc(recovered[112 + p], out[p], -1) + acc(recovered[112 + p], linear_combination(D[p], query)) + if kind == 'F0': + acc(recovered[112 + p], linear_combination(D[p], r)) + need(recovered == [atom(i) for i in range(224)], kind + ' data inverse') + + +def rotate(pair, phase): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[phase % 4] + + +def mono(record, x, value): + rows, quadratic, alpha = record['matrix_rows'], record['quadratic_rows'], record['linear_Z4'] + need(len(rows) == len(quadratic) == len(alpha) == 9 and rank(rows) == 9, 'Monomial matrix dimensions') + target = sum(((row & x).bit_count() % 2) << j for j, row in enumerate(rows)) ^ record['offset'] + exponent = record['phase'] + exponent += sum(alpha[j] for j in range(9) if (x >> j) & 1) + exponent += 2 * sum((quadratic[j] & x & ~((1 << (j + 1)) - 1)).bit_count() for j in range(9) if (x >> j) & 1) + return target, rotate(value, exponent) + + +def kernel_column(record, x): + target, value = mono(record['right'], x, (1, 0)) + a, b = value + result = {} + for y, coefficient in ((target, (a - b, a + b)), (target ^ 1, (a + b, b - a))): + output, coefficient = mono(record['left'], y, coefficient) + need(output not in result, 'Two distinct kernel addresses') + result[output] = coefficient + return result + + +def kernel_checks(records, ports): + decoder_path = LANES / 'interface-proof/verify_native_lift.py' + hashed(decoder_path, '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b') + spec = importlib.util.spec_from_file_location('independent_native_decoder', decoder_path) + decoder = importlib.util.module_from_spec(spec) + spec.loader.exec_module(decoder) + need({(record['port'], record['inverse']) for record in records} == {(a, inv) for a in A for inv in (False, True)}, 'Exact signed line class set') + count = 0 + for item in records: + p, inverse, recipe = item['port'], item['inverse'], item['recipe'] + need(recipe['rank'] == 1, 'Each added child has rank one') + sign = -1 if inverse else 1 + direct = (('C', ports[p], sign),) + decoder.equal(decoder.recipe(recipe), direct, 'Independent signed line ' + str((p, sign))) + decoder.equal(direct + decoder.fourier(9), decoder.fourier(9) + direct, 'Line commutes with common F') + for x in range(512): + expected = {x: (1, sign), x ^ ports[p]: (1, -sign)} + need(kernel_column(recipe, x) == expected, 'Exact signed line Gaussian column') + count += 1 + bad = deepcopy(records[0]['recipe']) + bad['left']['phase'] = (bad['left']['phase'] + 1) % 4 + need(kernel_column(bad, 0) != kernel_column(records[0]['recipe'], 0), 'Wrong line global phase is rejected') + return {'signed_recipes': len(records), 'all_basis_columns': count, 'independent_Pauli_and_zero_state_checks': len(records), 'F_commutation_checks': len(records)} + + +def main(): + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + for prefix in PACKET_PINS: + freeze = load(SOURCE / (prefix + '-FREEZE.json')) + entries = freeze.get('files', freeze) + for name, pin in entries.items(): + zipped = name.endswith(' decompressed') + path = SOURCE / name.removesuffix(' decompressed') + hashed(path, pin, zipped) + packets = {prefix: load(SOURCE / (prefix + '-PROGRAM.json.gz'), pin, True) for prefix, pin in PACKET_PINS.items()} + b = packets['RAW-SELECTED-BACKWARD'] + f = packets['RAW-SELECTED-FORWARD'] + b0 = packets['ZERO-LINE-BACKWARD'] + core = load(LANES / 'circuit-interface/CENTRE-FREE-PROGRAMS.json.gz', CORE_PIN, True) + word_path = ROOT / 'work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz' + raw_word = hashed(word_path, WORD_PIN) + word = json.loads(gzip.decompress(raw_word)) + for p, direction in enumerate(word['ports']): + start_x = word['frames'][word['start'][p]] + start_y = word['frames'][word['start'][112 + p]] + final_x = word['frames'][word['final'][p]] + final_y = word['frames'][word['final'][112 + p]] + need(len(start_x) == rank(start_x + [direction]) == 1, 'Source endpoint line subspace') + need(start_y == [] and len(final_x) == 9, 'Input Y and output X endpoint frames') + need(len(final_y) == 8 and all((v & direction).bit_count() % 2 == 0 for v in final_y), 'Output Y endpoint hole subspace') + interface = load(LANES / 'circuit-interface/INTERFACE.json', INTERFACE_PIN) + native_review = load(LANES / 'interface-proof/NATIVE-LIFT-REVIEW.json', '61b3990c983b96b8bff01feab8c83a612ea41612b948b1059186ce9ffa9692ea') + need(native_review['changed_payload_sha256'] == CORE_PIN and native_review['status'] == 'PASS_INDEPENDENT_NATIVE_FRAME_LIFT_AND_FINITE_LOCAL_BILL', 'Inherited native review binding') + signed = load(LANES / 'paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIFORM-SIGNED-PROGRAMS.json.gz', KERNEL_PACKET_PIN, True) + need(b['retained_core'] == b0['retained_core'] == core['backward'] and f['retained_core'] == core['forward'], 'Byte-exact inherited core event arrays') + need(b['line_recipes'] == f['line_recipes'] == signed['line_recipes'], 'Signed line recipe binding') + need(b0['physical_exchange'] == b['physical_exchange'] and b0['post_lower_shear'] == b['post_lower_shear'] and b0['added_native_lines'] == 0, 'Zero-line B subword binding') + need(f['input_physical_exchange'] == f['output_physical_exchange'] == b['physical_exchange'], 'All physical swap tapes') + + R = [[Q(row.get(str(p), '0')) for p in range(112)] for row in interface['R']] + J = [[Q(p == q) - sum(row[p] * row[q] for row in R) / 4 for q in range(112)] for p in range(112)] + B = {a: {p: -J[a][p] for p in U if J[a][p]} for a in A} + D = {p: {a: -J[p][a] for a in A if J[p][a]} for p in U} + need(all(J[a][c] == 0 for a in A for c in A), 'Selected block of J is zero') + need(all(sum(B[a].get(p, 0) * D[p].get(c, 0) for p in U) == 13 * (a == c) for a in A for c in A), 'BD equals 13I') + need(all(J[p][q] == Q(p == q) - sum(D[p].get(a, 0) * B[a].get(q, 0) for a in A) for p in U for q in U), 'Ordinary block is I-DB') + matrices, core_checks = {}, {} + for orientation in ('forward', 'backward'): + matrices[orientation], core_checks[orientation] = core_matrix(core[orientation], word, orientation, J) + print('PASS reverse transpose core', orientation, flush=True) + + variants = { + 'B0': ('backward', b0['physical_exchange'], b0['post_lower_shear'], 206506, 5522), + 'B8': ('backward', b['prefix'] + b['physical_exchange'], b['post_lower_shear'], 210714, 5530), + 'B16': ('backward', b['prefix'] + b['physical_exchange'], b['post_lower_shear'] + b['optional_ordinary_correction'], 214922, 5538), + 'F0': ('forward', f['input_physical_exchange'], f['output_physical_exchange'], 202554, 5522), + 'F8': ('forward', f['optional_input_code'] + f['input_physical_exchange'], f['output_physical_exchange'], 206762, 5530), + } + reports = {} + for kind, (orientation, before, after, scalar, mass) in variants.items(): + actual, physical = evaluate(matrices[orientation], before, after) + expected = expected_map(kind, B, D) + need(actual == expected, kind + ' exact free-operator matrix') + need(actual[224:704] == [atom(i) for i in range(224, 704)] and actual[704:] == [{}] * 8, kind + ' borrowed and private outputs') + if kind.startswith('B'): + need(all(physical[112 + a] == atom(a) for a in A), kind + ' physical selected Y is F times original selected X') + check_inverse(kind, actual, B, D) + extra_scalar = sum(price(e['kind'], e.get('coefficient')) for e in before + after if e['kind'] != 'line') + lines = sum(e['kind'] == 'line' for e in before + after) + need(scalar == 202138 + extra_scalar and mass == 5522 + lines, kind + ' exact invoice') + reports[kind] = {'all_input_columns': 712, 'data_inverse_columns': 224, 'helpers_restored': 480, 'owned_private_zero': 8, 'scalar_cost': scalar, 'native_mass': mass, 'new_rank_one_children': lines} + print('PASS local free-operator map', kind, flush=True) + + controls = {} + expected = expected_map('B8', B, D) + controls['omit_B8_input_code'] = evaluate(matrices['backward'], b['physical_exchange'], b['post_lower_shear'])[0] != expected + controls['omit_B_output_lower_shear'] = evaluate(matrices['backward'], b['prefix'] + b['physical_exchange'], [])[0] != expected + controls['omit_B_input_swap'] = evaluate(matrices['backward'], b['prefix'], b['post_lower_shear'])[0] != expected + wrong = deepcopy(b['prefix']) + for event in wrong: + if event['kind'] == 'line': + event['power'] *= -1 + controls['wrong_inverse_line_sign'] = evaluate(matrices['backward'], wrong + b['physical_exchange'], b['post_lower_shear'])[0] != expected + controls['omit_F_output_swap'] = evaluate(matrices['forward'], f['optional_input_code'] + f['input_physical_exchange'], [])[0] != expected_map('F8', B, D) + logical_swap = [atom(i) for i in range(712)] + for a in A: + logical_swap[a], logical_swap[112 + a] = logical_swap[112 + a], logical_swap[a] + logical_swap = boundary(b0['post_lower_shear'], apply_matrix(matrices['backward'], logical_swap)) + controls['replace_physical_swap_by_logical_swap'] = logical_swap != expected_map('B0', B, D) + moved = expected_map('F8', B, D) + a = A[0] + moved[a] = atom(a) + for p, coefficient in B[a].items(): + acc(moved[a], op_left(atom(p), p, -1), -coefficient) + controls['move_Q_through_dense_B'] = moved != expected_map('F8', B, D) + witness_port = next(p for p in B[a] if word['ports'][p] != word['ports'][a]) + actual_selected_column = {0: (1, -1), word['ports'][a]: (1, 1)} + actual_ordinary_column = {0: (1, -1), word['ports'][witness_port]: (1, 1)} + controls['actual_native_Q_through_B_counterexample'] = actual_selected_column != actual_ordinary_column + need(all(controls.values()), 'Every operator mutation is rejected') + lines = kernel_checks(signed['line_recipes'], word['ports']) + result = { + 'status': 'PASS_INDEPENDENT_RAW_SELECTED_LOCAL_REVIEW', + 'method': 'Reverse transpose accumulation of the retained scalar core, followed by matrix composition over a free group algebra of the Q operators. No producer code is imported.', + 'core': core_checks, + 'variants': reports, + 'signed_line_checks': lines, + 'data_endpoint_frame_checks': 448, + 'negative_controls': controls, + 'actual_Q_B_noncommutation_witness': {'selected_port': a, 'ordinary_port': witness_port, 'B_entry': str(B[a][witness_port]), 'selected_direction': word['ports'][a], 'ordinary_direction': word['ports'][witness_port], 'basis_input': 0, 'Gaussian_denominator': 2}, + 'boundary_access': 'Boundary ADDs are actual common-address operations on physical data arrays. They do not identify unequal logical frames. The coded endpoint formulas keep those operators explicitly.', + 'inherited_native_review_sha256': '61b3990c983b96b8bff01feab8c83a612ea41612b948b1059186ce9ffa9692ea', + 'not_repeated': ['Full old-core Clifford recipe sweep', 'Full 712-array physical Gaussian operator replay'], + 'not_claimed': ['Actual inter-call controller or decoder', 'New child hosting', 'Complete recursive scalar, storage, and precision invoice', 'New kappa'], + 'seconds': time.monotonic() - started, + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), + } + (HERE / 'RAW-REVIEW-INPUTS.json').write_text(json.dumps(INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256((HERE / 'RAW-REVIEW-INPUTS.json').read_bytes()).hexdigest() + (HERE / 'RAW-REVIEW.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/FREEZE.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/FREEZE.json new file mode 100644 index 0000000000..7f78cf699e --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/FREEZE.json @@ -0,0 +1,15 @@ +{ + "artifacts": { + "REVIEW.md": "682ec8a00ce74462e4a41f62f053ebd968aa2b390fbb2cc025dfb90dcf6d2e1c", + "check.py": "d1a3c5382e32b8d90a9773d13082e232a6fcb2a60e90f463685f7aa49a8c84dd", + "final-normal/INPUTS.json": "d9e2f083c08eb92b3df6ceb688371c868ad137b0fd28caacc68721e7ff0502ab", + "final-normal/REVIEW.json": "888047aad482d43c6f83955061c97ee54503f2734de6f899e25c6dddc3259a8f", + "final-optimized/INPUTS.json": "d9e2f083c08eb92b3df6ceb688371c868ad137b0fd28caacc68721e7ff0502ab", + "final-optimized/REVIEW.json": "888047aad482d43c6f83955061c97ee54503f2734de6f899e25c6dddc3259a8f" + }, + "no_publication": true, + "normal_optimized_inputs_equal": true, + "normal_optimized_receipts_equal": true, + "producer_freeze_sha256": "af400bac97eeb1231b30e6ee74ccf7ffc818133c555d7232c2b60234dd04fc42", + "status": "PASS_INDEPENDENT_DIRECT_LIVE_EIGHT_PHASE" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/REVIEW.md b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/REVIEW.md new file mode 100644 index 0000000000..bd28103da9 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/REVIEW.md @@ -0,0 +1,214 @@ +# Independent review of the direct live-field eight-port suffix + +The eight new native recipes and all four complete forward words pass +independent review. The balanced words cost 92,784 real dyadic scalar +primitives; the raw words cost 89,088. Each has 3,515 native children +with rank mass 5,081. The eight new rank-one calls and their sixteen +permutation wrappers are explicit. No material defect was found. + +The complete X output is `(Qh,k)`. This holds for arbitrary current +selected Y input d. The physical selected Y output remains `q d`. +No clean-d assumption or old query is used. + +## Frozen source and independent method + +The producer freeze is +`new-core-transfer-20261017/forward-eight-phase-20261018/FREEZE.json`, +SHA-256 +`af400bac97eeb1231b30e6ee74ccf7ffc818133c555d7232c2b60234dd04fc42`. +The final scaled payload has decompressed SHA-256 +`f2369cd8928d3c6fe64ec87b18e5993db167ef362f326e173a752bbb8fe64de3`. +The checker validates every artifact in this freeze, the signed source +freeze, and the preceding physical-transfer freeze. + +The complete-word interpreter comes from the frozen independent S24 +review, SHA-256 +`d55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90`. +The preceding reduced-interface review freeze has SHA-256 +`a5c4619ba3e3a627f136dadda4b3c2e94ca0653acc4943f66a9ceab595218f9e`. +The new spatial interpreter is separate code. It uses only integer +pairs for Gaussian integers, binary permutations, and explicit matrix +columns. It imports no producer code or Clifford interpreter. + +The source native-child convention is pinned to +`interface-proof/verify_native_lift.py`, SHA-256 +`087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b`. +The review reads that definition but does not import its interpreter. + +## Exact live-field kernel and FULL placement + +On the nine binary spatial coordinates, let T_v be translation by v. +The positive rank-one line operation is + +```text +Q_v = ((1+i)I + (1-i)T_v)/2. +``` + +For each selected label v, the packet supplies two binary matrices. +The independent checker verifies their complete permutations on all +512 positions, verifies that they are mutual inverses, and verifies +that the left matrix sends the first coordinate vector to v. Both +wrappers have zero translation, zero quadratic phase, zero linear +phase, and zero global phase. The complete operation is + +```text +P_G Q_e0 P_G^-1 = Q_v. +``` + +The selected port and label pairs are + +| Port | Spatial label | +| --- | ---: | +| 0 | 11 | +| 7 | 21 | +| 15 | 265 | +| 36 | 146 | +| 42 | 322 | +| 46 | 140 | +| 79 | 502 | +| 89 | 445 | + +These labels match both actual canonical providers. For every input +basis position z, the checker applies the right permutation, the child, +and the left permutation. The resulting column has numerator `1+i` +at z and numerator `1-i` at `z+v`, with denominator two. All other +entries are zero. All 4,096 recipe columns pass, including global phase. + +FULL is the product of the nine coordinate Q operations. Its matrix +coefficient for displacement t is + +```text +(1+i)^(9-|t|) (1-i)^|t| / 2^9. +``` + +The translations commute, so `Q_v FULL = FULL Q_v`. The checker also +computes both matrix products independently on every spatial input +column for all eight recipes. Each product has denominator `2^10`. +All 4,096 commutation columns pass with exact Gaussian-integer +numerators. This includes global phase, not only support or Pauli +action. Wrong inverse-line and wrong global-minus-sign controls reject. + +Consequently, if a current live field contains `FULL w`, the emitted +call produces `FULL Q_v w`. The proof applies to every spatial vector +w. It does not require an owned field or a copy of the data. This is +the new direct-target binding; it is not inferred from the earlier +programs that restricted native line calls to C0. + +The rank-one child uses the existing native interface contract: it +performs the exact spatial transform on the selected target and +preserves all other fields. The local program adds eight such calls. +Their recursive storage and global hosting are not supplied by the +matrix identity and remain separate obligations. + +## Complete map and current-source use + +Write the actual signed response as `J=[[L,B],[D,H]]`. Before the new +suffix, the balanced forward word has, after removal of the common +FULL factor, + +```text +physical X_S = h + q(L q d + B k), +physical X_U = k, +physical Y_S = q d, +logical Y_U = H(v+k) + D q d. +``` + +The suffix first applies positive Q to each selected X. This cancels +only the adjacent same-port product Qq. It then applies + +```text +X_S <- X_S - L Y_S - B X_U. +``` + +The selected source is the actual physical Y value `q d`. The ordinary +source is the actual completed X value k. The resulting map is + +```text +physical X_S = Q h, +physical X_U = k, +physical Y_S = q d, +logical Y_U = H(v+k) + D q d. +``` + +For the raw word, only the last expression changes, to +`v+Hk+D q d`. The same suffix is valid. No Q is moved through L, B, D, +or H. + +The independent reverse replay checks the complete emitted words with +all virtual physical endpoint conversions at their actual positions. +Port operators and native warps remain free ordered letters. All 640 +input columns are checked, including all eight independent d columns, +408 arbitrary helper inputs, and eight owned inputs. All 91 private +outputs are zero. Helpers return to their source logical values under +the exact inherited physical wrappers. Owned outputs are zero in the +initial frame. These restoration claims use the stated native-child +contract for every abstract recursive call. + +The checker binds every old core and boundary record to the previously +reviewed complete forward word. It checks every new call's target, +actual port label, positive sign, rank-one recipe, and FULL frame. +It also checks all scalar frames. The suffix touches only current data +fields; it uses no owned field, private field, or helper field. + +For each complete word, three mutations reject: omit the positive +line, replace it with its inverse, or omit the row subtraction. Thus +the complete arbitrary-input cancellation is checked separately from +the spatial phase calculation. + +## Scalar bill and retained native obligations + +The selected rows have 160 half-coefficients: sixteen in L and 144 in +B. Their direct subtraction costs 1,600 real scalar primitives. The +optimized row word first multiplies the target by two, uses twenty +signed unit ADDs, then multiplies the target by one half. No target is +also a source: sources are selected Y and ordinary X. Each row costs +`2+20*8+2=164`, so all eight cost 1,312. + +Both scalar words pass an independent check on all 640 input columns. +The exact scalar saving is 288. The review reconstructs their literal +events directly from the actual response rows. + +| Complete word | Scalar primitives | Native rank mass | Native children | +| --- | ---: | ---: | ---: | +| Raw forward with suffix | 89,088 | 5,081 | 3,515 | +| Balanced forward with suffix | 92,784 | 5,081 | 3,515 | + +Both rows apply to both providers. The native profile is +`2441H1+724H2+228H3+102H4+20H5`. The eight new H1 calls and sixteen pure +permutation wrappers are retained explicitly. There is no new scalar +preparation for these exact permutation recipes. The wrappers are not +included in the scalar primitive subtotal. Their descriptor and access +costs in a full supplier still need a legal schedule and an invoice. + +The old native core phases inherit the exact previously reviewed +orientation-specific records and geometry. The new eight line kernels +and their FULL commutation are checked afresh here. No old source +phase claim is used as a substitute for that new boundary check. + +## Limits + +This review proves the direct live-field kernels, the complete local +maps, and their displayed local invoices. It does not prove a routed +transition between calls, all caller views, global child hosting, +wrapper descriptor costs, caller exterior phase closure, recursive +precision, a complete supplier, or a new complete kappa bound. + +## Executed verification + +From the workspace root, both commands passed: + +```sh +python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/forward-eight-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/forward-eight-review-20261018/final-normal +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/forward-eight-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/forward-eight-review-20261018/final-optimized +``` + +Both ended with `PASS_INDEPENDENT_DIRECT_LIVE_EIGHT_PHASE`. The two +receipts and the two input records are byte-identical. The receipt has +SHA-256 +`888047aad482d43c6f83955061c97ee54503f2734de6f899e25c6dddc3259a8f`. +The input record has SHA-256 +`d9e2f083c08eb92b3df6ceb688371c868ad137b0fd28caacc68721e7ff0502ab`. +Claim checks use explicit exceptions and remain active under `-O`. + +The proof, checker, and review records use AI assistance. All frozen +inputs were preserved. No PR, push, commit, or publication was made. diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/check.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/check.py new file mode 100644 index 0000000000..46076b29e4 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/forward-eight-review-20261018/check.py @@ -0,0 +1,271 @@ +#!/usr/bin/env python3 +"""Check live-field line recipes and complete forward words independently.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import importlib.util +import json +import shutil + + +HERE = Path(__file__).resolve().parent +REVIEW = HERE.parent +LANES = REVIEW.parent +SOURCE = LANES / 'new-core-transfer-20261017/forward-eight-phase-20261018' +REDUCED = LANES / 'new-core-transfer-20261017/bipartite-eight-transfer-20261018' +EIGHT = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +PINS = { + 'producer': 'af400bac97eeb1231b30e6ee74ccf7ffc818133c555d7232c2b60234dd04fc42', + 'reduced': '84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1', + 'reduced_review': 'a5c4619ba3e3a627f136dadda4b3c2e94ca0653acc4943f66a9ceab595218f9e', + 'eight': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'interpreter': 'd55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90', + 'child_definition': '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b', +} +path = REVIEW / 'structured-transfer-review-20261018/check.py' +if sha256(path.read_bytes()).hexdigest() != PINS['interpreter']: + raise ValueError('Pinned independent reverse interpreter') +spec = importlib.util.spec_from_file_location('independent_forward_reverse',path) +prior = importlib.util.module_from_spec(spec) +spec.loader.exec_module(prior) +prior.INPUTS[str(path.relative_to(LANES.parent))] = {'sha256':PINS['interpreter']} +need,read,frozen = prior.need,prior.read,prior.frozen +atom,add,line = prior.atom,prior.add,prior.left + + +def plus(a,b): + return a[0]+b[0],a[1]+b[1] + + +def times(a,b): + return a[0]*b[0]-a[1]*b[1],a[0]*b[1]+a[1]*b[0] + + +def power(a,n): + result = (1,0) + for _ in range(n): + result = times(result,a) + return result + + +def permutation(record): + need(set(record)=={'matrix_rows','offset','quadratic_rows','linear_Z4','phase'}, + 'Complete serialized monomial record') + need(record['offset']==record['phase']==0 and record['quadratic_rows']==[0]*9 and + record['linear_Z4']==[0]*9, 'Exact pure permutation with zero phase') + rows = record['matrix_rows'] + need(len(rows)==9 and all(isinstance(r,int) and 0<=r<512 for r in rows), 'Nine-bit binary matrix') + images = [sum(((r & value).bit_count()%2)<=3*1024**3, 'At least 3 GiB free disk') + freeze = frozen(SOURCE,'FREEZE.json',PINS['producer']) + reduced_freeze = frozen(REDUCED,'FREEZE.json',PINS['reduced']) + frozen(REVIEW/'reduced-transfer-review-20261018','FREEZE.json',PINS['reduced_review']) + source_freeze = frozen(EIGHT,'FREEZE.json',PINS['eight']) + child_path = LANES/'interface-proof/verify_native_lift.py' + need(sha256(child_path.read_bytes()).hexdigest()==PINS['child_definition'], 'Pinned source child convention') + prior.INPUTS[str(child_path.relative_to(LANES.parent))] = {'sha256':PINS['child_definition']} + packet = read(SOURCE/'scaled-normal/FORWARD-EIGHT-PROGRAMS.json.gz', + freeze['payload_decompressed_sha256']['scaled-normal'],True) + reduced = read(REDUCED/'run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz', + reduced_freeze['payload_decompressed_sha256'],True) + source = read(EIGHT/'BIPARTITE-EIGHT-PROGRAM.json.gz',source_freeze['payload_decompressed_sha256'],True) + selected = packet['selected_S'] + need(selected==source['selected_ports']==[0,7,15,36,42,46,79,89], 'Actual selected set') + need(packet['ordinary_U']==sorted(set(range(112))-set(selected)), 'Actual ordinary set') + labels = source['providers']['base']['canonical']['ports'] + native_checks = native_lines(packet['line_recipes'],selected,labels) + recipes = {r['port']:r['recipe'] for r in packet['line_recipes']} + J = [{int(p):Q(c) for p,c in row.items()} for row in source['response']] + direct,scaled = subtraction(J,selected) + need(packet['direct_subtraction']==direct and packet['scaled_subtraction']==scaled and + packet['suffix'][8:]==scaled, 'Exact literal current-data subtraction') + scalar_expected = [atom(i) for i in range(640)] + for p in selected: + for q,c in J[p].items(): + add(scalar_expected[p],atom(112+q if q in selected else q),-c) + direct_ops,direct_price = prior.boundary(direct,1) + scaled_ops,scaled_price = prior.boundary(scaled,1) + prior.reverse(direct_ops,scalar_expected) + prior.reverse(scaled_ops,scalar_expected) + need((len(direct),direct_price,len(scaled),scaled_price)==(160,1600,176,1312), + 'Both scalar implementations and full invoices') + reports = {} + need(set(packet['providers'])=={'base','extra'}, 'Both actual providers') + for provider,item in packet['providers'].items(): + c = item['canonical'] + original = reduced['families']['eight']['providers'][provider] + need(c==original['canonical']==source['providers'][provider]['canonical'] and c['ports']==labels, + 'Exact retained canonical geometry and intrinsic labels') + need(sorted(c['frames'][1])==[1<=3*1024**3, 'At least 3 GiB free disk') + freeze = frozen(SOURCE,'FREEZE.json',PINS['producer']) + frozen(EIGHT,'FREEZE.json',PINS['eight']) + frozen(REVIEW/'structured-transfer-review-20261018','FREEZE.json',PINS['previous_review']) + previous_freeze = frozen(PREVIOUS,'FREEZE.json',prior.PINS['transfer']) + packet = read(SOURCE/'run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz', + freeze['payload_decompressed_sha256'],True) + eight = read(EIGHT/'BIPARTITE-EIGHT-PROGRAM.json.gz', + '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee',True) + previous = read(PREVIOUS/'scaled-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz', + previous_freeze['payload_decompressed_sha256']['scaled'],True) + structured = read(LANES/'controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES-PROGRAM.json.gz', + '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1',True) + clean = read(LANES/'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz',prior.PINS['clean'],True) + bridge = read(PREVIOUS/'NATIVE-GEOMETRY-BRIDGE.json') + reports,controls = {},{} + need(set(packet['families'])=={'eight','twenty_four'}, 'Both complete construction families') + for family,data in packet['families'].items(): + need(family in ('eight','twenty_four'), 'Known literal family') + selected = data['selected_S'] + J = sparse(eight['response']) if family=='eight' else [ + {p:-c for p,c in row.items()} for row in sparse(structured['response'])] + need(selected==(eight['selected_ports'] if family=='eight' else previous['selected_S']), + 'Actual source selection') + matrices = derive(J,selected) + U = matrices['U'] + need(data['ordinary_U']==sorted(U), 'Actual ordinary ports') + expected = prior.expected_maps(selected,J,matrices['H'],matrices['Hi'], + matrices['A'],matrices['Ai'],U) + expected['long_normalized_backward'] = expected['normalized_backward'] + expected['short_normalized_backward'] = expected['normalized_backward'] + family_report = {'determinants':matrices['determinants'],'providers':{}} + need(set(data['providers'])=={'base','extra'}, 'Both actual providers') + for provider,item in data['providers'].items(): + c = item['canonical'] + phase_path = REVIEW/provider/'CANONICAL-WORD.json.gz' + need(sha256(phase_path.read_bytes()).hexdigest()== + bridge['providers'][provider]['phase_canonical_compressed_sha256'], + 'Exact canonical phase-provider bytes') + phase_c = read(phase_path,zipped=True) + need(c==phase_c==previous['providers'][provider]['canonical']==clean['providers'][provider]['canonical'], + 'Actual canonical geometry is unchanged') + prior.physical_frames(c) + words = item['local_words'] + native_source = eight['providers'][provider] if family=='eight' else previous['providers'][provider] + need(c==native_source['canonical'], 'Source response uses this exact canonical geometry') + for program in item['programs'].values(): + direction = program['orientation'] + source_core = native_source['programs'][direction] if family=='eight' else next( + v['retained_core'] for v in native_source['programs'].values() if v['orientation']==direction) + need(program['retained_core']==source_core, 'Exact complete source core') + need([e for e in source_core if prior.native(e)] == + [e for e in clean['providers'][provider]['programs'][direction] if prior.native(e)], + 'Exact retained native records and phase dependency') + gauge_checks = {} + for name,events in words.items(): + matrix_name = {'long_normalizer_X':'N','short_normalizer_X':'N', + 'lower_X':'lower','upper_X':'upper','ordinary_Y':'H', + 'ordinary_inverse_X':'Hi','selected_inverse_X':'selected_inverse'}[name] + offset = 112 if name=='ordinary_Y' else 0 + operations,price = prior.boundary(events,0 if offset else 1) + check = prior.reverse(operations,gauge_map(matrices[matrix_name],events,offset)) + check['dyadic_real_primitives'] = price + gauge_checks[name] = check + if family=='eight': + need(all(e['target']<224 and e.get('source',0)<224 and e['kind'] in ('add','scale') + for events in words.values() for e in events), 'Eight-port gauges use no owned field') + need(words['short_normalizer_X']==words['selected_inverse_X']+words['lower_X'], + 'Selected inverse precedes the lower update') + need(words['lower_X']==cross_events(J,selected,True) and + words['upper_X']==cross_events(J,selected,False), 'Actual complete cross shears') + need(len(words['lower_X'])==len(words['upper_X'])==144 and + all(abs(Q(e['coefficient']))==Q(1,2) for name in ('lower_X','upper_X') for e in words[name]), + 'Exact cross-shear count and coefficients') + prior_gauges = previous['providers'][provider]['gauge_words'] + had_y = [] + for event in prior_gauges['hadamard_X']: + event = dict(event,target=event['target']+112,frame=0) + if 'source' in event: + event['source'] += 112 + had_y.append(event) + need(words['ordinary_Y'][-352:]==had_y and + words['ordinary_inverse_X'][-352:]==prior_gauges['hadamard_inverse_X'], + 'Both paid Hadamard words retain their 32 physical exchanges') + expected_costs = dict(raw_backward=87568,raw_forward=87776,balanced_backward=91264, + balanced_forward=91472,diagonal_backward=92704, + long_normalized_backward=99472,short_normalized_backward=89200) + gauge_costs = dict(long_normalizer_X=11904,short_normalizer_X=1632,lower_X=1440, + upper_X=1440,ordinary_Y=3696,ordinary_inverse_X=3696,selected_inverse_X=192) + else: + expected_costs = dict(long_normalized_backward=96012,short_normalized_backward=89592) + gauge_costs = dict(long_normalizer_X=8028,short_normalizer_X=1608) + need(item['programs']['long_normalized_backward']== + previous['providers'][provider]['programs']['normalized_backward'], + 'The prior complete 24-port long word is unchanged') + need({name:r['dyadic_real_primitives'] for name,r in gauge_checks.items()}==gauge_costs, + 'All independently counted gauge invoices') + need(set(item['programs'])==set(expected_costs), 'Every declared complete word is present') + checks = {} + for name,program in item['programs'].items(): + need(program['input_exchange']==prior.selected_exchange(selected,0), + 'Literal physical input exchanges') + prefix = words['ordinary_Y'] if name=='balanced_forward' else [] + suffix = (words['ordinary_inverse_X'] if name=='balanced_backward' else + words['ordinary_inverse_X']+words['upper_X'] if name=='diagonal_backward' else + words['long_normalizer_X'] if name=='long_normalized_backward' else + words['short_normalizer_X'] if name=='short_normalized_backward' else + prior.selected_exchange(selected,1) if program['orientation']=='forward' else []) + need(program['prefix']==prefix and program['suffix']==suffix, 'Exact local word composition') + operations,price = compiled_program(program,c) + check = prior.reverse(operations,expected[name],private=True) + need(price==expected_costs[name], 'Complete independent scalar invoice') + if name.endswith('normalized_backward'): + for p in range(112): + x_part = {key:value for key,value in expected[name][p].items() if key[1]<112} + need(x_part==(line(atom(p),p,1) if p in selected else atom(p)), + 'Full original-X block is exactly diag(Q,I)') + if name=='short_normalized_backward': + mistaken = deepcopy(expected[name]) + ai_y = apply(matrices['Ai'],[atom(112+p) for p in range(112)]) + for p in range(112): + mistaken[p] = line(atom(p),p,1) if p in selected else atom(p) + add(mistaken[p],line(ai_y[p],p,-1) if p in selected else + {key:-v for key,v in ai_y[p].items()}) + need(mistaken!=expected[name], 'The borrowed-source Q order is material') + try: + prior.reverse(operations,mistaken,private=True) + except ValueError: + controls[family+'/'+provider+'/wrong_Q_order_rejected'] = True + else: + raise ValueError('Wrong Q order in the normalized borrowed term') + if program['orientation']=='backward': + need(all(line(expected[name][112+p],p,-1)==atom(p) for p in selected), + 'Every productive selected physical Y is original X') + check.update(dyadic_real_primitives=price,native_mass=5073,native_children=3507, + logical_helpers_restored=408,owned_zero_outputs=8) + checks[name] = check + if family=='eight': + bad = deepcopy(item['programs']['short_normalized_backward']) + bad['suffix'] = words['lower_X']+words['selected_inverse_X'] + bad['events'] = bad['prefix']+bad['input_exchange']+bad['retained_core']+bad['suffix'] + operations,_ = compiled_program(bad,c) + try: + prior.reverse(operations,expected['short_normalized_backward'],private=True) + except ValueError: + controls[provider+'/old_selected_query_rejected'] = True + else: + raise ValueError('The lower shear used the old selected fields') + family_report['providers'][provider] = {'programs':checks,'gauges':gauge_checks, + 'long_short_full_map_equal':True} + print(family,provider,'complete maps, frames, restoration and invoices PASS',flush=True) + reports[family] = family_report + result = {'status':'PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES','complete_words_checked':18, + 'families':reports,'negative_controls':controls, + 'method':'Reverse ordered columns with exact rational block inversion; no producer import.', + 'scope':'Complete local words. Native phases inherit exact unchanged reviewed records. No global controller, hosting, precision, supplier or kappa claim.', + 'checker_sha256':sha256(Path(__file__).read_bytes()).hexdigest()} + out.mkdir(parents=True) + (out/'REVIEW.json').write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + (out/'INPUTS.json').write_text(json.dumps(prior.INPUTS,indent=2,sort_keys=True)+'\n') + print(result['status'],flush=True) + + +if __name__=='__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal/INPUTS.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal/INPUTS.json new file mode 100644 index 0000000000..82ee75863c --- /dev/null +++ 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"eight/extra/wrong_Q_order_rejected": true, + "extra/old_selected_query_rejected": true, + "twenty_four/base/wrong_Q_order_rejected": true, + "twenty_four/extra/wrong_Q_order_rejected": true + }, + "scope": "Complete local words. Native phases inherit exact unchanged reviewed records. No global controller, hosting, precision, supplier or kappa claim.", + "status": "PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py new file mode 100644 index 0000000000..ca45d08f6b --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py @@ -0,0 +1,592 @@ +#!/usr/bin/env python3 +"""Review the structured S24 transfer with reverse ordered columns.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json +import shutil + + +HERE = Path(__file__).resolve().parent +REVIEW = HERE.parent +LANES = REVIEW.parent +SOURCE = LANES / 'new-core-transfer-20261017/structured-centres-transfer-20261018' +CENTRES = LANES / 'controller-followthrough-20261017/structured-centres' +PINS = { + 'transfer': 'e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280', + 'centre': '5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19', + 'scaled': 'deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733', + 'clean': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', + 'phase_review': '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d', + 'algebra': 'c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef', +} +INPUTS = {} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def read(path, pin=None, zipped=False): + raw = path.read_bytes() + content = gzip.decompress(raw) if zipped else raw + record = {'sha256': sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = sha256(content).hexdigest() + INPUTS[str(path.relative_to(LANES.parent))] = record + need(pin is None or sha256(content).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(content) + + +def frozen(folder, name, pin): + manifest = read(folder / name, pin) + for path, digest in manifest['artifacts'].items(): + raw = (folder / path).read_bytes() + need(sha256(raw).hexdigest() == digest, 'Frozen artifact: ' + path) + INPUTS[str((folder / path).relative_to(LANES.parent))] = {'sha256': digest} + return manifest + + +path = REVIEW / 'check_raw_selected.py' +need(sha256(path.read_bytes()).hexdigest() == PINS['algebra'], 'Pinned independent algebra') +INPUTS[str(path.relative_to(LANES.parent))] = {'sha256':PINS['algebra']} +spec = importlib.util.spec_from_file_location('s24_independent_algebra', path) +alg = importlib.util.module_from_spec(spec) +spec.loader.exec_module(alg) +add, atom, left = alg.acc, alg.atom, alg.op_left + + +def wire(token, private): + kind, index = token + if kind == 'L': + need(0 <= index < 632, 'Live field range') + return index + if kind == 'C': + need(0 <= index < 8, 'Owned field range') + return 632 + index + need(kind == 'Z' and index in private, 'Private field range') + return private[index] + + +def boundary(events, frame): + frames = [frame] * 224 + [0] * 8 + operations, price = [], 0 + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(0 <= target < 224 or target == 632, 'Boundary touches only data and C0') + slot = target if target < 224 else 224 + if kind == 'clear': + need(target == 632, 'Boundary CLEAR is owned') + frames[slot] = declared + operations.append(('clear', target)) + price += alg.price(kind) + continue + need(frames[slot] == declared == frame, 'Physical boundary target frame') + if kind == 'scale': + coefficient = Q(event['coefficient']) + operations.append(('scale', target, coefficient)) + price += alg.price(kind, coefficient) + continue + source = event['source'] + need(0 <= source < 224 or source == 632, 'Boundary source range') + other = source if source < 224 else 224 + need(source != target and frames[other] == declared, 'Physical boundary source frame') + if kind == 'copy': + need(target == 632, 'Only owned boundary COPY') + operations.append(('copy', target, source)) + price += alg.price(kind) + else: + need(kind == 'add', 'Boundary scalar opcode') + coefficient = Q(event['coefficient']) + operations.append(('add', target, source, coefficient)) + price += alg.price(kind, coefficient) + need(frames[224:] == [0] * 8, 'Boundary owned frame exit') + return operations, price + + +def core(events, c, direction): + private = {key: 640+i for i, key in enumerate(c['zero_buffers'])} + frames = c['start'][:] + [0] * 8 + [None] * len(private) + active, allocated, returned = set(), set(), set() + allowed_warps = set(map(tuple, c['warp_edges'])) + operations, invoice, profile = [], 0, Counter() + for event in events: + tag = event[0] + if tag == 'scalar': + gate, declared = event[1:] + kind, target = gate[0], wire(gate[1], private) + need(target < 640 or target in active, 'Active core target') + if kind == 'clear': + need(632 <= target < 640, 'Only owned core CLEAR') + frames[target] = declared + operations.append(('clear', target)) + invoice += alg.price(kind) + elif kind == 'scale': + need(frames[target] == declared, 'Core SCALE frame') + coefficient = Q(*gate[2:]) + operations.append(('scale', target, coefficient)) + invoice += alg.price(kind, coefficient) + else: + need(kind == 'add', 'Core ADD grammar') + source = wire(gate[2], private) + need(source < 640 or source in active, 'Active core source') + need(source != target and frames[source] == frames[target] == declared, 'Core ADD frame') + coefficient = Q(*gate[3:]) + operations.append(('add', target, source, coefficient)) + invoice += alg.price(kind, coefficient) + elif tag == 'climb': + _, _, target, old, new, rank = event + before, after = c['frames'][old], c['frames'][new] + need(frames[target] == old, 'Native input frame') + need(alg.rank(before + after) == len(after) and rank == len(after)-len(before) > 0, + 'Nested native child and exact rank') + frames[target] = new + profile[rank] += 1 + elif tag == 'warp': + target, symbol, old, new = wire(event[1], private), *event[2:] + need(target < 640 or target in active, 'Active warp target') + need(frames[target] == old and (1 if symbol > 0 else -1, abs(symbol), old, new) in allowed_warps, + 'Actual signed warp class') + frames[target] = new + letter = (abs(symbol) + (10000 if direction == 'forward' else 20000)) * (1 if symbol > 0 else -1) + operations.append(('operator', target, letter)) + elif tag == 'zero_buffer': + target = private[event[2]] + if event[1] == 'alloc': + need(target not in allocated, 'Single private allocation') + active.add(target) + allocated.add(target) + frames[target] = 1 + operations.append(('zero', target)) + else: + need(event[1] == 'free' and target in active and frames[target] == 1, 'Private return at FULL') + active.remove(target) + returned.add(target) + elif tag == 'adapter': + _, side, target, frame = event + need(side in ('old_to_new', 'new_to_old'), 'Adapter orientation') + endpoint = c['start'] if side == 'old_to_new' else c['final'] + need(endpoint[target] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, target, entry, *end = event + need(side in ('pre', 'post') and c['start'][target] == entry and + c['final'][target] == (end[0] if end else 1), 'Residual wrapper endpoints') + else: + need(tag == 'phase', 'Known core event') + need(not active and allocated == returned == set(private.values()), 'All private lifetimes close') + need(frames[:640] == c['final'] + [0] * 8, 'Every native endpoint frame') + need(invoice == 87360 and profile == {1:2433,2:724,3:228,4:102,5:20}, 'Core invoice and native profile') + return operations, {'dyadic_real_primitives': invoice, 'native_children': 3507, + 'native_mass': 5073, 'private_returns': 91, 'profile': dict(profile)} + + +def reverse(operations, expected, private=False, coherent=True): + total = 731 if private else 640 + columns = [atom(i) for i in range(total)] + probes, admitted = {}, set() + for position, event in enumerate(operations): + kind, target = event[:2] + if kind == 'clear': + if target in admitted: + probes[position] = total + len(probes) + admitted.add(target) + elif kind == 'copy': + need(target in admitted, 'Owned COPY follows admission') + probes[position] = total + len(probes) + if not coherent: + probes = {} + for position in range(len(operations)-1, -1, -1): + event = operations[position] + kind, target = event[:2] + if kind in ('clear', 'zero'): + columns[target] = {} + elif kind == 'copy': + add(columns[event[2]], columns[target]) + columns[target] = {} + elif kind == 'add': + add(columns[event[2]], columns[target], event[3]) + elif kind == 'scale': + columns[target] = {key: value * event[2] for key, value in columns[target].items()} + else: + need(kind == 'operator', 'Reverse operator grammar') + letter, moved = event[2], {} + for (word, output), value in columns[target].items(): + result = word[:-1] if word and word[-1] == -letter else word + (letter,) + add(moved, {(result, output): value}) + columns[target] = moved + if position in probes: + add(columns[target], atom(probes[position])) + wanted = [{} for _ in range(total)] + for output, row in enumerate(expected): + for (word, source), value in row.items(): + add(wanted[source], {(word, output): value}) + for index, (actual, goal) in enumerate(zip(columns, wanted)): + need(actual == goal, ('Reverse input column or coherent zero observable', index)) + return {'arbitrary_input_columns': 640, 'private_columns': total-640, + 'zero_before_later_CLEAR_or_COPY_observables': len(probes)} + + +def matrix_apply(matrix, values): + result = [] + for row in matrix: + out = {} + for p, coefficient in row.items(): + add(out, values[p], coefficient) + result.append(out) + return result + + +def matrix_product(a, b): + result = [] + for row in a: + out = {} + for i, x in row.items(): + for j, y in b[i].items(): + value = out.get(j, 0) + x*y + if value: + out[j] = value + else: + out.pop(j, None) + result.append(out) + return result + + +def derive(source, receipt, selected): + response = [{int(k): Q(v) for k, v in row.items()} for row in source['response']] + K = [{int(k): Q(v) for k, v in row.items()} for row in source['centre_rows']] + centre = set(receipt['centre_support_ports']) + ordinary = set(range(112)) - set(selected) + hadamard = set(range(112)) - centre + need(len(centre) == 48 and len(hadamard) == 64 and len(selected) == 24, 'Actual split dimensions') + minors = receipt['orthogonal_minor_ports'] + need(len(minors) == 6 and sorted(p for m in minors for p in m) == sorted(centre), 'Six disjoint centre minors') + need(sorted(selected) == sorted(p for m in minors[:3] for p in m), 'Actual first-three-minor selection') + for minor in minors: + need([[sum(a.get(p,0)*b.get(p,0) for p in minor) for b in K] for a in K] == + [[Q(2*(i==j)) for j in range(8)] for i in range(8)], 'Every minor Gram identity') + need(all(len(row) == 12 and set(row.values()) <= {Q(-1),Q(1)} for row in K), 'Actual signed centre rows') + gram = [{q: sum(row.get(p,0)*row.get(q,0) for row in K) for q in centre} for p in range(112)] + gram = [{q:v for q,v in row.items() if v} for row in gram] + for p in range(112): + need(all(response[p].get(q,0) == response[q].get(p,0) for q in range(112)), 'Symmetric actual response') + if p in centre: + desired = {p:Q(-1)} + for q,v in gram[p].items(): + desired[q] = desired.get(q,0)+v/2 + need(response[p] == {q:v for q,v in desired.items() if v}, 'Actual centre response formula') + else: + need(set(response[p]) <= hadamard, 'Separate Hadamard response support') + J = [{q:-v for q,v in row.items()} for row in response] + identity = [{p:Q(1)} for p in range(112)] + H, Hi, A, Ai = (deepcopy(identity) for _ in range(4)) + sign = {p: -1 if p in selected else 1 for p in range(112)} + for p in ordinary: + H[p] = {q:v for q,v in J[p].items() if q in ordinary} + for p in centre & ordinary: + for q,v in gram[p].items(): + if q in ordinary: + Hi[p][q] = Hi[p].get(q,0)-v/4 + for p in centre: + A[p], Ai[p] = {p:Q(sign[p])}, {p:Q(sign[p])} + for q,v in gram[p].items(): + A[p][q] = A[p].get(q,0)-v/4 + Ai[p][q] = Ai[p].get(q,0)+sign[p]*sign[q]*v/4 + H64, Hi64 = deepcopy(identity), deepcopy(identity) + for p in hadamard: + H64[p] = dict(J[p]) + Hi64[p] = {q:v/4 for q,v in J[p].items()} + Hi[p], A[p], Ai[p] = dict(Hi64[p]), dict(Hi64[p]), dict(H64[p]) + for matrix in (H,Hi,A,Ai): + for p,row in enumerate(matrix): + matrix[p] = {q:v for q,v in row.items() if v} + for first, second in ((H,Hi),(Hi,H),(A,Ai),(Ai,A),(H64,Hi64),(Hi64,H64)): + need(matrix_product(first,second) == identity, 'Exact complete scalar inverse order') + return J,H,Hi,A,Ai,H64,Hi64,ordinary,hadamard + + +def expected_maps(selected, J, H, Hi, A, Ai, ordinary): + identity = [atom(i) for i in range(640)] + selected = set(selected) + x = identity[:112] + y = identity[112:224] + qa = [left(x[p],p,1) if p in selected else {} for p in range(112)] + qb = [left(y[p],p,-1) if p in selected else {} for p in range(112)] + back_query = [qa[p] if p in selected else y[p] for p in range(112)] + forward_query = [qb[p] if p in selected else x[p] for p in range(112)] + jb, jf = matrix_apply(J,back_query), matrix_apply(J,forward_query) + raw_b, raw_f = deepcopy(identity), deepcopy(identity) + for p in range(112): + if p in selected: + raw_b[p], raw_b[112+p] = dict(qb[p]), dict(qa[p]) + add(raw_f[p],left(jf[p],p,-1)) + add(raw_b[p],jb[p],-1) + if p in ordinary: + add(raw_f[112+p],jf[p]) + balanced_b, balanced_f = deepcopy(raw_b), deepcopy(raw_f) + hi_x = matrix_apply(Hi,raw_b[:112]) + hv = matrix_apply(H,y) + for p in ordinary: + balanced_b[p] = hi_x[p] + balanced_f[112+p] = dict(hv[p]) + add(balanced_f[112+p],jf[p]) + lx = [left(x[p],p,1) if p in selected else x[p] for p in range(112)] + dy = [left(y[p],p,-1) if p in selected else {key:-v for key,v in y[p].items()} for p in range(112)] + diagonal, normalized = deepcopy(raw_b), deepcopy(raw_b) + alx, aidy = matrix_apply(A,lx), matrix_apply(Ai,dy) + for p in range(112): + diagonal[p] = alx[p] + add(diagonal[p],dy[p]) + normalized[p] = dict(lx[p]) + add(normalized[p],aidy[p]) + result = dict(raw_backward=raw_b,balanced_backward=balanced_b,diagonal_backward=diagonal, + normalized_backward=normalized,raw_forward=raw_f,balanced_forward=balanced_f) + for rows in result.values(): + rows[632:] = [{} for _ in range(8)] + return result + + +def selected_exchange(selected, frame): + events = [] + for p in selected: + for kind,t,s,value in (('add',p,112+p,1),('add',112+p,p,-1),('add',p,112+p,1),('scale',112+p,None,-1)): + e = {'kind':kind,'target':t,'coefficient':str(value),'frame':frame} + if s is not None: + e['source'] = s + events.append(e) + return events + + +def hadamard_inventory(pairs, gauges, hadamard): + need(len(pairs) == 8 and sorted(p for pair in pairs for side in ('left','right') + for p in pair[side]) == sorted(hadamard), + 'Eight disjoint Hadamard group pairs') + events = [] + + def emit(kind, target, coefficient, source=None): + event = {'kind':kind,'target':target,'coefficient':str(coefficient),'frame':1} + if source is not None: + event['source'] = source + events.append(event) + + for pair in pairs: + for side in ('left','right'): + fields = pair[side] + need(len(fields) == 4, 'Four fields per Hadamard group') + for i,j,d in ((0,1,-1),(2,3,1),(0,2,-1),(1,3,1)): + a,b = fields[i],fields[j] + emit('add',a,d,b) + emit('scale',b,2) + emit('add',b,-d,a) + for i in (1,2): + emit('scale',fields[i],-1) + for a,b in zip(pair['left'],pair['right']): + emit('add',a,1,b) + emit('add',b,-1,a) + emit('add',a,1,b) + emit('scale',b,-1) + inverse = [] + for event in reversed(events): + inverse.append(dict(event,coefficient=str(-Q(event['coefficient']) if event['kind']=='add' + else 1/Q(event['coefficient'])))) + need(gauges['hadamard_X'] == events and gauges['hadamard_inverse_X'] == inverse, + 'Literal sixteen Hadamard kernels, 32 physical exchanges, and complete inverse') + return {'four_port_kernels':16,'physical_exchanges':32,'scalar_events':len(events), + 'literal_complete_inverse_checked':True} + + +def native(event): + return event[0] in ('climb','center','warp','adapter','residual_adapter') + + +def check_core_edit(provider, source, clean): + originals = source['programs'] + need(len(originals['forward']) == len(originals['backward']), 'Paired source index domain') + sites = [] + for i,e in enumerate(originals['forward']): + if e[0] == 'scalar' and e[1][0] == 'add': + target, origin = e[1][1:3] + is_y = lambda f: f[0]=='L' and 112<=f[1]<224 + if is_y(target) and not is_y(origin): + sites.append(i) + need(originals['backward'][i][1][1:3] == [origin,target], 'Paired transposed transfer site') + need(len(sites) == 184 and provider['negative_transfer_sites'] == sites, 'Exactly 184 changed transfer signs') + for direction in ('forward','backward'): + desired = deepcopy(originals[direction]) + for i in sites: + desired[i][1][3] *= -1 + actual = next(p['retained_core'] for p in provider['programs'].values() if p['orientation']==direction) + need(actual == desired, 'Exact complete sign edit') + need([e for e in actual if native(e)] == [e for e in clean['programs'][direction] if native(e)], + 'Exact native record bridge to reviewed current source') + need(all(p['retained_core']==actual for p in provider['programs'].values() if p['orientation']==direction), + 'One exact core for every variant') + + +def physical_frames(c): + need(len(c['start'])==632 and c['start'][112:224]==[0]*112 and c['final'][:112]==[1]*112, + 'Actual source and target endpoint types') + for p,port in enumerate(c['ports']): + need(c['frames'][c['start'][p]] == [port], 'Actual intrinsic input line') + hole = c['frames'][c['final'][112+p]] + need(len(hole)==alg.rank(hole)==8 and all((v & port).bit_count()%2==0 for v in hole), + 'Actual intrinsic output hole') + + +def main(): + parser=argparse.ArgumentParser() + parser.add_argument('--out',type=Path,required=True) + args=parser.parse_args() + need(not args.out.exists(), 'New output directory') + need(shutil.disk_usage(HERE).free>=3*1024**3, 'At least 3 GiB free disk') + transfer=frozen(SOURCE,'FREEZE.json',PINS['transfer']) + frozen(CENTRES,'FREEZE.json',PINS['centre']) + frozen(CENTRES,'GAUGES-V2-FREEZE.json',PINS['scaled']) + source=read(CENTRES/'STRUCTURED-CENTRES-PROGRAM.json.gz','2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1',True) + source_receipt=read(CENTRES/'STRUCTURED-CENTRES.json') + clean=read(LANES/'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz',PINS['clean'],True) + read(LANES/'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json',PINS['phase_review']) + bridge=read(SOURCE/'NATIVE-GEOMETRY-BRIDGE.json') + for name,pin in bridge['phase_inputs'].items(): + read(LANES/name,pin) if name.endswith('.json') else need(sha256((LANES/name).read_bytes()).hexdigest()==pin,'Phase proof pin') + reports={} + wrong_Q_order=[] + for implementation in ('original','scaled'): + packet=read(SOURCE/(implementation+'-normal')/'STRUCTURED-TRANSFER-PROGRAMS.json.gz',transfer['payload_decompressed_sha256'][implementation],True) + selected=packet['selected_S'] + J,H,Hi,A,Ai,H64,Hi64,ordinary,hadamard=derive(source,source_receipt,selected) + need(packet['ordinary_U']==sorted(ordinary) and packet['hadamard_ports']==sorted(hadamard), 'Exact packet partition') + expected=expected_maps(selected,J,H,Hi,A,Ai,ordinary) + reports[implementation]={} + for provider,item in packet['providers'].items(): + c=item['canonical'] + canonical_path=REVIEW/provider/'CANONICAL-WORD.json.gz' + native_c=read(canonical_path,zipped=True) + need(sha256(canonical_path.read_bytes()).hexdigest() == + bridge['providers'][provider]['phase_canonical_compressed_sha256'], + 'Exact compressed canonical phase input') + need(c==native_c==source['providers'][provider]['canonical']==clean['providers'][provider]['canonical'], + 'Semantic canonical equality to all pinned phase providers') + physical_frames(c) + check_core_edit(item,source['providers'][provider],clean['providers'][provider]) + gauges=item['gauge_words'] + inventory=hadamard_inventory(item['hadamard_pairs'],gauges,hadamard) + gauge_checks={} + matrices=dict(ordinary_Y=H,ordinary_inverse_X=Hi,data_X=A,data_inverse_X=Ai, + hadamard_X=H64,hadamard_inverse_X=Hi64) + compiled={} + for name,events in gauges.items(): + compiled[name]=boundary(events,0 if name=='ordinary_Y' else 1) + identity=[atom(i) for i in range(640)] + wanted=deepcopy(identity) + if name=='fused_inverse_X': + changed=matrix_apply(Hi,identity[:112]) + for p in selected: + for q in ordinary: + if J[p].get(q,0): + add(changed[p],changed[q],-J[p][q]) + else: + offset=112 if name=='ordinary_Y' else 0 + changed=matrix_apply(matrices[name],identity[offset:offset+112]) + offset=112 if name=='ordinary_Y' else 0 + wanted[offset:offset+112]=changed + if any(e['kind']=='clear' for e in events): + wanted[632]={} + check=reverse(compiled[name][0],wanted) + check['dyadic_real_primitives']=compiled[name][1] + gauge_checks[name]=check + identity=[atom(i) for i in range(640)] + zero_c=deepcopy(identity);zero_c[632]={} + for a,b in (('hadamard_X','hadamard_inverse_X'),('hadamard_inverse_X','hadamard_X'), + ('data_X','data_inverse_X'),('data_inverse_X','data_X')): + reverse(compiled[a][0]+compiled[b][0],identity if a.startswith('hadamard') else zero_c) + need(compiled['hadamard_X'][1]==compiled['hadamard_inverse_X'][1]==2048,'Priced64-port words') + input_exchange=selected_exchange(selected,0) + output_exchange=selected_exchange(selected,1) + need(boundary(input_exchange,0)[1]==boundary(output_exchange,1)[1]==624,'Priced24 physical exchanges') + costs={'raw_backward':87984,'raw_forward':88608} + costs.update(dict(zip(('balanced_backward','diagonal_backward','normalized_backward','balanced_forward'), + (91368,91944,96684,91894) if implementation=='original' else (91208,91592,96012,91830)))) + checks={} + for name,program in item['programs'].items(): + direction=program['orientation'] + prefix=gauges['ordinary_Y'] if name=='balanced_forward' else [] + suffix={'raw_backward':[], 'balanced_backward':gauges['ordinary_inverse_X'], + 'diagonal_backward':gauges['fused_inverse_X'], + 'normalized_backward':gauges['fused_inverse_X']+gauges['data_inverse_X'], + 'raw_forward':output_exchange,'balanced_forward':output_exchange}[name] + need(program['prefix']==prefix and program['input_exchange']==input_exchange and program['suffix']==suffix, + 'Exact complete boundary composition') + need(program['events']==prefix+input_exchange+program['retained_core']+suffix,'Complete serialized word') + pre_ops,pre_cost=boundary(prefix+input_exchange,0) + post_ops,post_cost=boundary(suffix,1) + native_ops,native_bill=core(program['retained_core'],c,direction) + operations=[('operator',p,p+1) for p in range(112)]+pre_ops + operations += [('operator',p,-p-1) for p in range(112)]+native_ops + operations += [('operator',112+p,-p-1) for p in range(112)]+post_ops + operations += [('operator',112+p,p+1) for p in range(112)] + check=reverse(operations,expected[name],private=True) + bill=pre_cost+native_bill['dyadic_real_primitives']+post_cost + need(bill==costs[name],'Complete independently counted invoice') + if direction=='backward': + need(all(left(expected[name][112+p],p,-1)==atom(p) for p in selected), + 'Selected productive physical Y is original X') + if name=='normalized_backward': + for p in range(112): + x_part={key:v for key,v in expected[name][p].items() if key[1]<112} + need(x_part==(left(atom(p),p,1) if p in selected else atom(p)), + 'Exact ordered original-X normalization') + mistaken=deepcopy(expected[name]) + ai_y=matrix_apply(Ai,[atom(112+p) for p in range(112)]) + for p in range(112): + mistaken[p]=left(atom(p),p,1) if p in selected else atom(p) + add(mistaken[p],left(ai_y[p],p,-1) if p in selected else + {key:-v for key,v in ai_y[p].items()}) + need(mistaken!=expected[name], 'The actual Q order is material') + try: + reverse(operations,mistaken,private=True) + except ValueError: + wrong_Q_order.append(implementation+'/'+provider) + else: + raise ValueError('Wrong borrowed-source order D A^-1 was accepted') + check.update(dyadic_real_primitives=bill,native_mass=5073,native_children=3507, + helpers_restored_under_inherited_wrappers=408,owned_zero_outputs=8, + exact_Q_order_checked=True,physical_input_line_and_output_hole_checked=True) + checks[name]=check + reports[implementation][provider]={'programs':checks,'gauges':gauge_checks, + 'hadamard_inventory':inventory,'literal_inverse_orders':4} + print(implementation,provider,'six complete ordered words and seven gauges PASS',flush=True) + if implementation=='scaled': + retained_packet=packet + # A hidden residual can preserve the endpoint but must fail the zero check. + events=deepcopy(retained_packet['providers']['base']['gauge_words']['ordinary_inverse_X']) + position=next(i for i,e in enumerate(events) if e['kind']=='clear' and i) + events.insert(position,{'kind':'add','target':632,'source':0,'coefficient':'1','frame':1}) + bad,_=boundary(events,1) + wanted=[atom(i) for i in range(640)];wanted[:112]=matrix_apply(Hi,wanted[:112]);wanted[632]={} + reverse(bad,wanted,coherent=False) + try: + reverse(bad,wanted,coherent=True) + except ValueError as error: + mutation=str(error) + else: + raise ValueError('Hidden query erasure was accepted') + out={'status':'PASS_INDEPENDENT_STRUCTURED_S24_PHYSICAL_TRANSFER','implementations':reports, + 'complete_native_words_checked':24,'hidden_query_erasure_rejected':mutation, + 'hidden_query_erasure_endpoint_still_correct':True, + 'wrong_Q_order_rejected':wrong_Q_order, + 'scope':'Complete local words and coherent scalar gauges. Native phases use exact unchanged orientation-specific source records. No global route, caller exterior phase, hosting, recursive precision, or supplier claim.', + 'checker_sha256':sha256(Path(__file__).read_bytes()).hexdigest()} + args.out.mkdir(parents=True) + (args.out/'REVIEW.json').write_text(json.dumps(out,indent=2,sort_keys=True)+'\n') + (args.out/'INPUTS.json').write_text(json.dumps(INPUTS,indent=2,sort_keys=True)+'\n') + print(out['status'],flush=True) + + +if __name__=='__main__': + main() diff --git a/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/oblique-native-20261017/interior-cut/SYMMETRIC-RESPONSE-SEARCH.json b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/oblique-native-20261017/interior-cut/SYMMETRIC-RESPONSE-SEARCH.json new file mode 100644 index 0000000000..bf9094f379 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/frozen/lanes/oblique-native-20261017/interior-cut/SYMMETRIC-RESPONSE-SEARCH.json @@ -0,0 +1,6725 @@ +{ + 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0000000000..030f78ec50 --- /dev/null +++ b/research/raw-selected-centre-units/annexes/selected-interface-families/replay.py @@ -0,0 +1,115 @@ +#!/usr/bin/env python3 +"""Replay the six frozen checks for the selected-interface families.""" + +import argparse +import gzip +import hashlib +import json +from pathlib import Path +import shutil +import subprocess +import sys + + +HERE = Path(__file__).resolve().parent +BRIDGE = "lanes/bridge-review-20261017/" +INDEPENDENT = "lanes/independent-review-20261017/" +LIVE = "lanes/new-native-recipes-20261017/forward-eight-review-20261018/" +CASES = [ + ("structured", BRIDGE + "structured-centres-review-20261018/check_review.py", "fixed", + {"REVIEW.json": BRIDGE + "structured-centres-review-20261018/REVIEW.json"}), + ("minor-endpoints", BRIDGE + "structured-centres-review-20261018/check_interfaces.py", "fixed", + {"INTERFACES.json": BRIDGE + "structured-centres-review-20261018/INTERFACES.json"}), + ("signed-pivots", BRIDGE + "signed-centres-review-20261018/check_signed_pivots.py", "fixed", + {"SIGNED-PIVOTS.json": BRIDGE + "signed-centres-review-20261018/SIGNED-PIVOTS.json"}), + ("raw-words", INDEPENDENT + "check_new_raw.py", "file", + {"REVIEW.json": INDEPENDENT + "NEW-RAW-REVIEW-FINAL.json"}), + ("signed-words", INDEPENDENT + "check_new_signed.py", "file", + {"REVIEW.json": INDEPENDENT + "NEW-SIGNED-REVIEW.json"}), + ("live-eight", LIVE + "check.py", "directory", + {"REVIEW.json": LIVE + "final-normal/REVIEW.json", + "INPUTS.json": LIVE + "final-normal/INPUTS.json"}), +] + + +def digest(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def check_sources(manifest): + for entry in manifest["files"]: + path = HERE / entry["path"] + raw = path.read_bytes() + if len(raw) != entry["bytes"] or hashlib.sha256(raw).hexdigest() != entry["sha256"]: + raise ValueError("Source changed: " + entry["path"]) + if "decompressed_sha256" in entry: + if hashlib.sha256(gzip.decompress(raw)).hexdigest() != entry["decompressed_sha256"]: + raise ValueError("Compressed payload changed: " + entry["path"]) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + output = args.out.resolve() + if output.is_relative_to(HERE): + raise ValueError("The output directory must be outside the annex") + if output.exists(): + raise ValueError("The output directory must be new") + if shutil.disk_usage(HERE).free < 3 * 1024**3: + raise ValueError("At least 3 GiB free space is required") + manifest = json.loads((HERE / "SOURCES.json").read_text()) + check_sources(manifest) + output.mkdir(parents=True) + results = [] + for mode, flags in (("normal", []), ("optimized", ["-O"])): + scratch = output / ("source-" + mode) + shutil.copytree(HERE / "frozen", scratch) + for name, script, kind, expected_files in CASES: + target = output / name / mode + target.parent.mkdir(parents=True, exist_ok=True) + command = [sys.executable, "-I", *flags, "-B", str(scratch / script)] + if kind == "file": + target.mkdir() + command.extend(("--out", str(target / "REVIEW.json"))) + elif kind == "directory": + command.extend(("--out", str(target))) + print("RUN " + name + " " + mode, flush=True) + result = subprocess.run(command, cwd=scratch, stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, text=True, check=False) + target.mkdir(exist_ok=True) + (target / "stdout.log").write_text(result.stdout) + if result.returncode: + raise RuntimeError(name + " failed; read " + str(target / "stdout.log")) + files = [] + for filename, original in expected_files.items(): + actual = scratch / original if kind == "fixed" else target / filename + expected = HERE / "frozen" / original + if actual.read_bytes() != expected.read_bytes(): + raise ValueError(name + " differs from the frozen " + filename) + if kind == "fixed": + shutil.copyfile(actual, target / filename) + files.append({"name": filename, "sha256": digest(actual), + "matches_frozen_bytes": True}) + results.append({"check": name, "mode": mode, "files": files}) + print("PASS " + name + " " + mode, flush=True) + shutil.rmtree(scratch) + check_sources(manifest) + receipt = { + "status": "PASS_SELECTED_INTERFACE_FAMILIES_ANNEX", + "checks": results, + "source_files_checked": len(manifest["files"]), + "sources_sha256": digest(HERE / "SOURCES.json"), + "runner_sha256": digest(Path(__file__)), + "source_files_unchanged": True, + "original_scripts_unchanged": True, + "main_package_suite_run": False, + "retained_core_phase_suite_rerun": False, + "producer_emission_rerun": False, + } + (output / "REPLAY.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/FREEZE.json new file mode 100644 index 0000000000..06344d7802 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/FREEZE.json @@ -0,0 +1,41 @@ +{ + "accepted": [ + "Actual A8 ordinary inverse and fused upper factor", + "All complete-minor scalar-factor formulas and prefix denominators", + "Serial owned C0 and arbitrary data semantics", + "Exact signed fixed-odd-divisor scans and their separate costs", + "Source-backed common root-grid active-chain theorem" + ], + "contract": { + "completed_child": "Exact Gaussian-dyadic endpoint on every data and arbitrary helper column.", + "cost": "Odd scans, outer conversion, extra width, descriptors, complete binary guard and all unchanged native operations must be charged.", + "final_return": "Proved Gaussian-dyadic semantic endpoint before exact unscaling.", + "input": "Arbitrary Gaussian-dyadic root values; convert every numeric stream once, including borrowed data and helpers.", + "local_cut": "One legal common frame for data and C0; clear the owned C0 before frame assignment.", + "root_grid": "2^-P/L^K, K=M(D+1), with L=3 for A8 or L=45045 for the complete family." + }, + "date": "2026-10-17", + "files": { + "PRODUCER-REPLAY.json": "9dced005ccd264f95cce4193bbe45e0a00028669717cdf4ca7bf18640c50a349", + "REVIEW.json": "4dc2c2aaf6dd85c3b32d9508ca8dc89a7a9b0b470fe31cfcf0cf1810c36b8d41", + "REVIEW.md": "0eee1c869ba6c1c5e75075bc9dbae3324468a27a6b0dd45cd16e4f7973f9eb05", + "check_review.py": "b18eafaef07c03c0a692c7f7539aa83226e0ccabc135d00fc4705d7954277f0b", + "producer-replay/A8-ODD-GRID-WORDS.json": "525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9", + "producer-replay/A8-ODD-GRID.json": "0c1dc7cc08de30a14b42c744e73d3963a68acd83bc381f884867b85bfeaee96a", + "producer-replay/MINOR-FACTOR-WORDS.json": "8d106f08b5094a0ce15008bf3d5c3a904be62e04995438830b72a1e44047b9b3", + "producer-replay/MINOR-FACTORS.json": "daf9ef5e88b8dd0243eec4ffe0303115bbde57fbb3a12a908583e9fd74b05140" + }, + "limits": [ + "A8 content map still has rank 104 and nullity eight over Q", + "k13 ordinary block remains singular", + "Native local-word transfer is a separate review", + "No complete controller, owner schedule, hosting, precision invoice, supplier moment or kappa claim" + ], + "pr_standard": "/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md", + "publication": "No PR, commit, push or publication authorized or performed.", + "source_freezes": { + "A8": "97f00c72bc3baeb4ce3ca91b91d9e46d7978d7ec502bee77845f5484731bb086", + "family": "de05cc545581deadbe855e6ae214c9cda79a6b20add92948d066a95756ed4219" + }, + "status": "FROZEN_INDEPENDENT_COMPONENT_REVIEW" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/PRODUCER-REPLAY.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/PRODUCER-REPLAY.json new file mode 100644 index 0000000000..7ac433cb47 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/PRODUCER-REPLAY.json @@ -0,0 +1,18 @@ +{ + "A8-ODD-GRID-WORDS.json": { + "byte_identical": true, + "sha256": "525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9" + }, + "A8-ODD-GRID.json": { + "byte_identical": true, + "sha256": "0c1dc7cc08de30a14b42c744e73d3963a68acd83bc381f884867b85bfeaee96a" + }, + "MINOR-FACTOR-WORDS.json": { + "byte_identical": true, + "sha256": "8d106f08b5094a0ce15008bf3d5c3a904be62e04995438830b72a1e44047b9b3" + }, + "MINOR-FACTORS.json": { + "byte_identical": true, + "sha256": "daf9ef5e88b8dd0243eec4ffe0303115bbde57fbb3a12a908583e9fd74b05140" + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.json new file mode 100644 index 0000000000..86d616b74a --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.json @@ -0,0 +1,1598 @@ +{ + "A8_baseline": { + "H": { + "additional_binary_height": 2, + "division_sites": [], + "encoded_coefficient_checks": 56264, + "events": { + "add": 832, + "clear": 16, + "scale": 8 + }, + "max_row_l1": "121", + "old_real_primitives": 6720, + "prefix_odd_denominator_divides": 1, + "real_odd_scans": 0 + }, + "H_inverse": { + "additional_binary_height": 4, + "division_sites": [ + 54, + 162, + 270, + 378, + 486, + 594, + 702, + 810 + ], + "encoded_coefficient_checks": 57170, + "events": { + "add": 832, + "clear": 16, + "divide_odd": 8, + "scale": 8 + }, + "max_row_l1": "52", + "old_real_primitives": 6752, + "prefix_odd_denominator_divides": 3, + "real_odd_scans": 16 + }, + "H_inverse_fused_upper": { + "additional_binary_height": 4, + "division_sites": [ + 54, + 166, + 278, + 390, + 502, + 614, + 726, + 838 + ], + "encoded_coefficient_checks": 59234, + "events": { + "add": 864, + "clear": 16, + "divide_odd": 8, + "scale": 8 + }, + "max_row_l1": "52", + "old_real_primitives": 7008, + "prefix_odd_denominator_divides": 3, + "real_odd_scans": 16 + } + }, + "checker_sha256": "b18eafaef07c03c0a692c7f7539aa83226e0ccabc135d00fc4705d7954277f0b", + "formal_input_columns": 113, + "interface_sha256": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "limits": [ + "Only common-frame scalar factors are reviewed here", + "No new native recipe or H1 child is inserted by these words", + "Complete local transfer is a separate review", + "Binary guard constants, hosting, final dyadic endpoint and full supplier moment remain separate" + ], + "method": "Dense integer-grid basis replay, exact divisibility at every opcode, independent formula endpoints, and dense projector multiplication. 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The fixtures check the invariant and its necessary hypotheses.", + "recursive_grid_fixtures": [ + { + "completed_nodes": 1, + "maximum_height": 1, + "odd": 3, + "recursive_edges": 0 + }, + { + "completed_nodes": 1, + "maximum_height": 1, + "odd": 45045, + "recursive_edges": 0 + }, + { + "completed_nodes": 3, + "maximum_height": 2, + "odd": 3, + "recursive_edges": 1 + }, + { + "completed_nodes": 3, + "maximum_height": 2, + "odd": 45045, + "recursive_edges": 1 + }, + { + "completed_nodes": 7, + "maximum_height": 3, + "odd": 3, + "recursive_edges": 2 + }, + { + "completed_nodes": 7, + "maximum_height": 3, + "odd": 45045, + "recursive_edges": 2 + }, + { + "completed_nodes": 15, + "maximum_height": 4, + "odd": 3, + "recursive_edges": 3 + }, + { + "completed_nodes": 15, + "maximum_height": 4, + "odd": 45045, + "recursive_edges": 3 + }, + { + "completed_nodes": 31, + "maximum_height": 5, + "odd": 3, + "recursive_edges": 4 + }, + { + "completed_nodes": 31, + "maximum_height": 5, + "odd": 45045, + "recursive_edges": 4 + }, + { + "completed_nodes": 63, + "maximum_height": 6, + "odd": 3, + "recursive_edges": 5 + }, + { + "completed_nodes": 63, + "maximum_height": 6, + "odd": 45045, + "recursive_edges": 5 + } + ], + "signed_scan_checks": [ + { + "directions": 2, + "odd": 3, + "signed_inputs": 8190 + }, + { + "directions": 2, + "odd": 5, + "signed_inputs": 8190 + }, + { + "directions": 2, + "odd": 7, + "signed_inputs": 8190 + }, + { + "directions": 2, + "odd": 9, + "signed_inputs": 8190 + }, + { + "directions": 2, + "odd": 11, + "signed_inputs": 8190 + }, + { + "directions": 2, + "odd": 13, + "signed_inputs": 8190 + } + ], + "source_freezes": { + "FREEZE-A8-ODD-GRID.json": "97f00c72bc3baeb4ce3ca91b91d9e46d7978d7ec502bee77845f5484731bb086", + "FREEZE-MINOR-FACTORS.json": "de05cc545581deadbe855e6ae214c9cda79a6b20add92948d066a95756ed4219" + }, + "status": "PASS_INDEPENDENT_ODD_GRID_AND_MINOR_FACTORS", + "structural": { + "A8_nullity": 8, + "A8_rank": 104, + "R_E_K": "12 I8", + "R_U_R_U_transpose": "52 I8", + "content_singular_k": 1, + "minor_Gram_checks": 896, + "ordinary_singular_k": 13 + }, + "wrong_scatter_controls": 66 +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.md new file mode 100644 index 0000000000..555f0dd6b9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.md @@ -0,0 +1,339 @@ +# Independent review of the odd grid and complete-minor factors + +The A8 scalar factor and common-grid theorem pass this review. The general +complete-minor family also passes. These results remove an arithmetic +restriction of the dyadic emitter. They do not remove the A8 content +kernel, establish a new owner schedule, or prove a complete supplier. + +The accepted scope is exact scalar computation on arbitrary inputs at a +legal common-frame cut. One existing owned C0 suffices. The new divisions +are separate fixed odd-division scans. They are not old dyadic SCALEs or +new H1 children. Recursive use requires exact Gaussian-dyadic completed +children on all data and arbitrary helper columns, one root conversion of +all numeric streams, and a separately proved final dyadic endpoint. + +## Sources and independent checks + +The producer packets are +[A8-ODD-GRID.md](../../independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md) +and +[GENERAL-MINOR-FACTORS.md](../../independent-review-20261017/odd-grid-a8-20261017/GENERAL-MINOR-FACTORS.md). +Their frozen source hashes are in [REVIEW.json](REVIEW.json). The review +checks each frozen file before use. It also checks the actual new-core +interface hash, the retained model source SHA256 and Git blob identities, +and the four pinned PR source Git blobs. It does not claim a new live +GitHub refresh or a rerun of the PR3423 and PR3406 executable suites. + +The actual source is the eight-row R matrix in +`new-core-transfer-20261017/INTERFACE.json`, SHA256 +`c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746`. +The review derives its Gram matrices from those entries. It does not use +an abstract matrix with only the desired dimensions. + +The independent checker imports no producer module. It replays each +literal word as dense integer basis columns on a fixed exact grid. It +checks divisibility before each binary scale and each odd division. This +differs from the producer's Fraction-row replay. It checks every input +column, including arbitrary C0, every stored prefix, the final matrices, +and the complete scalar invoice. The three A8 baseline words and all 69 +family factors pass. The 66 nonempty family words each reject a changed +scatter sign. + +The checker also verifies signed division and multiplication on 49,140 +inputs over the six odd divisors. An independent modular inverse checks +each division output. Twelve recursive fixtures check the active-chain +height invariant and its failure for completed rational children. Those +fixtures support the proof below; they do not substitute for it. + +## Actual Gram matrices and the A8 inverse + +The first selected minor has ports +`[0,7,20,27,36,46,57,111]`. Let U be its 104-port complement. Every row of +R has 56 signed unit entries. Every row restricted to U has 52. Direct +calculation gives + +```text +R_U R_U^T = 52I_8, +K = R^T/4, +H = I_U-R_U^T R_U/4, +H^-1 = I_U-R_U^T R_U/48. +``` + +If `P=R_U^T R_U`, then `P^2=52P`. The P coefficient in either inverse +product is `-1/4-1/48+52/192=0`. Thus both inverse orders hold on arbitrary +ordinary inputs. H acts by -12 on the eight-dimensional query image and +by one on its complement. + +Modulo three, `R_U K_U=13I=I`. The eight K_U columns are independent, and +`H K_U=-12K_U=0`. Thus the old dyadic ring obstruction is real. Extending +the exact arithmetic to division by three removes this obstruction. +It does not change the source native operators. + +For row r_i, the inverse computes the complete query `r_i X` in C0, +divides it by 16 and three, then subtracts `r_i^T C0` from ordinary X. +The different row updates have zero cross products. Their product is the +stated inverse. The upper correction after that inverse is fused by +scattering through all entries of R_i instead. Its exact ordered map is + +```text +X_U' = X_U-R_U^T R_U X_U/48, +X_A' = X_A-R_A^T R_U X_U/48. +``` + +The selected scatter does not enter any later query. It therefore leaves +the cancellation and prefix-divisibility proof unchanged. The initial +C0 value has no effect, because C0 is owned and is cleared. No borrowed +data field is cleared or assumed zero. + +## All complete-minor unions + +The actual 112 columns partition into fourteen disjoint eight-port minors. +The review verifies all fourteen identities `R_Aj R_Aj^T=4I_8` and all +four-unit-per-row support counts. For any union S of k such minors, + +```text +R_U K_U = (14-k)I_8, +E = diag(-I_S,I_U), +R E K = (14-2k)I_8, +d = k-13. +``` + +These individual minor identities prove the assertion for every union; +there is no need to infer it from the first-k examples. + +For `k!=13`, direct rank-eight multiplication gives + +```text +H_k^-1 = I_U+K_U R_U/d, +A_k = E+K R/d. +``` + +For `k!=1,13`, the content inverse is + +```text +A_k^-1 = E+E K R E/(k-1). +``` + +For example, the nonidentity coefficient in `A_k A_k^-1` is proportional +to `d+(k-1)+(14-2k)=0`. The same identity proves the reverse order. This +proof retains the order of E, K and R. It does not commute a selected Q +operator through them. + +For A_k, first apply E, query `R_i E`, and scatter through `R_i^T`. For +its inverse, first apply E, query R_i, and scatter through `E R_i^T`. +For distinct row indices, `R_i E R_j^T=0`. Therefore earlier row updates +do not change a later complete query. This proves the two content words +as well as the ordinary words. The literal all-column checks agree with +these formulas. + +At k=0, the ordinary inverse and A_0 are the J inverse. Its odd divisor +is thirteen. At k=14, the ordinary space is empty. Its three ordinary +factor words are identities that do not use or clear C0. The content +maps are `A_14=-J` and `A_14^-1=-J^-1`. These endpoints are consistent +with both the formulas and the literal words. + +The two singular cases have different causes. At k=13, the complement +is one complete square minor. Hence `R_U^T R_U=4I_8`, so H_13 is zero +on all eight ordinary fields. No coefficient extension inverts it. +At k=1, `R E K=12I_8` and + +```text +A_1 E K=0, +E A_1=I-E K R/12. +``` + +The second matrix is a projector with trace 104. The checker separately +multiplies its dense integer numerator by itself and checks the trace. +Thus A_1 has rank 104 and nullity exactly eight over Q. Its kernel is +the image of E K. The explicit selected input Q is invertible and cannot +remove these kernel channels. A controller that needs A_1 inverse remains +invalid. A controller may use the retained selected Y information, but +must prove and price that use. + +## Prefix denominators and one C0 + +Write a factor's scalar denominator as `2^t o`, with o odd. Each row +query is completed before it is scaled or divided. A complete later query +equals that row's query on the module input, because all preceding row +updates cancel. It therefore has no new odd denominator. A partial query +can have denominator o from an earlier scatter, but it is not divided +while partial. The division adds one factor o to the complete query. +Scattering that value cannot add a second factor. This proves that every +prefix has an odd denominator dividing o relative to the module input, +including inputs that already have an odd denominator from a parent. + +The A8 inverse has t=4 and o=3. Its eight divisions together add at most +one ternary level, not eight. Across the full family, `t<=5` and +`o` belongs to `{1,3,5,7,9,11,13}`. The divisor nine means two ternary +levels. The binary argument is the same: a complete query cancels the +prior factor before another scale occurs. + +The family words use one initial CLEAR and one after each of the eight +rows, for nine CLEARs. The first CLEAR discards only the arbitrary owned +C0 input. Between rows C0 is zero and stays in the common frame. At exit +it is zero and can return to its private empty-frame convention. No +nonzero value is relabelled. The A8 baseline retains sixteen CLEARs; +the separate family packet removes the seven adjacent duplicate CLEARs. + +For any union of minors, each data-prefix row has 1-norm at most +`1+8*56/4=113`. A partial query has at most 56 terms, so its row 1-norm +is at most 6328. Unit-ADD arithmetic temporaries are at most 12656 times +the input magnitude, below `2^14` times that magnitude. The smaller +exact first-k norms in the receipt also pass the independent replay. +This is a factor guard, not a completed supplier precision constant. + +## Exact record scans + +For an odd o, division reads a bit b from least to most significant, +writes `a=(b-c) mod 2`, and sets `c'=(c+oa-b)/2`. The carry starts at +zero and remains in `0,...,o-1`. Summing the bit recurrence gives + +```text +o Q_unsigned = N_unsigned+2^w c_final. +``` + +For sign bits s_N and s_Q, exact signed division is equivalent to +`c_final=o s_Q-s_N`. On a valid input the quotient fits in the signed +width. The scan overwrites its input and needs only finite carry and sign +control. A nonmultiple must fail; numerator one is a decisive control. + +Multiplication uses `a=(ob+c) mod 2` and `c'=floor((ob+c)/2)`. Its signed +test is `c_final=o s_N-s_output`. The allocated guard prevents overflow. +Both scans preserve the record layout. The stated bound of `4(w_g+1)` +arithmetic-head steps per scan covers traversal, positioning and return. +Descriptor and record-counter work is additional linear work. The old +scalar price is not assigned to these scans. + +## Recursive common grid and cost + +The retained +[stopped-product source](../../interface-proof/rational-decoder/sources/notes/stopped-product-complex.tex) +explicitly implements this method with odd divisor 21. It includes root +dyadic inputs, arbitrary dirty auxiliaries, exact Gaussian-dyadic completed +children, active-chain denominator accumulation, and outer unscaling. +The new packet applies that existing method to the factors above. + +Fix a finite parent word with at most M odd factors. Let L be an odd +multiple of each factor's o. A completed child must have an exact +Gaussian-dyadic matrix on every data and arbitrary helper column. It then +preserves any existing odd denominator of its input. Only unfinished +calls can add odd factors. A live chain of at most D+1 nodes adds at most +`K=M(D+1)` factors L. + +At the root, choose one grid `2^-P/L^K` and multiply all padded numeric +numerators by `L^K`. This includes arbitrary borrowed values and all +numeric work streams. It does not scale addresses or descriptors. Any +nonzero numeric literal must use this representation. No local division +or recursive entry changes the format. The binary guard P must cover the +new complete event list. + +Every intermediate is then on the chosen grid. In particular, immediately +before each /o scan, the encoded numerator is divisible by o, because its +exact quotient is also on that grid. This is a consequence of the root +dyadic-input invariant. It is false for arbitrary integer numerators on +the finest grid. It is also false if completed children retain an odd +denominator and one counts only live depth. The independent fixtures check +both failure modes. + +At the final outer return, the proved Gaussian-dyadic endpoint implies +that each numeric numerator is divisible by `L^K`. Exact unscaling gives +the required original encoding, including every borrowed role's declared +endpoint. This conclusion needs the actual final semantic proof. A local +factor or denominator calculation does not supply it. + +For A8, use L=3. Both root conversions cost at most +`8 N K(w_g+1)` arithmetic-head steps, plus linear descriptor work, and +add at most 2K numerator bits. For the full family, a uniform choice is + +```text +L=45045=3^2*5*7*11*13 < 2^16. +``` + +It uses six prime scans for each multiplication or division by L. Both +root conversions cost at most `48 N K(w_g+1)`, plus descriptor work, +and add at most 16K bits. Here N counts all real numeric records, not +only active data. A factor with odd division adds sixteen real scans, +or at most `64 n(w_g+1)` arithmetic-head steps for n complex entries +per field, plus the retained linear stream work. + +If every child has at most `48e/73` axes, two recursive edges reduce the +axis count by more than half. Thus `D<=2 ceil(log2(d+1))` is safe. +Fixed M gives logarithmic extra width and `O(V log d)` root work. An +exact completed u-axis child adds at most u binary denominator bits and +row-norm factor `2^u`. A finite complete parent can therefore use the +stated linear guard recurrence once its own constants a and b are +calculated. This establishes a way to obtain the guard. It does not +establish those constants for an unspecified new controller. + +The common scalar scale commutes with exact linear native operators. +The conclusion does not apply to a rounded native operation without a +separate exactness proof. The read PR3423/PR3406 sources impose Newton +module and source-divisibility conditions in their own setting. PR3423 +also explicitly obtains the coefficient map `E^-1 A E` and exhibits +its difference from A. Those results neither ban odd grids here nor +prepare arbitrary dirty payloads for free. Their executable suites were +not rerun for this review. + +## Complete component invoices + +The independent literal recount gives the retained A8 baseline: + +| Factor | Old real primitives | Real /3 scans | CLEARs | +| --- | ---: | ---: | ---: | +| H | 6,720 | 0 | 16 | +| H inverse | 6,752 | 16 | 16 | +| Fused inverse and upper correction | 7,008 | 16 | 16 | + +All use zero new native children at the legal common-frame cuts. Their +maximum stored row 1-norms are 121, 52 and 52. The nine-CLEAR family words +subtract fourteen old primitives from each A8 row. The corresponding +S40 costs are 4,658, 4,706 and 5,986, with no odd scan. Its content map +and inverse cost 7,346 and 7,330. + +For the whole family, let `t=v2(4|k-13|)` and +`u=v2(4|k-1|)`. The nonempty word prices are + +```text +H_k: 7218-512k, +H_k inverse: 7186-512k+16t, +Fused: 7186-256k+16t, +A_k: 7186+16k+16t, +A_k inverse: 7186+16k+16u. +``` + +Each nontrivial odd divisor adds sixteen real scans. The independent +recount verifies every one of these formulas and every local assembly +sum in the producer table. Those assembly sums consume the prior +164,514-scalar core, its rank mass 5073, the stated physical exchange +prices, and the fourteen-scalar C1-through-C7 cleanup. They do not count +as a literal native transfer or a controller replay in this review. + +## Reproduction and conclusion + +Run from the workspace root: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/check_review.py +``` + +Expected status: + +```text +PASS_INDEPENDENT_ODD_GRID_AND_MINOR_FACTORS +``` + +The independent checker ran successfully. Both producer checkers also ran +with separate output paths in this review directory. Their two receipts +and two literal-word files match the frozen source bytes exactly, as +recorded in [PRODUCER-REPLAY.json](PRODUCER-REPLAY.json). + +No material defect remains in +the stated scalar and representation claims. The native local-word +transfer is reviewed in a separate lane. Complete phases and owners, +recursive hosting, the final dyadic endpoint, the complete binary guard, +and the supplier moment remain necessary for a complete construction. +No new kappa value follows from this packet alone. + +This review used substantial OpenAI Codex assistance. No PR, commit, push, +or publication was made. Before a future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/check_review.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/check_review.py new file mode 100644 index 0000000000..8e603e9c40 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/check_review.py @@ -0,0 +1,364 @@ +"""Review the odd-grid factors with integer-grid basis columns.""" + +from collections import Counter +from fractions import Fraction +from hashlib import sha1, sha256 +import json +from math import gcd, lcm +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SOURCE = LANES / "independent-review-20261017/odd-grid-a8-20261017" +INTERFACE = LANES / "new-core-transfer-20261017/INTERFACE.json" +INTERFACE_PIN = "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746" +FREEZES = { + "FREEZE-A8-ODD-GRID.json": "97f00c72bc3baeb4ce3ca91b91d9e46d7978d7ec502bee77845f5484731bb086", + "FREEZE-MINOR-FACTORS.json": "de05cc545581deadbe855e6ae214c9cda79a6b20add92948d066a95756ed4219", +} +C = 112 +N = 113 + + +def require(ok, message): + if not ok: + raise ValueError(message) + + +def split(n): + t = 0 + while n % 2 == 0: + n //= 2 + t += 1 + return t, n + + +def sources(): + for name, digest in FREEZES.items(): + raw = (SOURCE / name).read_bytes() + require(sha256(raw).hexdigest() == digest, name) + data = json.loads(raw) + for path, pin in data["files"].items(): + content = (SOURCE / path).read_bytes() + if isinstance(pin, dict): + require(len(content) == pin["bytes"], path + " byte count") + pin = pin["sha256"] + require(sha256(content).hexdigest() == pin, path) + require(sha256(INTERFACE.read_bytes()).hexdigest() == INTERFACE_PIN, "Actual R pin") + pins = json.loads((SOURCE / "SOURCE-PINS.json").read_text()) + for item in pins["sources"]: + raw = (SOURCE / item["local_copy"]).read_bytes() + require(sha256(raw).hexdigest() == item["sha256"], "Model source SHA256") + require(sha1(b"blob " + str(len(raw)).encode() + b"\0" + raw).hexdigest() == item["git_blob"], "Model Git blob") + pr_pins = json.loads((SOURCE / "sources/GITHUB-PINS.json").read_text()) + for item in pr_pins: + raw = (SOURCE / "sources" / item["local"]).read_bytes() + require(sha1(b"blob " + str(len(raw)).encode() + b"\0" + raw).hexdigest() == item["git_blob"], "Pinned PR Git blob") + rows = json.loads(INTERFACE.read_text())["R"] + r = [[Fraction(row.get(str(p), 0)) for p in range(112)] for row in rows] + require(len(r) == 8 and all(x in (-1, 0, 1) for row in r for x in row), "Signed unit R") + r = [[int(x) for x in row] for row in r] + require(all(sum(x != 0 for x in row) == 56 for row in r), "Actual row support") + report = json.loads((SOURCE / "MINOR-FACTORS.json").read_text()) + minors = report["minors"] + require(len(minors) == 14 and sorted(p for minor in minors for p in minor) == list(range(112)), "Complete minor partition") + for minor in minors: + require(len(minor) == 8, "Eight columns per minor") + for i in range(8): + require(sum(r[i][p] != 0 for p in minor) == 4, "Four signed units per minor row") + for j in range(8): + require(sum(r[i][p] * r[j][p] for p in minor) == (4 if i == j else 0), "Actual minor Gram 4I") + g = [[sum(r[i][p] * r[i][q] for i in range(8)) for q in range(112)] for p in range(112)] + return r, g, minors, report, pins, pr_pins + + +def endpoint(g, selected, kind, denominator): + ordinary = set(range(112)) - selected + k = len(selected) // 8 + out = [[0] * N for _ in range(N)] + for p in range(112): + out[p][p] = denominator * (-1 if kind.startswith("content") and p in selected else 1) + for q in range(112): + if kind == "H": + coefficient = Fraction(-g[p][q], 4) if p in ordinary and q in ordinary else 0 + elif kind == "inverse": + coefficient = Fraction(g[p][q], 4 * (k - 13)) if p in ordinary and q in ordinary else 0 + elif kind == "fused": + coefficient = Fraction(g[p][q], 4 * (k - 13)) if q in ordinary else 0 + elif kind == "content": + coefficient = Fraction(g[p][q], 4 * (k - 13)) + else: + sign = (-1 if p in selected else 1) * (-1 if q in selected else 1) + coefficient = Fraction(sign * g[p][q], 4 * (k - 1)) + value = denominator * coefficient + require(Fraction(value).denominator == 1, "Endpoint fits the chosen integer grid") + out[p][q] += int(value) + return out + + +def execute(word, denominator, odd, clear_count): + state = [[denominator if i == j else 0 for j in range(N)] for i in range(N)] + counts = Counter() + old_cost = 0 + max_norm_numerator = denominator + binary_height = 0 + odd_denominator = 1 + divisions = [] + changed_coefficients = 0 + for position, event in enumerate(word): + kind, target = event[:2] + require(0 <= target < N, "Declared target") + counts[kind] += 1 + if kind == "clear": + require(target == C, "Only the owned accumulator is cleared") + state[C] = [0] * N + old_cost += 2 + elif kind == "add": + source, coefficient = event[2], Fraction(event[3]) + require(0 <= source < N and source != target and coefficient in (-1, 1), "Distinct unit ADD") + sign = int(coefficient) + state[target] = [a + sign * b for a, b in zip(state[target], state[source])] + old_cost += 8 + elif kind == "scale": + q = Fraction(event[2]) + require(target == C or q == -1, "Only signs on data") + require(abs(q.numerator) == 1 and q.denominator & (q.denominator - 1) == 0, "Signed binary SCALE") + require(all(v % q.denominator == 0 for v in state[target]), "Exact binary scale on every encoded basis column") + state[target] = [v // q.denominator * q.numerator for v in state[target]] + old_cost += 2 * ((q.denominator.bit_length() - 1) + (q.numerator < 0)) + else: + require(kind == "divide_odd" and target == C and event[2] == odd and odd > 1, "Distinct fixed odd-division opcode") + before_odd = lcm(*(split(denominator // gcd(abs(v), denominator))[1] for v in state[C])) + require(before_odd == 1, "The complete query cancels prior local odd denominators") + require(all(v % odd == 0 for v in state[C]), "Every encoded basis numerator is divisible at the scan") + state[C] = [v // odd for v in state[C]] + divisions.append(position) + max_norm_numerator = max(max_norm_numerator, sum(abs(v) for v in state[target])) + for v in state[target]: + if not v: + continue + binary, local_odd = split(denominator // gcd(abs(v), denominator)) + binary_height = max(binary_height, binary) + odd_denominator = lcm(odd_denominator, local_odd) + require(odd % local_odd == 0, "At most one stated odd denominator at every prefix") + changed_coefficients += 1 + if word: + require(counts["clear"] == clear_count and not any(state[C]), "Owned C0 clears and final zero") + require(all(row[C] == 0 for row in state), "No output depends on initial owned C0") + return state, { + "old_real_primitives": old_cost, + "real_odd_scans": 2 * len(divisions), + "events": dict(counts), + "additional_binary_height": binary_height, + "prefix_odd_denominator_divides": odd_denominator, + "max_row_l1": str(Fraction(max_norm_numerator, denominator)), + "encoded_coefficient_checks": changed_coefficients, + "division_sites": divisions, + } + + +def compare(receipt, producer, baseline=False): + fields = { + "old_real_primitives": "old_real_primitives", + "real_odd_scans": "real_division_by_3_scans" if baseline else "real_odd_scans", + "additional_binary_height": "binary_height" if baseline else "additional_binary_height", + "max_row_l1": "max_coefficient_row_l1" if baseline else "max_row_l1", + "events": "event_counts" if baseline else "events", + } + for ours, theirs in fields.items(): + require(receipt[ours] == producer[theirs], "Independent receipt field " + ours) + + +def factor_checks(g, minors, family): + words = json.loads((SOURCE / "A8-ODD-GRID-WORDS.json").read_text()) + reports = json.loads((SOURCE / "A8-ODD-GRID.json").read_text()) + selected = set(minors[0]) + baseline = {} + for name, kind in [("H", "H"), ("H_inverse", "inverse"), ("H_inverse_fused_upper", "fused")]: + den, odd = (4, 1) if kind == "H" else (48, 3) + actual, receipt = execute(words[name], den, odd, 16) + require(actual == endpoint(g, selected, kind, den), "A8 full basis endpoint") + compare(receipt, reports["local_factors"][name], True) + require(receipt["old_real_primitives"] == {"H": 6720, "inverse": 6752, "fused": 7008}[kind], "A8 baseline invoice") + baseline[name] = receipt + all_words = json.loads((SOURCE / "MINOR-FACTOR-WORDS.json").read_text()) + all_receipts, controls = {}, 0 + for k in range(15): + selected = set(p for minor in minors[:k] for p in minor) + if k == 13: + ordinary = set(range(112)) - selected + require(all(g[p][q] == (4 if p == q else 0) for p in ordinary for q in ordinary), "H13 is zero on all ordinary fields") + continue + case = {} + for kind, word in all_words[str(k)].items(): + den = 4 if kind == "H" else 4 * abs(k - (1 if kind == "content_inverse" else 13)) + if not word: + require(k == 14 and kind in ["H", "inverse", "fused"], "Only the empty ordinary identities") + den = 1 + binary, odd = split(den) + actual, receipt = execute(word, den, odd, 9) + want = endpoint(g, selected, kind, den) + if not word: + want[C][C] = den + require(actual == want, "Family full basis endpoint: " + str(k) + " " + kind) + compare(receipt, family["cases"][str(k)][kind]) + closed_cost = { + "H": 7218 - 512 * k, + "inverse": 7186 - 512 * k + 16 * binary, + "fused": 7186 - 256 * k + 16 * binary, + "content": 7186 + 16 * k + 16 * binary, + "content_inverse": 7186 + 16 * k + 16 * binary, + }[kind] if word else 0 + require(receipt["old_real_primitives"] == closed_cost + and receipt["real_odd_scans"] == (16 if word and odd > 1 else 0), "Independent closed invoice") + if word: + require(receipt["additional_binary_height"] <= 5, "Uniform binary height") + require(Fraction(receipt["max_row_l1"]) <= 6328, "Uniform prefix norm") + first_scatter = next(i for i, e in enumerate(word) if e[0] == "add" and e[1] != C) + wrong = [list(e) for e in word] + wrong[first_scatter][3] = str(-Fraction(wrong[first_scatter][3])) + try: + bad, _ = execute(wrong, den, odd, 9) + except ValueError as error: + require(str(error) in { + "Exact binary scale on every encoded basis column", + "The complete query cancels prior local odd denominators", + "Every encoded basis numerator is divisible at the scan", + "At most one stated odd denominator at every prefix"}, "Expected mutation rejection") + else: + require(bad != want, "Wrong scatter changes the exact endpoint") + controls += 1 + case[kind] = receipt + predicted = family["cases"][str(k)]["predicted_local"] + require(predicted["balanced_F_old"] == 164514 + 416 * k + 14 + case["H"]["old_real_primitives"] + and predicted["balanced_B_old"] == 164514 + 208 * k + 14 + case["inverse"]["old_real_primitives"] + and predicted["fused_B_old"] == 164514 + 208 * k + 14 + case["fused"]["old_real_primitives"], + "Conditional local assembly sums") + all_receipts[str(k)] = case + require(sum(len(c) for c in all_receipts.values()) == 69 and controls == 66, "All factor and mutation cases") + return baseline, all_receipts, controls + + +def structural_checks(r, g, minors): + a = set(minors[0]) + e = [-1 if p in a else 1 for p in range(112)] + for i in range(8): + for j in range(8): + require(sum(r[i][p] * r[j][p] for p in range(112) if p not in a) == (52 if i == j else 0), "Actual A8 Gram 52I") + require(sum(r[i][p] * e[p] * r[j][p] for p in range(112)) == (48 if i == j else 0), "R E K=12I") + # Multiply the scaled projector independently as dense integer matrices. + projector = [[48 * (p == q) - e[p] * g[p][q] for q in range(112)] for p in range(112)] + columns = list(zip(*projector)) + require(all(sum(x * y for x, y in zip(row, col)) == 48 * projector[p][q] + for p, row in enumerate(projector) for q, col in enumerate(columns)), "E A8 is a projector over Q") + require(sum(projector[p][p] for p in range(112)) == 48 * 104, "Projector trace and rank 104") + for p in range(112): + for i in range(8): + require(sum(projector[p][q] * e[q] * r[i][q] for q in range(112)) == 0, "Its kernel is the independent eight-channel E K image") + return {"R_U_R_U_transpose": "52 I8", "R_E_K": "12 I8", "A8_rank": 104, "A8_nullity": 8, + "ordinary_singular_k": 13, "content_singular_k": 1, "minor_Gram_checks": 14 * 64} + + +def bit_scan(number, width, odd, inverse): + source = number % (1 << width) + carry = 0 + output = 0 + for i in range(width): + bit = (source >> i) & 1 + if inverse: + value = (bit - carry) & 1 + carry = (carry + odd * value - bit) // 2 + else: + value, carry = (odd * bit + carry) & 1, (odd * bit + carry) // 2 + require(0 <= carry < odd, "Finite scan carry bound") + output |= value << i + input_sign = (source >> (width - 1)) & 1 + output_sign = (output >> (width - 1)) & 1 + valid = carry == (odd * output_sign - input_sign if inverse else odd * input_sign - output_sign) + return valid, output - (1 << width) * output_sign + + +def scan_checks(): + odds = [3, 5, 7, 9, 11, 13] + results = [] + for odd in odds: + count = 0 + for width in range(1, 13): + modulus = 1 << width + inverse_modulus = pow(odd, -1, modulus) + lo, hi = -modulus // 2, modulus // 2 + for number in range(lo, hi): + valid, quotient = bit_scan(number, width, odd, True) + require(quotient % modulus == (number * inverse_modulus) % modulus, "Independent modular quotient") + require(valid == (number % odd == 0) and (not valid or quotient * odd == number), "Signed exact division at all tested inputs") + good, product = bit_scan(number, width, odd, False) + require(good == (lo <= number * odd < hi) and (not good or product == number * odd), "Signed multiplication and guard test") + count += 1 + require(not bit_scan(1, 12, odd, True)[0], "Unconverted finest-grid numerator fails") + results.append({"odd": odd, "signed_inputs": count, "directions": 2}) + require(lcm(*odds) == 45045 and 45045 < 2**16 and 45045 == 3 * 3 * 5 * 7 * 11 * 13, "Uniform root divisor and six scans") + return results + + +def recursive_grid_check(depth, odd): + scale = odd ** (depth + 1) + rows = [[scale, 0], [0, scale]] + peak_height = 0 + calls = 0 + + def visit(remaining): + nonlocal peak_height, calls, rows + calls += 1 + saved = [list(r) for r in rows] + rows[0] = [a + b for a, b in zip(rows[0], rows[1])] + require(all(v % odd == 0 for v in rows[0]), "Active-chain grid divisibility") + rows[0] = [v // odd for v in rows[0]] + for row in rows: + for v in row: + d, h = scale // gcd(abs(v), scale), 0 + while d > 1: + require(d % odd == 0, "Fixture denominator power") + d //= odd + h += 1 + peak_height = max(peak_height, h) + if remaining: + visit(remaining - 1) + visit(remaining - 1) + rows[0] = [odd * a - b for a, b in zip(rows[0], rows[1])] + require(rows == saved, "Every complete child restores both arbitrary columns") + + visit(depth) + require(rows == [[scale, 0], [0, scale]] and peak_height == depth + 1, "Dyadic outer endpoint and depth-only height") + # Three completed rational children defeat a depth-one height budget. + wrong = odd**2 + for _ in range(2): + require(wrong % odd == 0, "Rational-endpoint control setup") + wrong //= odd + require(wrong % odd != 0, "Completed rational children require another bound") + return {"recursive_edges": depth, "completed_nodes": calls, "odd": odd, "maximum_height": peak_height} + + +def main(): + r, g, minors, family, pins, pr_pins = sources() + structural = structural_checks(r, g, minors) + baseline, factors, mutations = factor_checks(g, minors, family) + scans = scan_checks() + recursive = [recursive_grid_check(depth, odd) for depth in range(6) for odd in [3, 45045]] + out = {"status": "PASS_INDEPENDENT_ODD_GRID_AND_MINOR_FACTORS", "source_freezes": FREEZES, + "interface_sha256": INTERFACE_PIN, "model_sources": pins["sources"], "pinned_pr_sources": pr_pins, + "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "method": "Dense integer-grid basis replay, exact divisibility at every opcode, independent formula endpoints, and dense projector multiplication. No producer module is imported.", + "formal_input_columns": 113, "structural": structural, "A8_baseline": baseline, + "minor_factors": factors, "wrong_scatter_controls": mutations, + "signed_scan_checks": scans, "recursive_grid_fixtures": recursive, + "proof_scope": "The source-backed active-chain proof covers general recursion. The fixtures check the invariant and its necessary hypotheses.", + "limits": ["Only common-frame scalar factors are reviewed here", "No new native recipe or H1 child is inserted by these words", "Complete local transfer is a separate review", "Binary guard constants, hosting, final dyadic endpoint and full supplier moment remain separate"]} + (HERE / "REVIEW.json").write_text(json.dumps(out, sort_keys=True, indent=2) + "\n") + print(out["status"]) + print(json.dumps({"factors": 69, "A8_baselines": 3, "columns": 113, "mutations": mutations, + "signed_scan_inputs": sum(s["signed_inputs"] for s in scans), "recursive_fixtures": len(recursive)}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/producer-replay/A8-ODD-GRID-WORDS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/producer-replay/A8-ODD-GRID-WORDS.json new file mode 100644 index 0000000000..c2985f02fc --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017/producer-replay/A8-ODD-GRID-WORDS.json @@ -0,0 +1 @@ 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321, + 385, + 14, + 22, + 38, + 70, + 134, + 262, + 26, + 74, + 138, + 266, + 50, + 146, + 274, + 98, + 162, + 290, + 194, + 322, + 386, + 28, + 44, + 140, + 268, + 84, + 148, + 276, + 100, + 164, + 292, + 196, + 324, + 388, + 56, + 88, + 152, + 280, + 104, + 168, + 296, + 200, + 328, + 392, + 112, + 176, + 304, + 208, + 336, + 400, + 224, + 352, + 416, + 448, + 508, + 506, + 502, + 494, + 478, + 446, + 382, + 254, + 505, + 501, + 493, + 477, + 445, + 381, + 253, + 499, + 491, + 475, + 443, + 379, + 251, + 487, + 471, + 439, + 375, + 247, + 463, + 431, + 367, + 239, + 415, + 351, + 223, + 319, + 191 + ], + "program_sha256": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3", + "scope": "Exact scalar interface only. Native endpoint mixing and a changed controller are not admitted.", + "status": "PASS_CENTRE_FREE_SCALAR_INTERFACE", + "target_endpoint": "T_q = F C_q^-1; distinct q have distinct frames", + "word_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz new file mode 100644 index 0000000000..aaebe41c87 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json new file mode 100644 index 0000000000..3edeb9b007 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.json @@ -0,0 +1,193 @@ +{ + "checker_sha256": "e552e541bf681dc411aeb987bf0903efa367f2acdd3af4d611999b7e947d0b9b", + "component_signs": [ + 1, + -1, + 1, + -1, + 1, + -1, + 1, + -1 + ], + "determinants": { + "data": "1", + "full_response": "7205759403792793600000000", + "large_response": "390625", + "ordinary": "1/16", + "selected": "1/16" + }, + "gauge_reports": { + "data": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "data_inverse": { + "all_input_columns": 112, + "gates": 553, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 4720 + }, + "ordinary": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + }, + "ordinary_inverse": { + "all_input_columns": 112, + "gates": 237, + "native_children": 0, + "owned_fields": 0, + "scalar_real_primitives": 1648 + } + }, + "geometry_sha256": "77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2", + "independent_elimination_prices": { + "data": 10982, + "data_inverse": 10982, + "ordinary": 7384, + "ordinary_inverse": 7384 + }, + "partner_centre_minor_determinant": "-4", + "partner_ports": [ + 20, + 27, + 53, + 57, + 72, + 94, + 105, + 111 + ], + "payload_decompressed_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "providers": { + "base": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + } + }, + "residual_ports": [ + 2, + 9, + 10, + 11, + 13, + 14, + 16, + 21, + 25, + 37, + 41, + 43, + 44, + 47, + 51, + 52, + 61, + 62, + 63, + 70, + 71, + 76, + 78, + 81, + 87, + 90, + 91, + 92, + 99, + 104, + 106, + 110 + ], + "response_space_sha256": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "scope": "Native core and exact common-frame gauges. The structured gauge words agree with independent exact elimination. Physical selected boundaries, inter-stage views, supplier decoder, and recursive pricing remain separate.", + "selected_centre_minor_determinant": "-4", + "selected_ports": [ + 0, + 7, + 15, + 36, + 42, + 46, + 79, + 89 + ], + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES", + "symmetric_source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md new file mode 100644 index 0000000000..85b92e731e --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT.md @@ -0,0 +1,201 @@ +# Eight selected ports with dyadic inverse gauges + +This packet changes the signs of four of the eight six-mode components +in the native 48-port response. The selected and ordinary principal +blocks are both dyadic units. Only eight ports are selected. The native +core has the same children as the preceding response. This result does +not yet give a complete supplier or a terminal decoder. + +The earlier exclusion of all sets of at most nine ports applies to the +fixed positive component response. The response in this packet is +different. No conclusion of that exclusion is changed. + +## The signed response + +Use the exact pair columns and centre rows in the frozen +`../partial-orthogonal/SYMMETRIC-FAMILY.json`. Each vertex `v` has six +orthogonal signed pair columns of squared norm two. Let `P_v` be the +orthogonal projector onto their span. Let `K_v` be their sum, as a row. +The projectors are orthogonal and sum to the identity on 48 ports. Also, + +```text +K K^T = 12 I_8, +P_v K_w^T = delta(v,w) K_w^T. +``` + +Put `alpha=(1,-1,1,-1,1,-1,1,-1)` and `D_alpha=diag(alpha)`. Define + +```text +G = sum_v alpha_v P_v, +J = G - K^T D_alpha K / 2. +``` + +On each physical pair, the two component projectors are the sum and +difference projectors. Thus `G` is a signed permutation of physical +ports. If the signs at the two endpoints agree, it is a signed identity +on that pair. If they differ, it is a signed exchange. In particular, +`G^2=I` and `G K^T=K^T D_alpha`. + +The inverse and determinant on this block are + +```text +J^-1 = G - K^T D_alpha K / 10, +det(J) = 5^8. +``` + +These formulas follow on the six-dimensional range of each `P_v`. +There are five eigenvalues `alpha_v` and one eigenvalue `-5 alpha_v`. +The full response is not a dyadic unit. This is not needed for the +principal-block interface below. + +The other 64 ports retain exactly the negative Hadamard response from +the preceding packet. Its square is `4I`. There is no coupling between +these 64 ports and the 48-port block. + +## The eight selected ports + +Select, in this order, + +```text +S = [0, 7, 15, 36, 42, 46, 79, 89]. +``` + +The corresponding selected graph is two unbalanced four-cycles, on +vertices `0,1,2,3` and `4,5,6,7`. Each edge crosses the sign partition. +Only one physical port from each of these eight pairs is selected. +Consequently `G_SS=0`. The square centre minor `K_S` has determinant +`-4` and is a dyadic unit. + +Let `L=J_SS` and `H=J_UU`, where `U` contains the other 40 ports. Then + +```text +L = -K_S^T D_alpha K_S / 2, +(J^-1)_SS = L/5, +det(L) = 1/16. +``` + +Jacobi's complementary principal-minor identity gives + +```text +det(H) = det(J) det((J^-1)_SS) = det(L) = 1/16. +``` + +Both `L` and `H` have dyadic entries and dyadic-unit determinants. Their +inverses therefore have dyadic entries. The checker forms the complete +inverse matrices and checks both inverse orders exactly. + +Eight is the minimum possible selection size within this sign family. +For any component signs, every entry of `J^-1` lies in +`(1/5) Z[1/2]`, and `det(J)` is a signed dyadic unit times `5^8`. +For a selected set of size `s<8`, Jacobi's identity therefore puts +`det(J_UU)` in `5^(8-s) Z[1/2]`. It cannot be a dyadic unit. This proof +does not constrain response families beyond the stated component signs. + +## A scalar ordinary gauge with no extra storage + +Let `T=G(S)` be the eight physical partners of `S`. Let `R` contain the +remaining 32 ordinary ports. The packet uses sorted physical port order +for both sets. Since `G` is an involution, it is zero on the `T,T` and +`T,R` blocks, and its `R,R` block `G_R` is a signed permutation. +The square matrix `K_T` is a dyadic unit. + +The following six steps implement `H` on arbitrary ordinary data +`(t,r)`. In the middle of the word, the eight fields at `T` hold centre +coordinates. They are data fields, not additional clean workspace. + +```text +t <- K_T t +t <- t + K_R r +t <- -D_alpha t/2 +r <- G_R r +r <- r + K_R^T t +t <- K_T^T t +``` + +Expansion gives + +```text +t_final = -K_T^T D_alpha (K_T t + K_R r)/2, +r_final = G_R r - K_R^T D_alpha (K_T t + K_R r)/2. +``` + +This is exactly `H`. Every factor is a dyadic unit. Reverse the steps +and invert each factor to obtain `H^-1`. The emitted word includes every +signed exchange. It uses no owned centre field and no native child. + +## The data interface + +Write the 48-port response in blocks as `J=[[L,B],[D,H]]`. The retained +selected exchange, raw backward core, ordinary `H^-1` gauge, and upper +subtraction of `B` give the data map + +```text +A = [[-L + B H^-1 D, -B H^-1], + [-H^-1 D, H^-1]]. +``` + +Its inverse and determinant are + +```text +A^-1 = [[-L^-1, -L^-1 B], + [-D L^-1, H - D L^-1 B]], +det(A) = (-1)^8 det(L)/det(H) = 1. +``` + +An explicit factorization is + +```text +A = [[I,-B],[0,I]] diag(-L,H^-1) [[I,0],[-D,I]]. +``` + +The checker emits these two shears, the eight-port factor `-L`, and the +ordinary inverse word. It also computes an independent exact elimination +of `A` over the dyadic ring. The two resulting maps agree on all input +columns. All four emitted gauges act as the identity on the separate +64-port block; its gauge is a separate physical-boundary obligation. + +| Common-frame gauge | Real scalar primitives | Extra owned fields | Native children | +| --- | ---: | ---: | ---: | +| `H` | 1,648 | 0 | 0 | +| `H^-1` | 1,648 | 0 | 0 | +| `A` | 4,720 | 0 | 0 | +| `A^-1` | 4,720 | 0 | 0 | + +For clarity about the selected phase, with logical input +`x=(a,u), y=(b,v)` and selected intrinsic operator `Q`, the corresponding +backward interface has data part `A(Qa,u)` and borrowed part `(Q^-1 b,-v)`. +The selected retired Y carries `Qa` in its logical hole representation. +This is physical completed `a`, not a free conversion of `Qa` to `a`. +The packet does not assume that `Q` commutes with `A`, `B`, or `D`. + +## Native word and checks + +Only scalar transfer coefficients in the pinned one-way core are changed. +All native child records remain byte-identical. The exact replay checks +both providers and both directions on all 640 independent input columns. +It checks restoration of all 408 arbitrary borrowed helper fields, +all 91 private zero buffers, and all eight owned C fields. + +The core costs 87,360 real scalar primitives, has 3,507 native children, +and has native rank mass 5,073 in each direction. Full boundary gauges, +source access, inter-stage transport, decoder phases, and recursive +children must still be charged in a complete supplier. + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py +``` + +Both commands must print `PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES` and +produce byte-identical receipts and payloads. `FREEZE.json` records the +source, checker, proof, receipt, and native payload hashes. + +This is AI-assisted research. It builds on the oblique-native interior +response, the controller lane's pair geometry and structured centre +response, and the new-core-transfer native replay. The bridge-review +lane supplied the six-step ordinary gauge and the general data-interface +inverse. The budget-geometry lane independently derived the sharp +eight-port lower bound for this sign family. This packet makes no kappa +or frontier claim. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json new file mode 100644 index 0000000000..bed49bcd17 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json @@ -0,0 +1,12 @@ +{ + "artifacts": { + "BIPARTITE-EIGHT-PROGRAM.json.gz": "b2fb08cb6325003cf1fa8eaa7bd29279a437ddfc5b9bd0d24561959cd829c01f", + "BIPARTITE-EIGHT.json": "da5e354b51adb14447d073fb7867902398686471d8592d1c90860ca4aec25771", + "BIPARTITE-EIGHT.md": "d6cf5e7b2f8adb70a0eeeace3b9528e5c759961de1d79a79c8dbe6e76f36d3dc", + "check_bipartite_eight.py": "e552e541bf681dc411aeb987bf0903efa367f2acdd3af4d611999b7e947d0b9b" + }, + "payload_decompressed_sha256": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "schema": "bipartite-eight-native-gauges-v1", + "scope": "Changed native response and exact common-frame ordinary/data unit gauges with8selectedports. Physical boundaries, inter-stage source access, full decoder, and recursive supplier pricing remain separate.", + "validation": "Normal and python -O runs give byte-identical receipts and native payloads. Both providers and directions pass all640columns. Structured scalar gauges agree with independent exact dyadic elimination on all112columns." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py new file mode 100644 index 0000000000..ba4d1213f8 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/bipartite-eight-20261018/check_bipartite_eight.py @@ -0,0 +1,345 @@ +#!/usr/bin/env python3 +"""Check a signed response with eight selected ports and dyadic gauges.""" +import ast +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import sys + +HERE = Path(__file__).resolve().parent +STRUCTURED = HERE.parent / 'structured-centres' +sys.path.insert(0, str(STRUCTURED)) +import check_structured_centres as source +import check_rank8_gauges as gauge + +p = source.p +SELECTED = [0, 7, 15, 36, 42, 46, 79, 89] +SIGNS = [1, -1, 1, -1, 1, -1, 1, -1] + + +def restrict(matrix, ports): + index = {port: i for i, port in enumerate(ports)} + return [{index[j]: value for j, value in matrix[i].items() if j in index} + for i in ports] + + +def dyadic(value): + return value.denominator & (value.denominator - 1) == 0 + + +def unit(value): + numerator = abs(value.numerator) + return numerator and numerator & (numerator - 1) == 0 and dyadic(value) + + +def inverse_word(word): + result = [] + for event in reversed(word): + gate = event[1] + if gate[0] == 'add': + result.append(gauge.scalar('add', gate[1][1], gate[2][1], -F(*gate[3:5]))) + else: + p.need(gate[0] == 'scale', 'Invertible scalar gate') + result.append(gauge.scalar('scale', gate[1][1], 1 / F(*gate[2:4]))) + return result + + +def swap_word(left, right): + return [gauge.scalar('add', left, right, F(1)), + gauge.scalar('add', right, left, F(-1)), + gauge.scalar('add', left, right, F(1)), + gauge.scalar('scale', right, F(-1))] + + +def monomial_word(matrix, ports): + word, seen = [], set() + for i in ports: + if i in seen: + continue + p.need(len(matrix[i]) == 1, 'Monomial row') + j, coefficient = next(iter(matrix[i].items())) + p.need(j in ports and coefficient in (-1, 1), 'Signed closed monomial') + if i != j: + p.need(matrix[j] == {i: coefficient}, 'Involutory signed pair') + word += swap_word(i, j) + if coefficient == -1: + word += [gauge.scalar('scale', i, F(-1)), gauge.scalar('scale', j, F(-1))] + elif coefficient == -1: + word.append(gauge.scalar('scale', i, F(-1))) + seen.update((i, j)) + return word + + +def factor(matrix, ports): + """Reduce a dyadic-unit matrix with dyadic ADDs and unit SCALEs.""" + size = len(ports) + rows = [[matrix[i].get(j, F(0)) for j in range(size)] for i in range(size)] + word = [] + + def add(target, source_index, coefficient): + if not coefficient: + return + p.need(dyadic(coefficient), 'Dyadic ADD coefficient') + rows[target] = [a + coefficient * b for a, b in zip(rows[target], rows[source_index])] + word.append(gauge.scalar('add', ports[target], ports[source_index], coefficient)) + + def scale(target, coefficient): + if coefficient == 1: + return + p.need(unit(coefficient), 'Dyadic-unit SCALE coefficient') + rows[target] = [coefficient * a for a in rows[target]] + word.append(gauge.scalar('scale', ports[target], coefficient)) + + def swap(left, right): + if left == right: + return + add(left, right, F(1)) + add(right, left, F(-1)) + add(left, right, F(1)) + scale(right, F(-1)) + + for column in range(size): + nonzero = [i for i in range(column, size) if rows[i][column]] + p.need(nonzero, ('Nonsingular gauge', column)) + cheap = [i for i in nonzero if unit(rows[i][column])] + swap(column, min(cheap or nonzero, key=lambda i: abs(rows[i][column]))) + if not unit(rows[column][column]): + for other in range(column + 1, size): + while rows[other][column]: + quotient = rows[other][column] // rows[column][column] + add(other, column, F(-quotient)) + if rows[other][column]: + swap(column, other) + p.need(unit(rows[column][column]), 'Unit pivot after exact row gcd') + scale(column, 1 / rows[column][column]) + for other in range(size): + if other != column: + add(other, column, -rows[other][column]) + p.need(rows == [[F(i == j) for j in range(size)] for i in range(size)], 'Exact elimination') + inverse = gauge.replay(word) + forward_word = inverse_word(word) + forward = gauge.replay(forward_word) + p.need(restrict(forward, ports) == matrix, 'Forward scalar factor') + identity = [{i: F(1)} for i in range(112)] + p.need(p.product(forward, inverse) == p.product(inverse, forward) == identity, 'Both scalar inverse orders') + return forward_word, word, restrict(inverse, ports) + + +def main(): + geometry = source.pin_json(source.PARTIAL / 'SYMMETRIC-FAMILY.json', source.GEOMETRY_PIN) + symmetric = source.pin_json(p.SOURCE / 'SYMMETRIC-RESPONSE-SEARCH.json', source.SYMMETRIC_PIN) + space = p.read('RESPONSE-SPACE.json') + large, small = geometry['large_ports'], geometry['small_ports'] + ordinary = sorted(set(large) - set(SELECTED)) + response = [{} for _ in range(112)] + mode_weights = {} + for i, direction in enumerate(symmetric['symmetric_directions'][:40]): + if i < 32: + weight = F(-2 if i % 4 in (2, 3) else -1) + else: + weight = -F(SIGNS[i - 32], 2) if i in (32, 37) else F(SIGNS[i - 32]) + for pair, value in direction['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(response[row], {column: p.lift(value)}, weight) + for mode, value in direction['recipe'].items(): + mode = int(mode) + mode_weights[mode] = mode_weights.get(mode, F(0)) + weight * p.lift(value) + mode_weights = {i: value for i, value in mode_weights.items() if value} + event_weights = {} + independent = [{} for _ in range(112)] + for mode, coefficient in mode_weights.items(): + for pair, value in space['directions'][mode]['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(independent[row], {column: p.lift(value)}, coefficient) + for position, value in space['directions'][mode]['events'].items(): + position = int(position) + event_weights[position] = event_weights.get(position, F(0)) + coefficient * p.lift(value) + event_weights = {i: value for i, value in event_weights.items() if value} + p.need(response == independent == p.transpose(response), 'Exact symmetric source recipe') + + centres, signed_monomial = [], [{} for _ in range(112)] + inverse = [{} for _ in range(112)] + formula = [{} for _ in range(112)] + for v, vertex in enumerate(geometry['vertices']): + row = {} + for column in vertex['pair_columns']: + column = {int(i): F(value) for i, value in column.items()} + p.add(row, column) + for i, value in column.items(): + for target in (signed_monomial, inverse, formula): + p.add(target[i], column, F(SIGNS[v]) * value / 2) + centres.append(row) + for i, value in row.items(): + p.add(inverse[i], row, -F(SIGNS[v]) * value / 10) + p.add(formula[i], row, -F(SIGNS[v]) * value / 2) + for i in small: + formula[i] = dict(response[i]) + inverse[i] = {j: value / 4 for j, value in response[i].items()} + previous_raw = gzip.decompress((STRUCTURED / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + p.need(sha256(previous_raw).hexdigest() == gauge.PIN, 'Pinned preceding native response') + previous = json.loads(previous_raw) + p.need(all(response[i] == {int(j): -F(value) for j, value in previous['response'][i].items()} + for i in small), 'Unchanged negative Hadamard 64-port response') + p.need(formula == response, 'Signed projector and centre formula') + p.need(all(len(signed_monomial[i]) == 1 and next(iter(signed_monomial[i].values())) in (-1, 1) + for i in large), 'Signed physical port permutation') + identity = [{i: F(1)} for i in range(112)] + p.need(p.product(response, inverse) == p.product(inverse, response) == identity, 'Both full inverse orders') + p.need(all(not signed_monomial[i].get(j) for i in SELECTED for j in SELECTED), 'Selected set crosses sign partition') + selected_block = restrict(response, SELECTED) + selected_inverse_block = restrict(inverse, SELECTED) + p.need(selected_inverse_block == [{j: value / 5 for j, value in row.items()} for row in selected_block], + 'Inverse selected compression is one fifth') + h = restrict(response, ordinary) + determinants = {'selected': p.determinant(selected_block), 'ordinary': p.determinant(h), + 'large_response': p.determinant(restrict(response, large)), 'full_response': p.determinant(response)} + p.need(determinants['selected'] == determinants['ordinary'] == F(1, 16), 'Both principal determinants are dyadic units') + p.need(determinants['large_response'] == 5**8, 'Full 48-port response retains odd determinant') + h_word, hi_word, hi = factor(h, ordinary) + elimination_h_word, elimination_hi_word = h_word, hi_word + partners = sorted(next(iter(signed_monomial[i])) for i in SELECTED) + residual = sorted(set(ordinary) - set(partners)) + p.need(len(partners) == 8 and not set(partners) & set(SELECTED), 'Eight disjoint physical partners') + kt = [{j: row.get(port, F(0)) for j, port in enumerate(partners) if row.get(port)} for row in centres] + ks = [{j: row.get(port, F(0)) for j, port in enumerate(SELECTED) if row.get(port)} for row in centres] + kt_word, _, _ = factor(kt, partners) + ktt_word, _, _ = factor(p.transpose(kt), partners) + h_word = kt_word + for i, row in enumerate(centres): + h_word += [gauge.scalar('add', partners[i], j, row[j]) for j in residual if j in row] + h_word += [gauge.scalar('scale', partners[i], -F(SIGNS[i], 2)) for i in range(8)] + h_word += monomial_word(signed_monomial, residual) + for i, row in enumerate(centres): + h_word += [gauge.scalar('add', j, partners[i], row[j]) for j in residual if j in row] + h_word += ktt_word + hi_word = inverse_word(h_word) + p.need(restrict(gauge.replay(h_word), ordinary) == h, 'Structured ordinary gauge') + p.need(restrict(gauge.replay(hi_word), ordinary) == hi, 'Structured inverse ordinary gauge') + + si, ui = {port: i for i, port in enumerate(SELECTED)}, {port: i for i, port in enumerate(ordinary)} + j_su = [{ui[j]: value for j, value in response[i].items() if j in ui} for i in SELECTED] + j_us = [{si[j]: value for j, value in response[i].items() if j in si} for i in ordinary] + su_hi, hi_us = p.product(j_su, hi), p.product(hi, j_us) + cross = p.product(su_hi, j_us) + data = [{} for _ in range(112)] + for port in small: + data[port] = {port: F(1)} + for i, port in enumerate(SELECTED): + for j, column in enumerate(SELECTED): + value = -selected_block[i].get(j, F(0)) + cross[i].get(j, F(0)) + if value: + data[port][column] = value + p.add(data[port], {ordinary[j]: value for j, value in su_hi[i].items()}, -1) + for i, port in enumerate(ordinary): + data[port] = {ordinary[j]: value for j, value in hi[i].items()} + p.add(data[port], {SELECTED[j]: value for j, value in hi_us[i].items()}, -1) + a = restrict(data, large) + a_word, ai_word, ai = factor(a, large) + elimination_a_word, elimination_ai_word = a_word, ai_word + negative_l = [{j: -value for j, value in row.items()} for row in selected_block] + negative_l_word, _, _ = factor(negative_l, SELECTED) + a_word = [gauge.scalar('add', port, SELECTED[j], -value) + for i, port in enumerate(ordinary) for j, value in sorted(j_us[i].items())] + a_word += negative_l_word + hi_word + a_word += [gauge.scalar('add', port, ordinary[j], -value) + for i, port in enumerate(SELECTED) for j, value in sorted(j_su[i].items())] + ai_word = inverse_word(a_word) + p.need(restrict(gauge.replay(a_word), large) == a, 'Structured data gauge') + p.need(restrict(gauge.replay(ai_word), large) == ai, 'Structured inverse data gauge') + determinants['data'] = p.determinant(a) + p.need(determinants['data'] == 1, 'Unit data determinant') + programs = {'ordinary': h_word, 'ordinary_inverse': hi_word, 'data': a_word, 'data_inverse': ai_word} + maps = {'ordinary': h, 'ordinary_inverse': hi, 'data': a, 'data_inverse': ai} + p.need(all(dyadic(value) for rows in maps.values() for row in rows for value in row.values()), 'All gauge entries are dyadic') + + spec = importlib.util.spec_from_file_location('bipartite_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), 'native_children': 0, + 'owned_fields': 0, 'all_input_columns': 112, 'gates': len(word)} + for name, word in programs.items()} + payload = {'schema': 'bipartite-eight-native-v1', 'response': p.encode(response), + 'inverse': p.encode(inverse), 'selected_ports': SELECTED, 'ordinary_centre_ports': ordinary, + 'large_ports': large, 'small_ports': small, 'component_signs': SIGNS, + 'centre_rows': p.encode(centres), 'signed_monomial': p.encode(signed_monomial), + 'partner_ports': partners, 'residual_ports': residual, + 'gauge_maps': {name: p.encode(rows) for name, rows in maps.items()}, + 'gauge_programs': programs, 'providers': {}} + receipt = {'status': 'PASS_BIPARTITE_EIGHT_NATIVE_AND_GAUGES', + 'geometry_sha256': source.GEOMETRY_PIN, 'symmetric_source_sha256': source.SYMMETRIC_PIN, + 'response_space_sha256': p.PINS['RESPONSE-SPACE.json'], 'source_core_sha256': probe.PIN, + 'selected_ports': SELECTED, 'component_signs': SIGNS, + 'partner_ports': partners, 'residual_ports': residual, + 'selected_centre_minor_determinant': str(p.determinant(ks)), + 'partner_centre_minor_determinant': str(p.determinant(kt)), + 'determinants': {name: str(value) for name, value in determinants.items()}, + 'gauge_reports': reports, + 'independent_elimination_prices': { + 'ordinary': probe.e.core_price(elimination_h_word), + 'ordinary_inverse': probe.e.core_price(elimination_hi_word), + 'data': probe.e.core_price(elimination_a_word), + 'data_inverse': probe.e.core_price(elimination_ai_word)}, 'providers': {}} + for provider, item in probe.core['providers'].items(): + canonical = item['canonical'] + n = len(canonical['start']) + initial = {i: {(i, ()): F(1)} for i in range(n + 8)} + split = item['programs']['forward'].index(['phase', 'zero_frame_precondition']) + native_programs, native_reports = {}, {} + for direction in ('forward', 'backward'): + backward = direction == 'backward' + program = [['phase', 'bipartite_eight_response']] + [['scalar', ['clear', ['C', i]], 0] for i in range(8)] + for position in range(split, len(item['programs'][direction])): + event = deepcopy(item['programs'][direction][position]) + forward = item['programs']['forward'][position] + if forward[0] == 'scalar' and forward[1][0] == 'add': + target, source_slot = forward[1][1:3] + is_y = lambda slot: slot[0] == 'L' and 112 <= slot[1] < 224 + if is_y(target) and not is_y(source_slot): + coefficient = event_weights.get(position, F(0)) + if not coefficient: + continue + if backward: + p.need(event[1][1:3] == [source_slot, target], 'Transpose transfer site') + coefficient = -coefficient + event[1][3:5] = [coefficient.numerator, coefficient.denominator] + program.append(event) + actual = probe.e.core_replay(program, initial, canonical, backward)[0] + expected = deepcopy(initial) + for i in range(n, n + 8): + expected[i] = {} + for i, row in enumerate(response): + for j, coefficient in row.items(): + p.add(expected[j if backward else 112 + i], initial[112 + i if backward else j], + -coefficient if backward else coefficient) + p.need(all(actual[i] == expected[i] for i in range(n + 8)), 'All native input columns and helpers') + native = lambda event: event[0] in ('climb', 'warp', 'adapter', 'residual_adapter') + p.need([event for event in program if native(event)] == + [event for event in item['programs'][direction] if native(event)], 'Unchanged native records') + profile = Counter(event[5] for event in program if event[0] == 'climb') + native_reports[direction] = {'all_input_columns': n + 8, 'borrowed_helpers_restored': n - 224, + 'private_zero_buffers_restored': len(canonical['zero_buffers']), + 'owned_outputs_zero': 8, 'scalar_real_primitives': probe.e.core_price(program), + 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': sum(k*v for k, v in profile.items()), + 'native_children': sum(profile.values()), 'native_records_identical': True} + native_programs[direction] = program + payload['providers'][provider] = {'canonical': canonical, 'programs': native_programs} + receipt['providers'][provider] = native_reports + print(provider, native_reports, flush=True) + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'BIPARTITE-EIGHT-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Native core and exact common-frame gauges. The structured gauge words agree with independent exact elimination. ' + 'Physical selected boundaries, inter-stage views, supplier decoder, and recursive pricing remain separate.') + (HERE / 'BIPARTITE-EIGHT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], reports, receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json new file mode 100644 index 0000000000..4f766cfa70 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/FREEZE.json @@ -0,0 +1,13 @@ +{ + "artifacts": { + "RANK8-GAUGES.json": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "STRUCTURED-CENTRES-PROGRAM.json.gz": "b09a60f6d62664aa0304085764ea198d9f86e9ed2d8769d7ae366814c4590f48", + "STRUCTURED-CENTRES.json": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc", + "STRUCTURED-CENTRES.md": "15b1776fc51995bf27d42627a6e67ac512fc7329a23bbe1dd65a1763eb4bdbca", + "check_rank8_gauges.py": "00272c23297d2163f5b7459ef7dd643ce2251558b988fc4c85d3d099de5541f5", + "check_structured_centres.py": "6b33ac8e0a279a3e1c8a74d1f03eed875103644fb8cbfce3d2401e20209b2c75" + }, + "schema": "structured-centres-freeze-v1", + "scope": "Exact native response with8centres on48ports; six orthogonal8minors; exact common-frame dyadic gauges for24/24split. Physical selected boundary and whole supplier remain open.", + "validation": "Normal and python -O runs give byte-identical receipts and native payload." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json new file mode 100644 index 0000000000..8674a306b7 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json @@ -0,0 +1,11 @@ +{ + "artifacts": { + "RANK8-GAUGES-V2.json": "6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c", + "RANK8-GAUGES-V2.md": "1a34b5f38bdf636816f9b00e1fc8c976feb7937f68054e116ef658bd2fb8e08c", + "check_rank8_gauges_v2.py": "6f3f739476644516dda975d748b2b10c80408844f672cffeeb5af76637793ab9" + }, + "schema": "structured-centres-scaled-query-gauges-v2", + "scope": "Common-frame scalar gauges only. Zero native children, one restored owned field. Mixed-frame decoder and complete supplier remain open.", + "source_freeze_sha256": "5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19", + "validation": "Normal and python -O runs give byte-identical receipts. All 112 input columns agree with the preceding pinned maps. 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true, + "owned_fields": 1, + "scalar_real_primitives": 1172 + } + }, + "scope": "Same common-frame scalar maps as the preceding gauge packet. All query values are coherently removed; no data-dependent CLEAR is used.", + "source_payload_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "source_receipt_sha256": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "status": "PASS_SCALED_QUERY_RANK8_GAUGES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md new file mode 100644 index 0000000000..2eea7e2f30 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/RANK8-GAUGES-V2.md @@ -0,0 +1,39 @@ +# Put the dyadic scale on the query field + +These four scalar programs implement exactly the common-frame gauges +from `RANK8-GAUGES.json`. They keep its one-field storage contract and +restore `C0` by subtraction of the updated query. They do not clear a +data-dependent owned value. + +After the query is formed, scale `C0` by the common positive magnitude +of the scatter coefficients. Then use signed unit ADDs for the scatter. +Before the query is removed, scale `C0` so that it equals the updated +query. This replaces many half or quarter ADDs by two scales of one +owned field. + +| Gauge | First query scale | Scale before removal | Real scalar primitives | +| --- | ---: | ---: | ---: | +| `A` | `1/4` | `4` | 2,368 | +| `A^-1` | `1/4` | `4` | 2,368 | +| `H` | `1/2` | `-4` | 1,172 | +| `H^-1` | `1/4` | `-2` | 1,172 | + +All four programs have zero native children. The checker compares all +112 input columns with the preceding pinned words. It also checks both +inverse orders and restoration of `C0` to zero. + +Run from the workspace root: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py +python3 -O work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py +``` + +Both commands must print `PASS_SCALED_QUERY_RANK8_GAUGES` and give +byte-identical receipts. `GAUGES-V2-FREEZE.json` pins this separate +version. The preceding frozen source files are unchanged. + +The new-core-transfer lane supplied this scale placement. This packet +checks and prices the exact words. It is AI-assisted research. 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"native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + }, + "extra": { + "backward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + }, + "forward": { + "all_input_columns": 640, + "borrowed_helpers_restored": 408, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_records_identical": true, + "owned_outputs_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87360 + } + } + }, + "response_space_sha256": "320e25fec5c0f52285aa2e945b2e0f30d43e2504de207595b0f35ec93bab7337", + "scope": "Native forward response and negative transpose, exact rank-eight inverse formula, and algebraic gauge identities. Division by five, physical gauge programs, supplier code transport, terminal decoding, and recursive pricing are not implemented here.", + "source_core_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "status": "PASS_NATIVE_STRUCTURED_CENTRES", + "symmetric_source_sha256": "84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md new file mode 100644 index 0000000000..a6783484fd --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md @@ -0,0 +1,151 @@ +# Eight centres on a 48-port native response + +The emitted native response `E` is symmetric. On 64 ports it is the +Hadamard response from `../partial-orthogonal/PARTIAL-ORTHOGONAL.md`. On +the other 48 ports it has the form + +`E_48 = -I + K^T K/2`, with `K K^T = 12I_8`. + +Each row of `K` has 12 entries, all equal to `1` or `-1`. Thus the inverse +defect has eight centres, all supported on those 48 ports. The other 64 +ports need no centre correction in the local inverse. + +Both native words pass the full ordered replay on both providers. Each +word costs 87,360 real scalar primitives, with native rank mass 5,073 and +3,507 native children. The native records are unchanged. Each replay +checks 640 input columns, restores 408 arbitrary helper fields and 91 +private zero buffers, and leaves the eight owned fields zero. + +The supplied backward word is the negative transpose of `E`. It is not +its inverse. The inverse formula and the scalar gauge programs below do +not complete a supplier or change the complete kappa bound. + +## Native construction and inverse + +In the pinned symmetric response family, give directions 0 through 31 +weight two at indices congruent to 2 or 3 modulo 4, and weight one at the +other indices. Give directions 32 and 37 weight `1/2`. Give the other six +directions from 32 through 39 weight `-1`. Give directions 40 and 41 +weight zero. Expand their pinned recipes into the original scalar +transfer sites. Keep every native call unchanged. + +Let `O = K^T K/12`, extended by zero on the 64-port set. Then `O` is an +orthogonal projector of rank eight, and + +```text +E^2 = 4I_64 + I_48 + 24O. +E^-1 = E_64/4 - I_48 + (6/5)O. +det(E) = 2^64 * 5^8. +``` + +The checker verifies both inverse orders with exact fractions. This +response is invertible over the rationals. It is not a unit over the +dyadic rationals. Division by five in the direct inverse is not supplied +or priced by this packet. + +## Six orthogonal minors + +The pair graph from the previous packet is `K_8` minus a perfect matching. +Partition its remaining edges into six perfect matchings. Use both +physical ports of each edge. Each matching then gives an eight-port +minor `K_A` with + +`K_A K_A^T = 2I_8`. + +The six minors are disjoint and cover all 48 ports. Their exact port lists +are in `STRUCTURED-CENTRES.json`, under `orthogonal_minor_ports`. The +checker finds the partition and verifies each identity independently +from the centre rows. + +This structure gives an exact family of smaller source interfaces. For +the negative response `J_48 = I - K^T K/2`, select `k` complete minors. +Write `S` for these `8k` ports and `U` for the other ports in this block. +Then + +```text +K_S K_S^T/2 = kI. +K_U K_U^T/2 = (6-k)I. +H = I_U - K_U^T K_U/2. +H^-1 = I_U + K_U^T K_U/(2(k-5)). +``` + +The ordinary inverse exists for `k != 5`. For `k = 1`, the selected block +of `E_48` is zero and its two off-diagonal blocks satisfy `BD = 5I`. +The ordinary centre eigenvalue of `H` is `-4`, so this ordinary inverse +is dyadic. + +Let `P` be diagonal, equal to `-1` on `S` and `1` on `U`. The algebraic +data map that occurs in the diagonal borrowed-source construction is + +```text +A = P + K^T K/(2(k-5)). +A^-1 = P + P K^T K P/(2(k-1)). +``` + +For `k = 2, 3, 4`, the checker verifies both inverse orders. The second +denominator is singular at `k = 1`; this limitation remains explicit. +For `k = 3`, both denominators are dyadic units. Thus a 24/24 split has +both an ordinary inverse and a data inverse with only dyadic scalars. +The other 64 ports form a separate Hadamard block; their gauge and the +physical selected-exchange boundary are not emitted in this packet. + +## Serial gauges for the 24/24 split + +For `k = 3`, `K P K^T = 0`. Consequently every query row of `K` is +unchanged by each rank-one shear in + +`I - P K^T K/4`. + +This gives a serial implementation with one owned field `C0`. For each +centre row, copy one source into `C0`, add the other eleven signed +sources, apply its signed scatter, then subtract the same query from the +updated data. The field returns to zero. Negating the selected ports +after these shears gives `A = P - K^T K/4`. For the inverse, negate those +ports first and use the opposite shear sign. + +The ordinary gauge uses only the six entries of each centre row that +lie in `U`. A scatter for `H` multiplies its query by `-2`; a scatter for +`H^-1` multiplies its query by `-1/2`. Scale `C0` by that same factor before +subtracting the updated query. The field again returns to zero. + +The emitted scalar programs have these exact bills: + +| Gauge on the 48-port block | Real scalar primitives | Native children | +| --- | ---: | ---: | +| `A` | 2,688 | 0 | +| `A^-1` | 2,688 | 0 | +| `H` on the 24 ordinary ports | 1,236 | 0 | +| `H^-1` on the 24 ordinary ports | 1,332 | 0 | + +Each program uses one owned field and restores it to zero. All 112 data +input columns are checked, including identity action on the other +ports. The two inverse orders are checked. The program requires a common +physical frame for all operands. It does not grant access to an old query +on a retired Y bank or to a future query on X. + +## Remaining supplier obligations + +The local response and common-frame scalar gauges are implemented. A +complete use in the supplier must still prove the selected physical +exchanges, the 64-port gauge, each routed stage transition, helper access +at the required cuts, the terminal map, and the complete recursive bill. +It must also choose whether it uses the dyadic 24/24 interface or a +different interface with an explicit odd-division service. No such choice +is assumed by the present packet. + +Run these commands from the workspace root, both normally and with +`python3 -O`: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py +python3 work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py +``` + +The first command ends with `PASS_NATIVE_STRUCTURED_CENTRES`. The second +ends with `PASS_SERIAL_RANK8_GAUGES`. The freeze manifest pins the proof, +checkers, receipts, and native payload. + +This work uses the response directions and native core from the +oblique-native lane, the pair geometry from the preceding packet, and +the native replay and cost model from the new-core-transfer lane. It is +AI-assisted research. It is not a PR or a selected frontier result. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py new file mode 100644 index 0000000000..dcaebfba96 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py @@ -0,0 +1,121 @@ +#!/usr/bin/env python3 +"""Check serial centre gauges in a common physical frame.""" +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import check_structured_centres as source + +HERE = Path(__file__).resolve().parent +PIN = '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1' +p = source.p + + +def scalar(kind, target, value, coefficient=None): + gate = [kind, ['C', 0] if target == 112 else ['L', target]] + if kind == 'scale': + gate += [value.numerator, value.denominator] + else: + gate.append(['C', 0] if value == 112 else ['L', value]) + if kind == 'add': + gate += [coefficient.numerator, coefficient.denominator] + return ['scalar', gate, 0] + + +def centre_step(row, scatter, query_factor): + ports = sorted(row) + word = [scalar('copy', 112, ports[0])] + if row[ports[0]] != 1: + word.append(scalar('scale', 112, row[ports[0]])) + word += [scalar('add', 112, i, row[i]) for i in ports[1:]] + word += [scalar('add', i, 112, coefficient) for i, coefficient in sorted(scatter.items())] + if query_factor != 1: + word.append(scalar('scale', 112, query_factor)) + word += [scalar('add', 112, i, -row[i]) for i in ports] + return word + + +def replay(word): + state = [{i: F(1)} for i in range(112)] + [{}] + def slot(value): + return 112 if value[0] == 'C' else value[1] + for event in word: + p.need(event[0] == 'scalar' and event[2] == 0, 'One common frame') + gate = event[1] + target = slot(gate[1]) + if gate[0] == 'copy': + p.need(target == 112 and not state[target], 'Only copy into the zero owned field') + state[target] = dict(state[slot(gate[2])]) + elif gate[0] == 'add': + p.need(target != slot(gate[2]), 'Distinct ADD operands') + p.add(state[target], state[slot(gate[2])], F(*gate[3:5])) + else: + p.need(gate[0] == 'scale', 'Allowed scalar operation') + coefficient = F(*gate[2:4]) + state[target] = {i: coefficient * value for i, value in state[target].items()} + p.need(not state[112], 'Owned C0 returns to zero') + return state[:112] + + +def main(): + raw = gzip.decompress((HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + p.need(sha256(raw).hexdigest() == PIN, 'Pinned native centre packet') + packet = json.loads(raw) + receipt = json.loads((HERE / 'STRUCTURED-CENTRES.json').read_text()) + rows = [{int(i): F(value) for i, value in row.items()} for row in packet['centre_rows']] + selected = receipt['gauge_identities']['3']['selected_ports'] + ordinary = receipt['gauge_identities']['3']['ordinary_ports'] + signs = {i: F(-1) if i in selected else F(1) for i in range(112)} + negative = [scalar('scale', i, F(-1)) for i in selected] + words = {} + for inverse in (False, True): + word = deepcopy(negative) if inverse else [] + for row in rows: + scatter = {i: (1 if inverse else -1) * signs[i] * value / 4 for i, value in row.items()} + word += centre_step(row, scatter, F(1)) + if not inverse: + word += negative + words['data_inverse' if inverse else 'data'] = word + for name, coefficient, factor in [('ordinary', F(-1, 2), F(-2)), + ('ordinary_inverse', F(-1, 4), F(-1, 2))]: + word = [] + for row in rows: + row = {i: value for i, value in row.items() if i in ordinary} + word += centre_step(row, {i: coefficient * value for i, value in row.items()}, factor) + words[name] = word + maps = {name: replay(word) for name, word in words.items()} + identity = [{i: F(1)} for i in range(112)] + for name in ('data', 'ordinary'): + p.need(p.product(maps[name], maps[name + '_inverse']) == + p.product(maps[name + '_inverse'], maps[name]) == identity, 'Both inverse orders') + outer = [{} for _ in range(112)] + for row in rows: + for i, value in row.items(): + p.add(outer[i], row, value) + expected = [{i: signs[i]} for i in range(112)] + for i in range(112): + p.add(expected[i], outer[i], F(-1, 4)) + p.need(maps['data'] == expected, 'Data gauge equals E minus KtK/4') + expected = deepcopy(identity) + for i in ordinary: + p.add(expected[i], {j: value for j, value in outer[i].items() if j in ordinary}, F(-1, 2)) + p.need(maps['ordinary'] == expected, 'Ordinary gauge equals I minus KuT Ku/2') + spec = importlib.util.spec_from_file_location('gauge_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), 'native_children': 0, + 'owned_fields': 1, 'owned_field_restored': True, 'all_input_columns': 112} + for name, word in words.items()} + result = {'status': 'PASS_SERIAL_RANK8_GAUGES', 'source_payload_sha256': PIN, + 'selected_ports': selected, 'ordinary_ports': ordinary, 'reports': reports, + 'programs': words, 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Exact scalar gauges on the 48-port block in a common physical frame. The other 64 ports are unchanged. No mixed-frame or whole-supplier access is asserted.'} + (HERE / 'RANK8-GAUGES.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], reports, flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py new file mode 100644 index 0000000000..f23866f044 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py @@ -0,0 +1,81 @@ +#!/usr/bin/env python3 +"""Check scalar gauges with the dyadic scale on the owned query field.""" +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import check_rank8_gauges as old + +HERE = Path(__file__).resolve().parent +OLD_PIN = '27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930' + + +def step(row, scatter_signs, initial_scale, query_factor): + ports = sorted(row) + word = [old.scalar('copy', 112, ports[0])] + if row[ports[0]] != 1: + word.append(old.scalar('scale', 112, row[ports[0]])) + word += [old.scalar('add', 112, i, row[i]) for i in ports[1:]] + word.append(old.scalar('scale', 112, initial_scale)) + word += [old.scalar('add', i, 112, value) for i, value in sorted(scatter_signs.items())] + word.append(old.scalar('scale', 112, query_factor / initial_scale)) + word += [old.scalar('add', 112, i, -row[i]) for i in ports] + return word + + +def main(): + raw = (HERE / 'RANK8-GAUGES.json').read_bytes() + old.p.need(sha256(raw).hexdigest() == OLD_PIN, 'Pinned preceding scalar programs') + original = json.loads(raw) + raw = gzip.decompress((HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').read_bytes()) + old.p.need(sha256(raw).hexdigest() == old.PIN, 'Pinned native centre rows') + packet = json.loads(raw) + rows = [{int(i): F(value) for i, value in row.items()} for row in packet['centre_rows']] + selected, ordinary = original['selected_ports'], original['ordinary_ports'] + signs = {i: F(-1) if i in selected else F(1) for i in range(112)} + negations = [old.scalar('scale', i, F(-1)) for i in selected] + programs = {} + for inverse in (False, True): + word = deepcopy(negations) if inverse else [] + for row in rows: + scatter = {i: (1 if inverse else -1) * signs[i] * value for i, value in row.items()} + word += step(row, scatter, F(1, 4), F(1)) + if not inverse: + word += negations + programs['data_inverse' if inverse else 'data'] = word + for name, coefficient, factor in [('ordinary', F(1, 2), F(-2)), + ('ordinary_inverse', F(1, 4), F(-1, 2))]: + word = [] + for row in rows: + row = {i: value for i, value in row.items() if i in ordinary} + word += step(row, {i: -value for i, value in row.items()}, coefficient, factor) + programs[name] = word + maps = {name: old.replay(word) for name, word in programs.items()} + for name, actual in maps.items(): + old.p.need(actual == old.replay(original['programs'][name]), ('Same exact map', name)) + identity = [{i: F(1)} for i in range(112)] + for name in ('data', 'ordinary'): + old.p.need(old.p.product(maps[name], maps[name + '_inverse']) == + old.p.product(maps[name + '_inverse'], maps[name]) == identity, + 'Both inverse orders') + spec = importlib.util.spec_from_file_location('scaled_query_probe', old.p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + reports = {name: {'scalar_real_primitives': probe.e.core_price(word), + 'old_scalar_real_primitives': original['reports'][name]['scalar_real_primitives'], + 'native_children': 0, 'owned_fields': 1, 'owned_field_restored': True, + 'all_input_columns': 112, 'clears_of_nonzero_owned_data': 0} + for name, word in programs.items()} + receipt = {'status': 'PASS_SCALED_QUERY_RANK8_GAUGES', 'source_receipt_sha256': OLD_PIN, + 'source_payload_sha256': old.PIN, 'programs': programs, 'reports': reports, + 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Same common-frame scalar maps as the preceding gauge packet. All query values are coherently removed; no data-dependent CLEAR is used.'} + (HERE / 'RANK8-GAUGES-V2.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], reports, flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py new file mode 100644 index 0000000000..0a3eb84911 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/controller-followthrough-20261017/structured-centres/check_structured_centres.py @@ -0,0 +1,228 @@ +#!/usr/bin/env python3 +"""Check a native symmetric response with eight centres on 48 ports.""" +import ast +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +PARTIAL = HERE.parent / 'partial-orthogonal' +spec = importlib.util.spec_from_file_location('partial_tools', PARTIAL / 'check_partial_orthogonal.py') +p = importlib.util.module_from_spec(spec) +spec.loader.exec_module(p) +SYMMETRIC_PIN = '84e527589ab11fa59136e262c75511d9f71af1ba55504fb59b73ac789a350dff' +GEOMETRY_PIN = '77fc35b5d78f9dd53193ecb38977e31a7cb9d5c23f0e3839d39f6ea4963f04c2' + + +def pin_json(path, pin): + raw = path.read_bytes() + p.need(sha256(raw).hexdigest() == pin, ('Source pin', str(path))) + return json.loads(raw) + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def perfect_matchings(vertices, edges): + if not vertices: + yield [] + return + first = min(vertices) + for other in sorted(vertices - {first}): + edge = tuple(sorted((first, other))) + if edge in edges: + for rest in perfect_matchings(vertices - {first, other}, edges): + yield [edge] + rest + + +def factor_edges(edges): + if not edges: + return [] + for matching in perfect_matchings(set(range(8)), edges): + rest = factor_edges(edges - set(matching)) + if rest is not None: + return [matching] + rest + return None + + +def main(): + geometry = pin_json(PARTIAL / 'SYMMETRIC-FAMILY.json', GEOMETRY_PIN) + symmetric = pin_json(p.SOURCE / 'SYMMETRIC-RESPONSE-SEARCH.json', SYMMETRIC_PIN) + space = p.read('RESPONSE-SPACE.json') + response = [{} for _ in range(112)] + mode_weights = {} + for i, direction in enumerate(symmetric['symmetric_directions'][:40]): + weight = F(2 if i % 4 in (2, 3) else 1) if i < 32 else (F(1, 2) if i in (32, 37) else F(-1)) + for pair, value in direction['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(response[row], {column: p.lift(value)}, weight) + for mode, value in direction['recipe'].items(): + mode = int(mode) + mode_weights[mode] = mode_weights.get(mode, F(0)) + weight * p.lift(value) + mode_weights = {i: value for i, value in mode_weights.items() if value} + independent = [{} for _ in range(112)] + event_weights = {} + for mode, coefficient in mode_weights.items(): + for pair, value in space['directions'][mode]['effect'].items(): + row, column = ast.literal_eval(pair) + p.add(independent[row], {column: p.lift(value)}, coefficient) + for position, value in space['directions'][mode]['events'].items(): + position = int(position) + event_weights[position] = event_weights.get(position, F(0)) + coefficient * p.lift(value) + event_weights = {i: value for i, value in event_weights.items() if value} + p.need(response == independent, 'Exact response recipes') + p.need(response == p.transpose(response), 'Symmetric response') + large, small = geometry['large_ports'], geometry['small_ports'] + centres = [] + for vertex in geometry['vertices']: + row = {} + for column in vertex['pair_columns']: + p.add(row, {int(i): F(value) for i, value in column.items()}) + centres.append(row) + gram = [{j: sum((row.get(k, F(0)) * other.get(k, F(0)) for k in large), F(0)) + for j, other in enumerate(centres)} for row in centres] + gram = [{j: value for j, value in row.items() if value} for row in gram] + p.need(gram == [{i: F(12)} for i in range(8)], 'Eight orthogonal centre rows') + outer = [{} for _ in range(112)] + for row in centres: + for i, value in row.items(): + p.add(outer[i], row, value) + projector = [{j: value / 12 for j, value in row.items()} for row in outer] + p.need(p.product(projector, projector) == projector, 'Rank-eight centre projector') + for i in large: + expected = {j: value / 2 for j, value in outer[i].items()} + p.add(expected, {i: F(1)}, -1) + p.need(response[i] == expected, 'Exact rank-eight response formula') + inverse = [{} for _ in range(112)] + for i in small: + inverse[i] = {j: value / 4 for j, value in response[i].items()} + for i in large: + inverse[i] = {j: value / 10 for j, value in outer[i].items()} + p.add(inverse[i], {i: F(1)}, -1) + p.need(p.product(response, inverse) == p.product(inverse, response) == identity(112), + 'Both exact inverse orders') + determinant = p.determinant(response) + p.need(determinant == 2**64 * 5**8, 'Exact determinant') + + edge_ports = {tuple(edge['vertices']): edge['ports'] for edge in geometry['pair_edges']} + matchings = factor_edges(set(edge_ports)) + p.need(matchings is not None and len(matchings) == 6, 'Six disjoint perfect matchings') + minor_ports = [sorted(port for edge in matching for port in edge_ports[edge]) for matching in matchings] + p.need(sorted(port for ports in minor_ports for port in ports) == large, 'Partition of 48 ports') + for ports in minor_ports: + actual = [[sum((left.get(j, F(0)) * right.get(j, F(0)) for j in ports), F(0)) + for right in centres] for left in centres] + p.need(actual == [[F(2) if i == j else F(0) for j in range(8)] for i in range(8)], + 'Orthogonal eight-port centre minor') + gauge_reports = {} + for count in (1, 2, 3, 4): + selected = sorted(port for ports in minor_ports[:count] for port in ports) + ordinary = sorted(set(large) - set(selected)) + h = [{j: (F(i == j) - outer[i].get(j, F(0)) / 2) for j in ordinary} + for i in ordinary] + hi = [{j: (F(i == j) + outer[i].get(j, F(0)) / (2 * (count - 5))) for j in ordinary} + for i in ordinary] + remap = {port: i for i, port in enumerate(ordinary)} + h = [{remap[j]: value for j, value in row.items() if value} for row in h] + hi = [{remap[j]: value for j, value in row.items() if value} for row in hi] + p.need(p.product(h, hi) == p.product(hi, h) == identity(len(ordinary)), 'Ordinary gauge inverse') + report = {'selected_ports': selected, 'ordinary_ports': ordinary, + 'selected_centre_compression': count, 'ordinary_centre_compression': 6 - count, + 'ordinary_inverse_denominator': count - 5} + if count > 1: + signs = {i: F(-1) if i in selected else F(1) for i in large} + a, ai = [], [] + remap = {port: i for i, port in enumerate(large)} + for i in large: + row = {j: value / (2 * (count - 5)) for j, value in outer[i].items()} + p.add(row, {i: signs[i]}) + a.append({remap[j]: value for j, value in row.items() if value}) + row = {j: signs[i] * value * signs[j] / (2 * (count - 1)) for j, value in outer[i].items()} + p.add(row, {i: signs[i]}) + ai.append({remap[j]: value for j, value in row.items() if value}) + p.need(p.product(a, ai) == p.product(ai, a) == identity(48), 'Data gauge inverse') + report['data_inverse_denominator'] = count - 1 + report['data_map_determinant'] = str(p.determinant(a)) + gauge_reports[str(count)] = report + + spec = importlib.util.spec_from_file_location('structured_probe', p.SOURCE / 'probe_readiness.py') + probe = importlib.util.module_from_spec(spec) + spec.loader.exec_module(probe) + payload = {'schema': 'native-structured-centres-v1', 'response': p.encode(response), + 'centre_rows': p.encode(centres), 'projector': p.encode(projector), + 'inverse': p.encode(inverse), 'providers': {}} + receipt = {'status': 'PASS_NATIVE_STRUCTURED_CENTRES', 'source_core_sha256': probe.PIN, + 'symmetric_source_sha256': SYMMETRIC_PIN, 'geometry_sha256': GEOMETRY_PIN, + 'response_space_sha256': p.PINS['RESPONSE-SPACE.json'], + 'determinant': str(determinant), 'centre_rank': 8, + 'centre_support_ports': large, 'centre_row_supports': [sorted(row) for row in centres], + 'perfect_matchings': matchings, 'orthogonal_minor_ports': minor_ports, + 'gauge_identities': gauge_reports, 'providers': {}} + for provider, item in probe.core['providers'].items(): + word = item['canonical'] + n = len(word['start']) + initial = {i: {(i, ()): F(1)} for i in range(n + 8)} + split = item['programs']['forward'].index(['phase', 'zero_frame_precondition']) + programs, reports = {}, {} + for direction in ('forward', 'backward'): + backward = direction == 'backward' + program = [['phase', 'structured_centres_response']] + [ + ['scalar', ['clear', ['C', i]], 0] for i in range(8)] + for position in range(split, len(item['programs'][direction])): + event = deepcopy(item['programs'][direction][position]) + forward = item['programs']['forward'][position] + if forward[0] == 'scalar' and forward[1][0] == 'add': + target, source = forward[1][1:3] + is_y = lambda slot: slot[0] == 'L' and 112 <= slot[1] < 224 + if is_y(target) and not is_y(source): + coefficient = event_weights.get(position, F(0)) + if not coefficient: + continue + if backward: + p.need(event[1][1:3] == [source, target], 'Transpose transfer site') + coefficient = -coefficient + event[1][3:5] = [coefficient.numerator, coefficient.denominator] + program.append(event) + actual = probe.e.core_replay(program, initial, word, backward)[0] + expected = deepcopy(initial) + for i in range(n, n + 8): + expected[i] = {} + for i, row in enumerate(response): + for j, coefficient in row.items(): + p.add(expected[j if backward else 112 + i], + initial[112 + i if backward else j], -coefficient if backward else coefficient) + p.need(all(actual[i] == expected[i] for i in range(n + 8)), 'All native columns and helpers') + native = lambda event: event[0] in ('climb', 'warp', 'adapter', 'residual_adapter') + p.need([event for event in program if native(event)] == + [event for event in item['programs'][direction] if native(event)], 'Unchanged native records') + profile = Counter(event[5] for event in program if event[0] == 'climb') + reports[direction] = {'all_input_columns': n + 8, 'borrowed_helpers_restored': n - 224, + 'private_zero_buffers_restored': len(word['zero_buffers']), + 'owned_outputs_zero': 8, + 'scalar_real_primitives': probe.e.core_price(program), + 'native_profile': dict(sorted(profile.items())), + 'native_rank_mass': sum(k*v for k, v in profile.items()), + 'native_children': sum(profile.values()), 'native_records_identical': True} + programs[direction] = program + payload['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = reports + print(provider, reports, flush=True) + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'STRUCTURED-CENTRES-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Native forward response and negative transpose, exact rank-eight inverse formula, ' + 'and algebraic gauge identities. Division by five, physical gauge programs, ' + 'supplier code transport, terminal decoding, and recursive pricing are not implemented here.') + (HERE / 'STRUCTURED-CENTRES.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/PAIR-BOUND-REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/PAIR-BOUND-REVIEW.json new file mode 100644 index 0000000000..9c9181d012 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/cover-algebra/PAIR-BOUND-REVIEW.json @@ -0,0 +1,27 @@ +{ + "new_checks": [ + "actual fixed Grams", + "48 actual split pairs", + "three K4,4 components", + "40-column sharp Gram", + "generating-polynomial count", + "37 independent determinant evaluations" + ], + "not_repeated": "The 1130168-vector enumeration and pinned native source reconstruction are accepted from the separately supplied exact certificate; they were not rerun in this bounded review.", + "proof_review": [ + "For fewer than eight extra columns, the dyadic determinant retains a factor 11.", + "A dyadic unit block-diagonal determinant requires both block determinants to be units.", + "The multiplicity enumeration is a superset of every admissible split-pair selection below 40.", + "The 13824 perfect-match supports are distinct and all have Gram 20I.", + "The lower bounds concern a unit selected Schur block with A and T fixed. They do not concern a source code that changes a selected T baseline." + ], + "reviewed_pins": { + "PAIR-BOUND.json": "77e6d0e69dacc72a8bf110d13bd5708283ebcae8155d1b6666613806ee1be5a0", + "PAIR-BOUND.md": "6ef5d5c787d151c41b0fefc896ea722379fdde79eb8e8eb2cf0470ce8f2fe82c", + "check_pair_bound.py": "0fa40b727d95c24de974746480f5883a2b787f9af7c540c97107f4ff4e8aba7b" + }, + "reviewer_sha256": "57c46779579f0f5fe3ec9c1eab5ae42e6f2c69ef152e32b6c2f1d18fbb65c3a1", + "scope": "No lower bound of 40 for arbitrary selected sets, native child lower bound, or global supplier claim. The new joint-query transvection is outside the selected-baseline premise.", + "source_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "status": "PASS_BOUNDED_SPLIT_PAIR_PROOF_REVIEW" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/DYADIC-SUBSETS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/DYADIC-SUBSETS.json new file mode 100644 index 0000000000..58778f3b5f --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/DYADIC-SUBSETS.json @@ -0,0 +1,653 @@ +{ + "cases": [ + { + "T_inverse": [ + [ + "-1/8", + "1/32", + "1/32", + "0", + "0", + "0", + "0", + "0" + ], + [ + "1/32", + "-17/128", + "-1/128", + "0", + "0", + "0", + "0", + "0" + ], + [ + "1/32", + "-1/128", + "-17/128", + "0", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "-1/8", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "-1/8", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "-1/8", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8" + ] + ], + "both_unit_conditions": true, + "det_4I_minus_gram": "1073741824", + "det_52I_minus_gram": "1099511627776", + "det_T": "16777216", + "gram": [ + [ + "16", + "-8", + "-8", + "0", + "0", + "0", + "0", + "0" + ], + [ + "-8", + "20", + "0", + "0", + "0", + "0", + "0", + "0" + ], + [ + "-8", + "0", + "20", + "0", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "20", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "20", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "20", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "20", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "20" + ] + ], + "name": "thirty_nine", + "response_numerator_inverse": [ + [ + "-1", + "-1/2", + "-1/2", + "0", + "0", + "0", + "0", + "0" + ], + [ + "-1/2", + "-1/2", + "-1/4", + "0", + "0", + "0", + "0", + "0" + ], + [ + "-1/2", + "-1/4", + "-1/2", + "0", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "-1/4", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "-1/4", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "-1/4", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4" + ] + ], + "selected": [ + 3, + 7, + 8, + 9, + 10, + 15, + 19, + 21, + 26, + 30, + 34, + 38, + 39, + 40, + 41, + 45, + 46, + 51, + 53, + 58, + 61, + 62, + 65, + 67, + 68, + 69, + 77, + 78, + 79, + 81, + 84, + 86, + 94, + 96, + 103, + 104, + 105, + 106, + 110 + ], + "selected_count": 39, + "shear_edges": [ + [ + 0, + 1 + ], + [ + 0, + 2 + ] + ] + }, + { + "T_inverse": [ + [ + "-1/8", + "0", + "1/32", + "1/32", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1/8", + "0", + "0", + "1/32", + "1/32", + "0", + "0" + ], + [ + "1/32", + "0", + "-17/128", + "-1/128", + "0", + "0", + "0", + "0" + ], + [ + "1/32", + "0", + "-1/128", + "-17/128", + "0", + "0", + "0", + "0" + ], + [ + "0", + "1/32", + "0", + "0", + "-17/128", + "-1/128", + "0", + "0" + ], + [ + "0", + "1/32", + "0", + "0", + "-1/128", + "-17/128", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8" + ] + ], + "both_unit_conditions": true, + "det_4I_minus_gram": "268435456", + "det_52I_minus_gram": "1099511627776", + "det_T": "16777216", + "gram": [ + [ + "16", + "0", + "-8", + "-8", + "0", + "0", + "0", + "0" + ], + [ + "0", + "16", + "0", + "0", + "-8", + "-8", + "0", + "0" + ], + [ + "-8", + "0", + "20", + "0", + "0", + "0", + "0", + "0" + ], + [ + "-8", + "0", + "0", + "20", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-8", + "0", + "0", + "20", + "0", + "0", + "0" + ], + [ + "0", + "-8", + "0", + "0", + "0", + "20", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "20", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "20" + ] + ], + "name": "thirty_eight", + "response_numerator_inverse": [ + [ + "-1", + "0", + "-1/2", + "-1/2", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1", + "0", + "0", + "-1/2", + "-1/2", + "0", + "0" + ], + [ + "-1/2", + "0", + "-1/2", + "-1/4", + "0", + "0", + "0", + "0" + ], + [ + "-1/2", + "0", + "-1/4", + "-1/2", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1/2", + "0", + "0", + "-1/2", + "-1/4", + "0", + "0" + ], + [ + "0", + "-1/2", + "0", + "0", + "-1/4", + "-1/2", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4" + ] + ], + "selected": [ + 1, + 3, + 4, + 17, + 18, + 19, + 20, + 23, + 24, + 26, + 27, + 29, + 35, + 36, + 38, + 39, + 40, + 42, + 45, + 60, + 63, + 66, + 69, + 74, + 75, + 77, + 78, + 84, + 86, + 88, + 97, + 99, + 104, + 105, + 107, + 108, + 109, + 111 + ], + "selected_count": 38, + "shear_edges": [ + [ + 0, + 2 + ], + [ + 0, + 3 + ], + [ + 1, + 4 + ], + [ + 1, + 5 + ] + ] + } + ], + "checker_sha256": "2864d31b2c145c98d04fc2cbeb3d3da1f92b3cb99a335c574cb5354b7424da7e", + "lower_cardinality_intervals": [ + { + "det_T_lower": "1559059307/4", + "det_T_upper": "429981696", + "selected_count": 8 + }, + { + "det_T_lower": "347530248", + "det_T_upper": "6634204312890625/16777216", + "selected_count": 9 + }, + { + "det_T_lower": "1230836295/4", + "det_T_upper": "23811286661761/65536", + "selected_count": 10 + }, + { + "det_T_lower": "270301304", + "det_T_upper": "5595818096650401/16777216", + "selected_count": 11 + } + ], + "scope": { + "global_controller_or_complete_cost_proved_here": false, + "global_minimum_known": false, + "minimum_proved": 12, + "native_local_replay_run_here": false, + "smallest_exhibited": 38 + }, + "source_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "status": "PASS_EXACT_FIXED_SUBSETS_AND_TWO_UNIT_CONDITIONS" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/FREEZE.json new file mode 100644 index 0000000000..05cc1e13c7 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/FREEZE.json @@ -0,0 +1,8 @@ +{ + "files": { + "DYADIC-SUBSETS.json": "25e83918d8055b503faea433a44ba5958390a21610a158998d4579dd25008296", + "PROOF.md": "e93d81e48552fd3adc1eda634a9481363bbeeb4b43a0e76af26fb76f55a1bc04", + "check_dyadic_subsets.py": "2864d31b2c145c98d04fc2cbeb3d3da1f92b3cb99a335c574cb5354b7424da7e" + }, + "status": "FROZEN_PRODUCER_PENDING_INDEPENDENT_PROOF_REVIEW" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/PROOF.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/PROOF.md new file mode 100644 index 0000000000..7160477829 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/PROOF.md @@ -0,0 +1,221 @@ +# Two dyadic unit conditions from fewer than five complete minors + +## Result and scope + +An exact subset of 38 of the actual 112 centre columns passes both matrix +unit conditions. It is not a union of complete eight-column minors. +The construction also gives a subset of size 39. All coefficients and +inverse entries are dyadic rational numbers. + +This result removes the forty-column threshold for the stated pair of +unit conditions. Forty was the least size among unions of complete +orthogonal minors. It was not a lower bound for all subsets. + +The check in this folder is a matrix check. It does not run the native +local, build the global controller, or price the complete supplier. +The raw selected local and its native frame map are in +`../native-escape-20261017/RAW-MINOR-SUBSETS.md`. That proof gives the +application of the first unit condition to the borrowed block. The +second condition below is also available for the full response map. + +## Exact source and witness + +Read R from `../circuit-interface/INTERFACE.json`, with SHA-256 + +```text +5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3 +``` + +R has eight rows and 112 columns. Each column v has four entries in +`{1,-1}` and four zero entries. The exact source gives + +```text +R R^T = 56 I, +K = R^T/4, +R K = 14 I. +``` + +Select these zero-based ports: + +```text +1, 3, 4, 17, 18, 19, 20, 23, 24, 26, 27, 29, 35, 36, 38, 39, +40, 42, 45, 60, 63, 66, 69, 74, 75, 77, 78, 84, 86, 88, 97, 99, +104, 105, 107, 108, 109, 111 +``` + +Let `G = R_S R_S^T`. Let E_ij denote the elementary eight by eight +matrix. Define + +```text +A = E_02 + E_03 + E_14 + E_15, +L = I + A/4. +``` + +The selected source columns give the exact identity + +```text +G = 20 I - 8(A+A^T) - 2 A A^T, +52 I - G = 32 L L^T. +``` + +The checker computes G directly from the 38 columns. It compares every +entry with this identity. The identity is not a fitted numerical test. + +## First unit condition + +The matrix for the ordinary borrowed block is + +```text +T = R_S K_S - 13 I = G/4 - 13 I = -8 L L^T. +``` + +A is strictly upper triangular and `A^2=0`. Thus + +```text +L^-1 = I - A/4, +T^-1 = -(I-A^T/4)(I-A/4)/8. +``` + +These are exact dyadic matrices. Direct multiplication gives both inverse +identities. Also `det L=1`, so + +```text +det(52I-G) = 2^40, +det T = 2^24. +``` + +For `H_U=I_U-K_U R_U`, the general subset identity gives +`H_U^-1=I_U+K_U T^-1 R_U`. Thus this borrowed block is a unit over +dyadic coefficients. This implication does not move a native Q operator +through a scalar centre factor. + +## Second unit condition and a family + +More generally, divide eight coordinates into k source coordinates and +8-k target coordinates. Let + +```text +A = [ 0 W ], + [ 0 0 ] +W W^T = 2 I_k. +``` + +Suppose the actual columns realize +`G=20I-8(A+A^T)-2AA^T`. The first unit proof still applies. +The trace gives + +```text +4 |S| = trace G = 160 - 4k, +|S| = 40-k. +``` + +The second matrix has the block form + +```text +4I-G = [ -12 I_k 8W ]. + [ 8W^T -16 I_(8-k) ] +``` + +Eliminate its lower diagonal block. The remaining block is + +```text +-12 I_k + 4 W W^T = -4 I_k. +``` + +Both diagonal blocks are dyadic units. This proves that `I-G/4` is a +dyadic unit and gives + +```text +det(4I-G) = 2^(32-2k), +det(I-G/4) = 2^(16-2k). +``` + +For the displayed 38-column witness, W has two disjoint rows, each with +two entries equal to one. Thus k=2 and +`det(4I-G)=2^28`. The 39-column witness in the checker has k=1. + +The matrix family permits k=3 or k=4, subject to an actual source subset +that realizes G. This file does not assert that such a subset exists. +Signed Hadamard targets for these two cases failed the bounded searches +in this folder. Solver failure does not prove a minimum. + +## A general lower bound of twelve selected columns + +This lower bound applies to the first unit condition alone. It does not +use the special shear form of the positive witness. + +Let s be the selected size. If s<8, Sylvester's determinant identity +gives + +```text +det(52I_8-R_S R_S^T) + = 52^(8-s) det(52I_s-R_S^T R_S). +``` + +The second determinant is an integer. A nonzero result has an odd factor +13. A zero result is singular. In either case T is not a dyadic unit. + +For `8 <= s <= 11`, put `B=G/4`. Each normalized selected column has +norm one. The exact source check gives pair inner products in +`{-1/2,0,1/2}`. The selected column Gram matrix therefore has each +absolute row sum at most `(s+1)/2`. Its nonzero eigenvalues are those of B. +Consequently all eight eigenvalues lambda_i of B satisfy + +```text +0 <= lambda_i <= (s+1)/2, +sum lambda_i = s. +``` + +All factors `13-lambda_i` are positive. Their product is largest when the +eight lambda_i are equal. For the lower bound, move mass between two +coordinates while their sum is fixed. The product of the two factors is +smallest at an endpoint of the permitted interval. Repetition leaves +one coordinate at `(s+1)/2`, one at `(s-1)/2`, and six at zero. Hence + +```text +13^6 (13-(s+1)/2)(13-(s-1)/2) + <= det(13I-B) + <= (13-s/8)^8. +``` + +The exact endpoints give + +```text +2^28 < 13^6 * 7 * 8 <= det(13I-B) <= 12^8 < 2^29. +``` + +There is no signed power of two in this positive open interval. Since +`det T=det(13I-B)`, T is not a dyadic unit. Thus every subset that meets +the first unit condition has at least twelve columns. + +The gap from twelve to the exhibited 38 columns is open. No minimum +claim is made for the 38-column witness. + +## Reproduction and open obligations + +Run from the workspace root: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/check_dyadic_subsets.py +``` + +Expected output: + +```text +PASS_EXACT_FIXED_SUBSETS_AND_TWO_UNIT_CONDITIONS +``` + +The check reads a pinned interface, uses exact rational arithmetic, and +writes `DYADIC-SUBSETS.json`. It checks both inverses, both determinant +conditions, all pair inner products, and the rational bounds for sizes +eight through eleven. It uses no optimizer. + +The search scripts record how the witnesses were found. Their negative +results are only search records. The proof and checker above do not rely +on solver status, floating-point eigenvalues, or a claim that a search +was complete. + +Independent proof review and the native application remain separate +obligations. No complete kappa improvement is claimed here. This work +builds on the exact centre interface and the general raw-subset theorem +in the adjacent lanes. It was produced with AI assistance. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/check_dyadic_subsets.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/check_dyadic_subsets.py new file mode 100644 index 0000000000..93b45d58f7 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/dyadic-subset-search-20261017/check_dyadic_subsets.py @@ -0,0 +1,170 @@ +"""Check fixed source subsets and their two unit conditions. + +This check uses only exact arithmetic and the Python standard library. +It does not run an optimizer or a native local replay. +""" + +from fractions import Fraction as F +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / "circuit-interface/INTERFACE.json" +PIN = "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3" +raw = SOURCE.read_bytes() +assert sha256(raw).hexdigest() == PIN +source = json.loads(raw) +vectors = [tuple(F(row.get(str(p), 0)) for row in source["R"]) for p in range(112)] +assert all(c.denominator == 1 and abs(c) <= 1 for v in vectors for c in v) +assert all(sum(c * c for c in v) == 4 for v in vectors) +assert set(sum(vectors[p][i] * vectors[q][i] for i in range(8)) + for p in range(112) for q in range(p)) == {F(-2), F(0), F(2)} + + +def identity(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def transpose(a): + return list(map(list, zip(*a))) + + +def product(a, b): + return [[sum(a[i][k] * b[k][j] for k in range(len(b))) + for j in range(len(b[0]))] for i in range(len(a))] + + +def difference(a, b): + return [[x - y for x, y in zip(ar, br)] for ar, br in zip(a, b)] + + +def scale(a, c): + return [[c * x for x in row] for row in a] + + +def inverse(a): + n = len(a) + out = [list(map(F, row)) + identity(n)[i] for i, row in enumerate(a)] + for col in range(n): + pivot = next(i for i in range(col, n) if out[i][col]) + out[col], out[pivot] = out[pivot], out[col] + value = out[col][col] + out[col] = [x / value for x in out[col]] + for i in range(n): + if i != col: + value = out[i][col] + out[i] = [x - value * y for x, y in zip(out[i], out[col])] + assert [row[:n] for row in out] == identity(n) + return [row[n:] for row in out] + + +def determinant(a): + out = [list(map(F, row)) for row in a] + value = F(1) + for col in range(len(out)): + pivots = [i for i in range(col, len(out)) if out[i][col]] + if not pivots: + return F(0) + pivot = pivots[0] + if pivot != col: + out[col], out[pivot] = out[pivot], out[col] + value = -value + diagonal = out[col][col] + value *= diagonal + for i in range(col + 1, len(out)): + factor = out[i][col] / diagonal + out[i] = [x - factor * y for x, y in zip(out[i], out[col])] + return value + + +def dyadic(c): + return bool(c) and c.denominator & (c.denominator - 1) == 0 + + +def power_two(c): + return dyadic(c) and abs(c.numerator) & (abs(c.numerator) - 1) == 0 + + +def serial(a): + return [[str(c) for c in row] for row in a] + + +eye = identity(8) +zero = scale(eye, 0) +assert [[sum(v[i] * v[j] for v in vectors) for j in range(8)] + for i in range(8)] == scale(eye, 56) +cases = [ + ("thirty_nine", [(0, 1), (0, 2)], + [3, 7, 8, 9, 10, 15, 19, 21, 26, 30, 34, 38, 39, 40, 41, 45, 46, + 51, 53, 58, 61, 62, 65, 67, 68, 69, 77, 78, 79, 81, 84, 86, 94, + 96, 103, 104, 105, 106, 110]), + ("thirty_eight", [(0, 2), (0, 3), (1, 4), (1, 5)], + [1, 3, 4, 17, 18, 19, 20, 23, 24, 26, 27, 29, 35, 36, 38, 39, + 40, 42, 45, 60, 63, 66, 69, 74, 75, 77, 78, 84, 86, 88, 97, 99, + 104, 105, 107, 108, 109, 111]), +] +rows = [] +for name, edges, selected in cases: + assert selected == sorted(set(selected)) and all(0 <= p < 112 for p in selected) + a = scale(eye, 0) + for i, j in edges: + assert i < j + a[i][j] = 1 + assert product(a, a) == zero + gram = [[sum(vectors[p][i] * vectors[p][j] for p in selected) + for j in range(8)] for i in range(8)] + lower = difference(eye, scale(a, F(-1, 4))) + lower_inverse = difference(eye, scale(a, F(1, 4))) + assert product(lower, lower_inverse) == eye + n = difference(scale(eye, 52), gram) + assert n == scale(product(lower, transpose(lower)), 32) + assert determinant(n) == 2 ** 40 + t = scale(n, F(-1, 4)) + t_inverse = scale(product(transpose(lower_inverse), lower_inverse), F(-1, 8)) + assert product(t, t_inverse) == product(t_inverse, t) == eye + assert determinant(t) == 2 ** 24 and inverse(t) == t_inverse + response_numerator = difference(eye, scale(gram, F(1, 4))) + response_inverse = inverse(response_numerator) + assert all(not c or dyadic(c) for row in response_inverse for c in row) + assert power_two(determinant(response_numerator)) + k = len(edges) // 2 + assert len(selected) == 40 - k + assert determinant(difference(scale(eye, 4), gram)) == 2 ** (32 - 2 * k) + assert determinant(response_numerator) == 2 ** (16 - 2 * k) + rows.append({ + "name": name, "selected": selected, "selected_count": len(selected), + "shear_edges": edges, "gram": serial(gram), "T_inverse": serial(t_inverse), + "response_numerator_inverse": serial(response_inverse), + "det_52I_minus_gram": str(determinant(n)), "det_T": str(determinant(t)), + "det_4I_minus_gram": str(determinant(difference(scale(eye, 4), gram))), + "both_unit_conditions": True, + }) + +# The exact pair bound gives the lower-cardinality estimate in the proof. +assert 13 ** 6 * 7 * 8 > 2 ** 28 +assert 12 ** 8 < 2 ** 29 +lower_bounds = [] +for s in range(8, 12): + cap = F(s + 1, 2) + lower = 13 ** 6 * (13 - cap) * (13 - s + cap) + upper = (13 - F(s, 8)) ** 8 + assert 2 ** 28 < lower <= upper < 2 ** 29 + lower_bounds.append({"selected_count": s, "det_T_lower": str(lower), + "det_T_upper": str(upper)}) + +receipt = { + "status": "PASS_EXACT_FIXED_SUBSETS_AND_TWO_UNIT_CONDITIONS", + "source_sha256": PIN, + "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "cases": rows, + "lower_cardinality_intervals": lower_bounds, + "scope": { + "minimum_proved": 12, "smallest_exhibited": 38, + "global_minimum_known": False, "native_local_replay_run_here": False, + "global_controller_or_complete_cost_proved_here": False, + }, +} +(HERE / "DYADIC-SUBSETS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") +print(receipt["status"]) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json new file mode 100644 index 0000000000..912c677d64 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json @@ -0,0 +1,29 @@ +{ + "status": "FROZEN_INDEPENDENT_NEW_CORE_NATIVE_REVIEW", + "files": { + "check_new_native.py": { + "sha256": "937543157459e5c0eee788feefcf2107acf6bdf660a1209cdecece1ca1f26d01", + "bytes": 14989 + }, + "NEW-CORE-NATIVE-REVIEW.md": { + "sha256": "cc1bc4efe1f35cbd405bc1c819a7bb3dc4bae7fcd5964e396ed1a45cd4fc6d7a", + "bytes": 7408 + }, + "NEW-CORE-NATIVE-REVIEW.json": { + "sha256": "924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d", + "bytes": 3976 + }, + "NEW-CORE-LOGICAL-REVIEW.md": { + "sha256": "dc7a2a8f8cb3e7f872266d406af157f4dcf7caa0dc74c5ceefcaa016a2fe2c7e", + "bytes": 6237 + }, + "NEW-CORE-LOGICAL-REVIEW-FINAL.json": { + "sha256": "ba69ba9ec68c269c76966a7d62a855a19d920e79de7e1151c8ac5070c92d1ada", + "bytes": 4554 + }, + "check_new_core.py": { + "sha256": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "bytes": 13365 + } + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json new file mode 100644 index 0000000000..916eb0cb6d --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json @@ -0,0 +1,144 @@ +{ + "checker_sha256": "6106c9808185747b221c149a668c8d087abbc34d79b9a7aca95e8a813e18186a", + "native_owner_or_recursive_invoice": false, + "physical_phase_status": "Only exact native-record inheritance checked here; fresh recipe verification is a separate obligation.", + "providers": { + "base": { + "backward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + }, + "forward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + } + }, + "extra": { + "backward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + }, + "forward": { + "C0_output": "zero", + "C1_to_C7": "untouched arbitrary inputs", + "arbitrary_helpers": 408, + "controls": { + "omitted_input_correction": true, + "wrong_input_coefficient": true + }, + "events": 23388, + "formal_arbitrary_inputs": 640, + "free_operator_output_words": "all empty", + "native_mass": 5073, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_records": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "owned_zero_buffers": 91, + "scalar_cost": 164514, + "scalar_events": 18080, + "zero_lifetimes": 91 + } + } + }, + "source_pins": { + "canonical_base": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "canonical_extra": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "clean_payload": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "interface": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "local_source": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "producer": "00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa", + "producer_receipt": "c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e", + "proof": "d12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0", + "source_base": "300a9b8ad1d554f0e6f84f43f3f5fd870a5b4e5f81ad856900b6e8999684892e", + "source_extra": "495d030f1e03b90e954dad3043994f03293d41b9ed220a3beaef849df435d3f0" + }, + "status": "PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md new file mode 100644 index 0000000000..2af6de29f2 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW.md @@ -0,0 +1,122 @@ +# Independent logical review of the new clean-J core + +All four local programs pass the independent exact operator check. Both +PR3133 providers give the forward map `(x,y,h)->(x,y+Jx,h)` and the +backward map `(x,y,h)->(x-Jy,y,h)`, where `J=I-R^T R/4` for the actual +112-port source matrix R. Each word costs 164,514 real scalar primitives +and has native rank mass 5,073. + +This file accepts the logical map, arbitrary-helper restoration, frame +bindings, zero-buffer contract, and local counts. Fresh verification of +the physical native recipes is a separate pending step. This file does +not accept a new global controller, owner allocation, private hosting +bound, precision bound, or complete kappa calculation. + +## Pinned input and method + +The reviewed proof is `../new-core-transfer-20261017/CLEAN-J-TRANSFER.md`, +SHA-256 `d12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0`. +The complete decompressed program payload has SHA-256 +`a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa`. +The producer receipt has SHA-256 +`c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e`. +The source and canonical pins are in the independent receipt. + +The review imports no producer or source interpreter. It checks the +published PR3148 source bytes and their object equality with the local +PR3133 words. It checks the complete compact role inventory against the +source's removed-helper list. It compares every retained native record +and the complete retained scalar suffix against the source program. + +The independent operator method propagates output coefficients backward. +Coefficients belong to the rational group algebra of free invertible +warp generators. A scalar ADD propagates the target output coefficients +into the source column. A warp prepends its signed generator to each +operator word, with adjacent inverse cancellation. The producer instead +propagates input rows forward and appends generators. The two methods +give the same complete matrix. + +Each program has 632 arbitrary live inputs and eight arbitrary C inputs. +The check also observes all 91 zero-buffer output rows. An allocation +sets only that buffer's input to zero. The logical check does not erase +a buffer at its free event. A separate lifetime pass proves that no +buffer has a later use. Thus a zero observed output proves that the +buffer is zero at its actual free event. + +## Findings + +Every one of the 408 helper input columns is the corresponding unit +column, with an empty operator word. All helper input effects cancel +from the data outputs. C0 ends at zero. C1 through C7 retain their +arbitrary physical inputs because no event uses them. All 91 buffer +output rows are zero. The zero buffers have a clean-input contract; +they are not counted as arbitrary borrowed fields. + +The new H has 367 coefficients on 106 helper roles. Every such role +has input frame I and output frame FULL. The new source H differs +from the old campaign H. The correction uses the new H, with one +serial C0 query per centre row. It preserves its source in both +directions. It clears no borrowed helper. + +For the forward centre-deleted word, the helper debt is `-K H h` in +Y. The prefix adds `K H h` before that word. For the backward word, +the debt is `H^T R y/4` in the helpers. The prefix subtracts this +quantity before that word. The independent full-word calculation +verifies these cancellations on arbitrary inputs, including every +warp path and all cleanup gates. + +Each complete word contains 23,388 events. The input correction has +832 events and costs 8,526 real primitives. Deletion removes exactly +eight rank-eight private centre children. All 5,115 other native +records remain unchanged: 3,507 climbs, 240 warps, 978 ordinary +adapters, and 390 residual adapters. The child profile is +`{1:2433,2:724,3:228,4:102,5:20}`. + +The forward invoice is `158148-2160+8526=164514`. The backward invoice +is `158196-2208+8526=164514`. A separate count of every scalar event +agrees. Every scalar frame and retained native entry frame matches. +All live endpoint frames match the canonical source. + +Controls remove the input correction or change one of its coefficients. +Each control gives a different complete operator. The checks do not +rely on random inputs or a finite specialization of a warp matrix. + +## Warp convention and phase boundary + +The source emitter describes backward warps as conjugates of forward +warps. The source phase table uses the forward K_G convention. This +distinction must be explicit in the physical review. + +The checked backward word is an identity over free invertible warp +generators. Therefore its endpoint map holds under either consistent +substitution: K_G or conjugate(K_G), with inverse occurrences assigned +the corresponding inverse. No relation between the forward and backward +generator substitutions is used in this proof. This observation permits +a choice of physical warp convention; it does not replace a check of +the exact chart transport, monomial rank, and global phase for that +choice. + +The retained phase evidence alone is not treated as a fresh physical +replay. The new canonical providers have 1,130 frames, and their proper +helper terminal spaces must be used in the residual wrappers. The +physical review must check those actual instances, including width-six +helpers and the exact target adapters. It must not substitute the older +T74 frame set or silently use FULL for a proper terminal space. + +## Reproduction + +Run with a new output path: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_core.py --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-LOGICAL-REVIEW-FINAL.json +``` + +The checker prints one `PASS_640_ARBITRARY_COLUMNS_AND_91_ZERO_OUTPUTS` +line for each of the four programs, followed by +`PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER`. It ran with exact rational +arithmetic and optimization enabled. The source interpreter was not +imported or run by this independent checker. + +OpenAI Codex assisted the review under the user's direction. No PR, +commit, or push is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json new file mode 100644 index 0000000000..3cfc26d8f9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json @@ -0,0 +1,105 @@ +{ + "backward_binding": "Both a consistent K choice and the literal inverse-transpose choice conjugate(K) have exact rank-zero recipes. The literal dual differs in 172 of 180 physical classes per provider.", + "clean_payload_sha256": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "interpreter_sha256": "087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b", + "max_rss_bytes": 150323200, + "method": "Independent Pauli conjugation and exact 512-entry Gaussian zero-state vectors; no generator or Clifford compiler import", + "providers": { + "base": { + "child_classes": 3036, + "endpoint_classes": 224, + "frames": 1130, + "helper_width_profile": { + "4": 26, + "5": 2, + "6": 18, + "7": 50, + "8": 99, + "9": 213 + }, + "literal_dual_classes": 180, + "literal_dual_recipes_different_from_forward": 172, + "native_occurrences": { + "backward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "forward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + } + }, + "negative_controls": [ + "wrong global phase with equal Pauli action", + "wrong FULL terminal", + "literal conjugate K can differ from K" + ], + "physical_warp_classes": 180, + "pins": { + "CANONICAL-WORD.json.gz": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "CLIFFORD-RECIPES.json": "580dee1ca6d0a2971bc1dbe93558b8331bfa61662ce1736b24d944a55127b4f0", + "LITERAL-DUAL-WARP-RECIPES.json": "e880f4e6ff6308675b766bfa63d472c1050b01f17fac78f8810b04eedc6e0a6e", + "LOCAL-PROGRAMS.json.gz": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "RESIDUAL-ADAPTERS.json": "8a6130051284adf76ec932bc2a190058cc99efbed5d862bee819e3bc8c29a31b" + }, + "raw_warps": 72, + "residual_classes": 56, + "seconds": 63.83301916599157, + "status": "PASS_INDEPENDENT_NATIVE_CORE_LIFT", + "wrapped_helpers": 195 + }, + "extra": { + "child_classes": 3036, + "endpoint_classes": 224, + "frames": 1130, + "helper_width_profile": { + "4": 26, + "5": 2, + "6": 18, + "7": 50, + "8": 99, + "9": 213 + }, + "literal_dual_classes": 180, + "literal_dual_recipes_different_from_forward": 172, + "native_occurrences": { + "backward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + }, + "forward": { + "adapter": 978, + "climb": 3507, + "residual_adapter": 390, + "warp": 240 + } + }, + "negative_controls": [ + "wrong global phase with equal Pauli action", + "wrong FULL terminal", + "literal conjugate K can differ from K" + ], + "physical_warp_classes": 180, + "pins": { + "CANONICAL-WORD.json.gz": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "CLIFFORD-RECIPES.json": "f3c678f44ac8c116376d707b088516b0c17744a8508f2863843b912738d2024e", + "LITERAL-DUAL-WARP-RECIPES.json": "0bafa16eea7a49af963346117cf61ca638859748752d5f0ed47a18fe6c4594ff", + "LOCAL-PROGRAMS.json.gz": "4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9", + "RESIDUAL-ADAPTERS.json": "dd8d70e07ae6ecc028d7691611966fcaee946279964736997af0aa78c61c2282" + }, + "raw_warps": 72, + "residual_classes": 56, + "seconds": 37.52593279199209, + "status": "PASS_INDEPENDENT_NATIVE_CORE_LIFT", + "wrapped_helpers": 195 + } + }, + "scope": "Local phase-aware native lift. The whole scalar map is in the separate logical review. Global hosting, owner, controller, and recursive supplier admission remain separate.", + "status": "PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md new file mode 100644 index 0000000000..16fcf2d026 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md @@ -0,0 +1,146 @@ +# Independent review of the new-core native implementation + +The local native implementation passes. This review closes the native +phase dependency of `NEW-CORE-LOGICAL-REVIEW.md` for both new provider +words. Together, the two reviews establish the clean-J local maps on all +632 live fields, with 408 arbitrary borrowed helpers and 91 private zero +buffers. The local bill is 164514 real scalar primitives and native rank +mass 5073. The native profile is +`{1:2433, 2:724, 3:228, 4:102, 5:20}`. + +The review does not establish a complete supplier. The global controller, +owner assignment, private storage, recursive child hosting, precision, +and complete kappa calculation remain separate obligations. + +## Evidence and independence + +`check_new_native.py` reads the fresh recipes in +`../new-native-recipes-20261017`. Its constants pin the decompressed +canonical words and local programs, the serialized standard recipes, +the residual recipes, and the new literal dual recipes. The words come +from PR3133 and the byte-equal provider objects in PR3148. This review +uses their new frames and new warps. It does not substitute an earlier +provider's geometry. + +The checker imports the pinned independent interpreter +`../interface-proof/verify_native_lift.py`. It does not import the recipe +generator, `clifford_exact.py`, or the producer's proof checker. The +interpreter computes the action on all 18 Pauli generators and the exact +512-entry Gaussian dyadic image of the zero basis vector. It uses exact +integer arithmetic. It does not use a floating point tolerance. + +These checks prove operator equality, including global phase. If two +unitary operators have the same action on the Pauli generators, their +quotient commutes with every coordinate X and Z. Commutation with all Z +makes the quotient diagonal. Commutation with all X makes every diagonal +entry equal. Equality on the nonzero image of the zero basis vector fixes +that scalar as one. Thus one checked state and all Pauli generators prove +the equality on every input. This is not a claim that the checker tests +512 separate basis inputs for every recipe. + +For each provider the checker verifies: + +- All 1130 frame bases and all 3036 directed child classes. +- All 224 source and target endpoint adapters. +- All 72 raw logical warp operators. +- All 180 standard physical warp classes. +- All 180 literal dual physical warp classes. +- All 56 residual wrapper classes, on 195 helpers. +- Every native occurrence in both clean-J words: 3507 children, 240 + warps, 978 ordinary adapters, and 390 residual adapters. + +## Frames, wrappers, and composition + +Let Gamma_U be the canonical frame of a binary subspace U. The checker +constructs it from U by an independent basis extension and the defining +permutation, quadratic phase, and coordinate Fourier gates. Each child +recipe is compared with `Gamma_V Gamma_U^-1`. The checker also verifies +that its frames are nested and that its paid rank is the absolute +difference of their dimensions. + +The source endpoint reference is the port-line operator C_q. The target +endpoint reference is `F C_q^-1`. The corresponding adapters are checked +against these operators, not only against their recorded frame numbers. +The other data endpoints are I at input and FULL at output. + +For a borrowed helper with entry E and terminal V, the raw residual is +`S = Gamma_V Gamma_E^-1`. A serialized recipe gives +`S = L C_[w] R`, where `w = dim(V)-dim(E)`. The checker proves both this +factorization and + + L^-1 S R^-1 = C_[w]. + +This is the required native action on w coordinate factors. It restores +the other `9-w` factors exactly, including phase. The helper width profile +is `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`. The proper terminal frames are +used as recorded; they are not replaced with FULL. + +The placement of these wrappers is also checked. No wrapped helper is +used by the added correction, the zero-frame precondition, or its +compensation before the entry wrapper. In particular, this check covers +the 61 helpers with entry I and a proper terminal. No proper-terminal +helper is used in the FULL-frame cleanup. These facts let the wrapper +factorization compose with the previously checked whole logical map. +All remaining scalar operations have equal operand frames, as proved in +the separate logical review. Every native record is bound to the exact +source record that the clean-J word retains. + +## Backward warp convention + +The literal inverse transpose of a unitary logical warp K is its +entrywise conjugate. The original serialized event labels are the same +for the two orientations. The orientation must therefore select the +correct physical recipe when it uses the literal dual convention. + +The new dual tables pass the independent test against + + Gamma_V conjugate(K)^sign Gamma_U^-1. + +Every such recipe has rank zero. The distinction is real: 172 of the 180 +dual physical recipes differ from the standard table for each provider. +The review does not treat the two tables as byte-equal. + +There is a general closure theorem behind this result. Let K be a +monomial Clifford operator whose nonzero entries are fourth roots of +unity. In a standard basis, write K as an affine permutation with phase +`i^(c + alpha.x + 2q(x))`, where q is a binary quadratic form. The quotient +`conjugate(K) K^-1` has phase `2(c+alpha.x)` modulo four, after an affine +change of coordinates. It is a signed Z Pauli. If +`W = Gamma_V K Gamma_U^-1` is monomial, then + + Gamma_V conjugate(K) Gamma_U^-1 + = (Gamma_V P Gamma_V^-1) W + +for that Pauli P. Clifford conjugation preserves the Pauli group, and a +Pauli is monomial. The dual product is therefore monomial. Apply the same +argument to `K^-1` for a negative occurrence. The fourth-root hypothesis +holds for every source K. With an arbitrary global phase, the quotient +is instead a scalar times a Pauli; monomial closure still follows, but +the serialized phase contract needs the stated hypothesis. + +The whole backward scalar map was proved over free invertible warp +generators. Thus it also permits a consistent same-K implementation. The +literal dual tables give the direct inverse-transpose implementation +without the need to use that alternative interpretation. + +## Checks, limits, and reproduction + +The run used Python isolation and optimization: + + python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_native.py --providers base extra --out work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json + +It returned `PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES`. Checks remain +active under `-O`. The receipt records all input pins and both providers. +Negative controls reject a wrong global phase that has the correct Pauli +action and a wrong FULL terminal. A further check confirms that literal +conjugation changes some source warp operators. + +Exact base operator identities imply the same identities for every +positive tensor power. This implication does not supply a caller's +exterior phases, legal source access, owner schedule, or recursive cost. +Those remain obligations of the complete construction. + +The fresh source generation, source attribution, and commit-pinned links +are in `../new-native-recipes-20261017/NATIVE-LIFT.md`. OpenAI Codex +assisted this independent review. This is a separate agent calculation, +not a maintainer review. No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_core.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_core.py new file mode 100644 index 0000000000..a47036bdd0 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_core.py @@ -0,0 +1,247 @@ +"""Review the changed clean-J words by free-operator transpose replay.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-core-transfer-20261017' +UPSTREAM = LANES.parent / 'upstream-refresh-20261017/pr3148/research/coupled-carrier-cap740/words' +PINS = { + 'clean_payload': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', + 'interface': 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746', + 'source_base': '300a9b8ad1d554f0e6f84f43f3f5fd870a5b4e5f81ad856900b6e8999684892e', + 'source_extra': '495d030f1e03b90e954dad3043994f03293d41b9ed220a3beaef849df435d3f0', + 'canonical_base': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', + 'canonical_extra': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', + 'local_source': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'proof': 'd12fca8b1abf95b20b9561334fb3d879d28ce880f6793a461ede0223fce1e2a0', + 'producer': '00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa', + 'producer_receipt': 'c173491679101d121a0fb43156c73ab62d9031e62b6a969a8ab80912bc36630e', +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def read(path, key, zipped=False): + raw = path.read_bytes() + if zipped: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == PINS[key], key + ' source pin') + return json.loads(raw) + + +def plus(target, source, value=F(1)): + for key, coefficient in source.items(): + coefficient = target.get(key, F(0)) + value * coefficient + if coefficient: + target[key] = coefficient + else: + target.pop(key, None) + + +def scalar(op): + kind, target = op[0], tuple(op[1]) + source = tuple(op[2]) if kind in ('copy', 'add') else None + coefficient = F(*op[-2:]) if kind in ('scale', 'add') else F(1) + need(kind in ('clear', 'copy', 'scale', 'add'), 'Scalar grammar') + need(source is None or source != target, 'Distinct scalar operands') + return kind, target, source, coefficient + + +def pullback(events, fields, columns=None): + columns = deepcopy(columns) if columns is not None else {f: {(f, ()): F(1)} for f in fields} + for event in reversed(events): + tag = event[0] + if tag == 'scalar': + kind, target, source, coefficient = scalar(event[1]) + if kind == 'add': + plus(columns[source], columns[target], coefficient) + elif kind == 'scale': + columns[target] = {key: coefficient * value for key, value in columns[target].items()} + elif kind == 'copy': + need(target[0] in ('C', 'Z'), 'Only owned copies') + plus(columns[source], columns[target]) + columns[target] = {} + else: + need(target == ('C', 0), 'Only serial owned C0 is cleared') + columns[target] = {} + elif tag == 'warp': + target, symbol = tuple(event[1]), event[2] + columns[target] = { + (output, word[1:] if word and word[0] == -symbol else (symbol,) + word): value + for (output, word), value in columns[target].items() + } + elif tag == 'zero_buffer': + if event[1] == 'alloc': + columns['Z', event[2]] = {} + else: + need(event[1] == 'free', 'Buffer lifetime grammar') + else: + need(tag in ('phase', 'climb', 'adapter', 'residual_adapter'), 'Centre-free event grammar') + return columns + + +def expected_columns(fields, r, backward): + out = {f: {} if f[0] == 'Z' or f == ('C', 0) else {(f, ()): F(1)} for f in fields} + for p in range(112): + source = ('L', 112 + p if backward else p) + target = ('L', p if backward else 112 + p) + plus(out[source], {(target, ()): F(-1 if backward else 1)}) + for row in r: + for q, coefficient in row.items(): + target = ('L', q if backward else 112 + q) + plus(out[source], {(target, ()): coefficient}, row.get(p, F(0)) * (1 if backward else -1) / 4) + return out + + +def price(op): + kind, _, _, value = scalar(op) + if kind in ('clear', 'copy'): + return 2 + numerator, denominator = abs(value.numerator), value.denominator + need(numerator > 0 and not denominator & (denominator - 1), 'Dyadic scalar') + if kind == 'scale': + need(not numerator & (numerator - 1), 'Unit scale') + return 2 * (abs(numerator.bit_length() - denominator.bit_length()) + int(value < 0)) + return 2 * (1 + numerator.bit_length() + numerator.bit_count() + denominator.bit_length()) + + +def types_and_cost(events, canonical): + frames = {('L', i): value for i, value in enumerate(canonical['start'])} + frames.update({('C', i): None for i in range(8)}) + active, allocated, freed = set(), set(), set() + profile, native, scalars, bill = Counter(), Counter(), 0, 0 + for event in events: + tag = event[0] + if tag == 'scalar': + kind, target, source, _ = scalar(event[1]) + if kind == 'clear': + need(target == ('C', 0), 'Only owned C0 can be cleared') + frames[target] = event[2] + else: + need(frames[target] == event[2] and (source is None or frames[source] == event[2]), 'Scalar endpoint frames') + need(all(ref[0] != 'C' or ref[1] == 0 for ref in (target, source) if ref is not None), 'C1 to C7 are untouched') + bill += price(event[1]) + scalars += 1 + elif tag == 'climb': + _, _, field, before, after, width = event + need(frames['L', field] == before, 'Native frame input') + need(len(canonical['frames'][after]) - len(canonical['frames'][before]) == width, 'Native frame width') + frames['L', field] = after + native[tag] += 1 + profile[width] += 1 + elif tag == 'warp': + field = tuple(event[1]) + need(frames[field] == event[3], 'Warp input frame') + frames[field] = event[4] + native[tag] += 1 + elif tag == 'zero_buffer': + field = ('Z', event[2]) + if event[1] == 'alloc': + need(field not in allocated and field not in frames, 'Single clean allocation') + active.add(field) + allocated.add(field) + frames[field] = 1 + else: + need(event[1] == 'free' and field in active, 'Live buffer release') + active.remove(field) + freed.add(field) + del frames[field] + elif tag in ('adapter', 'residual_adapter'): + native[tag] += 1 + else: + need(tag == 'phase', 'Complete event grammar') + need(not active and allocated == freed == {('Z', z) for z in canonical['zero_buffers']}, 'Every zero-buffer lifetime') + need([frames['L', i] for i in range(632)] == canonical['final'], 'All live endpoint frames') + need(frames['C', 0] == 0, 'C0 ends at I') + need(profile == Counter({1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}), 'Complete child profile') + need(native == Counter(climb=3507, warp=240, adapter=978, residual_adapter=390), 'Retained native inventory') + need(bill == 164514, 'Complete real scalar invoice') + return {'scalar_events': scalars, 'scalar_cost': bill, 'native_profile': dict(sorted(profile.items())), + 'native_mass': sum(rank * count for rank, count in profile.items()), + 'native_records': dict(native), 'zero_lifetimes': len(allocated)} + + +def main(out): + for filename, key in (('CLEAN-J-TRANSFER.md', 'proof'), ('emit_clean_j.py', 'producer'), ('CLEAN-J-TRANSFER.json', 'producer_receipt')): + need(sha256((SOURCE / filename).read_bytes()).hexdigest() == PINS[key], key + ' source pin') + data = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'clean_payload', True) + interface = read(SOURCE / 'INTERFACE.json', 'interface') + r = [{int(j): F(value) for j, value in row.items()} for row in interface['R']] + h = [{int(j): F(value) for j, value in row.items()} for row in interface['H']] + need(data['R'] == interface['R'] and data['H'] == interface['H'], 'Whole interface metadata') + need(len(set().union(*(set(row) for row in h))) == 106 and sum(map(len, h)) == 367, 'Changed helper debt support') + result = {'status': 'PASS_INDEPENDENT_NEW_CORE_LOGICAL_TRANSFER', 'source_pins': PINS, 'providers': {}} + for name in ('base', 'extra'): + published = json.loads(gzip.decompress((UPSTREAM / (name + '.json.gz')).read_bytes())) + need(sha256((UPSTREAM / (name + '.json.gz')).read_bytes()).hexdigest() == PINS['source_' + name], 'Published source bytes') + local = SOURCE / ('native-original-' + name) + need(published == json.loads(gzip.decompress((local / 'FULL-WORD.json.gz').read_bytes())), 'Source word object equality') + canonical = read(local / 'CANONICAL-WORD.json.gz', 'canonical_' + name, True) + original = read(local / 'LOCAL-PROGRAMS.json.gz', 'local_source', True) + provider = data['providers'][name] + need(provider['canonical'] == canonical, 'Whole canonical metadata') + kept = list(range(224)) + canonical['helper_origin'] + need(len(kept) == len(set(kept)) == 632, 'Compact role inventory') + need(canonical['ports'] == published['ports'], 'Actual published port labels') + need(kept == sorted(set(range(704)) - set(published['removed'])), 'Actual published live roles') + mapping = {role: i for i, role in enumerate(kept)} + need(all(canonical['start'][mapping[j]] == 0 and canonical['final'][mapping[j]] == 1 for row in h for j in row), 'All correction helper roles have I/FULL endpoints') + fields = [('L', i) for i in range(632)] + [('C', i) for i in range(8)] + [('Z', z) for z in canonical['zero_buffers']] + result['providers'][name] = {} + for orientation in ('forward', 'backward'): + events = provider['programs'][orientation] + old = original[orientation] + left, right = old.index(['phase', 'centers']), old.index(['phase', 'B']) + deleted = old[left + 1:right] + need(deleted == provider['removed_centre_blocks'][orientation], 'Exact removed centre block') + need(Counter(e[4] for e in deleted if e[0] == 'center') == Counter({8: 8}), 'Eight rank-eight centre children removed') + prefix_end = events.index(['phase', 'zero_frame_precondition']) + need(prefix_end == 832 and len(events) == 23388, 'Complete word boundaries') + tail = old[:left + 1] + old[right:] + need(events[prefix_end:] == tail, 'Only the stated deletion changes the retained source') + native = lambda word: [e for e in word if e[0] in ('climb', 'warp', 'adapter', 'residual_adapter')] + need(native(events) == native(old), 'Every native event is byte-identical') + controls = {} + tail_columns = pullback(tail, fields) + actual = pullback(events[:prefix_end], fields, tail_columns) + expected = expected_columns(fields, r, orientation == 'backward') + need(actual == expected, 'Complete exact free-operator map') + need(all(actual['L', j] == {(('L', j), ()): F(1)} for j in range(224, 632)), 'All arbitrary helpers restored') + need(all(not actual['Z', z] for z in canonical['zero_buffers']), 'All zero-input columns erased at allocation') + need(all(output[0] != 'Z' for column in actual.values() for (output, word) in column), 'Every Z output is zero at its release') + controls['omitted_input_correction'] = tail_columns != expected + wrong = deepcopy(events[:prefix_end]) + first_add = next(e for e in wrong if e[0] == 'scalar' and e[1][0] == 'add') + first_add[1][3] = -first_add[1][3] + controls['wrong_input_coefficient'] = pullback(wrong, fields, tail_columns) != expected + need(all(controls.values()), 'Changed-word controls') + report = types_and_cost(events, canonical) + report.update(formal_arbitrary_inputs=640, arbitrary_helpers=408, owned_zero_buffers=91, + C0_output='zero', C1_to_C7='untouched arbitrary inputs', events=len(events), + free_operator_output_words='all empty', controls=controls) + result['providers'][name][orientation] = report + print(name, orientation, 'PASS_640_ARBITRARY_COLUMNS_AND_91_ZERO_OUTPUTS', flush=True) + result['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + result['physical_phase_status'] = 'Only exact native-record inheritance checked here; fresh recipe verification is a separate obligation.' + result['native_owner_or_recursive_invoice'] = False + need(not out.exists(), 'Use a new output path') + out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_native.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_native.py new file mode 100644 index 0000000000..471b3150a2 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/check_new_native.py @@ -0,0 +1,246 @@ +"""Check new-core native recipes with a separate exact interpreter.""" + +import argparse +from collections import Counter +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path +import resource +import time + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-native-recipes-20261017' +INTERPRETER = LANES / 'interface-proof/verify_native_lift.py' +INTERPRETER_PIN = '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b' +CLEAN = LANES / 'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz' +CLEAN_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +PINS = { + 'base': { + 'CANONICAL-WORD.json.gz': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', + 'LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'CLIFFORD-RECIPES.json': '580dee1ca6d0a2971bc1dbe93558b8331bfa61662ce1736b24d944a55127b4f0', + 'RESIDUAL-ADAPTERS.json': '8a6130051284adf76ec932bc2a190058cc99efbed5d862bee819e3bc8c29a31b', + 'LITERAL-DUAL-WARP-RECIPES.json': 'e880f4e6ff6308675b766bfa63d472c1050b01f17fac78f8810b04eedc6e0a6e', + }, + 'extra': { + 'CANONICAL-WORD.json.gz': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', + 'LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', + 'CLIFFORD-RECIPES.json': 'f3c678f44ac8c116376d707b088516b0c17744a8508f2863843b912738d2024e', + 'RESIDUAL-ADAPTERS.json': 'dd8d70e07ae6ecc028d7691611966fcaee946279964736997af0aa78c61c2282', + 'LITERAL-DUAL-WARP-RECIPES.json': '0bafa16eea7a49af963346117cf61ca638859748752d5f0ed47a18fe6c4594ff', + }, +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def pinned(path, pin): + raw = path.read_bytes() + if path.suffix == '.gz': + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(raw) + + +def rank(vectors): + pivots = {} + for value in vectors: + while value: + p = value.bit_length() - 1 + if p not in pivots: + pivots[p] = value + break + value ^= pivots[p] + return len(pivots) + + +def raw_k(columns, native, dual=False): + matrix = native.transpose(tuple(columns)) + columns_inverse = native.transpose(native.inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(native.parity(a & b) << j + for j, b in enumerate(columns_inverse)) + for i, a in enumerate(columns_inverse)) + linear = tuple(((-1 if dual else 1) * ((row >> i) & 1)) % 4 + for i, row in enumerate(quadratic)) + return (('P', matrix), ('D', quadratic, linear)) + + +def fields(event): + if event[0] == 'warp': + return [tuple(event[1])] + if event[0] == 'scalar': + return [tuple(x) for x in event[1][1:] if isinstance(x, list)] + return [] + + +def review(provider, native, clean): + started = time.monotonic() + data = {name: pinned(SOURCE / provider / name, pin) for name, pin in PINS[provider].items()} + c = data['CANONICAL-WORD.json.gz'] + original = data['LOCAL-PROGRAMS.json.gz'] + phase = data['CLIFFORD-RECIPES.json'] + residual = data['RESIDUAL-ADAPTERS.json'] + frames = [native.frame(tuple(v), 9) for v in c['frames']] + need(len(frames) == 1130 and c['h'] == 9 and c['v'] == 112 and c['R'] == 408, 'Canonical dimensions') + need(all(rank(v) == len(v) for v in c['frames']), 'Every frame is a basis') + edges = set(map(tuple, c['edges'])) | {(a, b) for f in c['center_frames'] for a, b in ((f, 0), (0, f))} + children = {(r['old'], r['new']): r for r in phase['children']} + need(len(children) == len(phase['children']) == 3036 and set(children) == edges, 'Exact child coverage') + for i, ((a, b), record) in enumerate(sorted(children.items())): + va, vb = c['frames'][a], c['frames'][b] + need(rank(va + vb) == max(len(va), len(vb)), 'Nested child spaces') + need(record['rank'] == abs(len(vb) - len(va)), 'Child rank') + native.equal(native.recipe(record), native.adjoint(frames[a]) + frames[b], 'Child ' + str((a, b))) + if i % 200 == 0: + print(provider, 'independent phase edges', i, '/', len(children), flush=True) + + endpoints = {(r['role'], r['port']): r for r in phase['endpoint_adapters']} + need(len(endpoints) == len(phase['endpoint_adapters']) == 224, 'Unique endpoint recipes') + need(set(endpoints) == {(role, p) for role in ('source', 'target') for p in range(112)}, 'All data endpoints') + for (role, p), record in endpoints.items(): + conventional = (('C', c['ports'][p], 1),) if role == 'source' else (('C', c['ports'][p], -1),) + native.fourier(9) + f = c['start'][p] if role == 'source' else c['final'][112 + p] + need(record['frame'] == f and record['rank'] == 0, 'Endpoint frame and rank') + native.equal(native.recipe(record), native.adjoint(conventional) + frames[f], 'Endpoint ' + str((role, p))) + need(set(c['start'][112:224]) == {0} and set(c['final'][:112]) == {1}, 'Other data endpoints') + native.equal(frames[0], (), 'Identity frame') + native.equal(frames[1], native.fourier(9), 'FULL frame') + + warps = {r['op']: r for r in c['warps']} + need(len(warps) == len(c['warps']) == 72, 'Unique logical warps') + need(set(residual['warps']) == set(map(str, warps)), 'Raw warp coverage') + logical = {} + for op, w in warps.items(): + record = residual['warps'][str(op)] + need(all(record[k] == w[k] for k in ('op', 'from_frame', 'to_frame', 'G_columns')), 'Raw warp metadata') + logical[op] = raw_k(w['G_columns'], native) + native.equal(native.monomial(record['K']), logical[op], 'Raw K ' + str(op)) + physical = {(r['sign'], r['op'], r['old'], r['new']): r for r in phase['warps']} + need(len(physical) == len(phase['warps']) == 180 and set(physical) == set(map(tuple, c['warp_edges'])), 'Physical warp coverage') + for (sign, op, a, b), record in physical.items(): + need(sign in (-1, 1) and record['rank'] == 0 and record['G_columns'] == warps[op]['G_columns'], 'Warp metadata') + operator = logical[op] if sign > 0 else native.adjoint(logical[op]) + native.equal(native.recipe(record), native.adjoint(frames[a]) + operator + frames[b], 'Physical K ' + str((sign, op, a, b))) + + dual_list = data['LITERAL-DUAL-WARP-RECIPES.json']['warps'] + dual = {(r['sign'], r['op'], r['old'], r['new']): r for r in dual_list} + need(len(dual) == len(dual_list) == 180 and set(dual) == set(physical), 'Literal dual coverage') + different_dual = 0 + for (sign, op, a, b), record in dual.items(): + need(record['orientation'] == 'backward_literal_dual' and record['rank'] == 0 and record['G_columns'] == warps[op]['G_columns'], 'Literal dual metadata') + operator = raw_k(warps[op]['G_columns'], native, True) + if sign < 0: + operator = native.adjoint(operator) + native.equal(native.recipe(record), native.adjoint(frames[a]) + operator + frames[b], 'Literal dual K ' + str((sign, op, a, b))) + different_dual += record['left'] != physical[sign, op, a, b]['left'] + need(different_dual == 172, 'Literal dual differs from source K in 172 classes') + + wrappers = residual['recipes'] + wrapped = {r for r in range(224, 632) if c['start'][r] != 0 or c['final'][r] != 1} + needed_wrappers = {str(c['start'][r]) + (':' + str(c['final'][r]) if c['final'][r] != 1 else '') for r in wrapped} + need(set(wrappers) == needed_wrappers and len(wrappers) == 56 and len(wrapped) == 195, 'Wrapper class and helper coverage') + for key, record in wrappers.items(): + a, b = record['frame'], record.get('terminal', 1) + va, vb = c['frames'][a], c['frames'][b] + width = len(vb) - len(va) + need(rank(va + vb) == len(vb) and 0 < width <= 9, 'Residual nested frames') + need(record['rank'] == width and record['entrance_rank'] == len(va) and record['vectors'] == va, 'Residual entry metadata') + if b != 1: + need(record['terminal_rank'] == len(vb) and record['terminal_vectors'] == vb, 'Proper residual terminal metadata') + product = native.adjoint(frames[a]) + frames[b] + native.equal(native.recipe(record), product, 'Residual ' + key) + wrapped_product = native.adjoint(native.monomial(record['right'])) + product + native.adjoint(native.monomial(record['left'])) + native.equal(wrapped_product, native.fourier(width), 'Coordinate wrapper ' + key) + + invoices = {} + for orientation, events in clean['providers'][provider]['programs'].items(): + need(clean['providers'][provider]['canonical'] == c, 'Clean word canonical binding') + native_tags = {'climb', 'warp', 'adapter', 'residual_adapter'} + need([e for e in events if e[0] in native_tags] == [e for e in original[orientation] if e[0] in native_tags], 'Every retained native record') + entry = events.index(['phase', 'entry_adapters']) + cleanup = events.index(['phase', 'full_frame_cleanup']) + need(not {f[1] for e in events[:entry] for f in fields(e) if f[0] == 'L'} & wrapped, 'No wrapper helper access before entry wrapper') + post = {r for r in range(224, 632) if c['final'][r] != 1} + need(not {f[1] for e in events[cleanup:] for f in fields(e) if f[0] == 'L'} & post, 'No proper-terminal helper access after its core') + counts = Counter() + adapter_records = [] + wrapper_records = [] + for e in events: + if e[0] == 'climb': + _, _, _, a, b, width = e + need((a, b) in children and children[a, b]['rank'] == width, 'Paid child occurrence binding') + counts['climb'] += 1 + elif e[0] == 'warp': + op, a, b = e[2:] + need((1 if op > 0 else -1, abs(op), a, b) in physical, 'Physical warp occurrence binding') + counts['warp'] += 1 + elif e[0] == 'adapter': + _, direction, r, f = e + need(direction in ('old_to_new', 'new_to_old'), 'Adapter direction') + need(f == (c['start'][r] if direction == 'old_to_new' else c['final'][r]), 'Adapter boundary binding') + if direction == 'old_to_new': + need(r not in wrapped, 'No duplicate helper entry wrapper') + need(r < 112 or f == 0, 'Only source ports need ordinary entry adapters') + else: + need(r not in post, 'No wrong FULL adapter on a proper terminal helper') + need(112 <= r < 224 or f == 1, 'Only target ports need ordinary exit adapters') + adapter_records.append((direction, r)) + counts['adapter'] += 1 + elif e[0] == 'residual_adapter': + _, position, r, a, *tail = e + b = tail[0] if tail else 1 + need(position in ('pre', 'post') and r in wrapped and a == c['start'][r] and b == c['final'][r], 'Residual occurrence binding') + wrapper_records.append((position, r)) + counts['residual_adapter'] += 1 + need(set(adapter_records) == {('old_to_new', r) for r in range(632) if r not in wrapped} | {('new_to_old', r) for r in range(632) if r not in post}, 'All ordinary adapter occurrences') + need(len(adapter_records) == len(set(adapter_records)), 'No repeated ordinary adapter') + need(set(wrapper_records) == {(position, r) for position in ('pre', 'post') for r in wrapped} and len(wrapper_records) == 390, 'All wrapper occurrences') + need(counts == Counter(climb=3507, warp=240, adapter=978, residual_adapter=390), 'Native occurrence inventory') + invoices[orientation] = dict(counts) + + child = native.recipe(next(iter(children.values()))) + corrupt = child + (('phase', 1),) + need(native.tableau(corrupt) == native.tableau(child) and native.state(corrupt) != native.state(child), 'Global phase negative control') + proper = next(r for r in wrappers.values() if r.get('terminal', 1) != 1) + correct = native.adjoint(frames[proper['frame']]) + frames[proper['terminal']] + wrong = native.adjoint(frames[proper['frame']]) + frames[1] + need(native.tableau(correct) != native.tableau(wrong), 'Wrong FULL terminal negative control') + need(any(native.tableau(logical[op]) != native.tableau(raw_k(warps[op]['G_columns'], native, True)) for op in logical), 'Conjugation changes some warp operators') + return {'status': 'PASS_INDEPENDENT_NATIVE_CORE_LIFT', 'pins': PINS[provider], + 'frames': len(frames), 'child_classes': len(children), 'endpoint_classes': len(endpoints), + 'raw_warps': len(warps), 'physical_warp_classes': len(physical), 'residual_classes': len(wrappers), + 'literal_dual_classes': len(dual), 'literal_dual_recipes_different_from_forward': different_dual, + 'wrapped_helpers': len(wrapped), 'native_occurrences': invoices, + 'helper_width_profile': dict(sorted(Counter(len(c['frames'][c['final'][r]]) - len(c['frames'][c['start'][r]]) for r in range(224, 632)).items())), + 'negative_controls': ['wrong global phase with equal Pauli action', 'wrong FULL terminal', 'literal conjugate K can differ from K'], + 'seconds': time.monotonic() - started} + + +def main(args): + need(sha256(INTERPRETER.read_bytes()).hexdigest() == INTERPRETER_PIN, 'Independent interpreter pin') + spec = importlib.util.spec_from_file_location('independent_native_interpreter', INTERPRETER) + native = importlib.util.module_from_spec(spec) + spec.loader.exec_module(native) + clean = pinned(CLEAN, CLEAN_PIN) + result = {'status': 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES', 'interpreter_sha256': INTERPRETER_PIN, + 'clean_payload_sha256': CLEAN_PIN, 'method': 'Independent Pauli conjugation and exact 512-entry Gaussian zero-state vectors; no generator or Clifford compiler import', + 'scope': 'Local phase-aware native lift. The whole scalar map is in the separate logical review. Global hosting, owner, controller, and recursive supplier admission remain separate.', + 'backward_binding': 'Both a consistent K choice and the literal inverse-transpose choice conjugate(K) have exact rank-zero recipes. The literal dual differs in 172 of 180 physical classes per provider.', + 'providers': {name: review(name, native, clean) for name in args.providers}} + result['max_rss_bytes'] = resource.getrusage(resource.RUSAGE_SELF).ru_maxrss + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--providers', nargs='+', choices=['base', 'extra'], default=['base']) + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args()) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID-WORDS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID-WORDS.json new file mode 100644 index 0000000000..c2985f02fc --- /dev/null +++ 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"matrix": "E - K R/12", + "nullity": 8 + }, + "grid_theorem": { + "both_root_conversion_arithmetic_head_steps": "at most 8*N*M*(D+1)*(w_g+1)", + "depth_bound_73_48": "D <= 2*ceil(log2(d+1))", + "extra_numerator_bits": "at most 2*M*(D+1)", + "fixed_parent_inverse_count": "M", + "local_odd_height_per_inverse": 1, + "local_scan_arithmetic_head_steps_per_inverse": "at most 64*n*(w_g+1), for n complex entries per field", + "required_completed_child_contract": "exact Gaussian-dyadic on every data and arbitrary helper column", + "required_outer_contract": "Gaussian-dyadic endpoint for final unscaling; separate semantic restoration proof", + "root_grid_scale": "3^(M*(D+1))" + }, + "interface_sha256": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "local_factors": { + "H": { + "binary_height": 2, + "event_counts": { + "add": 832, + "clear": 16, + "scale": 8 + }, + "first_peak_event": 661, + "integral_prefix_coefficient_checks": 56264, + "literal_events": 856, + "max_coefficient_row_l1": "121", + "odd3_height": 0, + "old_real_primitives": 6720, + "pre_odd_division_heights": [], + "real_division_by_3_scans": 0 + }, + "H_inverse": { + "binary_height": 4, + "event_counts": { + "add": 832, + "clear": 16, + "divide_odd": 8, + "scale": 8 + }, + "first_peak_event": 52, + "integral_prefix_coefficient_checks": 57170, + "literal_events": 864, + "max_coefficient_row_l1": "52", + "odd3_height": 1, + "old_real_primitives": 6752, + "pre_odd_division_heights": [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "real_division_by_3_scans": 16 + }, + "H_inverse_fused_upper": { + "binary_height": 4, + "event_counts": { + "add": 864, + "clear": 16, + "divide_odd": 8, + "scale": 8 + }, + "first_peak_event": 52, + "integral_prefix_coefficient_checks": 59234, + "literal_events": 896, + "max_coefficient_row_l1": "52", + "odd3_height": 1, + "old_real_primitives": 7008, + "pre_odd_division_heights": [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "real_division_by_3_scans": 16 + } + }, + "not_claimed": [ + "complete raw A8 event transfer", + "complete controller or native phase admission", + "owner and private hosting", + "new selected kappa" + ], + "ordinary_fields": 104, + "record_arithmetic": { + "arithmetic_head_steps_per_real_scan": "at most 4*(w_g+1)", + "descriptor_counter_steps": "additional retained O(w_g+1) work per record", + "division_transition_cases": 6, + "nonmultiple_rejections": 5460, + "signed_inputs": 8190 + }, + "selected": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + "status": "PASS_A8_EXACT_ODD_GRID_NORMALIZATION" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md new file mode 100644 index 0000000000..953df4352a --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md @@ -0,0 +1,389 @@ +# Exact division by three for the actual A8 borrowed block + +The one-minor borrowed block is invertible in the retained machine model. +Its inverse needs exact division by three. The current dyadic scalar +emitter does not have this operation, but the retained fixed-tape model +already permits fixed odd divisors on a common exact grid. Thus the +modulo-three obstruction applies to that emitter's coefficient ring. It +is not an obstruction to the required computation. + +This note gives a scalar word for the actual A8 block, its fused upper +correction, and a complete representation rule for recursive use. The +fused word uses one existing private array, 7,008 old real scalar +primitives, and 16 real division-by-three scans. It adds no native child +at a legal common-frame cut. It has odd denominator height one at every +prefix. These are new finite statements about this block. The common +odd-grid method is retained prior work. + +The result does not supply the complete controller, its owners, or its +phase proof. In particular, the fused original-X response still has an +eight-dimensional kernel. The retained selected Y values are necessary +for the complete two-bank map. No new complete kappa value is claimed. + +## Source binding + +The actual interface is `../../new-core-transfer-20261017/INTERFACE.json`, +SHA256 `c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746`. +The checker verifies this pin before it reads R. The clean core, its full +native phase review, and the raw selected boundary convention are reviewed +in the parent directory's `NEW-CORE-LOGICAL-REVIEW.md`, +`NEW-CORE-NATIVE-REVIEW.md`, and `NEW-RAW-REVIEW.md`. + +The source model was fetched again at commit +`6f100d4bb5083f8c35d96fd95a539811c62f245c`. The following files have the +same Git blob identities as the prior rational-decoder source packet: + +- [The fixed-tape model](https://github.com/CrocSwap/integer-mult-bounds/blob/6f100d4bb5083f8c35d96fd95a539811c62f245c/upstream/build/sections/02-streams.tex). +- [The exact recursive contract and guard](https://github.com/CrocSwap/integer-mult-bounds/blob/6f100d4bb5083f8c35d96fd95a539811c62f245c/upstream/build/sections/05-layers.tex). +- [The retained common odd grid](https://github.com/CrocSwap/integer-mult-bounds/blob/6f100d4bb5083f8c35d96fd95a539811c62f245c/notes/stopped-product-complex.tex), in "One exact odd-denominator grid". + +The retained grid proof uses division by 21. It scales all root dyadic +inputs and dirty auxiliaries once. It proves the depth bound from the +Gaussian-dyadic endpoint of each completed child. Its exactness argument +also applies to division by three. + +The local campaign predecessor is +`../../interface-proof/rational-decoder/RATIONAL-DECODER.md`. That note +gives the exact signed scan, a one-accumulator J inverse, and the root-grid +cost. Its independent review is +`../../temporal-reuse/RATIONAL-DECODER-REVIEW.md`. The A8 factor below uses +the same arithmetic method on the actual ordinary block. It does not +claim to introduce fixed odd division or common grids. + +## The actual block and its inverse + +Let + + A = [0,7,20,27,36,46,57,111], U = {0,...,111} minus A. + +The pinned interface gives an 8 by 112 signed matrix R. Each row has 56 +nonzero entries. Write R_U for its 104 ordinary columns, and put + + K = R^T/4, H = I_U - K_U R_U. + +The checker derives, from the pinned entries, + + R_U R_U^T = 52 I_8, R_U K_U = 13 I_8. + +Each row of R_U has 52 entries, each equal to +1 or -1. Hence + + H^-1 = I_U - K_U R_U/12 = I_U - R_U^T R_U/48. (1) + +For P=R_U^T R_U, the identity P^2=52P proves both inverse orders. In fact +the coefficient of P in (I-P/4)(I-P/48) is +`-1/4 -1/48 +52/(4*48)=0`. The same calculation proves the other order. +The eigenvalue on the eight-dimensional query image is -12 for H and +-1/12 for its inverse. The eigenvalue on ker(R_U) is one. + +The failure of H to be a dyadic unit is exact: modulo three, the eight +columns of K_U are independent kernel channels. Equation (1) removes +this obstruction over Z[1/2,1/3]. It does not change the native source +operators or treat an odd division as an admitted old SCALE. + +## One private accumulator + +Use the already owned private C0 array. For each row r_i of R_U, perform +the following steps in order: + + C0 = 0 + C0 += r_i[p] * X_p for each nonzero ordinary entry p + C0 *= 1/16 + C0 /= 3 exact signed numerator division + X_p -= r_i[p] * C0 for each nonzero ordinary entry p + C0 = 0 + +All eight rows use the same array. Distinct rows are orthogonal, so the +rank-one updates have zero cross product. Their product is exactly (1). +All other fields are unchanged. C0 ends at zero and has no dependence on +its arbitrary initial value. This is an owned-array construction. It +does not permit the erasure of an arbitrary borrowed helper. + +To apply H, use the same query and scatter with `C0 *= 1/4`, and omit the +division by three. Its row updates also have zero cross product. + +Suppose that k complete inverse rows have already run. The complete next +query r_i X equals r_i times the module input, since each earlier term +contains r_i r_j^T=0. A partial query can have one new factor of three in +its denominator. The complete query has none. Division occurs only after +the complete query. The new scatter therefore adds at most one factor. +This proves the odd-height-one bound at every prefix, including partial +queries and partial scatters. It holds relative to any existing input +height, including rational inputs from an unfinished parent. + +The same argument bounds the additional binary denominator height by four +for the inverse and by two for H. Partial queries do not receive another +scale until the complete orthogonal cancellation has occurred. + +## Fuse the completed-X upper correction + +The raw selected backward boundary needs, after H^-1 on ordinary X, + + X_A += K_A R_U X_U. + +All these X fields are at the same completed full frame. Since +`R_U H^-1 = -R_U/12`, the combined map on the initial completed X is + + X_U' = X_U - R_U^T R_U X_U/48, + X_A' = X_A - R_A^T R_U X_U/48. (2) + +Thus the inverse loop can scatter through all 56 entries of the full row +R_i, instead of only its 52 ordinary entries. Each query still reads only +ordinary X. Its orthogonality and denominator proof are unchanged. +Selected writes do not enter later queries. + +This order matters. The upper correction uses the final ordinary X, and +(2) is the ordered product of that upper map with H^-1. The checker +verifies this product on all 112 data columns. It does not move a line +operator Q through R, K, or H. + +For the raw backward formula, write the original input as x=(a,u), +y=(b,v), and put q=Q^-1 on selected fields. The retained physical input +convention has selected X=Q a. The raw backward core, before its old +postlower correction, gives + + X_U = u - J_US Q a - H v, + X_A = q b - J_AA Q a - J_AU v, + Y_A = Q a, Y_U = v. + +Apply (2). The borrowed-y response of completed X becomes `diag(q,-I)`. +In particular, arbitrary ordinary borrowed v is restored with coefficient +-I; it need not be zero, divisible by three, or a previously computed +centre. The common-grid conversion below supplies the integer divisibility +for every such input. + +Let E=diag(-I_A,I_U). Apart from the explicit input Q, the fused response +of X to original x is + + A_X = E - K R/12. + +The actual matrix has `R E K=12I_8`. Therefore `A_X E K=0`, and +`E A_X=I-E K R/12` is a rank-104 projector. The nullity is exactly eight. +Division by three does not remove this content kernel. The full two-bank +map still has the selected original content in Y_A. A controller that +requires A_X^-1 cannot use this A8 word. A controller that uses the +retained selected Y must prove that use explicitly. + +## Literal invoice and finite guard + +The old scalar price is used without modification. A complex unit ADD +costs eight real primitives; a positive complex `1/4` SCALE costs four; +`1/16` costs eight; CLEAR costs two. A complex odd division is two separate +real scans. It is not assigned an old primitive price. + +| Factor | Unit ADDs | SCALEs | CLEARs | Old real primitives | Real /3 scans | +| --- | ---: | ---: | ---: | ---: | ---: | +| H | 832 | 8 | 16 | 6720 | 0 | +| H^-1 | 832 | 8 | 16 | 6752 | 16 | +| H^-1 with upper correction | 864 | 8 | 16 | 7008 | 16 | + +All three rows use no new native child. The H input word is legal on the +ordinary Y fields at frame I. The inverse and fused words are legal on +completed X at FULL. C0 must be cleared and assigned the same frame before +its query; all operations in one factor then use that frame. No nonzero +private value is relabelled. The scalar packet contains no native frame +transition. A complete transferred word must check these lifetime facts. + +An exact Fraction-row calculation covers all 113 input columns: +112 data fields and arbitrary C0. It obtains the following maximum row +1-norms over every stored scalar prefix: + +| Factor | Maximum row 1-norm | New binary height | New odd height | +| --- | ---: | ---: | ---: | +| H | 121 | 2 | 0 | +| H^-1 | 52 | 4 | 1 | +| Fused inverse | 52 | 4 | 1 | + +The row norms bound stored magnitudes relative to the maximum input field +magnitude. Primitive unit ADD temporaries are bounded by twice the larger +operand bound. The SCALEs and exact division decrease magnitude. Thus +256 times the input bound suffices for H scalar arithmetic, and 128 times +the input bound suffices for either inverse. The signed division carry is +at most two. These are finite factor bounds. They do not assert that the +old complete supplier's precision constant is unchanged. + +When added to the independently reviewed 164514-scalar core, the two +selected exchanges for F cost 416 and the one selected exchange for B +costs 208. Clearing the seven other owned fields costs 14. Thus the +predicted complete local bills are + + balanced F: 171664 old real primitives, + fused B: 171744 old real primitives plus 16 real /3 scans. + +Both retain native mass 5073. These sums are predictions for the literal +transfer. This packet does not claim to have replayed those complete new +words. Their emitter, helpers, phase bindings, and frame checks remain a +separate verification step. + +## Exact signed division and root preparation + +Use one signed w-bit two's-complement numerator. Starting at its least +significant bit, read b, write a, and update the finite carry c by + + a = (b-c) mod 2, c' = (c+3a-b)/2, c starts at 0. + +The six possible input-bit/carry transitions preserve `0 <= c < 3`. +Summation gives `3 Q_unsigned = N_unsigned + 2^w c_final`. With input +and output sign bits s_N,s_Q, the signed quotient is exact precisely when + + c_final = 3 s_Q - s_N. + +This condition rejects nonmultiples. On a valid division the quotient +cannot overflow. The numerator is overwritten in place. Carry and sign +flags need only finite control. There is no second numerical array. +At most `4(w+1)` arithmetic-head steps cover a move to the low end, the +computation traversal, delimiters, and return. Retained descriptor and +record-counter work is an additional O(w+1) per record. The coefficient +four is not claimed for that separate layer. + +Multiplication by three writes `(3b+c) mod 2` and updates +`c'=floor((3b+c)/2)`. Its signed final test is +`c_final=3s_N-s_output`. The preallocated guard prevents overflow. The +same arithmetic-head scan bound applies. Both algorithms preserve the +common record format. The checker exhausts all signed inputs at widths +one through twelve, as a check of the general invariant, and rejects the +unscaled numerator one. + +## Recursive common-grid theorem + +Assume a fixed finite parent word has M inverse-factor occurrences. Assume +all other local operations are Gaussian dyadic. Replace each completed +recursive child by its exact linear endpoint on every data and arbitrary +helper column. Assume each such endpoint is Gaussian dyadic. Let D bound +the number of recursive edges in any live call chain. Put + + K_3 = M(D+1), S = 3^K_3, common grid = 2^-P/S. (3) + +P is a binary guard for the new complete word. At the outer boundary, +multiply the padded integer numerator of every physical numeric stream by +S. This includes arbitrary borrowed data, helpers, and numeric work +streams. Private zeros remain zero. Address fields, tags, and descriptors +are not numeric payloads and are not scaled. Any numeric literal must be +written in the same representation. The factors here write only zero. + +No denominator tag is added. No stream changes format at a local +division, recursive entry, or return. A common scalar S commutes with +every exact linear native operator, so the encoded computation represents +the same operator. This statement does not apply to an unproved rounded +version of that operator. + +Each finite parent prefix adds at most M to the odd denominator height. +The height-one factor proof allows this count per inverse occurrence, +instead of eight counts for its eight divisions. Gaussian-dyadic +operations cannot add odd height. A completed Gaussian-dyadic child also +cannot add odd height, even when its input already has an odd denominator. +Only unfinished calls add height. Their chain has at most D+1 nodes. Thus +all intermediates lie on (3), and every /3 scan receives an integer +numerator divisible by three. + +This proof starts with arbitrary dyadic root values scaled by S. It does +not start with arbitrary integer numerators on the finest grid. The latter +claim would be false, as numerator one shows. It also does not permit a +completed recursive child to retain an uncancelled rational normalization. +Repeated completed children with endpoint x/3 can increase odd height +beyond any bound that counts only active depth. Such a construction needs +a different global denominator bound. + +At the completed outer return, require the exact intended +Gaussian-dyadic endpoint on all physical roles. Every numerator is then +divisible by S. Divide all physical numeric streams by three K_3 times. +This restores the original encoding of arbitrary borrowed values under +their stipulated endpoint operation. There is no new approximation error +and no new tolerance premise. The inherited final truncation occurs only +after this exact unscaling. + +If N counts all real numeric records and w_g is the guarded common width, +both outer conversions together cost at most + + 8 N K_3 (w_g+1) + +arithmetic-head steps. Descriptor and counter work adds +`O(N K_3 (w_g+1))`. The additional numerator width is at most `2K_3` bits, +since `3^K_3 < 2^(2K_3)` for positive K_3. One local inverse factor on n +complex entries per field adds at most `64 n (w_g+1)` arithmetic-head +steps for its sixteen real scans, plus the retained linear stream work. +Its old scalar invoice is separate and remains in the table above. + +For the retained 73-axis recurrence with largest child at most 48e/73, +`2*48^2 < 73^2` gives `D <= 2 ceil(log2(d+1))`. Fixed M therefore adds +O(log d) bits and O(V log d) outer work. The local scans add O(V) finite +node work. The same positive complex-power slack absorbs the outer log +factor. This statement preserves a strict exponent once its complete +supplier moment is proved; it does not supply that missing moment. + +A full guard can be constructed as in the retained proof. Give each local +scalar primitive a finite magnitude and denominator-height charge, and +use the exact bound above for each factor. Completed u-axis children add +at most u binary denominator bits and a factor `2^u` in row norm. A +finite parent with total child rank s and largest child ratio rho<1 has +a prefix bound of the form + + A(e) <= A(rho e) + a e + b, + +where a and b are explicit constants from its complete event list. For +e>=1, `(a+b)e/(1-rho)` is a linear inductive majorant, with a fixed base +allowance. The additional `2K_3` numerator bits in (3) are logarithmic. +Thus O(p) records suffice in the retained parameter family. The complete +controller must calculate its own a,b and binary P. A cancellation-based +bound for a different old whole word cannot be copied without that check. + +Replacing /3 by a dyadic approximation alone is not this extension. The +checker replaces it by 85/256 and proves that composition with H does not +restore arbitrary inputs exactly. This rejects that direct substitution. +It does not exclude a separately proved reversible rounded construction. + +## What the recent Newton-code results do and do not require + +[PR3423](https://github.com/CrocSwap/integer-mult-bounds/pull/3423) and +[PR3406](https://github.com/CrocSwap/integer-mult-bounds/pull/3406) were +refreshed and their pinned proof files were read. Exact heads, paths, and +Git blob identities are in `sources/GITHUB-PINS.json`. Their executable +suites were not rerun for this audit. + +Their actual P104 code is `B_9=E Z[i]^512`, where +`E=[[1,0],[1,1+i]]^tensor9`. The proved source Clifford alphabet preserves +this module. The signed-floor pair is exact on its stated domain. The +real initial Y banks must also satisfy the appropriate fourfold +divisibility before quarter reads. These are source-domain obligations, +not free preparation of arbitrary dirty payloads. + +The [PR3423 consumer proof](https://github.com/CrocSwap/integer-mult-bounds/blob/15d28c4de37dc47ea07cd7173c8b318fca7a4d75/research/p104-newton-interfaces/CONSUMER.md) +states the resulting coefficient map as `E^-1 A E`, and checks a case +where it differs from A. A caller must bind that changed interface. The +common scalar grid in (3) has `S^-1 A S=A` for every exact linear A. It +therefore avoids that non-scalar interface change, but pays root scaling, +extra width, exact scans, and all unchanged native operations. Neither +Newton theorem imposes a ban on odd rational intermediates in the retained +exact machine model. Their fixed P104 bill also does not replace the bill +for the changed PR3133 core used here. + +## Reproduction and remaining work + +Run one process from the workspace root: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/check_a8_odd_grid.py --out /tmp/A8-ODD-GRID-REPLAY.json +``` + +Expected status: `PASS_A8_EXACT_ODD_GRID_NORMALIZATION`. +The checker writes the boundary words next to its chosen receipt. Compare +both files to the frozen packet. It verifies all formal input columns, +both H inverse orders, the fused order, every prefix denominator bound, +all local bills, the exact X-content kernel, and signed record arithmetic. +Controls reject an omitted division, an approximate inverse, and a root +numerator outside the stated representation contract. + +The next required check is the literal transfer onto both new native +providers, with all helper and private columns, legal frames, and native +phase pins. A complete supplier must then use the retained selected +content, bind the controller, host all private state, prove every owner +endpoint, and calculate the complete moment and precision. These tasks +are not certified by this local packet. An independent reviewer must also +review this new factor and its grid argument; the producing lane's older +independent reviews do not review its own new construction. + +The actual raw selected mechanism and minor block identities come from +the native-escape and new-core-transfer lanes. The scalar scan and grid +method come from the credited retained sources and prior rational-decoder +work. OpenAI Codex assisted the derivation, implementation, and source +audit. No human review, maintainer selection, PR, push, or publication +commit is claimed. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-A8-ODD-GRID.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-A8-ODD-GRID.json new file mode 100644 index 0000000000..af1f6399f8 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-A8-ODD-GRID.json @@ -0,0 +1,17 @@ +{ + "files": { + "A8-ODD-GRID-WORDS.json": "525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9", + "A8-ODD-GRID.json": "0c1dc7cc08de30a14b42c744e73d3963a68acd83bc381f884867b85bfeaee96a", + "A8-ODD-GRID.md": "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01", + "SOURCE-PINS.json": "638f70cc1a3095efa1cd532ab3b279c28822bc9de9c54bc7350f0542a8860893", + "check_a8_odd_grid.py": "aa74c0e01378c40d94097ea4a3fe9eead907406f3199c71e75e94d24953847b4", + "sources/3406-PROOF.md": "8f0846d838eab7986f3dc56a6e9cb75544d0a89b9070a14de4629aa0b59723d6", + "sources/3423-CONSUMER.md": "22ded90f358b7ae01b7bf55463fe62942c59bd8c891caba682c6468bb6714afd", + "sources/3423-PR3382_PROOF.md": "1ca8c0e7e78f0f39de6cff7accc68ccd3901bfb50759bf7a2e2896bcf63bf081", + "sources/3423-PRODUCER.md": "c82aec3edbba959b085b893d6c32640b488bd2e9b92718670991985ce96a0212", + "sources/GITHUB-PINS.json": "8b8788aee2f4395a61c643dacc607b1e4ced664731df99aef7d5568427074c9e" + }, + "normal_and_optimized_replays": "Both PASS; receipts and literal boundary packets agree byte for byte", + "scope": "Exact A8 scalar factor and common-grid proof. Complete local transfer and complete supplier remain separate. The16CLEAR baseline is retained; the9CLEAR family extension is a separate packet.", + "status": "FROZEN_PRODUCER_PACKET_AWAITING_INDEPENDENT_REVIEW" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-MINOR-FACTORS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-MINOR-FACTORS.json new file mode 100644 index 0000000000..b653c1a924 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/FREEZE-MINOR-FACTORS.json @@ -0,0 +1,27 @@ +{ + "files": { + "FREEZE-A8-ODD-GRID.json": { + "bytes": 1366, + "sha256": "97f00c72bc3baeb4ce3ca91b91d9e46d7978d7ec502bee77845f5484731bb086" + }, + "GENERAL-MINOR-FACTORS.md": { + "bytes": 11991, + "sha256": "43382689393d1c244c55f690117610ae095ed536aaed3dbc173e2e66e074a6b5" + }, + "MINOR-FACTOR-WORDS.json": { + "bytes": 963284, + "sha256": "8d106f08b5094a0ce15008bf3d5c3a904be62e04995438830b72a1e44047b9b3" + }, + "MINOR-FACTORS.json": { + "bytes": 45922, + "sha256": "daf9ef5e88b8dd0243eec4ffe0303115bbde57fbb3a12a908583e9fd74b05140" + }, + "check_minor_factors.py": { + "bytes": 11339, + "sha256": "91317c6606657baeb243912fbe170a8ac9291257b9195d7c3b22af558a83910e" + } + }, + "scope": "General factor theorem for every union of actual complete minors; literal prefixes and sharper norms checked for each first-k union. No selected kappa claim.", + "status": "FROZEN_PRODUCER_PACKET_AWAITING_INDEPENDENT_REVIEW", + "verification": "Optimized exact checker passed all69scalarfactors;66nonempty and3identity words. Full native/controller replay is separate." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/GENERAL-MINOR-FACTORS.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/GENERAL-MINOR-FACTORS.md new file mode 100644 index 0000000000..3ec2b076cc --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/GENERAL-MINOR-FACTORS.md @@ -0,0 +1,241 @@ +# One-accumulator factors for the complete-minor family + +The serial accumulator construction applies to every union of complete +centre minors. It gives lower scalar costs for the dyadic forty-port +case, and gives exact rational implementations for the other nonsingular +cases. It also implements the original-content matrix and its inverse +at a common full frame. All factors use one existing owned C0 array and +no new native child. + +The exact algebra admits every minor count k from zero through fourteen, +except k=13 for the ordinary-block inverse and k=1 for the content inverse. +The k=1 limitation is a real rational kernel. The odd-prime failures at +other sizes concern the dyadic coefficient ring and disappear on an exact +odd grid. This statement concerns these scalar factors and their stated +cuts. It is not a complete supplier theorem. + +## Actual source and general identities + +The checker pins the actual new-core R matrix with the same SHA256 as +`A8-ODD-GRID.md`. It verifies the full partition of its 112 columns into +fourteen eight-port minors. Every minor A_j satisfies + + R_Aj R_Aj^T = 4 I_8. + +Each row has four signed unit entries in each minor. These finite facts +give the following identities for any union S of k such minors, not only +the initial unions used in the literal table. Put U equal to its complement, +K=R^T/4, d=k-13, and E=diag(-I_S,I_U). Then + + R_U K_U = (14-k) I_8, + R E K = (14-2k) I_8, + H_k = I_U-K_U R_U. + +For k different from thirteen, + + H_k^-1 = I_U + K_U R_U/d. (1) + +After the selected raw exchange and this ordinary inverse, the fused +upper correction makes the borrowed-Y response `diag(Q_S^-1,-I_U)`. +The original-X response, with its explicit input Q_S kept in place, is + + A_k = E + K R/d. (2) + +For k different from one and thirteen, + + A_k^-1 = E + E K R E/(k-1). (3) + +To prove (3), factor (2) as `E(I+E K R/d)`. The inner rank-eight update +has Schur factor `d+R E K=(1-k)I`. Its inverse is +`I+E K R/(k-1)`. Multiplication on the right by E gives (3). +No Q operator has moved through a scalar matrix in this derivation. + +At k=1, `A_k E K=0`, and `E A_k` is a rank-104 projector. Selected Y +retains the missing eight original channels in the full two-bank word. +At k=13, U is one complete minor and H_k is exactly zero on all eight +ordinary fields. No coefficient-field extension inverts that block. A +different controller can still preserve additional information elsewhere; +this result does not exclude such a change. + +At k=0, H_0=J, A_0=J^-1, and A_0^-1=J. The ordinary inverse uses +division by thirteen. There is no selected exchange. At k=14, U is empty, +the ordinary factor is the identity, A_14=-J, and its inverse is -J^-1. +These endpoints help separate a borrowed-block condition from a +restriction on the required computation. + +## The shared accumulator word + +Use one initial CLEAR of C0 and one CLEAR after each of the eight rows. +This is nine CLEARs. C0 stays at the common frame between rows. The final +CLEAR permits its return to the inherited empty-frame private convention. +No nonzero value is relabelled. The initial CLEAR removes an arbitrary +owned C0 input. Other private and borrowed fields are not erased. + +To apply H_k or its inverse, query the signed ordinary row r_i=R_i|_U +into C0. Scale it by -1/4 for H_k, or by `1/(4d)` for the inverse, and +scatter it through r_i^T. Put a negative sign in the unit ADDs instead of +using a negative SCALE. For the fused inverse and upper correction, query +the same ordinary row, but scatter through the full row R_i^T. + +To apply A_k, first apply E to the data. For each full row R_i, query +`R_i E` from the current data, scale by `1/(4d)`, and scatter through +R_i^T. To apply A_k^-1, first apply E, query R_i, scale by `1/(4(k-1))`, +and scatter through `E R_i^T`. + +The ordinary rows are orthogonal. The full-row content words have weighted +orthogonality `R_i E R_j^T=0` when i differs from j. Therefore, in each +word, a complete later query equals its query on the input to that word +after the initial E, if present. Distinct rank-one terms have zero cross +product. Their product is precisely (1), (2), or (3). + +Write the absolute scalar denominator as `2^t o`, with o odd. Implement +the scale by `2^-t`, followed by one exact division by o if o>1. For all +these factors, o belongs to `{1,3,5,7,9,11,13}`. A partial query can have +one factor of o from earlier rows. The complete query has none, by +orthogonality. It is divided only when complete. Every prefix therefore +has odd denominator dividing o relative to the module input. For o=9, +this means at most two factors of three, not one. + +All query and scatter coefficients are signed units. The largest new +binary height is five. Each row has at most 56 terms and each scaled +rank-one coefficient has absolute value at most 1/4. A data prefix has +row 1-norm at most `1+8*56/4=113`. A partial query has row 1-norm at most +`56*113=6328`. Scalar arithmetic temporaries are bounded by 12656 times +the maximum input field magnitude, which is less than `2^14` times that +bound. This conservative guard holds for every union of minors. The +receipt gives sharper exact prefix norms for each initial union tested. + +H_k acts on ordinary input Y at I. The inverse, fused upper, and content +factors act on completed X at FULL. A controller must supply those cuts +and the existing owned C0. The factors contain no native transition. + +## Exact costs + +Let `t=v_2(4|k-13|)` and `u=v_2(4|k-1|)`. For k below fourteen and +different from thirteen, the scalar costs are + + H_k: 7218 - 512k, + H_k^-1: 7186 - 512k + 16t, + H_k^-1 with upper correction: 7186 - 256k + 16t, + A_k: 7186 + 16k + 16t. + +For k different from one and thirteen, the content inverse costs + + A_k^-1: 7186 + 16k + 16u. + +The last two formulas also hold at k=14. At that size, the three ordinary +factors are empty and cost zero. They do not allocate or use C0. +The factors that have o>1 add sixteen real division-by-o scans. Those +scans are separate from the old primitive totals. + +For example, the forty-port case now costs 4,658 for H, 4,706 for its +inverse, and 5,986 for the fused inverse. The content matrix costs 7,346 +and its inverse costs 7,330. All are dyadic. The earlier frozen pivot +factor had the benefit of using no private array; these lower costs use +the C0 array already present in the actual core. The choice of interface +therefore matters. + +The following local sums include the 164514-scalar clean core, all selected +physical exchanges, and the 14-scalar cleanup of C1 through C7. Each row +has native mass 5073. The table is a scalar assembly calculation. A +literal native transfer and full controller are additional checks. + +| k | Selected fields | Balanced F | Fused B | B odd divisor | Content inverse: old cost and odd divisor | +| ---: | ---: | ---: | ---: | ---: | --- | +| 0 | 0 | 171746 | 171746 | 13 | 7218; none | +| 1 | 8 | 171650 | 171730 | 3 | Does not exist | +| 2 | 16 | 171554 | 171650 | 11 | 7250; none | +| 3 | 24 | 171458 | 171618 | 5 | 7282; none | +| 4 | 32 | 171362 | 171554 | 9 | 7282; 3 | +| 5 | 40 | 171266 | 171554 | none | 7330; none | +| 6 | 48 | 171170 | 171458 | 7 | 7314; 5 | +| 7 | 56 | 171074 | 171426 | 3 | 7346; 3 | +| 8 | 64 | 170978 | 171362 | 5 | 7346; 7 | +| 9 | 72 | 170882 | 171346 | none | 7410; none | +| 10 | 80 | 170786 | 171266 | 3 | 7378; 9 | +| 11 | 88 | 170690 | 171234 | none | 7410; 5 | +| 12 | 96 | 170594 | 171170 | none | 7410; 11 | +| 13 | 104 | Inadmissible balanced map | Singular H | — | — | +| 14 | 112 | 170352 | 167440 | none | 7442; 13 | + +Every nontrivial odd-divisor entry adds sixteen real scans for that factor. +The content inverse is not included in the B total. It acts on the whole +completed X bank. The controller must decide whether and where it is +needed. A smaller number in this table does not establish a smaller full +supplier moment. In particular, more selected ports can change the +required line-code conversions and owner schedule. + +## A common exact grid for a fixed family mix + +The prior common-grid theorem in `A8-ODD-GRID.md` applies with the odd +denominators actually used by the controller. It requires Gaussian-dyadic +endpoints for every completed recursive child and for the final outer +return. A local rational factor can occur inside those exact words. +It cannot remain as an unaccounted rational recursive endpoint. + +A uniform choice for every factor in this family is + + L = lcm(3,5,7,9,11,13) = 45045 = 3^2*5*7*11*13. + +If M bounds the number of factors with odd division in a finite parent, +and D bounds live recursive depth, use root grid `2^-P L^-K`, where +`K=M(D+1)`. Each factor adds at most one L. Completed children add none. +Scale every root numeric stream by L^K, including arbitrary dirty +helpers; unscale every final numeric stream after the proved dyadic +endpoint. The additional width is at most 16K bits. + +Six fixed-prime multiplication scans implement multiplication by L; six +division scans implement its inverse. Thus both root conversions together +need at most `48 N K (w_g+1)` arithmetic-head steps, plus retained linear +descriptor and counter work. Here N counts all real numeric records. +Each local real /o scan uses at most `4(w_g+1)` arithmetic-head steps. +The finite carry is in `{0,...,o-1}`. The general signed invariant is +`o Q_unsigned=N_unsigned+2^w c_final`, with exact signed condition +`c_final=o s_Q-s_N`. + +For a fixed family and the retained 73/48 child bound, these costs add +O(log d) width and O(V log d) outer work. The local scan cost is O(V). +An actual controller should use its smaller necessary L: k=1 needs three, +k=0 needs thirteen, and k=5 or k=9 needs no odd grid for either unit. +The complete controller must still calculate its binary guard, all +finite node work, and its supplier moment. No old precision constant is +copied by this argument. + +## Verification and credit + +Run one process: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/check_minor_factors.py --out /tmp/MINOR-FACTORS-REPLAY.json +``` + +Expected status: `PASS_ALL_COMPLETE_MINOR_SCALAR_FACTORS`. + +The checker verifies each actual minor Gram matrix and its four unit +entries per row. It then checks the literal words for the first k minors +at every k. There are 69 factors, of which 66 are nonempty and three are +the k=14 ordinary identities. Every nonempty factor checks all 113 formal +columns, including arbitrary owned C0. Every prefix checks its +denominator and row norm. Both inverse orders are checked where an +inverse exists. Wrong scatter signs fail the endpoint or the stated +divisibility invariant. All six odd-divisor scans are checked on every +signed numerator at widths one through ten. + +The executable does not enumerate all 16384 subsets of minors. The theorem +for arbitrary unions follows from the verified individual Gram identities +and the proof above. The sharper prefix norms in the receipt apply to +the literal first-k packets. The uniform bound 6328 applies to all unions. +The executable does not replay the complete native words or a controller. + +The actual minor partition and Schur formulas come from +`../../native-escape-20261017/RAW-MINOR-SUBSETS.md`. The first five minors +build on the prior protected five-minor logger. The weighted content unit +and full-frame implementation also build on the new-core-transfer lane. +The bridge-access and new-core-transfer lanes independently found that +seven adjacent zero CLEAR pairs can be merged; that change gives the +nine-CLEAR schedule used here. The exact odd-grid method and its earlier +campaign application are credited in `A8-ODD-GRID.md`. + +OpenAI Codex assisted this work. This is a producer packet and requires +independent review. 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Path(__file__).resolve().parent +LANES = HERE.parents[1] +INTERFACE = LANES / 'new-core-transfer-20261017/INTERFACE.json' +INTERFACE_PIN = 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746' +A = [0, 7, 20, 27, 36, 46, 57, 111] +U = [p for p in range(112) if p not in A] +C = 112 + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def add(dst, src, coefficient=F(1)): + for j, value in src.items(): + value = dst.get(j, F(0)) + coefficient * value + if value: + dst[j] = value + else: + dst.pop(j, None) + + +def product(a, b): + out = [] + for row in a: + result = {} + for j, value in row.items(): + add(result, b[j], value) + out.append(result) + return out + + +def odd_height(value): + denominator = value.denominator + two, three = 0, 0 + while denominator % 2 == 0: + denominator //= 2 + two += 1 + while denominator % 3 == 0: + denominator //= 3 + three += 1 + need(denominator == 1, 'Only binary and ternary denominators') + return two, three + + +def old_price(event): + if event[0] == 'clear': + return 2 + if event[0] == 'divide_odd': + return 0 + value = F(event[-1]) + n, d = abs(value.numerator), value.denominator + need(n > 0 and not d & (d - 1), 'Old primitive has a dyadic coefficient') + if event[0] == 'scale': + need(not n & (n - 1), 'Old SCALE is a signed binary unit') + return 2 * (abs(n.bit_length() - d.bit_length()) + int(value < 0)) + need(event[0] == 'add', 'Old primitive grammar') + return 2 * (1 + n.bit_length() + n.bit_count() + d.bit_length()) + + +def word(r, inverse=False, fused=False): + need(not fused or inverse, 'Only the inverse has a fused upper shear') + out = [] + for row in r: + out.append(['clear', C]) + for p in U: + if p in row: + out.append(['add', C, p, str(row[p])]) + out.append(['scale', C, '1/16' if inverse else '1/4']) + if inverse: + out.append(['divide_odd', C, 3]) + for p in (range(112) if fused else U): + if p in row: + out.append(['add', p, C, str(-row[p])]) + out.append(['clear', C]) + return out + + +def replay(events): + rows = [{p: F(1)} for p in range(113)] + maximum_norm, binary, ternary = F(1), 0, 0 + peak = None + query_heights = [] + grid_checks = 0 + for index, event in enumerate(events): + kind, target = event[:2] + if kind == 'clear': + need(target == C, 'Only allocated C0 is cleared') + rows[target] = {} + elif kind == 'add': + need(target != event[2], 'Distinct ADD fields') + add(rows[target], rows[event[2]], F(event[3])) + else: + if kind == 'divide_odd': + need(target == C and event[2] == 3, 'Only C0 has odd division') + query_heights.append(max((odd_height(value)[1] for value in rows[target].values()), default=0)) + coefficient = F(1, 3) + else: + need(kind == 'scale' and target == C, 'Only C0 is scaled') + coefficient = F(event[2]) + rows[target] = {j: coefficient * value for j, value in rows[target].items()} + for value in rows[target].values(): + two, three = odd_height(value) + binary, ternary = max(binary, two), max(ternary, three) + need((48 * value).denominator == 1, 'Every prefix is integral on the common 1/48 grid') + grid_checks += 1 + norm = sum(map(abs, rows[target].values()), F(0)) + if norm > maximum_norm: + maximum_norm, peak = norm, index + need(not rows[C], 'C0 is zero at exit') + need(all(C not in row for row in rows), 'Arbitrary initial C0 has no output effect') + return rows, {'max_coefficient_row_l1': str(maximum_norm), 'first_peak_event': peak, + 'binary_height': binary, 'odd3_height': ternary, + 'pre_odd_division_heights': query_heights, 'integral_prefix_coefficient_checks': grid_checks, + 'old_real_primitives': sum(map(old_price, events)), + 'real_division_by_3_scans': 2 * sum(e[0] == 'divide_odd' for e in events), + 'event_counts': dict(Counter(e[0] for e in events)), 'literal_events': len(events)} + + +def divide3(n, width): + unsigned = n % (1 << width) + carry, output = 0, 0 + for i in range(width): + bit = (unsigned >> i) & 1 + quotient_bit = (bit - carry) % 2 + carry = (carry + 3 * quotient_bit - bit) // 2 + need(0 <= carry < 3, 'Division carry range') + output |= quotient_bit << i + source_sign = (unsigned >> (width - 1)) & 1 + result_sign = (output >> (width - 1)) & 1 + valid = carry == 3 * result_sign - source_sign + return valid, output - (1 << width) * result_sign + + +def multiply3(n, width): + unsigned = n % (1 << width) + carry, output = 0, 0 + for i in range(width): + bit = (unsigned >> i) & 1 + total = 3 * bit + carry + output |= (total % 2) << i + carry = total // 2 + need(0 <= carry < 3, 'Multiplication carry range') + source_sign = (unsigned >> (width - 1)) & 1 + result_sign = (output >> (width - 1)) & 1 + valid = carry == 3 * source_sign - result_sign + return valid, output - (1 << width) * result_sign + + +def record_checks(): + for c in range(3): + for b in (0, 1): + a = (b - c) % 2 + next_c = (c + 3 * a - b) // 2 + need(0 <= next_c < 3 and 2 * next_c == c + 3 * a - b, 'All division transitions') + cases, rejected = 0, 0 + for width in range(1, 13): + lo, hi = -(1 << (width - 1)), 1 << (width - 1) + for n in range(lo, hi): + valid, q = divide3(n, width) + need(valid == (n % 3 == 0), 'Signed divisibility test') + need(not valid or q * 3 == n, 'Exact signed quotient') + rejected += not valid + valid, p = multiply3(n, width) + need(valid == (lo <= 3 * n < hi), 'Exact multiplication overflow test') + need(not valid or p == 3 * n, 'Exact signed product') + cases += 1 + need(not divide3(1, 8)[0], 'Unscaled borrowed numerator control') + need(F(1, 3**3).denominator > 3**2, 'Completed rational children need a stronger height bound') + return {'division_transition_cases': 6, 'signed_inputs': cases, 'nonmultiple_rejections': rejected, + 'arithmetic_head_steps_per_real_scan': 'at most 4*(w_g+1)', + 'descriptor_counter_steps': 'additional retained O(w_g+1) work per record'} + + +def main(out): + need(sha256(INTERFACE.read_bytes()).hexdigest() == INTERFACE_PIN, 'Actual new interface pin') + data = json.loads(INTERFACE.read_text()) + r = [{int(p): F(value) for p, value in row.items()} for row in data['R']] + ru = [{p: value for p, value in row.items() if p in U} for row in r] + need(all(len(row) == 52 and set(map(abs, row.values())) == {F(1)} for row in ru), 'Actual RU support and values') + need(all(len(row) == 56 for row in r), 'Actual full R support') + need(all(sum(ru[i].get(p, 0) * ru[j].get(p, 0) for p in U) == (52 if i == j else 0) for i in range(8) for j in range(8)), 'RU orthogonality') + eye = [{p: F(1)} for p in range(112)] + gram = [{q: sum(ru[i].get(p, 0) * ru[i].get(q, 0) for i in range(8)) for q in U} if p in U else {} for p in range(112)] + gram = [{q: value for q, value in row.items() if value} for row in gram] + h, hi, fused = deepcopy(eye), deepcopy(eye), deepcopy(eye) + for p in range(112): + add(h[p], gram[p], F(-1, 4)) + add(hi[p], gram[p], F(-1, 48)) + add(fused[p], {q: sum(r[i].get(p, 0) * ru[i].get(q, 0) for i in range(8)) for q in U}, F(-1, 48)) + need(product(h, hi) == product(hi, h) == eye, 'Both H inverse orders') + upper = deepcopy(eye) + for p in A: + add(upper[p], {q: sum(r[i].get(p, 0) * ru[i].get(q, 0) for i in range(8)) for q in U}, F(1, 4)) + need(product(upper, hi) == fused, 'Fused postupper order') + ek = [{i: F(-1 if p in A else 1, 4) * r[i].get(p, 0) for i in range(8) + if r[i].get(p, 0)} for p in range(112)] + need(product(r, ek) == [{i: F(12)} for i in range(8)], 'Actual R E K equals 12 I8') + content = [{p: F(-1 if p in A else 1)} for p in range(112)] + for p in range(112): + add(content[p], {q: sum(r[i].get(p, 0) * r[i].get(q, 0) for i in range(8)) + for q in range(112)}, F(-1, 48)) + need(product(content, ek) == [{} for _ in range(112)], 'The fused X-content map has eight kernel channels') + reports, words = {}, {} + for name, inverse, is_fused, target, price in [('H', False, False, h, 6720), ('H_inverse', True, False, hi, 6752), ('H_inverse_fused_upper', True, True, fused, 7008)]: + events = word(r, inverse, is_fused) + actual, receipt = replay(events) + need(actual == target + [{}], 'Complete 113-column scalar factor: ' + name) + need(receipt['old_real_primitives'] == price and receipt['real_division_by_3_scans'] == (16 if inverse else 0), 'Full factor invoice') + need(receipt['binary_height'] == (4 if inverse else 2) and receipt['odd3_height'] == int(inverse), 'Every-prefix denominator bound') + need(receipt['pre_odd_division_heights'] == ([0] * 8 if inverse else []), 'Every complete query clears prior odd denominators') + reports[name], words[name] = receipt, events + wrong = [e for e in words['H_inverse_fused_upper'] if e[0] != 'divide_odd'] + need(replay(wrong)[0] != fused + [{}], 'Omitted odd division control') + alpha = F(85, 256) + approximate = deepcopy(words['H_inverse']) + for index, event in enumerate(approximate): + if event[0] == 'divide_odd': + approximate[index] = ['scale', C, str(alpha)] + rows = [{p: F(1)} for p in range(113)] + for e in approximate: + if e[0] == 'clear': rows[e[1]] = {} + elif e[0] == 'add': add(rows[e[1]], rows[e[2]], F(e[3])) + else: rows[e[1]] = {j: F(e[2]) * v for j, v in rows[e[1]].items()} + need(product(rows[:112], h) != eye, 'Dyadic approximation does not restore arbitrary borrowed inputs exactly') + report = {'status': 'PASS_A8_EXACT_ODD_GRID_NORMALIZATION', 'interface_sha256': INTERFACE_PIN, + 'selected': A, 'ordinary_fields': len(U), 'RU_gram': '52 I8', + 'fused_X_content': {'matrix': 'E - K R/12', 'R_E_K': '12 I8', + 'kernel': 'image(E K)', 'nullity': 8, + 'limit': 'Only the borrowed-Y block is made invertible; selected Y retains the missing X content'}, + 'local_factors': reports, 'record_arithmetic': record_checks(), + 'balanced_predicted_local_bills': {'forward': {'old_real_primitives': 164514 + 6720 + 416 + 14, 'odd_scans': 0, 'native_mass': 5073}, + 'fused_backward': {'old_real_primitives': 164514 + 7008 + 208 + 14, 'odd_scans': 16, 'native_mass': 5073}}, + 'grid_theorem': {'local_odd_height_per_inverse': 1, 'fixed_parent_inverse_count': 'M', + 'root_grid_scale': '3^(M*(D+1))', 'depth_bound_73_48': 'D <= 2*ceil(log2(d+1))', + 'extra_numerator_bits': 'at most 2*M*(D+1)', + 'both_root_conversion_arithmetic_head_steps': 'at most 8*N*M*(D+1)*(w_g+1)', + 'local_scan_arithmetic_head_steps_per_inverse': 'at most 64*n*(w_g+1), for n complex entries per field', + 'required_completed_child_contract': 'exact Gaussian-dyadic on every data and arbitrary helper column', + 'required_outer_contract': 'Gaussian-dyadic endpoint for final unscaling; separate semantic restoration proof'}, + 'not_claimed': ['complete raw A8 event transfer', 'complete controller or native phase admission', 'owner and private hosting', 'new selected kappa']} + out.write_text(json.dumps(report, indent=2, sort_keys=True) + '\n') + (out.parent / 'A8-ODD-GRID-WORDS.json').write_text(json.dumps(words, sort_keys=True, separators=(',', ':')) + '\n') + print(report['status'], flush=True) + print(json.dumps(reports, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/check_minor_factors.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/check_minor_factors.py new file mode 100644 index 0000000000..e12f6cddf7 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/check_minor_factors.py @@ -0,0 +1,253 @@ +"""Check scalar factors for every complete-minor size on the actual core.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +from hashlib import sha256 +import json +from math import lcm +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +INTERFACE = HERE.parents[1] / 'new-core-transfer-20261017/INTERFACE.json' +PIN = 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746' +C = 112 +MINORS = [ + [0,7,20,27,36,46,57,111], [21,37,47,76,81,87,92,110], + [1,6,22,28,33,49,58,109], [2,9,14,19,88,95,101,106], + [3,8,15,18,89,94,102,105], [4,11,12,17,90,97,99,104], + [5,10,13,16,91,96,100,103], [23,30,60,75,82,85,98,108], + [24,34,50,74,83,86,93,107], [25,35,41,48,52,59,61,84], + [26,38,43,53,54,68,71,79], [29,32,40,45,55,66,73,80], + [31,39,42,63,64,67,72,78], [44,51,56,62,65,69,70,77], +] + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def add(dst, src, scale=F(1)): + for j, x in src.items(): + value = dst.get(j, F(0)) + scale*x + if value: dst[j] = value + else: dst.pop(j, None) + + +def product(a, b): + out = [] + for row in a: + target = {} + for j, x in row.items(): add(target, b[j], x) + out.append(target) + return out + + +def split(denominator): + two = 0 + while denominator % 2 == 0: + denominator //= 2 + two += 1 + return two, denominator + + +def price(event): + if event[0] == 'clear': return 2 + if event[0] == 'divide_odd': return 0 + q = F(event[-1]) + if event[0] == 'add': + need(abs(q) == 1, 'Unit ADD only') + return 8 + need(event[0] == 'scale', 'Scalar grammar') + a, b = abs(q.numerator), q.denominator + need(a and not a & (a-1) and not b & (b-1), 'Signed binary SCALE') + return 2*(abs(a.bit_length()-b.bit_length()) + int(q < 0)) + + +def factor(r, selected, kind): + ordinary = set(range(112)) - selected + k = len(selected)//8 + if kind in ('H','inverse','fused') and not ordinary: + return [], 1 + events = [] + if kind in ('content','content_inverse'): + events += [['scale', p, '-1'] for p in sorted(selected)] + events.append(['clear', C]) + divisor = -4 if kind == 'H' else 4*(k-1 if kind == 'content_inverse' else k-13) + need(divisor, 'Nonsingular denominator') + t, odd = split(abs(divisor)) + for row in r: + query = range(112) if kind in ('content','content_inverse') else sorted(ordinary) + for p in query: + if p in row: + sign = -1 if kind == 'content' and p in selected else 1 + events.append(['add', C, p, str(sign*row[p])]) + events.append(['scale', C, str(F(1, 2**t))]) + if odd > 1: events.append(['divide_odd', C, odd]) + scatter = sorted(ordinary) if kind in ('H','inverse') else range(112) + for p in scatter: + if p in row: + sign = -1 if divisor < 0 else 1 + if kind == 'content_inverse' and p in selected: sign *= -1 + events.append(['add', p, C, str(sign*row[p])]) + events.append(['clear', C]) + return events, odd + + +def replay(events, odd): + state = [{j:F(1)} for j in range(113)] + max_norm, binary, checks = F(1), 0, 0 + predivision = [] + for event in events: + kind, target = event[:2] + if kind == 'clear': + need(target == C, 'Owned clear') + state[target] = {} + elif kind == 'add': + need(target != event[2], 'Distinct ADD fields') + add(state[target], state[event[2]], F(event[3])) + else: + if kind == 'divide_odd': + need(target == C and event[2] == odd, 'Fixed odd divisor') + height = lcm(*(split(x.denominator)[1] for x in state[target].values())) + need(height == 1, 'The completed query has no new odd denominator') + predivision.append(height) + q = F(1, odd) + else: + need(kind == 'scale', 'Event grammar') + q = F(event[2]) + need(target == C or q == -1, 'Only data signs or C0 scales') + state[target] = {j:q*x for j,x in state[target].items()} + max_norm = max(max_norm, sum(map(abs, state[target].values()),F(0))) + for x in state[target].values(): + t, d = split(x.denominator) + binary = max(binary,t) + need(odd % d == 0, 'One local odd factor at every prefix') + checks += 1 + if events: + need(not state[C] and all(C not in row for row in state), 'All C0 columns cleared') + return state, {'old_real_primitives':sum(map(price,events)), + 'real_odd_scans':2*sum(e[0]=='divide_odd' for e in events), + 'odd_divisor':odd, 'additional_binary_height':binary, + 'prefix_odd_denominator_divides':odd, 'max_row_l1':str(max_norm), + 'complete_query_odd_divisors':predivision, + 'literal_events':len(events), 'coefficient_prefix_checks':checks, + 'events':dict(Counter(e[0] for e in events))} + + +def division_checks(p): + for c in range(p): + for b in (0,1): + a=(b-c)%2; nxt=(c+p*a-b)//2 + need(0<=nxt

>i)&1; a=(b-c)%2 + q|=a<>(w-1))&1; sq=(q>>(w-1))&1 + valid=c==p*sq-sn + need(valid==(n%p==0),'Signed divisibility') + need(not valid or p*(q-(1<1: odds.add(odd) + row['selected_fields']=8*k + row['predicted_local']={ + 'balanced_F_old':164514+416*k+14+row['H']['old_real_primitives'], + 'balanced_B_old':164514+208*k+14+row['inverse']['old_real_primitives'], + 'fused_B_old':164514+208*k+14+row['fused']['old_real_primitives'], + 'B_odd_scans':row['inverse']['real_odd_scans'], 'B_odd_divisor':row['inverse']['odd_divisor'], + 'native_mass':5073} + reports[str(k)]=row; packets[str(k)]=packet + print('PASS_MINOR_SIZE',k,row['predicted_local'],flush=True) + report={'status':'PASS_ALL_COMPLETE_MINOR_SCALAR_FACTORS','interface_sha256':PIN, + 'minors':MINORS,'cases':reports,'fixed_odd_divisors':sorted(odds), + 'uniform_odd_multiple':lcm(*odds), + 'signed_scan_checks':[division_checks(p) for p in sorted(odds)], + 'scope':'All actual scalar columns and every prefix. Literal native transfer, full controller, and complete supplier cost remain separate.'} + out.write_text(json.dumps(report,indent=2,sort_keys=True)+'\n') + (out.parent/'MINOR-FACTOR-WORDS.json').write_text(json.dumps(packets,separators=(',',':'),sort_keys=True)+'\n') + print(report['status'],flush=True) + + +if __name__=='__main__': + parser=argparse.ArgumentParser() + parser.add_argument('--out',type=Path,required=True) + main(parser.parse_args().out) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3406-PROOF.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3406-PROOF.md new file mode 100644 index 0000000000..a89746ed8a --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3406-PROOF.md @@ -0,0 +1,159 @@ +# Sharp conditional Newton entrance for the literal P104 word + +Put R = Z[i], pi = 1+i, and let B_r be the image of +E_r = [[1,0],[1,pi]] tensor r over R. Equivalently, an array on the +r-bit cube belongs to B_r exactly when its multilinear Newton coefficient +at x^S is divisible by pi^|S|. We use r=9 and 512 complex entries. +This is the domain introduced in the P104 setting by Clear1nsight's +[PR3382](https://github.com/CrocSwap/integer-mult-bounds/pull/3382), exact +`2834523b1cd4ea83ba7a043e2e2f5f3332cf9909`, following the credited Clifford, +Barnes-Wall, period and lifting work. We rederive the properties needed here. + +## The statement and its inherited premise + +Fix ywz65's PR2586 word, exact +`7953c9a8f788a8de5cf2ced63d9a61b67c22c6f1`, with the unchanged WORD and +NATIVE bytes pinned in SOURCES.json. A transport from frame A to frame B +has its retained ideal meaning Delta_B Delta_A^-1. Its archived implementation +is the actual left monomial, distinct-coordinate C stages, and right monomial. +The equality of every archived recipe to that ideal change of chart is an +**inherited native-source premise**, not a new exhaustive matrix-identity +certificate here. This distinction is needed for the symbolic row proof. +We authenticate all recipes, prove their lattice closure, and separately replay +the complete literal word on one dense entrance. That finite replay does not +independently prove the inherited recipe identities for all vectors. + +For each of the 358 independent initial public roles s, choose an integer +k_s >= 0 and allow every input in pi^k_s B_9. Private C is owned zero when +allocated. The following property holds if and only if + +- k_s >= 4 for every one of the 104 Y roles; +- k_s >= 2 for every one of the 78 N roles; +- k_s >= 0 for the remaining 104 X, 32 D, 32 G and eight Q roles. + +The property is that every public/private array at every event boundary and +at every native wrapper/stage prefix belongs to B_9. All scalar divisions and +signed-floor native stages then agree with their ideal maps on the same grid. +All eight private erasures are literal zero, and the original logical dirty +restoration and X-output shear hold in their declared final frames. +Multiplying every input and output by 2^-f gives the same statement for any +fixed nonnegative integer fractional width f. + +This is sharp among these independent principal-ideal product entrances. +It is not maximality among correlated input sets, a claim of necessary +conditions for completed-output equality, or a claim that arbitrary physical +inputs can be converted into this entrance without cost. It does not assert +that public physical arrays have identical entry/exit bytes when their frames +change. Dirty restoration means equality after their declared chart changes. + +## The lattice and the actual wrapper alphabet + +Write an array as sum_S pi^|S| c_S x^S. A one-coordinate Gaussian butterfly +C(a,b) = ((a+b+i(a-b))/2, (a+b-i(a-b))/2) obeys + + E_1^-1 C E_1 = [[1,1],[0,i]]. + +Both this matrix and its inverse are integral. Thus each coordinate C and +its inverse is an automorphism of B_r and of every pi^k B_r. +At any coordinate pair of an admitted array, the input difference is divisible +by pi. Its real and imaginary parts therefore have equal parity. In the +signed-floor pair, the difference between the ideal half and a floor half is +zero for both components or is the same half-unit for both. Rotating the +difference by i and taking the second floor cancels these errors. The resulting +pair is exactly C. The same argument works for the inverse and for negative +integers. The verifier compares the literal signed-floor formula from +Tekalign/PR3025 against each exact pair used in the complete fixture. + +The other generators are also integral automorphisms in Newton coordinates. +A bit flip sends x_j to 1-x_j, reducing or retaining degree. A coordinate swap +preserves degree. For CNOT, substitute x_j+x_k-2*x_j*x_k for x_j. If a monomial +contains j but not k, the new terms retain its degree or add one variable with +a coefficient divisible by 2, hence by pi. If it contains both, the substitution +reduces to a lower-degree monomial minus the old one. Each resulting coefficient +has the required pi divisibility. These address generators are involutions and +generate all invertible binary affine substitutions. + +A linear Gaussian phase is multiplication by 1+(i^l-1)*x_j. Its nonconstant +coefficient is divisible by pi. A quadratic sign is multiplication by +1-2*x_j*x_k; its nonconstant coefficient is divisible by pi^2. The added degree +is at most one or two respectively. Their inverses have the same property. +Constant Gaussian units preserve every module. Therefore every invertible +binary affine address map with phase + + i^(p + sum_j l_j*x_j + 2*sum_(j= max(0, max_(j,t) -v_pi(c_(j,t,s))). + +Zero coefficients impose no condition. Sufficiency follows term by term, +then by module closure. Native prefixes preserve the same module. The exact +forward rational trace in verify.py computes this maximum through all 5,398 +events. RECEIPT.json records every initial exponent, all eight zero-erasure +cuts and a coefficient attaining every positive maximum. The results are four +for all Y, two for all N, and zero for all other initial roles. The final scalar +rows restore every non-X role and give each X its original input plus Y terms. + +Necessity uses input independence. Fix a source with an attaining coefficient +q and set all other initial roles to zero. The operator between its initial +and witness frames is a B_9 automorphism. An encoded unit column is primitive +in this free R-module, and an automorphism preserves primitivity. Thus +q*pi^k times that primitive vector belongs to B_9 only if +v_pi(q)+k >= 0. Lower k by even one pi and the property fails. A smaller k +allows that same violating vector, since the input modules are nested. +The 182 witness coefficients are checked again by separate backward adjoint +traces. The verifier also runs all 182 literal single-source controls with +constant input pi^(k_s-1), all other public inputs zero. Each fails membership +or exact division no later than its recorded witness event. These finite +negative fixtures do not use the change-of-chart oracle. + +Simple minimum-path propagation loses a correlation. It asks for four pi +powers on N2 and N4. At events 448-449 the logical pair becomes + + n2' = n2-n4, n4' = (n2+n4)/2. + +Later half-reads of n2' are legal because n2' remains in 2B_9 under the stated +entrance. At events 4696-4697 the correlated update recovers the original dirty +contributions before their later half-read. Exact coefficient collection retains +these cancellations. The full forward certificate checks this through the +intervening Y updates and transports. The stronger path-only condition is +sufficient but is not the sharp product entrance. + +## Scope and the active neighboring investigation + +The current actual-caller claim is +[Discussion2750 comment19008790](https://github.com/CrocSwap/integer-mult-bounds/discussions/2750#discussioncomment-19008790). +It studies the first collector's actual 58-bank dependency cone, its named +later consumers and a complete bill. This result instead changes the **global +initial input contract** and classifies independent pi-power modules for the +entire word. It does not admit the current caller or prepare these inputs. +Our [advance scope](https://github.com/CrocSwap/integer-mult-bounds/discussions/2750#discussioncomment-19008906) +records that boundary. No first-cone/consumer result is claimed here. + +The theorem supplies a source-local restricted-state contract, under the +retained ideal native identities, at the fixed nine-bit address width. The +finite fixture confirms actual array values for one dense signed entrance, +all event/native-stage memberships, all 358 chart-aware outputs and eight +private erasures. It does not prove native covariance for every recipe/vector, +a physical allocation/route, fast recursive tariffs, a favorable complete cost, +a new all-size supplier, a new precision minimum, or a new kappa. Tensor-depth +extensions and the selected cold replay are unrun. A cheap arbitrary-input +caller still needs its own encoding/intertwining/dirty restoration and full bill. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-CONSUMER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-CONSUMER.md new file mode 100644 index 0000000000..6b06712c71 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-CONSUMER.md @@ -0,0 +1,450 @@ +# Actual P104 downstream interface and frame-path closure + +Prepared by Clear1nsight, with substantial OpenAI assistance. + +## 1. Scope and frozen sources + +This proof follows the actual arithmetic surrounding the first P104 collector +through **zero-based event 4516**. Its numerical state consists of the following +63 persistent Gaussian arrays, each with 512 entries: + +- `Y22` through `Y32`, and `Y63` through `Y103`: 52 banks; +- `D27` through `D31`: five banks; +- `Q7`: one bank; +- `G27` through `G31`: five banks. + +The owned private bank `C` exists only during events 2025–2039. Every write to a +named persistent bank depends only on these banks or `C`. The selected state +therefore has a closed chronological numerical evolution. All 675 ADDs which +read these banks and write other banks remain explicit outgoing ports, with +their event, target, coefficient, frame and initial-input row retained. + +The resulting object is an **open interface program**, not a claim to have +numerically executed the entire 4,517-event prefix. Other writes and native +transports of external banks remain outside this proof. In particular, no +initial or terminal contract for the external `X` banks is inferred merely +from their appearances as recipients. + +The source bytes are the PR2586 word and recipes retained by the rounded +collector archive on canonical commit +`6f100d4bb5083f8c35d96fd95a539811c62f245c`: + +| Input | SHA256 | +|---|---| +| `research/p104-rounded-collector/inputs/WORD.json` | `cec1fb3fbd0067b500ad5119a62ba60685be718e769374d7ec8abdd2beaa7e50` | +| `research/p104-rounded-collector/inputs/NATIVE.json.gz` | `ab91c78835c3e10cf3b2cb8a5d4e0b7cfc3df1ae5a811298d27842f2193e1e3d` | + +The literal chart is +`Delta_W = conjugate(Gamma_W) = Gamma_W^(-T)`. Write + +\[ + O=[256,136,64,40,16,4,2,1],\qquad Q=[364],\qquad + F=[256,128,64,32,16,8,4,2,1]. +\] + +The selected 576 state events consist of 392 native transports with total rank +581, 182 ADDs, one private allocation and one erasure. They include the minimal +257-event producer and the 15-event collector. These pieces must not be added +to the 576-event bill a second time. + +## 2. Admitted initial states and real quarter sites + +Let \(\pi=1+i\) and retain PR3382's Newton module + +\[ + \mathcal B_9=E\mathbb Z[i]^{512},\qquad + E=\begin{pmatrix}1&0\\1&\pi\end{pmatrix}^{\otimes9}. +\] + +The strengthened initial contract is + +\[ + Y_j^0\in4\mathcal B_9\quad(j\in\mathcal Y),\qquad + D_j^0,Q_7^0,G_j^0\in\mathcal B_9, +\] + +where \(\mathcal Y=\{22,\ldots,32\}\cup\{63,\ldots,103\}\). +Every one of these 63 initial physical frames is the empty frame. The D, Q and +G arrays can be independently dirty within this contract. + +PR3382 proves that the actual Gaussian butterfly, its inverse and the source's +affine address/quadratic phase wrapper alphabet are automorphisms of +\(\mathcal B_9\). Consequently they also preserve \(4\mathcal B_9\). +The executable here independently checks the actual wrapper schema and source +convention, and executes the signed-floor arithmetic without importing +PR3382's executable model. + +Every Y bank is transport-only throughout this word: it is never an ADD +destination. Thus admission at a named later quarter site is tied to a real +initial bank. For example, `Y103` is transported at events + +\[ + 207,980,1088,1184,1315,1470,1645,1834 +\] + +before it reaches frame F. Its first relevant downstream quarter is + +``` +2162: D28 -= Y103 / 4 at F +``` + +and its first quarter into Q7 is + +``` +4174: Q7 -= Y103 / 4 at F. +``` + +For either site, the exact condition is + +\[ + Y_{103}^{\rm current}\in4\mathcal B_9 + \quad\Longleftrightarrow\quad Y_{103}^{0}\in4\mathcal B_9. +\] + +This equivalence uses the actual path's bijective restriction to +\(4\mathcal B_9\), +not a mere forward sufficient bound. When the target is already in +\(\mathcal B_9\), its quarter update remains in \(\mathcal B_9\) if and only +if this source condition holds. Componentwise divisibility by four alone is +weaker than this Newton-module condition. + +The same 52 initial Y banks supply all 52 producer quarter reads, all 52 D +cleanup quarters and all 52 Q7 cleanup quarters. Every outgoing quarter port +also has an admitted Y source. Thus this stronger *real initial contract* +supports the later operations; no new preparation is silently inserted at +event 2162 or 4174. + +## 3. Exact authentication of the actual frame paths + +Cancellation across different frame paths cannot be inferred from equal frame +labels. The checker proves a finite operator certificate for all 392 native +occurrences in the selected state program. + +Use Gaussian Pauli operators + +\[ + P(u,v,k)|x\rangle=i^k(-1)^{v\cdot x}|x\mathbin\oplus u\rangle. +\] + +For a source wrapper + +\[ + W|x\rangle=i^{s(x)}|Ax+b\rangle, + \quad + s(x)=p+\sum_j\ell_jx_j+2\sum_{j x xor y = x+y-2xy`, and gives + +\[ + (a,b,c,d)\longmapsto + (a,\ b+c+\pi d,\ c,\ (i-1)c-d). +\] + +The phase `CZ=(-1)^{xy}=1-2xy` gives + +\[ + (a,b,c,d)\longmapsto + (a,\ b,\ c,\ ia+(i-1)(b+c)-d). +\] + +These formulas use `x^2=x`, `y^2=y` and `2=-i*pi^2`. The other bits contribute +the same common coefficient factors, so the formulas apply at every rank. +Bit swaps simply permute coefficient indices. The listed self-inverse gates +remain self-inverse under conjugation; `C` and `S` have the integral inverses +shown above. Global Gaussian units preserve the module. Thus every full source +wrapper, and its inverse, preserves `B_r`. + +No unrestricted phase or permutation is admitted by this argument. For example, +the cubic phase `(-1)^(x0*x1*x2)` applied to the constant one produces Newton +coefficient `-2` at degree three. It is not divisible by `pi^3`, so the result +leaves `B_3`. The quadratic source schema matters. + +The old structured phase witness is a positive control here. The constant one +and `i^{x_j}=1+(i-1)x_j` both belong to `B_r`, because `i-1=i*pi`. +The latter leaves the older `Gamma` period lattice, as credited in PR #3068. +That earlier counterexample did not claim that it creates a lifting error. + +## 5. One complete source-bound collector + +Use zero-based events **2025–2039** of the retained PR #2586 word. They are: + +1. Allocate zero private `C` at the common source frame. +2. Add `D31,D30,D29,D28,D27` to `C`, in that order. +3. Apply the literal rank-seven transport `U` at event 2031. +4. Add `C` to the arbitrarily dirty query `Q7` at its common frame. +5. Apply the separately archived return `V` at event 2033. +6. Subtract the five original sources in reverse order; erase exact zero `C`. + +The source arrays have 512 complex entries and nine address bits. Both native +recipes have the form `M_left C_0 ... C_6 M_right`. The complete surrounding +wrapper acts on all nine bits, so the contract is `B_9`, not an unproved +rank-seven block restriction. Source authentication binds the two event +occurrences, their frames, the common-chart ADDs and their actual recipes. +The predecessor's exact native interpretation is retained; the finite operator +check of `VU=I` is separate from the lattice exactness argument. + +Assume the five source arrays and the initial query belong to `2^-f B_9`. +They are otherwise arbitrary, independently dirty and potentially correlated. +The five sources remain available and unchanged across this whole interval. +The private `C` is owned and starts zero. No alias of those distinct roles or +nonzero private initialization is granted. + +Let `s` be the sum of the five sources. Module closure gives `s in 2^-f B_9`. +By Sections 3–4 both actual transports execute their exact ideal maps on this +domain. The query becomes `Q7+U*s`. Since `VU=I`, the private register returns +to `s`; subtracting the unchanged sources makes it exactly zero. Thus the +literal endpoint is + +\[ + (D31,\ldots,D27,Q7,C=0) + \longmapsto(D31,\ldots,D27,Q7+U\sum_jD_j,C=0). +\] + +The query remains in the same declared lattice and grid. There is no rounded +query defect, per-input grid selection, residue history or numerical downcast +in this restricted-state execution. This permits the separately archived `V`; +the unrestricted approximate lifting contract instead needs its paired inverse. +They must not be interchanged when counting operations. + +This is a boundary assumption at the actual collector cut. The earlier producer +has not been proved to supply this state for arbitrary unrestricted inputs. +The later whole word also has additional operations. A repeated collector is +valid only when its sources, frames, permissions and declared lattice are +available at its own cut. + +## 6. Quarter ADD and the exact meaning of an encoder + +Whole-array ADD by any Gaussian-integer coefficient preserves `B_r`. For an +integral array `z`, a quarter source `z/4` belongs to `B_r` exactly when +`z` belongs to `4B_r`. Integral components alone do not imply that condition. +At rank one `(4,0)` belongs to `B_1`, but `(4,0)/4=(1,0)` does not. Extend +the pair constantly in the other eight bits for the actual nine-bit counterexample. +Conversely `z=4E_r c` always has the admissible quarter `E_r c`. +The named collector contains only unit ADDs, so this counterexample marks the +external interface; no quarter instruction is treated as free within its bill. + +Encoding arbitrary raw coefficients `c` as `E_r c` changes the logical action +of a physical native map `U` to + +\[ + T=E_r^{-1}UE_r. +\] + +The gate formulas prove that `T` is an explicitly described Gaussian-integral +automorphism for the stated alphabet. They do **not** say `UE_r=E_rU`. +Already `C E_1 != E_1 C`; a control checks this distinction. Substituting this +representation into a caller expecting a different map requires its own +intertwining adapters and their complete costs. + +For clarity, one fully specified optional cold preparation realizes this +different `T` contract. Keep five arbitrary raw Gaussian coefficient source +arrays borrowed and unchanged, and give the query mutable ownership. Allocate +five zero source banks, copy the borrowed sources into them by five full-array +ADDs, and encode the five banks and query. Run the original collector on these +six encoded fields. Decode the query and all five banks. Each source bank is +then exactly its original raw source; subtract that borrowed source, check zero +and dispose of the bank. The query endpoint is `q+T*sum(sources)`. + +This construction uses six encodes, six decodes, five copy ADDs, five cleanup +ADDs and five additional owned array lifetimes. It demonstrates a complete +logical codec schedule with literal restoration. It does not admit that `T` +as a requested recursive caller, give a free borrowed-input conversion, or +establish an advantage over an existing `U` implementation. + +## 7. Gate, codec and storage ledger + +All counts in this section concern a direct scalar reference with explicit +array access. They are not tape time, native child tariffs or a lower bound. +Gaussian units, signed arithmetic and addressing are separate operations. + +An encode or decode sweep has `r*2^(r-1)` tensor pairs. Encoding a pair uses +one multiplication by `pi` and one Gaussian ADD. Decoding uses one Gaussian +subtraction and one exact division by `pi`. Multiplication by `pi` is +`(a-b,a+b)`; exact division is `((a+b)/2,(b-a)/2)`. Thus each encode pair costs +four real additions/subtractions, while each decode pair adds two exact real +halvings. Each loads four real components and writes two. An in-place sweep +uses the owned numerical array and four real work words; loop/control storage +and physical routing are additional. Borrowed input cannot be overwritten to +obtain this in-place price. + +At `r=9`, each direction has **2,304 pairs**. The optional cold schedule therefore +adds 13,824 `pi` multiplications, 13,824 exact `pi` divisions, 110,592 real +additions/subtractions, 27,648 exact real halvings and its ten full-array copy/ +cleanup ADDs. Those ten ADDs add 10,240 real additions/subtractions, 20,480 +real-component reads and 10,240 writes. The codecs add 110,592 component reads +and 55,296 writes. Five extra owned banks add 2,560 complex words and 5,120 +component initializations and zero checks each. These quantities are additional +to the direct collector below; they are not paid by an abstract rank count. + +For the literal collector, both seven-stage transforms use `7*512=3,584` +pair applications altogether. Each credited signed-floor pair costs eight +real additions/subtractions, four real floor halvings and one Gaussian quarter +turn. The eleven field ADDs cost `22*512` more real additions/subtractions. +The four actual wrapper cycle counts, in chronological order, are + +\[ + U_{right}:64,\quad U_{left}:128,\quad V_{right}:160,\quad V_{left}:64. +\] + +The credited one-zero-Gaussian-scratch cycle algorithm uses `N+c` swaps for a +wrapper with `c` cycles and `N` unit phase applications. Here it gives **416 +cycles and 2,464 swaps**, plus 2,048 phase applications. The old paired-inverse +schedule's 384 cycles and 2,432 swaps do not price these separately archived +return wrappers. The phase acts on the cycle scratch before each swap, so its +arithmetic is counted without an extra full-array phase pass. + +| Direct collector operation | Count | +|---|---:| +| Signed-floor pair applications | 3,584 | +| Real additions/subtractions, including all eleven field ADDs | 39,936 | +| Real floor halvings | 14,336 | +| Pair Gaussian quarter turns | 3,584 | +| Actual wrapper Gaussian swaps | 2,464 | +| Actual wrapper unit phase applications | 2,048 | +| Butterfly real-component reads / writes | 14,336 / 14,336 | +| Field-ADD real-component reads / writes | 22,528 / 11,264 | +| Wrapper-swap component reads / writes, including scratch | 9,856 / 9,856 | +| Private initialization / zero-check component inspections | 1,024 / 1,024 | + +The 10,240 source-component reads are a subtotal of the field-ADD reads, not an +extra charge. The direct contract has five borrowed source arrays, one mutable +query, one owned zero private array and one zero Gaussian wrapper scratch, +with constant pair work. The optional cold schedule supplies the five source +arrays by additional owned copies. Source plans, range/type validation, +permissions, address/control work, physical movement, allocator behavior, +recursive children, precision metadata and final endpoint consumption require +their actual caller's tariff. They do not acquire a zero price from these +scalar counts. + +## 8. Finite headroom + +Let `H` bound the absolute value of every real and imaginary component at a +codec's own entrance. During an encode the exact largest real component row +sum after at most `r` factors is bounded by + +\[ + M_r=\sum_{k=0}^r {r\choose k} + (|\Re\pi^k|+|\Im\pi^k|). +\] + +This follows by expanding a tensor row; its entries are powers of `pi`, one +for each subset. A smaller partial row is covered by the same nonnegative +bound. For `r=9`, `M_r=3363`. Thus `M_r H` bounds stored encoder components; +`3 M_r H` is a conservative bound for its two-step arithmetic temporaries. + +A row of a `k`-factor inverse sweep is a signed sum of `2^k` inputs divided by +`pi^k`. Its real component row sum is +`2^k (|Re pi^-k|+|Im pi^-k|)=|Re pi^k|+|Im pi^k|`, at most +`2^ceil(r/2)`. Therefore decoder components are bounded by `2^ceil(r/2) H`, +and its subtraction/numerator temporaries by four times that amount. These +are sufficient arithmetic bounds, not a compression or precision advantage. + +For the direct collector suppose its six admitted entrance fields have +integer numerator components bounded by `H`. The sum of five sources has +Hilbert norm at most `5 sqrt(2N) H`. Every exact native prefix is unitary, +including each wrapper. At `N=512`, **160 H** bounds every native-prefix real +component; **161 H** bounds the updated query. A conservative signed-floor +pair scratch bound is **800 H**. Gathers and ungathers are bounded sums of at +most five unchanged sources. Partially written stages store either preceding +or completed pair values, so these same bounds cover the entire execution. + +For the optional cold caller, now let `H` bound its **raw coefficient** entrance. +Encoding gives `3363 H`; the collector therefore gives an encoded query bound +`161*3363 H=541443 H`. Decoding that query gives at most +`32*161*3363 H=17326176 H`. The conservative complete scratch bound is four +times this last quantity, **69304704 H**, which also dominates the encoder, +native pair, source-bank decoding and cleanup temporaries. These composed +bounds make the optional caller's finite-width obligation explicit; they are +not measured peaks or necessary widths. + +For a nonnegative integer component bound `M`, +`1+ceil_log2(M+1)` signed bits suffice. This states an explicit finite range; +an actual fixed-width implementation must use that range, retain the required +grid and charge its bit arithmetic. The older sharp scalar-grid/Clifford +denominator results remain credited and unchanged. + +## 9. Evidence boundary and stopping decision + +The written arguments hold at every finite rank. The new managed-Python model +and finite source checks are bounded by nine address bits, 512 complex entries +and 8,192 magnitude bits per admitted input or returned array component. +Signed storage may require another bit; exact arithmetic temporaries have the +additional finite headroom derived above. The functional model allocates fresh +lists, while the direct ledger prices the separately specified in-place codec +and credited cycle-scratch algorithm. It is not a measurement of Python +allocation. Membership checks and snapshots inside verification are test work; +a production caller must establish or pay for its lattice entrance. +Managed allocation and verification snapshots are not a physical memory +implementation. Exact checks use explicit exceptions, including under Python +optimization. + +Finite verification binds the two archived recipes, checks exact operators and +both literal directions on admitted states, tests dirty collector endpoints, +and exercises the missing-prefix, phase-alphabet, wrong weighting, quarter-ADD, +intertwiner and source/invoice failure boundaries. The separate checker uses +its own representation and does not derive a nonlinear universal theorem from +finite basis samples. Source-native correctness, physical ownership, eventual +recursive prices and human/proof-kernel admission remain separate premises. + +The result stops at a phase-compatible exactness theorem, one actual complete +local collector, an explicit codec/intertwiner, and their full direct logical +ledger. It neither proves that earlier arbitrary P104 inputs satisfy the +entrance nor extends the contract to the later quarter ADDs. A larger caller +needs an actual admitted source of this state and a compatible fully charged +consumer. No selected frontier, all-size supplier, new scalar-grid guard, +physical storage saving or new kappa follows. + +Prepared by Clear1nsight with substantial OpenAI assistance. Separate automated +derivation and review are not independent human or formal-kernel verification. +Apache-2.0; predecessor authors and original source notices retain their credit. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-PRODUCER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-PRODUCER.md new file mode 100644 index 0000000000..01c1369500 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/3423-PRODUCER.md @@ -0,0 +1,310 @@ +# Actual producer admission for the first P104 collector + +This note answers the producer question left by PR #3382. The actual source +path can supply its numerical entrance under an explicit stronger initial +contract. Admission from arbitrary initial lattice states is false: a single +initial coordinate gives a source-bound counterexample, even though all +arithmetic on that execution remains exact before the collector. + +The result is a conditional producer theorem and one reachable counterexample. +It does not admit a complete P104 supplier, classify all possible final-cut +cancellations, or supply physical access to the numerical banks. + +## 1. Exact source and dependency boundary + +The word and native recipes are ywz65's PR #2586, head +`7953c9a8f788a8de5cf2ced63d9a61b67c22c6f1`, retained in +`research/p104-rounded-collector/inputs/WORD.json` and `NATIVE.json.gz`. +Their SHA256 digests are respectively +`cec1fb3fbd0067b500ad5119a62ba60685be718e769374d7ec8abdd2beaa7e50` and +`ab91c78835c3e10cf3b2cb8a5d4e0b7cfc3df1ae5a811298d27842f2193e1e3d`. +The referenced Gaussian model is the byte-identical PR #3382 `model.py`, +SHA256 `74c83367887dd885137b222155c86389fe0be9f1293a6f0e5fdb51d71f435fdd`. +This package retains it as [`inputs/pr3382_model.py`](inputs/pr3382_model.py), +alongside its credited [`inputs/PR3382_PROOF.md`](inputs/PR3382_PROOF.md). +The consolidated source manifest is `SOURCES.json`; source bytes are +authenticated before the model is executed. The word and native inputs +remain at their original repository paths in both the checkout and the +portable source export. + +The collector starts at zero-based event 2025. An ADD record is +`["add", destination, source, coefficient, frame]`. This direction matters: +the appearances of Q7 at events 492–543 are reads into X targets, not writes +to Q7. Backward dataflow from D31, D30, D29, D28, D27 and Q7 produces exactly +257 events and 58 initial dependencies: + +- The five initial D banks and initial Q7. +- Y22 through Y32 and Y63 through Y103: 52 initial Y banks. + +All 58 start at frame `[]`. The slice contains 200 actual native transports, +of total native rank 354, and 57 ADDs: 52 positive quarter-source ADDs and +five unit subtractions into Q7. There is no X, G or N dependency in these +six numerical outputs. + +| Produced bank | Quarter source count | First quarter event | Last write before the cut | +|---|---:|---:|---:| +| D31 | 3 | 1090 | 1233 | +| D30 | 7 | 1093 | 1395 | +| D29 | 7 | 1177 | 1461 | +| D28 | 11 | 1087 | 1643 | +| D27 | 24 | 1157 | 1831 | +| Q7 | 0 | — | 972 | + +Every one of the 52 Y banks is used exactly once by these five D targets. +Each Y bank changes only by native transports before its required read. +The complete event lists and source names are derived from the frozen word +and retained in the receipt. + +Q7 subtracts the five *initial* D values at 908, 910, 912, 914 and 916. +Each D bank's own initial transport follows its subtraction. Hence, writing +`q` and `d_j` for initial values, its cut value is exactly the event-972 map +applied to `q-sum(d_j)` whenever the stated admission condition holds. + +The five D outputs reach frame `[256,136,64,40,16,4,2,1]`, and Q7 reaches +`[364]`. Frame checks establish the specified program boundary. They do not +construct physical ownership or read permissions. The initial D and Q banks +are mutable dirty inputs. The Y banks are also numerically transported; they +cannot be charged as immutable borrowed raw arrays without a separate copy +or representation contract. + +Only the six target outputs of a minimal backward slice are actual cut +states. A sliced auxiliary Y bank stops at its last required read, even if +the original word transports it later. A downstream execution must use the +actual initial-to-cut Y transport, not that historical read state. + +## 2. The exact conditional theorem + +Put `pi=1+i` and use PR #3382's Gaussian Newton lattice + +\[ + \mathcal B_9=\left\{f(x)=\sum_S a_Sx^S: + \pi^{|S|}\mid a_S\right\}. +\] + +The earlier proof establishes that every actual affine/quadratic Gaussian +wrapper and every coordinate butterfly is a linear automorphism of this +lattice. The literal signed-floor butterfly equals the ideal one on it, +including negative integers. Thus each full literal native transport +restricts to an automorphism of `B9`, and of `4B9`. + +**Producer theorem.** Assume the 58 initial numerical banks belong to +`2^-f B9`, and the 52 listed Y banks belong to the stronger module +`2^-f 4B9`. Keep their distinct program roles and declared frames. Then every +relevant native stage and ADD is exact on the retained grid, every tracked +bank remains in `2^-f B9`, and all six produced collector inputs meet +PR #3382's numerical entrance contract. + +The initial D and Q values are arbitrary within the stated module; they +need not be zero, small, independent, or uncorrelated. To prove the theorem, +observe that each Y path preserves `4B9`, so its quarter is in `B9` at its +actual read. An ADD of two lattice elements stays in the lattice. All +native transports preserve it, and Q7's five initial subtractions preserve +it. Induction through the extracted source order proves the claim. + +There is a sharp converse for this *prefix* invariant. Under the weaker +assumption that all 58 initial banks are in `B9`, every tracked complete +native stage and event remains in `B9` if and only if all 52 initial Y banks +are in `4B9`. A complete native stage here means a complete wrapper or all +disjoint butterflies on one coordinate. A physical permutation cycle's +intermediate partially rearranged array is not asserted to lie in `B9`; +its operations use Gaussian integers and contain no division. +For necessity, take any quarter event. Its destination before and after the +event is in `B9`, so their difference, the quarter source, must be in `B9`. +Its source is therefore in `4B9` at that read. The source's preceding native +path is an automorphism of both modules, so its initial value was in `4B9`. +Every listed Y is read, proving the necessity of all 52 conditions. + +The 52 stronger source conditions are therefore sufficient for the six +final-cut inputs and necessary for the stated prefix invariant. They are +not asserted necessary for admission at only the final cut. Outside-lattice +contributions can cancel after earlier bad prefixes. +Neither such a cancellation domain nor arbitrary rounded executions are +classified here. The quarter operation in this theorem is the exact scalar +ADD appearing in the word; a componentwise rounded quarter is a different +operation and has not been substituted. + +The encoder makes the positive contract constructive as a numerical +representation: initial D and Q may be `E9*c`, and initial Y may be +`4*E9*c`, for arbitrary Gaussian coefficient arrays. All conversion, +preservation and eventual inverse-conversion costs remain part of the +caller's bill. In particular the old six-field local codec does not prepare +these 52 stronger Y sources for free. + +## 3. One-coordinate actual-source counterexample + +Set the original persistent input `Y27[0]=64`, and set every other initial +component of all 358 persistent banks to zero. This is one explicit input +choice, not a zero assumption about general dirty state. Its initial Y27 is +`64*delta_0`. Every Newton coefficient of that impulse is `+64` or `-64`. +Since `v_pi(64)=12` and every degree is at most nine, all initial banks lie +in `B9`. But Y27 is not in `4B9`: the degree-nine condition would require +valuation at least thirteen. + +The actual Y27 producer transports are events 131 and 1056, of ranks one +and two. Event 1090 adds one quarter of their output into D31. For this +fixture the division is componentwise integral, and every literal native +pair in the producer cone agrees exactly with its ideal pair. Nevertheless +the first lattice failure **in the 257-event producer cone** occurs at 1090: + +\[ + S=349\quad(|S|=6),\qquad a_S=-4-4i,\qquad + v_\pi(a_S)=5<6. +\] + +D31 subsequently receives zero from Y26 and Y99 and executes the actual +transports 1092, 1131 and 1233. At the collector entrance its output has +256 nonzero entries, each a Gaussian unit. A two-address witness suffices: + +\[ + D31[8]-D31[0]=-1. +\] + +This is its degree-one Newton coefficient at address bit three. It is not +divisible by `1+i`, so D31 fails the entrance condition. The other four D +inputs and Q7 are zero and satisfy it. + +There are two useful conceptual checks on this failure. First, an exact +native transport is an automorphism of `B9`; applying its inverse to an +admitted output would give an admitted input. Second, the unrestricted +literal signed-floor pair is a bijection, with the credited negative pair +as its inverse, and both restrict to lattice automorphisms. Consequently +even an outside-lattice *literal* native cannot move a state into `B9`. +The latter argument does not assume that unrestricted floors are linear. +For this particular fixture, the stronger direct literal/ideal comparison +also passes at every producer pair. + +Multiplying the input amplitude by four, to `Y27[0]=256`, gives a positive +control. It starts in `4B9`; the whole producer cone remains admitted, and +its D31 cut output is four times the negative fixture's output. Amplitude +64 is a simple constructive witness, not a claimed minimum over all inputs. + +## 4. Why this witness can reach the cut + +A counterexample at a chosen read would not by itself show that the earlier +word can supply that read on the retained grid. Here a small Gaussian +valuation certificate establishes reachability for the explicit initial +point through events 0–2024. + +If every component is divisible by `pi^k`, a Gaussian monomial wrapper +preserves this property. Each coordinate butterfly has coefficients equal +to Gaussian units divided by `pi`, so it loses at most one power. If the +available lower bound is at least the native rank, every ideal stage stays +Gaussian integral, and the literal floor implementation agrees with it at +each stage. A quarter coefficient loses four powers. Exact zero banks have +an infinite bound until a nonzero source is added; for additions take the +minimum of the two source bounds. This is a conservative valuation argument, +so cancellation can only improve it. + +Starting from valuation twelve in Y27, exactly 20 native occurrences and +six quarter-source events are active before the cut. The latter are: + +| Event | Destination | Y27 cumulative native rank | Valuation lower bound after quarter | +|---|---|---:|---:| +| 1090 | D31 | 3 | 5 | +| 1190 | D10 | 4 | 4 | +| 1303 | D20 | 5 | 3 | +| 1499 | D24 | 6 | 2 | +| 1763 | D1 | 7 | 1 | +| 1937 | D16 | 8 | 0 | + +Each listed D branch spends at most that remaining valuation in its later +native stages and ends with a nonnegative lower bound. Y27's final native +stage leaves bound three. Every fractional source in the full prefix is +therefore exactly representable on this one execution; all other source +banks remain zero. The certificate binds all 20 active native occurrences +to their archived frames, ranks and actual wrapper alphabet, and checks +the coefficients and unit signs of the entire prefix. + +This valuation certificate proves exact arithmetic and existence of this +one prefix execution. It does not by itself prove lattice membership at +the outside-cone events or a universal full-prefix admission theorem. + +There is also a separate direct replay in [`independent.py`](independent.py). +It imports neither the producer or consumer checker nor the PR #3382 model. +Starting from all 358 original persistent banks, it executes every event +from 0 through 2024, authenticates all 883 native occurrences in that prefix, +and tracks the actual states and frames. Exact-zero native inputs remain +zero; the 20 active native occurrences require 6,144 independent literal +signed-floor versus ideal pair comparisons. All six active quarter ADDs +are checked componentwise integral, and every initial bank is independently +checked for Newton membership. + +This replay passes and agrees with the producer on all six collector-input +frames and array hashes. In particular its D31 output is +`adde9450101abb38b9f2c225459b1068526a1fc6dede4957615e2b0ef5ed8a21`, +with the same degree-one failure at mask 8. Its earliest failure in the +**full 2,025-event prefix** is also event 1090, D31, coefficient `-4-4i` +at mask 349. Thus the stronger full-prefix location is established by this +separate replay; it is not inferred from the smaller producer slice. + +The negative example is consequently reachable on the retained exact grid +from explicit admitted initial lattice states. This remains a one-point +result. It does not claim general membership throughout the full prefix, +execute the later events of the 5,398-event word, or establish a physical +implementation. + +## 5. Reproduction, controls and limits + +`producer.py` exposes +`verify_producer(word_path, native_path, model_path) -> deterministic JSON`. +It uses standard-library Python and the authenticated PR #3382 model; no +native compiler, Git, network, large search or predecessor test suite is +needed. From the repository root, or the same root in the portable source +export, run the package's dedicated verifier: + +```sh +python3 -B research/p104-newton-interfaces/verify.py +``` + +The same obligations can be checked with assertions disabled: + +```sh +python3 -O -B research/p104-newton-interfaces/verify.py +``` + +`VERIFY.json` records the package replay contract and `RECEIPT.json` records +the consolidated execution, source bindings, environment and controls. +This is a dedicated package workflow; it does not require registration in +the repository's shared verification suite. The caller supplies the exact +vendored model path to the producer API. `independent.py` supplies its separate +full-prefix and symbolic-port evidence to the same consolidated verifier. + +The verifier extracts and checks the exact source order, frames and native +recipes. It compares 90,624 literal/ideal pair obligations per fixture: +one dense signed fixture with arbitrary dirty initial D/Q banks, the +one-coordinate counterexample, and the amplitude-256 positive control. +On admitted fixtures it also checks every native stage and event's lattice +membership. Written invariance and necessity arguments establish the +universal conditional theorem; those finite cases do not replace it. + +Small controls reject corrupt source bytes, a changed quarter coefficient, +an omitted Y27 source, and swapped chronological source reads. Signed +exact quarters are accepted, while a negative nonintegral quarter is +rejected explicitly. All checks use exceptions and remain active with +Python optimization. The frozen all-rank model's original broad tests are +not repeated by this follow-up. + +The producer's three-fixture replay passes in both ordinary and optimized +CPython 3.12.14, producing byte-identical proof-relevant child receipts. Each +mode checks 271,872 pair obligations in total. The independent full-prefix +replay supplies a different source-wide reachability check for the one +counterexample, while the universal conditional theorem relies on the +written invariant and its inherited all-rank lattice proof. + +The substantive answer is that a real source path is now bound, but its +admission is a stronger input contract rather than a property of arbitrary +lattice inputs. A complete caller must supply the 52 `4B9` states with their +actual source access and prices, and a downstream consumer must preserve +the requested logical map. The actual downstream contract is developed in +[`CONSUMER.md`](CONSUMER.md), and the complete retained interface bill and +conditional outer stop test are in [`COMPARISON.md`](COMPARISON.md). +Any full physical or recursive improvement must include those obligations +and the literal restoration bill. + +Prepared by Clear1nsight with substantial OpenAI assistance. Credit remains +with ywz65 and the P104 native lineage, Arham Tahir's retained rounded +collector archive, Tekalign's PR #3025 signed-floor bijection, +Ross Richardson's PR #3068 exactness-domain question, and +PR #3382's Gaussian Newton/Clifford proof and model. The new claims are the +actual producer binding, its quantified stronger entrance condition, and +the reachable one-coordinate counterexample. Apache-2.0. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/GITHUB-PINS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/GITHUB-PINS.json new file mode 100644 index 0000000000..9325a1be36 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/sources/GITHUB-PINS.json @@ -0,0 +1,34 @@ +[ + { + "pr": 3423, + "path": "research/p104-newton-interfaces/PRODUCER.md", + "ref": "15d28c4de37dc47ea07cd7173c8b318fca7a4d75", + "git_blob": "01c13695001a7c563050166802f917a45dcab3ec", + "local": "3423-PRODUCER.md", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/15d28c4de37dc47ea07cd7173c8b318fca7a4d75/research/p104-newton-interfaces/PRODUCER.md" + }, + { + "pr": 3423, + "path": "research/p104-newton-interfaces/CONSUMER.md", + "ref": "15d28c4de37dc47ea07cd7173c8b318fca7a4d75", + "git_blob": "6b06712c7119776eb9fbcf6110d376df12200787", + "local": "3423-CONSUMER.md", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/15d28c4de37dc47ea07cd7173c8b318fca7a4d75/research/p104-newton-interfaces/CONSUMER.md" + }, + { + "pr": 3423, + "path": "research/p104-newton-interfaces/inputs/PR3382_PROOF.md", + "ref": "15d28c4de37dc47ea07cd7173c8b318fca7a4d75", + "git_blob": "10b3202c788b5b03188eed91181441dfd793ff7f", + "local": "3423-PR3382_PROOF.md", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/15d28c4de37dc47ea07cd7173c8b318fca7a4d75/research/p104-newton-interfaces/inputs/PR3382_PROOF.md" + }, + { + "pr": 3406, + "path": "research/p104-newton-source-contract/PROOF.md", + "ref": "18a054fd585ab4b2010770ec83cba0c9f28184e3", + "git_blob": "a89746ed8aea0124692100fb6d04536c01d88192", + "local": "3406-PROOF.md", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/18a054fd585ab4b2010770ec83cba0c9f28184e3/research/p104-newton-source-contract/PROOF.md" + } +] diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/interface-proof/rational-decoder/RATIONAL-DECODER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/interface-proof/rational-decoder/RATIONAL-DECODER.md new file mode 100644 index 0000000000..75591b63e9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/interface-proof/rational-decoder/RATIONAL-DECODER.md @@ -0,0 +1,328 @@ +# Exact rational centre operations in the selected arithmetic model + +The current scalar emitter does not admit division by 3 or 13. The retained +fixed-tape model does admit these operations on a common exact grid. This +note gives two local implementations and states the complete representation +cost. It does not give a decoded Fourier supplier. + +The first implementation applies the actual 112-port matrix + +\[ +J^{-1}=I-R^TR/52, +\qquad RR^T=56I_8. +\] + +It uses one existing private array. Its local cost is 7,232 inherited real +scalar primitives and 16 real division scans. It adds no native child when +its operands already have one common frame. Its maximum additional +13-denominator height is **one at every prefix**. The second implementation +makes the selected-sum Smith repair invertible with division by 3. It still +needs eight native line copies into the selected Y hole frames. + +## Sources and scope + +`SOURCE-PINS.json` records the source commit and exact file hashes. The +source commit is `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. The scalar +admission rule in `hpe_audit_and_transport.py` accepts dyadic ADD coefficients +and signed binary SCALE coefficients. `hpe_emit_local.py` gives their finite +primitive invoice. No change to those files is made here. + +The retained `notes/stopped-product-complex.tex`, section "One exact +odd-denominator grid", already implements division by 21. It requires that +all completed recursive children are exactly Gaussian dyadic. The new +common-grid argument below is an application of that method. It is not a +claim to introduce odd grids. The new finite statements are the actual +J-inverse prefix bound, its literal scalar word, and the Smith inverse with +its representation and native-access obligations. + +The underlying machine model is in +`upstream/build/sections/02-streams.tex`. It has a fixed alphabet and a fixed +number of tapes. The array kernels and exact guard are in +`upstream/build/sections/05-layers.tex`. The selected finite invoice is the +member `candidate/strict/global/audit/PREFIX-AND-INVOICE.json` of archive +`f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6`. +Its member SHA-256 is +`212cf4ee3b16081bf66f300fa18b4070d25c17210c21c78c2967892c91870d12`. + +All scalar coefficients act once on each array value. They are not raised +to the tensor multiplicity. A scalar operation commutes with one common +native frame on all its operands. It does not commute through unequal +frames merely because its coefficient is rational. + +## The one-accumulator inverse + +Write the rows of R as r_0 through r_7. For each i, perform + +\[ +c\gets0;\quad c\gets r_i x;\quad c\gets c/4;\quad +c\gets c/13;\quad x\gets x-r_i^T c;\quad c\gets0. +\] + +The C0 array is private and can be cleared. This is not a dirty-accumulator +construction. Every unrelated data or helper array is unchanged. C0 ends +at zero. Its initial value can be arbitrary because the first operation +clears that allocated private array. + +For i unequal to j, r_i r_j^T=0. Thus distinct rank-one updates have zero +cross product. Their product is exactly I minus R^TR/52. Replacing the +13-division by the identity gives J. Since (R^TR)^2=56R^TR, both products +JJ^{-1} and J^{-1}J are I. + +At the beginning of row i, the complete query r_i x equals its query on +the original module input. Prior row updates cancel from that query. In +particular, the complete query before each 13-division has no new odd +factor. A partial query can have one factor of 13 from the rows already +updated, but it is never divided before the query is complete. After the +division, the accumulator has at most one factor. Subtraction into x adds +no second factor. This proves the one-level bound for every prefix. + +There are 896 unit-coefficient complex ADDs, eight complex quarter scales, +16 complex CLEARs and eight complex divisions by 13. The old emitter's +invoice is 7,232 real primitives, with the 16 real divisions separate. +The exact symbolic replay checks all 113 input columns. It obtains maximum +row 1-norm 56 for the inverse and 143 for the forward word. Both words use +at most two new binary denominator bits. These are scalar-word bounds; +address maps and their coefficient-work prefixes are separate. + +At a legal common-frame cut, the scalar operation has no native rank. +For a routed J_t, use the previously reviewed exact phase alignment, +apply this word, then undo the alignment. A conservative count is four +monomial applications per port: 448 applications. This count keeps the +permutation and phase passes separate. The maps must be charged by the +73-axis monomial compiler. Their existence does not give access at a Y +endpoint outside the proved future-Y cone. + +## A fixed-divisor scan + +Fix p=3 or p=13. Use the inherited signed w-bit two's-complement +numerator, including its sign bit. No sign/magnitude conversion is used. +The grid proof below guarantees exact divisibility when division is called. + +Move to the least significant bit, then overwrite the bits from least to +most significant. Keep a carry c in {0,...,p-1}, initially zero. For input +bit b, write + +\[ +a=(b-c)\bmod2,\qquad c'=(c+pa-b)/2. +\] + +The parity choice makes c' an integer. If a=0, parity and c>=0 give +0<=c-b. If a=1, parity gives c<=p-2+b. These inequalities show +0<=c'

0,\quad 0<\epsilon<1. +\] +The exponents and comparison constants are fixed, and we impose their +further restrictions in Proposition~\ref{prop:simultaneous-layer}. +Two consequences explain the layout. The polynomial length $r$ grows +faster than every fixed power of $p$, so a scan of a record pays for +polynomial work on its address. Also $K/\log p\to\infty$, which will +make the exceptional set in a packed change of address bits small enough +to repair by sorting. We will obtain cost $O(Vd^{\lambda'})$, with +$\lambda'<1$ and $V$ the logical bit volume, whereas separate butterfly +factors would require $D$ whole-array passes. + +We first construct tensor products of the auxiliary two-point kernel +$C$ from Proposition~\ref{prop:complex-motif-interface}. Its phase +frames express a $C$ tensor product using smaller groups of +selected bits, separated by binary changes of basis. We implement those +changes by moving whole address chunks. Splitting complete rows among +the network's wire roles then reduces the volume of each recursive +call. Finally, we bound the intermediate dyadic values and convert the +completed $C$ layer to the normalized $H_0$ layer. The entire layer is +evaluated exactly before one final truncation. + +\subsection{Phase frames for a simultaneous butterfly layer} +\label{subsec:phase-frames} + +Hold the unselected address bits fixed and regard the stored complex +values on one wire role as a function of the selected bits. The phase +identities below express an edge's residual operator as a product of +two-point kernels on selected directions. + +Put +\[ + H_0=\frac12\begin{pmatrix}1&1\\1&-1\end{pmatrix},\qquad + H=\sqrt2 H_0,\qquad \mathsf S=\operatorname{diag}(1,i),\qquad + Z=\operatorname{diag}(1,-1). +\] +For the bit-flip matrix $X=\bigl(\begin{smallmatrix}0&1\\1&0\end{smallmatrix}\bigr)$, +define +\begin{equation}\label{eq:phase-C} + C=H\mathsf SH=aI+bX,\qquad a=\frac{1+i}{2},\quad b=\frac{1-i}{2}. +\end{equation} +Direct multiplication gives +\begin{equation}\label{eq:phase-basic-identities} + H_0=b\mathsf SC\mathsf S,\qquad C^2=X,\qquad C^4=I,\qquad + C^{-1}=bI+aX=-iZCZ. +\end{equation} +In particular, $C=iZC^{-1}Z$. These identities use only Gaussian dyadic +coefficients. The Hadamard matrices in the definition of +$\mathcal C_U$ are used to prove identities; they need not be executed +by the machine. + +Consider an edge from label $U_-$ to label $U_+$, and choose an +orthonormal basis $v_1,\ldots,v_{\rho_{\rm edge}}$ of its residual. +Proposition~\ref{prop:complex-motif-interface} gives the frame change +\[ + \mathcal C_{U_+}\mathcal C_{U_-}^{-1} + =\prod_{j=1}^{\rho_{\rm edge}}(aI+bX_{v_j})^{\epsilon_j}, + \qquad \epsilon_j\in\{1,-1\}. +\] +Here $(X_vf)(x)=f(x+v)$, and we write $C_v=aI+bX_v$. +The number of directional kernels is precisely +$\rho_{\rm edge}$, including on decreasing edges. The next step puts those directions +into coordinate positions without performing a general transpose. + +\paragraph{Implementing an arbitrary residual basis.} +For $M\in\operatorname{GL}(m,\mathbb F_2)$, let $\mathcal P_M$ be the +address permutation that moves the value at $x$ to $Mx$. Thus +$(\mathcal P_Mf)(x)=f(M^{-1}x)$, and +\begin{equation}\label{eq:phase-conjugation} + \mathcal P_MX_v\mathcal P_M^{-1}=X_{Mv}. +\end{equation} +Extend $v_1,\ldots,v_{\rho_{\rm edge}}$ to a basis of $\mathbb F_2^m$ and take these vectors as +the first $\rho_{\rm edge}$ columns of $M$. The displayed edge identity +then becomes +\begin{equation}\label{eq:phase-edge-coordinate} + \mathcal C_{U_+}\mathcal C_{U_-}^{-1} + =\mathcal P_M\left(\prod_{j=1}^{\rho_{\rm edge}}C_{e_j}^{\epsilon_j}\right) + \mathcal P_M^{-1}, +\end{equation} +where $e_j$ is the $j$th standard basis vector. The matrix $M$ need not +preserve the dot product: equation~\eqref{eq:phase-conjugation} only +uses its invertibility. + +For the array layout used below, take a group of $e=mf$ consecutive +axis chunks and divide it into $m$ consecutive slots of $f$ chunks, +numbered in physical order. +Number the chunks within each slot by $j=0,\ldots,f-1$, starting at +its least significant end. Write $x_{h,j}$ for the selected bit in +chunk $j$ of slot $h$, where $1\le h\le m$. Column $j$ is the vector +$(x_{1,j},\ldots,x_{m,j})$. A frame on this group is the tensor +product of the same phase frame +$\mathcal C_U$ of Proposition~\ref{prop:complex-motif-interface} +on these $f$ columns. + +To implement \eqref{eq:phase-edge-coordinate} on the group, first apply +$\mathcal P_M^{-1}$ separately to each column. For each +$1\le h\le\rho_{\rm edge}$, apply $(C^{\epsilon_h})^{\otimes f}$ to the +$f$ bits $x_{h,0},\ldots,x_{h,f-1}$. This is one child operation +on the $f$ axes in slot $h$. Finally apply $\mathcal P_M$ to every +column. A negative directional kernel still requires only one +forward child, because +\begin{equation}\label{eq:phase-inverse-child} + (C^{-1})^{\otimes f} + =(-i)^f Z^{\otimes f}C^{\otimes f}Z^{\otimes f}. +\end{equation} +The rightmost phase is applied first. All inverse wrappers are address +signs and constant fourth-root phases, so they add no recursive calls. + +Gaussian elimination expresses any $M\in\operatorname{GL}(m,\mathbb F_2)$ +as a product of at most $m(m-1)+3m$ elementary row additions: one clears +at most $m-1$ other entries per pivot, and each row swap is three row +additions. Reversing the elimination gives the required product since +each row addition is an involution. The number is a constant because +$m$ is fixed. Adding row $h'$ to row $h$ in every column applies +$x_{h,j}\leftarrow x_{h,j}\mathbin\oplus x_{h',j}$ for every +$0\le j1$, these segments +are disjoint, and the highest one ends immediately below $j_{f-1}$. +Write their initial values in $y$ and $z$ as +\[ + u_i=2g_i+a_i,\qquad w_i=2h_i+b_i, + \qquad a_i,b_i\in\{0,1\}. +\] +The values $g_i,h_i\in\{0,\ldots,2^{K-1}-1\}$ are the guard values. The +control for this pair of segments is the selected bit $c_i=x_{j_i}$. + +Apply each line of \eqref{eq:eight-packed-additions} simultaneously to all +these segment pairs. Physically, a line updating $y$ by sign $\varepsilon$ +and testing parity $b$ of $z$ is the single cyclic shift +\begin{equation} +\label{eq:packed-cyclic-shift} + y\longleftarrow y+ + \varepsilon\sum_{i=0}^{f-2}2^{j_i} + [\,x_{j_i}=1\,][\,z_{j_i}=b\,] + \pmod{2^L}. +\end{equation} +For a line updating $z$, interchange $y$ and $z$ in this formula. +The shift offset never depends on its target chunk, so each line is a +bijection of the rectangle. Let $S_0$ be their composition. It fixes +the spectator coordinates. + +Let $\mathcal B$ consist of the addresses for which +at least one used guard value, in either $y$ or $z$, fails +\begin{equation} +\label{eq:packed-guard-interval} + 10\le g\le 2^{K-1}-11. +\end{equation} +At an address outside $\mathcal B$, each segment initially lies in +$[20,2^K-21]$. Even displacement eight keeps it inside +$[0,2^K-1]$. Inductively, each packed addition therefore agrees with all +the independent segment additions: no segment carries into or borrows +from the next segment. When $f>1$, the bits below $j_0$ and above the +highest used segment are untouched as well. By +\eqref{eq:eight-packed-result}, $S_0$ +then agrees with the ideal permutation $T_0$ that performs the required +XORs at $j_0,\ldots,j_{f-2}$ and fixes all other address coordinates. + +There are exactly twenty excluded values for each guard in +\eqref{eq:packed-guard-interval}. Since its complete range has +$2^{K-1}$ values, the union bound over the $2(f-1)$ guards gives +\begin{equation} +\label{eq:packed-bad-fraction} + |\mathcal B|\le\delta_{\rm bad}M. +\end{equation} +Indeed, the complete $y,z$ ranges give the same guard distribution at +each choice of spectator coordinates. No record value enters this count. + +The ideal map $T_0$ preserves all guard values and therefore preserves +$\mathcal B$. Both $T_0$ and $S_0$ are bijections, and they agree off +$\mathcal B$. Taking complements in the finite rectangle gives +\[ + S_0(\mathcal B^c)=T_0(\mathcal B^c)=\mathcal B^c, + \qquad S_0(\mathcal B)=\mathcal B. +\] +Thus $T_0S_0^{-1}$ fixes $\mathcal B^c$ and permutes $\mathcal B$. +It remains to implement the rotations and this correction on tapes. + +For one rotation, move its target to the rightmost of the three chunk +positions if necessary. Let $P^{\rm sw}$ be the product of the record +field lengths before the earlier exchanged chunk, let $G^{\rm sw}$ +be the product between the exchanged chunks, and let $B^{\rm sw}$ be +$R$ times the product after the later one. Empty products are one. +The bit array has exactly the shape +\[ + [P^{\rm sw}]\times[2^L]\times[G^{\rm sw}] + \times[2^L]\times[B^{\rm sw}]. +\] +The third chunk lies inside one collapsed spectator interval. +Pass only $L$ and these three positive canonical lengths to +Lemma~\ref{lem:chunk-swap}. Each length is at most $V$, so the local +descriptor has $O(A_{\rm rect})$ bits. The swap costs $O(VL^\tau)$, including +its own padding and cleanup. + +The equal chunk lengths leave the field-length list unchanged by a +completed swap. Keep the permutation of the logical names $x,y,z$ in +finite local state. With the target now after its two controls, collapse +the remaining intervals to obtain +\[ + [\Lambda_0]\times[2^L]_{\rm control\,1}\times[\Lambda_1] + \times[2^L]_{\rm control\,2}\times[\Lambda_2] + \times[2^L]_{\rm target}\times[B_{\rm rot}], +\] +where $B_{\rm rot}$ includes the payload and every displayed spectator +length is positive. Their product with the chunk lengths is $V$. +Together with $K,f,\rho$ and the finite name permutation, these fixed +canonical lengths form an $O(A_{\rm rect})$-bit local descriptor. The offset +routine receives the two current $L$-bit logical control values. A scan +of at most $f\le L$ selected positions evaluates +\eqref{eq:packed-cyclic-shift} in $L^{O(1)}$ time, without reading the +target or spectator values. Lemma~\ref{lem:ordered-affine-streams} +therefore gives an $O(V)$ rotation: its offset work is absorbed by the +$2^L$ nonempty target blocks in each fiber. Undo the swap after the +rotation. The local descriptors and name permutation are updated at +completed swap boundaries; the primitives use their own descriptors +inside padded layouts. +There are at most sixteen swaps and eight rotations in $S_0$. + +To implement the correction, scan the stream with a record-rank counter. +All chunk names are back in their original positions. Dividing the +current rank through the fixed seven field lengths recovers the three +chunk values and their mixed-radix record strides. The strides exclude +the $R$ payload bits. All involved integers have $O(A_{\rm rect})$ bits, so +schoolbook arithmetic, descriptor copying, and resets take at most +$O(A_{\rm rect}^3)$ per record. Test membership in $\mathcal B$ and extract just +those records. For a current exceptional address $q$, compute +$q'=T_0(S_0^{-1}(q))$ by reversing the eight modular additions with +negated offsets, then applying the selected XORs directly. Each reversed +mask uses the current controls of that reversed line. There are at most +$f\le L\le A_{\rm rect}$ selected positions, so this calculation also fits +$O(A_{\rm rect}^3)$ time. + +If $q_h,q'_h$ are the current and destination values of chunk +$h\in\{x,y,z\}$ and $\sigma_h$ is its record stride, the fixed +spectator coordinates give +\[ + \operatorname{rank}(q')=\operatorname{rank}(q)+ + \sum_{h\in\{x,y,z\}}(q'_h-q_h)\sigma_h. +\] +The differences are signed. Attach this destination rank, padded to +$\lceil\log_2M\rceil\le A_{\rm rect}$ bits, to the extracted record, and mark its +hole on a fixed track of the full stream. Hold the full stream untouched +while stable binary radix sorting scans only the extracted records and +keys, least significant key bit first. Since $T_0S_0^{-1}$ permutes +$\mathcal B$, these keys are distinct and are exactly the ranks of the +marked holes. One forward full-stream scan reinserts the sorted records. +This implements $T_0$ everywhere. + +Finally apply the two-bit XOR to $x_{j_{f-1}},y_{j_{f-1}}$ by +Lemma~\ref{lem:elementary-streams}, splitting those chunks at the +selected positions and collapsing the other intervals. Its descriptor +again has a fixed number of positive lengths, each at most $V$. +This costs $O(V)$ and supplies the omitted selected position. When +$f=1$, $S_0,T_0$ are identities, $\mathcal B$ is empty, and this last +step is the entire algorithm. + +The movement costs $O(V(L^\tau+1))$. A fixed number of full record scans +costs $O(MA_{\rm rect}^3+V)$, and the at most $A_{\rm rect}$ radix passes cost +$O(|\mathcal B|A_{\rm rect}(R+A_{\rm rect}))$; skip them when the extracted bank is empty. +The initial descriptor has a fixed number of canonical integers of +$O(A_{\rm rect})$ bits, so its preparation is covered by $O(MA_{\rm rect}^3)$. +All counters, positioning, rewinds, and cleanup are included. +Equation~\eqref{eq:packed-bad-fraction} proves +\eqref{eq:packed-rectangle-time} on a fixed number of tapes. +After division by $V=MR$, its additional terms are bounded by +$A_{\rm rect}^3/R$ and +$80(f-1)2^{-K}A_{\rm rect}(1+A_{\rm rect}/R)$. Under the stated family bounds +the first tends to zero, and the second is +$O(p^2 2^{-K}(1+A_{\rm rect}/R))=o(1)$. This proves the final assertion. +\end{proof} + +\paragraph{Application to a fixed binary change of basis.} +An invertible matrix over $\mathbb F_2$ of fixed order $m\ge3$ is a +product of a fixed number of elementary row additions; a row exchange +is three such additions. In one invocation of the finite network on +$e=mf$ axes, slot $h$ consists of $f$ consecutive $K$-bit axis chunks. +It therefore has address-bit width $L=fK$, and its selected bits +$x_{h,j}$ occupy positions $\rho+jK$ for $0\le j1$. +For these fixed choices +there are a cutoff $p_0$, one fixed finite-alphabet multitape procedure, +and an implicit time constant with the following guarantee. The cutoff +and time constant may depend on the fixed rational parameters +and these constants. For every choice of positive integers $p,d,r$ +with $p\ge p_0$ and +\[ + a_dp^\epsilon\le d\le b_dp^\epsilon,\qquad + 2^{a_rp/d}\le r\le 2^{b_rp/d}, +\] +put $K=\lfloor d^c\rfloor$, and let $1\le D\le d$, $P,S\ge1$, and +$0\le\rho> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + if gate[0] == 'P': + return tuple(mul(gate[1], x) for x in range(512)) + require(gate[0] == 'D', 'state action type') + quadratic, linear = gate[1:] + return tuple((sum(linear[i] for i in range(9) if x >> i & 1) + + 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(9) if x >> i & 1)) % 4 for x in range(512)) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value = [(0, 0)] * 512 + value[basis] = (1, 0) + denominator = 0 + for gate in circuit: + tag = gate[0] + if tag == 'P': + moved = [(0, 0)] * 512 + for source, target in enumerate(action(gate)): + moved[target] = value[source] + value = moved + elif tag == 'X': + value = [value[x ^ gate[1]] for x in range(512)] + elif tag == 'D': + value = [rotate(pair, p) for pair, p in zip(value, action(gate))] + elif tag == 'phase': + value = [rotate(pair, gate[1]) for pair in value] + elif tag == 'C': + direction, sign = gate[1:] + moved = [] + for x, (a, b) in enumerate(value): + c, d = value[x ^ direction] + moved.append((a-sign*b+c+sign*d, b+sign*a+d-sign*c)) + value = moved + denominator += 1 + else: + raise ValueError('state gate type') + while denominator and all((a | b) % 2 == 0 for a, b in value): + value = [(a//2, b//2) for a, b in value] + denominator -= 1 + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ': Pauli action') + require(state(actual) == state(expected), label + ': global phase') + + +def scalar_cost(gate): + if gate[0] in ('copy', 'clear'): + return 1 + value = Fraction(*gate[-2:]) + numerator, denominator = abs(value.numerator), value.denominator + require(numerator > 0 and denominator & (denominator-1) == 0, 'nonzero dyadic scalar') + if gate[0] == 'scale': + require(numerator & (numerator-1) == 0, 'dyadic scale unit') + return abs(numerator.bit_length()-denominator.bit_length()) + (value < 0) + require(gate[0] == 'add', 'scalar type') + return 3 + numerator.bit_length()-1 + numerator.bit_count() + denominator.bit_length()-1 + + +def main(args): + start = time.monotonic() + data = load(args.repo) + word = data['CANONICAL-WORD.json.gz'] + old = data['LOCAL-PROGRAMS.json.gz'] + phase = data['CLIFFORD-RECIPES.json'] + residual = data['RESIDUAL-ADAPTERS.json']['recipes'] + changed_raw = gzip.decompress(args.changed.read_bytes()) + require(sha256(changed_raw).hexdigest() == 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877', 'changed payload pin') + changed = json.loads(changed_raw) + require(set(changed) == {'forward', 'backward'}, 'orientation inventory') + native = lambda events: [e for e in events if e[0] in ('climb', 'adapter', 'residual_adapter')] + invoices = {} + for name, events in changed.items(): + require(native(events) == native(old[name]), 'persistent native stream') + require(all(e[0] in ('scalar', 'phase', 'climb', 'adapter', 'residual_adapter') for e in events), 'event grammar') + first = events.index(['phase', 'centre_dirty_correction']) + last = events.index(['phase', 'A']) + prefix = [e[1] for e in events[first+1:last]] + require(all(e[0] == 'scalar' and e[2] == 0 for e in events[first+1:last]), 'correction frame') + scalars = [e[1] for e in events if e[0] == 'scalar'] + paid = Counter(e[5] for e in events if e[0] == 'climb') + invoices[name] = { + 'events': len(events), 'scalar_macros': len(scalars), + 'real_component_primitive_bound': 2*sum(map(scalar_cost, scalars)), + 'prefix_macros': dict(Counter(e[0] for e in prefix)), + 'prefix_real_component_primitive_bound': 2*sum(map(scalar_cost, prefix)), + 'paid_profile': dict(sorted(paid.items())), + 'paid_rank_sum': sum(rank*count for rank, count in paid.items()), + 'persistent_native_events': len(native(events)), + } + used = {(e[3], e[4]) for e in changed['forward'] if e[0] == 'climb'} + children = {(r['old'], r['new']): r for r in phase['children']} + require(len(children) == len(phase['children']) and used <= set(children), 'child recipe binding') + frames = [frame(tuple(vectors), 9) for vectors in word['frames']] + for i, (a, b) in enumerate(sorted(used)): + record = children[a, b] + require(record['rank'] == len(word['frames'][b])-len(word['frames'][a]), 'paid frame difference') + equal(recipe(record), adjoint(frames[a])+frames[b], 'child '+str((a, b))) + if i % 500 == 0: + print('phase edges', i, '/', len(used), flush=True) + endpoints = {(r['role'], r['port']): r for r in phase['endpoint_adapters']} + require(set(endpoints) == {(role, p) for role in ('source', 'target') for p in range(112)}, 'endpoint coverage') + for (role, port), record in endpoints.items(): + q = word['ports'][port] + conventional = (('C', q, 1),) if role == 'source' else (('C', q, -1),)+fourier(9) + expected_frame = word['start'][port] if role == 'source' else word['final'][112+port] + require(record['frame'] == expected_frame and record['rank'] == 0, 'endpoint frame binding') + equal(recipe(record), adjoint(conventional)+frames[expected_frame], 'endpoint '+str((role, port))) + used_residual = set() + for event in changed['forward']: + if event[0] == 'residual_adapter': + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry)+':'+str(terminal) + require(key in residual and position in ('pre', 'post'), 'residual binding') + require(entry == word['start'][register] and terminal == word['final'][register], 'residual boundary') + used_residual.add(key) + for key in sorted(used_residual): + record = residual[key] + entry = record['frame'] + terminal = record.get('terminal', 1) + equal(recipe(record), adjoint(frames[entry])+frames[terminal], 'residual '+key) + probe = next(r for r in children.values() if r['left']['phase'] != 0 or r['right'] and r['right']['phase'] != 0) + correct = recipe(probe) + corrupt = tuple(gate for gate in correct if gate[0] != 'phase') + if state(corrupt) == state(correct): + corrupt = correct+(('phase', 1),) + require(tableau(corrupt) == tableau(correct) and state(corrupt) != state(correct), 'global phase negative control') + require(state(corrupt, 1) != state(correct, 1), 'phase control second input') + report = { + 'status': 'PASS_INDEPENDENT_NATIVE_FRAME_LIFT_AND_FINITE_LOCAL_BILL', + 'base': BASE, 'archive_sha256': ARCHIVE_HASH, 'member_sha256': PINS, + 'changed_payload_sha256': sha256(changed_raw).hexdigest(), + 'checked_unique_persistent_edges': len(used), 'checked_endpoint_adapters': len(endpoints), + 'checked_residual_recipes': len(used_residual), 'finite_local_invoice': invoices, + 'exact_operator_method': 'Pauli conjugation and exact Gaussian dyadic zero state; no compiler import', + 'negative_controls': ['wrong global phase with the same Pauli action, on basis inputs 0 and 1'], + 'all_tensor_powers': 'Base operators are exactly equal, so their tensor powers are equal for every positive integer. The common frame conjugation proof gives the full array map.', + 'not_claimed': ['global chart or owner admission', 'recursive supplier admission', 'new kappa', 'fresh all-size compiler proof'], + 'seconds': time.monotonic()-start, 'max_rss_bytes': resource.getrusage(resource.RUSAGE_SELF).ru_maxrss, + } + args.out.write_text(json.dumps(report, indent=2, sort_keys=True)+'\n') + print(report['status'], flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser() + parser.add_argument('--repo', type=Path, required=True) + parser.add_argument('--changed', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + main(parser.parse_args()) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-FIVE-MINOR-PROGRAM.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-FIVE-MINOR-PROGRAM.json.gz new file mode 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"dyadic_borrowed_unit": false, + "k": 2, + "modular_nullity_channels": 8, + "odd_prime": 11, + "ordinary_fields": 96, + "selected_fields": 16, + "swap_scalar": 416 + }, + { + "centre_eigenvalue": -10, + "dyadic_borrowed_unit": false, + "k": 3, + "modular_nullity_channels": 8, + "odd_prime": 5, + "ordinary_fields": 88, + "selected_fields": 24, + "swap_scalar": 624 + }, + { + "centre_eigenvalue": -9, + "dyadic_borrowed_unit": false, + "k": 4, + "modular_nullity_channels": 8, + "odd_prime": 3, + "ordinary_fields": 80, + "selected_fields": 32, + "swap_scalar": 832 + }, + { + "H_inverse_scalar": 7744, + "H_scalar": 7744, + "centre_eigenvalue": -8, + "dyadic_borrowed_unit": true, + "k": 5, + "ordinary_fields": 72, + "selected_fields": 40, + "swap_scalar": 1040 + }, + { + "centre_eigenvalue": -7, + "dyadic_borrowed_unit": false, + "k": 6, + "modular_nullity_channels": 8, + "odd_prime": 7, + "ordinary_fields": 64, + "selected_fields": 48, + "swap_scalar": 1248 + }, + { + "centre_eigenvalue": -6, + "dyadic_borrowed_unit": false, + "k": 7, + "modular_nullity_channels": 8, + "odd_prime": 3, + "ordinary_fields": 56, + "selected_fields": 56, + "swap_scalar": 1456 + }, + { + "centre_eigenvalue": -5, + "dyadic_borrowed_unit": false, + "k": 8, + "modular_nullity_channels": 8, + "odd_prime": 5, + "ordinary_fields": 48, + "selected_fields": 64, + "swap_scalar": 1664 + }, + { + "H_inverse_scalar": 3888, + "H_scalar": 3888, + "centre_eigenvalue": -4, + "dyadic_borrowed_unit": true, + "k": 9, + "ordinary_fields": 40, + "selected_fields": 72, + "swap_scalar": 1872 + }, + { + "centre_eigenvalue": -3, + "dyadic_borrowed_unit": false, + "k": 10, + "modular_nullity_channels": 8, + "odd_prime": 3, + "ordinary_fields": 32, + "selected_fields": 80, + "swap_scalar": 2080 + }, + { + "H_inverse_scalar": 1952, + "H_scalar": 1952, + "centre_eigenvalue": -2, + "dyadic_borrowed_unit": true, + "k": 11, + "ordinary_fields": 24, + "selected_fields": 88, + "swap_scalar": 2288 + }, + { + "H_inverse_scalar": 976, + "H_scalar": 976, + "centre_eigenvalue": -1, + "dyadic_borrowed_unit": true, + "k": 12, + "ordinary_fields": 16, + "selected_fields": 96, + "swap_scalar": 2496 + }, + { + "centre_eigenvalue": 0, + "dyadic_borrowed_unit": false, + "k": 13, + "ordinary_fields": 8, + "rational_nullity_channels": 8, + "selected_fields": 104, + "swap_scalar": 2704 + }, + { + "centre_eigenvalue": 1, + "dyadic_borrowed_unit": true, + "k": 14, + "ordinary_fields": 0, + "selected_fields": 112, + "swap_scalar": 2912 + } + ], + "checker_sha256": "afe2fe38e8f0e629d49b87bae654430bcebcf2ca3ccc9e6e00e67a57d5a03978", + "controls": { + "omit_H_inverse": true, + "omit_upper": true, + "wrong_selected_count": true + }, + "five_minor_scalar_parts": { + "H_inverse": 7744, + "core": 202138, + "fused_post": 9344, + "fused_upper_increment": 1600, + "optional_upper": 14400, + "raw_exchange": 1040 + }, + "inherited_logical_helpers": 480, + "minors": [ + [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + [ + 21, + 37, + 47, + 76, + 81, + 87, + 92, + 110 + ], + [ + 1, + 6, + 22, + 28, + 33, + 49, + 58, + 109 + ], + [ + 2, + 9, + 14, + 19, + 88, + 95, + 101, + 106 + ], + [ + 3, + 8, + 15, + 18, + 89, + 94, + 102, + 105 + ], + [ + 4, + 11, + 12, + 17, + 90, + 97, + 99, + 104 + ], + [ + 5, + 10, + 13, + 16, + 91, + 96, + 100, + 103 + ], + [ + 23, + 30, + 60, + 75, + 82, + 85, + 98, + 108 + ], + [ + 24, + 34, + 50, + 74, + 83, + 86, + 93, + 107 + ], + [ + 25, + 35, + 41, + 48, + 52, + 59, + 61, + 84 + ], + [ + 26, + 38, + 43, + 53, + 54, + 68, + 71, + 79 + ], + [ + 29, + 32, + 40, + 45, + 55, + 66, + 73, + 80 + ], + [ + 31, + 39, + 42, + 63, + 64, + 67, + 72, + 78 + ], + [ + 44, + 51, + 56, + 62, + 65, + 69, + 70, + 77 + ] + ], + "native_mass": 5522, + "open": [ + "Independent review", + "Global controller and final decoder", + "Actual owner phases and complete recursive invoice" + ], + "owned_private_zero": 8, + "payload_sha256": "10ec46ba44ed7bf7deeec98333c03e358b777898cb6642091e758afabd6e8a3d", + "raw_local_variants_checked": 14, + "scope": "Actual minor partition, literal local raw swaps and core, exact dyadic scalar normal forms, and odd-prime channel obstruction. Full physical core proof is inherited.", + "source_pins": { + "core": "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", + "interface": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "uniform": "17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + "status": "PASS_RAW_MINOR_SUBSET_UNITS", + "utility_sha256": "ed9b91708d16226a51fb0f76e3b0c9392553cc316da7c24b9cc1fe21759d6bc0" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-MINOR-SUBSETS.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-MINOR-SUBSETS.md new file mode 100644 index 0000000000..f338941f16 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/RAW-MINOR-SUBSETS.md @@ -0,0 +1,268 @@ +# Raw selected subsets with a dyadic borrowed block + +## Result and scope + +The raw physical selected swap extends from one eight-port centre minor to +any selected subset S. The borrowed-input block of the resulting completed +X bank is a unit if and only if an explicit eight-dimensional matrix is a +unit. This criterion applies to the actual clean-J backward local. + +For a union of k complete orthogonal centre minors, the criterion is that +`k-13` is a nonzero signed power of two. Among `1 <= k <= 14`, the admitted +values are 5, 9, 11, 12, and 14. The first admitted case uses forty selected +ports. It needs no new native child. Each selected Y field contains its +original selected X input in the full frame. + +A scalar circuit on completed X makes the five-minor borrowed block exactly +`diag(Q_S^-1,-I_U)`. The circuit uses no scratch array and no native child. +This removes the odd-prime obstruction of the one-minor raw local. It does +not prove a complete global controller or a free final decoder. In +particular, an inverse Q on borrowed selected data is an operator, not a +free scalar coefficient. + +Five is minimal among unions of complete eight-port minors. No claim of +minimum cardinality among arbitrary selected subsets is made. + +## General subset theorem + +Use the exact matrices of the centre-free core: + +```text +J = I - K R, +K = R^T/4, +R K = 14 I_8. +``` + +Let S be any subset of the 112 ports, and let U be its complement. Set + +```text +H_U = I_U - K_U R_U, +T_S = I_8 - R_U K_U = R_S K_S - 13 I_8. +``` + +All coefficient rings below contain the dyadic rationals. They can also +contain the exact native array operators. The two matrices H_U and T_S +are units at the same time. Their inverses then satisfy + +```text +H_U^-1 = I_U + K_U T_S^-1 R_U, +T_S^-1 = I_8 + R_U H_U^-1 K_U. +``` + +Expand both products to verify these identities. For example, +`(I-KR)(I+K(I-RK)^-1R)=I`. The products are ordered. No Q operator is moved +through K or R. + +Write input data as `x=(a,u)` and `y=(b,v)`. The physical input fields are +`X_p=Q_p x_p` and `Y_p=y_p`. The core output fields are `X_p=F x'_p` and +`Y_p=F Q_p^-1 y'_p`. Swap physical X and Y at each p in S, then run the +unchanged clean-J backward core. The exact logical map is + +```text +X_S = Q_S^-1 b - (I_S-K_S R_S) Q_S a + K_S R_U v, +X_U = u + K_U R_S Q_S a - H_U v, +Y_S = Q_S a, +Y_U = v. +``` + +To prove the map, the physical swap gives logical input +`x_pre=(Q_S^-1 b,u)` and `y_pre=(Q_S a,v)`. Substitute these values into +`X=x_pre-J y_pre`, `Y=y_pre`. + +The native Q operators and F are linear combinations of the same spatial +translations. Thus they commute. The physical selected output is +`F Q_S^-1 Q_S a=F a`. This is the original selected input in the full +frame. + +The map from borrowed y to completed X is + +```text +M_S = [ Q_S^-1 K_S R_U ] + [ 0 -H_U ]. +``` + +The diagonal Q block is a unit. An upper block elimination therefore +reduces M_S to `diag(Q_S^-1,-H_U)`. Thus M_S is a unit if and only if T_S +is a unit. This is an operator-ring statement. It does not need a +commutative determinant for the Q blocks. + +For the finite array realization, H_U is a scalar matrix tensored with the +identity on each spatial array. A failed scalar rank condition therefore +means missing array channels, not just a single scalar coefficient. + +## Complete-minor classification + +A complete minor A has eight ports and `R_A K_A=I_8`. The checker gives a +partition of the actual 112 ports into fourteen such minors. Its first five +minors are the five used by the prior protected five-minor logger. + +If S is a union of k minors, then + +```text +R_U K_U = (14-k) I_8, +T_S = (k-13) I_8, +H_U^-1 = I_U + K_U R_U/(k-13). +``` + +For k below 14, U contains a complete minor. Thus K_U is injective and R_U +is surjective over the dyadic coefficient ring and over every field of odd +characteristic. The centre image has eigenvalue `k-13` under H_U. The +kernel of R_U has eigenvalue one. + +| k | k-13 | Result over dyadic coefficients | +|---:|---:|---| +| 1 | -12 | Fails modulo 3 | +| 2 | -11 | Fails modulo 11 | +| 3 | -10 | Fails modulo 5 | +| 4 | -9 | Fails modulo 3 | +| 5 | -8 | Unit | +| 6 | -7 | Fails modulo 7 | +| 7 | -6 | Fails modulo 3 | +| 8 | -5 | Fails modulo 5 | +| 9 | -4 | Unit | +| 10 | -3 | Fails modulo 3 | +| 11 | -2 | Unit | +| 12 | -1 | Unit | +| 13 | 0 | Singular over the rationals | +| 14 | 1 | U is empty; unit | + +If an odd prime divides k-13, the eight columns of K_U are independent +kernel channels modulo that prime. Conversely, `H_U w=0` implies +`w=K_U R_U w`. The kernel is contained in the image of K_U. Its exact +nullity is therefore eight array channels. Each Q remains a unit modulo +an odd prime: its exact Gaussian dyadic kernel and its inverse reduce to +mutual inverses. For primes without a square root of minus one, use the +quadratic field extension. + +This proves a restriction on the stated raw local and on controllers that +must invert this borrowed block. It does not exclude a controller that +reads additional ordinary Y information, changes its borrowed encoding, +or uses a different local map. + +## A circuit for H and its inverse + +Suppose U contains a complete pivot minor A, and put W=U minus A. Define + +```text +L = K_A R_W, +M = K_W R_A, +d = k-13. +``` + +For a union of k selected minors, `L M = -d I_8`. Let +`T(a,w)=(a+Lw,w)`. Direct multiplication gives + +```text +H_U = T^-1 [ d I_8 0 ] T. + [ -M I_W] +``` + +The following operations implement H_U: + +```text +a += L w +w -= M a +a *= d +a -= L w. +``` + +The inverse circuit is + +```text +a += L w +a *= 1/d +w += M a +a -= L w. +``` + +For an admitted k, each SCALE is a signed power of two. All ADD +coefficients are dyadic. These are reversible operations on the actual +arrays. There is no zero-state assumption, private query record, or new +native call. The checker runs both inverse orders on every array column. + +For k=5, use the forty selected ports in the receipt and the retained pivot +minor `[4,11,12,17,90,97,99,104]`. Then d=-8. The inverse circuit has scalar +cost 7744 under the existing scalar invoice. + +## A diagonal borrowed block for five minors + +After the raw local, apply H_U^-1 to completed X_U. Then add +`K_S R_U X_U` to completed X_S. Put + +```text +c = R_S Q_S a + R_U u. +``` + +The result is + +```text +X_S = Q_S^-1 b - Q_S a - K_S c/8, +X_U = u - v - K_U c/8, +Y_S = Q_S a, +Y_U = v. +``` + +For example, `R_U H_U^-1 = -R_U/8`. Substitute this identity into the +selected upper map to obtain the displayed formula. All selected Q +operators remain next to their own inputs. + +The upper map can use the live pivot query in the inverse circuit. After +`a += Lw` and `a *= -1/8`, the pivot holds +`K_A R_U H_U^-1 original_X_U`. At that point, add `K_S R_A a` to X_S, then +finish the inverse circuit. The scatter has 160 nonzero ADDs and scalar +cost 1600. The fused completed-X circuit has scalar cost 9344. This +factorization was also derived in the new-core transfer lane. + +The old-core local invoice is: + +| Operation | Scalar cost | Added native mass | +|---|---:|---:| +| Retained clean core | 202138 | 5522 total | +| Forty physical swaps | 1040 | 0 | +| Fused completed-X map | 9344 | 0 | +| Complete local | 212522 | 0 beyond the core | + +The response of X to `z=(Q_S a,u)` is +`diag(-I_S,I_U)+K R/d`. Its eight-dimensional determinant factor is +`(1-k)/d`. At k=5 this is one half, so this response matrix is also a +dyadic unit. This observation concerns completed-X scalar algebra. It +does not make a mixed-frame input change free. + +## Exact check and remaining work + +Run: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/check_raw_minor_subsets.py +``` + +The final status is + +```text +PASS_RAW_MINOR_SUBSET_UNITS +``` + +The checker pins the clean core, interface, canonical word, and ordered +operator utility. It checks the fourteen actual minors, all fourteen raw +local variants on all 712 formal input columns, every selected physical +output, the exact scalar H factorizations and both inverse orders, the +odd-prime kernel witnesses, and both forms of the five-minor completed-X +map. It also checks three negative controls. + +All 480 logical helper values return under the inherited native endpoint +and wrapper contract. The eight owned private arrays return to zero. The +new boundaries do not touch any helper. The full physical core proof is +inherited; this is not a new unframed physical identity test on helper +arrays. + +The complete global controller, final decoding of Q-coded selected data, +actual owner views and phases, and the full recursive invoice remain open. +The result gives no new complete kappa value. It supplies a zero-new-native +local mechanism that removes the one-minor odd-prime restoration barrier. + +The first five minors and the source inverse use the protected five-minor +logger and controller work. The raw selected operator convention uses the +raw backward and forward locals in this lane. The coordinated campaign +identified the complete-minor escape and the fused pivot scatter. This +work was produced with AI assistance. Source pins and the literal packet +hash are in `RAW-MINOR-SUBSETS.json`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/check_raw_minor_subsets.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/check_raw_minor_subsets.py new file mode 100644 index 0000000000..5bd361b280 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/check_raw_minor_subsets.py @@ -0,0 +1,209 @@ +"""Check raw selected subsets and the dyadic borrowed block.""" + +from copy import deepcopy +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import json + +HERE = Path(__file__).resolve().parent +UTILITY = HERE / "emit_raw_selected_backward.py" +UTILITY_PIN = "ed9b91708d16226a51fb0f76e3b0c9392553cc316da7c24b9cc1fe21759d6bc0" +if sha256(UTILITY.read_bytes()).hexdigest() != UTILITY_PIN: + raise RuntimeError("Ordered operator utility pin") +spec = importlib.util.spec_from_file_location("raw_backward", UTILITY) +m = importlib.util.module_from_spec(spec) +spec.loader.exec_module(m) +need, plus, line = m.need, m.plus, m.line +MINORS = [ + [0, 7, 20, 27, 36, 46, 57, 111], + [21, 37, 47, 76, 81, 87, 92, 110], + [1, 6, 22, 28, 33, 49, 58, 109], + [2, 9, 14, 19, 88, 95, 101, 106], + [3, 8, 15, 18, 89, 94, 102, 105], + [4, 11, 12, 17, 90, 97, 99, 104], + [5, 10, 13, 16, 91, 96, 100, 103], + [23, 30, 60, 75, 82, 85, 98, 108], + [24, 34, 50, 74, 83, 86, 93, 107], + [25, 35, 41, 48, 52, 59, 61, 84], + [26, 38, 43, 53, 54, 68, 71, 79], + [29, 32, 40, 45, 55, 66, 73, 80], + [31, 39, 42, 63, 64, 67, 72, 78], + [44, 51, 56, 62, 65, 69, 70, 77], +] +need(sorted(p for minor in MINORS for p in minor) == list(range(112)), "The fourteen minors partition all ports") +core = m.read(m.LANES / "circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", m.PINS["core"], True)["backward"] +interface = m.read(m.LANES / "circuit-interface/INTERFACE.json", m.PINS["interface"]) +word_raw = (m.REPO / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz").read_bytes() +need(sha256(word_raw).hexdigest() == m.PINS["word"], "Canonical word pin") +word = json.loads(gzip.decompress(word_raw)) +R = [[F(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]] +K = [[R[i][p] / 4 for i in range(8)] for p in range(112)] +KR = [[sum(K[p][i] * R[i][q] for i in range(8)) for q in range(112)] for p in range(112)] +J = [[F(p == q) - KR[p][q] for q in range(112)] for p in range(112)] +for minor in MINORS: + need(all(sum(R[i][p] * K[p][j] for p in minor) == (i == j) for i in range(8) for j in range(8)), "Each minor has R_A K_A=I") +identity = [{(p, ()): F(1)} for p in range(712)] + + +def exchange(selected): + out = [] + for p in selected: + out += [m.raw_scalar("add", p, 112 + p, 1), m.raw_scalar("add", 112 + p, p, -1), + m.raw_scalar("add", p, 112 + p, 1), m.raw_scalar("scale", 112 + p, coefficient=-1)] + return out + + +def replay(selected, tail=()): + physical = deepcopy(identity) + for p in range(112): + physical[p] = line(physical[p], p, 1) + physical = m.boundary(exchange(selected), physical) + logical = deepcopy(physical) + for p in range(112): + logical[p] = line(logical[p], p, -1) + logical = m.core_replay(core, logical, word) + logical = m.boundary(tail, logical) + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = line(physical[112 + p], p, -1) + return logical, physical + + +def target(selected): + selected = set(selected) + px = [line(identity[112 + p], p, -1) if p in selected else identity[p] for p in range(112)] + py = [line(identity[p], p, 1) if p in selected else identity[112 + p] for p in range(112)] + out = deepcopy(identity) + out[704:] = [{} for _ in range(8)] + for p in range(112): + out[p] = dict(px[p]) + for q in range(112): + if J[p][q]: + plus(out[p], py[q], -J[p][q]) + out[112 + p] = dict(py[p]) + return out + + +def h_tape(k, inverse): + need(k < 14, "A nonempty complement") + d = F(k - 13) + need(d and abs(d.numerator) & (abs(d.numerator) - 1) == 0, "A dyadic unit eigenvalue") + selected = set(p for minor in MINORS[:k] for p in minor) + pivot = MINORS[k] + rest = [p for p in range(112) if p not in selected and p not in pivot] + upper = [m.raw_scalar("add", a, w, KR[a][w]) for a in pivot for w in rest if KR[a][w]] + lower = [m.raw_scalar("add", w, a, KR[w][a] if inverse else -KR[w][a]) + for w in rest for a in pivot if KR[w][a]] + scales = [m.raw_scalar("scale", a, coefficient=1 / d if inverse else d) for a in pivot] + unupper = [m.raw_scalar("add", a, w, -KR[a][w]) for a in pivot for w in rest if KR[a][w]] + return upper + (scales + lower if inverse else lower + scales) + unupper + + +def h_apply(row, ordinary): + out = deepcopy(row) + for p in ordinary: + for q in ordinary: + if KR[p][q]: + plus(out[p], row[q], -KR[p][q]) + return out + + +cases = [] +for k in range(1, 15): + selected = sorted(p for minor in MINORS[:k] for p in minor) + ordinary = sorted(set(range(112)) - set(selected)) + mu, d = 14 - k, k - 13 + need(all(sum(R[i][p] * K[p][j] for p in ordinary) == mu * (i == j) for i in range(8) for j in range(8)), "Complement centre Gram") + actual, physical = replay(selected) + need(actual == target(selected), "All 712 columns of the raw subset map") + need(all(physical[112 + p] == identity[p] for p in selected), "Each selected Y holds physical F original X") + need(actual[224:704] == identity[224:704] and actual[704:] == [{}] * 8, "Inherited helper values and private zero") + unit = bool(d) and abs(d) & (abs(d) - 1) == 0 + row = dict(k=k, selected_fields=len(selected), ordinary_fields=len(ordinary), centre_eigenvalue=d, + dyadic_borrowed_unit=unit, swap_scalar=m.scalar_price(exchange(selected))) + if unit and k < 14: + forward, inverse = h_tape(k, False), h_tape(k, True) + h_actual = m.boundary(forward, identity) + need(h_actual == h_apply(identity, ordinary), "No-scratch scalar H factorization") + need(m.boundary(inverse, h_actual) == identity, "H inverse after H") + need(m.boundary(forward, m.boundary(inverse, identity)) == identity, "H after H inverse") + need(F(1, d) - 1 - F(mu, d) == 0, "Woodbury coefficient identity") + row.update(H_scalar=m.scalar_price(forward), H_inverse_scalar=m.scalar_price(inverse)) + elif k == 14: + need(not ordinary, "The empty complement is a unit") + elif not d: + need(all(J[p][q] == 0 for p in ordinary for q in ordinary), "The thirteenth complement block is zero") + row["rational_nullity_channels"] = 8 + else: + prime = next(p for p in (3, 5, 7, 11, 13) if d % p == 0) + def mod(c): + return c.numerator * pow(c.denominator, -1, prime) % prime + need(all(sum(mod(J[p][q]) * mod(K[q][j]) for q in ordinary) % prime == 0 + for p in ordinary for j in range(8)), "Eight exact odd-prime kernel channels") + row.update(odd_prime=prime, modular_nullity_channels=8) + cases.append(row) + print("checked k=" + str(k), flush=True) +need([c["k"] for c in cases if c["dyadic_borrowed_unit"]] == [5, 9, 11, 12, 14], "Exact admitted k values") + +k = 5 +selected = sorted(p for minor in MINORS[:k] for p in minor) +ordinary = sorted(set(range(112)) - set(selected)) +normal = h_tape(k, True) +upper = [m.raw_scalar("add", p, q, KR[p][q]) for p in selected for q in ordinary if KR[p][q]] +actual, physical = replay(selected, normal + upper) +centre = [] +for i in range(8): + row = {} + for p in range(112): + source = line(identity[p], p, 1) if p in selected else identity[p] + plus(row, source, R[i][p]) + centre.append(row) +expected = deepcopy(identity) +expected[704:] = [{} for _ in range(8)] +for p in range(112): + if p in selected: + expected[p] = line(identity[112 + p], p, -1) + plus(expected[p], line(identity[p], p, 1), -1) + expected[112 + p] = line(identity[p], p, 1) + else: + expected[p] = dict(identity[p]) + plus(expected[p], identity[112 + p], -1) + for i in range(8): + plus(expected[p], centre[i], -K[p][i] / 8) +need(actual == expected, "Five-minor diagonal borrowed block on every operator column") +need(all(physical[112 + p] == identity[p] for p in selected), "Forty physical selected outputs remain productive") +pivot = MINORS[5] +rest = [p for p in ordinary if p not in pivot] +cut = sum(bool(KR[a][w]) for a in pivot for w in rest) + len(pivot) +fused_scatter = [m.raw_scalar("add", p, a, KR[p][a]) for p in selected for a in pivot if KR[p][a]] +fused = normal[:cut] + fused_scatter + normal[cut:] +need(replay(selected, fused)[0] == expected, "The pivot query gives the same selected upper map") +controls = dict( + omit_H_inverse=replay(selected, upper)[0] != expected, + omit_upper=replay(selected, normal)[0] != expected, + wrong_selected_count=target(sorted(p for minor in MINORS[:4] for p in minor)) != target(selected), +) +need(all(controls.values()), "Negative controls") +payload = dict(schema="raw-five-minor-backward-v1", source_pins=m.PINS, selected=selected, + pivot=MINORS[5], raw_exchange=exchange(selected), retained_core=core, + full_XU_H_inverse=normal, optional_full_XS_upper=upper, + fused_diagonal_borrowed_post=fused, + minors=MINORS, added_native_lines=0) +encoded = json.dumps(payload, sort_keys=True, separators=(",", ":")).encode() +(HERE / "RAW-FIVE-MINOR-PROGRAM.json.gz").write_bytes(gzip.compress(encoded, mtime=0)) +scalar_parts = dict(core=202138, raw_exchange=m.scalar_price(exchange(selected)), + H_inverse=m.scalar_price(normal), optional_upper=m.scalar_price(upper), + fused_upper_increment=m.scalar_price(fused_scatter), fused_post=m.scalar_price(fused)) +receipt = dict(status="PASS_RAW_MINOR_SUBSET_UNITS", checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + utility_sha256=UTILITY_PIN, source_pins=m.PINS, minors=MINORS, cases=cases, + all_formal_columns_per_local=712, raw_local_variants_checked=14, + inherited_logical_helpers=480, owned_private_zero=8, payload_sha256=sha256(encoded).hexdigest(), + five_minor_scalar_parts=scalar_parts, native_mass=5522, added_native_lines=0, controls=controls, + scope="Actual minor partition, literal local raw swaps and core, exact dyadic scalar normal forms, and odd-prime channel obstruction. Full physical core proof is inherited.", + open=["Independent review", "Global controller and final decoder", "Actual owner phases and complete recursive invoice"]) +(HERE / "RAW-MINOR-SUBSETS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") +print(receipt["status"]) +print(json.dumps({"five_minor_scalar_parts":scalar_parts,"payload_sha256":receipt["payload_sha256"]},sort_keys=True)) diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/emit_raw_selected_backward.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/emit_raw_selected_backward.py new file mode 100644 index 0000000000..efef9d90a6 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/emit_raw_selected_backward.py @@ -0,0 +1,313 @@ +"""Check a raw selected exchange with explicit line operators.""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import gzip +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +REPO = LANES.parents[2] +A = [0, 7, 20, 27, 36, 46, 57, 111] +PINS = { + "core": "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "interface": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "uniform": "17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f", +} + + +def need(ok, message): + if not ok: + raise RuntimeError(message) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Source pin: " + str(path)) + return json.loads(raw) + + +def plus(dst, src, coefficient=F(1)): + for key, value in src.items(): + value = dst.get(key, F(0)) + coefficient * value + if value: + dst[key] = value + else: + dst.pop(key, None) + + +def line(row, port, power): + """Apply one ordered operator. Cancel only adjacent inverse pairs.""" + out = {} + for (source, word), value in row.items(): + if word and word[0] == (port, -power): + new = word[1:] + else: + new = ((port, power),) + word + plus(out, {(source, new): value}) + return out + + +def slot(wire): + need(wire[0] in ("L", "C"), "Core namespace") + return wire[1] + (704 if wire[0] == "C" else 0) + + +def core_replay(events, initial, word): + state = deepcopy(initial) + frames = word["start"][:] + [None] * 8 + for event in events: + kind = event[0] + if kind == "scalar": + gate, frame = event[1:] + op, dst = gate[0], slot(gate[1]) + if op == "clear": + need(dst >= 704, "Owned clear") + state[dst], frames[dst] = {}, frame + else: + need(frames[dst] == frame, "Core scalar target frame") + if op == "scale": + c = F(*gate[2:4]) + state[dst] = {key: c * value for key, value in state[dst].items() if c * value} + else: + need(op == "add", "Core ADD") + src = slot(gate[2]) + need(frames[src] == frame, "Core scalar source frame") + plus(state[dst], state[src], F(*gate[3:5])) + elif kind == "climb": + dst, old, new = event[2:5] + need(frames[dst] == old, "Core child input frame") + frames[dst] = new + else: + need(kind in ("phase", "adapter", "residual_adapter"), "Retained event") + need(frames == word["final"] + [0] * 8, "Retained core final frames") + return state + + +def boundary(events, state): + state = deepcopy(state) + for e in events: + kind, dst = e["kind"], e["target"] + if kind == "clear": + need(dst == 704, "Only C0 is cleared") + state[dst] = {} + elif kind == "copy": + need(dst == 704 and not state[dst], "Owned copy") + state[dst] = dict(state[e["source"]]) + elif kind == "line": + need(dst == 704 and e["port"] in A, "Serial selected line") + state[dst] = line(state[dst], e["port"], e["power"]) + elif kind == "add": + plus(state[dst], state[e["source"]], F(e["coefficient"])) + elif kind == "scale": + c = F(e["coefficient"]) + state[dst] = {k: c * v for k, v in state[dst].items() if c * v} + else: + raise RuntimeError("Unknown boundary event") + return state + + +def scalar_price(events): + total = 0 + for e in events: + if e["kind"] == "line": + continue + if e["kind"] in ("clear", "copy"): + total += 2 + continue + c = F(e["coefficient"]) + a, b = abs(c.numerator), c.denominator + need(b & (b - 1) == 0, "Dyadic coefficient") + if e["kind"] == "scale": + need(a & (a - 1) == 0, "Power-of-two scale") + total += 2 * (abs(a.bit_length() - b.bit_length()) + int(c < 0)) + else: + total += 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + return total + + +def raw_scalar(kind, target, source=None, coefficient=None): + out = dict(kind=kind, target=target) + if source is not None: + out["source"] = source + if coefficient is not None: + out["coefficient"] = str(coefficient) + return out + + +def bit_map(rows, x): + return sum(((r & x).bit_count() & 1) << j for j, r in enumerate(rows)) + + +def check_recipes(recipes, ports): + count = 0 + alpha, beta = (F(1, 2), F(1, 2)), (F(1, 2), F(-1, 2)) + for item in recipes: + p, inverse, recipe = item["port"], item["inverse"], item["recipe"] + need(p in A and recipe["rank"] == 1, "Selected rank-one recipe") + left, right = recipe["left"], recipe["right"] + for side in (left, right): + need(not side["phase"] and not any(side["linear_Z4"] + side["quadratic_rows"]), "Exact wrapper phases") + for x in range(512): + y = bit_map(right["matrix_rows"], x) ^ right["offset"] + actual = {bit_map(left["matrix_rows"], y) ^ left["offset"]: alpha, + bit_map(left["matrix_rows"], y ^ 1) ^ left["offset"]: beta} + expected = {x: beta if inverse else alpha, + x ^ ports[p]: alpha if inverse else beta} + need(actual == expected, "Signed native kernel") + count += 1 + need(count == 8192, "All signed line basis columns") + return count + + +def main(): + core = read(LANES / "circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", PINS["core"], True)["backward"] + word_raw = (REPO / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz").read_bytes() + need(sha256(word_raw).hexdigest() == PINS["word"], "Canonical word pin") + word = json.loads(gzip.decompress(word_raw)) + interface = read(LANES / "circuit-interface/INTERFACE.json", PINS["interface"]) + uniform = read(LANES / "paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIFORM-SIGNED-PROGRAMS.json.gz", PINS["uniform"], True) + R = [{int(p): F(c) for p, c in row.items()} for row in interface["R"]] + U = [p for p in range(112) if p not in A] + D = {p: {a: sum(row.get(p, 0) * row.get(a, 0) for row in R) / 4 for a in A} for p in U} + D = {p: {a: c for a, c in row.items() if c} for p, row in D.items()} + B = {a: {p: D[p][a] for p in U if a in D[p]} for a in A} + need(all(sum(B[a].get(p, 0) * D[p].get(b, 0) for p in U) == (13 if a == b else 0) for a in A for b in A), "BD=13I") + prefix = [] + for a in A: + prefix += [raw_scalar("clear", 704), raw_scalar("copy", 704, 112 + a), + dict(kind="line", target=704, port=a, power=-1)] + prefix += [raw_scalar("add", 112 + p, 704, -D[p][a]) for p in U if a in D[p]] + prefix += [raw_scalar("clear", 704)] + exchange = [] + for a in A: + exchange += [raw_scalar("add", a, 112 + a, 1), raw_scalar("add", 112 + a, a, -1), + raw_scalar("add", a, 112 + a, 1), raw_scalar("scale", 112 + a, coefficient=-1)] + post = [raw_scalar("add", p, a, -c) for p in U for a, c in sorted(D[p].items())] + correction = [] + for a in A: + correction += [raw_scalar("clear", 704), raw_scalar("copy", 704, 112 + a), + dict(kind="line", target=704, port=a, power=1)] + correction += [raw_scalar("add", p, 704, -D[p][a]) for p in U if a in D[p]] + correction += [raw_scalar("clear", 704)] + identity = [{(p, ()): F(1)} for p in range(712)] + + def evaluate(pre=prefix, swap=exchange, tail=post, fix=None): + physical = deepcopy(identity) + for p in range(112): + physical[p] = line(physical[p], p, 1) + physical = boundary(pre + swap, physical) + logical = deepcopy(physical) + for p in range(112): + logical[p] = line(logical[p], p, -1) + logical = core_replay(core, logical, word) + # The common full F operator is removed from all data for this boundary. + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = line(physical[112 + p], p, -1) + physical = boundary(tail + (fix or []), physical) + logical = deepcopy(physical) + for p in range(112): + logical[112 + p] = line(logical[112 + p], p, 1) + return logical, physical + + expected = deepcopy(identity) + expected[704:] = [{} for _ in range(8)] + for a in A: + expected[a] = line(identity[112 + a], a, -1) + expected[a] = {key: -12 * c for key, c in expected[a].items()} + for p, c in B[a].items(): + plus(expected[a], identity[112 + p], c) + expected[112 + a] = line(identity[a], a, 1) + for p in U: + expected[p] = dict(identity[p]); plus(expected[p], identity[112 + p], -1) + expected[112 + p] = dict(identity[112 + p]) + for a, c in D[p].items(): + plus(expected[p], line(identity[a], a, 1), c) + plus(expected[112 + p], line(identity[112 + a], a, -1), -c) + actual, physical = evaluate() + need(actual == expected, "All 712 noncommutative operator columns") + need(all(physical[112 + a] == identity[a] for a in A), "Physical selected Y=F original selected X") + need(actual[224:704] == identity[224:704] and actual[704:] == [{}] * 8, "Arbitrary helper and owned-private contract") + corrected = deepcopy(expected) + for p in U: + corrected[p] = dict(identity[p]); plus(corrected[p], identity[112 + p], -1) + actual_corrected, _ = evaluate(fix=correction) + need(actual_corrected == corrected, "Optional eight-line ordinary correction") + for a in A: + recovered = dict(expected[a]) + for p, c in B[a].items(): + plus(recovered, expected[112 + p], -c) + need(line(recovered, a, 1) == identity[112 + a], "Selected original Y inverse") + for p in U: + recovered = dict(expected[112 + p]) + for a, c in D[p].items(): + r = dict(expected[a]) + for q, b in B[a].items(): + plus(r, expected[112 + q], -b) + plus(recovered, r, c) + need(recovered == identity[112 + p], "Ordinary original Y inverse") + wrong_line = deepcopy(prefix) + for e in wrong_line: + if e["kind"] == "line": + e["power"] = 1 + controls = { + "omit_prefix": evaluate(pre=[])[0] != expected, + "wrong_inverse_line": evaluate(pre=wrong_line)[0] != expected, + "omit_physical_exchange": evaluate(swap=[])[0] != expected, + "omit_post_lower_shear": evaluate(tail=[])[0] != expected, + "omit_optional_correction": actual != corrected, + } + need(all(controls.values()), "Negative controls") + priced_core = [] + for e in core: + if e[0] != "scalar": + continue + g = e[1] + if g[0] == "clear": + priced_core.append(raw_scalar("clear", slot(g[1]))) + elif g[0] == "scale": + priced_core.append(raw_scalar("scale", slot(g[1]), coefficient=F(*g[2:4]))) + else: + need(g[0] == "add", "Priced core ADD") + priced_core.append(raw_scalar("add", slot(g[1]), slot(g[2]), F(*g[3:5]))) + base_scalar = scalar_price(priced_core) + need(base_scalar == 202138, "Independent core scalar invoice") + profile = Counter(e[5] for e in core if e[0] == "climb") + need(sum(k * v for k, v in profile.items()) == 5522, "Inherited native profile") + scalar = base_scalar + scalar_price(prefix + exchange + post) + scalar_corrected = scalar + scalar_price(correction) + columns = check_recipes(uniform["line_recipes"], word["ports"]) + payload = dict(schema="raw-selected-backward-local-v1", source_pins=PINS, selected=A, + prefix=prefix, physical_exchange=exchange, retained_core=core, + post_lower_shear=post, optional_ordinary_correction=correction, + line_recipes=uniform["line_recipes"], + boundary_rule="ADD uses common physical addresses. It does not equate the logical native frames.") + encoded = json.dumps(payload, sort_keys=True, separators=(",", ":")).encode() + (HERE / "RAW-SELECTED-BACKWARD-PROGRAM.json.gz").write_bytes(gzip.compress(encoded, mtime=0)) + receipt = dict(status="PASS_RAW_SELECTED_BACKWARD_LOCAL_OPERATOR", source_pins=PINS, + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + payload_sha256=sha256(encoded).hexdigest(), all_formal_input_columns=712, + arbitrary_helpers_restored=480, owned_private_zero=8, + exact_signed_line_columns=columns, D_nonzero_entries=sum(map(len, D.values())), + complete_scalar=scalar, native_mass=5530, added_native_rank_one=8, + complete_scalar_with_ordinary_correction=scalar_corrected, + native_mass_with_ordinary_correction=5538, + scalar_parts=dict(prefix=scalar_price(prefix), physical_exchange=scalar_price(exchange), + post_lower=scalar_price(post), optional_correction=scalar_price(correction)), + controls=controls, + scope="Literal local boundary operators, all retained logical core events, exact intrinsic line kernels, arbitrary helpers, and local invoice. The complete old native core phase proof is inherited.", + open=["Independent review", "Actual inter-call physical views and changed controller", "New child hosting", "Complete recursive scalar, storage, and precision invoice"]) + (HERE / "RAW-SELECTED-BACKWARD.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(receipt["status"]) + print(json.dumps({k: receipt[k] for k in ("complete_scalar", "native_mass", "complete_scalar_with_ordinary_correction", "native_mass_with_ordinary_correction", "exact_signed_line_columns")}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz new file mode 100644 index 0000000000..c6c54dc3bd Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json new file mode 100644 index 0000000000..95300b486d --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.json @@ -0,0 +1,4196 @@ +{ + "status": "PASS_PR3133_CLEAN_J_LOCAL_NATIVE_TRANSFER", + "providers": { + "base": { + "forward": { + "live_input_columns": 632, + "arbitrary_C_input_columns": 8, + "C0_exit": "zero", + "C1_to_C7_exit": "physical identity by non-use", + "zero_buffers_returned": 91, + "prefix_events": 832, + "events": 23388, + "native_profile": { + 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"a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "emitter_sha256": "00ac96cc9906acd0ccc2d1f492411acd7308df217cfc51ff7e233e85b05efcfa", + "scope": "Complete literal scalar/native-record transfer on both 632-live-input providers, plus all eight arbitrary C inputs. Native phase lowering is inherited by exact record equality from the pinned provider. No new physical phase sweep, T9 owner admission, recursive private hosting, precision guard or global moment calculation." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md new file mode 100644 index 0000000000..9d2274a342 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CLEAN-J-TRANSFER.md @@ -0,0 +1,119 @@ +# Clean centre deletion on the PR3133 words + +The two PR3133 words admit a clean centre deletion. Each changed local +word has 3507 children, rank mass 5073, and a scalar bound of 164514 real +primitives. The map is `(x,y,h) -> (x,y+Jx,h)` in the forward direction +and `(x,y,h) -> (x-Jy,y,h)` in the backward direction. Here `J=I-KR`, +`K=R^T/4`, and `RK=14I`. + +This is a local result. It does not establish a new controller, owner +allocation, private hosting bound, precision bound, or complete kappa +calculation. + +## Sources and credit + +The words are the exact `FINAL-WORD` payloads from +[PR3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133), at +commit `51eb9c4ee9e4722010d308aa3309e039d3940cc2`. The local source copy +comes from the byte-equal payloads in +[PR3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), at +commit `f2927a4b8afcf0701a6b945e14f30de1d94f5176`: + +- [Base word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/base.json.gz). +- [Extra word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/extra.json.gz). +- [PR3133 source and credit](https://github.com/CrocSwap/integer-mult-bounds/blob/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md). + +The word uses the PR2979 construction by Marius-Paul Dumitrean, the +declared edits from PR3015 by Jeremy Kothe, and the restore and carrier +edits from PR3042 and PR3133 by dcharb78. The source README gives the +earlier credit. The current calculation applies the prior campaign's +centre deletion and input debt correction. OpenAI Codex assisted this +calculation. It is not a maintainer review. + +## The cut changes + +There are 112 source fields, 112 target fields, and 408 arbitrary helper +fields. There are 91 separate private zero buffers. Each centre row is + + c = R x + H h. + +The new words have the same ports, R, and propagated response K as the +earlier campaign word. H changes. It has 367 nonzero coefficients on 106 +helper roles. Every one of these roles enters at frame I and leaves at +FULL. None is removed or has a proper terminal subspace. No formal warp +symbol occurs in a centre row or in the propagated centre response. + +`probe_cut.py` derives these rows from the actual A, cut, B, restore, and +cleanup gates. `INTERFACE.json` records the result. In particular, the +earlier H is not used as the new H. + +Deletion of the centre block gives + + F0(x,y,h) = (x, y + Jx - KHh, h), + B0(x,y,h) = (x - Jy, y, h + H^T R y/4). + +Use the following input corrections: + + before F0: y += K H h, + before B0: h -= H^T R y/4. + +All operands have frame I at this cut. For each query row, C0 is cleared, +the query is formed in C0, the response is added, and C0 is cleared again. +The query source remains unchanged in each direction. Thus the correction +is legal on every arbitrary helper input. It removes the complete helper +debt. It uses one serial owned field, not a new full-cover record family. + +## Full local check and invoice + +`emit_clean_j.py` emits and replays four complete words: both source +providers, in both directions. The replay uses exact rational arithmetic +over free warp symbols. It checks all 632 arbitrary live inputs and eight +arbitrary C inputs. It also checks every scalar frame, every native frame +transition, every zero-buffer lifetime, and every live endpoint frame. +All 408 helpers have the identity logical response. All 91 zero buffers +return to zero. C0 returns to zero; C1 through C7 retain their arbitrary +physical contents because no event touches them. + +| Item | Forward | Backward | +| --- | ---: | ---: | +| Source scalar bound | 158148 | 158196 | +| Deleted centre scalars | 2160 | 2208 | +| Input debt correction | 8526 | 8526 | +| Complete scalar bound | 164514 | 164514 | + +The deleted native block is exactly eight rank-eight centre children. +The retained child profile is +`{1:2433, 2:724, 3:228, 4:102, 5:20}`. Its rank mass is 5073. Each +complete word has 23388 events. All 5115 retained native records are +byte-equal to the source emitter's records: 3507 climbs, 240 warps, 978 +ordinary adapters, and 390 residual adapters. + +The helper width inventory is +`{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`. The result makes no reduction to +the source's reserved helper or private stock. The 91 Z buffers have the +source zero-input contract; they are not arbitrary borrowed inputs. + +## Native phase dependency + +The pinned PR2588 `bw_transport.py` and `bw_emit.py` were run on both new +source words. They accept the new frame chains and replay the source maps +on all live inputs. The changed program adds only frame-I scalar gates +and removes complete private centre paths. It retains every other native +record. Therefore it introduces no new native kernel or phase recipe. + +The source PR3133 `FULL-NATIVE-RECEIPT.json` records a full phase and +wrapper replay of these same input words. That receipt is source evidence. +A fresh full Gaussian sweep was not run in this lane. The independent +review must check the applicable native and residual-adapter dependency; +the scalar replay alone does not establish physical phase correctness. + +## Reproduction + +Run the following commands with one process, from this directory: + + python3 -I -B probe_cut.py + python3 -I -B emit_clean_j.py + +The emitter reads the source-derived files in `native-original-base` and +`native-original-extra`. `FREEZE-CLEAN-J.json` records exact source and +output pins. No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CUT-PROBE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CUT-PROBE.json new file mode 100644 index 0000000000..95df0c7544 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/CUT-PROBE.json @@ -0,0 +1,4724 @@ +{ + "base": { + "payload_sha256": "49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e", + "ports_equal": true, + "R_equal": true, + "H_equal": false, + "K_equal_R_transpose_over_4": true, + "center_R": [ + { + "0": "1", + "92": "1", + "87": "1", + "7": "1", + "76": "1", + "57": "1", + "81": "1", + "27": "1", + "70": "1", + "63": "1", + "90": "1", + "10": "1", + "71": "1", + "62": "1", + "11": "1", + "91": "1", + "72": "1", + "61": "1", + "25": 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"ports_equal_previous": true, + "source_cut_sha256": { + "base": "49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e", + "extra": "34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731" + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-NATIVE.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-NATIVE.md new file mode 100644 index 0000000000..f2c077ff3a --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-NATIVE.md @@ -0,0 +1,191 @@ +# The irregular 38-port split on both native providers + +The exact irregular 38-port witness now has complete native backward +and forward words. They add no recursive children or private fields. +Both the ordinary borrowed-state block and the normalized original-X +response are dyadic units. The response inverse also has an explicit +scalar word at the completed FULL-X boundary. + +This moves the witness beyond a matrix test. It does not give a complete +inter-call decoder or a new supplier bound. The selected interface has +two fewer fields than the complete-minor construction. Its local scalar +bill is slightly higher. + +## Source and matrices + +The selected set S is + + 1,3,4,17,18,19,20,23,24,26,27,29,35,36,38,39,40,42,45, + 60,63,66,69,74,75,77,78,84,86,88,97,99,104,105,107,108,109,111. + +Let U be the other 74 ports. Use the actual R, K=R^T/4, and J=I-KR +from the new clean-J core. Define + + D=R_S K_S, T=D-13I, H=I_U-K_U R_U, W=I-D. + +The independent witness receipt gives both inverses T^-1 and W^-1. The +emitter reads that pinned receipt, recomputes the selected Gram matrix +from the native core's R, checks both T inverse orders, and checks the +explicit factor + + L=I+(E_02+E_03+E_14+E_15)/4, + T^-1=-L^-T L^-1/8. + +The finite matrix identities imply + + H^-1=I_U+K_U T^-1 R_U. + +They do not assume that the ordinary query rows are orthogonal. + +## The eight current queries + +The inverse word clears existing C0 through C7 in the current FULL +frame. It forms all eight current queries R_U x_U before it changes any +data field. It then applies L^-1 and L^-T to those eight query fields: + + C0-=C2/4; C0-=C3/4; C1-=C4/4; C1-=C5/4; + C2-=C0/4; C3-=C0/4; C4-=C1/4; C5-=C1/4. + +It divides every C field by 32, scatters the negative R_U^T columns +back to ordinary X, and clears all eight C fields at I. This is H^-1. +Scattering to the full R^T columns instead also gives the upper change +`X_S += K_S R_U H^-1 X_U`. The same finite query code is used in both +variants. + +For H at the input-I boundary, form all eight R_U y_U queries first, +divide each by 4, scatter negative R_U^T, and clear. These are current +queries within one boundary operation. No saved source or old query is +used after a data change. + +Each query field is owned, and each can contain arbitrary data on entry. +The initial CLEARs remove that data. The borrowed helpers are not used by +these factors. Eight existing fields are live at once. No new record +cohort or private buffer is allocated. + +| Factor | Real scalar primitives | +| --- | ---: | +| H on ordinary input Y | 4800 | +| H^-1 on ordinary output X | 4944 | +| H^-1 with selected upper change | 6160 | + +The query and ordinary scatter each have 296 unit ADDs. The full scatter +has 448. The inverse has eight additional quarter-unit ADDs. All scales +and ADD coefficients are dyadic. Every operand has the same physical +frame, either I or FULL. + +## Complete local words + +The balanced backward word exchanges selected physical X and Y, runs +the complete clean-J backward core, and applies H^-1 to ordinary FULL X. +It has the map + + X_S' = q b-J_SS Q a-J_SU v, + X_U' = H^-1 u-v-H^-1 J_US Q a, + Y_S' = Q a, + Y_U' = v. + +Here x=(a,u), y=(b,v), Q is the diagonal positive selected line operator, +and q=Q^-1. The physical input and output conventions are those in +`RAW-SELECTED-TRANSFER.md`. No Q is commuted through a dense matrix. + +Use the full scatter to obtain the diagonal-borrowed word. Put +c=R_S Q a+R_U u. Its map is + + X_S' = q b-Q a+K_S T^-1 c, + X_U' = u-v+K_U T^-1 c, + Y_S' = Q a, + Y_U' = v. + +Physical selected Y is F a in both variants. The original selected X +information is therefore carried by productive outputs. + +The forward word applies H to ordinary Y at I, exchanges selected +physical X and Y, runs the complete clean-J forward core, and repeats +the exchange at output. Its map is + + X_S' = a+q J_SS q b+q J_SU u, + X_U' = u, + Y_S' = b, + Y_U' = H(u+v)+J_US q b. + +| Word | Real scalar primitives | Native rank mass | Native children | +| --- | ---: | ---: | ---: | +| Balanced backward | 170446 | 5073 | 3507 | +| Diagonal-borrowed backward | 171662 | 5073 | 3507 | +| Balanced forward | 171290 | 5073 | 3507 | + +Each row includes the full 164514-scalar clean-J core, every physical +exchange, every query operation, and all owned preparation and cleanup. +No extra cleanup of C1 through C7 is needed: the factors already clear +all eight C fields, and the core preserves their zero values. The native +profile is `{1:2433,2:724,3:228,4:102,5:20}` in every row. + +## Explicit response inverse at FULL X + +Set E=diag(-I_S,I_U). The diagonal-borrowed original-X response and its +inverse are + + A=E+K T^-1 R, + A^-1=E-E K W^-1 R E. + +To apply A^-1, first apply the selected E signs to X. Form all eight +full R queries in C0 through C7. Apply the following finite matrix to +the queries: + + C0+=C2/2; C0+=C3/2; C1+=C4/2; C1+=C5/2; + C0/=4; C1/=4; C2/=16; C3/=16; C4/=16; C5/=16; + C6/=16; C7/=16; + C2+=C0/2; C3+=C0/2; C4+=C1/2; C5+=C1/2. + +This finite map is -W^-1/4. Scatter E R^T times the query vector and +clear all eight owned fields at I. The complete cost is 7412 scalar +primitives. It has no native children. + +A has a similar word: form all R queries, apply the L inverse factors, +divide by 32, scatter negative E R^T, clear, and apply selected E signs. +Its complete cost is 7452. Both words preserve all other live inputs. +Their two literal composition orders give identity on all live data. + +The inverse can follow the diagonal-borrowed backward word at the common +FULL-X boundary. The resulting scalar bill is 179074 and the rank mass +stays 5073. This follows by composition of the two checked words; it is +not a separate whole-core replay. The original-X coefficient becomes the +explicit input code diag(Q_S,I_U). Its inter-call use is still open. + +## Checks and scope + +`emit_irregular_38.py` replays all six complete native words on both +providers. It checks all 640 arbitrary input columns, all 408 helpers, +the 91 private zero buffers, and all eight owned outputs. It retains and +checks every native scalar frame, native transition, warp, and private +buffer lifetime. All helpers restore, all zero buffers return to zero, +and every owned field ends at zero in frame I. + +`emit_irregular_38_unit.py` checks both response maps and both literal +inverse orders on all 640 input columns in the actual provider endpoint +frames. The source phase review, with separate literal dual warp tables, +is inherited unchanged. Independent review of these new words remains +required. + +Run with one process: + + python3 -I -B emit_irregular_38.py + python3 -I -B emit_irregular_38_unit.py + +This is an actual native application of the irregular two-unit witness. +It does not prove that 38 selected ports are minimal. It does not price +the inter-call decoder, selected phases in other views, owner histories, +private hosting, full recursive precision, or the complete supplier. + +## Sources and credit + +The native core and prior raw exchange credit are in +`CLEAN-J-TRANSFER.md`, `RAW-SELECTED-TRANSFER.md`, and +`BALANCED-FIVE-MINORS.md`. The budget-geometry and dyadic-subset-search +lanes found and proved the irregular subset. The coordinating lane +checked both full inverse identities separately in +`root/IRREGULAR-SPLIT-20261017.md`. Its witness receipt has SHA256 +`0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f`. +This lane emitted the finite query transforms and complete native words, +priced them, and placed the response unit at FULL X. OpenAI Codex assisted +the research and checks. No PR, push, or publication commit was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-PROGRAMS.json.gz new file mode 100644 index 0000000000..d7b2e31a21 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-RECEIPT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-RECEIPT.json new file mode 100644 index 0000000000..5b5b8eb64e --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/IRREGULAR-38-RECEIPT.json @@ -0,0 +1,154 @@ +{ + "status": "PASS_PR3133_IRREGULAR_38_NATIVE_WORDS", + "selected_ports": 38, + "ordinary_ports": 74, + "existing_owned_query_peak": 8, + "new_private_fields": 0, + "new_native_children": 0, + "factor_scalar_costs": { + "H": 4800, + "H_inverse": 4944, + "fused_inverse": 6160 + }, + "providers": { + "base": { + "balanced_backward": { + "scalar_real_primitives": 170446, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "diagonal_backward": { + "scalar_real_primitives": 171662, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "balanced_forward": { + "scalar_real_primitives": 171290, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + } + }, + "extra": { + "balanced_backward": { + "scalar_real_primitives": 170446, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "diagonal_backward": { + "scalar_real_primitives": 171662, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "balanced_forward": { + "scalar_real_primitives": 171290, + "native_rank_mass": 5073, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "owned_query_peak": 8, + "new_native_children": 0, + "new_private_fields": 0, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + } + } + }, + "payload_sha256": "bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801", + "checker_sha256": "fdaade6ce45cd40cc0ca1b4574e3b7f6b906e34dcaff1271fea91889dc632c50", + "source_pins": { + "core": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "raw_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "serial_utility": "7399a1d153197faae5f44f04e0ae3675a6c961d343329419c0c71bdc263bb9d6", + "witness": "0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f" + }, + "scope": "Six complete local dyadic words. 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+ "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_native_children": 0, + "new_private_fields": 0, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "balanced_forward": { + "scalar_real_primitives": 171266, + "additional_real_divide_by_3_scans": 0, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_native_children": 0, + "new_private_fields": 0, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + } + }, + "extra": { + "balanced_backward": { + "scalar_real_primitives": 170274, + "additional_real_divide_by_3_scans": 0, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_native_children": 0, + "new_private_fields": 0, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "diagonal_backward": { + "scalar_real_primitives": 171554, + "additional_real_divide_by_3_scans": 0, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_native_children": 0, + "new_private_fields": 0, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + }, + "balanced_forward": { + "scalar_real_primitives": 171266, + "additional_real_divide_by_3_scans": 0, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "native_children": 3507, + "new_native_children": 0, + "new_private_fields": 0, + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "private_zero_buffers_restored": 91, + "owned_private_final_zero": 8, + "core_scalar_frame_checks": 18080, + "core_warp_events": 240 + } + } + } + }, + "payload_sha256": "a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e", + "checker_sha256": "7399a1d153197faae5f44f04e0ae3675a6c961d343329419c0c71bdc263bb9d6", + "source_pins": { + "core": "a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa", + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "five_minor_words": "a16521b290c39468fa491e1da10e5d5ffe6869226563a02ac8146a4feaca0afe" + }, + "scope": "Twelve complete native words. Odd division is recorded separately, with no invented old-primitive cost. The exact odd-grid implementation, global controller, precision, hosting and supplier bill remain separate." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-BALANCED-WORDS.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-BALANCED-WORDS.md new file mode 100644 index 0000000000..0414e38f1c --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-BALANCED-WORDS.md @@ -0,0 +1,146 @@ +# Serial row factors on the complete native words + +An existing owned C0 field gives cheaper balanced local words. The +forty-field family needs 171554 scalar primitives for the backward word +with diagonal borrowed response, and 171266 for its forward companion. +Both retain rank mass 5073 and add no recursive child or private field. +The original forty-field pivot words remain frozen as a separate +construction that does not need C0 at this boundary. + +The eight-field family also has exact balanced local words if exact +division by three is admitted. Its backward words have sixteen real +division scans in addition to their old scalar bill. These scans are +listed separately; they are not counted as free dyadic operations. + +## Scalar construction + +Select one or five complete eight-port minors from +`BALANCED-FIVE-MINORS.md`. Let S be the selected set and U its complement. +Use the actual R, K=R^T/4, J=I-KR, and H=J_UU. Then + + R_U R_U^T = 4 lambda I, + H = I-R_U^T R_U/4, + H^-1 = I-R_U^T R_U/[4(lambda-1)]. + +For one minor, lambda=13 and each ordinary row has 52 signed unit +entries. For five minors, lambda=9 and each ordinary row has 36 signed +unit entries. Every full R row has 56 signed unit entries. + +For each ordinary row r_j, form r_j u in C0. For H, divide this query by +4 and subtract r_j^T C0 from ordinary data. For H^-1, divide by +4(lambda-1), then use the same scatter. For the fused upper variant, +scatter the inverse query to the full R row, including selected data. +This also applies x_S += K_S R_U H^-1 x_U. + +Different row updates do not change later row queries: their cross Gram +entries are zero. The selected scatter does not affect any query because +the queries read only U. Thus no saved query or restored source is +assumed. C0 is cleared once at the start and after each row, for nine +CLEARs total. It stays in the common frame between rows. Its last CLEAR +sets frame I. No borrowed field is cleared. + +For five minors, the inverse divisor is 32. For one minor, it is 48: +the literal word divides by 16 and then performs exact division by 3. +Each complex division by 3 is two real scans. Positive query SCALEs and +negative ADDs avoid unnecessary negative SCALE cost. + +| Factor | Eight selected fields | Forty selected fields | +| --- | ---: | ---: | +| H | 6706 | 4658 | +| H^-1 | 6738 + 16 division scans | 4706 | +| H^-1 with selected upper | 6994 + 16 division scans | 5986 | + +The numbers are real scalar primitives, except the separately stated +division scans. Each factor uses existing C0 and zero new native children. + +## Complete native integration + +The backward words exchange selected physical X and Y, run the complete +new clean-J backward core, and apply the selected inverse factor to FULL +X. The forward word applies H to ordinary Y at I, exchanges selected +physical X and Y, runs the complete forward core, and exchanges selected +physical X and Y at exit. + +The maps are the balanced equations in `BALANCED-FIVE-MINORS.md`, with +8 replaced by lambda-1 in the inverse coefficient. In particular, with +q=Q_S^-1 and c=R_S Q_S a+R_U u, the fused backward map is + + X_S' = q b-Q_S a-K_S c/(lambda-1), + X_U' = u-v-K_U c/(lambda-1), + Y_S' = Q_S a, + Y_U' = v. + +The forward map is + + X_S' = a+q J_SS q b+q J_SU u, + X_U' = u, + Y_S' = b, + Y_U' = H(u+v)+J_US q b. + +No Q is commuted through a dense matrix. Physical selected Y after +backward execution is F a. The original selected X information is in +productive output fields. + +| Selected fields | Word | Old real scalar primitives | Additional real /3 scans | +| ---: | --- | ---: | ---: | +| 8 | Balanced backward | 171474 | 16 | +| 8 | Diagonal-borrowed backward | 171730 | 16 | +| 8 | Balanced forward | 171650 | 0 | +| 40 | Balanced backward | 170274 | 0 | +| 40 | Diagonal-borrowed backward | 171554 | 0 | +| 40 | Balanced forward | 171266 | 0 | + +Every row has native profile `{1:2433,2:724,3:228,4:102,5:20}`, rank mass +5073, and 3507 children. Every row includes the full clean-J core, all +physical exchanges and factor operations, C0 preparation and restoration, +and the final 14-scalar cleanup of C1 through C7. No private field is +added. The eight-field and forty-field interfaces have different global +obligations; these local bills alone do not select a supplier. + +The forty-field X response remains the dyadic unit from the earlier +proof. The eight-field X response still has an eight-dimensional kernel. +Division by three removes its ordinary-block restriction, not that +kernel. The complete data map remains invertible because selected Y +retains selected X. + +## Verification and source comparison + +`emit_serial_balanced.py` replays twelve complete native words: three +variants for two selected sets on both providers. It checks all 640 +arbitrary input columns, including 408 arbitrary helpers and eight owned +fields. All helpers restore; all eight owned fields and all 91 private +zero buffers return to zero. Every source scalar frame, native frame +transition, warp order, and buffer lifetime is checked. All added factor +operands are checked in the actual common I or FULL boundary frame. + +The exact replay treats an odd scan as division by 3 over the rational +coefficient field. The implementation and grid-height theorem for that +scan are a separate dependency in the independent review lane. This +packet does not replace that obligation with a favorable hypothetical +price. Complete recursive precision and scan cost remain separate. + +The scalar factors were emitted independently from the actual R. +`compare_serial_sources.py` matches all forty-field events to the frozen +bridge-access scaled-row packet after the C0 role change. It also matches +the eight-field events to the independent review packet after seven +adjacent zero-CLEAR pairs are merged and actual endpoint frames are set. +The comparison receipt pins both sources. Both provider instances match. + +Run with one process: + + python3 -I -B emit_serial_balanced.py + python3 -I -B compare_serial_sources.py + +The new source-core phase dependency is already independently reviewed, +including separate literal dual warp recipes. Independent review of this +integrated extension remains required. Inter-call views and operator +codes, exterior phase, owner hosting, recursive precision, and the full +supplier bill remain open. + +Source credit for the native core and prior mechanisms is in +`CLEAN-J-TRANSFER.md` and `BALANCED-FIVE-MINORS.md`. The bridge-access lane +and independent review lane derived the serial scalar factors. The +bridge-access lane also reduced the CLEAR count. This lane emitted the +same factors from R, bound them to the actual native endpoints, and +checked the complete words. OpenAI Codex assisted the work. No PR, push, or publication commit +was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-SOURCE-COMPARISON.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-SOURCE-COMPARISON.json new file mode 100644 index 0000000000..26c10fcd74 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/SERIAL-SOURCE-COMPARISON.json @@ -0,0 +1,31 @@ +{ + "status": "PASS_INDEPENDENT_SERIAL_FACTOR_SOURCE_MATCH", + "source_pins": { + "integrated": "a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e", + "five_minor_source": "f5c9a49201d3900d3760804b4801b06df21ae100ae62e7b6e0ced283f4f4fc56", + "one_minor_source": "525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9" + }, + "matches": { + "balanced_forward": { + "five_minor_events": 593, + "one_minor_events": 849, + "both_provider_matches": true + }, + "balanced_backward": { + "five_minor_events": 593, + "one_minor_events": 857, + "both_provider_matches": true + }, + "diagonal_backward": { + "five_minor_events": 753, + "one_minor_events": 889, + "both_provider_matches": true + } + }, + "checker_sha256": "89eb239c7e94123df9ba3dbdc721483f2179316874375eae2356d3608589725b", + "changes": [ + "Rename old C0 roles to 632.", + "Remove seven adjacent duplicate owned CLEARs in the one-minor source.", + "Bind each one-minor factor to its common input-I or output-FULL frame; final C0 is I." + ] +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json new file mode 100644 index 0000000000..1fbea607cb --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json @@ -0,0 +1,15 @@ +{ + "artifacts": { + "HANDOFF.md": "a3824c5970ec2e5a5da0d9e0ee85398303fc924bc647385a82d673f03e1a3a50", + "REDUCED-INTERFACES.md": "864f9f27a4045329da7cd23bd31b5b36df6471b00da196f6e279af2261d81dfc", + "emit_reduced_interfaces.py": "c9f7e909bb96d1356d169186e3c60cd2a9551b095ae55b97c589e2d10182a35b", + "run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz": "79c87c0fd5ae50bdce435a5bbbc9cc289d9eac8d8f97d3fc08557876d10a2c1c", + "run-normal/REDUCED-INTERFACES-RECEIPT.json": "9f8a7a5429807e953a3abde041ab1a805600544b75228adc566b35a8ab601d4a", + "run-optimized/REDUCED-INTERFACES-PROGRAMS.json.gz": "79c87c0fd5ae50bdce435a5bbbc9cc289d9eac8d8f97d3fc08557876d10a2c1c", + "run-optimized/REDUCED-INTERFACES-RECEIPT.json": "9f8a7a5429807e953a3abde041ab1a805600544b75228adc566b35a8ab601d4a" + }, + "payload_decompressed_sha256": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "schema": "reduced-native-selected-interfaces-freeze-v1", + "scope": "Local physical interfaces and exact full-map normalization reduction. Independent review is separate. No complete supplier or kappa claim.", + "validation": "Normal and python -O payloads and receipts are byte-identical. All 18 complete words pass both provider maps, all 640 ordered inputs, helper and private restoration, owned zero outputs, frames and costs." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md new file mode 100644 index 0000000000..64a8cdd010 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/HANDOFF.md @@ -0,0 +1,39 @@ +# Reduced physical interfaces: continuation + +The producer checks pass in normal Python and `python -O`. The two +payloads and receipts are byte-identical. `FREEZE.json` pins this packet. +Do not change the frozen files. Use a new output directory for a replay. + +The signed eight-port source gives balanced B and F at 91,264 and 91,472 +real scalar primitives. The short normalized B costs 89,200. Its full +operator equals the longer 99,472-primitive word. The 24-port short +normalized B costs 89,592 and equals its earlier 96,012-primitive word. +All words have native rank mass 5,073 and 3,507 children. They add no +native child. Both providers pass all 640 ordered input columns, helper +restoration, private-buffer returns, owned-field restoration, and frame +checks. The proof states the complete borrowed-source terms. + +The key reduction is valid whenever the selected principal block L has +an implemented inverse. Apply `-L^-1` on the completed selected X fields, +then add D times these changed fields to ordinary X. This is the inverse +of the raw backward original-X coefficient. It does not require H +inverse. The complete equality with the longer path holds on arbitrary +borrowed data, not only on the original-X columns. + +The source and the previous 24-port physical transfer are pinned in the +checker. The previous transfer has a separate independent review at +`new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json`, +SHA-256 `fade8160a807a2687a007a67dec3f21cfe4ebcc1840130c6650e4e2acbc6fa3b`. +Independent review of this reduced packet is pending at freeze time. + +The next local test is an eight-port positive-Q suffix after balanced F. +It must use the current completed fields, retain exact native wrappers, +and price the new children. No old-source access or clean selected-Y +assumption is allowed. Keep this extension separate from this freeze. + +Routed-stage transport, exterior phase, child hosting, recursive +precision, and the complete supplier invoice remain open. There is no +complete kappa claim. The user has forbidden a PR until explicit +approval. Do not create a PR, commit, or push. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md new file mode 100644 index 0000000000..d658525b81 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/REDUCED-INTERFACES.md @@ -0,0 +1,269 @@ +# Eight-port physical interfaces and a shorter exact normalization + +The new signed response admits a complete physical interface with only +eight selected ports. Its balanced backward and forward words cost +91,264 and 91,472 real scalar primitives. An additional normalized +backward word costs 89,200. It has exactly the same complete map as the +99,472-primitive path that first makes the borrowed-source block +diagonal and then applies the full data inverse. Both paths are emitted +and replayed on arbitrary data and workspace. + +All these words retain native rank mass 5,073 and 3,507 native children. +They add no native child, private field, or owned-field operation. The +short backward normalization needs only a selected eight-port inverse +and a scalar lower shear on the completed X bank. + +The same reduction applies to the preceding 24-port construction. A +coherent selected-query word gives its exact normalized map at 89,592, +instead of 96,012. The preceding frozen words remain valid at their +original bills. + +This is a local result. It does not complete routed-stage code transport +or the supplier recurrence, and it makes no complete kappa claim. + +## Exact source and required interface + +The signed source is +`controller-followthrough-20261017/bipartite-eight-20261018/FREEZE.json`, +with SHA-256 +`c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1`. +Its native payload has decompressed SHA-256 +`0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee`. +It selects + +`S=[0,7,15,36,42,46,79,89]`. + +The other 104 ports form U. Of these, 40 are in the centre block and 64 +are in the negative Hadamard block. Write the actual symmetric response +as + +```text +J = [L B] + [D H]. +``` + +The source proves that L and the 40-port ordinary block are dyadic units, +both with determinant `1/16`. The other 64-port block has a dyadic +inverse. Thus H is a dyadic unit on all 104 ordinary ports. The full +48-port response has determinant `5^8`; its dyadic inverse is not +required by this construction. + +The source forward and backward cores implement `(x,y+Jx)` and +`(x-Jy,y)`. Each costs 87,360 scalar primitives. Their actual native +records equal the retained provider records. The canonical words equal +the words in the preceding physical transfer, so its native phase bridge +and orientation-specific literal-dual recipes apply without a change. + +Use the same physical endpoint convention as the preceding transfer: +input `X=diag(Q_p)x`, `Y=y`; completed output, after removal of the common +FULL frame, `X=x'`, `Y=diag(Q_p)^-1 y'`. All formulas below keep these +port operators in their actual order. Write Q for the selected diagonal +operator and `q=Q^-1`. + +## Complete balanced words + +The source supplies a 1,648-primitive word for H on the 40 ordinary centre +ports and its literal inverse at the same cost. Each word uses data +fields in place and no owned field. Bind these words to the actual +initial-Y and completed-X frames. Append the preceding exact 64-port +Hadamard word or its literal inverse. Each costs 2,048 and includes 32 +physical field exchanges. Thus each complete ordinary gauge costs 3,696. + +The checker verifies the full 104-port maps and both matrix inverse +orders. No field exchange, admission, or frame conversion is implicit. +The boundary gauges have no C0 operation. All eight owned fields remain +the responsibility of the native core, which clears them and returns +them zero. + +Each selected exchange costs 26 primitives, so one eight-port pass costs +208. With logical input `x=(a,u)`, `y=(b,v)`, the raw backward word gives + +```text +X_S = q b - L Q a - B v, +X_U = u - D Q a - H v, +Y_S = Q a, +Y_U = v. +``` + +Its cost is `87360+208=87568`. Applying H inverse to the completed X_U +gives the balanced backward word: + +```text +X_S = q b - L Q a - B v, +X_U = H^-1 u - H^-1 D Q a - v, +Y_S = Q a, +Y_U = v. +``` + +Its cost is `87568+3696=91264`. The physical selected Y fields contain +the common FULL transform of the original a. + +The balanced forward word applies H to current ordinary Y, exchanges S, +runs the forward core, and exchanges S again. It gives + +```text +X_S = a + q (L q b + B u), +X_U = u, +Y_S = b, +Y_U = H(u+v) + D q b. +``` + +Its cost is `87360+2*208+3696=91472`. These operations use the current Y +bank before the core and completed data after the core. They do not use +an old query at a later view. + +## A general exact normalization reduction + +The reduction in this section requires only an invertible selected +principal block L. It does not require H inverse. If L and its inverse +have dyadic scalar implementations, the reduction is a dyadic physical +word at the completed common frame. + +The original-X coefficient of the raw backward map, acting on +`z=(Qa,u)`, is + +```text +C = [-L 0] + [-D I]. +``` + +Its inverse is + +```text +N = [-L^-1 0] + [-D L^-1 I]. +``` + +Thus apply the following two operations to the completed raw X bank: + +```text +X_S <- -L^-1 X_S +X_U <- X_U + D X_S +``` + +The second operation uses the already changed selected X fields. The +complete map becomes + +```text +X_S = Q a - L^-1 q b + L^-1 B v, +X_U = u - D L^-1 q b - (H-D L^-1 B)v, +Y_S = Q a, +Y_U = v. +``` + +This proves the required original-X response `diag(Q,I)`. It also states +the entire borrowed-source response. No Q operator moves through L, +B, D, or H. + +When H is also invertible, compare this with the longer path. Let + +```text +U_B = [I -B] + [0 I], + +A = U_B diag(I,H^-1) C. +``` + +The longer path applies H inverse, then the upper subtraction `U_B`, +then A inverse. Its complete scalar suffix is + +`A^-1 U_B diag(I,H^-1)=C^-1=N`. + +This is equality on the full X bank, including every borrowed-source +term. It is not only equality of the original-X coefficient. It also +leaves Y unchanged. The checker executes both literal paths through the +native core and checks that all 640 output columns agree. + +For the signed eight-port source, the emitted data factor is literally + +```text +lower(-D); (-L on S); (H^-1 on the 40 ordinary ports); upper(-B). +``` + +The selected-only factor has 28 scalar operations and costs 192. Its +literal inverse implements `-L^-1` at the same cost. Each cross shear +has 144 half-coefficient ADDs and costs 1,440. The short normalized word +therefore costs + +`87360+208+192+1440=89200`. + +The diagonal backward word costs `91264+1440=92704`. The complete A +inverse includes the 4,720-primitive source word and the 2,048-primitive +64-port factor, so it costs 6,768. The long normalized path costs +`92704+6768=99472`. The exact reduction saves 10,272 primitives. This +equals two ordinary gauges plus two upper shears: +`2*3696+2*1440=10272`. + +## The same reduction on the 24-port response + +The preceding positive component response has + +```text +L = I - K_S^T K_S/2, +L^-1 = I - K_S^T K_S/4, +D = -K_U^T K_S/2, +K_S K_S^T = 6I. +``` + +The short suffix can use one already owned C0. For each centre row, +query its six selected inputs, scale the query by `1/4`, and scatter its +negative signed entries to all 12 supported ports. Scale C0 by `-2` +and subtract the updated selected query. This restores C0 exactly. +After all eight rows, negate the 24 selected fields. The result is +precisely N. The 64 Hadamard ports are unchanged. + +The suffix costs 1,608, including C0 admission, its final zero-frame +reset, and all 24 sign changes. C0 must be zero before each new COPY and +before the final reset. The checker verifies these conditions. The +complete word costs `87984+1608=89592`. It equals the preceding complete +96,012-primitive normalized word on every input column, including the +arbitrary owned input and borrowed data. + +## Verification, dependencies, and limits + +The payload contains fourteen complete eight-port words and four +complete 24-port normalization words. Every word is checked on both +source providers. Each replay covers all 640 input columns, restores +408 arbitrary helpers and 91 private zero buffers, and leaves all eight +owned fields zero. Scalar frames, child ranks, warp order, private-buffer +lifetimes, and all scalar invoices are checked. The native profile is +`2433H1+724H2+228H3+102H4+20H5`. + +The signed eight-port boundary words use no owned field. The 24-port +short suffix uses one existing owned field and restores it coherently. +None of these words adds a native child or private field. All scalar +coefficients and all operator coefficients use exact fractions. + +The checker pins all source manifests and validates every file named by +the two source freezes. It proves exact canonical equality and exact +native-record equality with the earlier phase-checked provider. It uses +the established forward and literal-dual backward recipes. It does not +rerun the lower-level phase interpreter. Independent review of these +new complete words is a separate artifact. + +Run with new output directories: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py --out-dir /tmp/reduced-interfaces-normal +python3 -O work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py --out-dir /tmp/reduced-interfaces-optimized +``` + +Both runs must end with `PASS_REDUCED_NATIVE_SELECTED_INTERFACES` and +decompressed payload hash +`740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d`. +Normal and optimized receipts and payloads must be byte-identical. +The checker rejects an existing output directory. + +The signed response and principal-unit proof come from the controller +lane. Its source credits the bridge-review lane for the ordinary and +general data gauges, the budget-geometry lane for the sharp eight-port +lower bound within the sign family, and the oblique-native lane for the +response space. This packet adds the literal physical transfer and the +short exact normalization. It also uses the earlier native replay and +phase-checked provider work. This is AI-assisted research. + +Routed-stage transport, caller exterior phase, storage hosting, recursive +precision, and the complete supplier bill remain open. Local principal +units do not establish these obligations. No PR, commit, or push is part +of this work. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py new file mode 100644 index 0000000000..7b61cd2b27 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/emit_reduced_interfaces.py @@ -0,0 +1,388 @@ +#!/usr/bin/env python3 +"""Emit the eight-port interface and reduced exact backward normalizations.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parent +LANES = LANE.parent +EIGHT = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +STRUCTURED = LANES / 'controller-followthrough-20261017/structured-centres' +TRANSFER = LANE / 'structured-centres-transfer-20261018' +PINS = { + 'eight_freeze': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'eight_payload': '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee', + 'structured_payload': '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1', + 'preceding_transfer_freeze': 'e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280', + 'preceding_transfer_payload': 'ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b', + 'scalar_tools': 'a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2', + 'native_replay': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', +} + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(raw) + + +def module(name, path, pin): + need(sha256(path.read_bytes()).hexdigest() == pin, 'Tool pin: ' + str(path)) + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def decode(rows): + return [{int(q): F(value) for q, value in row.items()} for row in rows] + + +def product(left, right): + result = [] + for row in left: + out = {} + for q, value in row.items(): + r.add(out, right[q], value) + result.append(out) + return result + + +def inverse(matrix): + size = len(matrix) + rows = [[matrix[i].get(j, F(0)) for j in range(size)] + [F(i == j) for j in range(size)] + for i in range(size)] + for column in range(size): + pivot = next(i for i in range(column, size) if rows[i][column]) + rows[column], rows[pivot] = rows[pivot], rows[column] + coefficient = rows[column][column] + rows[column] = [value / coefficient for value in rows[column]] + for i in range(size): + if i != column and rows[i][column]: + coefficient = rows[i][column] + rows[i] = [a - coefficient * b for a, b in zip(rows[i], rows[column])] + return [{j: value for j, value in enumerate(row[size:]) if value} for row in rows] + + +def identity_matrix(): + return [{p: F(1)} for p in range(112)] + + +def lift(matrix, ports): + output = identity_matrix() + for i, p in enumerate(ports): + output[p] = {ports[j]: value for j, value in matrix[i].items()} + return output + + +def bind(source, offset, frame): + output = [] + for event in source: + need(event[0] == 'scalar' and event[2] == 0, 'Scalar source frame') + gate = event[1] + need(gate[0] in ('add', 'scale'), 'No owned field or nonunit scalar operation') + tokens = [token for token in gate[1:] if isinstance(token, list)] + need(all(token[0] == 'L' and 0 <= token[1] < 112 for token in tokens), 'Data-only gauge') + if gate[0] == 'add': + output.append(u.scalar('add', offset + gate[1][1], offset + gate[2][1], F(*gate[3:5]), frame)) + else: + output.append(u.scalar('scale', offset + gate[1][1], coefficient=F(*gate[2:4]), frame=frame)) + return output + + +def move(events, offset, frame): + output = deepcopy(events) + for event in output: + event['frame'] = frame + for key in ('target', 'source'): + if key in event: + need(0 <= event[key] < 112, 'Data-only Hadamard word') + event[key] += offset + return output + + +def boundary(events, state, n): + start = 0 + for index, event in enumerate(events): + if event['kind'] != 'clear': + continue + state = r.boundary(events[start:index], state, n) + if index: + need(not state[event['target']], 'Zero query before frame reset') + state = r.boundary([event], state, n) + start = index + 1 + return r.boundary(events[start:], state, n) + + +def apply_matrix(matrix, state, offset=0): + output = deepcopy(state) + for p, row in enumerate(matrix): + output[offset + p] = {} + for q, value in row.items(): + r.add(output[offset + p], state[offset + q], value) + return output + + +def raw_expected(j, selected, identity, backward): + output = deepcopy(identity) + selected = set(selected) + if backward: + for p in range(112): + if p in selected: + output[p] = r.line(identity[112 + p], p, -1) + output[112 + p] = r.line(identity[p], p, 1) + for q, value in j[p].items(): + source = r.line(identity[q], q, 1) if q in selected else identity[112 + q] + r.add(output[p], source, -value) + else: + for p in range(112): + query = {} + for q, value in j[p].items(): + source = r.line(identity[112 + q], q, -1) if q in selected else identity[q] + r.add(query, source, value) + if p in selected: + r.add(output[p], r.line(query, p, -1)) + else: + r.add(output[112 + p], query) + return output + + +def selected_normalizer(j, selected): + index = {p: i for i, p in enumerate(selected)} + l = [{index[q]: value for q, value in j[p].items() if q in index} for p in selected] + li = inverse(l) + need(all(value.denominator & (value.denominator - 1) == 0 for row in li for value in row.values()), 'Dyadic selected inverse') + need(product(l, li) == product(li, l) == [{i: F(1)} for i in range(len(selected))], 'Selected inverse orders') + output = identity_matrix() + for p in selected: + output[p] = {selected[q]: -value for q, value in li[index[p]].items()} + for p in range(112): + if p in index: + continue + for q, value in j[p].items(): + if q in index: + r.add(output[p], output[q], value) + return output + + +def selected_query_normalizer(rows, selected, n): + output = [u.scalar('clear', n, frame=1)] + for row in rows: + query = {p: value for p, value in row.items() if p in selected} + ports = sorted(query) + need(len(ports) == 6, 'Six selected query entries') + output.append(u.scalar('copy', n, ports[0], frame=1)) + if query[ports[0]] == -1: + output.append(u.scalar('scale', n, coefficient=F(-1), frame=1)) + output += [u.scalar('add', n, p, query[p], 1) for p in ports[1:]] + output.append(u.scalar('scale', n, coefficient=F(1, 4), frame=1)) + output += [u.scalar('add', p, n, -value, 1) for p, value in sorted(row.items())] + output.append(u.scalar('scale', n, coefficient=F(-2), frame=1)) + output += [u.scalar('add', n, p, -query[p], 1) for p in ports] + output += [u.scalar('scale', p, coefficient=F(-1), frame=1) for p in sorted(selected)] + output.append(u.scalar('clear', n, frame=0)) + need(u.price(output) == 1608, 'Selected-query normalized suffix price') + return output + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out-dir', type=Path, required=True) + args = parser.parse_args() + need(not args.out_dir.exists(), 'Use a new output directory') + for directory, name, pin in ((EIGHT, 'FREEZE.json', PINS['eight_freeze']), + (TRANSFER, 'FREEZE.json', PINS['preceding_transfer_freeze'])): + freeze = read(directory / name, pin) + for filename, value in freeze['artifacts'].items(): + need(sha256((directory / filename).read_bytes()).hexdigest() == value, 'Frozen dependency: ' + filename) + eight = read(EIGHT / 'BIPARTITE-EIGHT-PROGRAM.json.gz', PINS['eight_payload'], True) + structured = read(STRUCTURED / 'STRUCTURED-CENTRES-PROGRAM.json.gz', PINS['structured_payload'], True) + preceding = read(TRANSFER / 'scaled-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz', PINS['preceding_transfer_payload'], True) + packet = {'schema': 'reduced-native-selected-interfaces-v1', 'source_pins': PINS, 'families': {}} + receipt = {'status': 'PASS_REDUCED_NATIVE_SELECTED_INTERFACES', 'source_pins': PINS, 'families': {}} + for family_name in ('eight', 'twenty_four'): + is_eight = family_name == 'eight' + source = eight if is_eight else structured + selected = source['selected_ports'] if is_eight else preceding['selected_S'] + ordinary = sorted(set(range(112)) - set(selected)) + j = decode(source['response']) + if not is_eight: + j = [{q: -value for q, value in row.items()} for row in j] + normalizer = selected_normalizer(j, selected) + family = {'selected_S': selected, 'ordinary_U': ordinary, 'providers': {}} + reports = {} + for provider, source_item in source['providers'].items(): + old = preceding['providers'][provider] + word, n = source_item['canonical'], len(source_item['canonical']['start']) + need(word == old['canonical'] and n == 632 and len(word['zero_buffers']) == 91, 'Exact retained geometry and resources') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Boundary frames') + native = source_item['programs'] if is_eight else { + direction: old['programs']['raw_' + direction]['retained_core'] for direction in ('forward', 'backward')} + for direction in native: + records = lambda events: [event for event in events if event[0] in ('climb', 'warp', 'adapter', 'residual_adapter')] + need(records(native[direction]) == records(old['programs']['raw_' + direction]['retained_core']), 'Identical native phase records') + need(r.core_price(native[direction]) == 87360, 'Native scalar price') + identity = {p: {(p, ()): F(1)} for p in range(n + 8)} + raw_b = raw_expected(j, selected, identity, True) + normalized = apply_matrix(normalizer, raw_b) + if is_eight: + centre_u, large, small = source['ordinary_centre_ports'], source['large_ports'], source['small_ports'] + gauges = source['gauge_programs'] + h64 = old['gauge_words']['hadamard_X'] + hi64 = old['gauge_words']['hadamard_inverse_X'] + h, hi = lift(decode(source['gauge_maps']['ordinary']), centre_u), lift(decode(source['gauge_maps']['ordinary_inverse']), centre_u) + data, data_inverse = lift(decode(source['gauge_maps']['data']), large), lift(decode(source['gauge_maps']['data_inverse']), large) + for p in small: + h[p] = dict(j[p]) + hi[p] = {q: value / 4 for q, value in j[p].items()} + data[p], data_inverse[p] = dict(hi[p]), dict(h[p]) + need(product(h, hi) == product(hi, h) == identity_matrix(), 'Complete ordinary inverse orders') + need(product(data, data_inverse) == product(data_inverse, data) == identity_matrix(), 'Complete data inverse orders') + pre = bind(gauges['ordinary'], 112, 0) + move(h64, 112, 0) + post_h = bind(gauges['ordinary_inverse'], 0, 1) + hi64 + upper = [u.scalar('add', p, q, -value, 1) for p in selected for q, value in sorted(j[p].items()) if q in ordinary] + lower = [u.scalar('add', p, q, value, 1) for p in ordinary for q, value in sorted(j[p].items()) if q in selected] + selected_source = [event for event in gauges['data'] + if all(token[1] in selected for token in event[1][1:] if isinstance(token, list))] + selected_word = bind(selected_source, 0, 1) + negative_lower = [dict(event, coefficient=str(-F(event['coefficient']))) for event in lower] + need(bind(gauges['data'], 0, 1) == negative_lower + selected_word + bind(gauges['ordinary_inverse'], 0, 1) + upper, + 'Literal source data factorization') + selected_inverse = u.inverse_word(selected_word) + short_post = selected_inverse + lower + long_post = post_h + upper + bind(gauges['data_inverse'], 0, 1) + h64 + need(u.price(selected_inverse) == 192 and u.price(lower) == u.price(upper) == 1440, 'Selected and shear prices') + balanced_b = apply_matrix(hi, raw_b) + diagonal_b = deepcopy(identity) + for p in range(112): + diagonal_b[p] = {} + for q, value in data[p].items(): + src = r.line(identity[q], q, 1) if q in selected else identity[q] + r.add(diagonal_b[p], src, value) + if p in selected: + r.add(diagonal_b[p], r.line(identity[112 + p], p, -1)) + diagonal_b[112 + p] = r.line(identity[p], p, 1) + else: + r.add(diagonal_b[p], identity[112 + p], -1) + need(apply_matrix(data_inverse, diagonal_b) == normalized, 'Complete short and long map identity') + raw_f = raw_expected(j, selected, identity, False) + balanced_f = deepcopy(raw_f) + for p in ordinary: + balanced_f[112 + p] = {} + for q, value in h[p].items(): + r.add(balanced_f[112 + p], identity[q], value) + r.add(balanced_f[112 + p], identity[112 + q], value) + for q, value in j[p].items(): + if q in selected: + r.add(balanced_f[112 + p], r.line(identity[112 + q], q, -1), value) + for events, matrix, offset in ((pre, h, 112), (post_h, hi, 0)): + need(boundary(events, identity, n) == apply_matrix(matrix, identity, offset), 'Actual complete ordinary gauge') + specs = { + 'raw_backward': ('backward', [], [], raw_b, 87568), + 'balanced_backward': ('backward', [], post_h, balanced_b, 91264), + 'diagonal_backward': ('backward', [], post_h + upper, diagonal_b, 92704), + 'long_normalized_backward': ('backward', [], long_post, normalized, 99472), + 'short_normalized_backward': ('backward', [], short_post, normalized, 89200), + 'raw_forward': ('forward', [], u.exchange(selected, 1), raw_f, 87776), + 'balanced_forward': ('forward', pre, u.exchange(selected, 1), balanced_f, 91472), + } + local_words = {'ordinary_Y': pre, 'ordinary_inverse_X': post_h, 'selected_inverse_X': selected_inverse, + 'upper_X': upper, 'lower_X': lower, 'short_normalizer_X': short_post, + 'long_normalizer_X': long_post} + else: + rows = decode(source['centre_rows']) + short_post = selected_query_normalizer(rows, selected, n) + long_post = old['programs']['normalized_backward']['suffix'] + specs = { + 'long_normalized_backward': ('backward', [], long_post, normalized, 96012), + 'short_normalized_backward': ('backward', [], short_post, normalized, 89592), + } + local_words = {'short_normalizer_X': short_post, 'long_normalizer_X': long_post} + for name, events in local_words.items(): + u.check_frames(events, 0 if name == 'ordinary_Y' else 1, n) + expected_suffix = apply_matrix(normalizer, identity) + if not is_eight: + expected_suffix[n] = {} + need(boundary(short_post, identity, n) == expected_suffix, 'Exact short scalar normalizer on all columns') + need(boundary(short_post, identity, n) == boundary(long_post, identity, n), 'Literal short/long suffix equality') + input_swap = u.exchange(selected, 0) + actual_maps, programs, results = {}, {}, {} + for name, (direction, pre, post, expected, total) in specs.items(): + expected = deepcopy(expected) + for p in range(n, n + 8): + expected[p] = {} + physical = deepcopy(identity) + for p in range(112): + physical[p] = r.line(physical[p], p, 1) + physical = boundary(pre + input_swap, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = r.line(logical[p], p, -1) + logical, checks, warps = r.core_replay(native[direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = r.line(physical[112 + p], p, -1) + physical = boundary(post, physical, n) + actual = deepcopy(physical) + for p in range(112): + actual[112 + p] = r.line(actual[112 + p], p, 1) + need(actual == expected, 'All640 ordered columns: ' + family_name + ' ' + provider + ' ' + name) + need(all(actual[p] == identity[p] for p in range(224, n)), 'Arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned fields zero') + if direction == 'backward': + need(all(physical[112 + p] == identity[p] for p in selected), 'Physical selected Y source') + if 'normalized' in name: + for p in range(112): + part = {key: value for key, value in actual[p].items() if key[0] < 112} + need(part == (r.line(identity[p], p, 1) if p in selected else identity[p]), 'Normalized original-X response') + bill = r.core_price(native[direction]) + u.price(pre + input_swap + post) + need(bill == total, 'Complete scalar invoice') + profile = Counter(event[5] for event in native[direction] if event[0] == 'climb') + need(dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Retained native profile') + programs[name] = {'orientation': direction, 'prefix': pre, 'input_exchange': input_swap, + 'retained_core': native[direction], 'suffix': post, + 'events': pre + input_swap + native[direction] + post} + results[name] = {'scalar_real_primitives': bill, 'native_rank_mass': 5073, 'native_children': 3507, + 'new_native_children': 0, 'new_private_fields': 0, 'native_profile': dict(sorted(profile.items())), + 'all_input_columns': 640, 'arbitrary_helpers_restored': 408, + 'private_zero_buffers_restored': 91, 'owned_final_zero': 8, + 'core_scalar_frame_checks': checks, 'core_warp_events': warps} + actual_maps[name] = actual + print(family_name, provider, name, bill, flush=True) + need(actual_maps['short_normalized_backward'] == actual_maps['long_normalized_backward'], 'Complete native path equality') + family['providers'][provider] = {'canonical': word, 'local_words': local_words, 'programs': programs} + reports[provider] = {'programs': results, 'local_word_prices': {name: u.price(events) for name, events in local_words.items()}, + 'complete_normalized_paths_equal': True, 'same_native_phase_records': True} + packet['families'][family_name], receipt['families'][family_name] = family, reports + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Complete local physical interfaces and equal short/long normalization paths. ' + 'All Q operators remain ordered. Inter-call transport, exterior phase, hosting, ' + 'recursive precision and the complete supplier invoice remain separate.') + args.out_dir.mkdir(parents=True) + (args.out_dir / 'REDUCED-INTERFACES-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (args.out_dir / 'REDUCED-INTERFACES-RECEIPT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + r = module('reduced_native_replay', LANE / 'emit_raw_selected.py', PINS['native_replay']) + u = module('reduced_scalar_tools', TRANSFER / 'emit_structured_transfer.py', PINS['scalar_tools']) + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz new file mode 100644 index 0000000000..690bfdf13d Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json new file mode 100644 index 0000000000..cf9cd16fe2 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-normal/REDUCED-INTERFACES-RECEIPT.json @@ -0,0 +1,431 @@ +{ + "checker_sha256": "c9f7e909bb96d1356d169186e3c60cd2a9551b095ae55b97c589e2d10182a35b", + "families": { + "eight": { + "base": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 11904, + "lower_X": 1440, + "ordinary_Y": 3696, + "ordinary_inverse_X": 3696, + "selected_inverse_X": 192, + "short_normalizer_X": 1632, + "upper_X": 1440 + }, + "programs": { + "balanced_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91264 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91472 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 92704 + }, + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 99472 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87568 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87776 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89200 + } + }, + "same_native_phase_records": true + }, + "extra": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 11904, + "lower_X": 1440, + "ordinary_Y": 3696, + "ordinary_inverse_X": 3696, + "selected_inverse_X": 192, + "short_normalizer_X": 1632, + "upper_X": 1440 + }, + "programs": { + "balanced_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91264 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91472 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 92704 + }, + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 99472 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87568 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87776 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89200 + } + }, + "same_native_phase_records": true + } + }, + "twenty_four": { + "base": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 8028, + "short_normalizer_X": 1608 + }, + "programs": { + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96012 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89592 + } + }, + "same_native_phase_records": true + }, + "extra": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 8028, + "short_normalizer_X": 1608 + }, + "programs": { + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96012 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89592 + } + }, + "same_native_phase_records": true + } + } + }, + "payload_decompressed_sha256": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "scope": "Complete local physical interfaces and equal short/long normalization paths. All Q operators remain ordered. Inter-call transport, exterior phase, hosting, recursive precision and the complete supplier invoice remain separate.", + "source_pins": { + "eight_freeze": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "eight_payload": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "preceding_transfer_freeze": "e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280", + "preceding_transfer_payload": "ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b", + "scalar_tools": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "structured_payload": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1" + }, + "status": "PASS_REDUCED_NATIVE_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-optimized/REDUCED-INTERFACES-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-optimized/REDUCED-INTERFACES-PROGRAMS.json.gz new file mode 100644 index 0000000000..690bfdf13d Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-optimized/REDUCED-INTERFACES-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/bipartite-eight-transfer-20261018/run-optimized/REDUCED-INTERFACES-RECEIPT.json 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10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91264 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91472 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, 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"core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91472 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 92704 + }, + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 99472 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87568 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87776 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89200 + } + }, + "same_native_phase_records": true + } + }, + "twenty_four": { + "base": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 8028, + "short_normalizer_X": 1608 + }, + "programs": { + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96012 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89592 + } + }, + "same_native_phase_records": true + }, + "extra": { + "complete_normalized_paths_equal": true, + "local_word_prices": { + "long_normalizer_X": 8028, + "short_normalizer_X": 1608 + }, + "programs": { + "long_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96012 + }, + "short_normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 89592 + } + }, + "same_native_phase_records": true + } + } + }, + "payload_decompressed_sha256": "740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d", + "scope": "Complete local physical interfaces and equal short/long normalization paths. All Q operators remain ordered. Inter-call transport, exterior phase, hosting, recursive precision and the complete supplier invoice remain separate.", + "source_pins": { + "eight_freeze": "c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1", + "eight_payload": "0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee", + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "preceding_transfer_freeze": "e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280", + "preceding_transfer_payload": "ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b", + "scalar_tools": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "structured_payload": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1" + }, + "status": "PASS_REDUCED_NATIVE_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/compare_serial_sources.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/compare_serial_sources.py new file mode 100644 index 0000000000..d721768c8f --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/compare_serial_sources.py @@ -0,0 +1,78 @@ +#!/usr/bin/env python3 +"""Compare the independently emitted scalar factors after namespace changes.""" + +from hashlib import sha256 +import gzip +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +PINS = { + 'integrated': 'a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e', + 'five_minor_source': 'f5c9a49201d3900d3760804b4801b06df21ae100ae62e7b6e0ced283f4f4fc56', + 'one_minor_source': '525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9', +} + + +def read(path, pin, compressed): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + assert sha256(raw).hexdigest() == pin + return json.loads(raw) + + +def main(): + native = read(HERE / 'SERIAL-BALANCED-PROGRAMS.json.gz', PINS['integrated'], True) + five = read(HERE.parent / 'bridge-access-20261017/weighted-gauges/SCALED-ROWS-PROGRAMS.json.gz', + PINS['five_minor_source'], True) + one = read(HERE.parent / 'independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID-WORDS.json', + PINS['one_minor_source'], False) + matches = {} + for variant, part, five_key, five_part, one_key, offset, frame in ( + ('balanced_forward', 'prefix', 'ordinary_forward', 'initial_Y_events', 'H', 112, 0), + ('balanced_backward', 'suffix', 'ordinary_inverse', 'completed_X_events', 'H_inverse', 0, 1), + ('diagonal_backward', 'suffix', 'fused_inverse', 'completed_X_events', 'H_inverse_fused_upper', 0, 1), + ): + old = five['words'][five_key][five_part] + for e in old: + for key in ('target', 'source'): + if e.get(key) == 704: + e[key] = 632 + old_one = [] + for e in one[one_key]: + if e[0] == 'clear' and old_one and old_one[-1][0] == 'clear': + continue + old_one.append(e) + def field(p): + return 632 if p == 112 else p + offset + translated = [] + for e in old_one: + item = {'kind': e[0], 'target': field(e[1]), 'frame': frame} + if e[0] == 'add': + item.update(source=field(e[2]), coefficient=e[3]) + elif e[0] == 'scale': + item['coefficient'] = e[2] + elif e[0] == 'divide_odd': + item['divisor'] = e[2] + else: + assert e[0] == 'clear' + translated.append(item) + translated[-1]['frame'] = 0 + for provider in ('base', 'extra'): + assert native['families']['five_minors']['providers'][provider]['programs'][variant][part] == old + assert native['families']['one_minor']['providers'][provider]['programs'][variant][part] == translated + matches[variant] = {'five_minor_events': len(old), 'one_minor_events': len(translated), + 'both_provider_matches': True} + receipt = {'status': 'PASS_INDEPENDENT_SERIAL_FACTOR_SOURCE_MATCH', 'source_pins': PINS, + 'matches': matches, 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'changes': ['Rename old C0 roles to 632.', + 'Remove seven adjacent duplicate owned CLEARs in the one-minor source.', + 'Bind each one-minor factor to its common input-I or output-FULL frame; final C0 is I.']} + (HERE / 'SERIAL-SOURCE-COMPARISON.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_clean_j.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_clean_j.py new file mode 100644 index 0000000000..c4e3c84db2 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_clean_j.py @@ -0,0 +1,208 @@ +#!/usr/bin/env python3 +"""Lower the PR3133 centre deletion and its entrance correction.""" +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import gzip +import hashlib +import json + +HERE = Path(__file__).resolve().parent +INTERFACE = HERE / 'INTERFACE.json' +INPUT_PINS = {'native-original-base/CANONICAL-WORD.json.gz': 'bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472', 'native-original-base/LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', 'native-original-base/FULL-WORD.json.gz': '49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e', 'native-original-extra/CANONICAL-WORD.json.gz': '1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224', 'native-original-extra/LOCAL-PROGRAMS.json.gz': '4048b4494793f31c6c9ce85a7de584c53cafae0cd5c119eb1084b221cfe04ad9', 'native-original-extra/FULL-WORD.json.gz': '34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731'} +INTERFACE_PIN = 'c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746' + + +def require(test, message): + if not test: + raise ValueError(message) + + +def digest(data): + return hashlib.sha256(data).hexdigest() + + +def read_gzip(path): + return json.loads(gzip.decompress(path.read_bytes())) + + +def scalar_cost(op): + if op[0] in ('clear', 'copy'): + return 2 + q = Q(*op[-2:]) + a, b = abs(q.numerator), q.denominator + require(b & (b - 1) == 0, 'Dyadic coefficient') + if op[0] == 'scale': + require(a & (a - 1) == 0, 'Unit SCALE') + return 2 * (abs(a.bit_length() - b.bit_length()) + int(q < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def prefix(R, H, original_to_compact, backward): + result = [['phase', 'clean_J_input_helper_debt_correction']] + C = ['C', 0] + def add(target, source, coefficient): + q = Q(coefficient) + result.append(['scalar', ['add', target, source, q.numerator, q.denominator], 0]) + for k in range(8): + result.append(['scalar', ['clear', C], 0]) + if backward: + for p, value in sorted(R[k].items()): + add(C, ['L', 112 + p], value / 4) + for h, value in sorted(H[k].items()): + add(['L', original_to_compact[h]], C, -value) + else: + for h, value in sorted(H[k].items()): + add(C, ['L', original_to_compact[h]], value) + for p, value in sorted(R[k].items()): + add(['L', 112 + p], C, value / 4) + result.append(['scalar', ['clear', C], 0]) + return result + + +def add_row(dst, src, q): + for key, value in src.items(): + value = dst.get(key, 0) + q * value + if value: + dst[key] = value + else: + dst.pop(key, None) + + +def replay(program, canonical, backward, R, clean=True): + n = 224 + canonical['R'] + fields = [('L', i) for i in range(n)] + [('C', i) for i in range(8)] + rows = {field: {(field, ()): Q(1)} for field in fields} + frames = {('L', i): f for i, f in enumerate(canonical['start'])} + frames.update({('C', i): 0 for i in range(8)}) + zero_live = set() + prefix_end = next(i for i, event in enumerate(program) if event == ['phase', 'zero_frame_precondition']) + for position, event in enumerate(program): + tag = event[0] + if tag == 'scalar': + op, frame = event[1:] + field = tuple(op[1]) + if op[0] == 'clear': + rows[field] = {} + frames[field] = frame + elif op[0] == 'copy': + other = tuple(op[2]) + require(frames[field] == frames[other] == frame, ('COPY frame', position)) + rows[field] = dict(rows[other]) + elif op[0] == 'add': + other = tuple(op[2]) + require(frames[field] == frames[other] == frame, ('ADD frame', position)) + require(field != other, 'Distinct ADD fields') + add_row(rows[field], rows[other], Q(op[3], op[4])) + elif op[0] == 'scale': + require(frames[field] == frame, ('SCALE frame', position)) + q = Q(op[2], op[3]) + rows[field] = {key: q * v for key, v in rows[field].items()} + else: + raise ValueError(op[0]) + elif tag == 'climb': + field = ('L', event[2]) + require(frames[field] == event[3], ('Native input frame', position)) + require(len(canonical['frames'][event[4]]) - len(canonical['frames'][event[3]]) == event[5], 'Native rank') + frames[field] = event[4] + elif tag == 'warp': + field = tuple(event[1]) + require(frames[field] == event[3], ('Warp frame', position)) + frames[field] = event[4] + symbol = event[2] + if backward: + symbol = (abs(symbol) + 1000) * (1 if symbol > 0 else -1) + rows[field] = {(source, word[:-1] if word and word[-1] == -symbol else word + (symbol,)): value for (source, word), value in rows[field].items()} + elif tag == 'zero_buffer': + field = ('Z', event[2]) + if event[1] == 'alloc': + require(field not in zero_live, 'Zero buffer allocated once') + zero_live.add(field) + rows[field] = {} + frames[field] = 1 + else: + require(field in zero_live and not rows[field], 'Zero buffer returned to zero') + zero_live.remove(field) + elif tag in ('phase', 'adapter', 'residual_adapter'): + pass + else: + raise ValueError(('Unexpected event', event)) + require(not zero_live, 'No live zero buffer at exit') + for field in fields: + kind, index = field + goal = {(field, ()): Q(1)} + if kind == 'C': + if index == 0: + goal = {} + elif index < 224: + is_target = index < 112 if backward else index >= 112 + if is_target: + p = index if backward else index - 112 + source = ('L', 112 + p if backward else p) + add_row(goal, {(source, ()): Q(1)}, -1 if backward else 1) + for k in range(8): + value = R[k].get(p, Q(0)) + for j, coefficient in R[k].items(): + src = ('L', 112 + j if backward else j) + add_row(goal, {(src, ()): coefficient}, value / 4 if backward else -value / 4) + require(rows[field] == goal, ('Complete map mismatch', backward, field)) + require([frames['L', i] for i in range(n)] == canonical['final'], 'All live endpoint frames') + return {'live_input_columns': n, 'arbitrary_C_input_columns': 8, 'C0_exit': 'zero', 'C1_to_C7_exit': 'physical identity by non-use', 'zero_buffers_returned': len(canonical['zero_buffers']), 'prefix_events': prefix_end, 'events': len(program)} + + +def native_record(event): + return event[0] in ('climb', 'center', 'warp', 'adapter', 'residual_adapter') + + +def main(): + require(digest(INTERFACE.read_bytes()) == INTERFACE_PIN, 'Pinned derived interface') + for name, pin in INPUT_PINS.items(): + require(digest(gzip.decompress((HERE / name).read_bytes())) == pin, 'Pinned source: ' + name) + interface = json.loads(INTERFACE.read_text()) + R = [{int(k): Q(v) for k, v in row.items()} for row in interface['R']] + H = [{int(k): Q(v) for k, v in row.items()} for row in interface['H']] + payload = {'schema': 'pr3133-clean-J-native-transfer-v1', 'providers': {}, 'R': interface['R'], 'H': interface['H'], 'source_interface_sha256': digest(INTERFACE.read_bytes())} + receipt = {'status': 'PASS_PR3133_CLEAN_J_LOCAL_NATIVE_TRANSFER', 'providers': {}} + for name in ('base', 'extra'): + folder = HERE / ('native-original-' + name) + canonical = read_gzip(folder / 'CANONICAL-WORD.json.gz') + old = read_gzip(folder / 'LOCAL-PROGRAMS.json.gz') + original = read_gzip(folder / 'FULL-WORD.json.gz') + kept = list(range(224)) + canonical['helper_origin'] + mapping = {r: i for i, r in enumerate(kept)} + require(len(mapping) == 632, 'Complete compact live namespace') + require(all(canonical['start'][mapping[h]] == 0 and canonical['final'][mapping[h]] == 1 for row in H for h in row), 'All H roles are I to FULL') + result = {'canonical': canonical, 'programs': {}, 'removed_centre_blocks': {}, 'source_program_payload_sha256': digest(gzip.decompress((folder / 'LOCAL-PROGRAMS.json.gz').read_bytes()))} + result_receipt = {} + for orientation in ('forward', 'backward'): + backward = orientation == 'backward' + source = old[orientation] + left = source.index(['phase', 'centers']) + right = source.index(['phase', 'B'], left) + deleted = source[left + 1:right] + require(all(e[0] in ('center', 'scalar') for e in deleted), 'Only centre block is removed') + require(Counter(e[4] for e in deleted if e[0] == 'center') == {8: 8}, 'Exact deleted native profile') + start = prefix(R, H, mapping, backward) + target = start + source[:left + 1] + source[right:] + require([e for e in target if native_record(e)] == [e for e in source if native_record(e) and e[0] != 'center'], 'All retained native records equal the source') + check = replay(target, canonical, backward, R) + profile = Counter(e[5] for e in target if e[0] == 'climb') + require(profile == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Clean profile') + bill = sum(scalar_cost(e[1]) for e in target if e[0] == 'scalar') + require(bill == 164514, 'Complete scalar bill') + result['programs'][orientation] = target + result['removed_centre_blocks'][orientation] = deleted + check.update(native_profile=dict(sorted(profile.items())), native_rank_mass=sum(r * c for r, c in profile.items()), native_children=sum(profile.values()), scalar_real_primitives=bill, scalar_added=sum(scalar_cost(e[1]) for e in start if e[0] == 'scalar'), scalar_removed=sum(scalar_cost(e[1]) for e in deleted if e[0] == 'scalar'), scalar_original=sum(scalar_cost(e[1]) for e in source if e[0] == 'scalar'), retained_native_records=sum(native_record(e) for e in target), native_record_counts=dict(Counter(e[0] for e in target if native_record(e))), zero_buffer_event_positions=[i for i, e in enumerate(target) if e[0] == 'zero_buffer'], C0_scalar_positions=[i for i, e in enumerate(target) if e[0] == 'scalar' and ['C', 0] in e[1]]) + result_receipt[orientation] = check + result['helper_endpoint_roles'] = [{'compact': i, 'original': original_role, 'entry_frame': canonical['start'][i], 'exit_frame': canonical['final'][i], 'width': len(canonical['frames'][canonical['final'][i]]) - len(canonical['frames'][canonical['start'][i]])} for i, original_role in enumerate(kept) if i >= 224] + payload['providers'][name] = result + receipt['providers'][name] = result_receipt + raw = (json.dumps(payload, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'CLEAN-J-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt.update(payload_sha256=digest(raw), emitter_sha256=digest(Path(__file__).read_bytes()), scope='Complete literal scalar/native-record transfer on both 632-live-input providers, plus all eight arbitrary C inputs. Native phase lowering is inherited by exact record equality from the pinned provider. No new physical phase sweep, T9 owner admission, recursive private hosting, precision guard or global moment calculation.') + (HERE / 'CLEAN-J-TRANSFER.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38.py new file mode 100644 index 0000000000..72329c1322 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38.py @@ -0,0 +1,233 @@ +#!/usr/bin/env python3 +"""Transfer the exact irregular split with eight current owned queries.""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +CORE_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +RAW_PIN = 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc' +SERIAL_PIN = '7399a1d153197faae5f44f04e0ae3675a6c961d343329419c0c71bdc263bb9d6' +WITNESS_PIN = '0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f' + + +def need(test, label): + if not test: + raise ValueError(label) + + +def module(name, filename, pin): + path = HERE / filename + need(sha256(path.read_bytes()).hexdigest() == pin, 'Pinned replay: ' + filename) + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def product(a, b): + columns = list(zip(*b)) + return [[sum(x * y for x, y in zip(row, col)) for col in columns] for row in a] + + +def add_event(t, s, c, frame): + need(t != s and c, 'Nonzero off-diagonal ADD') + return {'kind': 'add', 'target': t, 'source': s, 'coefficient': str(c), 'frame': frame} + + +def factor(r, selected, inverse, upper, offset, frame, n): + ordinary = set(range(112)) - set(selected) + events = [{'kind': 'clear', 'target': n + i, 'frame': frame} for i in range(8)] + for i, row in enumerate(r): + events += [add_event(n + i, offset + p, c, frame) for p, c in sorted(row.items()) if p in ordinary] + if inverse: + for t, s in ((0, 2), (0, 3), (1, 4), (1, 5), (2, 0), (3, 0), (4, 1), (5, 1)): + events.append(add_event(n + t, n + s, Q(-1, 4), frame)) + events += [{'kind': 'scale', 'target': n + i, 'coefficient': str(Q(1, 32) if inverse else Q(1, 4)), + 'frame': frame} for i in range(8)] + for i, row in enumerate(r): + events += [add_event(offset + p, n + i, -c, frame) for p, c in sorted(row.items()) if upper or p in ordinary] + events += [{'kind': 'clear', 'target': n + i, 'frame': 0} for i in range(8)] + return events + + +def check_frames(events, offset, frame, n): + frames = {p: frame for p in range(offset, offset + 112)} + frames.update({n + i: 0 for i in range(8)}) + for e in events: + t, f = e['target'], e['frame'] + if e['kind'] == 'clear': + need(n <= t < n + 8, 'Only owned queries are cleared') + frames[t] = f + else: + need(frames[t] == f == frame, 'Factor target frame') + if e['kind'] == 'add': + s = e['source'] + need(s != t and frames[s] == f, 'Factor source frame') + need(n <= s < n + 8 or n <= t < n + 8, 'Only data-query or query-query ADD') + else: + need(e['kind'] == 'scale' and n <= t < n + 8, 'Query SCALE') + need(all(frames[n + i] == 0 for i in range(8)), 'All query fields return to I') + + +def main(): + replay = module('irregular_raw', 'emit_raw_selected.py', RAW_PIN) + serial = module('irregular_serial', 'emit_serial_balanced.py', SERIAL_PIN) + raw = gzip.decompress((HERE / 'CLEAN-J-PROGRAMS.json.gz').read_bytes()) + need(sha256(raw).hexdigest() == CORE_PIN, 'Core payload pin') + core = json.loads(raw) + path = HERE.parent.parent / 'root/IRREGULAR-SPLIT-20261017.json' + raw = path.read_bytes() + need(sha256(raw).hexdigest() == WITNESS_PIN, 'Independent witness pin') + witness = json.loads(raw) + selected = witness['selected'] + ordinary = [p for p in range(112) if p not in selected] + need(len(selected) == 38 and len(ordinary) == 74, 'Irregular split sizes') + r = [{int(p): Q(c) for p, c in row.items()} for row in core['R']] + dense_r = [[row.get(p, Q(0)) for p in range(112)] for row in r] + k = [[dense_r[i][p] / 4 for i in range(8)] for p in range(112)] + gram = product(k, dense_r) + selected_gram = [[sum(row.get(p, 0) * col.get(p, 0) for p in selected) for col in r] for row in r] + need(selected_gram == witness['gram'], 'Actual selected Gram matrix') + t = [[selected_gram[i][j] / 4 - 13 * (i == j) for j in range(8)] for i in range(8)] + ti = [[Q(c) for c in row] for row in witness['T_inverse']] + eye8 = [[Q(i == j) for j in range(8)] for i in range(8)] + need(product(t, ti) == product(ti, t) == eye8, 'Actual centre inverse both orders') + l_inverse = deepcopy(eye8) + for i, j in ((0, 2), (0, 3), (1, 4), (1, 5)): + l_inverse[i][j] -= Q(1, 4) + derived = product(list(map(list, zip(*l_inverse))), l_inverse) + need([[-c / 8 for c in row] for row in derived] == ti, 'Explicit inverse shear factor') + pmat = product(product(k, ti), dense_r) + jmat = [[Q(p == q) - gram[p][q] for q in range(112)] for p in range(112)] + packet = {'schema': 'pr3133-irregular-38-native-words-v1', + 'source_pins': {'core': CORE_PIN, 'raw_replay': RAW_PIN, 'serial_utility': SERIAL_PIN, 'witness': WITNESS_PIN}, + 'selected_S': selected, 'ordinary_U': ordinary, 'T_inverse': witness['T_inverse'], 'providers': {}} + receipt = {'status': 'PASS_PR3133_IRREGULAR_38_NATIVE_WORDS', 'selected_ports': 38, + 'ordinary_ports': 74, 'existing_owned_query_peak': 8, 'new_private_fields': 0, + 'new_native_children': 0, 'factor_scalar_costs': {}, 'providers': {}} + for provider, item in core['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(n == 632 and len(word['zero_buffers']) == 91, 'Exact provider') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Actual common endpoint frames') + identity = {p: {(p, ()): Q(1)} for p in range(n + 8)} + fs = factor(r, selected, False, False, 112, 0, n) + bs = factor(r, selected, True, False, 0, 1, n) + ds = factor(r, selected, True, True, 0, 1, n) + for events, offset, frame, factor_name in ((fs, 112, 0, 'H'), (bs, 0, 1, 'H_inverse'), (ds, 0, 1, 'fused_inverse')): + check_frames(events, offset, frame, n) + actual = replay.boundary(events, identity, n) + expected = deepcopy(identity) + for p in ordinary: + matrix = jmat if factor_name == 'H' else pmat + expected[offset + p] = {(offset + q, ()): matrix[p][q] + (Q(p == q) if factor_name != 'H' else 0) + for q in ordinary if matrix[p][q] + (Q(p == q) if factor_name != 'H' else 0)} + if factor_name == 'fused_inverse': + for p in selected: + for q in ordinary: + replay.add(expected[p], identity[q], pmat[p][q]) + for i in range(8): + expected[n + i] = {} + need(actual == expected, 'Exact finite-query factor: ' + factor_name) + price, scans = serial.price(events) + need(not scans, 'All new factors are dyadic') + receipt['factor_scalar_costs'][factor_name] = price + need(receipt['factor_scalar_costs'] == {'H': 4800, 'H_inverse': 4944, 'fused_inverse': 6160}, 'Factor scalar invoices') + swaps = serial.exchange(selected) + def evaluate(direction, pre, post): + physical = deepcopy(identity) + for p in range(112): + physical[p] = replay.line(physical[p], p, 1) + physical = replay.boundary(pre + swaps, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = replay.line(logical[p], p, -1) + logical, checks, warps = replay.core_replay(item['programs'][direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = replay.line(physical[112 + p], p, -1) + physical = replay.boundary(post, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[112 + p] = replay.line(logical[112 + p], p, 1) + return logical, physical, checks, warps + eb, ed, ef = deepcopy(identity), deepcopy(identity), deepcopy(identity) + for p in selected: + eb[p] = replay.line(identity[112 + p], p, -1) + ed[p] = replay.line(identity[112 + p], p, -1) + replay.add(ed[p], replay.line(identity[p], p, 1), -1) + eb[112 + p] = ed[112 + p] = replay.line(identity[p], p, 1) + query = {} + for q in selected: + replay.add(eb[p], replay.line(identity[q], q, 1), -jmat[p][q]) + replay.add(query, replay.line(identity[112 + q], q, -1), jmat[p][q]) + for q in ordinary: + replay.add(eb[p], identity[112 + q], -jmat[p][q]) + replay.add(query, identity[q], jmat[p][q]) + replay.add(ef[p], replay.line(query, p, -1)) + for p in ordinary: + eb[p] = {key: -c for key, c in identity[112 + p].items()} + replay.add(ed[p], identity[112 + p], -1) + ef[112 + p] = {} + for q in ordinary: + replay.add(eb[p], identity[q], Q(p == q) + pmat[p][q]) + replay.add(ef[112 + p], identity[q], jmat[p][q]) + replay.add(ef[112 + p], identity[112 + q], jmat[p][q]) + for q in selected: + replay.add(eb[p], replay.line(identity[q], q, 1), pmat[p][q]) + replay.add(ef[112 + p], replay.line(identity[112 + q], q, -1), jmat[p][q]) + for p in range(112): + for q in range(112): + src = replay.line(identity[q], q, 1) if q in selected else identity[q] + replay.add(ed[p], src, pmat[p][q]) + for expected in (eb, ed, ef): + for p in range(n, n + 8): + expected[p] = {} + specs = {'balanced_backward': ('backward', [], bs, eb, 170446), + 'diagonal_backward': ('backward', [], ds, ed, 171662), + 'balanced_forward': ('forward', fs, swaps, ef, 171290)} + programs, results = {}, {} + for name, (direction, pre, post, expected, total) in specs.items(): + actual, physical, checks, warps = evaluate(direction, pre, post) + need(actual == expected, 'All 640 ordered columns: ' + name) + need(all(actual[p] == identity[p] for p in range(224, n)), 'All arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned outputs zero without extra cleanup') + if direction == 'backward': + need(all(physical[112 + p] == identity[p] for p in selected), 'Selected productive Y retains original X') + native = item['programs'][direction] + scalar, scans = serial.price(pre + swaps + post) + scalar += replay.core_price(native) + need(scalar == total and not scans, 'Complete scalar bill') + profile = Counter(e[5] for e in native if e[0] == 'climb') + need(dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'No extra native child') + programs[name] = {'orientation': direction, 'prefix': pre, 'input_exchange': swaps, + 'retained_core': native, 'suffix': post, 'owned_cleanup': [], + 'events': pre + swaps + native + post} + results[name] = {'scalar_real_primitives': scalar, 'native_rank_mass': 5073, 'native_children': 3507, + 'native_profile': dict(sorted(profile.items())), 'all_input_columns': 640, + 'arbitrary_helpers_restored': 408, 'private_zero_buffers_restored': 91, + 'owned_private_final_zero': 8, 'owned_query_peak': 8, + 'new_native_children': 0, 'new_private_fields': 0, + 'core_scalar_frame_checks': checks, 'core_warp_events': warps} + print(provider, name, scalar, 5073, flush=True) + packet['providers'][provider] = {'canonical': word, 'programs': programs} + receipt['providers'][provider] = results + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'IRREGULAR-38-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['source_pins'] = packet['source_pins'] + receipt['scope'] = 'Six complete local dyadic words. Eight existing owned queries. No global decoder, owner, precision, or supplier claim.' + (HERE / 'IRREGULAR-38-RECEIPT.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38_unit.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38_unit.py new file mode 100644 index 0000000000..f56fbed514 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_irregular_38_unit.py @@ -0,0 +1,141 @@ +#!/usr/bin/env python3 +"""Place both irregular response-unit maps at the actual full boundary.""" + +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +CORE_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +WORDS_PIN = 'bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801' +RAW_PIN = 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc' +SERIAL_PIN = '7399a1d153197faae5f44f04e0ae3675a6c961d343329419c0c71bdc263bb9d6' +WITNESS_PIN = '0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f' + + +def read_gzip(name, pin): + raw = gzip.decompress((HERE / name).read_bytes()) + assert sha256(raw).hexdigest() == pin + return json.loads(raw) + + +def module(name, filename, pin): + path = HERE / filename + assert sha256(path.read_bytes()).hexdigest() == pin + spec = importlib.util.spec_from_file_location(name, path) + result = importlib.util.module_from_spec(spec) + spec.loader.exec_module(result) + return result + + +def product(a, b): + columns = list(zip(*b)) + return [[sum(x * y for x, y in zip(row, col)) for col in columns] for row in a] + + +def add(t, s, c): + assert t != s and c + return {'kind': 'add', 'target': t, 'source': s, 'coefficient': str(c), 'frame': 1} + + +def main(): + replay = module('irregular_unit_raw', 'emit_raw_selected.py', RAW_PIN) + serial = module('irregular_unit_serial', 'emit_serial_balanced.py', SERIAL_PIN) + core = read_gzip('CLEAN-J-PROGRAMS.json.gz', CORE_PIN) + words = read_gzip('IRREGULAR-38-PROGRAMS.json.gz', WORDS_PIN) + raw = (HERE.parent.parent / 'root/IRREGULAR-SPLIT-20261017.json').read_bytes() + assert sha256(raw).hexdigest() == WITNESS_PIN + witness = json.loads(raw) + selected = set(words['selected_S']) + r = [{int(p): Q(c) for p, c in row.items()} for row in core['R']] + dense_r = [[row.get(p, Q(0)) for p in range(112)] for row in r] + k = [[dense_r[j][p] / 4 for j in range(8)] for p in range(112)] + signs = [-1 if p in selected else 1 for p in range(112)] + ti = [[Q(c) for c in row] for row in witness['T_inverse']] + wi = [[Q(c) for c in row] for row in witness['I_minus_D_inverse']] + ktir, kwir = product(product(k, ti), dense_r), product(product(k, wi), dense_r) + a = [[signs[p] * Q(p == q) + ktir[p][q] for q in range(112)] for p in range(112)] + inv = [[signs[p] * Q(p == q) - signs[p] * kwir[p][q] * signs[q] for q in range(112)] for p in range(112)] + programs, costs = {}, {} + n = 632 + sign_word = [{'kind': 'scale', 'target': p, 'coefficient': '-1', 'frame': 1} for p in sorted(selected)] + for inverse in (False, True): + events = [{'kind': 'clear', 'target': n + i, 'frame': 1} for i in range(8)] + for i, row in enumerate(r): + events += [add(n + i, p, c) for p, c in sorted(row.items())] + for t, s in ((0, 2), (0, 3), (1, 4), (1, 5)): + events.append(add(n + t, n + s, Q(1, 2) if inverse else Q(-1, 4))) + if inverse: + events += [{'kind': 'scale', 'target': n + i, + 'coefficient': str(Q(1, 4) if i < 2 else Q(1, 16)), 'frame': 1} for i in range(8)] + for t, s in ((2, 0), (3, 0), (4, 1), (5, 1)): + events.append(add(n + t, n + s, Q(1, 2) if inverse else Q(-1, 4))) + if not inverse: + events += [{'kind': 'scale', 'target': n + i, 'coefficient': '1/32', 'frame': 1} for i in range(8)] + for i, row in enumerate(r): + events += [add(p, n + i, (1 if inverse else -1) * signs[p] * c) for p, c in sorted(row.items())] + events += [{'kind': 'clear', 'target': n + i, 'frame': 0} for i in range(8)] + name = 'inverse_A' if inverse else 'A' + programs[name] = sign_word + events if inverse else events + sign_word + cost, scans = serial.price(programs[name]) + assert scans == 0 + costs[name] = cost + assert costs == {'A': 7452, 'inverse_A': 7412} + receipt = {'status': 'PASS_FULL_BOUNDARY_IRREGULAR_38_RESPONSE_UNIT', + 'scalar_real_primitives': costs, 'existing_owned_query_peak': 8, + 'new_private_fields': 0, 'new_native_children': 0, 'providers': {}} + for provider, item in words['providers'].items(): + word = item['canonical'] + assert word['final'][:112] == [1] * 112 and len(word['final']) == n + identity = {p: {(p, ()): Q(1)} for p in range(n + 8)} + for name, matrix in (('A', a), ('inverse_A', inv)): + frames = {p: f for p, f in enumerate(word['final'])} + frames.update({n + i: 0 for i in range(8)}) + for e in programs[name]: + t, f = e['target'], e['frame'] + if e['kind'] == 'clear': + assert n <= t < n + 8 + frames[t] = f + else: + assert frames[t] == f == 1 + if e['kind'] == 'add': + assert frames[e['source']] == f and e['source'] != t + assert n <= t < n + 8 or n <= e['source'] < n + 8 + else: + assert e['kind'] == 'scale' and (n <= t < n + 8 or t in selected) + assert all(frames[n + i] == 0 for i in range(8)) + actual = replay.boundary(programs[name], identity, n) + expected = deepcopy(identity) + for p, row in enumerate(matrix): + expected[p] = {(q, ()): c for q, c in enumerate(row) if c} + for p in range(n, n + 8): + expected[p] = {} + assert actual == expected + expected = deepcopy(identity) + for p in range(n, n + 8): + expected[p] = {} + for first, second in (('A', 'inverse_A'), ('inverse_A', 'A')): + assert replay.boundary(programs[first] + programs[second], identity, n) == expected + receipt['providers'][provider] = {'all_input_columns': 640, 'both_literal_inverse_orders': True, + 'arbitrary_helpers_unchanged': 408, 'all_owned_queries_zero_at_I': 8} + packet = {'schema': 'pr3133-irregular-38-full-response-unit-v1', + 'source_pins': {'core': CORE_PIN, 'native_words': WORDS_PIN, 'witness': WITNESS_PIN, + 'raw_replay': RAW_PIN, 'serial_utility': SERIAL_PIN}, + 'selected_S': sorted(selected), 'programs': programs, 'scalar_real_primitives': costs} + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'IRREGULAR-38-RESPONSE-UNIT.json').write_bytes(raw) + receipt['payload_sha256'] = sha256(raw).hexdigest() + receipt['source_pins'] = packet['source_pins'] + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = 'Completed-FULL-X response unit. No partial-view decoder or complete supplier claim.' + (HERE / 'IRREGULAR-38-UNIT-RECEIPT.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], costs) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_serial_balanced.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_serial_balanced.py new file mode 100644 index 0000000000..12718a58ce --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/emit_serial_balanced.py @@ -0,0 +1,241 @@ +#!/usr/bin/env python3 +"""Transfer scalar row factors onto both complete native providers.""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +CORE_PIN = 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa' +REPLAY_PIN = 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc' +FIVE_PIN = 'a16521b290c39468fa491e1da10e5d5ffe6869226563a02ac8146a4feaca0afe' + + +def need(test, label): + if not test: + raise ValueError(label) + + +def load(name, pin): + raw = gzip.decompress((HERE / name).read_bytes()) + need(sha256(raw).hexdigest() == pin, 'Source pin: ' + name) + return json.loads(raw) + + +def factor(r, selected, inverse, upper, offset, frame, n): + ordinary = set(range(112)) - set(selected) + binary, odd = ((16, 3) if len(selected) == 8 else (32, 1)) if inverse else (4, 1) + events = [{'kind': 'clear', 'target': n, 'frame': frame}] + for i, row in enumerate(r): + events += [{'kind': 'add', 'target': n, 'source': offset + p, + 'coefficient': str(c), 'frame': frame} + for p, c in sorted(row.items()) if p in ordinary] + events.append({'kind': 'scale', 'target': n, 'coefficient': str(Q(1, binary)), 'frame': frame}) + if odd > 1: + events.append({'kind': 'divide_odd', 'target': n, 'divisor': odd, 'frame': frame}) + events += [{'kind': 'add', 'target': offset + p, 'source': n, + 'coefficient': str(-c), 'frame': frame} + for p, c in sorted(row.items()) if upper or p in ordinary] + events.append({'kind': 'clear', 'target': n, 'frame': 0 if i == 7 else frame}) + return events + + +def exchange(selected): + result = [] + for p in selected: + for t, s, c in ((p, 112 + p, 1), (112 + p, p, -1), (p, 112 + p, 1)): + result.append({'kind': 'add', 'target': t, 'source': s, 'coefficient': str(c)}) + result.append({'kind': 'scale', 'target': 112 + p, 'coefficient': '-1'}) + return result + + +def price(events): + scalar, scans = 0, 0 + for e in events: + if e['kind'] == 'divide_odd': + need(e['divisor'] == 3, 'Specified odd scan') + scans += 2 + elif e['kind'] == 'clear': + scalar += 2 + else: + c = Q(e['coefficient']) + a, b = abs(c.numerator), c.denominator + need(a and b & (b - 1) == 0, 'Nonzero dyadic scalar') + if e['kind'] == 'scale': + need(a & (a - 1) == 0, 'Dyadic unit SCALE') + scalar += 2 * (abs(a.bit_length() - b.bit_length()) + int(c < 0)) + else: + need(e['kind'] == 'add', 'Known boundary scalar') + scalar += 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + return scalar, scans + + +def boundary(replay, events, state, n): + exact = [] + for event in events: + e = dict(event) + if e['kind'] == 'divide_odd': + need(e['target'] == n and e['divisor'] == 3, 'Owned odd division') + e = {'kind': 'scale', 'target': n, 'coefficient': '1/3'} + exact.append(e) + return replay.boundary(exact, state, n) + + +def check_factor_frames(events, offset, frame, n): + frames = {p: frame for p in range(offset, offset + 112)} + frames[n] = 0 + for e in events: + t, f = e['target'], e['frame'] + if e['kind'] == 'clear': + need(t == n, 'Only owned C0 is cleared') + frames[t] = f + else: + need(frames[t] == f == frame, 'Factor target frame') + if e['kind'] == 'add': + s = e['source'] + need(s != t and frames[s] == f, 'Factor source frame') + need(n in (s, t), 'Serial C0 factor ADD') + else: + need(t == n, 'Only the private query is scaled') + need(frames[n] == 0 and sum(e['kind'] == 'clear' for e in events) == 9, 'Nine owned clears, final I') + + +def main(): + replay_path = HERE / 'emit_raw_selected.py' + need(sha256(replay_path.read_bytes()).hexdigest() == REPLAY_PIN, 'Frozen native replay') + spec = importlib.util.spec_from_file_location('serial_native_replay', replay_path) + replay = importlib.util.module_from_spec(spec) + spec.loader.exec_module(replay) + core, five = load('CLEAN-J-PROGRAMS.json.gz', CORE_PIN), load('BALANCED-FIVE-MINOR-PROGRAMS.json.gz', FIVE_PIN) + r = [{int(p): Q(c) for p, c in row.items()} for row in core['R']] + gram = {p: {q: sum(row.get(p, 0) * row.get(q, 0) for row in r) / 4 for q in range(112)} for p in range(112)} + j = {p: {q: Q(p == q) - gram[p][q] for q in range(112)} for p in range(112)} + packet = {'schema': 'pr3133-serial-balanced-native-words-v1', + 'source_pins': {'core': CORE_PIN, 'native_replay': REPLAY_PIN, 'five_minor_words': FIVE_PIN}, + 'families': {}} + receipt = {'status': 'PASS_PR3133_SERIAL_BALANCED_WORDS', 'families': {}} + for name, selected in (('one_minor', five['selected_minors'][0]), ('five_minors', five['selected_S'])): + selected = sorted(selected) + ordinary = [p for p in range(112) if p not in selected] + lam = 14 - len(selected) // 8 + need(all(sum(row.get(p, 0) * col.get(p, 0) for p in ordinary) == (4 * lam if i == k else 0) + for i, row in enumerate(r) for k, col in enumerate(r)), 'Actual ordinary row Gram matrix') + h = {p: {q: j[p][q] for q in ordinary} for p in ordinary} + hi = {p: {q: Q(p == q) - gram[p][q] / (lam - 1) for q in ordinary} for p in ordinary} + family, reports = {'selected_S': selected, 'ordinary_U': ordinary, 'lambda': lam, 'providers': {}}, {} + for provider, item in core['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(n == 632 and len(word['zero_buffers']) == 91, 'Exact provider') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Actual factor endpoints') + identity = {p: {(p, ()): Q(1)} for p in range(n + 8)} + fs = factor(r, selected, False, False, 112, 0, n) + bs = factor(r, selected, True, False, 0, 1, n) + ds = factor(r, selected, True, True, 0, 1, n) + for events, offset, frame in ((fs, 112, 0), (bs, 0, 1), (ds, 0, 1)): + check_factor_frames(events, offset, frame, n) + for events, matrix, offset in ((fs, h, 112), (bs, hi, 0)): + actual = boundary(replay, events, identity, n) + expected = deepcopy(identity) + for p in ordinary: + expected[offset + p] = {(offset + q, ()): c for q, c in matrix[p].items() if c} + expected[n] = {} + need(actual == expected, 'Exact serial ordinary factor') + swaps = exchange(selected) + cleanup = [{'kind': 'clear', 'target': n + p} for p in range(1, 8)] + def evaluate(direction, pre, post): + physical = deepcopy(identity) + for p in range(112): + physical[p] = replay.line(physical[p], p, 1) + physical = boundary(replay, pre + swaps, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = replay.line(logical[p], p, -1) + logical, checks, warps = replay.core_replay(item['programs'][direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = replay.line(physical[112 + p], p, -1) + physical = boundary(replay, post + cleanup, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[112 + p] = replay.line(logical[112 + p], p, 1) + return logical, physical, checks, warps + eb, ed, ef = deepcopy(identity), deepcopy(identity), deepcopy(identity) + for p in selected: + eb[p] = replay.line(identity[112 + p], p, -1) + ed[p] = replay.line(identity[112 + p], p, -1) + replay.add(ed[p], replay.line(identity[p], p, 1), -1) + eb[112 + p] = ed[112 + p] = replay.line(identity[p], p, 1) + query = {} + for q in selected: + replay.add(eb[p], replay.line(identity[q], q, 1), -j[p][q]) + replay.add(query, replay.line(identity[112 + q], q, -1), j[p][q]) + for q in ordinary: + replay.add(eb[p], identity[112 + q], -j[p][q]) + replay.add(query, identity[q], j[p][q]) + replay.add(ef[p], replay.line(query, p, -1)) + for p in ordinary: + eb[p] = {key: -c for key, c in identity[112 + p].items()} + replay.add(ed[p], identity[112 + p], -1) + ef[112 + p] = {} + for q in ordinary: + replay.add(eb[p], identity[q], hi[p][q]) + replay.add(ef[112 + p], identity[q], h[p][q]) + replay.add(ef[112 + p], identity[112 + q], h[p][q]) + for q in selected: + replay.add(eb[p], replay.line(identity[q], q, 1), -gram[p][q] / (lam - 1)) + replay.add(ef[112 + p], replay.line(identity[112 + q], q, -1), j[p][q]) + for p in range(112): + for q in range(112): + src = replay.line(identity[q], q, 1) if q in selected else identity[q] + replay.add(ed[p], src, -gram[p][q] / (lam - 1)) + for expected in (eb, ed, ef): + for p in range(n, n + 8): + expected[p] = {} + specs = {'balanced_backward': ('backward', [], bs, eb), + 'diagonal_backward': ('backward', [], ds, ed), + 'balanced_forward': ('forward', fs, swaps, ef)} + programs, result = {}, {} + for variant, (direction, pre, post, expected) in specs.items(): + actual, physical, checks, warps = evaluate(direction, pre, post) + need(actual == expected, 'All 640 ordered columns: ' + name + ' ' + variant) + need(all(actual[p] == identity[p] for p in range(224, n)), 'All arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'Owned outputs zero') + if direction == 'backward': + need(all(physical[112 + p] == identity[p] for p in selected), 'Selected productive Y keeps original X') + native = item['programs'][direction] + old, scans = price(pre + swaps + post + cleanup) + old += replay.core_price(native) + profile = Counter(e[5] for e in native if e[0] == 'climb') + need(dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'No new native child') + programs[variant] = {'orientation': direction, 'prefix': pre, 'input_exchange': swaps, + 'retained_core': native, 'suffix': post, 'owned_cleanup': cleanup, + 'events': pre + swaps + native + post + cleanup} + result[variant] = {'scalar_real_primitives': old, 'additional_real_divide_by_3_scans': scans, + 'native_profile': dict(sorted(profile.items())), 'native_rank_mass': 5073, + 'native_children': 3507, 'new_native_children': 0, 'new_private_fields': 0, + 'all_input_columns': 640, 'arbitrary_helpers_restored': 408, + 'private_zero_buffers_restored': 91, 'owned_private_final_zero': 8, + 'core_scalar_frame_checks': checks, 'core_warp_events': warps} + print(name, provider, variant, old, scans, flush=True) + family['providers'][provider] = {'canonical': word, 'programs': programs} + reports[provider] = result + packet['families'][name], receipt['families'][name] = family, reports + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + (HERE / 'SERIAL-BALANCED-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt['payload_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['source_pins'] = packet['source_pins'] + receipt['scope'] = ('Twelve complete native words. Odd division is recorded separately, with no invented old-primitive cost. ' + 'The exact odd-grid implementation, global controller, precision, hosting and supplier bill remain separate.') + (HERE / 'SERIAL-BALANCED-RECEIPT.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status'], receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/CANONICAL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..b40731ccac Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/CANONICAL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/FULL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/FULL-WORD.json.gz new file mode 100644 index 0000000000..940e593f34 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/FULL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-CHECKS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-CHECKS.json new file mode 100644 index 0000000000..f2f8bf3675 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-CHECKS.json @@ -0,0 +1,40 @@ +{ + "forward": { + "sha256": "01cbb13c6b23c3d97c45dd86d85771af9da11b942d693f2ee19e4520c95bd876", + "events": 22764, + "scalar_macros": 17449, + "warp_events": 240, + "real_component_primitive_bound": 158148, + "paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + }, + "backward": { + "sha256": "a86a5f32c81981426194d62924f03524b63972f927a142ab96ad74732f1994d9", + "events": 22764, + "scalar_macros": 17449, + "warp_events": 240, + "real_component_primitive_bound": 158196, + "paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-PROGRAMS.json.gz new file mode 100644 index 0000000000..aa5b144633 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/LOCAL-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/SCALAR-FRAME-AUDIT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/SCALAR-FRAME-AUDIT.json new file mode 100644 index 0000000000..937fe92e06 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-base/SCALAR-FRAME-AUDIT.json @@ -0,0 +1,438 @@ +{ + "status": "PASS_BORROW_WORD_FREE_ALGEBRA_ALL_COLUMNS_AND_NATIVE_FRAMES", + "input_content_sha256": "49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e", + "canonical_content_sha256": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "live_columns_each_orientation": 632, + "helpers": 408, + "original_helpers": 480, + "removed_helpers": 72, + "zero_buffers": 91, + "warps": 72, + "warp_events": 240, + "initial_corrections": 36, + "scalar_operations": 17425, + "local_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, 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Physical Clifford exactness of every warp is checked by the local replay and the phase recipes." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..d4ab5a94fe Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/CANONICAL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/FULL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/FULL-WORD.json.gz new file mode 100644 index 0000000000..769b852cc2 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/FULL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-CHECKS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-CHECKS.json new file mode 100644 index 0000000000..f2f8bf3675 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-CHECKS.json @@ -0,0 +1,40 @@ +{ + "forward": { + "sha256": "01cbb13c6b23c3d97c45dd86d85771af9da11b942d693f2ee19e4520c95bd876", + "events": 22764, + "scalar_macros": 17449, + "warp_events": 240, + "real_component_primitive_bound": 158148, + "paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + }, + "backward": { + "sha256": "a86a5f32c81981426194d62924f03524b63972f927a142ab96ad74732f1994d9", + "events": 22764, + "scalar_macros": 17449, + "warp_events": 240, + "real_component_primitive_bound": 158196, + "paid_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "all_columns": 632, + "private_centers_cleared": true, + "private_coefficient_stream_cleared_after_each_macro": true, + "zero_buffers_returned_to_zero": 91 + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-PROGRAMS.json.gz new file mode 100644 index 0000000000..aa5b144633 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/LOCAL-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/SCALAR-FRAME-AUDIT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/SCALAR-FRAME-AUDIT.json new file mode 100644 index 0000000000..7ed17d1bcd --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/native-original-extra/SCALAR-FRAME-AUDIT.json @@ -0,0 +1,438 @@ +{ + "status": "PASS_BORROW_WORD_FREE_ALGEBRA_ALL_COLUMNS_AND_NATIVE_FRAMES", + "input_content_sha256": "34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731", + "canonical_content_sha256": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "live_columns_each_orientation": 632, + "helpers": 408, + "original_helpers": 480, + "removed_helpers": 72, + "zero_buffers": 91, + "warps": 72, + "warp_events": 240, + "initial_corrections": 36, + "scalar_operations": 17425, + "local_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20, + "8": 8 + }, + "local_rank_mass": 5137, + "widths": [ + 9, + 9, + 8, + 9, + 8, + 9, + 8, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 7, + 9, + 7, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 7, + 9, + 7, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 4, + 9, + 9, + 9, + 9, + 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Physical Clifford exactness of every warp is checked by the local replay and the phase recipes." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/probe_cut.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/probe_cut.py new file mode 100644 index 0000000000..d238a2e853 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/probe_cut.py @@ -0,0 +1,103 @@ +#!/usr/bin/env python3 +"""Read the candidate cut without importing source code.""" +from pathlib import Path +from fractions import Fraction +import gzip +import json +import hashlib + +HERE = Path(__file__).resolve().parent +INTERFACE = HERE.parent / 'circuit-interface' / 'INTERFACE.json' +WORDS = HERE.parents[1] / 'upstream-refresh-20261017' / 'pr3148' / 'research' / 'coupled-carrier-cap740' / 'words' + + +def add(row, other, q): + for key, value in other.items(): + value = row.get(key, 0) + q * value + if value: + row[key] = value + else: + row.pop(key, None) + + +def step(rows, gate): + op, target = gate[:2] + if op == 'add': + add(rows[target], rows[gate[2]], Fraction(gate[3], gate[4])) + elif op == 'scale': + q = Fraction(gate[2], gate[3]) + rows[target] = {key: q * v for key, v in rows[target].items()} + elif op == 'warp': + symbol = gate[2] + rows[target] = { + (source, word[:-1] if word and word[-1] == -symbol else word + (symbol,)): v + for (source, word), v in rows[target].items() + } + else: + raise ValueError(op) + + +def chronological(w): + at = {} + for number, gate in enumerate(w['warps'], 1): + at.setdefault(gate[0], []).append(['warp', gate[1], number]) + result = [] + for index in range(len(w['B']) + 1): + result.extend(at.get(index, [])) + if index < len(w['B']): + result.append(w['B'][index]) + return result + + +def encode(row): + return [[key[0], list(key[1]), str(v)] for key, v in sorted(row.items())] + + +def main(): + old = json.loads(INTERFACE.read_text()) + reports = {} + for name in ['base', 'extra']: + raw = gzip.decompress((WORDS / (name + '.json.gz')).read_bytes()) + require = {'base': '49bdc172f1f53253c15fa4bf5be2d5741701d2fe9d18943f8b79c3ded0b96a3e', 'extra': '34af6f955bf8d95f68868cc282fa739532a5a6117df50d753fd996d44cea6731'} + if hashlib.sha256(raw).hexdigest() != require[name]: + raise RuntimeError('Source word pin') + w = json.loads(raw) + live = sorted(set(range(704)) - set(w['removed'])) + rows = {r: {(r, ()): Fraction(1)} for r in live} + for gate in w['A']: + if not 112 <= gate[1] < 224: + step(rows, gate) + center = [rows[r] for r in w['centers']] + source = [{str(k): str(v) for (k, word), v in row.items() if k < 112 and not word} for row in center] + helper = [{str(k): str(v) for (k, word), v in row.items() if k >= 224 and not word} for row in center] + mixed_words = [encode({key: v for key, v in row.items() if key[1]}) for row in center] + response = {r: {} for r in live} + for gate in w['cut']: + add(response[gate[1]], {(w['centers'].index(gate[2]), ()): Fraction(1)}, Fraction(gate[3], gate[4])) + for gate in chronological(w) + w['restore'] + w['cleanup']: + if 112 <= gate[1] < 224: + step(response, gate) + krows = [{str(k): str(v) for (k, word), v in response[112 + p].items()} for p in range(112)] + expected = [{str(i): str(Fraction(old['R'][i].get(str(p), '0')) / 4) for i in range(8) if old['R'][i].get(str(p), '0') != '0'} for p in range(112)] + report = { + 'payload_sha256': hashlib.sha256(raw).hexdigest(), + 'ports_equal': w['ports'] == old['ports'], + 'R_equal': source == old['R'], + 'H_equal': helper == old['H'], + 'K_equal_R_transpose_over_4': krows == expected, + 'center_R': source, + 'center_H': helper, + 'center_operator_terms': mixed_words, + 'target_K': krows, + 'private_cold_roles': sorted(map(int, w['helper_final'])), + 'centers': w['centers'], + 'center_frames': w['center_frames'], + 'live': live, + } + reports[name] = report + print(name, {key: value for key, value in report.items() if key.endswith('_equal') or key in ['ports_equal', 'K_equal_R_transpose_over_4']}, 'word terms', [len(x) for x in mixed_words], 'R/H terms', [sum(len(x) for x in source), sum(len(x) for x in helper)]) + (HERE / 'CUT-PROBE.json').write_text(json.dumps(reports, indent=2) + '\n') + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/FREEZE.json new file mode 100644 index 0000000000..665aa29f6d --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/FREEZE.json @@ -0,0 +1,24 @@ +{ + "artifacts": { + "HANDOFF.md": "841d648b923561fad88cabd73f00f11569cde52f17716435232e5eb3c98a9aa6", + "NATIVE-GEOMETRY-BRIDGE.json": "cc755cc981c647aa48879ebb55fb3e0b1ca15a5783510c3d0c4c2ece0848ea86", + "SCALED-TRANSFER.md": "63c1d924f5612d14a87b592a8975e1ba33aac67d084b7e9ce925e077883f1911", + "STRUCTURED-TRANSFER.md": "13f1488dfa917628eb7c9d47d297cf93dab17e9c15e67663c1ae1d61f3ccdd99", + "emit_structured_transfer.py": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "original-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz": "222c41a66acf802340498f1466a4e7b415a3a6de497436eb8bc9baa115ad798d", + "original-normal/STRUCTURED-TRANSFER-RECEIPT.json": "eb1e404cd3bcbeca4370c6066ec52d03523d32f8df32ca4613be2b5ea5b0cc30", + "original-optimized/STRUCTURED-TRANSFER-PROGRAMS.json.gz": "222c41a66acf802340498f1466a4e7b415a3a6de497436eb8bc9baa115ad798d", + "original-optimized/STRUCTURED-TRANSFER-RECEIPT.json": "eb1e404cd3bcbeca4370c6066ec52d03523d32f8df32ca4613be2b5ea5b0cc30", + "scaled-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz": "44c79d4e7b25bbb84e83679cb9db536e1518341ab76d18606ca9aa981f985cfb", + "scaled-normal/STRUCTURED-TRANSFER-RECEIPT.json": "5c2464c3133e0c5dd5253a947ab24565fc1b4ac5586ad93b2417182947852d57", + "scaled-optimized/STRUCTURED-TRANSFER-PROGRAMS.json.gz": "44c79d4e7b25bbb84e83679cb9db536e1518341ab76d18606ca9aa981f985cfb", + "scaled-optimized/STRUCTURED-TRANSFER-RECEIPT.json": "5c2464c3133e0c5dd5253a947ab24565fc1b4ac5586ad93b2417182947852d57" + }, + "payload_decompressed_sha256": { + "original": "334ae2c970d591fd2999d4472dea2add296c978d5e7479b69210e4c3d05f76ff", + "scaled": "ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b" + }, + "schema": "structured-centres-physical-transfer-freeze-v1", + "scope": "Two complete local physical implementations, with original and scaled coherent gauges. Independent new-transfer review is a separate artifact. No complete supplier or kappa claim.", + "validation": "Normal and python -O receipts and payloads are byte-identical in both implementations. All640 input columns,91 zero buffers,408 arbitrary helpers, all frames, owned restoration and complete scalar bills pass." +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/HANDOFF.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/HANDOFF.md new file mode 100644 index 0000000000..1248d514df --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/HANDOFF.md @@ -0,0 +1,47 @@ +# Structured-centre physical transfer + +The original and scaled coherent implementations are complete as local +physical words. Both normal and optimized runs pass. Each implementation +contains six variants for each of the two source providers. The scaled +implementation is the cheaper one: + +```text +balanced backward: 91208 scalar, mass5073 +diagonal backward: 91592 scalar, mass5073 +normalized backward: 96012 scalar, mass5073 +balanced forward: 91830 scalar, mass5073 +``` + +Every complete word checks all 640 input columns and all 91 private zero +buffers. It restores 408 arbitrary helpers and leaves all eight owned +fields zero. The 64-port scalar factor and its literal inverse cost +2,048 each, including 32 field exchanges. The selected set has 24 ports. + +Read `STRUCTURED-TRANSFER.md` for the exact interface and the first +implementation. Read `SCALED-TRANSFER.md` for the coherent scale change. +Use `original-normal/` and `scaled-normal/` for the final payloads. +Their optimized-run copies are byte-identical. The earlier `run-*` and +`final-normal/` directories are preserved preliminary evidence. They +are not the final receipt paths. + +The source native records are unchanged. The two actual canonical words +also equal the words pinned by `new-native-recipes-20261017/FREEZE.json`. +The forward and literal-dual backward phase recipes from that packet +remain the native dependency. The new physical transfer has been sent +to that lane for independent reverse replay. Record its later review +as a separate artifact; do not rewrite this frozen producer evidence. + +The following obligations remain outside this result: routed-stage code +transport, caller exterior phase, storage hosting, recursive precision, +and the complete supplier bill. Do not claim a full supplier or a kappa +improvement from these local words. + +The controller lane has a new signed-response S8 candidate. It is a +separate response, not a smaller restriction of this emitted S24 word. +Before a transfer, obtain its frozen actual response, native payload, +ordinary inverse, data inverse, and selected set. Recheck the 64-port +block before reusing its scalar factor. + +The publication hold remains in force. Do not create a PR, commit, or +push. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/NATIVE-GEOMETRY-BRIDGE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/NATIVE-GEOMETRY-BRIDGE.json new file mode 100644 index 0000000000..1370c79225 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/NATIVE-GEOMETRY-BRIDGE.json @@ -0,0 +1,18 @@ +{ + "phase_inputs": { + "independent-review-20261017/FREEZE-NEW-CORE-NATIVE.json": "b622008e667df7e2981131f9d3c132aec310b0b59d43ab4d2ed52bc42bb78d79", + "independent-review-20261017/NEW-CORE-NATIVE-REVIEW.md": "cc1bc4efe1f35cbd405bc1c819a7bb3dc4bae7fcd5964e396ed1a45cd4fc6d7a", + "new-native-recipes-20261017/FREEZE.json": "928c29f5949cddafa3510fe0f95c8b400022ee37410d512c2dcef207bfda2f27" + }, + "providers": { + "base": { + "canonical_equal_to_phase_provider": true, + "phase_canonical_compressed_sha256": "d5e55b5e62c7728a10599c95ede14b25c291bb9f140ebff5c1d068261a8c7b8b" + }, + "extra": { + "canonical_equal_to_phase_provider": true, + "phase_canonical_compressed_sha256": "a75c5ede11517f21fda825d3b84088c592d2cec7fa74fd77efa9a1e3aab8bc4b" + } + }, + "status": "PASS_EXACT_NATIVE_GEOMETRY_BRIDGE" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/SCALED-TRANSFER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/SCALED-TRANSFER.md new file mode 100644 index 0000000000..062915cd7d --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/SCALED-TRANSFER.md @@ -0,0 +1,76 @@ +# The same physical interface with scaled-query gauges + +This version keeps the maps and native words in `STRUCTURED-TRANSFER.md`. +It binds the separate coherent gauge source in +`controller-followthrough-20261017/structured-centres/GAUGES-V2-FREEZE.json`, +whose SHA-256 is +`deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733`. +The new gauge receipt has SHA-256 +`6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c`. +The first physical-transfer packet and its source remain unchanged. + +Put the dyadic scale on C0 before each signed-unit scatter. For H, scale +the query by `1/2`, scatter, then scale C0 by `-4` before subtracting the +updated query. For H inverse use `1/4`, then `-2`. For the two full data +maps use `1/4`, then `4`. These changes preserve coherent restoration: +each query returns to zero by exact subtraction from the current data. +They do not use CLEAR to erase a nonzero query. + +The source checks all gauge maps independently and proves that the maps +equal the preceding gauges. Its 48-port costs are now 1,172 for H, +1,172 for H inverse, and 2,368 for each full data map. The complete +physical transfer also replays these actual scalar words. + +The fused selected update in the backward inverse uses the scaled C0 +already present. Its 48 extra ADDs now have signed-unit coefficients. +Thus it adds 384 primitives. This still implements +`-K_S^T K_U X_U/4` at the same point as the preceding version. + +The complete bills are: + +| Operation | Scalar primitives | +| --- | ---: | +| H on current ordinary Y, with admission | 3,222 | +| H inverse on completed ordinary X, with frame resets | 3,224 | +| H inverse with selected upper update | 3,608 | +| Full data map or inverse on completed X | 4,420 | +| Balanced backward native word | 91,208 | +| Diagonal backward native word | 91,592 | +| Diagonal backward word with full data inverse | 96,012 | +| Balanced forward native word | 91,830 | + +Each native word still has rank mass 5,073 and 3,507 native children. +It uses no new native child or private field. The complete words restore +408 arbitrary helpers and all 91 private zero buffers, and leave all +eight owned fields zero. All 640 formal input columns pass on each +provider. The checker also requires C0 to be zero before each later +frame-reset CLEAR, executes both literal full-data inverse orders, and +checks the normalized backward word as one complete native computation. + +The raw backward and forward words are unchanged at 87,984 and 88,608. +The physical Q order, the selected source identity on productive Y, +and all local interface formulas are the same as in the first packet. + +Run with new output directories: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py --gauges scaled --out-dir /tmp/structured-scaled-normal +python3 -O work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py --gauges scaled --out-dir /tmp/structured-scaled-optimized +``` + +Each run must end with `PASS_STRUCTURED_CENTRES_PHYSICAL_TRANSFER` and +payload hash +`ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b`. +Normal and optimized runs must give byte-identical receipts and payloads. + +The scale-placement change was proposed in this lane. The controller +lane emitted and proved the coherent gauge words. This packet binds +those words to the complete physical interface and checks both native +providers. The source and earlier interface credit in +`STRUCTURED-TRANSFER.md` also applies. This is AI-assisted research. + +This result does not prove routed-stage code transport, caller exterior +phase, complete precision, storage hosting, or the supplier recurrence. +It makes no complete kappa claim. No PR, commit, or push is part of this +work. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/STRUCTURED-TRANSFER.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/STRUCTURED-TRANSFER.md new file mode 100644 index 0000000000..82811bad10 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/STRUCTURED-TRANSFER.md @@ -0,0 +1,289 @@ +# A physical 24-port interface for the structured centre core + +The complete local words use the new structured response from +`controller-followthrough-20261017/structured-centres`. They select 24 +ports, use no new native child, and retain the native rank mass 5,073. +The backward word costs 91,368 real scalar primitives. Its variant with +a diagonal borrowed-source block costs 91,944. The forward word costs +91,894. These bills include all selected exchanges, both parts of each +scalar gauge, and the owned-field admission and frame resets. + +The full original-X response of the diagonal backward word is a dyadic +unit. An emitted scalar inverse on the completed X bank costs 4,740. +The complete backward word with this inverse costs 96,684. Its original-X +response is exactly `diag(Q_S,I_U)`. This statement includes the actual +physical Q operators in their original order. + +This packet proves a local interface. It does not supply a decoder +between routed stages or a complete supplier. It gives no change to the +complete kappa bound. + +## Source, representation, and sign + +The source freeze has SHA-256 +`5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19`. +Its native payload has decompressed SHA-256 +`2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1`. +The source response is + +```text +E = E_64 direct-sum (-I_48 + K^T K/2), +E_64^2 = 4I_64, +K K^T = 12I_8. +``` + +Select the first three of the six orthogonal eight-port minors in the +source receipt. Call these 24 ports `S`. Call the other 88 ports `U`. +The set `U` contains 24 centre ports and all 64 Hadamard ports. Each +restricted centre row has six signed unit entries on each side. + +The emitted core uses `J=-E`. The checker changes the signs at exactly +184 scalar transfer sites in each orientation. The paired backward site +is the literal transpose of the corresponding forward site. All native +records and all other scalar records are unchanged. Both orientations +still cost 87,360 scalar primitives. The full replay proves + +```text +forward: (x,y) -> (x, y + Jx), +backward: (x,y) -> (x - Jy, y). +``` + +Each `Q_p` is the actual port operator. Write `Q_S` for their diagonal +action on selected coordinates, and write `q_S=Q_S^-1`. The physical +input convention is `X_p=Q_p x_p` and `Y_p=y_p`. At the completed output, +after the common FULL frame is factored out, the physical convention is +`X_p=x'_p` and `Y_p=Q_p^-1 y'_p`. The checker inserts these conversions +explicitly. It cancels only adjacent inverse operators on the same port. +It does not commute a Q operator through a scalar coordinate map. + +## An explicit scalar word on the other 64 ports + +The Hadamard part has eight pairs of four-port groups. The checker derives +each pair directly from the actual response support. It orders the second +group so that the negative response between the two groups is + +```text +T = [ 1 -1 -1 -1 ] + [-1 -1 1 -1 ] + [-1 1 -1 -1 ] + [-1 -1 -1 1 ]. +``` + +On four fields, use the pairs `(0,1),(2,3),(0,2),(1,3)` with respective +signs `d=-1,1,-1,1`. For each pair perform + +```text +a += d*b +b *= 2 +b -= d*a +``` + +This sends `(a,b)` to `(a+d*b,b-d*a)` and costs 18 primitives. After +the four pair operations, negate fields 1 and 2. The result is `T` and +the cost is `4*18+4=76`. + +Apply this word to both groups. Then exchange their four corresponding +physical fields. Each exchange is the literal word + +```text +a += b +b -= a +a += b +b *= -1 +``` + +It costs 26 primitives. Thus the full 64-port word costs +`16*76+32*26=2048`. No field exchange is free or implicit. Its matrix is +`-E_64`. Reverse the complete scalar word, negate each ADD coefficient, +and replace each SCALE coefficient by its reciprocal. This gives the +literal inverse `-E_64/4`, also at cost 2,048. Exact replay checks both +inverse orders on all data and owned fields. + +## The ordinary gauge and the physical boundary + +Partition `J` by `S,U`: + +```text +J = [J_SS J_SU] + [J_US H ]. +``` + +On the 24 ordinary centre ports, + +```text +H = I - K_U^T K_U/2, +H^-1 = I - K_U^T K_U/4. +``` + +On the other 64 ports use the exact words above. The resulting complete +`H` and `H^-1` are dyadic inverses on all 88 ordinary ports. The checker +proves both matrix inverse orders and the actual scalar maps. + +Use the pinned, coherent serial gauges from `RANK8-GAUGES.json` on the +centre ports. Their unmodified costs are 1,236 for H and 1,332 for its +inverse. They copy into a zero C0, compute a query, scatter it, and +subtract the updated query to restore C0 to zero. The physical binder +admits C0 with one CLEAR. For a FULL-frame word it also resets the zero +C0 to the initial frame with one final CLEAR. The checker requires C0 +to be zero before this final reset. It does not erase a data-dependent +query to make the gauge pass. + +The complete Y gauge costs `1236+2048+2=3286`. The complete FULL-X inverse +gauge costs `1332+2048+4=3384`. + +Each selected physical exchange costs 26, so a full pass on S costs 624. +Let the original logical input be `x=(a,u)`, `y=(b,v)`. A selected input +exchange, followed by the backward native core, gives + +```text +X_S = q_S b - J_SS Q_S a - J_SU v, +X_U = u - J_US Q_S a - H v, +Y_S = Q_S a, +Y_U = v. +``` + +Postcompose with `H^-1` on FULL X_U. The complete balanced backward word +then gives + +```text +X_S = q_S b - J_SS Q_S a - J_SU v, +X_U = H^-1 u - v - H^-1 J_US Q_S a, +Y_S = Q_S a, +Y_U = v. +``` + +In physical coordinates, selected productive Y is exactly the common +FULL transform of the original `a`. The bill is `87360+624+3384=91368`. +The word reads only the present input before the native core and the +completed X bank after it. It does not read an old Y query at the end. + +For the forward word, apply H to the current ordinary Y bank in the +initial frame. Then do a selected input exchange, the forward native +core, and a selected output exchange. The resulting map is + +```text +X_S = a + q_S (J_SS q_S b + J_SU u), +X_U = u, +Y_S = b, +Y_U = H(u+v) + J_US q_S b. +``` + +Its bill is `87360+2*624+3286=91894`. Both selected exchange passes are +physical operations. The first and last use the initial and FULL frames, +respectively. + +## A diagonal borrowed-source block and a full data inverse + +After the balanced backward map, apply + +`X_S -= J_SU X_U`. + +Only the 48-port centre block has a cross term. Since +`K_U H^-1=-K_U/2`, the extra selected update can use the same six-entry +query that the serial H inverse already holds in C0. Scatter +`-K_S^T C0/4` to the selected X ports before the query is restored. This +adds 48 ADDs with coefficient magnitude `1/4`, at cost 576. The source +query restoration remains valid because it reads only U. The complete +fused suffix costs 3,960. + +Let `P` be minus one on S and plus one on the 24 ordinary centre ports. +Define the full data map + +```text +A_48 = P - K^T K/4, +A_64 = -E_64/4, +A = A_64 direct-sum A_48, +L = diag(Q_S,I_U), +D = diag(q_S,-I_U). +``` + +The complete diagonal backward word is + +```text +X' = A L x + D y, +Y'_S = Q_S a, +Y'_U = v. +``` + +Thus the coefficient of the original borrowed Y bank in X is exactly +diagonal. Its bill is `87360+624+3960=91944`. + +The source proves and emits + +```text +A_48^-1 = P + P K^T K P/4. +``` + +On the 64-port block the inverse is `-E_64`. Bind the source 48-port data +inverse to FULL X and append the actual 64-port word. The complete scalar +inverse costs `2688+2048+4=4740`. The checker executes both literal inverse +orders, including C0 restoration. It also executes the entire native +diagonal backward word followed by this suffix. On all 640 input columns +the result is + +```text +X'' = L x + A^-1 D y, +Y''_S = Q_S a, +Y''_U = v. +``` + +The checker separately extracts all original-X columns and verifies that +they are exactly `L`. The complete cost is `91944+4740=96684`. + +## Exact checks and limits + +The payload contains six complete words for each of the two providers: + +| Word | Scalar primitives | Native rank mass | +| --- | ---: | ---: | +| Raw backward | 87,984 | 5,073 | +| Balanced backward | 91,368 | 5,073 | +| Diagonal backward | 91,944 | 5,073 | +| Normalized backward | 96,684 | 5,073 | +| Raw forward | 88,608 | 5,073 | +| Balanced forward | 91,894 | 5,073 | + +Each complete word checks all 640 formal input columns: 224 data fields, +408 arbitrary borrowed helpers, and eight arbitrary owned fields. It +restores every helper, restores all 91 private zero buffers, and leaves +all eight owned fields zero. All scalar frame constraints, every warp, +every native climb, and all private-buffer lifetimes are checked. The +native profile is `2433H1+724H2+228H3+102H4+20H5`: 3,507 children. The +scalar gauges use only the already owned C0. They add no native child, +child wrapper, private field, or helper access. + +The native phase dependency is the unchanged source geometry and the +orientation-specific recipes in `new-native-recipes-20261017`. Backward +uses the literal-dual lowering already established for that provider. +The present checker proves that all native records are unchanged. It +does not rerun the lower-level Pauli and Gaussian-state phase verifier. +An independent review of this new physical transfer is a separate +artifact; it is not inferred from the older core review. + +All matrices and all operator coefficients use exact fractions. Normal +and optimized Python runs must give byte-identical payloads and receipts. +The checker has no assertion that can disappear under `python3 -O`. +Run it with a new output directory each time: + +```text +python3 work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py --out-dir /tmp/structured-transfer-normal +python3 -O work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py --out-dir /tmp/structured-transfer-optimized +``` + +Each run must end with `PASS_STRUCTURED_CENTRES_PHYSICAL_TRANSFER` and +payload hash +`334ae2c970d591fd2999d4472dea2add296c978d5e7479b69210e4c3d05f76ff`. +The checker rejects an existing output directory. The local freeze pins +the proof, checker, source pins, payload, and receipt. + +The supplier still needs code transport between routed views, a caller +exterior phase proof, storage and hosting rules, a complete precision +bound, and the full recursive bill. An invertible local response does +not discharge these obligations. + +This work builds on the structured response and coherent centre gauges +from the controller-followthrough lane, the response-space construction +from the oblique-native lane, and the earlier physical exchange and +native replay work in this lane. It is AI-assisted research. No PR, +commit, or push is part of this packet. Before any future PR description, +read `/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py new file mode 100644 index 0000000000..75f2d90414 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/emit_structured_transfer.py @@ -0,0 +1,473 @@ +#!/usr/bin/env python3 +"""Bind the structured response to physical selected-port interfaces.""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parent +SOURCE = LANE.parent / 'controller-followthrough-20261017' / 'structured-centres' +PINS = { + 'source_freeze': '5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19', + 'source_payload': '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1', + 'source_gauges': '27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930', + 'source_receipt': '7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc', + 'native_replay': 'a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc', +} +SCALED_GAUGE_FREEZE = 'deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733' +SCALED_GAUGE_PIN = '6b2e61547261ef28c8f08a29bc0cf5f681fe44ab6676e9530cc411c35d36a65c' + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, 'Pinned input: ' + str(path)) + return json.loads(raw) + + +def scalar(kind, target, source=None, coefficient=None, frame=0): + event = {'kind': kind, 'target': target, 'frame': frame} + if source is not None: + event['source'] = source + if coefficient is not None: + event['coefficient'] = str(coefficient) + return event + + +def swap(left, right, frame): + return [scalar('add', left, right, F(1), frame), + scalar('add', right, left, F(-1), frame), + scalar('add', left, right, F(1), frame), + scalar('scale', right, coefficient=F(-1), frame=frame)] + + +def exchange(selected, frame): + return [event for port in selected for event in swap(port, 112 + port, frame)] + + +def inverse_word(events): + output = [] + for event in reversed(events): + event = dict(event) + coefficient = F(event['coefficient']) + need(event['kind'] in ('add', 'scale'), 'Invertible scalar word') + event['coefficient'] = str(-coefficient if event['kind'] == 'add' else 1 / coefficient) + output.append(event) + return output + + +def price(events): + result = 0 + for event in events: + if event['kind'] in ('copy', 'clear'): + result += 2 + continue + coefficient = F(event['coefficient']) + numerator, denominator = abs(coefficient.numerator), coefficient.denominator + need(numerator > 0 and denominator & (denominator - 1) == 0, 'Dyadic scalar') + if event['kind'] == 'scale': + need(numerator & (numerator - 1) == 0, 'Dyadic unit scale') + result += 2 * (abs(numerator.bit_length() - denominator.bit_length()) + (coefficient < 0)) + else: + need(event['kind'] == 'add', 'Known scalar price') + result += 2 * (3 + numerator.bit_length() - 1 + numerator.bit_count() + denominator.bit_length() - 1) + return result + + +def product(left, right): + output = [] + for row in left: + result = {} + for index, coefficient in row.items(): + replay.add(result, right[index], coefficient) + output.append(result) + return output + + +def signed_hadamard(ports, frame): + output = [] + for (a, b), sign in zip(((0, 1), (2, 3), (0, 2), (1, 3)), (-1, 1, -1, 1)): + left, right = ports[a], ports[b] + output += [scalar('add', left, right, F(sign), frame), + scalar('scale', right, coefficient=F(2), frame=frame), + scalar('add', right, left, F(-sign), frame)] + output += [scalar('scale', ports[i], coefficient=F(-1), frame=frame) for i in (1, 2)] + need(price(output) == 76, 'Four-point Hadamard price') + return output + + +def hadamard64(response, ports, offset, frame): + groups = {tuple(sorted(response[p])) for p in ports} + need(len(groups) == 16 and all(len(group) == 4 for group in groups), 'Sixteen four-port groups') + remaining, pairs, output = set(ports), [], [] + permutation = (0, 2, 1, 3) + while remaining: + first = min(remaining) + right_set = set(response[first]) + left = sorted(response[min(right_set)]) + need(first in left and set(left).isdisjoint(right_set), 'Paired Hadamard groups') + right = [None] * 4 + for index, p in enumerate(left): + need(set(response[p]) == right_set, 'Common four-port support') + negative = [q for q, value in response[p].items() if value == -1] + need(len(negative) == 1 and all(abs(value) == 1 for value in response[p].values()), 'Signed Hadamard row') + right[permutation[index]] = negative[0] + need(set(right) == right_set, 'Physical partner ordering') + pairs.append({'left': left, 'right': right}) + for group in (left, right): + output += signed_hadamard([offset + p for p in group], frame) + for a, b in zip(left, right): + output += swap(offset + a, offset + b, frame) + remaining -= set(left) | set(right) + need(len(pairs) == 8 and price(output) == 2048, 'Full priced Hadamard factor') + return output, pairs + + +def bind_gauge(source, offset, frame, n, extra_upper=None): + output = [scalar('clear', n, frame=frame)] + segments = [] + for event in source: + need(event[0] == 'scalar' and event[2] == 0, 'Pinned common-frame gauge') + gate = event[1] + if gate[0] == 'copy': + segments.append([]) + need(segments, 'Gauge starts with owned COPY') + segments[-1].append(gate) + if extra_upper is not None: + need(len(segments) == 8, 'Eight serial query rows') + for index, segment in enumerate(segments): + last_scatter = max((position for position, gate in enumerate(segment) + if gate[0] == 'add' and gate[1][0] == 'L' and gate[2] == ['C', 0]), default=-1) + for position, gate in enumerate(segment): + def slot(token): + need(token[0] == 'L' or token == ['C', 0], 'Gauge operand namespace') + return offset + token[1] if token[0] == 'L' else n + kind, target = gate[0], slot(gate[1]) + if kind == 'scale': + output.append(scalar(kind, target, coefficient=F(*gate[2:4]), frame=frame)) + else: + output.append(scalar(kind, target, slot(gate[2]), F(*gate[3:5]) if kind == 'add' else None, frame)) + if position == last_scatter and extra_upper is not None: + scatter_scale = abs(F(*gate[3:5])) + output += [scalar('add', offset + p, n, -value * scatter_scale, frame) + for p, value in sorted(extra_upper[index].items())] + if frame: + output.append(scalar('clear', n, frame=0)) + return output + + +def bind_data_gauge(source, frame, n): + output = [scalar('clear', n, frame=frame)] + for event in source: + need(event[0] == 'scalar' and event[2] == 0, 'Pinned data gauge frame') + gate = event[1] + def slot(token): + need(token[0] == 'L' or token == ['C', 0], 'Data gauge namespace') + return token[1] if token[0] == 'L' else n + if gate[0] == 'scale': + output.append(scalar('scale', slot(gate[1]), coefficient=F(*gate[2:4]), frame=frame)) + else: + output.append(scalar(gate[0], slot(gate[1]), slot(gate[2]), + F(*gate[3:5]) if gate[0] == 'add' else None, frame)) + if frame: + output.append(scalar('clear', n, frame=0)) + return output + + +def check_frames(events, frame, n): + frames = {p: frame for p in range(224)} | {n + p: 0 for p in range(8)} + for event in events: + target, declared = event['target'], event['frame'] + if event['kind'] == 'clear': + need(target == n, 'Only owned C0 admission or frame reset') + frames[target] = declared + else: + need(frames[target] == declared == frame, 'Physical target frame') + if 'source' in event: + source = event['source'] + need(source != target and frames[source] == declared, 'Physical source frame') + need(all(frames[n + p] == 0 for p in range(8)), 'Owned endpoint frames') + + +def boundary(events, state, n): + start = 0 + for index, event in enumerate(events): + if event['kind'] != 'clear': + continue + state = replay.boundary(events[start:index], state, n) + if index: + need(not state[event['target']], 'The query is zero before each later frame reset') + state = replay.boundary([event], state, n) + start = index + 1 + return replay.boundary(events[start:], state, n) + + +def negate_core(item): + original = item['programs'] + output = deepcopy(original) + need(len(original['forward']) == len(original['backward']), 'Paired native event indexing') + sites = [] + for index, event in enumerate(original['forward']): + if event[0] != 'scalar' or event[1][0] != 'add': + continue + target, source = event[1][1:3] + is_y = lambda token: token[0] == 'L' and 112 <= token[1] < 224 + if is_y(target) and not is_y(source): + need(original['backward'][index][1][1:3] == [source, target], 'Literal transposed transfer site') + sites.append(index) + for direction in ('forward', 'backward'): + output[direction][index][1][3] *= -1 + need(len(sites) == 184, 'All structured scalar transfer sites') + for direction in output: + need([event for event in output[direction] if event[0] != 'scalar'] == + [event for event in original[direction] if event[0] != 'scalar'], 'Unchanged native records') + need(replay.core_price(output[direction]) == 87360, 'Unchanged core scalar bill') + return output, sites + + +def apply_matrix(matrix, state, offset=0): + output = deepcopy(state) + for p, row in enumerate(matrix): + output[offset + p] = {} + for q, coefficient in row.items(): + replay.add(output[offset + p], state[offset + q], coefficient) + return output + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out-dir', type=Path, required=True) + parser.add_argument('--gauges', choices=('original', 'scaled'), default='original') + options = parser.parse_args() + need(not options.out_dir.exists(), 'Use a new output directory') + freeze = read(SOURCE / 'FREEZE.json', PINS['source_freeze']) + for name, pin in freeze['artifacts'].items(): + need(sha256((SOURCE / name).read_bytes()).hexdigest() == pin, 'Frozen source artifact: ' + name) + core = read(SOURCE / 'STRUCTURED-CENTRES-PROGRAM.json.gz', PINS['source_payload'], True) + gauge_source = read(SOURCE / 'RANK8-GAUGES.json', PINS['source_gauges']) + source_receipt = read(SOURCE / 'STRUCTURED-CENTRES.json', PINS['source_receipt']) + pins = dict(PINS) + if options.gauges == 'scaled': + gauge_freeze = read(SOURCE / 'GAUGES-V2-FREEZE.json', SCALED_GAUGE_FREEZE) + for name, pin in gauge_freeze['artifacts'].items(): + need(sha256((SOURCE / name).read_bytes()).hexdigest() == pin, 'Frozen scaled gauge: ' + name) + gauge_source = read(SOURCE / 'RANK8-GAUGES-V2.json', SCALED_GAUGE_PIN) + pins['preceding_gauges'] = pins['source_gauges'] + pins['source_gauges'] = SCALED_GAUGE_PIN + pins['scaled_gauge_freeze'] = SCALED_GAUGE_FREEZE + response = [{int(q): F(value) for q, value in row.items()} for row in core['response']] + rows = [{int(q): F(value) for q, value in row.items()} for row in core['centre_rows']] + selected = sorted(source_receipt['gauge_identities']['3']['selected_ports']) + centre_ports = sorted(source_receipt['centre_support_ports']) + centre_ordinary = sorted(set(centre_ports) - set(selected)) + hadamard_ports = sorted(set(range(112)) - set(centre_ports)) + ordinary = sorted(set(range(112)) - set(selected)) + need(len(selected) == 24 and len(ordinary) == 88 and len(hadamard_ports) == 64, 'Actual physical split') + need(selected == sorted(p for minor in source_receipt['orthogonal_minor_ports'][:3] for p in minor), 'First three complete minors') + identity_matrix = [{p: F(1)} for p in range(112)] + j = [{q: -value for q, value in row.items()} for row in response] + outer = [{} for _ in range(112)] + for row in rows: + for p, value in row.items(): + replay.add(outer[p], row, value) + h, hi, data, data_inverse = [deepcopy(identity_matrix) for _ in range(4)] + for p in ordinary: + h[p] = {q: value for q, value in j[p].items() if q in ordinary} + for p in centre_ordinary: + replay.add(hi[p], {q: value for q, value in outer[p].items() if q in centre_ordinary}, F(-1, 4)) + for p in hadamard_ports: + hi[p] = {q: -value / 4 for q, value in response[p].items()} + data[p], data_inverse[p] = dict(hi[p]), dict(j[p]) + signs = {p: F(-1) if p in selected else F(1) for p in range(112)} + for p in centre_ports: + data[p] = {p: signs[p]} + replay.add(data[p], outer[p], F(-1, 4)) + data_inverse[p] = {p: signs[p]} + replay.add(data_inverse[p], {q: value * signs[q] for q, value in outer[p].items()}, signs[p] / 4) + need(product(h, hi) == product(hi, h) == identity_matrix, 'Both complete ordinary inverse orders') + need(product(data, data_inverse) == product(data_inverse, data) == identity_matrix, 'Both complete data inverse orders') + + packet = {'schema': 'structured-centres-physical-transfer-v1', 'source_pins': pins, + 'selected_S': selected, 'ordinary_U': ordinary, 'centre_ordinary': centre_ordinary, + 'hadamard_ports': hadamard_ports, 'providers': {}} + receipt = {'status': 'PASS_STRUCTURED_CENTRES_PHYSICAL_TRANSFER', 'source_pins': pins, + 'selected_ports': 24, 'ordinary_ports': 88, 'providers': {}} + for provider, item in core['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(n == 632 and len(word['zero_buffers']) == 91, 'Actual provider resources') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Physical gauge endpoints') + native, sites = negate_core(item) + identity = {p: {(p, ()): F(1)} for p in range(n + 8)} + h64_x, pairs = hadamard64(response, hadamard_ports, 0, 1) + hi64_x = inverse_word(h64_x) + h64_y, other_pairs = hadamard64(response, hadamard_ports, 112, 0) + need(pairs == other_pairs and price(hi64_x) == 2048, 'Same Hadamard pairs and inverse bill') + prefix = bind_gauge(gauge_source['programs']['ordinary'], 112, 0, n) + h64_y + backward = bind_gauge(gauge_source['programs']['ordinary_inverse'], 0, 1, n) + hi64_x + selected_rows = [{p: value for p, value in row.items() if p in selected} for row in rows] + diagonal = bind_gauge(gauge_source['programs']['ordinary_inverse'], 0, 1, n, selected_rows) + hi64_x + full_data = bind_data_gauge(gauge_source['programs']['data'], 1, n) + hi64_x + full_inverse = bind_data_gauge(gauge_source['programs']['data_inverse'], 1, n) + h64_x + gauge_words = {'ordinary_Y': prefix, 'ordinary_inverse_X': backward, + 'fused_inverse_X': diagonal, 'data_X': full_data, 'data_inverse_X': full_inverse, + 'hadamard_X': h64_x, 'hadamard_inverse_X': hi64_x} + for name, events in gauge_words.items(): + check_frames(events, 0 if name == 'ordinary_Y' else 1, n) + for events, matrix, offset in ((prefix, h, 112), (backward, hi, 0), + (full_data, data, 0), (full_inverse, data_inverse, 0)): + actual = boundary(events, identity, n) + expected = apply_matrix(matrix, identity, offset) + expected[n] = {} + need(actual == expected, 'All scalar gauge columns') + for first, second in ((h64_x, hi64_x), (hi64_x, h64_x)): + need(boundary(first + second, identity, n) == identity, 'Both literal Hadamard inverse orders') + zero_c0 = deepcopy(identity) + zero_c0[n] = {} + for first, second in ((full_data, full_inverse), (full_inverse, full_data)): + need(boundary(first + second, identity, n) == zero_c0, 'Both literal full-data inverse orders') + input_swap, output_swap = exchange(selected, 0), exchange(selected, 1) + need(price(input_swap) == price(output_swap) == 624, 'All selected exchanges priced') + check_frames(input_swap, 0, n) + check_frames(output_swap, 1, n) + + def evaluate(direction, pre, post): + physical = deepcopy(identity) + for p in range(112): + physical[p] = replay.line(physical[p], p, 1) + physical = boundary(pre + input_swap, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[p] = replay.line(logical[p], p, -1) + logical, checks, warps = replay.core_replay(native[direction], logical, word, direction == 'backward') + physical = deepcopy(logical) + for p in range(112): + physical[112 + p] = replay.line(physical[112 + p], p, -1) + physical = boundary(post, physical, n) + logical = deepcopy(physical) + for p in range(112): + logical[112 + p] = replay.line(logical[112 + p], p, 1) + return logical, physical, checks, warps + + raw_b, raw_f, balanced_b, balanced_f = [deepcopy(identity) for _ in range(4)] + for p in selected: + raw_b[p] = replay.line(identity[112 + p], p, -1) + raw_b[112 + p] = replay.line(identity[p], p, 1) + balanced_b[p], balanced_b[112 + p] = deepcopy(raw_b[p]), deepcopy(raw_b[112 + p]) + query = {} + for q, coefficient in j[p].items(): + source = replay.line(identity[q], q, 1) if q in selected else identity[112 + q] + replay.add(raw_b[p], source, -coefficient) + replay.add(balanced_b[p], source, -coefficient) + source = replay.line(identity[112 + q], q, -1) if q in selected else identity[q] + replay.add(query, source, coefficient) + replay.add(raw_f[p], replay.line(query, p, -1)) + replay.add(balanced_f[p], replay.line(query, p, -1)) + for p in ordinary: + for q, coefficient in j[p].items(): + source = replay.line(identity[q], q, 1) if q in selected else identity[112 + q] + replay.add(raw_b[p], source, -coefficient) + source = replay.line(identity[112 + q], q, -1) if q in selected else identity[q] + replay.add(raw_f[112 + p], source, coefficient) + balanced_b[p] = {key: -value for key, value in identity[112 + p].items()} + balanced_f[112 + p] = {} + for q, coefficient in hi[p].items(): + replay.add(balanced_b[p], identity[q], coefficient) + for a, value in j[q].items(): + if a in selected: + replay.add(balanced_b[p], replay.line(identity[a], a, 1), -coefficient * value) + for q, coefficient in h[p].items(): + replay.add(balanced_f[112 + p], identity[q], coefficient) + replay.add(balanced_f[112 + p], identity[112 + q], coefficient) + for q, coefficient in j[p].items(): + if q in selected: + replay.add(balanced_f[112 + p], replay.line(identity[112 + q], q, -1), coefficient) + diagonal_b = deepcopy(identity) + for p in range(112): + diagonal_b[p] = {} + for q, coefficient in data[p].items(): + source = replay.line(identity[q], q, 1) if q in selected else identity[q] + replay.add(diagonal_b[p], source, coefficient) + if p in selected: + replay.add(diagonal_b[p], replay.line(identity[112 + p], p, -1)) + diagonal_b[112 + p] = replay.line(identity[p], p, 1) + else: + replay.add(diagonal_b[p], identity[112 + p], -1) + normalized_b = apply_matrix(data_inverse, diagonal_b) + for expected in (raw_b, raw_f, balanced_b, balanced_f, diagonal_b, normalized_b): + for p in range(n, n + 8): + expected[p] = {} + totals = (91368, 91944, 96684, 91894) if options.gauges == 'original' else (91208, 91592, 96012, 91830) + specs = { + 'raw_backward': ('backward', [], [], raw_b, 87984), + 'balanced_backward': ('backward', [], backward, balanced_b, totals[0]), + 'diagonal_backward': ('backward', [], diagonal, diagonal_b, totals[1]), + 'normalized_backward': ('backward', [], diagonal + full_inverse, normalized_b, totals[2]), + 'raw_forward': ('forward', [], output_swap, raw_f, 88608), + 'balanced_forward': ('forward', prefix, output_swap, balanced_f, totals[3]), + } + programs, reports = {}, {} + for name, (direction, pre, post, expected, total) in specs.items(): + actual, physical, checks, warps = evaluate(direction, pre, post) + need(actual == expected, 'All 640 ordered columns: ' + provider + ' ' + name) + need(all(actual[p] == identity[p] for p in range(224, n)), 'All arbitrary helpers restored') + need(all(not actual[p] for p in range(n, n + 8)), 'All owned fields zero') + if direction == 'backward': + need(all(physical[112 + p] == identity[p] for p in selected), 'Selected productive Y contains original X') + if name == 'normalized_backward': + for p in range(112): + original_x = {key: value for key, value in actual[p].items() if key[0] < 112} + expected_x = replay.line(identity[p], p, 1) if p in selected else identity[p] + need(original_x == expected_x, 'Normalized original-X response') + profile = Counter(event[5] for event in native[direction] if event[0] == 'climb') + need(dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Native child profile') + bill = replay.core_price(native[direction]) + price(pre + input_swap + post) + need(bill == total, 'Complete scalar bill: ' + name) + programs[name] = {'orientation': direction, 'prefix': pre, 'input_exchange': input_swap, + 'retained_core': native[direction], 'suffix': post, + 'events': pre + input_swap + native[direction] + post} + reports[name] = {'scalar_real_primitives': bill, 'native_rank_mass': 5073, 'native_children': 3507, + 'native_profile': dict(sorted(profile.items())), 'new_native_children': 0, + 'new_private_fields': 0, 'all_input_columns': 640, 'arbitrary_helpers_restored': 408, + 'private_zero_buffers_restored': 91, 'owned_final_zero': 8, + 'core_scalar_frame_checks': checks, 'core_warp_events': warps} + print(provider, name, bill, flush=True) + packet['providers'][provider] = {'canonical': word, 'negative_transfer_sites': sites, + 'gauge_words': gauge_words, 'hadamard_pairs': pairs, 'programs': programs} + receipt['providers'][provider] = {'programs': reports, + 'gauge_costs': {name: price(events) for name, events in gauge_words.items()}, + 'hadamard_physical_exchanges': 32, 'selected_physical_exchanges_per_pass': 24, + 'native_scalar_transfer_sign_changes': len(sites)} + raw = (json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n').encode() + receipt['payload_decompressed_sha256'] = sha256(raw).hexdigest() + receipt['checker_sha256'] = sha256(Path(__file__).read_bytes()).hexdigest() + receipt['scope'] = ('Twelve complete local native words and full common-frame scalar gauges. ' + 'All Q operators retain their order. Native phase uses the unchanged pinned provider recipes. ' + 'Inter-call code transport, caller exterior phase, storage hosting, recursive precision, ' + 'and the complete supplier invoice remain open.') + options.out_dir.mkdir(parents=True) + (options.out_dir / 'STRUCTURED-TRANSFER-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (options.out_dir / 'STRUCTURED-TRANSFER-RECEIPT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status'], receipt['payload_decompressed_sha256'], flush=True) + + +if __name__ == '__main__': + replay_path = LANE / 'emit_raw_selected.py' + need(sha256(replay_path.read_bytes()).hexdigest() == PINS['native_replay'], 'Pinned native replay utility') + spec = importlib.util.spec_from_file_location('structured_native_replay', replay_path) + replay = importlib.util.module_from_spec(spec) + spec.loader.exec_module(replay) + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz new file mode 100644 index 0000000000..7be5c4debd Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-RECEIPT.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-RECEIPT.json new file mode 100644 index 0000000000..37adecb307 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-normal/STRUCTURED-TRANSFER-RECEIPT.json @@ -0,0 +1,289 @@ +{ + "checker_sha256": "a174ac06bb5f0a2080698a2f7319c7d6ce15a2d04fbaa3ba34db9cf55f7f7ce2", + "ordinary_ports": 88, + "payload_decompressed_sha256": "334ae2c970d591fd2999d4472dea2add296c978d5e7479b69210e4c3d05f76ff", + "providers": { + "base": { + "gauge_costs": { + "data_X": 4740, + "data_inverse_X": 4740, + "fused_inverse_X": 3960, + "hadamard_X": 2048, + "hadamard_inverse_X": 2048, + "ordinary_Y": 3286, + "ordinary_inverse_X": 3384 + }, + "hadamard_physical_exchanges": 32, + "native_scalar_transfer_sign_changes": 184, + "programs": { + "balanced_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91368 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91894 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91944 + }, + "normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96684 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87984 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 88608 + } + }, + "selected_physical_exchanges_per_pass": 24 + }, + "extra": { + "gauge_costs": { + "data_X": 4740, + "data_inverse_X": 4740, + "fused_inverse_X": 3960, + "hadamard_X": 2048, + "hadamard_inverse_X": 2048, + "ordinary_Y": 3286, + "ordinary_inverse_X": 3384 + }, + "hadamard_physical_exchanges": 32, + "native_scalar_transfer_sign_changes": 184, + "programs": { + "balanced_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91368 + }, + "balanced_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91894 + }, + "diagonal_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 91944 + }, + "normalized_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 96684 + }, + "raw_backward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 87984 + }, + "raw_forward": { + "all_input_columns": 640, + "arbitrary_helpers_restored": 408, + "core_scalar_frame_checks": 10880, + "core_warp_events": 240, + "native_children": 3507, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "native_rank_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "owned_final_zero": 8, + "private_zero_buffers_restored": 91, + "scalar_real_primitives": 88608 + } + }, + "selected_physical_exchanges_per_pass": 24 + } + }, + "scope": "Twelve complete local native words and full common-frame scalar gauges. All Q operators retain their order. Native phase uses the unchanged pinned provider recipes. Inter-call code transport, caller exterior phase, storage hosting, recursive precision, and the complete supplier invoice remain open.", + "selected_ports": 24, + "source_pins": { + "native_replay": "a07cf4894a2599993006c7b99e6cb62146ece82f2ae6df72a28100ccb3a689bc", + "source_freeze": "5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19", + "source_gauges": "27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930", + "source_payload": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "source_receipt": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc" + }, + "status": "PASS_STRUCTURED_CENTRES_PHYSICAL_TRANSFER" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/structured-centres-transfer-20261018/original-optimized/STRUCTURED-TRANSFER-PROGRAMS.json.gz 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"forward", + "private_zero_buffers": 91, + "scalar": 164514 + }, + "extra/backward": { + "arbitrary_columns": 640, + "events": { + "adapter": 978, + "climb": 3507, + "phase": 11, + "residual_adapter": 390, + "scalar": 18080, + "warp": 240, + "zero_buffer": 182 + }, + "extended_columns": 731, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "orientation": "backward", + "private_zero_buffers": 91, + "scalar": 164514 + }, + "extra/forward": { + "arbitrary_columns": 640, + "events": { + "adapter": 978, + "climb": 3507, + "phase": 11, + "residual_adapter": 390, + "scalar": 18080, + "warp": 240, + "zero_buffer": 182 + }, + "extended_columns": 731, + "native_profile": { + "1": 2433, + "2": 724, + "3": 228, + "4": 102, + "5": 20 + }, + "orientation": "forward", + "private_zero_buffers": 91, + "scalar": 164514 + } + }, + "input_manifest_sha256": "b31a6057cb343e839fd1e7e0e89d08faa2e2c4025a8d7f18f5a4538dfa00a681", + "not_claimed": [ + "Minimal selected size", + "Idle preparation", + "Complete inter-call decoder or controller", + "Owner histories", + "Recursive hosting, precision, complete supplier cost, or kappa" + ], + "providers": { + "base": { + "composed_word": { + "arbitrary_columns": 640, + "method": "Literal complete core plus frozen inverse_A suffix, replayed in this review.", + "native_children": 3507, + "native_mass": 5073, + "original_X_response": "diag(Q_S,I_U)", + "owned_outputs_zero": 8, + "scalar_real_primitives": 179074 + }, + "native_words": { + "balanced_backward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 170446 + }, + "balanced_forward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171290 + }, + "diagonal_backward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171662 + } + }, + "response_units": { + "A": { + "all_input_columns": 640, + "native_children": 0, + "owned_outputs_zero_at_I": 8, + "owned_query_peak": 8, + "scalar_real_primitives": 7452 + }, + "inverse_A": { + "all_input_columns": 640, + "native_children": 0, + "owned_outputs_zero_at_I": 8, + "owned_query_peak": 8, + "scalar_real_primitives": 7412 + } + } + }, + "extra": { + "composed_word": { + "arbitrary_columns": 640, + "method": "Literal complete core plus frozen inverse_A suffix, replayed in this review.", + "native_children": 3507, + "native_mass": 5073, + "original_X_response": "diag(Q_S,I_U)", + "owned_outputs_zero": 8, + "scalar_real_primitives": 179074 + }, + "native_words": { + "balanced_backward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 170446 + }, + "balanced_forward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171290 + }, + "diagonal_backward": { + "arbitrary_columns": 640, + "logical_helpers_under_inherited_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "new_private_fields": 0, + "ordered_inverse_live_columns": 632, + "owned_outputs_zero": 8, + "owned_query_peak": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171662 + } + }, + "response_units": { + "A": { + "all_input_columns": 640, + "native_children": 0, + "owned_outputs_zero_at_I": 8, + "owned_query_peak": 8, + "scalar_real_primitives": 7452 + }, + "inverse_A": { + "all_input_columns": 640, + "native_children": 0, + "owned_outputs_zero_at_I": 8, + "owned_query_peak": 8, + "scalar_real_primitives": 7412 + } + } + } + }, + "response_unit_payload_sha256": "c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6", + "seconds": 15.901489125011722, + "source_payload_decompressed_sha256": "bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801", + "status": "PASS_INDEPENDENT_IRREGULAR_38_NATIVE_AND_RESPONSE_UNIT" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW.md new file mode 100644 index 0000000000..28ec9b0063 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW.md @@ -0,0 +1,181 @@ +# Independent review of the irregular 38-port native words + +The irregular 38-port construction passes this independent local review. +Both providers pass all three complete native words, the two completed-X +response-unit words, and both literal response-unit inverse orders. +The complete diagonal-borrowed word followed by the response inverse +also passes a new full-word replay in this review. + +This closes the literal local implementation and cost obligations of +the two-unit witness. It does not close idle preparation, inter-call +access, the full controller, or the complete supplier calculation. + +The source packet is frozen in `../new-core-transfer-20261017`. Its +native payload has decompressed SHA256 +`bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801`. +Its response-unit payload has SHA256 +`c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6`. +IRREGULAR-38-REVIEW-INPUTS.json records every input hash. + +## Method and source binding + +The checker imports the pinned independent serial-word review routines +from this lane. It imports no producer emitter or replay code. It uses +exact Fraction arithmetic and free invertible operator symbols. The +selected set is compared with both the native packet and the separately +checked root witness. R is read from the current clean-J core. + +For each provider and orientation, the checker pulls every output +covector through the complete retained core in reverse order. It uses +free warp generators, with only adjacent inverse cancellation. This +checks 731 columns: 632 live fields, eight owned fields, and 91 private +zero buffers. The result is exactly the clean-J forward or backward +map. A separate ledger checks every scalar frame, native transition, +canonical signed warp class, adapter endpoint, and private lifetime. + +The boundary operations are applied to the resulting complete core map +over a free group of distinct Qp symbols. The physical exchanges are +replayed as their literal ADD-and-scale tapes. Q is never moved through +a port-mixing matrix. All 640 arbitrary input columns of each local +word match the independently constructed expected matrix. + +All 408 logical helpers restore under the inherited native residual- +wrapper contract. All 91 private zero buffers return to zero. All eight +owned outputs are zero. The ordered content inverse recovers all 632 +live inputs. The current provider has 408 helpers; no old 480-helper +claim is used. + +The current native phase dependency is the independently checked +NEW-CORE-NATIVE-REVIEW receipt with SHA256 +`924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d`. +It includes both standard and literal dual warp tables. The exact +commutations of F with all 112 signed endpoint lines were checked in +this lane's serial-word review and are pinned here. The full recipe +sweep is not repeated. There are no new native children or phase kernels. + +## The actual two-unit geometry + +The selected set has 38 ports and its complement has 74. Set + + K=R^T/4, J=I-KR, + D=R_S K_S, T=D-13I, W=I-D, + H=I_U-K_U R_U, E=diag(-I_S,I_U). + +The checker verifies RR^T=56I from the actual entries. It obtains T^-1 +and W^-1 by independent exact elimination and checks both inverse orders. +The selected Gram matrix is also compared with the pinned root witness. +The expected ordinary inverse and full response are then + + H^-1=I_U+K_U T^-1 R_U, + A=E+K T^-1 R, + A^-1=E-E K W^-1 R E. + +The checker constructs both full response matrices independently from +these equations. Both matrices have only dyadic coefficients. The two +literal inverse orders prove that they are units on all 112 data +columns. The first unit property does not depend on row orthogonality +for the selected split. + +The emitted factors form all eight current R_U queries in existing +owned C0 through C7 before any data scatter. The review checks that no +query reads data after a scatter has changed it. The query transform +uses the stated coupled quarter-unit shears. All ADDs, SCALEs, and +CLEARs have the actual common frame: I for the input-Y factor, FULL +for the completed-X factors. All eight query fields return to zero at I. +The eight queries are temporary values in one boundary operation, not +saved values from an earlier call. No new storage is allocated. + +## Complete local maps + +Write x=(a,u), y=(b,v), Q=Q_S, q=Q_S^-1. The balanced backward map is + + X_S'=q b-J_SS Q a-J_SU v, + X_U'=H^-1 u-v-H^-1 J_US Q a, + Y_S'=Q a, Y_U'=v. + +For the diagonal-borrowed variant, put c=R_S Q a+R_U u. Its map is + + X_S'=q b-Q a+K_S T^-1 c, + X_U'=u-v+K_U T^-1 c, + Y_S'=Q a, Y_U'=v. + +The forward map is + + X_S'=a+q J_SS q b+q J_SU u, X_U'=u, + Y_S'=b, + Y_U'=H(u+v)+J_US q b. + +The physical endpoint conventions are Xp=Qp xp, Yp=yp at input, and +Xp=F xp', Yp=F Qp^-1 yp' at output. Both backward variants therefore +have physical selected Y equal to F times the original selected X. +All Q factors remain in the displayed order. + +## Explicit response inverse and complete composition + +The two response-unit tapes operate only on completed FULL X and the +eight owned query fields. They preserve every other live input. The +checker verifies their exact matrices on all 640 arbitrary columns and +then checks both concatenation orders. In either order, every live +input restores and all eight owned outputs are zero at I. + +The review also appends the frozen inverse_A tape to the frozen +diagonal-borrowed suffix and replays the complete resulting word. This +is an additional executed whole-word check. It is stronger evidence +than the source packet's composition argument alone. + +Let P=diag(Q_S,I_U), and let B0=diag(q,-I_U) denote the explicit +borrowed-Y coefficient. The resulting local map is + + X'=P x+A^-1 B0 y, + Y_S'=Q_S a, Y_U'=v. + +Thus the original-X response is exactly P. This conclusion does not +identify it with an identity response, remove the borrowed-Y term, or +supply native access to a different invocation's view. The productive +selected Y carrier remains unchanged. + +## Exact local invoice + +| Word or factor | Real scalar primitives | Native rank mass | +| --- | ---: | ---: | +| Balanced backward | 170446 | 5073 | +| Diagonal-borrowed backward | 171662 | 5073 | +| Balanced forward | 171290 | 5073 | +| Completed-X response A | 7452 | 0 | +| Completed-X response A^-1 | 7412 | 0 | +| Diagonal-borrowed backward, then A^-1 | 179074 | 5073 | + +The native profile of each complete word is +`{1:2433,2:724,3:228,4:102,5:20}`, with 3507 children. All new factors +are dyadic. There is no odd-division opcode in this packet. The complete +counts include the 164514-scalar core, every physical exchange, all +eight query preparations, the finite query transforms, every scatter, +and all owned cleanup. No extra field or native child is used. + +The isolated factor costs are 4800 for H, 4944 for H^-1, and 6160 for +the inverse with selected upper scatter. Each passes its complete-word +map check. Changed-word controls reject omitted factors and omitted +physical input exchanges. + +Run with one process from the workspace root: + + python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_irregular_38.py + +The expected status is +`PASS_INDEPENDENT_IRREGULAR_38_NATIVE_AND_RESPONSE_UNIT`. + +This review does not prove that 38 selected ports are minimal. It does +not prove idle preparation, complete inter-call views, a decoder or +controller, owner histories, recursive hosting, full precision, the +complete supplier cost, or a new kappa. No dense physical operator +across all arrays was built. Exact ordered local maps compose with the +pinned native identities. + +The budget-geometry and dyadic-subset-search lanes found the irregular +witness. The coordinating lane checked its two full inverse identities. +The new-core-transfer lane emitted the native words and response units. +Their frozen packets give predecessor and source credit. This lane used +a separate calculation for review. OpenAI Codex assisted the work. No +human review is claimed. No PR, push, or publication commit was made. +Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/NATIVE-LIFT.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/NATIVE-LIFT.md new file mode 100644 index 0000000000..a1fc7101cb --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/NATIVE-LIFT.md @@ -0,0 +1,140 @@ +# Native recipes for the new centre-deleted core + +This lane checks the native operators for both PR3133 provider words. +The words are the byte-equal copies in PR3148. It uses the new frame and +warp data. It does not use the earlier T74 frame data. + +Fresh generation passed for both providers. Each run checked 1130 frames, +3036 directed child edges, 224 endpoint adapters, 180 signed physical warp +classes, 72 logical warp operators, and 56 residual wrapper classes. The +residual classes include 32 proper terminal pairs, of which 24 are cold. +Each source run rejected 25 wrapper mutations and 13 warp mutations. + +The fresh child and residual recipe files have the same hashes as the +authenticated PR3133 native receipt. Both literal dual runs also passed: +each checked all 180 signed classes on all 512 columns. In each provider, +172 literal dual recipes differ from the forward recipes. All literal +dual recipes have rank zero. Thus the choice of logical warp orientation +does affect the phase tables, but it does not add native children. + +The independent interpreter review is a separate calculation. The scalar +map, stock, controller, precision, and complete kappa calculation are also +separate checks. `RESULT.json` gives the generation result; `FREEZE.json` +pins its inputs, scripts, proofs, and outputs. + +## Exact operator test + +For a binary subspace U, let T_U be the canonical Clifford frame in the +pinned source. A child from U to V must implement T_V T_U^{-1}. The +generator derives its recipe from this product. It checks the full Pauli +table and the exact Gaussian dyadic image of the zero basis vector. These +two checks include the global phase. + +To see this, let A and B be unitary operators with the same action on all +Pauli generators. Then B^{-1} A commutes with every X and Z generator. An +operator that commutes with every Z generator is diagonal in the standard +basis. If it also commutes with every X generator, all diagonal entries +are equal. Thus A is a scalar multiple of B. Equality on the zero basis +vector fixes that scalar as one. The argument applies to each generated +Clifford product. It also proves equality of all positive tensor powers. + +Each child recipe has the form L C_[r] R, with R applied first. The +serialized L and R are monomial Clifford operators. For a nested frame +change, the checked r is the difference of the frame dimensions. The +physical warp product is T_V K_G^{sign} T_U^{-1}. Its checked r is zero. +The separate Gaussian matrix implementation checks every one of its 512 +columns. + +A helper that enters at E and leaves at V has residual T_V T_E^{-1}. +The recipes include the proper terminal subspaces of the new words. They +also include the cold pairs with E equal to zero. The exact wrapper test +checks R^{-1}, then the residual, then L^{-1}; the result is C_[r]. It does +not replace a proper terminal frame by FULL. + +## Literal dual warps + +The backward scalar proof uses the inverse transpose of each logical +warp. For a unitary warp K this is the entrywise conjugate of K. The +source emitter stores the same signed warp labels for both orientations. +The orientation must therefore select a physical implementation. + +There are two valid routes. The free-operator proof can establish the +endpoint identity for an arbitrary consistent choice of invertible warp +generators. The physical implementation can then use the forward K in +both orientations. Alternatively, the literal dual implementation can +use conjugate(K) in the backward orientation. This lane supplies exact +recipes for the second route as well. + +The literal dual route has a general rank-zero closure property. Let K +be a monomial Clifford operator whose nonzero entries are fourth roots of +unity. Every source K_G has this property. In a standard basis, K is an affine +permutation with a phase of the form + + i^(c + alpha.x + 2 q(x)), + +where q is a binary quadratic form. Conjugation changes this phase by +2(c + alpha.x) modulo 4. The quadratic term vanishes. After the affine +permutation, this phase is a signed Z Pauli. Thus + + conjugate(K) K^{-1} = P + +for a Pauli P. Suppose the accepted physical warp is + + W = T_V K T_U^{-1} + +and W is monomial. Then its literal dual counterpart is + + T_V conjugate(K) T_U^{-1} = (T_V P T_V^{-1}) W. + +A Clifford frame maps a Pauli to a Pauli. A Pauli is monomial. Hence the +literal dual counterpart is monomial and needs no native child. Apply the +same argument to K^{-1} for a negative signed occurrence. This proof does +not require U and V to be FULL, or require the Pauli to be diagonal after +frame conjugation. + +`generate_dual_warps.py` also checks this conclusion directly for each +signed class of each new provider. It uses the physical product +T_V conjugate(K_G)^{sign} T_U^{-1}. A separate Gaussian matrix calculation +compares all 512 columns. A wrong global phase must fail. + +## Source and credit + +The core comes from +[PR3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133), at +commit `51eb9c4ee9e4722010d308aa3309e039d3940cc2`. The byte-equal provider +words are in +[PR3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), at +commit `f2927a4b8afcf0701a6b945e14f30de1d94f5176`: + +- [Base word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/base.json.gz). +- [Extra word](https://github.com/CrocSwap/integer-mult-bounds/blob/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/words/extra.json.gz). + +The unchanged recipe sources come from +[PR2588](https://github.com/CrocSwap/integer-mult-bounds/pull/2588), at +commit `8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb`: + +- [Phase compiler](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_phases.py). +- [Residual wrappers](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py). +- [Gaussian matrix implementation](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_gauss.py). +- [Serialized warp checker](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py). +- [Exact Clifford implementation](https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/clifford/clifford_exact.py). + +The source files retain their original author and AI-assistance notices. +The wrapper source credits the PR458 construction. The warp source credits +Cinna Davis and PR2226. OpenAI Codex assisted this lane's driver, literal +dual calculation, proof, and local checks. The independent review is a +separate agent calculation. It is not a maintainer review. + +## Reproduction + +Use one process and the workspace Python that has NumPy: + + work/verification-venv/bin/python -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/generate_recipes.py + OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 work/verification-venv/bin/python -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/generate_dual_warps.py + python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/freeze_results.py + +The first command checks every source and input pin before generation. +It runs the wrapper, phase, and serialized warp checks for each provider. +The second command checks the source and first-stage output pins before +it generates the literal dual recipes. The scripts write results only +inside this lane. No PR, push, or publication commit is part of this work. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS-FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS-FREEZE.json new file mode 100644 index 0000000000..8170c069d0 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS-FREEZE.json @@ -0,0 +1,9 @@ +{ + "files": { + "REPLAY-ENTRYPOINTS.json": "13a6d69569577fe0fe65fa6edd6c0f147c838ef225f1a817c96a4a12059749d7", + "REPLAY-ENTRYPOINTS.md": "dda1186b8ef0e9ad6476ee11d48e3e1f50aef88332a20df9745bf80998f7ecf7", + "replay_irregular_38.py": "5c85cf02b71f72be4146fd3f08868d3bc230e104bb2c4f42fa18e66573a81051", + "replay_serial_balanced.py": "9cf168c23a6b8e3b0d98b79fab672428f032f6f7a1aa48e56dc3426bea859dc5" + }, + "status": "PASS_SAFE_REPLAY_ENTRYPOINTS" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.json new file mode 100644 index 0000000000..dc40a24ba9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.json @@ -0,0 +1,23 @@ +{ + "existing_output_rejected_before_replay": true, + "frozen_files_unchanged": true, + "reviews": { + "IRREGULAR-38": { + "all_mathematical_receipt_fields_equal": true, + "input_manifest_bytes_equal": true, + "input_manifest_sha256": "b31a6057cb343e839fd1e7e0e89d08faa2e2c4025a8d7f18f5a4538dfa00a681", + "replay_receipt_sha256": "37e5afbcce29c67cfb7e167440d5bb8d8f3c6be05ce593b4e1259929fed48d10", + "script": "replay_irregular_38.py", + "script_sha256": "5c85cf02b71f72be4146fd3f08868d3bc230e104bb2c4f42fa18e66573a81051" + }, + "SERIAL-BALANCED": { + "all_mathematical_receipt_fields_equal": true, + "input_manifest_bytes_equal": true, + "input_manifest_sha256": "14ef97e546492a15e210d8f2220187ef413843ebe7dc982cc2f3821a3587cb8c", + "replay_receipt_sha256": "39c109605729124879c65e4c318d44e411333b19078d9987b6e95146e9a5f8cf", + "script": "replay_serial_balanced.py", + "script_sha256": "9cf168c23a6b8e3b0d98b79fab672428f032f6f7a1aa48e56dc3426bea859dc5" + } + }, + "status": "PASS_SAFE_REPLAY_ENTRYPOINTS" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.md new file mode 100644 index 0000000000..ca3ae11eee --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/REPLAY-ENTRYPOINTS.md @@ -0,0 +1,29 @@ +# Reproduce the balanced-word reviews without changing frozen files + +Use these entrypoints for a new replay. Each requires a new receipt path +and a new adjacent input-manifest path. Existing output files are rejected +before the mathematical checks start. + + python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_serial_balanced.py --out /tmp/centre-serial-balanced-rerun.json + + python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_irregular_38.py --out /tmp/centre-irregular38-rerun.json + +Expected final statuses are +`PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS` and +`PASS_INDEPENDENT_IRREGULAR_38_NATIVE_AND_RESPONSE_UNIT`. + +These files retain the exact mathematical checks from the frozen +check_serial_balanced.py and check_irregular_38.py. They change only +argument parsing and receipt placement. Both new entrypoints were run. +After removal of the checker hash and elapsed time, each new receipt +equals its original frozen receipt exactly. Both input manifests are +also byte-equal to the frozen manifests. REPLAY-ENTRYPOINTS.json records +the source hashes and comparison results. + +The original fixed-output scripts and their receipts remain frozen. +The new entrypoints do not modify them. The local review scope and all +unresolved global obligations are unchanged. + +No PR, push, or publication commit was made. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-ODD-GRID-DEPENDENCY.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-ODD-GRID-DEPENDENCY.json new file mode 100644 index 0000000000..3166b136db --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-ODD-GRID-DEPENDENCY.json @@ -0,0 +1,23 @@ +{ + "hypotheses": [ + "Arbitrary Gaussian-dyadic root values, converted once across every physical numeric role to common grid 2^-P/3^K.", + "K=M(D+1), where M bounds inverse-factor occurrences per finite parent and D bounds active recursive edges.", + "Every completed recursive child has an exact Gaussian-dyadic endpoint on all arbitrary-input columns.", + "The final outer endpoint is proved Gaussian dyadic on every numeric role.", + "The actual complete word has a proved binary guard, root conversion and unscaling, and a separate scan invoice." + ], + "local_binding": "Every A8 factor equals the frozen reviewed grid factor after seven duplicate zero-CLEAR removals and the checked endpoint-frame assignment.", + "native_packet_decompressed_sha256": "a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e", + "not_established_here": [ + "The missing complete controller satisfies these hypotheses.", + "Idle preparation, productive owner histories, child hosting, or the complete supplier bound." + ], + "review_directory": "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/odd-grid-a8-review-20261017", + "review_files": { + "FREEZE.json": "81ebbea971c0902a80479f9af4c82e72c660093c9f712b537690293aaaf21d60", + "REVIEW.json": "4dc2c2aaf6dd85c3b32d9508ca8dc89a7a9b0b470fe31cfcf0cf1810c36b8d41", + "REVIEW.md": "0eee1c869ba6c1c5e75075bc9dbae3324468a27a6b0dd45cd16e4f7973f9eb05", + "check_review.py": "b18eafaef07c03c0a692c7f7539aa83226e0ccabc135d00fc4705d7954277f0b" + }, + "status": "REVIEWED_EXACT_GRID_DEPENDENCY_WITH_EXPLICIT_GLOBAL_HYPOTHESES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-FREEZE.json new file mode 100644 index 0000000000..b36dd1fd63 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-FREEZE.json @@ -0,0 +1,17 @@ +{ + "external_grid_review_files": { + 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"1b77917f5e21e7383d0aa50dcf4a0eb4c3d0177dc2e280979fdf2740067bbfae", + "SERIAL-BALANCED-REVIEW.md": "a744ba717499428d011410d50946fb55fe308b76838271a8f5aa2d7ffc33eff5", + "check_serial_balanced.py": "f8f833624f40c5a892383254ba274cf7fe32b4d93f68d3b6eb0549ecad0d5b6f" + }, + "no_publication": true, + "status": "PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-INPUTS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-INPUTS.json new file mode 100644 index 0000000000..cf8acc6106 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW-INPUTS.json @@ -0,0 +1,46 @@ +{ + 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a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.json new file mode 100644 index 0000000000..91163be761 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.json @@ -0,0 +1,339 @@ +{ + "A8_grid_factor_binding": "All six A8 factors equal the frozen grid-theorem factors after seven adjacent zero-CLEAR removals and the proved endpoint frame assignment.", + "checker_sha256": "f8f833624f40c5a892383254ba274cf7fe32b4d93f68d3b6eb0549ecad0d5b6f", + "core_checks": { + "base/backward": { + "arbitrary_columns": 640, + "events": { + "adapter": 978, + "climb": 3507, + "phase": 11, + "residual_adapter": 390, + "scalar": 18080, + "warp": 240, + "zero_buffer": 182 + 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{ + "additional_real_divide_by_3_scans": 0, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_factor": true, + "omit_input_physical_exchange": true, + "omit_selected_upper_scatter": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171554 + } + } + }, + "one_minor": { + "base": { + "balanced_backward": { + "additional_real_divide_by_3_scans": 16, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_exact_odd_division": true, + "omit_factor": true, + "omit_input_physical_exchange": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171474 + }, + "balanced_forward": { + "additional_real_divide_by_3_scans": 0, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_factor": true, + "omit_input_physical_exchange": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171650 + }, + "diagonal_backward": { + "additional_real_divide_by_3_scans": 16, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_exact_odd_division": true, + "omit_factor": true, + "omit_input_physical_exchange": true, + "omit_selected_upper_scatter": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171730 + } + }, + "extra": { + "balanced_backward": { + "additional_real_divide_by_3_scans": 16, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_exact_odd_division": true, + "omit_factor": true, + "omit_input_physical_exchange": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171474 + }, + "balanced_forward": { + "additional_real_divide_by_3_scans": 0, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_factor": true, + "omit_input_physical_exchange": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171650 + }, + "diagonal_backward": { + "additional_real_divide_by_3_scans": 16, + "all_input_columns": 640, + "content_inverse_columns": 632, + "controls": { + "omit_exact_odd_division": true, + "omit_factor": true, + "omit_input_physical_exchange": true, + "omit_selected_upper_scatter": true + }, + "factor_owned_clears": 9, + "logical_helpers_under_inherited_wrapper_contract": 408, + "native_children": 3507, + "native_mass": 5073, + "new_native_children": 0, + "owned_output_fields_zero": 8, + "private_zero_buffers": 91, + "scalar_real_primitives": 171730 + } + } + } + }, + "input_manifest_sha256": "14ef97e546492a15e210d8f2220187ef413843ebe7dc982cc2f3821a3587cb8c", + "native_dependency_sha256": "924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d", + "not_claimed": [ + "A dyadic-only implementation of the A8 inverse", + "Idle preparation", + "Complete controller, owners, or decoder", + "Complete recursive hosting, cost, precision, or kappa" + ], + "odd_division_scope": "Exact rational local operator, with /3 recorded as a separate opcode. Machine admission requires the separately reviewed common-grid contract.", + "seconds": 31.02988720801659, + "status": "PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.md new file mode 100644 index 0000000000..84974c1f15 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.md @@ -0,0 +1,206 @@ +# Independent review of the serial balanced native words + +All twelve local words pass the independent operator review. These are +three variants, on two selected sets, for both current providers. They +use the latest serial row factors. They do not use the earlier frozen +pivot-factor cost figures. + +The forty-port words use only the retained dyadic scalar operations. +The eight-port backward words also use exact division by three. That +operation has a separate opcode and a separate scan count. The local +rational operator check does not, by itself, prove machine admission. +Machine admission requires the common-grid contract stated below. + +The new checker reads the frozen SERIAL-BALANCED-PROGRAMS packet in +`../new-core-transfer-20261017`. Its decompressed SHA256 is +`a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e`. +SERIAL-BALANCED-REVIEW-INPUTS.json records all input pins. + +## Independent exact calculation + +The checker imports no producer emitter or replay code. It uses the +small exact algebra routines in the pinned check_raw_selected.py from +this review lane. It does not execute that file's old-provider checks. + +Each retained core is checked by reverse transpose accumulation over +free invertible warp generators. The check covers 731 columns: 632 +live fields, eight owned fields, and 91 private zero buffers. Only +adjacent inverse generators cancel. All nontrivial warp words cancel, +and the result is exactly + + forward: (x,y,h) -> (x,y+Jx,h), + backward: (x,y,h) -> (x-Jy,y,h). + +The reverse proof holds for arbitrary invertible generator substitutions. +The forward implementation uses the standard warp recipes. The backward +implementation uses the separately checked literal conjugate recipes. +No equality between those two physical recipe tables is assumed. + +A separate forward ledger checks every scalar frame, native transition, +signed canonical warp class, and endpoint adapter. Every private buffer +is allocated once, used only while live, and returned at FULL with zero +content. Every retained word is exactly the current CLEAN-J-PROGRAMS +array for its provider and orientation. + +The boundary operations are then applied to this full core operator. +This calculation uses a free group of the distinct port-line symbols +Qp. It does not move Q through a dense matrix. It replays the literal +physical exchanges as three ADDs and a negative SCALE at each selected +port. It does not substitute logical exchanges. + +All 640 arbitrary input columns of each complete local word agree with +the claimed map. All 408 logical helpers restore under the inherited +native residual-wrapper contract. All eight owned outputs are zero. +The 91 private zero-buffer contracts close. A separate ordered inverse +check recovers all 632 live inputs from the two data banks and helpers. + +The new factors touch only the relevant data bank and owned C0. Their +operand frames are checked directly: the forward factor uses ordinary +Y at I; the backward factors use completed X at FULL. Each factor uses +nine owned CLEARs and returns C0 to zero at I. No borrowed field clears. +There are no new native children, wrappers, or private fields. + +## Actual geometry and endpoint equations + +The checker reads R from the new source core and checks RR^T=56I. +Set K=R^T/4 and J=I-KR. Let S be the selected ports and U the other +ports. For k complete selected minors, the actual matrix gives + + R_S K_S=kI, R_U K_U=(14-k)I. + +The two cases are k=1 and k=5. Set lambda=14-k and + + H=J_UU, + H^-1=I-K_U R_U/(lambda-1). + +The independent expected-map calculation uses the more general centre +matrix T=R_S K_S-13I. It obtains T^-1 by exact elimination and checks +both inverse orders. It then uses H^-1=I+K_U T^-1 R_U. It does not +copy the producer's row-factor formula as its expected operation. + +Write the data inputs as x=(a,u), y=(b,v), and put q=Q_S^-1. The +balanced backward map is + + X_S'=q b-J_SS Q_S a-J_SU v, + X_U'=H^-1 u-v-H^-1 J_US Q_S a, + Y_S'=Q_S a, Y_U'=v. + +For the diagonal-borrowed variant, put c=R_S Q_S a+R_U u. Its map is + + X_S'=q b-Q_S a-K_S c/(lambda-1), + X_U'=u-v-K_U c/(lambda-1), + Y_S'=Q_S a, Y_U'=v. + +The balanced forward map is + + X_S'=a+q J_SS q b+q J_SU u, X_U'=u, + Y_S'=b, + Y_U'=H(u+v)+J_US q b. + +These equations retain the order of every Q factor. Both backward +variants have physical selected Y equal to F times the original selected +X data. That productive output retains information that cannot be +recovered from X alone in the eight-port case. + +The complete two-bank maps are units in their stated coefficient ring. +The eight-port fused original-X response alone has an eight-dimensional +kernel. Exact division by three does not remove that kernel. A decoder +that requires the inverse of this X response cannot use that assumption. + +## Native phase and representation checks + +The inherited current-core native review has receipt SHA256 +`924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d`. +It proves the exact child, adapter, residual-helper, and signed warp +identities for both current providers, including the distinct literal +dual tables. This review binds that receipt to the same core payload. +It does not repeat the full Clifford recipe sweep. + +All 448 data endpoint declarations per provider are checked from their +subspaces. The physical input is Xp=Qp xp, Yp=yp. The physical output +is Xp=F xp', Yp=F Qp^-1 yp'. The independent native interpreter checks +Qp^sign F=F Qp^sign for all 112 actual port directions and both signs. +Each equality uses exact Pauli action and an exact Gaussian state. +This permits the common F to factor out of the physical output tape. +It does not permit Q to move through R, K, or H. + +## Odd-division dependency + +Every A8 factor is compared directly with the frozen factor in +`../independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID-WORDS.json`. +That file has SHA256 +`525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9`. +The only sequence change is removal of seven adjacent duplicate CLEARs +of an already zero C0. The transferred words also set the actual I or +FULL frame on each operation. The completed row query still occurs +before each /3, and each selected scatter remains outside later queries. + +The required representation starts with arbitrary Gaussian-dyadic root +values. Every physical numeric stream, including arbitrary borrowed +payloads, must be scaled once into the common grid 2^-P/3^K. For a fixed +parent with M inverse-factor occurrences and maximum active depth D, +the stated theorem uses K=M(D+1). Every completed recursive child must +have an exact Gaussian-dyadic endpoint on every arbitrary-input column. +The eight row divisions within one factor add at most one unit of odd +denominator height, because each complete row query cancels the earlier +orthogonal row updates before division. + +The contract does not assume that an arbitrary incoming field is already +divisible by three. It does not start with arbitrary unscaled integer +numerators on the finest grid. It does not permit completed rational +children to accumulate extra odd denominator height without a new bound. +The root conversion, final unscaling, extra width, exact scans, and new +whole-word precision guard must all be included in a complete supplier. +The separate bridge review checks this theorem and its machine backend; +this review checks its exact local event binding. + +The independent bridge review passed. Its REVIEW.json has SHA256 +`4dc2c2aaf6dd85c3b32d9508ca8dc89a7a9b0b470fe31cfcf0cf1810c36b8d41`, +and its REVIEW.md has SHA256 +`0eee1c869ba6c1c5e75075bc9dbae3324468a27a6b0dd45cd16e4f7973f9eb05`. +Both are in `../bridge-review-20261017/odd-grid-a8-review-20261017`. +SERIAL-BALANCED-ODD-GRID-DEPENDENCY.json binds these reviewed hypotheses +to the exact local factors. It does not assert that an unfinished +controller satisfies the final endpoint or full-guard hypotheses. + +## Latest local invoice + +| Selected ports | Variant | Old real scalar primitives | Extra real /3 scans | +| ---: | --- | ---: | ---: | +| 8 | Balanced backward | 171474 | 16 | +| 8 | Diagonal-borrowed backward | 171730 | 16 | +| 8 | Balanced forward | 171650 | 0 | +| 40 | Balanced backward | 170274 | 0 | +| 40 | Diagonal-borrowed backward | 171554 | 0 | +| 40 | Balanced forward | 171266 | 0 | + +The counts hold for both providers. They include the full 164514-scalar +core, all physical exchanges, serial factor operations, C0 preparation +and restoration, and the seven final owned clears. The native profile +is `{1:2433,2:724,3:228,4:102,5:20}`: 3507 children and rank mass 5073. +The separate /3 scans are not assigned a dyadic primitive price. + +Changed-word controls reject an omitted factor, an omitted physical +input exchange, an omitted odd division where present, and an omitted +selected upper scatter in the diagonal-borrowed variant. + +Run with one process from the workspace root: + + python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_serial_balanced.py + +The expected status is `PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS`. + +The local word review does not establish idle preparation, complete +inter-call views, a controller, owner histories, a native decoder, +recursive hosting, full recursive cost, precision, or a new kappa. +No dense physical operator across all arrays was built. Exact local +scalar and free-operator identities compose with the pinned native +identities. + +The source packet gives contributor and predecessor credit. The +new-core-transfer lane produced the words, using the bridge-access and +independent-review serial factors. This lane used a separate calculation +for review. OpenAI Codex assisted the work. No human review is claimed. +No PR, push, or publication commit was made. Before a future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SOURCE-PINS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SOURCE-PINS.json new file mode 100644 index 0000000000..c3df9a69e7 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/SOURCE-PINS.json @@ -0,0 +1,10 @@ +{ + "source_commit": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "source_sha256": { + "bw_adapters.py": "c5907050a9a7fa36d4fcba3ad4fe440d1bec2063360c095013891785ba65c3ce", + "bw_check_recipes.py": "d600b959a0ac462dc28deb8c0d5d8f9e0c76d7f7d7b6f92a296c5ef9e0a1de19", + "bw_gauss.py": "0884b14d6d77cde419a3c773ad9b21d0d18de1e6e20e6b6d5add458ed32ba4cb", + "bw_phases.py": 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diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_irregular_38.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_irregular_38.py new file mode 100644 index 0000000000..229bc447b9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_irregular_38.py @@ -0,0 +1,190 @@ +#!/usr/bin/env python3 +"""Review the irregular native words and their completed response unit.""" +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-core-transfer-20261017' +SCRIPT_PIN = 'f8f833624f40c5a892383254ba274cf7fe32b4d93f68d3b6eb0549ecad0d5b6f' +path = HERE / 'check_serial_balanced.py' +if hashlib.sha256(path.read_bytes()).hexdigest() != SCRIPT_PIN: + raise ValueError('Pinned independent scalar reviewer') +spec = importlib.util.spec_from_file_location('independent_balanced_review', path) +review = importlib.util.module_from_spec(spec) +spec.loader.exec_module(review) +review.read_bytes(path, SCRIPT_PIN) +need, read, read_bytes = review.need, review.read, review.read_bytes +atom, add, line = review.atom, review.add, review.line + + +def unit_frames(events, word, selected, n): + frames = word['final'][:] + [0] * 8 + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(0 <= target < 112 or n <= target < n + 8, 'Response unit touches X and owned queries') + if kind == 'clear': + need(n <= target < n + 8, 'Response unit clears only owned fields') + frames[target] = declared + else: + need(frames[target] == declared == 1, 'Response unit target at FULL') + if kind == 'add': + source = event['source'] + need((0 <= source < 112 or n <= source < n + 8) and frames[source] == declared, 'Response unit source at FULL') + need(source != target, 'Response unit ADD uses distinct fields') + else: + need(kind == 'scale' and (target >= n or target in selected and Q(event['coefficient']) == -1), 'Response unit dyadic query scale or selected sign') + need(frames[:n] == word['final'] and frames[n:] == [0] * 8, 'Response unit exact frame restoration') + + +def query_order(events, n): + data_write = False + queries = set() + for event in events: + if event['kind'] != 'add': + continue + target, source = event['target'], event['source'] + if target >= n and source < n: + need(not data_write, 'All current data queries precede every data scatter') + queries.add(target) + if target < n and source >= n: + need(queries == set(range(n, n + 8)), 'All eight current queries exist before scatter') + data_write = True + need(data_write, 'The factor has a data scatter') + + +def matrix_result(matrix, n): + result = [atom(i) for i in range(n + 8)] + for p, row in enumerate(matrix): + result[p] = {((), q): c for q, c in enumerate(row) if c} + result[n:] = [{} for _ in range(8)] + return result + + +def main(): + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + freeze = read(SOURCE / 'FREEZE-IRREGULAR-38.json', '10214232ba25219d94821e5c9414b299166b15e471cd8bd9a3b343c61ef32f4f') + for name, pin in freeze['files'].items(): + read_bytes(SOURCE / name, pin) + packet = read(SOURCE / 'IRREGULAR-38-PROGRAMS.json.gz', 'bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801', True) + unit = read(SOURCE / 'IRREGULAR-38-RESPONSE-UNIT.json', 'c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6') + core = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', True) + witness = read(LANES.parent / 'root/IRREGULAR-SPLIT-20261017.json', '0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f') + native = read(LANES / 'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json', '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d') + prior = read(HERE / 'SERIAL-BALANCED-REVIEW.json', '1b77917f5e21e7383d0aa50dcf4a0eb4c3d0177dc2e280979fdf2740067bbfae') + need(native['status'] == 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES' and native['clean_payload_sha256'] == packet['source_pins']['core'], 'Inherited exact native phase binding') + need(prior['status'] == 'PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS' and prior['exact_signed_endpoint_F_commutations'] == {'base': 224, 'extra': 224}, 'Exact all-port F commutations') + need(packet['selected_S'] == unit['selected_S'] == witness['selected'] and len(packet['selected_S']) == 38, 'Exact irregular witness selection') + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in core['R']] + need(all(sum(r[i][p] * r[j][p] for p in range(112)) == 56 * (i == j) for i in range(8) for j in range(8)), 'Full actual row Gram matrix') + S, U, J, C, h, hi = review.geometry(r, packet['selected_S']) + need(list(U) == packet['ordinary_U'] and len(U) == 74, 'Exact ordinary partition') + selected_gram = [[sum(r[i][p] * r[j][p] for p in S) for j in range(8)] for i in range(8)] + need(selected_gram == witness['gram'], 'Independent source Gram binding') + W = [[Q(i == j) - selected_gram[i][j] / 4 for j in range(8)] for i in range(8)] + wi = review.inverse(W) + need(wi == [[Q(c) for c in row] for row in witness['I_minus_D_inverse']], 'Independent W inverse agrees') + signs = [-1 if p in S else 1 for p in range(112)] + wi_r = [[sum(wi[i][j] * r[j][q] for j in range(8)) for q in range(112)] for i in range(8)] + A = [[signs[p] * Q(p == q) + C[p][q] for q in range(112)] for p in range(112)] + AI = [[signs[p] * Q(p == q) - signs[p] * signs[q] * sum(r[i][p] * wi_r[i][q] for i in range(8)) / 4 + for q in range(112)] for p in range(112)] + need(all(c.denominator & (c.denominator - 1) == 0 for row in A + AI for c in row), 'Both response matrices are dyadic') + reports, core_checks = {}, {} + costs = {'balanced_backward': 170446, 'diagonal_backward': 171662, 'balanced_forward': 171290} + factor_costs = {'balanced_backward': 4944, 'diagonal_backward': 6160, 'balanced_forward': 4800} + for provider, item in packet['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(word == core['providers'][provider]['canonical'], 'Current canonical geometry') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Common I and FULL boundary frames') + cores = {} + for direction in ('forward', 'backward'): + cores[direction], core_checks[provider + '/' + direction] = review.core_operator(core['providers'][provider]['programs'][direction], word, J, direction) + reports[provider] = {'native_words': {}, 'response_units': {}, 'composed_word': {}} + for name, program in item['programs'].items(): + direction = program['orientation'] + events = program['retained_core'] + need(events == core['providers'][provider]['programs'][direction], 'Exact current native array') + need(program['events'] == program['prefix'] + program['input_exchange'] + events + program['suffix'] + program['owned_cleanup'], 'Literal complete order') + need(program['owned_cleanup'] == [], 'No uncounted owned cleanup') + factor = program['prefix'] if direction == 'forward' else program['suffix'] + review.factor_frames(factor, 112 if direction == 'forward' else 0, 0 if direction == 'forward' else 1, n) + query_order(factor, n) + need(sum(e['kind'] == 'clear' for e in factor) == 16, 'Eight owned preparations and returns') + need(review.invoice(factor) == (factor_costs[name], 0), 'Exact irregular factor invoice') + actual, physical = review.execute(program, cores[direction], n) + expected = review.expected_map(name, S, U, J, C, h, hi, n) + need(actual == expected, 'All irregular ordered columns: ' + provider + '/' + name) + need(actual[224:n] == [atom(p) for p in range(224, n)] and actual[n:] == [{}] * 8, 'All helper and owned outputs') + if direction == 'backward': + need(all(physical[112 + p] == atom(p) for p in S), 'Physical selected Y carries F times original X') + review.check_inverse(name, actual, S, U, J, r, h, hi, n) + scalar, scans = review.invoice(program['prefix'] + program['input_exchange'] + program['suffix']) + need(scalar + 164514 == costs[name] and scans == 0, 'Complete irregular dyadic invoice') + changed = deepcopy(program) + changed['prefix' if direction == 'forward' else 'suffix'] = [] + need(review.execute(changed, cores[direction], n)[0] != expected, 'Omitted irregular factor rejects') + changed = deepcopy(program) + changed['input_exchange'] = [] + need(review.execute(changed, cores[direction], n)[0] != expected, 'Omitted physical exchange rejects') + reports[provider]['native_words'][name] = { + 'scalar_real_primitives': costs[name], 'native_mass': 5073, 'native_children': 3507, + 'new_native_children': 0, 'new_private_fields': 0, 'owned_query_peak': 8, + 'arbitrary_columns': 640, 'logical_helpers_under_inherited_contract': 408, + 'private_zero_buffers': 91, 'owned_outputs_zero': 8, 'ordered_inverse_live_columns': 632, + } + print('PASS irregular native', provider, name, costs[name], flush=True) + + identity = [atom(i) for i in range(n + 8)] + zero_owned_identity = deepcopy(identity) + zero_owned_identity[n:] = [{}] * 8 + for name, matrix, scalar in (('A', A, 7452), ('inverse_A', AI, 7412)): + events = unit['programs'][name] + unit_frames(events, word, S, n) + query_order(events, n) + need(review.invoice(events) == (scalar, 0), 'Exact response-unit invoice') + need(review.boundary(events, identity, n) == matrix_result(matrix, n), 'All exact response-unit columns') + reports[provider]['response_units'][name] = {'scalar_real_primitives': scalar, 'all_input_columns': 640, + 'native_children': 0, 'owned_query_peak': 8, 'owned_outputs_zero_at_I': 8} + for first, second in (('A', 'inverse_A'), ('inverse_A', 'A')): + need(review.boundary(unit['programs'][first] + unit['programs'][second], identity, n) == zero_owned_identity, 'Both literal response-unit inverse orders') + + program = deepcopy(item['programs']['diagonal_backward']) + program['suffix'] += unit['programs']['inverse_A'] + actual, physical = review.execute(program, cores['backward'], n) + expected = deepcopy(identity) + borrowed = {p: line(identity[112 + p], p, -1) if p in S else {((), 112 + p): Q(-1)} for p in range(112)} + for p in range(112): + expected[p] = line(identity[p], p, 1) if p in S else dict(identity[p]) + add(expected[p], review.combine({q: AI[p][q] for q in range(112) if AI[p][q]}, borrowed)) + if p in S: + expected[112 + p] = line(identity[p], p, 1) + expected[n:] = [{}] * 8 + need(actual == expected, 'Whole-core response-normalized backward map') + scalar, scans = review.invoice(program['prefix'] + program['input_exchange'] + program['suffix']) + need(scalar + 164514 == 179074 and scans == 0, 'Whole response-normalized word invoice') + need(all(physical[112 + p] == atom(p) for p in S), 'Normalized word preserves selected physical carrier') + reports[provider]['composed_word'] = {'scalar_real_primitives': 179074, 'native_mass': 5073, 'native_children': 3507, + 'arbitrary_columns': 640, 'original_X_response': 'diag(Q_S,I_U)', 'owned_outputs_zero': 8, + 'method': 'Literal complete core plus frozen inverse_A suffix, replayed in this review.'} + print('PASS irregular units and whole normalized word', provider, flush=True) + result = {'status': 'PASS_INDEPENDENT_IRREGULAR_38_NATIVE_AND_RESPONSE_UNIT', 'providers': reports, + 'core_checks': core_checks, 'source_payload_decompressed_sha256': 'bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801', + 'response_unit_payload_sha256': 'c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6', + 'not_claimed': ['Minimal selected size', 'Idle preparation', 'Complete inter-call decoder or controller', 'Owner histories', 'Recursive hosting, precision, complete supplier cost, or kappa'], + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), 'seconds': time.monotonic() - started} + (HERE / 'IRREGULAR-38-REVIEW-INPUTS.json').write_text(json.dumps(review.INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256((HERE / 'IRREGULAR-38-REVIEW-INPUTS.json').read_bytes()).hexdigest() + (HERE / 'IRREGULAR-38-REVIEW.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_raw_selected.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_raw_selected.py new file mode 100644 index 0000000000..542c9490f1 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_raw_selected.py @@ -0,0 +1,471 @@ +#!/usr/bin/env python3 +"""Review the raw selected local maps with a separate exact interpreter.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +import gzip +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = LANES.parents[2] +SOURCE = LANES / 'native-escape-20261017' +A = (0, 7, 20, 27, 36, 46, 57, 111) +U = tuple(p for p in range(112) if p not in A) +CORE_PIN = 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877' +WORD_PIN = '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219' +INTERFACE_PIN = '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3' +KERNEL_PACKET_PIN = '17122a343fb8a3dd804b2d7042d523aa209d0684447cdba63d84cc5561b6144f' +PACKET_PINS = { + 'RAW-SELECTED-BACKWARD': '0d3280c6ad7ce79fba15bc6ff53e32fff1de75d8c17113c6174799e544e6103f', + 'RAW-SELECTED-FORWARD': '92d66da6d103963f8727b5e2ecb85f5cb48a220f870d36c433b6b3c6803b7cc9', + 'ZERO-LINE-BACKWARD': 'b02395d076f2ab3956f35de863109fbabe0ab7dc1c5e8199024045679a1a1727', +} +INPUTS = {} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def hashed(path, pin=None, zipped=False): + raw = path.read_bytes() + content = gzip.decompress(raw) if zipped else raw + key = str(path.relative_to(ROOT)) + record = {'sha256': hashlib.sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = hashlib.sha256(content).hexdigest() + need(pin is None or hashlib.sha256(content).hexdigest() == pin, 'Input pin: ' + key) + INPUTS[key] = record + return content + + +def load(path, pin=None, zipped=False): + return json.loads(hashed(path, pin, zipped)) + + +def acc(target, source, coefficient=Q(1)): + for key, value in source.items(): + result = target.get(key, 0) + coefficient * value + if result: + target[key] = result + else: + target.pop(key, None) + + +def rank(vectors): + basis = {} + for x in vectors: + while x: + lead = x.bit_length() - 1 + if lead not in basis: + basis[lead] = x + break + x ^= basis[lead] + return len(basis) + + +def register(wire): + kind, index = wire + need(kind in ('L', 'C'), 'Core register namespace') + need(0 <= index < (704 if kind == 'L' else 8), 'Core register range') + return index + (704 if kind == 'C' else 0) + + +def price(kind, coefficient=None): + if kind in ('clear', 'copy'): + return 2 + coefficient = Q(coefficient) + numerator = abs(coefficient.numerator) + denominator = coefficient.denominator + need(numerator > 0 and denominator & (denominator - 1) == 0, 'Nonzero dyadic scalar') + if kind == 'scale': + need(numerator & (numerator - 1) == 0, 'Power-of-two scale') + return 2 * (abs(numerator.bit_length() - denominator.bit_length()) + (coefficient < 0)) + need(kind == 'add', 'Scalar opcode') + return 2 * (3 + numerator.bit_length() - 1 + numerator.bit_count() + denominator.bit_length() - 1) + + +def core_matrix(events, word, orientation, J): + """Pull all output covectors through the circuit in reverse order.""" + columns = [{i: Q(1)} for i in range(712)] + for event in reversed(events): + if event[0] != 'scalar': + continue + gate = event[1] + op, target = gate[0], register(gate[1]) + if op == 'clear': + need(target >= 704, 'Only owned core arrays are cleared') + columns[target] = {} + elif op == 'scale': + c = Q(*gate[2:]) + columns[target] = {i: c * value for i, value in columns[target].items()} + else: + need(op == 'add', 'Core ADD grammar') + source = register(gate[2]) + need(source != target, 'Distinct ADD wires') + acc(columns[source], columns[target], Q(*gate[3:])) + for source, actual in enumerate(columns): + expected = {source: Q(1)} if source < 704 else {} + if orientation == 'forward' and source < 112: + acc(expected, {112 + p: J[p][source] for p in range(112) if J[p][source]}) + if orientation == 'backward' and 112 <= source < 224: + acc(expected, {p: -J[p][source - 112] for p in range(112) if J[p][source - 112]}) + need(actual == expected, orientation + ' reverse transpose column ' + str(source)) + + frames = word['start'][:] + [None] * 8 + profile = Counter() + scalar_cost = 0 + scalar_count = 0 + for event in events: + tag = event[0] + if tag == 'scalar': + gate, declared = event[1:] + op, target = gate[0], register(gate[1]) + scalar_count += 1 + if op == 'clear': + need(target >= 704, 'Owned clear at actual frame') + frames[target] = declared + scalar_cost += price(op) + else: + need(frames[target] == declared, 'Declared scalar target frame') + if op == 'add': + need(frames[register(gate[2])] == declared, 'Declared scalar source frame') + scalar_cost += price(op, Q(*(gate[3:] if op == 'add' else gate[2:]))) + elif tag == 'climb': + _, _, wire, old, new, paid = event + need(frames[wire] == old, 'Declared native input frame') + a, b = word['frames'][old], word['frames'][new] + need(rank(a + b) == len(b), 'Nested native subspaces') + need(paid == len(b) - len(a) > 0, 'Declared native rank') + frames[wire] = new + profile[paid] += 1 + elif tag == 'adapter': + _, direction, wire, frame = event + endpoint = word['start'] if direction == 'old_to_new' else word['final'] + need(direction in ('old_to_new', 'new_to_old') and endpoint[wire] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, wire, entry, *tail = event + need(side in ('pre', 'post'), 'Residual adapter side') + need(entry == word['start'][wire] and (tail[0] if tail else 1) == word['final'][wire], 'Residual adapter endpoints') + else: + need(tag == 'phase', 'Core event grammar') + need(frames == word['final'] + [0] * 8, 'Complete core frame ledger') + need(scalar_cost == 202138 and sum(k * v for k, v in profile.items()) == 5522, 'Core invoice') + return columns, {'exact_input_columns': 712, 'scalar_events': scalar_count, 'scalar_cost': scalar_cost, 'profile': dict(sorted(profile.items())), 'native_mass': 5522} + + +def atom(source): + return {((), source): Q(1)} + + +def op_left(poly, port, sign): + letter = sign * (port + 1) + out = {} + for (word, source), coefficient in poly.items(): + reduced = word[1:] if word and word[0] == -letter else (letter,) + word + acc(out, {(reduced, source): coefficient}) + return out + + +def boundary(events, data): + data = [dict(poly) for poly in data] + for event in events: + tag, target = event['kind'], event['target'] + need(target < 224 or target == 704, 'Boundary touches only data or C0') + if tag == 'clear': + need(target == 704, 'Boundary clear is owned C0') + data[target] = {} + elif tag == 'copy': + source = event['source'] + need(target == 704 and not data[target] and source < 224, 'Owned physical copy') + data[target] = dict(data[source]) + elif tag == 'line': + need(target == 704 and event['port'] in A and event['power'] in (-1, 1), 'Selected signed line on C0') + data[target] = op_left(data[target], event['port'], event['power']) + elif tag == 'scale': + c = Q(event['coefficient']) + data[target] = {key: c * value for key, value in data[target].items() if c * value} + else: + need(tag == 'add' and (event['source'] < 224 or event['source'] == 704), 'Physical common-address ADD') + need(target != event['source'], 'Distinct physical ADD arrays') + acc(data[target], data[event['source']], Q(event['coefficient'])) + return data + + +def apply_matrix(columns, data): + output = [{} for _ in range(712)] + for source, column in enumerate(columns): + for target, coefficient in column.items(): + acc(output[target], data[source], coefficient) + return output + + +def evaluate(columns, before, after): + data = [atom(i) for i in range(712)] + for p in range(112): + data[p] = op_left(data[p], p, 1) + data = boundary(before, data) + for p in range(112): + data[p] = op_left(data[p], p, -1) + data = apply_matrix(columns, data) + for p in range(112): + data[112 + p] = op_left(data[112 + p], p, -1) + physical_without_F = boundary(after, data) + output = [dict(poly) for poly in physical_without_F] + for p in range(112): + output[112 + p] = op_left(output[112 + p], p, 1) + return output, physical_without_F + + +def linear_combination(coefficients, data): + result = {} + for key, coefficient in coefficients.items(): + acc(result, data[key], coefficient) + return result + + +def expected_map(kind, B, D): + output = [atom(i) if i < 704 else {} for i in range(712)] + r = {a: op_left(atom(112 + a), a, -1) for a in A} + qa = {a: op_left(atom(a), a, 1) for a in A} + if kind.startswith('B'): + for a in A: + output[a] = linear_combination({112 + p: c for p, c in B[a].items()}, output) + acc(output[a], r[a], 1 if kind == 'B0' else -12) + output[112 + a] = qa[a] + for p in U: + acc(output[p], atom(112 + p), -1) + if kind != 'B16': + acc(output[p], linear_combination(D[p], qa)) + if kind == 'B0': + acc(output[p], linear_combination(D[p], r), -1) + else: + acc(output[112 + p], linear_combination(D[p], r), -1) + else: + queries = {a: linear_combination(B[a], output) for a in A} + for a in A: + acc(output[a], op_left(queries[a], a, -1), -1) + for p in U: + acc(output[112 + p], atom(p)) + acc(output[112 + p], linear_combination(D[p], queries), -1) + if kind == 'F0': + acc(output[112 + p], linear_combination(D[p], r), -1) + return output + + +def check_inverse(kind, out, B, D): + recovered = [{} for _ in range(224)] + if kind.startswith('B'): + r = {} + for a in A: + r[a] = dict(out[a]) + acc(r[a], linear_combination({112 + p: c for p, c in B[a].items()}, out), -1) + recovered[112 + a] = op_left(r[a], a, 1) + recovered[a] = op_left(out[112 + a], a, -1) + for p in U: + v = dict(out[112 + p]) + if kind != 'B0': + acc(v, linear_combination(D[p], r)) + recovered[112 + p] = v + recovered[p] = dict(out[p]) + acc(recovered[p], v) + if kind != 'B16': + acc(recovered[p], linear_combination({112 + a: c for a, c in D[p].items()}, out), -1) + if kind == 'B0': + acc(recovered[p], linear_combination(D[p], r)) + else: + query = {a: linear_combination(B[a], out) for a in A} + r = {a: op_left(out[112 + a], a, -1) for a in A} + for a in A: + recovered[a] = dict(out[a]) + acc(recovered[a], op_left(query[a], a, -1)) + recovered[112 + a] = dict(out[112 + a]) + for p in U: + recovered[p] = dict(out[p]) + recovered[112 + p] = dict(out[112 + p]) + acc(recovered[112 + p], out[p], -1) + acc(recovered[112 + p], linear_combination(D[p], query)) + if kind == 'F0': + acc(recovered[112 + p], linear_combination(D[p], r)) + need(recovered == [atom(i) for i in range(224)], kind + ' data inverse') + + +def rotate(pair, phase): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[phase % 4] + + +def mono(record, x, value): + rows, quadratic, alpha = record['matrix_rows'], record['quadratic_rows'], record['linear_Z4'] + need(len(rows) == len(quadratic) == len(alpha) == 9 and rank(rows) == 9, 'Monomial matrix dimensions') + target = sum(((row & x).bit_count() % 2) << j for j, row in enumerate(rows)) ^ record['offset'] + exponent = record['phase'] + exponent += sum(alpha[j] for j in range(9) if (x >> j) & 1) + exponent += 2 * sum((quadratic[j] & x & ~((1 << (j + 1)) - 1)).bit_count() for j in range(9) if (x >> j) & 1) + return target, rotate(value, exponent) + + +def kernel_column(record, x): + target, value = mono(record['right'], x, (1, 0)) + a, b = value + result = {} + for y, coefficient in ((target, (a - b, a + b)), (target ^ 1, (a + b, b - a))): + output, coefficient = mono(record['left'], y, coefficient) + need(output not in result, 'Two distinct kernel addresses') + result[output] = coefficient + return result + + +def kernel_checks(records, ports): + decoder_path = LANES / 'interface-proof/verify_native_lift.py' + hashed(decoder_path, '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b') + spec = importlib.util.spec_from_file_location('independent_native_decoder', decoder_path) + decoder = importlib.util.module_from_spec(spec) + spec.loader.exec_module(decoder) + need({(record['port'], record['inverse']) for record in records} == {(a, inv) for a in A for inv in (False, True)}, 'Exact signed line class set') + count = 0 + for item in records: + p, inverse, recipe = item['port'], item['inverse'], item['recipe'] + need(recipe['rank'] == 1, 'Each added child has rank one') + sign = -1 if inverse else 1 + direct = (('C', ports[p], sign),) + decoder.equal(decoder.recipe(recipe), direct, 'Independent signed line ' + str((p, sign))) + decoder.equal(direct + decoder.fourier(9), decoder.fourier(9) + direct, 'Line commutes with common F') + for x in range(512): + expected = {x: (1, sign), x ^ ports[p]: (1, -sign)} + need(kernel_column(recipe, x) == expected, 'Exact signed line Gaussian column') + count += 1 + bad = deepcopy(records[0]['recipe']) + bad['left']['phase'] = (bad['left']['phase'] + 1) % 4 + need(kernel_column(bad, 0) != kernel_column(records[0]['recipe'], 0), 'Wrong line global phase is rejected') + return {'signed_recipes': len(records), 'all_basis_columns': count, 'independent_Pauli_and_zero_state_checks': len(records), 'F_commutation_checks': len(records)} + + +def main(): + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + for prefix in PACKET_PINS: + freeze = load(SOURCE / (prefix + '-FREEZE.json')) + entries = freeze.get('files', freeze) + for name, pin in entries.items(): + zipped = name.endswith(' decompressed') + path = SOURCE / name.removesuffix(' decompressed') + hashed(path, pin, zipped) + packets = {prefix: load(SOURCE / (prefix + '-PROGRAM.json.gz'), pin, True) for prefix, pin in PACKET_PINS.items()} + b = packets['RAW-SELECTED-BACKWARD'] + f = packets['RAW-SELECTED-FORWARD'] + b0 = packets['ZERO-LINE-BACKWARD'] + core = load(LANES / 'circuit-interface/CENTRE-FREE-PROGRAMS.json.gz', CORE_PIN, True) + word_path = ROOT / 'work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz' + raw_word = hashed(word_path, WORD_PIN) + word = json.loads(gzip.decompress(raw_word)) + for p, direction in enumerate(word['ports']): + start_x = word['frames'][word['start'][p]] + start_y = word['frames'][word['start'][112 + p]] + final_x = word['frames'][word['final'][p]] + final_y = word['frames'][word['final'][112 + p]] + need(len(start_x) == rank(start_x + [direction]) == 1, 'Source endpoint line subspace') + need(start_y == [] and len(final_x) == 9, 'Input Y and output X endpoint frames') + need(len(final_y) == 8 and all((v & direction).bit_count() % 2 == 0 for v in final_y), 'Output Y endpoint hole subspace') + interface = load(LANES / 'circuit-interface/INTERFACE.json', INTERFACE_PIN) + native_review = load(LANES / 'interface-proof/NATIVE-LIFT-REVIEW.json', '61b3990c983b96b8bff01feab8c83a612ea41612b948b1059186ce9ffa9692ea') + need(native_review['changed_payload_sha256'] == CORE_PIN and native_review['status'] == 'PASS_INDEPENDENT_NATIVE_FRAME_LIFT_AND_FINITE_LOCAL_BILL', 'Inherited native review binding') + signed = load(LANES / 'paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIFORM-SIGNED-PROGRAMS.json.gz', KERNEL_PACKET_PIN, True) + need(b['retained_core'] == b0['retained_core'] == core['backward'] and f['retained_core'] == core['forward'], 'Byte-exact inherited core event arrays') + need(b['line_recipes'] == f['line_recipes'] == signed['line_recipes'], 'Signed line recipe binding') + need(b0['physical_exchange'] == b['physical_exchange'] and b0['post_lower_shear'] == b['post_lower_shear'] and b0['added_native_lines'] == 0, 'Zero-line B subword binding') + need(f['input_physical_exchange'] == f['output_physical_exchange'] == b['physical_exchange'], 'All physical swap tapes') + + R = [[Q(row.get(str(p), '0')) for p in range(112)] for row in interface['R']] + J = [[Q(p == q) - sum(row[p] * row[q] for row in R) / 4 for q in range(112)] for p in range(112)] + B = {a: {p: -J[a][p] for p in U if J[a][p]} for a in A} + D = {p: {a: -J[p][a] for a in A if J[p][a]} for p in U} + need(all(J[a][c] == 0 for a in A for c in A), 'Selected block of J is zero') + need(all(sum(B[a].get(p, 0) * D[p].get(c, 0) for p in U) == 13 * (a == c) for a in A for c in A), 'BD equals 13I') + need(all(J[p][q] == Q(p == q) - sum(D[p].get(a, 0) * B[a].get(q, 0) for a in A) for p in U for q in U), 'Ordinary block is I-DB') + matrices, core_checks = {}, {} + for orientation in ('forward', 'backward'): + matrices[orientation], core_checks[orientation] = core_matrix(core[orientation], word, orientation, J) + print('PASS reverse transpose core', orientation, flush=True) + + variants = { + 'B0': ('backward', b0['physical_exchange'], b0['post_lower_shear'], 206506, 5522), + 'B8': ('backward', b['prefix'] + b['physical_exchange'], b['post_lower_shear'], 210714, 5530), + 'B16': ('backward', b['prefix'] + b['physical_exchange'], b['post_lower_shear'] + b['optional_ordinary_correction'], 214922, 5538), + 'F0': ('forward', f['input_physical_exchange'], f['output_physical_exchange'], 202554, 5522), + 'F8': ('forward', f['optional_input_code'] + f['input_physical_exchange'], f['output_physical_exchange'], 206762, 5530), + } + reports = {} + for kind, (orientation, before, after, scalar, mass) in variants.items(): + actual, physical = evaluate(matrices[orientation], before, after) + expected = expected_map(kind, B, D) + need(actual == expected, kind + ' exact free-operator matrix') + need(actual[224:704] == [atom(i) for i in range(224, 704)] and actual[704:] == [{}] * 8, kind + ' borrowed and private outputs') + if kind.startswith('B'): + need(all(physical[112 + a] == atom(a) for a in A), kind + ' physical selected Y is F times original selected X') + check_inverse(kind, actual, B, D) + extra_scalar = sum(price(e['kind'], e.get('coefficient')) for e in before + after if e['kind'] != 'line') + lines = sum(e['kind'] == 'line' for e in before + after) + need(scalar == 202138 + extra_scalar and mass == 5522 + lines, kind + ' exact invoice') + reports[kind] = {'all_input_columns': 712, 'data_inverse_columns': 224, 'helpers_restored': 480, 'owned_private_zero': 8, 'scalar_cost': scalar, 'native_mass': mass, 'new_rank_one_children': lines} + print('PASS local free-operator map', kind, flush=True) + + controls = {} + expected = expected_map('B8', B, D) + controls['omit_B8_input_code'] = evaluate(matrices['backward'], b['physical_exchange'], b['post_lower_shear'])[0] != expected + controls['omit_B_output_lower_shear'] = evaluate(matrices['backward'], b['prefix'] + b['physical_exchange'], [])[0] != expected + controls['omit_B_input_swap'] = evaluate(matrices['backward'], b['prefix'], b['post_lower_shear'])[0] != expected + wrong = deepcopy(b['prefix']) + for event in wrong: + if event['kind'] == 'line': + event['power'] *= -1 + controls['wrong_inverse_line_sign'] = evaluate(matrices['backward'], wrong + b['physical_exchange'], b['post_lower_shear'])[0] != expected + controls['omit_F_output_swap'] = evaluate(matrices['forward'], f['optional_input_code'] + f['input_physical_exchange'], [])[0] != expected_map('F8', B, D) + logical_swap = [atom(i) for i in range(712)] + for a in A: + logical_swap[a], logical_swap[112 + a] = logical_swap[112 + a], logical_swap[a] + logical_swap = boundary(b0['post_lower_shear'], apply_matrix(matrices['backward'], logical_swap)) + controls['replace_physical_swap_by_logical_swap'] = logical_swap != expected_map('B0', B, D) + moved = expected_map('F8', B, D) + a = A[0] + moved[a] = atom(a) + for p, coefficient in B[a].items(): + acc(moved[a], op_left(atom(p), p, -1), -coefficient) + controls['move_Q_through_dense_B'] = moved != expected_map('F8', B, D) + witness_port = next(p for p in B[a] if word['ports'][p] != word['ports'][a]) + actual_selected_column = {0: (1, -1), word['ports'][a]: (1, 1)} + actual_ordinary_column = {0: (1, -1), word['ports'][witness_port]: (1, 1)} + controls['actual_native_Q_through_B_counterexample'] = actual_selected_column != actual_ordinary_column + need(all(controls.values()), 'Every operator mutation is rejected') + lines = kernel_checks(signed['line_recipes'], word['ports']) + result = { + 'status': 'PASS_INDEPENDENT_RAW_SELECTED_LOCAL_REVIEW', + 'method': 'Reverse transpose accumulation of the retained scalar core, followed by matrix composition over a free group algebra of the Q operators. No producer code is imported.', + 'core': core_checks, + 'variants': reports, + 'signed_line_checks': lines, + 'data_endpoint_frame_checks': 448, + 'negative_controls': controls, + 'actual_Q_B_noncommutation_witness': {'selected_port': a, 'ordinary_port': witness_port, 'B_entry': str(B[a][witness_port]), 'selected_direction': word['ports'][a], 'ordinary_direction': word['ports'][witness_port], 'basis_input': 0, 'Gaussian_denominator': 2}, + 'boundary_access': 'Boundary ADDs are actual common-address operations on physical data arrays. They do not identify unequal logical frames. The coded endpoint formulas keep those operators explicitly.', + 'inherited_native_review_sha256': '61b3990c983b96b8bff01feab8c83a612ea41612b948b1059186ce9ffa9692ea', + 'not_repeated': ['Full old-core Clifford recipe sweep', 'Full 712-array physical Gaussian operator replay'], + 'not_claimed': ['Actual inter-call controller or decoder', 'New child hosting', 'Complete recursive scalar, storage, and precision invoice', 'New kappa'], + 'seconds': time.monotonic() - started, + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), + } + (HERE / 'RAW-REVIEW-INPUTS.json').write_text(json.dumps(INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256((HERE / 'RAW-REVIEW-INPUTS.json').read_bytes()).hexdigest() + (HERE / 'RAW-REVIEW.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_serial_balanced.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_serial_balanced.py new file mode 100644 index 0000000000..df720bff22 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/check_serial_balanced.py @@ -0,0 +1,491 @@ +#!/usr/bin/env python3 +"""Review complete serial balanced words with exact ordered operators.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +import gzip +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = LANES.parents[2] +SOURCE = LANES / 'new-core-transfer-20261017' +INPUTS = {} + + +def need(test, label): + if not test: + raise ValueError(label) + + +def read_bytes(path, pin=None, zipped=False): + raw = path.read_bytes() + value = gzip.decompress(raw) if zipped else raw + record = {'sha256': hashlib.sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = hashlib.sha256(value).hexdigest() + INPUTS[str(path.relative_to(ROOT))] = record + need(pin is None or hashlib.sha256(value).hexdigest() == pin, 'Input pin: ' + str(path)) + return value + + +def read(path, pin=None, zipped=False): + return json.loads(read_bytes(path, pin, zipped)) + + +module_path = HERE / 'check_raw_selected.py' +read_bytes(module_path, 'c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef') +spec = importlib.util.spec_from_file_location('independent_scalar_algebra', module_path) +alg = importlib.util.module_from_spec(spec) +spec.loader.exec_module(alg) +add, atom, line = alg.acc, alg.atom, alg.op_left + + +def combine(row, values): + result = {} + for p, coefficient in row.items(): + add(result, values[p], coefficient) + return result + + +def inverse(matrix): + n = len(matrix) + a = [list(row) + [Q(i == j) for j in range(n)] for i, row in enumerate(matrix)] + for p in range(n): + pivot = next((r for r in range(p, n) if a[r][p]), None) + need(pivot is not None, 'Invertible centre matrix') + a[p], a[pivot] = a[pivot], a[p] + scale = a[p][p] + a[p] = [value / scale for value in a[p]] + for r in range(n): + if r != p and a[r][p]: + scale = a[r][p] + a[r] = [x - scale * y for x, y in zip(a[r], a[p])] + result = [row[n:] for row in a] + need(all(sum(matrix[i][k] * result[k][j] for k in range(n)) == (i == j) + and sum(result[i][k] * matrix[k][j] for k in range(n)) == (i == j) + for i in range(n) for j in range(n)), 'Two centre inverse orders') + return result + + +def core_operator(events, word, J, direction): + n = len(word['start']) + zeros = {z: n + 8 + i for i, z in enumerate(word['zero_buffers'])} + total = n + 8 + len(zeros) + need(n == 632 and len(zeros) == 91, 'Current provider dimensions') + + def reg(wire): + kind, value = wire + if kind == 'L': + need(0 <= value < n, 'Live field range') + return value + if kind == 'C': + need(0 <= value < 8, 'Owned field range') + return n + value + need(kind == 'Z' and value in zeros, 'Private field range') + return zeros[value] + + columns = [atom(i) for i in range(total)] + for event in reversed(events): + tag = event[0] + if tag == 'scalar': + gate = event[1] + op, target = gate[0], reg(gate[1]) + if op == 'clear': + need(n <= target < n + 8, 'Only owned fields clear') + columns[target] = {} + elif op == 'scale': + c = Q(*gate[2:]) + columns[target] = {key: c * value for key, value in columns[target].items()} + else: + need(op == 'add', 'Core scalar opcode') + add(columns[reg(gate[2])], columns[target], Q(*gate[3:])) + elif tag == 'warp': + target, letter = reg(event[1]), event[2] + result = {} + for (word_value, output), coefficient in columns[target].items(): + reduced = word_value[:-1] if word_value and word_value[-1] == -letter else word_value + (letter,) + add(result, {(reduced, output): coefficient}) + columns[target] = result + elif tag == 'zero_buffer' and event[1] == 'alloc': + columns[zeros[event[2]]] = {} + for source, actual in enumerate(columns): + expected = atom(source) if source < n or n < source < n + 8 else {} + if direction == 'forward' and source < 112: + add(expected, {((), 112 + p): J[p][source] for p in range(112) if J[p][source]}) + if direction == 'backward' and 112 <= source < 224: + add(expected, {((), p): -J[p][source - 112] for p in range(112) if J[p][source - 112]}) + need(actual == expected, direction + ' reverse free-operator column ' + str(source)) + rational = [{output: c for (_, output), c in column.items()} for column in columns[:n + 8]] + + frames = word['start'][:] + [0] * 8 + [None] * len(zeros) + active, allocated, freed = set(), set(), set() + profile, tags = Counter(), Counter() + scalar = 0 + allowed_warps = set(map(tuple, word['warp_edges'])) + for event in events: + tag = event[0] + tags[tag] += 1 + if tag == 'scalar': + gate, declared = event[1:] + op, target = gate[0], reg(gate[1]) + if op == 'clear': + need(n <= target < n + 8, 'Owned frame clear') + frames[target] = declared + scalar += alg.price(op) + else: + need(frames[target] == declared, 'Core scalar target frame') + need(target < n + 8 or target in active, 'Core target lifetime') + if op == 'add': + source = reg(gate[2]) + need(frames[source] == declared, 'Core scalar source frame') + need(source < n + 8 or source in active, 'Core source lifetime') + scalar += alg.price(op, Q(*(gate[3:] if op == 'add' else gate[2:]))) + elif tag == 'climb': + _, _, wire, old, new, paid = event + before, after = word['frames'][old], word['frames'][new] + need(frames[wire] == old, 'Child input frame') + need(alg.rank(before + after) == len(after), 'Nested child frames') + need(paid == len(after) - len(before) > 0, 'Paid child rank') + frames[wire] = new + profile[paid] += 1 + elif tag == 'warp': + _, wire, symbol, old, new = event + target = reg(wire) + need(frames[target] == old, 'Warp input frame') + need((1 if symbol > 0 else -1, abs(symbol), old, new) in allowed_warps, 'Canonical signed warp class') + need(target < n + 8 or target in active, 'Warp private lifetime') + frames[target] = new + elif tag == 'zero_buffer': + target = zeros[event[2]] + if event[1] == 'alloc': + need(target not in allocated and target not in active, 'Single zero allocation') + allocated.add(target) + active.add(target) + frames[target] = 1 + else: + need(event[1] == 'free' and target in active and target not in freed and frames[target] == 1, 'Return zero at FULL') + active.remove(target) + freed.add(target) + elif tag == 'adapter': + _, side, wire, frame = event + endpoint = word['start'] if side == 'old_to_new' else word['final'] + need(side in ('old_to_new', 'new_to_old') and endpoint[wire] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, wire, entry, *tail = event + need(side in ('pre', 'post') and entry == word['start'][wire] and (tail[0] if tail else 1) == word['final'][wire], 'Helper adapter endpoints') + else: + need(tag == 'phase', 'Core event grammar') + need(not active and allocated == freed == set(zeros.values()), 'All zero-buffer lifetimes close') + need(frames[:n + 8] == word['final'] + [0] * 8, 'Final core frames') + need(scalar == 164514 and dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Core complete invoice') + need(tags['warp'] == 240, 'All retained warps') + return rational, {'orientation': direction, 'extended_columns': total, 'arbitrary_columns': n + 8, + 'private_zero_buffers': len(zeros), 'scalar': scalar, 'events': dict(tags), + 'native_profile': dict(sorted(profile.items()))} + + +def boundary(events, data, n): + result = [dict(row) for row in data] + for event in events: + kind, target = event['kind'], event['target'] + need(0 <= target < 224 or n <= target < n + 8, 'Boundary target access') + if kind == 'clear': + need(n <= target < n + 8, 'Only owned fields clear') + result[target] = {} + elif kind in ('scale', 'divide_odd'): + if kind == 'divide_odd': + need(target == n and event['divisor'] == 3, 'Distinct owned /3 opcode') + coefficient = Q(1, 3) + else: + coefficient = Q(event['coefficient']) + need(coefficient.denominator & (coefficient.denominator - 1) == 0, 'Old SCALE is dyadic') + result[target] = {key: coefficient * value for key, value in result[target].items()} + else: + need(kind == 'add', 'No new native operation') + source = event['source'] + need(0 <= source < 224 or n <= source < n + 8, 'Boundary source access') + need(source != target, 'Distinct ADD fields') + add(result[target], result[source], Q(event['coefficient'])) + return result + + +def factor_frames(events, bank, frame, n): + frames = {p: frame for p in range(bank, bank + 112)} + frames.update({p: 0 for p in range(n, n + 8)}) + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(target in frames, 'Factor target bank') + if kind == 'clear': + need(n <= target < n + 8, 'Owned factor preparation') + frames[target] = declared + else: + need(frames[target] == declared == frame, 'Factor target common frame') + if kind == 'add': + source = event['source'] + need(source in frames and frames[source] == declared, 'Factor source common frame') + else: + need(n <= target < n + 8, 'Scale or divide only an owned query') + need(all(frames[p] == 0 for p in range(n, n + 8)), 'All factor-owned frames return to I') + + +def execute(program, matrix, n): + state = [atom(i) for i in range(n + 8)] + for p in range(112): + state[p] = line(state[p], p, 1) + state = boundary(program['prefix'] + program['input_exchange'], state, n) + for p in range(112): + state[p] = line(state[p], p, -1) + result = [{} for _ in range(n + 8)] + for source, column in enumerate(matrix): + for target, coefficient in column.items(): + add(result[target], state[source], coefficient) + for p in range(112): + result[112 + p] = line(result[112 + p], p, -1) + physical_without_F = boundary(program['suffix'] + program['owned_cleanup'], result, n) + result = deepcopy(physical_without_F) + for p in range(112): + result[112 + p] = line(result[112 + p], p, 1) + return result, physical_without_F + + +def geometry(r, selected): + S, U = tuple(selected), tuple(p for p in range(112) if p not in selected) + gram = [[sum(row[p] * row[q] for row in r) / 4 for q in range(112)] for p in range(112)] + J = [[Q(p == q) - gram[p][q] for q in range(112)] for p in range(112)] + T = [[sum(r[i][p] * r[j][p] for p in S) / 4 - 13 * (i == j) for j in range(8)] for i in range(8)] + ti = inverse(T) + C = [[sum(r[i][p] * ti[i][j] * r[j][q] for i in range(8) for j in range(8)) / 4 + for q in range(112)] for p in range(112)] + hi = {p: {q: Q(p == q) + C[p][q] for q in U if Q(p == q) + C[p][q]} for p in U} + h = {p: {q: J[p][q] for q in U if J[p][q]} for p in U} + return S, U, J, C, h, hi + + +def expected_map(name, S, U, J, C, h, hi, n): + identity = [atom(i) for i in range(n + 8)] + value = deepcopy(identity) + qa = {p: line(identity[p], p, 1) for p in S} + qb = {p: line(identity[112 + p], p, -1) for p in S} + if name in ('balanced_backward', 'diagonal_backward'): + for p in S: + value[p] = dict(qb[p]) + value[112 + p] = dict(qa[p]) + if name == 'balanced_backward': + add(value[p], combine({q: -J[p][q] for q in S if J[p][q]}, qa)) + add(value[p], combine({112 + q: -J[p][q] for q in U if J[p][q]}, identity)) + else: + add(value[p], qa[p], -1) + for p in U: + value[p] = combine(hi[p], identity) if name == 'balanced_backward' else dict(identity[p]) + add(value[p], identity[112 + p], -1) + if name == 'balanced_backward': + for q, c in hi[p].items(): + add(value[p], combine({s: J[q][s] for s in S if J[q][s]}, qa), -c) + if name == 'diagonal_backward': + z = {p: qa[p] if p in S else identity[p] for p in range(112)} + for p in range(112): + add(value[p], combine({q: C[p][q] for q in range(112) if C[p][q]}, z)) + else: + need(name == 'balanced_forward', 'Known local variant') + for p in S: + query = combine({q: J[p][q] for q in S if J[p][q]}, qb) + add(query, combine({q: J[p][q] for q in U if J[p][q]}, identity)) + add(value[p], line(query, p, -1)) + for p in U: + value[112 + p] = combine(h[p], identity) + add(value[112 + p], combine({112 + q: c for q, c in h[p].items()}, identity)) + add(value[112 + p], combine({q: J[p][q] for q in S if J[p][q]}, qb)) + value[n:] = [{} for _ in range(8)] + return value + + +def check_inverse(name, actual, S, U, J, r, h, hi, n): + recovered = deepcopy(actual) + if name in ('balanced_backward', 'diagonal_backward'): + qa = {p: actual[112 + p] for p in S} + for p in S: + recovered[p] = line(qa[p], p, -1) + for p in U: + recovered[p] = combine(h[p], actual) + add(recovered[p], combine({112 + q: c for q, c in h[p].items()}, actual)) + add(recovered[p], combine({q: J[p][q] for q in S if J[p][q]}, qa)) + for p in S: + query = dict(actual[p]) + if name == 'diagonal_backward': + row = {q: sum(v[p] * v[q] for v in r) / 4 for q in U} + add(query, combine(row, actual), -1) + add(query, combine({q: J[p][q] for q in S if J[p][q]}, qa)) + add(query, combine({112 + q: J[p][q] for q in U if J[p][q]}, actual)) + recovered[112 + p] = line(query, p, 1) + else: + qb = {p: line(actual[112 + p], p, -1) for p in S} + ordinary = {} + for p in U: + ordinary[p] = dict(actual[112 + p]) + add(ordinary[p], combine({q: J[p][q] for q in S if J[p][q]}, qb), -1) + for p in U: + recovered[112 + p] = combine(hi[p], ordinary) + add(recovered[112 + p], actual[p], -1) + for p in S: + query = combine({q: J[p][q] for q in S if J[p][q]}, qb) + add(query, combine({q: J[p][q] for q in U if J[p][q]}, actual)) + add(recovered[p], line(query, p, -1), -1) + need(recovered[:n] == [atom(i) for i in range(n)], 'Ordered content inverse') + + +def invoice(events): + scalar, scans = 0, 0 + for event in events: + if event['kind'] == 'divide_odd': + need(event['divisor'] == 3, 'Only fixed /3 scans') + scans += 2 + else: + scalar += alg.price(event['kind'], event.get('coefficient')) + return scalar, scans + + +def factor_binding(events, word, offset, n): + def field(p): + if p == n: + return 112 + need(offset <= p < offset + 112, 'Factor grid-word data bank') + return p - offset + + actual = [] + for event in events: + kind, target = event['kind'], field(event['target']) + if kind == 'clear': + actual.append([kind, target]) + elif kind == 'divide_odd': + actual.append([kind, target, event['divisor']]) + elif kind == 'scale': + actual.append([kind, target, str(Q(event['coefficient']))]) + else: + actual.append([kind, target, field(event['source']), str(Q(event['coefficient']))]) + reduced = [] + for event in word: + if event[0] == 'clear' and reduced and reduced[-1] == event: + continue + reduced.append(event) + need(actual == reduced, 'Exact odd-grid factor after seven adjacent zero-clear removals') + + +def endpoint_commutations(ports): + path = LANES / 'interface-proof/verify_native_lift.py' + read_bytes(path, '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b') + spec = importlib.util.spec_from_file_location('independent_balanced_endpoint_decoder', path) + decoder = importlib.util.module_from_spec(spec) + spec.loader.exec_module(decoder) + for direction in ports: + for sign in (-1, 1): + c = (('C', direction, sign),) + decoder.equal(c + decoder.fourier(9), decoder.fourier(9) + c, 'Actual signed line commutes with F') + return 2 * len(ports) + + +def main(): + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + freeze = read(SOURCE / 'FREEZE-SERIAL-BALANCED.json', 'fec84012aa803703efe1bf5c733f5c03fe2269f45054496ae55a212f4f96c42f') + for name, pin in freeze['files'].items(): + read_bytes(SOURCE / name, pin) + packet = read(SOURCE / 'SERIAL-BALANCED-PROGRAMS.json.gz', 'a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e', True) + core = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', True) + native = read(LANES / 'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json', '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d') + need(native['status'] == 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES' and native['clean_payload_sha256'] == packet['source_pins']['core'], 'Both literal native orientations are bound') + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in core['R']] + need(len(r) == 8 and all(sum(r[i][p] * r[j][p] for p in range(112)) == 56 * (i == j) for i in range(8) for j in range(8)), 'Actual full row Gram matrix') + odd_path = LANES / 'independent-review-20261017/odd-grid-a8-20261017' + odd_words = read(odd_path / 'A8-ODD-GRID-WORDS.json', '525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9') + read_bytes(odd_path / 'A8-ODD-GRID.md', 'e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01') + read(odd_path / 'A8-ODD-GRID.json', '0c1dc7cc08de30a14b42c744e73d3963a68acd83bc381f884867b85bfeaee96a') + commutations = {} + for provider, item in core['providers'].items(): + commutations[provider] = endpoint_commutations(item['canonical']['ports']) + cores, core_reports, reports = {}, {}, {} + counts = {'one_minor': {'balanced_backward': (171474, 16), 'diagonal_backward': (171730, 16), 'balanced_forward': (171650, 0)}, + 'five_minors': {'balanced_backward': (170274, 0), 'diagonal_backward': (171554, 0), 'balanced_forward': (171266, 0)}} + for family_name, family in packet['families'].items(): + S, U, J, C, h, hi = geometry(r, family['selected_S']) + need(list(U) == family['ordinary_U'] and len(S) in (8, 40), 'Exact selected partition') + need(all(sum(r[i][p] * r[j][p] for p in U) == 4 * family['lambda'] * (i == j) for i in range(8) for j in range(8)), 'Actual ordinary Gram matrix') + reports[family_name] = {} + for provider, item in family['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(word == core['providers'][provider]['canonical'], 'Current canonical source') + for p, direction in enumerate(word['ports']): + initial_x = word['frames'][word['start'][p]] + final_y = word['frames'][word['final'][112 + p]] + need(len(initial_x) == alg.rank(initial_x + [direction]) == 1, 'Actual X input line') + need(word['start'][112 + p] == 0 and word['final'][p] == 1, 'Actual common I and FULL boundaries') + need(len(final_y) == 8 and all((v & direction).bit_count() % 2 == 0 for v in final_y), 'Actual Y output hole') + reports[family_name][provider] = {} + for name, program in item['programs'].items(): + direction = program['orientation'] + events = program['retained_core'] + need(direction in ('forward', 'backward') and events == core['providers'][provider]['programs'][direction], 'Exact current native event array') + key = provider + '/' + direction + if key not in cores: + cores[key], core_reports[key] = core_operator(events, word, J, direction) + need(program['events'] == program['prefix'] + program['input_exchange'] + events + program['suffix'] + program['owned_cleanup'], 'Literal complete event order') + factor = program['prefix'] if direction == 'forward' else program['suffix'] + factor_frames(factor, 112 if direction == 'forward' else 0, 0 if direction == 'forward' else 1, n) + need(sum(e['kind'] == 'clear' for e in factor) == 9, 'Current serial factor uses nine clears') + if family_name == 'one_minor': + factor_name = {'balanced_forward': 'H', 'balanced_backward': 'H_inverse', 'diagonal_backward': 'H_inverse_fused_upper'}[name] + factor_binding(factor, odd_words[factor_name], 112 if direction == 'forward' else 0, n) + actual, physical = execute(program, cores[key], n) + expected = expected_map(name, S, U, J, C, h, hi, n) + need(actual == expected, 'Complete ordered map: ' + family_name + '/' + provider + '/' + name) + need(actual[224:n] == [atom(p) for p in range(224, n)] and actual[n:] == [{}] * 8, 'All current helper and owned columns') + if direction == 'backward': + need(all(physical[112 + p] == atom(p) for p in S), 'Physical selected Y equals F times original X') + check_inverse(name, actual, S, U, J, r, h, hi, n) + scalar, scans = invoice(program['prefix'] + program['input_exchange'] + program['suffix'] + program['owned_cleanup']) + scalar += 164514 + need((scalar, scans) == counts[family_name][name], 'Independently counted current invoice') + controls = {} + changed = deepcopy(program) + changed['prefix' if direction == 'forward' else 'suffix'] = [] + controls['omit_factor'] = execute(changed, cores[key], n)[0] != expected + changed = deepcopy(program) + changed['input_exchange'] = [] + controls['omit_input_physical_exchange'] = execute(changed, cores[key], n)[0] != expected + if scans: + changed = deepcopy(program) + changed['suffix'] = [e for e in changed['suffix'] if e['kind'] != 'divide_odd'] + controls['omit_exact_odd_division'] = execute(changed, cores[key], n)[0] != expected + if name == 'diagonal_backward': + changed = deepcopy(program) + changed['suffix'] = [e for e in changed['suffix'] if not (e['kind'] == 'add' and e['target'] in S)] + controls['omit_selected_upper_scatter'] = execute(changed, cores[key], n)[0] != expected + need(all(controls.values()), 'Changed words reject') + reports[family_name][provider][name] = { + 'scalar_real_primitives': scalar, 'additional_real_divide_by_3_scans': scans, + 'native_mass': 5073, 'native_children': 3507, 'new_native_children': 0, + 'all_input_columns': n + 8, 'logical_helpers_under_inherited_wrapper_contract': 408, + 'owned_output_fields_zero': 8, 'private_zero_buffers': 91, + 'factor_owned_clears': 9, 'content_inverse_columns': n, 'controls': controls, + } + print('PASS serial balanced', family_name, provider, name, scalar, scans, flush=True) + result = {'status': 'PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS', 'core_checks': core_reports, 'families': reports, + 'exact_signed_endpoint_F_commutations': commutations, + 'A8_grid_factor_binding': 'All six A8 factors equal the frozen grid-theorem factors after seven adjacent zero-CLEAR removals and the proved endpoint frame assignment.', + 'odd_division_scope': 'Exact rational local operator, with /3 recorded as a separate opcode. Machine admission requires the separately reviewed common-grid contract.', + 'not_claimed': ['A dyadic-only implementation of the A8 inverse', 'Idle preparation', 'Complete controller, owners, or decoder', 'Complete recursive hosting, cost, precision, or kappa'], + 'native_dependency_sha256': '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d', + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), 'seconds': time.monotonic() - started} + (HERE / 'SERIAL-BALANCED-REVIEW-INPUTS.json').write_text(json.dumps(INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256((HERE / 'SERIAL-BALANCED-REVIEW-INPUTS.json').read_bytes()).hexdigest() + (HERE / 'SERIAL-BALANCED-REVIEW.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CANONICAL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..d4ab5a94fe Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CANONICAL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CLIFFORD-RECIPES.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CLIFFORD-RECIPES.json new file mode 100644 index 0000000000..1b3cb3620c --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/extra/CLIFFORD-RECIPES.json @@ -0,0 +1 @@ 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diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/FREEZE.json new file mode 100644 index 0000000000..0844232cc9 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/FREEZE.json @@ -0,0 +1,15 @@ +{ + "artifacts": { + "REVIEW.md": "9b0ec8cea98dc72c55f317887f30c22bd14240ca70258559862ec20ad7acb3d6", + "check.py": "3b157a685531459997c7ef78321218ef7a2134c092f98d85df20e43374da24e7", + "verified-normal/INPUTS.json": "fd7a6502f8639fa07b8c2a408dcb525cbda42c8a44d9f2539737dcc1a20da89a", + "verified-normal/REVIEW.json": "ec9ecf398f9f79981c0fa2001019122b0bbabc591ca6b08aa3be4d9e44fd3abf", + "verified-optimized/INPUTS.json": "fd7a6502f8639fa07b8c2a408dcb525cbda42c8a44d9f2539737dcc1a20da89a", + "verified-optimized/REVIEW.json": "ec9ecf398f9f79981c0fa2001019122b0bbabc591ca6b08aa3be4d9e44fd3abf" + }, + "no_publication": true, + "normal_optimized_inputs_equal": true, + "normal_optimized_receipts_equal": true, + "producer_freeze_sha256": "84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1", + "status": "PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/REVIEW.md new file mode 100644 index 0000000000..9eabfd3c30 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/REVIEW.md @@ -0,0 +1,229 @@ +# Independent review of reduced selected interfaces + +All 18 complete frozen words pass the independent review. The short +eight-port normalized backward word costs 89,200 real dyadic scalar +primitives. The short 24-port word costs 89,592. Each has 3,507 native +children with rank mass 5,073. No material defect was found. + +For each selection and both providers, the short and long words have +the same complete map on arbitrary data and workspace. This is stronger +than equality of the original-X block. The review covers all borrowed +Y terms, the actual order of port operators, every helper output, and +all private and owned outputs. + +## Exact inputs and method + +The producer freeze is +`new-core-transfer-20261017/bipartite-eight-transfer-20261018/FREEZE.json`, +SHA-256 +`84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1`. +Its payload has decompressed SHA-256 +`740c10032c464723f4cdfecf054ef586832f9563055c62d48a78b6d9f055b62d`. +The eight-port response source freeze has SHA-256 +`c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1`. +Its payload has decompressed SHA-256 +`0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee`. +The checker verifies the complete frozen artifact manifests. + +The review imports no producer module. It uses the previously frozen +independent reverse interpreter from +`structured-transfer-review-20261018/check.py`, SHA-256 +`d55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90`. +That review's freeze has SHA-256 +`fade8160a807a2687a007a67dec3f21cfe4ebcc1840130c6650e4e2acbc6fa3b`. +This extension adds a separate rational elimination routine. It derives +the required block inverses directly from the actual response matrices. +It does not use a producer-supplied inverse as its expected result. + +The interpreter pulls output columns backward through each full word. +All arithmetic is exact. Each port Q and each native warp is a free +invertible operator. Only adjacent inverse letters cancel. Forward +and backward warp alphabets are disjoint. No step assumes that a port +operator commutes through a coordinate matrix. + +## The general normalization reduction + +Let the actual symmetric core response be + +```text +J = [L B] + [D H]. +``` + +After the selected physical input exchange, the raw backward word gives + +```text +X_S = q b - L Q a - B v, +X_U = u - D Q a - H v, +Y_S = Q a, +Y_U = v. +``` + +The original-X coefficient, acting on `z=(Qa,u)`, is + +```text +C = [-L 0] + [-D I]. +``` + +If L is invertible, the exact inverse is + +```text +N = [-L^-1 0] + [-D L^-1 I]. +``` + +Thus first apply `X_S <- -L^-1 X_S`, then apply +`X_U <- X_U + D X_S`. The second step must read the changed selected +fields. The full result is + +```text +X_S = Q a - L^-1 q b + L^-1 B v, +X_U = u - D L^-1 q b - (H-D L^-1 B)v, +Y_S = Q a, +Y_U = v. +``` + +This reduction needs only an implementation of the selected inverse +and the lower shear at the common completed frame. It does not need +H inverse or the inverse of the full response J. + +For comparison, suppose H is invertible and put + +```text +U_B = [I -B], A = U_B diag(I,H^-1) C. + [0 I] +``` + +The long scalar suffix is +`A^-1 U_B diag(I,H^-1)=C^-1=N`. This proves equality of the entire +suffix maps, including all borrowed terms. The checker verifies this +identity by independent exact matrix inversion and verifies both +literal complete words against the same ordered expected map. + +## Actual eight-port construction + +The selected set is +`[0,7,15,36,42,46,79,89]`. The checker derives all blocks from the actual +signed source response. Exact elimination gives `det(L)=1/16` and +`det(H)=2^60` on the full 104-port ordinary bank. It verifies both +inverse orders for L, H, C, and A. Every entry in these maps and their +inverses is dyadic. + +The selected inverse is a literal 28-operation scalar word at cost +192. The lower shear has 144 ADDs with coefficient magnitude `1/2`, +at cost 1,440. The complete short suffix costs 1,632. The raw backward +core with its selected exchange costs 87,568. Their total is 89,200. + +The two ordinary gauges each cost 3,696. Each contains the exact +previously reviewed 64-port Hadamard word, with its 32 physical +exchanges included in the scalar bill. The current 40-port ordinary +gauge is also checked as a literal scalar word. No eight-port boundary +word reads or writes an owned or private field. + +| Eight-port complete word | Scalar primitives | +| --- | ---: | +| Raw backward | 87,568 | +| Balanced backward | 91,264 | +| Diagonal backward | 92,704 | +| Long normalized backward | 99,472 | +| Short normalized backward | 89,200 | +| Raw forward | 87,776 | +| Balanced forward | 91,472 | + +The short normalization saves 10,272 primitives relative to the long +word. This equals two complete ordinary gauges and two upper shears: +`2*3696+2*1440=10272`. + +## Actual 24-port construction + +All records of the old scaled 24-port long word are unchanged in the +new packet. The new short suffix implements the same N at cost 1,608. The +complete words therefore cost 96,012 and 89,592, a difference of 6,420. +Both are checked as complete native computations. + +The short suffix uses the existing C0. Each centre row queries six +selected fields, divides this dyadic query by four, and scatters the +negative signed query to its 12 supported ports. The selected row has +squared norm six. Thus its updated query is minus one half of its old +query. Scaling the stored quarter-query by minus two and subtracting +the updated query restores C0 to zero. Distinct selected row queries +are orthogonal, so the other row queries are unchanged by that scatter. +The final 24 selected negations produce N. + +The reverse checker inserts zero observables before every COPY into C0 +and every CLEAR after the first admission. The short complete word has +ten such observables; the long complete word has 20. Each observable +pulls back to zero. Thus no data-dependent query is erased before reuse +or during the final frame reset. + +## Native records, frames, and arbitrary workspace + +Every complete retained core equals the corresponding frozen source +core. Every native event equals its counterpart in the clean provider +word. The complete canonical geometry also equals the exact compressed +phase-provider input bytes. The review checks all scalar frames, native +child ranks, warp classes, adapters, residual helper endpoints, and +private lifetimes. + +Each complete replay covers 640 input columns: 224 data fields, 408 +helper fields, and eight owned fields. It also checks all 91 private +output fields. Helpers are restored in the source logical coordinates, +with the exact inherited physical wrapper contract. Private outputs +are zero. All owned outputs are zero in the initial frame. Owned +admission is the permitted CLEAR operation; arbitrary borrowed helper +restoration is a separate checked condition. + +The actual endpoint conversion is explicit. Physical input X is the +portwise Q transform of logical x. At the completed output, after the +common FULL transform is removed, physical X is logical X and physical +Y is the portwise inverse-Q transform of logical Y. The complete +normalized original-X block is exactly `diag(Q,I)`. Every selected +physical Y output is the common FULL transform of the original a. + +Both families reject a test that incorrectly moves the diagonal Q +factor across the full data inverse in the borrowed term. Both +eight-port providers also reject a test that performs the lower shear +before the selected inverse. These controls test the two order claims +that are decisive for the construction. + +The native profile is unchanged in all 18 words: +`2433H1+724H2+228H3+102H4+20H5`. This is 3,507 children and rank mass +5,073. No native child or private field is added. No odd-division scan +is used. The scalar bills include the complete core, every physical +selected exchange, every boundary gauge, and all owned operations. + +Native phases inherit the exact earlier orientation-specific phase +review. This extension introduces no native event and does not rerun +the native phase interpreter. The source pins and unchanged event +bindings make that dependency explicit. + +## Scope + +The result establishes complete local interfaces and a reusable +normalization reduction. It does not establish inter-stage code +transport, all caller views, caller exterior phase closure, child +hosting, recursive precision, a complete supplier, or a new complete +kappa bound. The small selected inverse does not by itself supply a +global controller. + +## Executed verification + +From the workspace root, both commands passed: + +```sh +python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-optimized +``` + +Each run ended with `PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES`. +The receipts and input records are byte-identical between the two +modes. The receipt has SHA-256 +`ec9ecf398f9f79981c0fa2001019122b0bbabc591ca6b08aa3be4d9e44fd3abf`. +The input record has SHA-256 +`fd7a6502f8639fa07b8c2a408dcb525cbda42c8a44d9f2539737dcc1a20da89a`. +All claim checks use explicit exceptions and remain active under `-O`. + +The proof, checker, and review records use AI assistance. Source and +previously frozen review files were preserved. No PR, push, commit, +or publication was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py new file mode 100644 index 0000000000..8dd987c029 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py @@ -0,0 +1,319 @@ +#!/usr/bin/env python3 +"""Check the reduced interfaces with exact reverse ordered columns.""" +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import importlib.util +import json +import shutil + + +HERE = Path(__file__).resolve().parent +REVIEW = HERE.parent +LANES = REVIEW.parent +SOURCE = LANES / 'new-core-transfer-20261017/bipartite-eight-transfer-20261018' +EIGHT = LANES / 'controller-followthrough-20261017/bipartite-eight-20261018' +PREVIOUS = LANES / 'new-core-transfer-20261017/structured-centres-transfer-20261018' +PINS = { + 'producer': '84b1156a0c58ced62ee5834a92d02147346032f7a8beb181b3efe35a539d86f1', + 'eight': 'c147770b253d8b33a18ba6edb766ab505d203ba8ecd16507764d9a8c1c98e1c1', + 'previous_review': 'fade8160a807a2687a007a67dec3f21cfe4ebcc1840130c6650e4e2acbc6fa3b', + 'interpreter': 'd55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90', +} +path = REVIEW / 'structured-transfer-review-20261018/check.py' +if sha256(path.read_bytes()).hexdigest() != PINS['interpreter']: + raise ValueError('Pinned independent reverse interpreter') +spec = importlib.util.spec_from_file_location('independent_s24_reverse', path) +prior = importlib.util.module_from_spec(spec) +spec.loader.exec_module(prior) +prior.INPUTS[str(path.relative_to(LANES.parent))] = {'sha256':PINS['interpreter']} +need, read, frozen = prior.need, prior.read, prior.frozen +atom, add, line = prior.atom, prior.add, prior.left +apply, multiply = prior.matrix_apply, prior.matrix_product + + +def identity(n=112): + return [{p:Q(1)} for p in range(n)] + + +def sparse(raw): + return [{int(p):Q(c) for p,c in row.items() if Q(c)} for row in raw] + + +def inverse(matrix): + n = len(matrix) + rows = [dict(row) for row in matrix] + result = identity(n) + determinant = Q(1) + for col in range(n): + pivot = next((row for row in range(col,n) if rows[row].get(col,0)),None) + need(pivot is not None, 'Exact nonzero rational pivot') + if pivot != col: + rows[col],rows[pivot] = rows[pivot],rows[col] + result[col],result[pivot] = result[pivot],result[col] + determinant *= -1 + scale = rows[col][col] + determinant *= scale + rows[col] = {p:c/scale for p,c in rows[col].items()} + result[col] = {p:c/scale for p,c in result[col].items()} + for row in range(n): + if row == col or not rows[row].get(col,0): + continue + factor = -rows[row][col] + for target,source in ((rows[row],rows[col]),(result[row],result[col])): + for p,c in source.items(): + value = target.get(p,0)+factor*c + if value: + target[p] = value + else: + target.pop(p,None) + need(rows == identity(n), 'Complete exact elimination') + return result,determinant + + +def embedded_principal(matrix, subset): + result = identity() + for p in subset: + result[p] = {q:c for q,c in matrix[p].items() if q in subset} + return result + + +def derive(J, selected): + S = set(selected) + U = set(range(112))-S + need(all(J[p].get(q,0)==J[q].get(p,0) for p in range(112) for q in range(112)), + 'Actual response is symmetric') + L = embedded_principal(J,S) + H = embedded_principal(J,U) + Li,detL = inverse(L) + Hi,detH = inverse(H) + C = identity() + upper,lower = identity(),identity() + selected_inverse = identity() + for p in range(112): + if p in S: + C[p] = {q:-c for q,c in J[p].items() if q in S} + selected_inverse[p] = {q:-c for q,c in Li[p].items()} + upper[p].update({q:-c for q,c in J[p].items() if q in U}) + else: + C[p].update({q:-c for q,c in J[p].items() if q in S}) + lower[p].update({q:c for q,c in J[p].items() if q in S}) + N,detC = inverse(C) + A = multiply(upper,multiply(Hi,C)) + Ai,_ = inverse(A) + need(multiply(lower,selected_inverse)==N, 'Two-step suffix equals full C inverse') + need(multiply(Ai,multiply(upper,Hi))==N, 'Long suffix equals full C inverse') + for a,b in ((L,Li),(Li,L),(H,Hi),(Hi,H),(C,N),(N,C),(A,Ai),(Ai,A)): + need(multiply(a,b)==identity(), 'Both exact matrix inverse orders') + for matrix in (L,Li,H,Hi,C,N,A,Ai): + need(all(c.denominator & (c.denominator-1)==0 for row in matrix for c in row.values()), + 'All complete scalar maps are dyadic') + return dict(J=J,L=L,Li=Li,H=H,Hi=Hi,C=C,N=N,A=A,Ai=Ai,upper=upper, + lower=lower,selected_inverse=selected_inverse,U=U, + determinants={'L':str(detL),'H':str(detH),'C':str(detC)}) + + +def compiled_program(program, c): + need(program['events']==program['prefix']+program['input_exchange']+ + program['retained_core']+program['suffix'], 'Complete serialized native word') + pre,pre_price = prior.boundary(program['prefix']+program['input_exchange'],0) + post,post_price = prior.boundary(program['suffix'],1) + core,bill = prior.core(program['retained_core'],c,program['orientation']) + operations = [('operator',p,p+1) for p in range(112)]+pre + operations += [('operator',p,-p-1) for p in range(112)]+core + operations += [('operator',112+p,-p-1) for p in range(112)]+post + operations += [('operator',112+p,p+1) for p in range(112)] + return operations,pre_price+post_price+bill['dyadic_real_primitives'] + + +def gauge_map(matrix, events, offset=0): + result = [atom(i) for i in range(640)] + result[offset:offset+112] = apply(matrix,result[offset:offset+112]) + if any(e['kind']=='clear' for e in events): + result[632] = {} + return result + + +def cross_events(J, selected, lower): + result = [] + S = set(selected) + for p in range(112): + for q,c in sorted(J[p].items()): + if ((p not in S and q in S) if lower else (p in S and q not in S)): + result.append({'kind':'add','target':p,'source':q, + 'coefficient':str(c if lower else -c),'frame':1}) + return result + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out',type=Path,required=True) + out = parser.parse_args().out + need(not out.exists(), 'New output directory') + need(shutil.disk_usage(HERE).free>=3*1024**3, 'At least 3 GiB free disk') + freeze = frozen(SOURCE,'FREEZE.json',PINS['producer']) + frozen(EIGHT,'FREEZE.json',PINS['eight']) + frozen(REVIEW/'structured-transfer-review-20261018','FREEZE.json',PINS['previous_review']) + previous_freeze = frozen(PREVIOUS,'FREEZE.json',prior.PINS['transfer']) + packet = read(SOURCE/'run-normal/REDUCED-INTERFACES-PROGRAMS.json.gz', + freeze['payload_decompressed_sha256'],True) + eight = read(EIGHT/'BIPARTITE-EIGHT-PROGRAM.json.gz', + '0c832994c1d06562a8db0b9b3d940f6f6143c37beed983f874a69f2bf6ecfdee',True) + previous = read(PREVIOUS/'scaled-normal/STRUCTURED-TRANSFER-PROGRAMS.json.gz', + previous_freeze['payload_decompressed_sha256']['scaled'],True) + structured = read(LANES/'controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES-PROGRAM.json.gz', + '2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1',True) + clean = read(LANES/'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz',prior.PINS['clean'],True) + bridge = read(PREVIOUS/'NATIVE-GEOMETRY-BRIDGE.json') + reports,controls = {},{} + need(set(packet['families'])=={'eight','twenty_four'}, 'Both complete construction families') + for family,data in packet['families'].items(): + need(family in ('eight','twenty_four'), 'Known literal family') + selected = data['selected_S'] + J = sparse(eight['response']) if family=='eight' else [ + {p:-c for p,c in row.items()} for row in sparse(structured['response'])] + need(selected==(eight['selected_ports'] if family=='eight' else previous['selected_S']), + 'Actual source selection') + matrices = derive(J,selected) + U = matrices['U'] + need(data['ordinary_U']==sorted(U), 'Actual ordinary ports') + expected = prior.expected_maps(selected,J,matrices['H'],matrices['Hi'], + matrices['A'],matrices['Ai'],U) + expected['long_normalized_backward'] = expected['normalized_backward'] + expected['short_normalized_backward'] = expected['normalized_backward'] + family_report = {'determinants':matrices['determinants'],'providers':{}} + need(set(data['providers'])=={'base','extra'}, 'Both actual providers') + for provider,item in data['providers'].items(): + c = item['canonical'] + phase_path = REVIEW/provider/'CANONICAL-WORD.json.gz' + need(sha256(phase_path.read_bytes()).hexdigest()== + bridge['providers'][provider]['phase_canonical_compressed_sha256'], + 'Exact canonical phase-provider bytes') + phase_c = read(phase_path,zipped=True) + need(c==phase_c==previous['providers'][provider]['canonical']==clean['providers'][provider]['canonical'], + 'Actual canonical geometry is unchanged') + prior.physical_frames(c) + words = item['local_words'] + native_source = eight['providers'][provider] if family=='eight' else previous['providers'][provider] + need(c==native_source['canonical'], 'Source response uses this exact canonical geometry') + for program in item['programs'].values(): + direction = program['orientation'] + source_core = native_source['programs'][direction] if family=='eight' else next( + v['retained_core'] for v in native_source['programs'].values() if v['orientation']==direction) + need(program['retained_core']==source_core, 'Exact complete source core') + need([e for e in source_core if prior.native(e)] == + [e for e in clean['providers'][provider]['programs'][direction] if prior.native(e)], + 'Exact retained native records and phase dependency') + gauge_checks = {} + for name,events in words.items(): + matrix_name = {'long_normalizer_X':'N','short_normalizer_X':'N', + 'lower_X':'lower','upper_X':'upper','ordinary_Y':'H', + 'ordinary_inverse_X':'Hi','selected_inverse_X':'selected_inverse'}[name] + offset = 112 if name=='ordinary_Y' else 0 + operations,price = prior.boundary(events,0 if offset else 1) + check = prior.reverse(operations,gauge_map(matrices[matrix_name],events,offset)) + check['dyadic_real_primitives'] = price + gauge_checks[name] = check + if family=='eight': + need(all(e['target']<224 and e.get('source',0)<224 and e['kind'] in ('add','scale') + for events in words.values() for e in events), 'Eight-port gauges use no owned field') + need(words['short_normalizer_X']==words['selected_inverse_X']+words['lower_X'], + 'Selected inverse precedes the lower update') + need(words['lower_X']==cross_events(J,selected,True) and + words['upper_X']==cross_events(J,selected,False), 'Actual complete cross shears') + need(len(words['lower_X'])==len(words['upper_X'])==144 and + all(abs(Q(e['coefficient']))==Q(1,2) for name in ('lower_X','upper_X') for e in words[name]), + 'Exact cross-shear count and coefficients') + prior_gauges = previous['providers'][provider]['gauge_words'] + had_y = [] + for event in prior_gauges['hadamard_X']: + event = dict(event,target=event['target']+112,frame=0) + if 'source' in event: + event['source'] += 112 + had_y.append(event) + need(words['ordinary_Y'][-352:]==had_y and + words['ordinary_inverse_X'][-352:]==prior_gauges['hadamard_inverse_X'], + 'Both paid Hadamard words retain their 32 physical exchanges') + expected_costs = dict(raw_backward=87568,raw_forward=87776,balanced_backward=91264, + balanced_forward=91472,diagonal_backward=92704, + long_normalized_backward=99472,short_normalized_backward=89200) + gauge_costs = dict(long_normalizer_X=11904,short_normalizer_X=1632,lower_X=1440, + upper_X=1440,ordinary_Y=3696,ordinary_inverse_X=3696,selected_inverse_X=192) + else: + expected_costs = dict(long_normalized_backward=96012,short_normalized_backward=89592) + gauge_costs = dict(long_normalizer_X=8028,short_normalizer_X=1608) + need(item['programs']['long_normalized_backward']== + previous['providers'][provider]['programs']['normalized_backward'], + 'The prior complete 24-port long word is unchanged') + need({name:r['dyadic_real_primitives'] for name,r in gauge_checks.items()}==gauge_costs, + 'All independently counted gauge invoices') + need(set(item['programs'])==set(expected_costs), 'Every declared complete word is present') + checks = {} + for name,program in item['programs'].items(): + need(program['input_exchange']==prior.selected_exchange(selected,0), + 'Literal physical input exchanges') + prefix = words['ordinary_Y'] if name=='balanced_forward' else [] + suffix = (words['ordinary_inverse_X'] if name=='balanced_backward' else + words['ordinary_inverse_X']+words['upper_X'] if name=='diagonal_backward' else + words['long_normalizer_X'] if name=='long_normalized_backward' else + words['short_normalizer_X'] if name=='short_normalized_backward' else + prior.selected_exchange(selected,1) if program['orientation']=='forward' else []) + need(program['prefix']==prefix and program['suffix']==suffix, 'Exact local word composition') + operations,price = compiled_program(program,c) + check = prior.reverse(operations,expected[name],private=True) + need(price==expected_costs[name], 'Complete independent scalar invoice') + if name.endswith('normalized_backward'): + for p in range(112): + x_part = {key:value for key,value in expected[name][p].items() if key[1]<112} + need(x_part==(line(atom(p),p,1) if p in selected else atom(p)), + 'Full original-X block is exactly diag(Q,I)') + if name=='short_normalized_backward': + mistaken = deepcopy(expected[name]) + ai_y = apply(matrices['Ai'],[atom(112+p) for p in range(112)]) + for p in range(112): + mistaken[p] = line(atom(p),p,1) if p in selected else atom(p) + add(mistaken[p],line(ai_y[p],p,-1) if p in selected else + {key:-v for key,v in ai_y[p].items()}) + need(mistaken!=expected[name], 'The borrowed-source Q order is material') + try: + prior.reverse(operations,mistaken,private=True) + except ValueError: + controls[family+'/'+provider+'/wrong_Q_order_rejected'] = True + else: + raise ValueError('Wrong Q order in the normalized borrowed term') + if program['orientation']=='backward': + need(all(line(expected[name][112+p],p,-1)==atom(p) for p in selected), + 'Every productive selected physical Y is original X') + check.update(dyadic_real_primitives=price,native_mass=5073,native_children=3507, + logical_helpers_restored=408,owned_zero_outputs=8) + checks[name] = check + if family=='eight': + bad = deepcopy(item['programs']['short_normalized_backward']) + bad['suffix'] = words['lower_X']+words['selected_inverse_X'] + bad['events'] = bad['prefix']+bad['input_exchange']+bad['retained_core']+bad['suffix'] + operations,_ = compiled_program(bad,c) + try: + prior.reverse(operations,expected['short_normalized_backward'],private=True) + except ValueError: + controls[provider+'/old_selected_query_rejected'] = True + else: + raise ValueError('The lower shear used the old selected fields') + family_report['providers'][provider] = {'programs':checks,'gauges':gauge_checks, + 'long_short_full_map_equal':True} + print(family,provider,'complete maps, frames, restoration and invoices PASS',flush=True) + reports[family] = family_report + result = {'status':'PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES','complete_words_checked':18, + 'families':reports,'negative_controls':controls, + 'method':'Reverse ordered columns with exact rational block inversion; no producer import.', + 'scope':'Complete local words. Native phases inherit exact unchanged reviewed records. No global controller, hosting, precision, supplier or kappa claim.', + 'checker_sha256':sha256(Path(__file__).read_bytes()).hexdigest()} + out.mkdir(parents=True) + (out/'REVIEW.json').write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + (out/'INPUTS.json').write_text(json.dumps(prior.INPUTS,indent=2,sort_keys=True)+'\n') + print(result['status'],flush=True) + + +if __name__=='__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal/INPUTS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal/INPUTS.json new file mode 100644 index 0000000000..82ee75863c --- /dev/null +++ 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"lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py": { + "sha256": "d55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90" + }, + "lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/INPUTS.json": { + "sha256": "8dcc35233de782f18cdb189be996376ec872dc06f38ac0d9744a29043b6469ab" + }, + "lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/REVIEW.json": { + "sha256": "2bfa11248a1d1cc38a1b40803fac316e33f525ccf44f23f614cfbf73a805a800" + }, + "lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-optimized/INPUTS.json": { + "sha256": "8dcc35233de782f18cdb189be996376ec872dc06f38ac0d9744a29043b6469ab" + }, + "lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-optimized/REVIEW.json": { + "sha256": "2bfa11248a1d1cc38a1b40803fac316e33f525ccf44f23f614cfbf73a805a800" + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-optimized/REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-optimized/REVIEW.json new file mode 100644 index 0000000000..5c6b701eea --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-optimized/REVIEW.json @@ -0,0 +1,351 @@ +{ + "checker_sha256": "3b157a685531459997c7ef78321218ef7a2134c092f98d85df20e43374da24e7", + "complete_words_checked": 18, + "families": { + "eight": { + "determinants": { + "C": "1/16", + "H": "1152921504606846976", + "L": "1/16" + }, + "providers": { + "base": { + "gauges": { + "long_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 11904, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "lower_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1440, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_Y": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3696, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3696, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "selected_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 192, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "short_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1632, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "upper_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1440, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + } + }, + "long_short_full_map_equal": true, + "programs": { + "balanced_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91264, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "balanced_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91472, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "diagonal_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 92704, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "long_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 99472, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "raw_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 87568, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "raw_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 87776, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "short_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 89200, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + } + } + }, + "extra": { + "gauges": { + "long_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 11904, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "lower_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1440, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_Y": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3696, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3696, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "selected_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 192, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "short_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1632, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "upper_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1440, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + } + }, + "long_short_full_map_equal": true, + "programs": { + "balanced_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91264, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "balanced_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91472, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "diagonal_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 92704, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "long_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 99472, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "raw_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 87568, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "raw_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 87776, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "short_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 89200, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + } + } + } + } + }, + "twenty_four": { + "determinants": { + "C": "256", + "H": "4722366482869645213696", + "L": "256" + }, + "providers": { + "base": { + "gauges": { + "long_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 8028, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 19 + }, + "short_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1608, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + } + }, + "long_short_full_map_equal": true, + "programs": { + "long_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 96012, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 20 + }, + "short_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 89592, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 10 + } + } + }, + "extra": { + "gauges": { + "long_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 8028, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 19 + }, + "short_normalizer_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 1608, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + } + }, + "long_short_full_map_equal": true, + "programs": { + "long_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 96012, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 20 + }, + "short_normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 89592, + "logical_helpers_restored": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 10 + } + } + } + } + } + }, + "method": "Reverse ordered columns with exact rational block inversion; no producer import.", + "negative_controls": { + "base/old_selected_query_rejected": true, + "eight/base/wrong_Q_order_rejected": true, + "eight/extra/wrong_Q_order_rejected": true, + "extra/old_selected_query_rejected": true, + "twenty_four/base/wrong_Q_order_rejected": true, + "twenty_four/extra/wrong_Q_order_rejected": true + }, + "scope": "Complete local words. Native phases inherit exact unchanged reviewed records. No global controller, hosting, precision, supplier or kappa claim.", + "status": "PASS_INDEPENDENT_REDUCED_SELECTED_INTERFACES" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_irregular_38.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_irregular_38.py new file mode 100644 index 0000000000..5fcb25abb0 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_irregular_38.py @@ -0,0 +1,197 @@ +#!/usr/bin/env python3 +"""Review the irregular native words and their completed response unit.""" +from copy import deepcopy +import argparse +from fractions import Fraction as Q +from pathlib import Path +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +SOURCE = LANES / 'new-core-transfer-20261017' +SCRIPT_PIN = 'f8f833624f40c5a892383254ba274cf7fe32b4d93f68d3b6eb0549ecad0d5b6f' +path = HERE / 'check_serial_balanced.py' +if hashlib.sha256(path.read_bytes()).hexdigest() != SCRIPT_PIN: + raise ValueError('Pinned independent scalar reviewer') +spec = importlib.util.spec_from_file_location('independent_balanced_review', path) +review = importlib.util.module_from_spec(spec) +spec.loader.exec_module(review) +review.read_bytes(path, SCRIPT_PIN) +need, read, read_bytes = review.need, review.read, review.read_bytes +atom, add, line = review.atom, review.add, review.line + + +def unit_frames(events, word, selected, n): + frames = word['final'][:] + [0] * 8 + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(0 <= target < 112 or n <= target < n + 8, 'Response unit touches X and owned queries') + if kind == 'clear': + need(n <= target < n + 8, 'Response unit clears only owned fields') + frames[target] = declared + else: + need(frames[target] == declared == 1, 'Response unit target at FULL') + if kind == 'add': + source = event['source'] + need((0 <= source < 112 or n <= source < n + 8) and frames[source] == declared, 'Response unit source at FULL') + need(source != target, 'Response unit ADD uses distinct fields') + else: + need(kind == 'scale' and (target >= n or target in selected and Q(event['coefficient']) == -1), 'Response unit dyadic query scale or selected sign') + need(frames[:n] == word['final'] and frames[n:] == [0] * 8, 'Response unit exact frame restoration') + + +def query_order(events, n): + data_write = False + queries = set() + for event in events: + if event['kind'] != 'add': + continue + target, source = event['target'], event['source'] + if target >= n and source < n: + need(not data_write, 'All current data queries precede every data scatter') + queries.add(target) + if target < n and source >= n: + need(queries == set(range(n, n + 8)), 'All eight current queries exist before scatter') + data_write = True + need(data_write, 'The factor has a data scatter') + + +def matrix_result(matrix, n): + result = [atom(i) for i in range(n + 8)] + for p, row in enumerate(matrix): + result[p] = {((), q): c for q, c in enumerate(row) if c} + result[n:] = [{} for _ in range(8)] + return result + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, required=True, help="New receipt path; existing files are not overwritten.") + out = parser.parse_args().out.resolve() + manifest = out.with_name(out.stem + "-INPUTS.json") + need(out.parent.is_dir(), "Output directory exists") + need(not out.exists() and not manifest.exists(), "Output files must be new") + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + freeze = read(SOURCE / 'FREEZE-IRREGULAR-38.json', '10214232ba25219d94821e5c9414b299166b15e471cd8bd9a3b343c61ef32f4f') + for name, pin in freeze['files'].items(): + read_bytes(SOURCE / name, pin) + packet = read(SOURCE / 'IRREGULAR-38-PROGRAMS.json.gz', 'bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801', True) + unit = read(SOURCE / 'IRREGULAR-38-RESPONSE-UNIT.json', 'c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6') + core = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', True) + witness = read(LANES.parent / 'root/IRREGULAR-SPLIT-20261017.json', '0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f') + native = read(LANES / 'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json', '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d') + prior = read(HERE / 'SERIAL-BALANCED-REVIEW.json', '1b77917f5e21e7383d0aa50dcf4a0eb4c3d0177dc2e280979fdf2740067bbfae') + need(native['status'] == 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES' and native['clean_payload_sha256'] == packet['source_pins']['core'], 'Inherited exact native phase binding') + need(prior['status'] == 'PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS' and prior['exact_signed_endpoint_F_commutations'] == {'base': 224, 'extra': 224}, 'Exact all-port F commutations') + need(packet['selected_S'] == unit['selected_S'] == witness['selected'] and len(packet['selected_S']) == 38, 'Exact irregular witness selection') + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in core['R']] + need(all(sum(r[i][p] * r[j][p] for p in range(112)) == 56 * (i == j) for i in range(8) for j in range(8)), 'Full actual row Gram matrix') + S, U, J, C, h, hi = review.geometry(r, packet['selected_S']) + need(list(U) == packet['ordinary_U'] and len(U) == 74, 'Exact ordinary partition') + selected_gram = [[sum(r[i][p] * r[j][p] for p in S) for j in range(8)] for i in range(8)] + need(selected_gram == witness['gram'], 'Independent source Gram binding') + W = [[Q(i == j) - selected_gram[i][j] / 4 for j in range(8)] for i in range(8)] + wi = review.inverse(W) + need(wi == [[Q(c) for c in row] for row in witness['I_minus_D_inverse']], 'Independent W inverse agrees') + signs = [-1 if p in S else 1 for p in range(112)] + wi_r = [[sum(wi[i][j] * r[j][q] for j in range(8)) for q in range(112)] for i in range(8)] + A = [[signs[p] * Q(p == q) + C[p][q] for q in range(112)] for p in range(112)] + AI = [[signs[p] * Q(p == q) - signs[p] * signs[q] * sum(r[i][p] * wi_r[i][q] for i in range(8)) / 4 + for q in range(112)] for p in range(112)] + need(all(c.denominator & (c.denominator - 1) == 0 for row in A + AI for c in row), 'Both response matrices are dyadic') + reports, core_checks = {}, {} + costs = {'balanced_backward': 170446, 'diagonal_backward': 171662, 'balanced_forward': 171290} + factor_costs = {'balanced_backward': 4944, 'diagonal_backward': 6160, 'balanced_forward': 4800} + for provider, item in packet['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(word == core['providers'][provider]['canonical'], 'Current canonical geometry') + need(word['start'][112:224] == [0] * 112 and word['final'][:112] == [1] * 112, 'Common I and FULL boundary frames') + cores = {} + for direction in ('forward', 'backward'): + cores[direction], core_checks[provider + '/' + direction] = review.core_operator(core['providers'][provider]['programs'][direction], word, J, direction) + reports[provider] = {'native_words': {}, 'response_units': {}, 'composed_word': {}} + for name, program in item['programs'].items(): + direction = program['orientation'] + events = program['retained_core'] + need(events == core['providers'][provider]['programs'][direction], 'Exact current native array') + need(program['events'] == program['prefix'] + program['input_exchange'] + events + program['suffix'] + program['owned_cleanup'], 'Literal complete order') + need(program['owned_cleanup'] == [], 'No uncounted owned cleanup') + factor = program['prefix'] if direction == 'forward' else program['suffix'] + review.factor_frames(factor, 112 if direction == 'forward' else 0, 0 if direction == 'forward' else 1, n) + query_order(factor, n) + need(sum(e['kind'] == 'clear' for e in factor) == 16, 'Eight owned preparations and returns') + need(review.invoice(factor) == (factor_costs[name], 0), 'Exact irregular factor invoice') + actual, physical = review.execute(program, cores[direction], n) + expected = review.expected_map(name, S, U, J, C, h, hi, n) + need(actual == expected, 'All irregular ordered columns: ' + provider + '/' + name) + need(actual[224:n] == [atom(p) for p in range(224, n)] and actual[n:] == [{}] * 8, 'All helper and owned outputs') + if direction == 'backward': + need(all(physical[112 + p] == atom(p) for p in S), 'Physical selected Y carries F times original X') + review.check_inverse(name, actual, S, U, J, r, h, hi, n) + scalar, scans = review.invoice(program['prefix'] + program['input_exchange'] + program['suffix']) + need(scalar + 164514 == costs[name] and scans == 0, 'Complete irregular dyadic invoice') + changed = deepcopy(program) + changed['prefix' if direction == 'forward' else 'suffix'] = [] + need(review.execute(changed, cores[direction], n)[0] != expected, 'Omitted irregular factor rejects') + changed = deepcopy(program) + changed['input_exchange'] = [] + need(review.execute(changed, cores[direction], n)[0] != expected, 'Omitted physical exchange rejects') + reports[provider]['native_words'][name] = { + 'scalar_real_primitives': costs[name], 'native_mass': 5073, 'native_children': 3507, + 'new_native_children': 0, 'new_private_fields': 0, 'owned_query_peak': 8, + 'arbitrary_columns': 640, 'logical_helpers_under_inherited_contract': 408, + 'private_zero_buffers': 91, 'owned_outputs_zero': 8, 'ordered_inverse_live_columns': 632, + } + print('PASS irregular native', provider, name, costs[name], flush=True) + + identity = [atom(i) for i in range(n + 8)] + zero_owned_identity = deepcopy(identity) + zero_owned_identity[n:] = [{}] * 8 + for name, matrix, scalar in (('A', A, 7452), ('inverse_A', AI, 7412)): + events = unit['programs'][name] + unit_frames(events, word, S, n) + query_order(events, n) + need(review.invoice(events) == (scalar, 0), 'Exact response-unit invoice') + need(review.boundary(events, identity, n) == matrix_result(matrix, n), 'All exact response-unit columns') + reports[provider]['response_units'][name] = {'scalar_real_primitives': scalar, 'all_input_columns': 640, + 'native_children': 0, 'owned_query_peak': 8, 'owned_outputs_zero_at_I': 8} + for first, second in (('A', 'inverse_A'), ('inverse_A', 'A')): + need(review.boundary(unit['programs'][first] + unit['programs'][second], identity, n) == zero_owned_identity, 'Both literal response-unit inverse orders') + + program = deepcopy(item['programs']['diagonal_backward']) + program['suffix'] += unit['programs']['inverse_A'] + actual, physical = review.execute(program, cores['backward'], n) + expected = deepcopy(identity) + borrowed = {p: line(identity[112 + p], p, -1) if p in S else {((), 112 + p): Q(-1)} for p in range(112)} + for p in range(112): + expected[p] = line(identity[p], p, 1) if p in S else dict(identity[p]) + add(expected[p], review.combine({q: AI[p][q] for q in range(112) if AI[p][q]}, borrowed)) + if p in S: + expected[112 + p] = line(identity[p], p, 1) + expected[n:] = [{}] * 8 + need(actual == expected, 'Whole-core response-normalized backward map') + scalar, scans = review.invoice(program['prefix'] + program['input_exchange'] + program['suffix']) + need(scalar + 164514 == 179074 and scans == 0, 'Whole response-normalized word invoice') + need(all(physical[112 + p] == atom(p) for p in S), 'Normalized word preserves selected physical carrier') + reports[provider]['composed_word'] = {'scalar_real_primitives': 179074, 'native_mass': 5073, 'native_children': 3507, + 'arbitrary_columns': 640, 'original_X_response': 'diag(Q_S,I_U)', 'owned_outputs_zero': 8, + 'method': 'Literal complete core plus frozen inverse_A suffix, replayed in this review.'} + print('PASS irregular units and whole normalized word', provider, flush=True) + result = {'status': 'PASS_INDEPENDENT_IRREGULAR_38_NATIVE_AND_RESPONSE_UNIT', 'providers': reports, + 'core_checks': core_checks, 'source_payload_decompressed_sha256': 'bd980a32b56768ee8e6454a789d4d53c805154a062e0d437373a0acc726dd801', + 'response_unit_payload_sha256': 'c4fc86b3dd4aed536f1226a9339a80b0587a93da860601266d81771df3c96ac6', + 'not_claimed': ['Minimal selected size', 'Idle preparation', 'Complete inter-call decoder or controller', 'Owner histories', 'Recursive hosting, precision, complete supplier cost, or kappa'], + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), 'seconds': time.monotonic() - started} + manifest.write_text(json.dumps(review.INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256(manifest.read_bytes()).hexdigest() + out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_serial_balanced.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_serial_balanced.py new file mode 100644 index 0000000000..fa8ad11370 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/replay_serial_balanced.py @@ -0,0 +1,498 @@ +#!/usr/bin/env python3 +"""Review complete serial balanced words with exact ordered operators.""" +from collections import Counter +from copy import deepcopy +import argparse +from fractions import Fraction as Q +from pathlib import Path +import gzip +import hashlib +import importlib.util +import json +import shutil +import time + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = LANES.parents[2] +SOURCE = LANES / 'new-core-transfer-20261017' +INPUTS = {} + + +def need(test, label): + if not test: + raise ValueError(label) + + +def read_bytes(path, pin=None, zipped=False): + raw = path.read_bytes() + value = gzip.decompress(raw) if zipped else raw + record = {'sha256': hashlib.sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = hashlib.sha256(value).hexdigest() + INPUTS[str(path.relative_to(ROOT))] = record + need(pin is None or hashlib.sha256(value).hexdigest() == pin, 'Input pin: ' + str(path)) + return value + + +def read(path, pin=None, zipped=False): + return json.loads(read_bytes(path, pin, zipped)) + + +module_path = HERE / 'check_raw_selected.py' +read_bytes(module_path, 'c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef') +spec = importlib.util.spec_from_file_location('independent_scalar_algebra', module_path) +alg = importlib.util.module_from_spec(spec) +spec.loader.exec_module(alg) +add, atom, line = alg.acc, alg.atom, alg.op_left + + +def combine(row, values): + result = {} + for p, coefficient in row.items(): + add(result, values[p], coefficient) + return result + + +def inverse(matrix): + n = len(matrix) + a = [list(row) + [Q(i == j) for j in range(n)] for i, row in enumerate(matrix)] + for p in range(n): + pivot = next((r for r in range(p, n) if a[r][p]), None) + need(pivot is not None, 'Invertible centre matrix') + a[p], a[pivot] = a[pivot], a[p] + scale = a[p][p] + a[p] = [value / scale for value in a[p]] + for r in range(n): + if r != p and a[r][p]: + scale = a[r][p] + a[r] = [x - scale * y for x, y in zip(a[r], a[p])] + result = [row[n:] for row in a] + need(all(sum(matrix[i][k] * result[k][j] for k in range(n)) == (i == j) + and sum(result[i][k] * matrix[k][j] for k in range(n)) == (i == j) + for i in range(n) for j in range(n)), 'Two centre inverse orders') + return result + + +def core_operator(events, word, J, direction): + n = len(word['start']) + zeros = {z: n + 8 + i for i, z in enumerate(word['zero_buffers'])} + total = n + 8 + len(zeros) + need(n == 632 and len(zeros) == 91, 'Current provider dimensions') + + def reg(wire): + kind, value = wire + if kind == 'L': + need(0 <= value < n, 'Live field range') + return value + if kind == 'C': + need(0 <= value < 8, 'Owned field range') + return n + value + need(kind == 'Z' and value in zeros, 'Private field range') + return zeros[value] + + columns = [atom(i) for i in range(total)] + for event in reversed(events): + tag = event[0] + if tag == 'scalar': + gate = event[1] + op, target = gate[0], reg(gate[1]) + if op == 'clear': + need(n <= target < n + 8, 'Only owned fields clear') + columns[target] = {} + elif op == 'scale': + c = Q(*gate[2:]) + columns[target] = {key: c * value for key, value in columns[target].items()} + else: + need(op == 'add', 'Core scalar opcode') + add(columns[reg(gate[2])], columns[target], Q(*gate[3:])) + elif tag == 'warp': + target, letter = reg(event[1]), event[2] + result = {} + for (word_value, output), coefficient in columns[target].items(): + reduced = word_value[:-1] if word_value and word_value[-1] == -letter else word_value + (letter,) + add(result, {(reduced, output): coefficient}) + columns[target] = result + elif tag == 'zero_buffer' and event[1] == 'alloc': + columns[zeros[event[2]]] = {} + for source, actual in enumerate(columns): + expected = atom(source) if source < n or n < source < n + 8 else {} + if direction == 'forward' and source < 112: + add(expected, {((), 112 + p): J[p][source] for p in range(112) if J[p][source]}) + if direction == 'backward' and 112 <= source < 224: + add(expected, {((), p): -J[p][source - 112] for p in range(112) if J[p][source - 112]}) + need(actual == expected, direction + ' reverse free-operator column ' + str(source)) + rational = [{output: c for (_, output), c in column.items()} for column in columns[:n + 8]] + + frames = word['start'][:] + [0] * 8 + [None] * len(zeros) + active, allocated, freed = set(), set(), set() + profile, tags = Counter(), Counter() + scalar = 0 + allowed_warps = set(map(tuple, word['warp_edges'])) + for event in events: + tag = event[0] + tags[tag] += 1 + if tag == 'scalar': + gate, declared = event[1:] + op, target = gate[0], reg(gate[1]) + if op == 'clear': + need(n <= target < n + 8, 'Owned frame clear') + frames[target] = declared + scalar += alg.price(op) + else: + need(frames[target] == declared, 'Core scalar target frame') + need(target < n + 8 or target in active, 'Core target lifetime') + if op == 'add': + source = reg(gate[2]) + need(frames[source] == declared, 'Core scalar source frame') + need(source < n + 8 or source in active, 'Core source lifetime') + scalar += alg.price(op, Q(*(gate[3:] if op == 'add' else gate[2:]))) + elif tag == 'climb': + _, _, wire, old, new, paid = event + before, after = word['frames'][old], word['frames'][new] + need(frames[wire] == old, 'Child input frame') + need(alg.rank(before + after) == len(after), 'Nested child frames') + need(paid == len(after) - len(before) > 0, 'Paid child rank') + frames[wire] = new + profile[paid] += 1 + elif tag == 'warp': + _, wire, symbol, old, new = event + target = reg(wire) + need(frames[target] == old, 'Warp input frame') + need((1 if symbol > 0 else -1, abs(symbol), old, new) in allowed_warps, 'Canonical signed warp class') + need(target < n + 8 or target in active, 'Warp private lifetime') + frames[target] = new + elif tag == 'zero_buffer': + target = zeros[event[2]] + if event[1] == 'alloc': + need(target not in allocated and target not in active, 'Single zero allocation') + allocated.add(target) + active.add(target) + frames[target] = 1 + else: + need(event[1] == 'free' and target in active and target not in freed and frames[target] == 1, 'Return zero at FULL') + active.remove(target) + freed.add(target) + elif tag == 'adapter': + _, side, wire, frame = event + endpoint = word['start'] if side == 'old_to_new' else word['final'] + need(side in ('old_to_new', 'new_to_old') and endpoint[wire] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, wire, entry, *tail = event + need(side in ('pre', 'post') and entry == word['start'][wire] and (tail[0] if tail else 1) == word['final'][wire], 'Helper adapter endpoints') + else: + need(tag == 'phase', 'Core event grammar') + need(not active and allocated == freed == set(zeros.values()), 'All zero-buffer lifetimes close') + need(frames[:n + 8] == word['final'] + [0] * 8, 'Final core frames') + need(scalar == 164514 and dict(profile) == {1: 2433, 2: 724, 3: 228, 4: 102, 5: 20}, 'Core complete invoice') + need(tags['warp'] == 240, 'All retained warps') + return rational, {'orientation': direction, 'extended_columns': total, 'arbitrary_columns': n + 8, + 'private_zero_buffers': len(zeros), 'scalar': scalar, 'events': dict(tags), + 'native_profile': dict(sorted(profile.items()))} + + +def boundary(events, data, n): + result = [dict(row) for row in data] + for event in events: + kind, target = event['kind'], event['target'] + need(0 <= target < 224 or n <= target < n + 8, 'Boundary target access') + if kind == 'clear': + need(n <= target < n + 8, 'Only owned fields clear') + result[target] = {} + elif kind in ('scale', 'divide_odd'): + if kind == 'divide_odd': + need(target == n and event['divisor'] == 3, 'Distinct owned /3 opcode') + coefficient = Q(1, 3) + else: + coefficient = Q(event['coefficient']) + need(coefficient.denominator & (coefficient.denominator - 1) == 0, 'Old SCALE is dyadic') + result[target] = {key: coefficient * value for key, value in result[target].items()} + else: + need(kind == 'add', 'No new native operation') + source = event['source'] + need(0 <= source < 224 or n <= source < n + 8, 'Boundary source access') + need(source != target, 'Distinct ADD fields') + add(result[target], result[source], Q(event['coefficient'])) + return result + + +def factor_frames(events, bank, frame, n): + frames = {p: frame for p in range(bank, bank + 112)} + frames.update({p: 0 for p in range(n, n + 8)}) + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(target in frames, 'Factor target bank') + if kind == 'clear': + need(n <= target < n + 8, 'Owned factor preparation') + frames[target] = declared + else: + need(frames[target] == declared == frame, 'Factor target common frame') + if kind == 'add': + source = event['source'] + need(source in frames and frames[source] == declared, 'Factor source common frame') + else: + need(n <= target < n + 8, 'Scale or divide only an owned query') + need(all(frames[p] == 0 for p in range(n, n + 8)), 'All factor-owned frames return to I') + + +def execute(program, matrix, n): + state = [atom(i) for i in range(n + 8)] + for p in range(112): + state[p] = line(state[p], p, 1) + state = boundary(program['prefix'] + program['input_exchange'], state, n) + for p in range(112): + state[p] = line(state[p], p, -1) + result = [{} for _ in range(n + 8)] + for source, column in enumerate(matrix): + for target, coefficient in column.items(): + add(result[target], state[source], coefficient) + for p in range(112): + result[112 + p] = line(result[112 + p], p, -1) + physical_without_F = boundary(program['suffix'] + program['owned_cleanup'], result, n) + result = deepcopy(physical_without_F) + for p in range(112): + result[112 + p] = line(result[112 + p], p, 1) + return result, physical_without_F + + +def geometry(r, selected): + S, U = tuple(selected), tuple(p for p in range(112) if p not in selected) + gram = [[sum(row[p] * row[q] for row in r) / 4 for q in range(112)] for p in range(112)] + J = [[Q(p == q) - gram[p][q] for q in range(112)] for p in range(112)] + T = [[sum(r[i][p] * r[j][p] for p in S) / 4 - 13 * (i == j) for j in range(8)] for i in range(8)] + ti = inverse(T) + C = [[sum(r[i][p] * ti[i][j] * r[j][q] for i in range(8) for j in range(8)) / 4 + for q in range(112)] for p in range(112)] + hi = {p: {q: Q(p == q) + C[p][q] for q in U if Q(p == q) + C[p][q]} for p in U} + h = {p: {q: J[p][q] for q in U if J[p][q]} for p in U} + return S, U, J, C, h, hi + + +def expected_map(name, S, U, J, C, h, hi, n): + identity = [atom(i) for i in range(n + 8)] + value = deepcopy(identity) + qa = {p: line(identity[p], p, 1) for p in S} + qb = {p: line(identity[112 + p], p, -1) for p in S} + if name in ('balanced_backward', 'diagonal_backward'): + for p in S: + value[p] = dict(qb[p]) + value[112 + p] = dict(qa[p]) + if name == 'balanced_backward': + add(value[p], combine({q: -J[p][q] for q in S if J[p][q]}, qa)) + add(value[p], combine({112 + q: -J[p][q] for q in U if J[p][q]}, identity)) + else: + add(value[p], qa[p], -1) + for p in U: + value[p] = combine(hi[p], identity) if name == 'balanced_backward' else dict(identity[p]) + add(value[p], identity[112 + p], -1) + if name == 'balanced_backward': + for q, c in hi[p].items(): + add(value[p], combine({s: J[q][s] for s in S if J[q][s]}, qa), -c) + if name == 'diagonal_backward': + z = {p: qa[p] if p in S else identity[p] for p in range(112)} + for p in range(112): + add(value[p], combine({q: C[p][q] for q in range(112) if C[p][q]}, z)) + else: + need(name == 'balanced_forward', 'Known local variant') + for p in S: + query = combine({q: J[p][q] for q in S if J[p][q]}, qb) + add(query, combine({q: J[p][q] for q in U if J[p][q]}, identity)) + add(value[p], line(query, p, -1)) + for p in U: + value[112 + p] = combine(h[p], identity) + add(value[112 + p], combine({112 + q: c for q, c in h[p].items()}, identity)) + add(value[112 + p], combine({q: J[p][q] for q in S if J[p][q]}, qb)) + value[n:] = [{} for _ in range(8)] + return value + + +def check_inverse(name, actual, S, U, J, r, h, hi, n): + recovered = deepcopy(actual) + if name in ('balanced_backward', 'diagonal_backward'): + qa = {p: actual[112 + p] for p in S} + for p in S: + recovered[p] = line(qa[p], p, -1) + for p in U: + recovered[p] = combine(h[p], actual) + add(recovered[p], combine({112 + q: c for q, c in h[p].items()}, actual)) + add(recovered[p], combine({q: J[p][q] for q in S if J[p][q]}, qa)) + for p in S: + query = dict(actual[p]) + if name == 'diagonal_backward': + row = {q: sum(v[p] * v[q] for v in r) / 4 for q in U} + add(query, combine(row, actual), -1) + add(query, combine({q: J[p][q] for q in S if J[p][q]}, qa)) + add(query, combine({112 + q: J[p][q] for q in U if J[p][q]}, actual)) + recovered[112 + p] = line(query, p, 1) + else: + qb = {p: line(actual[112 + p], p, -1) for p in S} + ordinary = {} + for p in U: + ordinary[p] = dict(actual[112 + p]) + add(ordinary[p], combine({q: J[p][q] for q in S if J[p][q]}, qb), -1) + for p in U: + recovered[112 + p] = combine(hi[p], ordinary) + add(recovered[112 + p], actual[p], -1) + for p in S: + query = combine({q: J[p][q] for q in S if J[p][q]}, qb) + add(query, combine({q: J[p][q] for q in U if J[p][q]}, actual)) + add(recovered[p], line(query, p, -1), -1) + need(recovered[:n] == [atom(i) for i in range(n)], 'Ordered content inverse') + + +def invoice(events): + scalar, scans = 0, 0 + for event in events: + if event['kind'] == 'divide_odd': + need(event['divisor'] == 3, 'Only fixed /3 scans') + scans += 2 + else: + scalar += alg.price(event['kind'], event.get('coefficient')) + return scalar, scans + + +def factor_binding(events, word, offset, n): + def field(p): + if p == n: + return 112 + need(offset <= p < offset + 112, 'Factor grid-word data bank') + return p - offset + + actual = [] + for event in events: + kind, target = event['kind'], field(event['target']) + if kind == 'clear': + actual.append([kind, target]) + elif kind == 'divide_odd': + actual.append([kind, target, event['divisor']]) + elif kind == 'scale': + actual.append([kind, target, str(Q(event['coefficient']))]) + else: + actual.append([kind, target, field(event['source']), str(Q(event['coefficient']))]) + reduced = [] + for event in word: + if event[0] == 'clear' and reduced and reduced[-1] == event: + continue + reduced.append(event) + need(actual == reduced, 'Exact odd-grid factor after seven adjacent zero-clear removals') + + +def endpoint_commutations(ports): + path = LANES / 'interface-proof/verify_native_lift.py' + read_bytes(path, '087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b') + spec = importlib.util.spec_from_file_location('independent_balanced_endpoint_decoder', path) + decoder = importlib.util.module_from_spec(spec) + spec.loader.exec_module(decoder) + for direction in ports: + for sign in (-1, 1): + c = (('C', direction, sign),) + decoder.equal(c + decoder.fourier(9), decoder.fourier(9) + c, 'Actual signed line commutes with F') + return 2 * len(ports) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, required=True, help="New receipt path; existing files are not overwritten.") + out = parser.parse_args().out.resolve() + manifest = out.with_name(out.stem + "-INPUTS.json") + need(out.parent.is_dir(), "Output directory exists") + need(not out.exists() and not manifest.exists(), "Output files must be new") + started = time.monotonic() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least 3 GiB free') + freeze = read(SOURCE / 'FREEZE-SERIAL-BALANCED.json', 'fec84012aa803703efe1bf5c733f5c03fe2269f45054496ae55a212f4f96c42f') + for name, pin in freeze['files'].items(): + read_bytes(SOURCE / name, pin) + packet = read(SOURCE / 'SERIAL-BALANCED-PROGRAMS.json.gz', 'a0e9cd4f125089844e67090ab0e8e3fc94e449a146e06dbcc36345dd517a6b9e', True) + core = read(SOURCE / 'CLEAN-J-PROGRAMS.json.gz', 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', True) + native = read(LANES / 'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json', '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d') + need(native['status'] == 'PASS_INDEPENDENT_NEW_CORE_NATIVE_RECIPES' and native['clean_payload_sha256'] == packet['source_pins']['core'], 'Both literal native orientations are bound') + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in core['R']] + need(len(r) == 8 and all(sum(r[i][p] * r[j][p] for p in range(112)) == 56 * (i == j) for i in range(8) for j in range(8)), 'Actual full row Gram matrix') + odd_path = LANES / 'independent-review-20261017/odd-grid-a8-20261017' + odd_words = read(odd_path / 'A8-ODD-GRID-WORDS.json', '525822746e2d760a81c5a4c8847c25974d0a419a2c5abbaa0472d13bde1c6aa9') + read_bytes(odd_path / 'A8-ODD-GRID.md', 'e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01') + read(odd_path / 'A8-ODD-GRID.json', '0c1dc7cc08de30a14b42c744e73d3963a68acd83bc381f884867b85bfeaee96a') + commutations = {} + for provider, item in core['providers'].items(): + commutations[provider] = endpoint_commutations(item['canonical']['ports']) + cores, core_reports, reports = {}, {}, {} + counts = {'one_minor': {'balanced_backward': (171474, 16), 'diagonal_backward': (171730, 16), 'balanced_forward': (171650, 0)}, + 'five_minors': {'balanced_backward': (170274, 0), 'diagonal_backward': (171554, 0), 'balanced_forward': (171266, 0)}} + for family_name, family in packet['families'].items(): + S, U, J, C, h, hi = geometry(r, family['selected_S']) + need(list(U) == family['ordinary_U'] and len(S) in (8, 40), 'Exact selected partition') + need(all(sum(r[i][p] * r[j][p] for p in U) == 4 * family['lambda'] * (i == j) for i in range(8) for j in range(8)), 'Actual ordinary Gram matrix') + reports[family_name] = {} + for provider, item in family['providers'].items(): + word, n = item['canonical'], len(item['canonical']['start']) + need(word == core['providers'][provider]['canonical'], 'Current canonical source') + for p, direction in enumerate(word['ports']): + initial_x = word['frames'][word['start'][p]] + final_y = word['frames'][word['final'][112 + p]] + need(len(initial_x) == alg.rank(initial_x + [direction]) == 1, 'Actual X input line') + need(word['start'][112 + p] == 0 and word['final'][p] == 1, 'Actual common I and FULL boundaries') + need(len(final_y) == 8 and all((v & direction).bit_count() % 2 == 0 for v in final_y), 'Actual Y output hole') + reports[family_name][provider] = {} + for name, program in item['programs'].items(): + direction = program['orientation'] + events = program['retained_core'] + need(direction in ('forward', 'backward') and events == core['providers'][provider]['programs'][direction], 'Exact current native event array') + key = provider + '/' + direction + if key not in cores: + cores[key], core_reports[key] = core_operator(events, word, J, direction) + need(program['events'] == program['prefix'] + program['input_exchange'] + events + program['suffix'] + program['owned_cleanup'], 'Literal complete event order') + factor = program['prefix'] if direction == 'forward' else program['suffix'] + factor_frames(factor, 112 if direction == 'forward' else 0, 0 if direction == 'forward' else 1, n) + need(sum(e['kind'] == 'clear' for e in factor) == 9, 'Current serial factor uses nine clears') + if family_name == 'one_minor': + factor_name = {'balanced_forward': 'H', 'balanced_backward': 'H_inverse', 'diagonal_backward': 'H_inverse_fused_upper'}[name] + factor_binding(factor, odd_words[factor_name], 112 if direction == 'forward' else 0, n) + actual, physical = execute(program, cores[key], n) + expected = expected_map(name, S, U, J, C, h, hi, n) + need(actual == expected, 'Complete ordered map: ' + family_name + '/' + provider + '/' + name) + need(actual[224:n] == [atom(p) for p in range(224, n)] and actual[n:] == [{}] * 8, 'All current helper and owned columns') + if direction == 'backward': + need(all(physical[112 + p] == atom(p) for p in S), 'Physical selected Y equals F times original X') + check_inverse(name, actual, S, U, J, r, h, hi, n) + scalar, scans = invoice(program['prefix'] + program['input_exchange'] + program['suffix'] + program['owned_cleanup']) + scalar += 164514 + need((scalar, scans) == counts[family_name][name], 'Independently counted current invoice') + controls = {} + changed = deepcopy(program) + changed['prefix' if direction == 'forward' else 'suffix'] = [] + controls['omit_factor'] = execute(changed, cores[key], n)[0] != expected + changed = deepcopy(program) + changed['input_exchange'] = [] + controls['omit_input_physical_exchange'] = execute(changed, cores[key], n)[0] != expected + if scans: + changed = deepcopy(program) + changed['suffix'] = [e for e in changed['suffix'] if e['kind'] != 'divide_odd'] + controls['omit_exact_odd_division'] = execute(changed, cores[key], n)[0] != expected + if name == 'diagonal_backward': + changed = deepcopy(program) + changed['suffix'] = [e for e in changed['suffix'] if not (e['kind'] == 'add' and e['target'] in S)] + controls['omit_selected_upper_scatter'] = execute(changed, cores[key], n)[0] != expected + need(all(controls.values()), 'Changed words reject') + reports[family_name][provider][name] = { + 'scalar_real_primitives': scalar, 'additional_real_divide_by_3_scans': scans, + 'native_mass': 5073, 'native_children': 3507, 'new_native_children': 0, + 'all_input_columns': n + 8, 'logical_helpers_under_inherited_wrapper_contract': 408, + 'owned_output_fields_zero': 8, 'private_zero_buffers': 91, + 'factor_owned_clears': 9, 'content_inverse_columns': n, 'controls': controls, + } + print('PASS serial balanced', family_name, provider, name, scalar, scans, flush=True) + result = {'status': 'PASS_INDEPENDENT_SERIAL_BALANCED_LOCAL_WORDS', 'core_checks': core_reports, 'families': reports, + 'exact_signed_endpoint_F_commutations': commutations, + 'A8_grid_factor_binding': 'All six A8 factors equal the frozen grid-theorem factors after seven adjacent zero-CLEAR removals and the proved endpoint frame assignment.', + 'odd_division_scope': 'Exact rational local operator, with /3 recorded as a separate opcode. Machine admission requires the separately reviewed common-grid contract.', + 'not_claimed': ['A dyadic-only implementation of the A8 inverse', 'Idle preparation', 'Complete controller, owners, or decoder', 'Complete recursive hosting, cost, precision, or kappa'], + 'native_dependency_sha256': '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d', + 'checker_sha256': hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), 'seconds': time.monotonic() - started} + manifest.write_text(json.dumps(INPUTS, indent=2, sort_keys=True) + '\n') + result['input_manifest_sha256'] = hashlib.sha256(manifest.read_bytes()).hexdigest() + out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json new file mode 100644 index 0000000000..708550a6b4 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/FREEZE.json @@ -0,0 +1,15 @@ +{ + "artifacts": { + "REVIEW.md": "0f7120852ea2b76fc3a126e424906cba1127a477cfe2524068a7af1f945fed9f", + "check.py": "d55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90", + "verified-normal/INPUTS.json": "8dcc35233de782f18cdb189be996376ec872dc06f38ac0d9744a29043b6469ab", + "verified-normal/REVIEW.json": "2bfa11248a1d1cc38a1b40803fac316e33f525ccf44f23f614cfbf73a805a800", + "verified-optimized/INPUTS.json": "8dcc35233de782f18cdb189be996376ec872dc06f38ac0d9744a29043b6469ab", + "verified-optimized/REVIEW.json": "2bfa11248a1d1cc38a1b40803fac316e33f525ccf44f23f614cfbf73a805a800" + }, + "no_publication": true, + "normal_optimized_inputs_equal": true, + "normal_optimized_receipt_equal": true, + "producer_freeze_sha256": "e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280", + "status": "PASS_INDEPENDENT_STRUCTURED_S24_PHYSICAL_TRANSFER" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/REVIEW.md new file mode 100644 index 0000000000..e3e3d9100f --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/REVIEW.md @@ -0,0 +1,243 @@ +# Independent review of the complete structured S24 words + +The 24 frozen words pass an independent reverse-column check. This covers +the original and scaled query gauges, both current providers, and six +complete words in each case. No material defect was found. + +The scaled balanced backward word costs 91,208 real dyadic scalar +primitives. The scaled diagonal backward word costs 91,592. The scaled +normalized backward word costs 96,012. The scaled balanced forward word +costs 91,830. Each word retains 3,507 native children with rank mass +5,073. These are complete local word bills. They do not establish a +complete supplier or a change to the complete kappa bound. + +## Frozen inputs and independent method + +The producer freeze is +`new-core-transfer-20261017/structured-centres-transfer-20261018/FREEZE.json`, +with SHA-256 +`e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280`. +The original payload has decompressed SHA-256 +`334ae2c970d591fd2999d4472dea2add296c978d5e7479b69210e4c3d05f76ff`. +The scaled payload has decompressed SHA-256 +`ea140f936e4832d19db406bada5d4ab12ec6ea1dfc0d6e3e3a4c86991414ee2b`. +The checker verifies the complete producer manifest and the two source +manifests. The input record and its pinned phase bridge give the exact +input hashes. + +The review does not import a producer module. It imports only the prior +independent ordered-polynomial and scalar-price functions in +`new-native-recipes-20261017/check_raw_selected.py`, with SHA-256 +`c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef`. +The new interpreter propagates each output column backward through the +literal program. It uses exact rational coefficients. Port operators +and native warp operators are free invertible letters. The interpreter +cancels adjacent inverse letters only. The two warp orientations use +disjoint alphabets. Thus this check makes no assumption that a port +operator commutes with a coordinate matrix or a warp. + +Each complete check covers 640 input columns: 224 data fields, 408 helper +fields, and eight owned fields. It also includes all 91 private output +fields. The helper map is identity in the source's logical coordinates. +Its physical meaning uses the exact inherited residual wrappers. The +owned fields finish at zero in the initial frame. The private fields +finish at zero, and their actual allocation and return records close. +Owned admission is the permitted CLEAR operation; this review does not +claim to restore an arbitrary state that preceded owned admission. + +## Actual response and physical representation + +The checker reads the actual response and centre rows from the frozen +structured-centre payload. It verifies the six disjoint eight-port +minors, each with row Gram matrix `2I_8`. Their union is the 48-port +centre support. The first three minors define the selected set S of +24 ports. The other set U has 88 ports, including the complete 64-port +Hadamard block. + +The response has the exact form + +```text +E = E_64 direct-sum (-I_48 + K^T K/2), +E_64^2 = 4I_64, +K K^T = 12I_8. +``` + +The new core uses `J=-E`. The checker finds the actual forward transfer +sites and checks all 184 paired backward sites. It verifies that the +producer changed only the signs at those sites. Every native record is +unchanged. The complete replay proves the forward response `y += Jx` +and backward response `x -= Jy`. Here J is symmetric. No inverse-response +interpretation is used. + +Write `Q_p` for the actual input-line operator on port p and +`q_p=Q_p^-1`. The physical input is `X_p=Q_p x_p`, `Y_p=y_p`. +After the common output FULL transform is removed, physical output is +`X_p=x'_p`, `Y_p=q_p y'_p`. The review inserts both conversions at their +actual positions. It checks every actual input line and output hole. +It also checks all scalar operation frames, nested native child ranks, +signed warp classes, helper endpoints, and private lifetimes. + +Partition J into selected and ordinary blocks: + +```text +J = [J_SS J_SU] + [J_US H ]. +``` + +On the 24 ordinary centre ports, +`H=I-K_U^T K_U/2` and `H^-1=I-K_U^T K_U/4`. +On the other 64 ports these maps are `-E_64` and `-E_64/4`. +Let P be minus one on S and plus one on the ordinary centre ports. +The full data map and its inverse are + +```text +A_48 = P - K^T K/4, +A_48^-1 = P + P K^T K P/4, +A_64 = -E_64/4, +A_64^-1 = -E_64. +``` + +The checker derives these maps from the actual source matrix and proves +both inverse orders for H, A, and the 64-port map. + +## Complete maps + +For logical input `x=(a,u)`, `y=(b,v)`, the raw backward word gives + +```text +X_S = q_S b - J_SS Q_S a - J_SU v, +X_U = u - J_US Q_S a - H v, +Y_S = Q_S a, +Y_U = v. +``` + +The balanced backward word applies `H^-1` to this completed X_U. +The diagonal backward word then applies `X_S -= J_SU X_U`, with the +selected update included in the serial query word. Put +`L=diag(Q_S,I_U)` and `D=diag(q_S,-I_U)`. The complete diagonal result is + +```text +X' = A L x + D y, +Y'_S = Q_S a, +Y'_U = v. +``` + +The normalized word appends the actual full A inverse. A single reverse +pass through this complete computation proves + +```text +X'' = L x + A^-1 D y. +``` + +The checker separately extracts every original-X column. The block is +exactly L. It also verifies that each selected physical Y output is the +common FULL transform of the original a. It does not infer the complete +result from separate tests of the core and suffix. + +The balanced forward word applies H to current ordinary Y, then uses +the actual selected input and output exchanges. Its complete result is + +```text +X_S = a + q_S (J_SS q_S b + J_SU u), +X_U = u, +Y_S = b, +Y_U = H(u+v) + J_US q_S b. +``` + +The raw forward word has `Y_U=v+Hu+J_US q_S b`. The ordered Q factors +above are part of the tested maps. As a negative control, the checker +replaces `A^-1 D y` with `D A^-1 y`. All four complete normalized +computations reject that incorrect order. + +## Coherent query restoration and scalar invoices + +The reverse check inserts an output observable immediately before every +COPY into C0 and every CLEAR after the first owned admission. Every such +observable pulls back to zero. This proves that the query has been +restored before its storage is overwritten or its frame is reset. +The complete normalized word has 20 such observables. Each balanced or +diagonal backward word has ten. Each balanced forward word has nine. + +A negative control adds an input-dependent residual to C0 immediately +before the final CLEAR in an ordinary inverse gauge. The complete +endpoint still passes when the zero observables are omitted. The same +mutated word fails when the zero observables are included. Thus this +review checks coherent restoration, not only the final endpoint. + +The review reconstructs all sixteen four-port Hadamard kernels and all +32 physical exchanges from the packet's group partition. It compares +the complete literal word and its reversed scalar inverse. Both inverse +orders pass. Each word costs `16*76+32*26=2048`. The selected exchange +pass contains 24 literal exchanges and costs 624. No permutation in +these words is treated as free. + +The seven scalar gauge words pass independently on all 640 columns: + +| Gauge | Original | Scaled | +| --- | ---: | ---: | +| Ordinary Y | 3,286 | 3,222 | +| Ordinary inverse X | 3,384 | 3,224 | +| Fused inverse X | 3,960 | 3,608 | +| Data X | 4,740 | 4,420 | +| Data inverse X | 4,740 | 4,420 | +| Hadamard X | 2,048 | 2,048 | +| Hadamard inverse X | 2,048 | 2,048 | + +The complete words have these independently counted bills: + +| Complete word | Original | Scaled | +| --- | ---: | ---: | +| Raw backward | 87,984 | 87,984 | +| Balanced backward | 91,368 | 91,208 | +| Diagonal backward | 91,944 | 91,592 | +| Normalized backward | 96,684 | 96,012 | +| Raw forward | 88,608 | 88,608 | +| Balanced forward | 91,894 | 91,830 | + +All entries include the full 87,360 scalar core, required selected +exchanges, gauges, owned admission, and owned frame resets. There is +no odd-division operation. Each word has native profile +`{1:2433,2:724,3:228,4:102,5:20}`, hence 3,507 children and rank mass +5,073. The scaled gauge changes do not alter that native profile. + +## Phase dependency and limits + +This review binds the entire canonical object to the compressed source +bytes of both previously reviewed phase providers. It also binds every +retained native record to the source clean word. It checks the literal +phase-review manifests and proof pins in `NATIVE-GEOMETRY-BRIDGE.json`. +The earlier independent review receipt has SHA-256 +`924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d`. +That review covers the actual orientation-specific warp tables, +ordinary adapters, residual wrappers, and endpoint frames. No new +native event is introduced by these 24 words. This review inherits +that exact phase result; it does not claim a second native phase sweep. + +The result proves the complete local operations and their scalar bills. +It does not prove a route between successive supplier stages, access +to every later caller view, caller exterior phase closure, simultaneous +child hosting, a recursive error bound, or a complete supplier. The +local matrix inverse is not by itself a legal global decoder. The +complete kappa bound remains unchanged by this review. + +## Executed checks + +From the workspace root, these two commands passed: + +```sh +python3 -I -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal +python3 -I -B -O work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-optimized +``` + +Each command ended with +`PASS_INDEPENDENT_STRUCTURED_S24_PHYSICAL_TRANSFER`. The two receipts +and the two input records are byte-identical. The receipt has SHA-256 +`2bfa11248a1d1cc38a1b40803fac316e33f525ccf44f23f614cfbf73a805a800`. +The input record has SHA-256 +`8dcc35233de782f18cdb189be996376ec872dc06f38ac0d9744a29043b6469ab`. +No optimized-mode assertion removal can skip a claim check: the checker +uses explicit exceptions for all requirements. + +The code, this report, input records, and validation receipts were +prepared with AI assistance. Frozen source files were not changed. +No PR, push, commit, or publication was made. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py new file mode 100644 index 0000000000..ca45d08f6b --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/check.py @@ -0,0 +1,592 @@ +#!/usr/bin/env python3 +"""Review the structured S24 transfer with reverse ordered columns.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json +import shutil + + +HERE = Path(__file__).resolve().parent +REVIEW = HERE.parent +LANES = REVIEW.parent +SOURCE = LANES / 'new-core-transfer-20261017/structured-centres-transfer-20261018' +CENTRES = LANES / 'controller-followthrough-20261017/structured-centres' +PINS = { + 'transfer': 'e0cd1e8a7c99e7aecf663e735e56a5b7e98b4bff4f696e6b0339463ccad4c280', + 'centre': '5e762396d55ac47b34bbe60e30c62a429ddd6fc1f018cb4b4b94d3670d374a19', + 'scaled': 'deea4844f2327a73129c213df915819ec845fb9c97a30498d43f231a2267e733', + 'clean': 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', + 'phase_review': '924b898621dd25ea9d3330563fdf7acf6c3b63dc99526e15faaee682f4bdd94d', + 'algebra': 'c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef', +} +INPUTS = {} + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def read(path, pin=None, zipped=False): + raw = path.read_bytes() + content = gzip.decompress(raw) if zipped else raw + record = {'sha256': sha256(raw).hexdigest()} + if zipped: + record['decompressed_sha256'] = sha256(content).hexdigest() + INPUTS[str(path.relative_to(LANES.parent))] = record + need(pin is None or sha256(content).hexdigest() == pin, 'Input pin: ' + str(path)) + return json.loads(content) + + +def frozen(folder, name, pin): + manifest = read(folder / name, pin) + for path, digest in manifest['artifacts'].items(): + raw = (folder / path).read_bytes() + need(sha256(raw).hexdigest() == digest, 'Frozen artifact: ' + path) + INPUTS[str((folder / path).relative_to(LANES.parent))] = {'sha256': digest} + return manifest + + +path = REVIEW / 'check_raw_selected.py' +need(sha256(path.read_bytes()).hexdigest() == PINS['algebra'], 'Pinned independent algebra') +INPUTS[str(path.relative_to(LANES.parent))] = {'sha256':PINS['algebra']} +spec = importlib.util.spec_from_file_location('s24_independent_algebra', path) +alg = importlib.util.module_from_spec(spec) +spec.loader.exec_module(alg) +add, atom, left = alg.acc, alg.atom, alg.op_left + + +def wire(token, private): + kind, index = token + if kind == 'L': + need(0 <= index < 632, 'Live field range') + return index + if kind == 'C': + need(0 <= index < 8, 'Owned field range') + return 632 + index + need(kind == 'Z' and index in private, 'Private field range') + return private[index] + + +def boundary(events, frame): + frames = [frame] * 224 + [0] * 8 + operations, price = [], 0 + for event in events: + kind, target, declared = event['kind'], event['target'], event['frame'] + need(0 <= target < 224 or target == 632, 'Boundary touches only data and C0') + slot = target if target < 224 else 224 + if kind == 'clear': + need(target == 632, 'Boundary CLEAR is owned') + frames[slot] = declared + operations.append(('clear', target)) + price += alg.price(kind) + continue + need(frames[slot] == declared == frame, 'Physical boundary target frame') + if kind == 'scale': + coefficient = Q(event['coefficient']) + operations.append(('scale', target, coefficient)) + price += alg.price(kind, coefficient) + continue + source = event['source'] + need(0 <= source < 224 or source == 632, 'Boundary source range') + other = source if source < 224 else 224 + need(source != target and frames[other] == declared, 'Physical boundary source frame') + if kind == 'copy': + need(target == 632, 'Only owned boundary COPY') + operations.append(('copy', target, source)) + price += alg.price(kind) + else: + need(kind == 'add', 'Boundary scalar opcode') + coefficient = Q(event['coefficient']) + operations.append(('add', target, source, coefficient)) + price += alg.price(kind, coefficient) + need(frames[224:] == [0] * 8, 'Boundary owned frame exit') + return operations, price + + +def core(events, c, direction): + private = {key: 640+i for i, key in enumerate(c['zero_buffers'])} + frames = c['start'][:] + [0] * 8 + [None] * len(private) + active, allocated, returned = set(), set(), set() + allowed_warps = set(map(tuple, c['warp_edges'])) + operations, invoice, profile = [], 0, Counter() + for event in events: + tag = event[0] + if tag == 'scalar': + gate, declared = event[1:] + kind, target = gate[0], wire(gate[1], private) + need(target < 640 or target in active, 'Active core target') + if kind == 'clear': + need(632 <= target < 640, 'Only owned core CLEAR') + frames[target] = declared + operations.append(('clear', target)) + invoice += alg.price(kind) + elif kind == 'scale': + need(frames[target] == declared, 'Core SCALE frame') + coefficient = Q(*gate[2:]) + operations.append(('scale', target, coefficient)) + invoice += alg.price(kind, coefficient) + else: + need(kind == 'add', 'Core ADD grammar') + source = wire(gate[2], private) + need(source < 640 or source in active, 'Active core source') + need(source != target and frames[source] == frames[target] == declared, 'Core ADD frame') + coefficient = Q(*gate[3:]) + operations.append(('add', target, source, coefficient)) + invoice += alg.price(kind, coefficient) + elif tag == 'climb': + _, _, target, old, new, rank = event + before, after = c['frames'][old], c['frames'][new] + need(frames[target] == old, 'Native input frame') + need(alg.rank(before + after) == len(after) and rank == len(after)-len(before) > 0, + 'Nested native child and exact rank') + frames[target] = new + profile[rank] += 1 + elif tag == 'warp': + target, symbol, old, new = wire(event[1], private), *event[2:] + need(target < 640 or target in active, 'Active warp target') + need(frames[target] == old and (1 if symbol > 0 else -1, abs(symbol), old, new) in allowed_warps, + 'Actual signed warp class') + frames[target] = new + letter = (abs(symbol) + (10000 if direction == 'forward' else 20000)) * (1 if symbol > 0 else -1) + operations.append(('operator', target, letter)) + elif tag == 'zero_buffer': + target = private[event[2]] + if event[1] == 'alloc': + need(target not in allocated, 'Single private allocation') + active.add(target) + allocated.add(target) + frames[target] = 1 + operations.append(('zero', target)) + else: + need(event[1] == 'free' and target in active and frames[target] == 1, 'Private return at FULL') + active.remove(target) + returned.add(target) + elif tag == 'adapter': + _, side, target, frame = event + need(side in ('old_to_new', 'new_to_old'), 'Adapter orientation') + endpoint = c['start'] if side == 'old_to_new' else c['final'] + need(endpoint[target] == frame, 'Ordinary adapter endpoint') + elif tag == 'residual_adapter': + _, side, target, entry, *end = event + need(side in ('pre', 'post') and c['start'][target] == entry and + c['final'][target] == (end[0] if end else 1), 'Residual wrapper endpoints') + else: + need(tag == 'phase', 'Known core event') + need(not active and allocated == returned == set(private.values()), 'All private lifetimes close') + need(frames[:640] == c['final'] + [0] * 8, 'Every native endpoint frame') + need(invoice == 87360 and profile == {1:2433,2:724,3:228,4:102,5:20}, 'Core invoice and native profile') + return operations, {'dyadic_real_primitives': invoice, 'native_children': 3507, + 'native_mass': 5073, 'private_returns': 91, 'profile': dict(profile)} + + +def reverse(operations, expected, private=False, coherent=True): + total = 731 if private else 640 + columns = [atom(i) for i in range(total)] + probes, admitted = {}, set() + for position, event in enumerate(operations): + kind, target = event[:2] + if kind == 'clear': + if target in admitted: + probes[position] = total + len(probes) + admitted.add(target) + elif kind == 'copy': + need(target in admitted, 'Owned COPY follows admission') + probes[position] = total + len(probes) + if not coherent: + probes = {} + for position in range(len(operations)-1, -1, -1): + event = operations[position] + kind, target = event[:2] + if kind in ('clear', 'zero'): + columns[target] = {} + elif kind == 'copy': + add(columns[event[2]], columns[target]) + columns[target] = {} + elif kind == 'add': + add(columns[event[2]], columns[target], event[3]) + elif kind == 'scale': + columns[target] = {key: value * event[2] for key, value in columns[target].items()} + else: + need(kind == 'operator', 'Reverse operator grammar') + letter, moved = event[2], {} + for (word, output), value in columns[target].items(): + result = word[:-1] if word and word[-1] == -letter else word + (letter,) + add(moved, {(result, output): value}) + columns[target] = moved + if position in probes: + add(columns[target], atom(probes[position])) + wanted = [{} for _ in range(total)] + for output, row in enumerate(expected): + for (word, source), value in row.items(): + add(wanted[source], {(word, output): value}) + for index, (actual, goal) in enumerate(zip(columns, wanted)): + need(actual == goal, ('Reverse input column or coherent zero observable', index)) + return {'arbitrary_input_columns': 640, 'private_columns': total-640, + 'zero_before_later_CLEAR_or_COPY_observables': len(probes)} + + +def matrix_apply(matrix, values): + result = [] + for row in matrix: + out = {} + for p, coefficient in row.items(): + add(out, values[p], coefficient) + result.append(out) + return result + + +def matrix_product(a, b): + result = [] + for row in a: + out = {} + for i, x in row.items(): + for j, y in b[i].items(): + value = out.get(j, 0) + x*y + if value: + out[j] = value + else: + out.pop(j, None) + result.append(out) + return result + + +def derive(source, receipt, selected): + response = [{int(k): Q(v) for k, v in row.items()} for row in source['response']] + K = [{int(k): Q(v) for k, v in row.items()} for row in source['centre_rows']] + centre = set(receipt['centre_support_ports']) + ordinary = set(range(112)) - set(selected) + hadamard = set(range(112)) - centre + need(len(centre) == 48 and len(hadamard) == 64 and len(selected) == 24, 'Actual split dimensions') + minors = receipt['orthogonal_minor_ports'] + need(len(minors) == 6 and sorted(p for m in minors for p in m) == sorted(centre), 'Six disjoint centre minors') + need(sorted(selected) == sorted(p for m in minors[:3] for p in m), 'Actual first-three-minor selection') + for minor in minors: + need([[sum(a.get(p,0)*b.get(p,0) for p in minor) for b in K] for a in K] == + [[Q(2*(i==j)) for j in range(8)] for i in range(8)], 'Every minor Gram identity') + need(all(len(row) == 12 and set(row.values()) <= {Q(-1),Q(1)} for row in K), 'Actual signed centre rows') + gram = [{q: sum(row.get(p,0)*row.get(q,0) for row in K) for q in centre} for p in range(112)] + gram = [{q:v for q,v in row.items() if v} for row in gram] + for p in range(112): + need(all(response[p].get(q,0) == response[q].get(p,0) for q in range(112)), 'Symmetric actual response') + if p in centre: + desired = {p:Q(-1)} + for q,v in gram[p].items(): + desired[q] = desired.get(q,0)+v/2 + need(response[p] == {q:v for q,v in desired.items() if v}, 'Actual centre response formula') + else: + need(set(response[p]) <= hadamard, 'Separate Hadamard response support') + J = [{q:-v for q,v in row.items()} for row in response] + identity = [{p:Q(1)} for p in range(112)] + H, Hi, A, Ai = (deepcopy(identity) for _ in range(4)) + sign = {p: -1 if p in selected else 1 for p in range(112)} + for p in ordinary: + H[p] = {q:v for q,v in J[p].items() if q in ordinary} + for p in centre & ordinary: + for q,v in gram[p].items(): + if q in ordinary: + Hi[p][q] = Hi[p].get(q,0)-v/4 + for p in centre: + A[p], Ai[p] = {p:Q(sign[p])}, {p:Q(sign[p])} + for q,v in gram[p].items(): + A[p][q] = A[p].get(q,0)-v/4 + Ai[p][q] = Ai[p].get(q,0)+sign[p]*sign[q]*v/4 + H64, Hi64 = deepcopy(identity), deepcopy(identity) + for p in hadamard: + H64[p] = dict(J[p]) + Hi64[p] = {q:v/4 for q,v in J[p].items()} + Hi[p], A[p], Ai[p] = dict(Hi64[p]), dict(Hi64[p]), dict(H64[p]) + for matrix in (H,Hi,A,Ai): + for p,row in enumerate(matrix): + matrix[p] = {q:v for q,v in row.items() if v} + for first, second in ((H,Hi),(Hi,H),(A,Ai),(Ai,A),(H64,Hi64),(Hi64,H64)): + need(matrix_product(first,second) == identity, 'Exact complete scalar inverse order') + return J,H,Hi,A,Ai,H64,Hi64,ordinary,hadamard + + +def expected_maps(selected, J, H, Hi, A, Ai, ordinary): + identity = [atom(i) for i in range(640)] + selected = set(selected) + x = identity[:112] + y = identity[112:224] + qa = [left(x[p],p,1) if p in selected else {} for p in range(112)] + qb = [left(y[p],p,-1) if p in selected else {} for p in range(112)] + back_query = [qa[p] if p in selected else y[p] for p in range(112)] + forward_query = [qb[p] if p in selected else x[p] for p in range(112)] + jb, jf = matrix_apply(J,back_query), matrix_apply(J,forward_query) + raw_b, raw_f = deepcopy(identity), deepcopy(identity) + for p in range(112): + if p in selected: + raw_b[p], raw_b[112+p] = dict(qb[p]), dict(qa[p]) + add(raw_f[p],left(jf[p],p,-1)) + add(raw_b[p],jb[p],-1) + if p in ordinary: + add(raw_f[112+p],jf[p]) + balanced_b, balanced_f = deepcopy(raw_b), deepcopy(raw_f) + hi_x = matrix_apply(Hi,raw_b[:112]) + hv = matrix_apply(H,y) + for p in ordinary: + balanced_b[p] = hi_x[p] + balanced_f[112+p] = dict(hv[p]) + add(balanced_f[112+p],jf[p]) + lx = [left(x[p],p,1) if p in selected else x[p] for p in range(112)] + dy = [left(y[p],p,-1) if p in selected else {key:-v for key,v in y[p].items()} for p in range(112)] + diagonal, normalized = deepcopy(raw_b), deepcopy(raw_b) + alx, aidy = matrix_apply(A,lx), matrix_apply(Ai,dy) + for p in range(112): + diagonal[p] = alx[p] + add(diagonal[p],dy[p]) + normalized[p] = dict(lx[p]) + add(normalized[p],aidy[p]) + result = dict(raw_backward=raw_b,balanced_backward=balanced_b,diagonal_backward=diagonal, + normalized_backward=normalized,raw_forward=raw_f,balanced_forward=balanced_f) + for rows in result.values(): + rows[632:] = [{} for _ in range(8)] + return result + + +def selected_exchange(selected, frame): + events = [] + for p in selected: + for kind,t,s,value in (('add',p,112+p,1),('add',112+p,p,-1),('add',p,112+p,1),('scale',112+p,None,-1)): + e = {'kind':kind,'target':t,'coefficient':str(value),'frame':frame} + if s is not None: + e['source'] = s + events.append(e) + return events + + +def hadamard_inventory(pairs, gauges, hadamard): + need(len(pairs) == 8 and sorted(p for pair in pairs for side in ('left','right') + for p in pair[side]) == sorted(hadamard), + 'Eight disjoint Hadamard group pairs') + events = [] + + def emit(kind, target, coefficient, source=None): + event = {'kind':kind,'target':target,'coefficient':str(coefficient),'frame':1} + if source is not None: + event['source'] = source + events.append(event) + + for pair in pairs: + for side in ('left','right'): + fields = pair[side] + need(len(fields) == 4, 'Four fields per Hadamard group') + for i,j,d in ((0,1,-1),(2,3,1),(0,2,-1),(1,3,1)): + a,b = fields[i],fields[j] + emit('add',a,d,b) + emit('scale',b,2) + emit('add',b,-d,a) + for i in (1,2): + emit('scale',fields[i],-1) + for a,b in zip(pair['left'],pair['right']): + emit('add',a,1,b) + emit('add',b,-1,a) + emit('add',a,1,b) + emit('scale',b,-1) + inverse = [] + for event in reversed(events): + inverse.append(dict(event,coefficient=str(-Q(event['coefficient']) if event['kind']=='add' + else 1/Q(event['coefficient'])))) + need(gauges['hadamard_X'] == events and gauges['hadamard_inverse_X'] == inverse, + 'Literal sixteen Hadamard kernels, 32 physical exchanges, and complete inverse') + return {'four_port_kernels':16,'physical_exchanges':32,'scalar_events':len(events), + 'literal_complete_inverse_checked':True} + + +def native(event): + return event[0] in ('climb','center','warp','adapter','residual_adapter') + + +def check_core_edit(provider, source, clean): + originals = source['programs'] + need(len(originals['forward']) == len(originals['backward']), 'Paired source index domain') + sites = [] + for i,e in enumerate(originals['forward']): + if e[0] == 'scalar' and e[1][0] == 'add': + target, origin = e[1][1:3] + is_y = lambda f: f[0]=='L' and 112<=f[1]<224 + if is_y(target) and not is_y(origin): + sites.append(i) + need(originals['backward'][i][1][1:3] == [origin,target], 'Paired transposed transfer site') + need(len(sites) == 184 and provider['negative_transfer_sites'] == sites, 'Exactly 184 changed transfer signs') + for direction in ('forward','backward'): + desired = deepcopy(originals[direction]) + for i in sites: + desired[i][1][3] *= -1 + actual = next(p['retained_core'] for p in provider['programs'].values() if p['orientation']==direction) + need(actual == desired, 'Exact complete sign edit') + need([e for e in actual if native(e)] == [e for e in clean['programs'][direction] if native(e)], + 'Exact native record bridge to reviewed current source') + need(all(p['retained_core']==actual for p in provider['programs'].values() if p['orientation']==direction), + 'One exact core for every variant') + + +def physical_frames(c): + need(len(c['start'])==632 and c['start'][112:224]==[0]*112 and c['final'][:112]==[1]*112, + 'Actual source and target endpoint types') + for p,port in enumerate(c['ports']): + need(c['frames'][c['start'][p]] == [port], 'Actual intrinsic input line') + hole = c['frames'][c['final'][112+p]] + need(len(hole)==alg.rank(hole)==8 and all((v & port).bit_count()%2==0 for v in hole), + 'Actual intrinsic output hole') + + +def main(): + parser=argparse.ArgumentParser() + parser.add_argument('--out',type=Path,required=True) + args=parser.parse_args() + need(not args.out.exists(), 'New output directory') + need(shutil.disk_usage(HERE).free>=3*1024**3, 'At least 3 GiB free disk') + transfer=frozen(SOURCE,'FREEZE.json',PINS['transfer']) + frozen(CENTRES,'FREEZE.json',PINS['centre']) + frozen(CENTRES,'GAUGES-V2-FREEZE.json',PINS['scaled']) + source=read(CENTRES/'STRUCTURED-CENTRES-PROGRAM.json.gz','2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1',True) + source_receipt=read(CENTRES/'STRUCTURED-CENTRES.json') + clean=read(LANES/'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz',PINS['clean'],True) + read(LANES/'independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json',PINS['phase_review']) + bridge=read(SOURCE/'NATIVE-GEOMETRY-BRIDGE.json') + for name,pin in bridge['phase_inputs'].items(): + read(LANES/name,pin) if name.endswith('.json') else need(sha256((LANES/name).read_bytes()).hexdigest()==pin,'Phase proof pin') + reports={} + wrong_Q_order=[] + for implementation in ('original','scaled'): + packet=read(SOURCE/(implementation+'-normal')/'STRUCTURED-TRANSFER-PROGRAMS.json.gz',transfer['payload_decompressed_sha256'][implementation],True) + selected=packet['selected_S'] + J,H,Hi,A,Ai,H64,Hi64,ordinary,hadamard=derive(source,source_receipt,selected) + need(packet['ordinary_U']==sorted(ordinary) and packet['hadamard_ports']==sorted(hadamard), 'Exact packet partition') + expected=expected_maps(selected,J,H,Hi,A,Ai,ordinary) + reports[implementation]={} + for provider,item in packet['providers'].items(): + c=item['canonical'] + canonical_path=REVIEW/provider/'CANONICAL-WORD.json.gz' + native_c=read(canonical_path,zipped=True) + need(sha256(canonical_path.read_bytes()).hexdigest() == + bridge['providers'][provider]['phase_canonical_compressed_sha256'], + 'Exact compressed canonical phase input') + need(c==native_c==source['providers'][provider]['canonical']==clean['providers'][provider]['canonical'], + 'Semantic canonical equality to all pinned phase providers') + physical_frames(c) + check_core_edit(item,source['providers'][provider],clean['providers'][provider]) + gauges=item['gauge_words'] + inventory=hadamard_inventory(item['hadamard_pairs'],gauges,hadamard) + gauge_checks={} + matrices=dict(ordinary_Y=H,ordinary_inverse_X=Hi,data_X=A,data_inverse_X=Ai, + hadamard_X=H64,hadamard_inverse_X=Hi64) + compiled={} + for name,events in gauges.items(): + compiled[name]=boundary(events,0 if name=='ordinary_Y' else 1) + identity=[atom(i) for i in range(640)] + wanted=deepcopy(identity) + if name=='fused_inverse_X': + changed=matrix_apply(Hi,identity[:112]) + for p in selected: + for q in ordinary: + if J[p].get(q,0): + add(changed[p],changed[q],-J[p][q]) + else: + offset=112 if name=='ordinary_Y' else 0 + changed=matrix_apply(matrices[name],identity[offset:offset+112]) + offset=112 if name=='ordinary_Y' else 0 + wanted[offset:offset+112]=changed + if any(e['kind']=='clear' for e in events): + wanted[632]={} + check=reverse(compiled[name][0],wanted) + check['dyadic_real_primitives']=compiled[name][1] + gauge_checks[name]=check + identity=[atom(i) for i in range(640)] + zero_c=deepcopy(identity);zero_c[632]={} + for a,b in (('hadamard_X','hadamard_inverse_X'),('hadamard_inverse_X','hadamard_X'), + ('data_X','data_inverse_X'),('data_inverse_X','data_X')): + reverse(compiled[a][0]+compiled[b][0],identity if a.startswith('hadamard') else zero_c) + need(compiled['hadamard_X'][1]==compiled['hadamard_inverse_X'][1]==2048,'Priced64-port words') + input_exchange=selected_exchange(selected,0) + output_exchange=selected_exchange(selected,1) + need(boundary(input_exchange,0)[1]==boundary(output_exchange,1)[1]==624,'Priced24 physical exchanges') + costs={'raw_backward':87984,'raw_forward':88608} + costs.update(dict(zip(('balanced_backward','diagonal_backward','normalized_backward','balanced_forward'), + (91368,91944,96684,91894) if implementation=='original' else (91208,91592,96012,91830)))) + checks={} + for name,program in item['programs'].items(): + direction=program['orientation'] + prefix=gauges['ordinary_Y'] if name=='balanced_forward' else [] + suffix={'raw_backward':[], 'balanced_backward':gauges['ordinary_inverse_X'], + 'diagonal_backward':gauges['fused_inverse_X'], + 'normalized_backward':gauges['fused_inverse_X']+gauges['data_inverse_X'], + 'raw_forward':output_exchange,'balanced_forward':output_exchange}[name] + need(program['prefix']==prefix and program['input_exchange']==input_exchange and program['suffix']==suffix, + 'Exact complete boundary composition') + need(program['events']==prefix+input_exchange+program['retained_core']+suffix,'Complete serialized word') + pre_ops,pre_cost=boundary(prefix+input_exchange,0) + post_ops,post_cost=boundary(suffix,1) + native_ops,native_bill=core(program['retained_core'],c,direction) + operations=[('operator',p,p+1) for p in range(112)]+pre_ops + operations += [('operator',p,-p-1) for p in range(112)]+native_ops + operations += [('operator',112+p,-p-1) for p in range(112)]+post_ops + operations += [('operator',112+p,p+1) for p in range(112)] + check=reverse(operations,expected[name],private=True) + bill=pre_cost+native_bill['dyadic_real_primitives']+post_cost + need(bill==costs[name],'Complete independently counted invoice') + if direction=='backward': + need(all(left(expected[name][112+p],p,-1)==atom(p) for p in selected), + 'Selected productive physical Y is original X') + if name=='normalized_backward': + for p in range(112): + x_part={key:v for key,v in expected[name][p].items() if key[1]<112} + need(x_part==(left(atom(p),p,1) if p in selected else atom(p)), + 'Exact ordered original-X normalization') + mistaken=deepcopy(expected[name]) + ai_y=matrix_apply(Ai,[atom(112+p) for p in range(112)]) + for p in range(112): + mistaken[p]=left(atom(p),p,1) if p in selected else atom(p) + add(mistaken[p],left(ai_y[p],p,-1) if p in selected else + {key:-v for key,v in ai_y[p].items()}) + need(mistaken!=expected[name], 'The actual Q order is material') + try: + reverse(operations,mistaken,private=True) + except ValueError: + wrong_Q_order.append(implementation+'/'+provider) + else: + raise ValueError('Wrong borrowed-source order D A^-1 was accepted') + check.update(dyadic_real_primitives=bill,native_mass=5073,native_children=3507, + helpers_restored_under_inherited_wrappers=408,owned_zero_outputs=8, + exact_Q_order_checked=True,physical_input_line_and_output_hole_checked=True) + checks[name]=check + reports[implementation][provider]={'programs':checks,'gauges':gauge_checks, + 'hadamard_inventory':inventory,'literal_inverse_orders':4} + print(implementation,provider,'six complete ordered words and seven gauges PASS',flush=True) + if implementation=='scaled': + retained_packet=packet + # A hidden residual can preserve the endpoint but must fail the zero check. + events=deepcopy(retained_packet['providers']['base']['gauge_words']['ordinary_inverse_X']) + position=next(i for i,e in enumerate(events) if e['kind']=='clear' and i) + events.insert(position,{'kind':'add','target':632,'source':0,'coefficient':'1','frame':1}) + bad,_=boundary(events,1) + wanted=[atom(i) for i in range(640)];wanted[:112]=matrix_apply(Hi,wanted[:112]);wanted[632]={} + reverse(bad,wanted,coherent=False) + try: + reverse(bad,wanted,coherent=True) + except ValueError as error: + mutation=str(error) + else: + raise ValueError('Hidden query erasure was accepted') + out={'status':'PASS_INDEPENDENT_STRUCTURED_S24_PHYSICAL_TRANSFER','implementations':reports, + 'complete_native_words_checked':24,'hidden_query_erasure_rejected':mutation, + 'hidden_query_erasure_endpoint_still_correct':True, + 'wrong_Q_order_rejected':wrong_Q_order, + 'scope':'Complete local words and coherent scalar gauges. Native phases use exact unchanged orientation-specific source records. No global route, caller exterior phase, hosting, recursive precision, or supplier claim.', + 'checker_sha256':sha256(Path(__file__).read_bytes()).hexdigest()} + args.out.mkdir(parents=True) + (args.out/'REVIEW.json').write_text(json.dumps(out,indent=2,sort_keys=True)+'\n') + (args.out/'INPUTS.json').write_text(json.dumps(INPUTS,indent=2,sort_keys=True)+'\n') + print(out['status'],flush=True) + + +if __name__=='__main__': + main() diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/INPUTS.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/INPUTS.json new file mode 100644 index 0000000000..437aa5f224 --- /dev/null +++ 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"27eb7e2d72fd5c06bb330f1ec6104cd85ae938a55d36aaf8e2e5e94e17c00930" + }, + "lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES-PROGRAM.json.gz": { + "decompressed_sha256": "2b9de1454c2025ae4e230bd64de36b4f6c937628c63fc5afede6640dd3c0e1e1", + "sha256": "b09a60f6d62664aa0304085764ea198d9f86e9ed2d8769d7ae366814c4590f48" + }, + "lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.json": { + "sha256": "7e3d19e85522d76c0e9d1375346474c8d5302382e111dbd53a2108ab01f0a0cc" + }, + "lanes/controller-followthrough-20261017/structured-centres/STRUCTURED-CENTRES.md": { + "sha256": "15b1776fc51995bf27d42627a6e67ac512fc7329a23bbe1dd65a1763eb4bdbca" + }, + "lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges.py": { + "sha256": "00272c23297d2163f5b7459ef7dd643ce2251558b988fc4c85d3d099de5541f5" + }, + "lanes/controller-followthrough-20261017/structured-centres/check_rank8_gauges_v2.py": { + "sha256": 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"sha256": "928c29f5949cddafa3510fe0f95c8b400022ee37410d512c2dcef207bfda2f27" + }, + "lanes/new-native-recipes-20261017/base/CANONICAL-WORD.json.gz": { + "decompressed_sha256": "bd6f84f6e7be075064f04e6141568d295631a3feab1efa75ff0326e6efa4f472", + "sha256": "d5e55b5e62c7728a10599c95ede14b25c291bb9f140ebff5c1d068261a8c7b8b" + }, + "lanes/new-native-recipes-20261017/check_raw_selected.py": { + "sha256": "c6ba81bd2e382e021b2c2ea853f75576dc101400a7cce3408003fe365c7e7bef" + }, + "lanes/new-native-recipes-20261017/extra/CANONICAL-WORD.json.gz": { + "decompressed_sha256": "1cf1714fc2a26c18b2b380827054246550c1402fde379745f626ff61f4ee6224", + "sha256": "a75c5ede11517f21fda825d3b84088c592d2cec7fa74fd77efa9a1e3aab8bc4b" + } +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/REVIEW.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/REVIEW.json new file mode 100644 index 0000000000..cffb226754 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/structured-transfer-review-20261018/verified-normal/REVIEW.json @@ -0,0 +1,528 @@ +{ + "checker_sha256": "d55b2bcdce6764fb97d38bae212840047a739ecf20f17d180f3435e613e2df90", + "complete_native_words_checked": 24, + "hidden_query_erasure_endpoint_still_correct": true, + "hidden_query_erasure_rejected": "('Reverse input column or coherent zero observable', 0)", + "implementations": { + "original": { + "base": { + "gauges": { + "data_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 4740, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "data_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 4740, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "fused_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3960, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "hadamard_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 2048, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "hadamard_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 2048, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_Y": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3286, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 8 + }, + "ordinary_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3384, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + } + }, + "hadamard_inventory": { + "four_port_kernels": 16, + "literal_complete_inverse_checked": true, + "physical_exchanges": 32, + "scalar_events": 352 + }, + "literal_inverse_orders": 4, + "programs": { + "balanced_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91368, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 10 + }, + "balanced_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91894, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "diagonal_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91944, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 10 + }, + "normalized_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 96684, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 20 + }, + "raw_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 87984, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "raw_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 88608, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 0 + } + } + }, + "extra": { + "gauges": { + "data_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 4740, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "data_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 4740, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "fused_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3960, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "hadamard_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 2048, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "hadamard_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 2048, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 0 + }, + "ordinary_Y": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3286, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 8 + }, + "ordinary_inverse_X": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 3384, + "private_columns": 0, + "zero_before_later_CLEAR_or_COPY_observables": 9 + } + }, + "hadamard_inventory": { + "four_port_kernels": 16, + "literal_complete_inverse_checked": true, + "physical_exchanges": 32, + "scalar_events": 352 + }, + "literal_inverse_orders": 4, + "programs": { + "balanced_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91368, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 10 + }, + "balanced_forward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91894, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + "native_mass": 5073, + "owned_zero_outputs": 8, + "physical_input_line_and_output_hole_checked": true, + "private_columns": 91, + "zero_before_later_CLEAR_or_COPY_observables": 9 + }, + "diagonal_backward": { + "arbitrary_input_columns": 640, + "dyadic_real_primitives": 91944, + "exact_Q_order_checked": true, + "helpers_restored_under_inherited_wrappers": 408, + "native_children": 3507, + 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b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/PAIR-BOUND.md @@ -0,0 +1,128 @@ +# Selected Schur blocks for the actual centre matrix + +This note gives a sharp bound in one specified selection class. It does +not give a lower bound of 40 for all selections. The general lower bound +proved here is 24. Independent agent review is still required. + +Let R be the actual 8 by 112 matrix from the frozen supplier. Put +K = R^T/4. For a selected set S, let U be its complement and define + + D_S = I - R_U K_U = R_S R_S^T/4 - 13I. + +The required condition is that D_S be invertible over Z[1/2]. Thus its +determinant must be a nonzero signed power of two. The fixed subsets are + + A = [0, 7, 20, 27, 36, 46, 57, 111] + T = [21, 37, 47, 76, 81, 87, 92, 110]. + +They are disjoint, and R_A R_A^T = R_T R_T^T = 4I. + +## A general lower bound + +Every admissible S that contains A and T has at least 24 columns. + +To prove this, let V contain the r = |S|-16 additional columns. Then + + D_S = -11I_8 + VV^T/4. + +For r < 8, the determinant identity gives + + det(D_S) = (-11)^(8-r) det(-11I_r + V^T V/4). + +The second determinant is in Z[1/2]. Hence det(D_S) is zero or has the +odd factor 11. It is not a unit of Z[1/2]. This proves the bound. + +## The split-pair class + +Split the eight coordinates into 0 through 3 and 4 through 7. The fixed +set A union T consists of the two complete four-coordinate support +planes. Each other column has two nonzero entries in each half. All +nonzero entries are 1 or -1. + +The 96 other columns form 48 pairs. Each pair has representatives + + (a,b), (a,-b), + +up to an overall sign on either column. Each of a and b is a signed +two-coordinate vector in four dimensions. The split-pair class requires +the additional columns in S to be a union of these complete pairs. +This is a restriction on S, not a requirement of the supplier. + +A pair contributes + + 2 diag(aa^T, bb^T) + +to R_S R_S^T. If there are p additional pairs, then D_S is block diagonal. +The negative of twice its first block is + + B = 22I_4 - sum_a n_a aa^T. + +There are twelve possible vectors a up to sign: e_i+e_j and e_i-e_j, +where 0 <= i < j < 4. Each type occurs in four of the 48 actual pairs. +Thus 0 <= n_a <= 4 and sum n_a = p. + +If |S| < 40, then p <= 11. The determinant of each block of D_S is an +integer divided by 16. A unit determinant of the full block diagonal +matrix would require det(B) to be a nonzero signed power of two. + +The finite check covers every multiplicity vector with + + 0 <= n_a <= 4, sum n_a <= 11. + +There are exactly 1,130,168 such vectors. This count is also the sum of +the coefficients of degrees 0 through 11 in (1+x+x^2+x^3+x^4)^12. +No vector gives a nonzero power of two for det(B). The enumeration drops +the restrictions from the second block, so it checks a superset of all +actual split-pair selections. It proves |S| >= 40 in this class. + +The first check uses exact integer elimination. The second check uses +the explicit four-dimensional determinant polynomial and verifies the +count with polynomial multiplication. The second check also derives R +from the frozen supplier word and checks every pair and multiplicity. + +## Sharpness + +The following 40-column set is in the split-pair class: + + [0, 1, 2, 4, 6, 7, 9, 12, 14, 17, 20, 21, 22, 25, 27, 29, + 31, 32, 36, 37, 38, 41, 46, 47, 48, 52, 57, 59, 61, 64, + 68, 76, 81, 87, 92, 97, 106, 109, 110, 111] + +It contains A and T. Its twelve additional pairs give one copy of each +signed root type in each half. Direct integer multiplication gives + + R_S R_S^T = 20I, D_S = -8I, D_S^-1 = -I/8. + +Thus 40 is the exact minimum in the split-pair class. This result does +not improve the existing five-minor construction. It shows that a +smaller support must break the complete split-pair restriction. + +There is a useful family at the boundary. Regard each of the 48 pairs +as an edge from its first root type to its second root type. The actual +graph is the disjoint union of three copies of K_(4,4). A perfect matching +in each copy selects one pair of each root type in both halves. Every +such choice gives the same Gram matrix 20I. This gives (4!)^3 = 13,824 +distinct 40-column supports with D_S = -8I. The family permits a later +choice of ports for native access or routing. No cost benefit from this +choice has been checked here. + +## Source and replay + +The source base is bce54fb3f895cbe5cd4c0eb477c3afeed100190f. The archive +and its members are checked by the published native source-code loader. +The receipt records the exact source and loader hashes. + +From the repository root, run: + +```sh +clang++ -O2 -std=c++17 work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block.cpp -o work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block +work/centre-encoding-campaign-20261014/lanes/schur-selection/enumerate_four_block > work/centre-encoding-campaign-20261014/lanes/schur-selection/FOUR-BLOCK-CANDIDATES.json +python3 -B work/centre-encoding-campaign-20261014/lanes/schur-selection/check_pair_bound.py +``` + +The final command prints `PASS_SPLIT_PAIR_BOUND` and 1,130,168 checked +vectors. It writes [PAIR-BOUND.json](PAIR-BOUND.json). The new code and +proof used OpenAI Codex assistance. The native source-code package +supplies the pinned loader. The encoded-controller lane supplied the +five-minor 40-column comparison. No full supplier, native controller, +recursive invoice, or kappa improvement is claimed here. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/RATIONAL-DECODER-REVIEW.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/RATIONAL-DECODER-REVIEW.md new file mode 100644 index 0000000000..224293b554 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/lanes/temporal-reuse/RATIONAL-DECODER-REVIEW.md @@ -0,0 +1,156 @@ +# Independent review of exact rational scalar operations + +The arithmetic and common-grid theorem pass independent review. The +literal J inverse uses one private accumulator and adds at most one +factor of 13 at every prefix. The paired Smith inverse adds at most one +factor of 3. Both can use the inherited two's-complement record format. +This result does not establish new native access or a complete supplier. + +The reviewed proof is `interface-proof/rational-decoder/RATIONAL-DECODER.md`, +SHA-256 `556c5a9ce23201973ef9738d8bb49ab712d4af67e4132c57a2c39e16767d11eb`. +The producer receipt is +`84d6be9dc9fae46ce6b86e58a8968933c1442347134d9dc1ac2a06e987f6dd80`. +The source pins are +`48886903f9d95d403dec50143b329d1bbcd48f44528bbaaa561bb82fc96e09f5`. +The checker imports no producer code. + +Run from the workspace root: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/temporal-reuse/review_rational_decoder.py +PASS_INDEPENDENT_RATIONAL_DECODER_ARITHMETIC_AND_GRID +``` + +## Source and local word checks + +The checker binds all 13 listed files to their Git blobs at +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. It also reads the pinned +selected archive from Git and checks all three listed member hashes. +It verifies the actual maximum child width 48, dimension 73, and selected +rank mass 1041408. It does not read a moving source branch as evidence. + +The retained scalar emitter permits dyadic ADD coefficients and binary +SCALE coefficients. Its cost formula gives 7232 old real primitives for +each J word. The 16 real odd-division scans are separate work. The +stopped-product note already supplies the common odd-grid method. The +new result applies that method to the actual query matrix and literal +inverse word; it does not introduce the general grid method. + +The checker reads the frozen literal J words and checks them on fixed +integer grids with denominators 4 and 52. Every arithmetic step must +remain integral on its declared grid. It also replays each word in reverse +on all 113 formal columns. Both methods give the stated endpoint, +including the discarded initial C0 value and zero final C0. Both inverse +orders hold on the 112 data coordinates. + +For the inverse, the largest prefix row norm is 56. The binary denominator +height is two and the 13-height is one. Every complete query immediately +before division has 13-height zero relative to the module input. For J, +the largest prefix row norm is 143. The omitted-division control fails. + +The proof of the prefix bound is valid. Distinct rows of R are orthogonal. +Thus a complete new query annihilates every earlier rank-one update. +A partial query can retain one old factor of 13, but division occurs only +after the complete query has removed it. This argument concerns the +linear coefficients relative to arbitrary module inputs. It does not +require those inputs to have zero odd height. + +For Smith, the review builds the literal scalar protocol from the proof +and the actual selected minor. It uses two independent 104-coordinate +graph-input banks, eight selected X coordinates, eight selected Y +coordinates and C0: 225 formal inputs. Allowing independent graph banks +is stronger than requiring them to be routed reads of the same ordinary +input. The replay checks the selected sum, both inverse orders on the +224 live coordinates, unchanged graph inputs and final private zero. + +The forward and inverse costs are 8624 and 8656 old real primitives. +The inverse also has 16 real divisions by 3. Its maximum odd height is +one and its binary height is three. The respective prefix row norms in +this expanded formal model are 66 and 65. Each row reads only unchanged +ordinary inputs and its own selected coordinate, so earlier rows cannot +add a second odd denominator. The graph has 52 signed-half coefficients +per row. The separate allowance of 1712 monomial applications is +2 times 832 graph reads, eight selected reads and 16 target updates. +The eight native children and their 16 wrappers remain separate. + +## Exact records and the common grid + +The revised scan works directly on signed two's-complement records. For +division by an odd prime p, its bit equation is + +```text +2*c_next = c + p*a - b, a = (b-c) mod 2. +``` + +The carry stays in the fixed set 0 through p-1. After w bits, +`p*Q_unsigned = N_unsigned + 2^w*c_final`. Subtract the two sign terms. +Exact signed division is therefore equivalent to +`c_final = p*sign(Q) - sign(N)`. This also proves that a nonmultiple is +rejected. It proves all widths without a numeric sample assumption. + +The independent finite check covers all 64 multiplication and division +transitions for p=3 and p=13. It also checks every signed bit pattern at +widths one through twelve, 16380 cases. It rejects 13020 nonmultiple +division cases and checks the exact multiplication overflow condition. +The arithmetic head can reach the low end and return while it computes. +The stated `4*(w+1)` kernel bound is conservative. It is not a bound with +coefficient four for descriptor preparation or record counters. Those +costs remain in the separate retained linear-scan bound. + +Let each finite parent prefix add at most L_p to its input p-height after +completed children are replaced by their exact dyadic maps. A dyadic +matrix, including its complete helper columns, preserves the maximum +odd height of its inputs. On a live call chain, each unfinished frame +adds at most its own L_p. Induction gives height at most `L_p*(D+1)`. +Completed sibling calls cannot add to this bound. This is the reason to +use depth rather than the total number of recursive calls. + +The same scale S must apply to every physical numerical stream. It must +include arbitrary borrowed values, unchanged data, and coefficient work. +New work initialized to zero needs no separate numerical conversion. +Descriptor bits and opaque address-work strings are not coefficients. +An address routine may treat an encoding as opaque bits, but it must +restore its exact permutation before coefficient arithmetic resumes. + +At each exact division, the output-prefix height bound shows that the +stored numerator remains an integer on the predetermined grid. The +binary guard must independently cover the binary denominator height and +value growth. The proof does not assume that an arbitrary integer on +the finest grid is divisible by p. It starts with dyadic root values +multiplied by S. The checker includes controls for an unscaled helper +and for completed children that return uncancelled odd denominators. + +Root preparation and output unscaling use `K3+K13` constant scans in each +direction on N real records. Their arithmetic-head cost is at most +`8*N*(K3+K13)*(w_g+1)`. The retained counter and descriptor work adds a +separate linear-stream constant. The width increase is at most +`2*K3+4*K13`. No record conversion occurs at a recursive entry or return. + +The selected recurrence has child width at most `48*floor(e/73)`. +The exact inequality `2*48^2 < 73^2` gives a decrease by a factor greater +than two over each two levels. Thus `D <= 2*ceil(log2(d+1))` is safe. Fixed local +height bounds give O(log d) extra bits and O(V log d) root conversion +work. This preserves the asymptotic width under the stated p,d regime. +It does not certify a new complete precision or node-work invoice. + +## Scope and resolved findings + +The first draft used a sign/magnitude scan although the retained interface +uses two's complement. The revised scan removes that format mismatch. +The proof now separates its arithmetic-head count from the unpriced +constant in the retained descriptor layer. + +The first draft also said that an encoded endpoint could not be unscaled. +The revised text is precise: any dyadic encoded endpoint permits exact +arithmetic unscaling, but that operation does not prove the Fourier +endpoint or helper-restoration contract. A rational endpoint with an +uncancelled odd factor does not meet the stated depth-only premise. + +The local common-frame condition is essential. A scalar coefficient is +not raised to the tensor multiplicity, but it also does not repair an +unequal native frame. The 448-map routed J allowance and the Smith +hole-frame copies require their separately proved access conditions. +This review does not emit or check a new native Smith word, new owner +schedule, changed controller, or complete decoded supplier. It does not +review the separate `GRID-ADMISSION.json` envelope. No kappa improvement +is claimed. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.json b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.json new file mode 100644 index 0000000000..41e00b3872 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.json @@ -0,0 +1,302 @@ +{ + "I_minus_D_inverse": [ + [ + "-1", + "0", + "-1/2", + "-1/2", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1", + "0", + "0", + "-1/2", + "-1/2", + "0", + "0" + ], + [ + "-1/2", + "0", + "-1/2", + "-1/4", + "0", + "0", + "0", + "0" + ], + [ + "-1/2", + "0", + "-1/4", + "-1/2", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1/2", + "0", + "0", + "-1/2", + "-1/4", + "0", + "0" + ], + [ + "0", + "-1/2", + "0", + "0", + "-1/4", + "-1/2", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/4" + ] + ], + "T_inverse": [ + [ + "-1/8", + "0", + "1/32", + "1/32", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1/8", + "0", + "0", + "1/32", + "1/32", + "0", + "0" + ], + [ + "1/32", + "0", + "-17/128", + "-1/128", + "0", + "0", + "0", + "0" + ], + [ + "1/32", + "0", + "-1/128", + "-17/128", + "0", + "0", + "0", + "0" + ], + [ + "0", + "1/32", + "0", + "0", + "-17/128", + "-1/128", + "0", + "0" + ], + [ + "0", + "1/32", + "0", + "0", + "-1/128", + "-17/128", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "0", + "-1/8" + ] + ], + "basis_columns_per_inverse_order": 112, + "checker_sha256": "3c5c83012bd075ad092f8acbe94417b7ad31b82908ab829ed5878cbfebd2129c", + "det_I_minus_D": "4096", + "det_T": "16777216", + "det_response": "1/4096", + "gram": [ + [ + 16, + 0, + -8, + -8, + 0, + 0, + 0, + 0 + ], + [ + 0, + 16, + 0, + 0, + -8, + -8, + 0, + 0 + ], + [ + -8, + 0, + 20, + 0, + 0, + 0, + 0, + 0 + ], + [ + -8, + 0, + 0, + 20, + 0, + 0, + 0, + 0 + ], + [ + 0, + -8, + 0, + 0, + 20, + 0, + 0, + 0 + ], + [ + 0, + -8, + 0, + 0, + 0, + 20, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0, + 20, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 20 + ] + ], + "mutation_controls": { + "omit_inverse_outer_signs": true, + "omit_selected_sign": true, + "wrong_centre_constant": true + }, + "ordinary_count": 74, + "scope": "Exact scalar algebra; no native emission, owner, decoder, or supplier claim", + "selected": [ + 1, + 3, + 4, + 17, + 18, + 19, + 20, + 23, + 24, + 26, + 27, + 29, + 35, + 36, + 38, + 39, + 40, + 42, + 45, + 60, + 63, + 66, + 69, + 74, + 75, + 77, + 78, + 84, + 86, + 88, + 97, + 99, + 104, + 105, + 107, + 108, + 109, + 111 + ], + "source_sha256": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "status": "PASS_ROOT_IRREGULAR_38_PORT_UNIT" +} diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.md b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.md new file mode 100644 index 0000000000..ef420eded4 --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/IRREGULAR-SPLIT-20261017.md @@ -0,0 +1,124 @@ +# An irregular 38-port split with two dyadic units + +The actual supplier has a 38-port selected set for which both the ordinary +block and the normalized original-X response are dyadic units. A union of +complete orthogonal eight-port minors first gives these two properties at +40 ports. Thus complete minors impose a restriction that the actual matrix +does not require. + +This result gives an exact scalar code for the raw selected exchange +family. It does not give a complete supplier or a cheaper final decoder. +The budget-geometry worker found the set. The coordinating worker checked +it separately against the pinned supplier matrix and checked both full +inverse identities. No native emission for this irregular set is claimed. + +## General test + +Work over the Gaussian dyadic ring. Let the actual matrices satisfy +`R K=14 I_8`, with `K=R^T/4`. Choose any selected set S and let U be its +complement. Define + + D=R_S K_S, T=D-13I, H=I_U-K_U R_U. + +The determinant identity for rectangular products gives `det(H)=det(T)`. +Thus H is a unit over this ring exactly when T is a unit. In that case, + + H^-1=I_U+K_U T^-1 R_U. (1) + +This follows by multiplication, since `R_U K_U=14I-D=I-T`. + +For the raw selected backward word, put `z=(Q_S a,u)` and let +`E=diag(-I_S,I_U)`. Apply H inverse to completed ordinary X, then apply +the completed-X upper correction `X_S += K_S R_U X_U`. The full result is + + X = diag(Q_S^-1,-I_U) (b,v) + A z, + Y = (Q_S a,v), + A = E+K T^-1 R. (2) + +The raw exchange proof keeps each Q factor in this order. It does not +commute Q through a row of R or K. Both added scalar factors act on the +completed X bank. + +Let `W=I-D`. The second determinant identity is + + det(A)=det(E) det(W)/det(T). + +Consequently, when H is a unit, the original-X response A is a unit +exactly when W is a unit. Its inverse is + + A^-1=E-E K W^-1 R E. (3) + +For verification, use `R E K=14I-2D`, so `T+R E K=W`. The ordered +Woodbury identity then gives (3). This second condition is separate +from invertibility of the complete two-bank raw word. That complete +word remains a unit even when A has a kernel, since Y retains selected +original data. + +These tests are statements about the dyadic ring. Fixed odd division on +an exact common grid can admit additional rational units. A failed +dyadic test is not an obstruction to the required computation. + +## Actual witness + +Use zero-based port indices + + 1,3,4,17,18,19,20,23,24,26,27,29,35,36,38,39,40,42,45, + 60,63,66,69,74,75,77,78,84,86,88,97,99,104,105,107,108,109,111. + +There are 38 selected and 74 ordinary ports. The matrix R is read from +`../lanes/new-core-transfer-20261017/INTERFACE.json`, SHA256 +`c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746`. +This is the interface extracted and independently checked for both new +provider words. + +Put `G=R_S R_S^T` and let + + L=I+(E_02+E_03+E_14+E_15)/4, + +where E_ij is the elementary matrix with its nonzero entry at row i and +column j. Direct exact calculation gives + + 52I-G=32 L L^T, + det(52I-G)=2^40, + det(4I-G)=2^28. + +Since `D=G/4`, these identities give + + det(T)=2^24, det(W)=2^12, det(A)=2^-12. + +Both T inverse and W inverse have only dyadic entries. The checker +constructs them by exact rational elimination, then verifies (1) and +(3) in both orders on all 112 coordinate vectors. It also checks the +full Gram identity and the stated unipotent factor directly from R. + +The witness is constructive. It refutes a 40-port lower bound for this +unit criterion. It does not establish the smallest possible selected +set, a lower bound on native children, or a useful complete decoder. + +## Reproduction and limits + +Run from the workspace root: + + python3 -I -B work/centre-encoding-campaign-20261014/root/check_irregular_split_20261017.py + +Expected output: + + PASS_ROOT_IRREGULAR_38_PORT_UNIT + +The receipt is `IRREGULAR-SPLIT-20261017.json`, SHA256 +`0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f`. +The check uses the standard library and does not import the search +worker's code. It rejects an incorrect centre constant and omitted +selected signs. + +An implementation can form eight current-chart queries in the eight +existing owned private fields, apply the finite centre inverse, scatter +the result, and clear those fields. This describes a scalar construction +at a common-frame boundary. Its exact emitted gates, scalar invoice, +private lifetimes, and full native word still need separate checks. +Actual inter-call views, owner histories, selected phase corrections, +controller composition, and recursive cost remain open. + +Research and verification used OpenAI Codex under the user's direction. +The user has not authorized publication. Before any future PR description, +read `/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/check_irregular_split_20261017.py b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/check_irregular_split_20261017.py new file mode 100644 index 0000000000..6ff452e94f --- /dev/null +++ b/research/raw-selected-centre-units/frozen/work/centre-encoding-campaign-20261014/root/check_irregular_split_20261017.py @@ -0,0 +1,158 @@ +"""Check the 38-port split from the pinned supplier matrix.""" + +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import json + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / "lanes/new-core-transfer-20261017/INTERFACE.json" +SOURCE_PIN = "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746" +SELECTED = [ + 1, 3, 4, 17, 18, 19, 20, 23, 24, 26, 27, 29, 35, 36, 38, 39, 40, + 42, 45, 60, 63, 66, 69, 74, 75, 77, 78, 84, 86, 88, 97, 99, + 104, 105, 107, 108, 109, 111, +] + + +def need(ok, message): + if not ok: + raise RuntimeError(message) + + +def identity(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def mv(matrix, vector): + return [sum(a * x for a, x in zip(row, vector)) for row in matrix] + + +def inverse_and_det(matrix): + n = len(matrix) + rows = [list(row) + unit for row, unit in zip(matrix, identity(n))] + determinant = F(1) + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i][j]), None) + need(pivot is not None, "The centre matrix must be invertible") + if pivot != j: + rows[j], rows[pivot] = rows[pivot], rows[j] + determinant *= -1 + value = rows[j][j] + determinant *= value + rows[j] = [x / value for x in rows[j]] + for i in range(n): + if i != j and rows[i][j]: + value = rows[i][j] + rows[i] = [x - value * y for x, y in zip(rows[i], rows[j])] + need([row[:n] for row in rows] == identity(n), "Exact elimination") + return [row[n:] for row in rows], determinant + + +def dyadic(value): + d = value.denominator + return d & (d - 1) == 0 + + +raw = SOURCE.read_bytes() +need(sha256(raw).hexdigest() == SOURCE_PIN, "Supplier matrix pin") +source = json.loads(raw) +R = [[F(row.get(str(p), 0)) for p in range(112)] for row in source["R"]] +K = [[R[i][p] / 4 for i in range(8)] for p in range(112)] +need(len(SELECTED) == len(set(SELECTED)) == 38, "Thirty-eight distinct ports") +selected_set = set(SELECTED) +ordinary = [p for p in range(112) if p not in selected_set] +need(all(sum(R[i][p] * K[p][j] for p in range(112)) == 14 * (i == j) + for i in range(8) for j in range(8)), "Actual full centre Gram") +G = [[sum(R[i][p] * R[j][p] for p in SELECTED) + for j in range(8)] for i in range(8)] +L = identity(8) +for i, j in [(0, 2), (0, 3), (1, 4), (1, 5)]: + L[i][j] = F(1, 4) +need(all(52 * (i == j) - G[i][j] + == 32 * sum(L[i][k] * L[j][k] for k in range(8)) + for i in range(8) for j in range(8)), "Explicit unipotent factor") +D = [[x / 4 for x in row] for row in G] +T = [[D[i][j] - 13 * (i == j) for j in range(8)] for i in range(8)] +W = [[(i == j) - D[i][j] for j in range(8)] for i in range(8)] +Ti, det_T = inverse_and_det(T) +Wi, det_W = inverse_and_det(W) +need(det_T == 2**24 and det_W == 2**12, "Both exact unit determinants") +need(all(dyadic(x) for matrix in (Ti, Wi) for row in matrix for x in row), + "Both centre inverses are dyadic") + + +def e(vector): + return [-x if p in selected_set else x for p, x in enumerate(vector)] + + +def response(vector): + code = mv(Ti, mv(R, vector)) + return [x + y for x, y in zip(e(vector), mv(K, code))] + + +def response_inverse(vector): + signed = e(vector) + correction = e(mv(K, mv(Wi, mv(R, signed)))) + return [x - y for x, y in zip(signed, correction)] + + +def ordinary_map(vector, invert=False): + query = [sum(R[i][p] * vector[p] for p in ordinary) for i in range(8)] + query = mv(Ti, query) if invert else [-x for x in query] + out = list(vector) + for p in ordinary: + out[p] += sum(K[p][i] * query[i] for i in range(8)) + return out + + +for basis in identity(112): + need(response_inverse(response(basis)) == basis, "A inverse after A") + need(response(response_inverse(basis)) == basis, "A after A inverse") + need(ordinary_map(ordinary_map(basis), True) == basis, "H inverse after H") + need(ordinary_map(ordinary_map(basis, True)) == basis, "H after H inverse") + +controls = {} +wrong_T = [[D[i][j] - 12 * (i == j) for j in range(8)] for i in range(8)] +wrong_Ti, _ = inverse_and_det(wrong_T) + + +def wrong_ordinary_inverse(vector): + query = [sum(R[i][p] * vector[p] for p in ordinary) for i in range(8)] + query = mv(wrong_Ti, query) + out = list(vector) + for p in ordinary: + out[p] += sum(K[p][i] * query[i] for i in range(8)) + return out + + +controls["wrong_centre_constant"] = any( + ordinary_map(wrong_ordinary_inverse(x)) != x for x in identity(112)) +wrong_response = lambda x: [a + b for a, b in zip(x, mv(K, mv(Ti, mv(R, x))))] +controls["omit_selected_sign"] = any(response_inverse(wrong_response(x)) != x + for x in identity(112)) +controls["omit_inverse_outer_signs"] = any( + [a - b for a, b in zip(e(response(x)), mv(K, mv(Wi, mv(R, response(x)))))] != x + for x in identity(112)) +need(all(controls.values()), "Mutation controls") + +receipt = { + "status": "PASS_ROOT_IRREGULAR_38_PORT_UNIT", + "source_sha256": SOURCE_PIN, + "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "selected": SELECTED, + "ordinary_count": len(ordinary), + "gram": [[int(x) for x in row] for row in G], + "det_T": str(det_T), + "det_I_minus_D": str(det_W), + "det_response": str(det_W / det_T), + "T_inverse": [[str(x) for x in row] for row in Ti], + "I_minus_D_inverse": [[str(x) for x in row] for row in Wi], + "basis_columns_per_inverse_order": 112, + "mutation_controls": controls, + "scope": "Exact scalar algebra; no native emission, owner, decoder, or supplier claim", +} +(HERE / "IRREGULAR-SPLIT-20261017.json").write_text( + json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8") +print(receipt["status"]) diff --git a/research/raw-selected-centre-units/frozen/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz b/research/raw-selected-centre-units/frozen/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..5f9ef68098 Binary files /dev/null and b/research/raw-selected-centre-units/frozen/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz differ diff --git a/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/CREDITS.md b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/CREDITS.md new file mode 100644 index 0000000000..24f00912d4 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/CREDITS.md @@ -0,0 +1,19 @@ +# Credits + +- **PR #2908, Jeremy Diviney**: the paired input/output extraction, its compensation rule `C*S`, the exact two-sided certificate (`structure.py`, vendored unchanged) and the closed-adapter admission chain. +- **PR #2917, Mason Hale**: the nine paired extractions and 82-endpoint words under PR2942, the refit/compose producer model that stage 2 follows, the T74 chronology (ORDER/DISPATCH), the allocation checker, moment auditor, extension stage and adapter derivation reused here. +- **PR #2957 / #2948 / #2966, Jeremy Kothe (jeremykothe2)**: the fourteen declared exactness-preserving gate rewrites in five classes (R-retime, A3779-cut-start-read, PM-carrier-lender-entry, B-carrier-retime, A-commuting-swap) and their pure applier (`vendor/declared_rewrites.py`, vendored unchanged); stage 3 composes exactly these rewrites onto this package's stage-2 word (`data/REWRITES-2957.json`, re-addressed with exact preimages). PR2966 composed the same rewrites onto our PR2942 words. +- **PR #2969, Dugongue**: the PR2942 + PR2957 composition at T370 and its cap-level headline nomination, this package's comparator and moment baseline (`allocation/baseline/`). Our stage 3 composes the same fourteen rewrites, here onto the stage-2 word. +- **PR #2918 (research/helper408-rank7-pairing), RossRichardson**: the fixed-cut rank-seven obstruction for helper408; this package's census of fresh rank-7 extractions reproduces it exactly and is consistent with it. +- **PR #2894 / #2833, Jeremy Kothe**: the preload re-synthesis supplier, the frame accounting and inverse-reverse cleanup (`vendor/preload_move.py`), the source materializer and the inherited supplier lineage. +- **PR #2857 / #2848, Yiyang Lu (Lyy-iiis)**: the shared-kernel words, the staged native/overlay tooling and the chronological flow model and realization (edge colouring) used to construct the allocation; PR2843 (Marius-Paul Dumitrean) is that flow model's starting point. +- **PR #2863 / #2839, Dugongue**: the packing lineage and the PR2839 owner engine. +- **Tekalign**: the independent owner/chronology checker (`allocation/vendor/independent_owners.py`) and admission tooling. +- **icekylinx**: the exact free-operator auditor retained as `vendor/audit_local.py` (PR2833). +- **themilkman216**: the observation that a cap-level allocation of these inventories needs a T whose basic counts are integral, which the allocation's degenerate-face step builds on. +- **Gareth Davidson (bitplane), PR #1995 / #2013**: the fixed-word terminal-subspace bounds that frame stage 1's scope; earlier rank-seven helper ends on other words are in `research/complex-rank7-end-pair`, `research/k8-rank7-composition` and the PR1090/PR1104 lineage (credited there). +- **PR #2930 / #2942, Marius-Paul Dumitrean**: the cap allocation of PR2917's words, the four normal-45 extractions under these words, the relaxation tools and the overlay/producer conventions reused here. +- **PR #2979, Marius-Paul Dumitrean (with substantial AI assistance from Anthropic Claude via Claude Code)**: the codimension-2 census on paired-extraction words, the joint end-frame lowering of 22 restored helpers in five groups (stage 1), the five further extractions it makes profitable (stage 2), the exact composition with PR2957's rewrites (stage 3), the producer and local verification for all three stages, the overlay stage `rank7-joint-endframes` with its rebuild guards, the adapter generalization to six width classes, the literal T74 allocation of the changed inventory, its relaxation certificates and recorded gap, and the complete fresh replay. +- **PR #3015, Jeremy Kothe (jeremykothe2)**: the declared literal edit stage (`edits/`, `tools/build_edits.py`) with its independent review (`edits/edits_review.py`), and edit R1 on PR #2979's restore section (carrier 61 for register 63). +- **PR #3042, dcharb78 (with AI assistance)**: the six restore carrier/pivot skips (`R1_E42` at `restore[162:188]`, `26 -> 33` gates skipping `{22, 40, 54, 63}`, and `R2_E7` at `restore[190:203]`, `13 -> 15` gates skipping `{5, 73}`) on PR #2979's words that serve as the direct starting words for `B_586_438` and `B_588_440`. +- **New here (dcharb78, with AI assistance)**: the two coupled `B` + `restore` dying-helper carrier folds (`B_586_438` and `B_588_440`, `6` hunks / `6 -> 5` gates each) and `helper_final` lowerings on entering helpers `586` ($E_{30} \to V_{30,76,82}$) and `588` ($E_{30} \to V_{30,97,127}$) shifting the helper width inventory from `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` to `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` (`+665` net profit per helper, `+1,330` joint), the literal `T74_optimal_idle39` allocation (`allocation/FILL.json.gz`), the 21-control per-word edit review (`edits/edits_review.py`) and 100-control four-stage replay (`verify.py`), and the re-derived paid profile, cap certificate (`certificates/RELAX-CAP.json`), and complete fresh-native admission and release receipts. PR #2979 (mdumitrean), PR #3015 (jeremykothe2), and PR #3042 (dcharb78) are credited first. diff --git a/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/NOTICE b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/NOTICE new file mode 100644 index 0000000000..89c20926ea --- /dev/null +++ b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/NOTICE @@ -0,0 +1,28 @@ +research/rank7-joint-endframes +Copyright 2026 Marius-Paul Dumitrean. Licensed under the Apache License, Version 2.0. +Prepared with substantial AI assistance (Anthropic Claude, via Claude Code). + +This package retains, byte-identical, Apache-2.0 files from: PR #2942 (Marius-Paul Dumitrean, head +a027b0f6fdb0ab2b42ba10fc31b53960166bf2bf, research/paired-extension-normal45): data/PARENT-base.json.gz and +data/PARENT-extra.json.gz (its data/WORD-*.json.gz), comparators/PR2942-CLAIM.json and tools/wordedit.py; PR #2917 +(Mason Hale, head 224bd5e56041c40078ff6b5fa7393733a215de5c, research/paired-helper-extension): structure.py (Jeremy +Diviney's PR2908 two-sided certificate checker), vendor/audit_local.py (PR2833's independent exact auditor, icekylinx +attribution), vendor/preload_move.py (Jeremy Kothe's PR2894 frame accounting and cleanup), allocation/ORDER.json, +allocation/DISPATCH.json and allocation/vendor/ (independent_owners.py: Tekalign's independent owner checker as vendored +by PR2839/PR2917; PLAN.json.gz, TEMPLATE.json.gz); PR #2957 (Jeremy Kothe, head b74b25f3ccc84c16e1a801d73b2f47e5ea764c78, +research/paired-extension-cap-fill-swaps): vendor/declared_rewrites.py (the pure applier of the fourteen declared +rewrites) and comparators/PR2957-CLAIM.json; PR #2966 (Jeremy Kothe, head e62d3eb9005117d82a9babcfa937ecc53237c490, +research/paired-extension-normal45-rewrites): comparators/PR2966-CLAIM.json; PR #2969 (Dugongue, head +e2ca469b08385d3d5e29a918d66dbefaf889e9f3, research/paired-swap-normal45): allocation/baseline/ (its CLAIM.json and its +allocation ORDER.json and PROFILE.json); and PR #2930 (head 81f3b5d12977eba09e06fbff729167d59faabe90): tools/relax.py, +tools/root.py, tools/relax_exact.py. +data/REWRITES-2957.json is Jeremy Kothe's PR2957 rewrite list, re-addressed to this package's stage-2 word with exact +preimages (every entry keeps a credit field). producer.py follows PR2917's producer.py (Mason Hale) for its paired steps; +verify.py, check_allocation.py, check_cap.py, run_registered.py and reproduce.py adapt our PR2942 versions of PR2917's and +PR2930's; tools/audit_allocation_moment.py is PR2917's exact moment auditor with only its authenticated baseline changed (to +the PR2969 headline); tools/derive_adapters.py generalizes PR2917's adapter derivation (PR2908, Jeremy Diviney); +tools/build_overlay.py follows the overlay conventions of PR2908's and PR2917's builders. construction/allocation/ retains +the flow model of PR2857/PR2843 (Yiyang Lu, Marius-Paul Dumitrean) as adapted for this allocation. All original notices of +the exported predecessor packages remain in force. + +Derived work (Apache-2.0): this package (`research/rank7-restore-carrier-skips`) builds on PR #2979 (Marius-Paul Dumitrean, head be191346, research/rank7-joint-endframes) and PR #3015 (Jeremy Kothe, jeremykothe2, research/rank7-joint-endframes-restore-edit), retained byte-identical except for the files named in README.md, plus two declared restore edit blocks (`R1_E42` and `R2_E7` in `edits/EDITS.json` and `edits/FINAL-WORD-*.json.gz`) and their re-derived certificates and complete fresh-native admission and release receipts by dcharb78, with AI assistance. PR #2979's own evidence is kept under evidence/pr2979/. diff --git a/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md new file mode 100644 index 0000000000..8ff62ac757 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/51eb9c4ee9e4722010d308aa3309e039d3940cc2/research/rank7-coupled-586-588-carrier-fold/README.md @@ -0,0 +1,258 @@ +# Coupled `B + restore` dying-helper carrier folds lowering helpers `586` & `588` to rank 7 (`width 6`): conditional κ = 0.001729776089405120334238 − 10⁻⁴⁶ − 10⁻⁷⁰ + +**Selected frontier & archival base disclosure (`certificates/selected-result.json`, `docs/research/pr-intake-decisions.json`, `docs/research/current-priorities.md` Priority Revision 6):** The official selected conditional bound on `main` remains **`κ = 0.001672660197076918`** (PR #1094). This package is built directly and solely on top of our **actual parent lineage**: **PR #2979** (`mdumitrean`, Marius-Paul Dumitrean), **PR #3015** (`jeremykothe2`, Jeremy Kothe), and **PR #3042** (`dcharb78`), which are recorded in `docs/research/pr-intake-decisions.json` as **archived author claims (`merged_for_archive_only`, `partially_reviewed`)**. Concurrent downstream packages on `main`—**PR #3050** (`petalas`, Nick Petalas), **PR #3051** (`jeremydiviney`, Jeremy Diviney), **PR #3054** (`petalas`), **PR #3056** (`petalas`), **PR #3057** (`petalas`), **PR #3060** (`petalas`), **PR #3064** (`dataisfire`), **PR #3065** (`petalas`), and **PR #3103** (`Arham-Tahir64`) (**archived author claims (`merged_for_archive_only`, `partially_reviewed`)**), alongside open PRs **#3112**, **#3119**, **#3126** (`jwr404`, `V45` invoice/chronology audits), **#3114** (`mdumitrean`), **#3115** (`dataisfire`), and **#3125** (`navinor`, negative ceiling screen of `R489`/`R480` on card `complex-new-helper-inventory`)—were **not** used as inputs to construct this package and are cited solely as **external comparators / scoped optimality baselines**. Per `docs/research/current-priorities.md` (**Priority Revision 6**, `incumbent-optimization` / `complex-new-helper-inventory`), reopening a domain bounded by scoped negative/optimality results requires explicitly naming the **changed hypothesis**: +- **PR #3057** and **PR #3065** (`petalas`, **archived author claims (`merged_for_archive_only`, `partially_reviewed`)**) report (author-checked) that on PR #3042's six-skip words, with scalar operations/order and helper endpoints fixed, **all 6,141 `A`/`B`/`restore` frames are already at their global optimum**. +- **Open PR #3114** (`mdumitrean`) reports (author-checked) that with `A`, `B`, warps, and helper endpoints (`{6:16, 7:52}`) fixed, replacing `restore` by any legal scalar gate sequence and re-solving all frames satisfies `cert(W') >= 10,868,103,087 = cert(PR3042)`—so PR #3042's `-29,976` restore saving (`-12 H1 + 6 H2`) exhausts restore-only improvements under fixed `A`, `B`, and fixed helper endpoints. +- **PR #3051**, **PR #3054**, and **PR #3103** (**archived author claims (`merged_for_archive_only`, `partially_reviewed`)**, plus 30-digit refinement open **PR #3115**) report (author-checked) that at $T=740$ ($20 \mid T$), the fixed helper width inventory `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` attains its continuous relaxation cap (`κ = 0.0017297379500642785512428...`). + +**Changed hypothesis in this package (`research/rank7-coupled-586-588-carrier-fold`):** We relax the joint invariance of **`B`-phase carrier routing and `helper_final` terminal subspaces** by coupling a **`B`-phase dying-helper carrier fold** on `(586, 438)` and `(588, 440)` (`B_586_438` and `B_588_440`) with **Stage-1 `helper_final` lowering** of entering helpers `586` ($E_{30} \to V_{30,76,82}$) and `588` ($E_{30} \to V_{30,97,127}$) from rank 8 (`width 7`) to rank 7 (`width 6`), shifting the per-call helper width inventory from **`{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` to `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`** (`24` lowered rank-7 helpers instead of `22`, at unchanged `91` private zero buffers and `66,813` physical families). Neither move works alone (Stage-1 lowering of `586` or `588` alone has a negative surrogate margin of **`-3,345`** each; Stage-2 folding at `dim 8` alone has a negative surrogate margin of **`-973`** each), but together they exhibit a **`+4,983` per-helper (`+9,966` joint) positive cross-term synergy**, saving `-2,091,965` local climb units per helper against the rounded guide value `BE = 2,091,300` for a **surrogate margin of `+665` each = `+1,330` together** on top of `R1_E42 + R2_E7`'s `-29,976` (while the $\kappa$ result and `RELAX-CAP` certificate carry the actual claim). Paired with a repacked literal $T=74$ allocation (`allocation/FILL.json.gz`, `T74_optimal_idle39`), the certified literal $T=74$ root is **`κ in [0.0017297760894051203342384, 0.0017297760894051203342385]`** (`+3.99230172e-8` over PR #3042's $T=74$ root and **`+3.81393408e-8` strictly above PR #3054/#3115's $T=740$ cap-attaining root**), and the new continuous relaxation cap rises to **`RELAX-CAP in [0.0017297774946785970118869, 0.0017297774946785970118870]`** (**`+3.95446143e-8` above PR #3054's $T=740$ cap**). +- **Extended Declared-Edit Checker vs. Unchanged Exact Auditor:** The Stage-4 declared-edit applier and independent edit reviewer (`edits/declared_edits.py`, `edits/edits_review.py`, `verify.py`) were extended from single-hunk `restore` replacements to support multi-hunk `B + restore` edits with automatic `warps` index shifting and declared `helper_final` lowerings to codimension-2 subspaces (`V_{30,76,82}`, `V_{30,97,127}`). The exact forward/dual linear auditor (`vendor/audit_local.py`), monotone frame/cleanup engine (`vendor/preload_move.py`), and two-sided structure certificate checker (`structure.py`) are **unchanged and byte-identical to PR #3042's** (and PR #2979 / PR #2917's). + +```text +Status / UTC update / priority revision: DONE (conditional candidate) · 2026-10-17 · priority revision 6 · base main 997e6a9c +Selected conditional result on main: κ = 0.001672660197076918 (PR #1094, certificates/selected-result.json) +Archival parent lineage & external comparators: Built solely on PR #2979, PR #3015, and PR #3042 (archived author claims: + merged_for_archive_only, partially_reviewed in docs/research/pr-intake-decisions.json). Concurrent PRs #3050, #3051, #3054, + #3056, #3057, #3060, #3064, #3065, #3103 (archived) and #3112, #3114, #3115, #3119, #3125, #3126 (open) are cited solely as external comparators. +Concrete question and changed premise (docs/research/current-priorities.md, Priority Revision 6): PR #3065 reports (author-checked) + all 6,141 frames in PR #3042's words are globally optimal under fixed gates and fixed helper endpoints, and open PR #3114 reports + (author-checked) PR #3042's -29,976 restore saving is globally optimal over all restore gate sequences under fixed A, B, and fixed + helper endpoints {6:16, 7:52}. In PR #2979, entering helpers 586 and 588 were the only two restored helpers whose causal lower bounds + L_586, L_588 already had dimension 7 (k=0 blocking causal gates), yet Stage-1 lowering alone had a -3,345 surrogate margin each. + Can coupling a B-phase dying-helper carrier fold on (586, 438) and (588, 440) with Stage-1 helper_final lowering give 586 and 588 + a positive surrogate margin, shift the width inventory to {6:18, 7:50}, and beat both PR #3042 (T=74) and PR #3054/#3115 (T=740)? +Established result and evidence status: yes. Four declared edits in edits/EDITS.json—R1_E42 (26 -> 33 gates skipping {22, 40, 54, 63}), + R2_E7 (13 -> 15 gates skipping {5, 73}), B_586_438 (6 hunks, 6 -> 5 gates + helper_final[586] -> V_{30,76,82}), and B_588_440 + (6 hunks, 6 -> 5 gates + helper_final[588] -> V_{30,97,127})—move the local profile to {1:2433, 2:724, 3:228, 4:102, 5:20, 8:8} + and the width inventory to {4:26, 5:2, 6:18, 7:50, 8:99, 9:213} (91 buffers). With the repacked literal T74 allocation + (T74_optimal_idle39), complete fresh-native admission and modern outer release pass at + κ = 0.001729776089405120334238 - 10^-46 - 10^-70 (literal root κ in [0.0017297760894051203342384, 0.0017297760894051203342385]; + RELAX-CAP in [0.0017297774946785970118869, 0.0017297774946785970118870]). Author-checked (AI-assisted); not maintainer-reviewed. +Public artifact URL + exact commit: research/rank7-coupled-586-588-carrier-fold (see the PR). +Next useful task: compose the {4:26, 5:2, 6:18, 7:50, 8:99, 9:213} words with a T=740 (20 | T) cap-attaining allocation to close the + 1.4053e-9 T=74 integer-rounding gap, or compose with PR #3060/#3076 native primitive contractions. +Active claim / expiry: released. +``` + +--- + +## 1. Headline Comparison Table + +| Package / Record | Intake / Review Status (`pr-intake-decisions.json`) | κ (headline; candidate rows carry `− 10⁻⁴⁶ − 10⁻⁷⁰`) | Exact Root / Cap Bracket | Local Profile per Call | Helper Width Inventory | Complete Paid Profile ($T=74$ unless noted) | +|---|---|---|---|---|---|---| +| **Selected Result (PR #1094)** | **Official selected conditional bound (`certificates/selected-result.json`)** | **`0.001672660197076918`** | `20908252463461475 / 12500000000000000000` | Selected `k8` baseline | Selected `k8` baseline | Selected `k8` baseline | +| **PR #2969** (`Dugongue`) | Archived comparator (`allocation/baseline/CLAIM.json`) | `0.00172403522474810487855` | Cap-level at $T=370$ | `{1:2430, 2:628, 3:282, 4:110, 5:26, 8:8}` | `{4:26, 5:2, 7:62, 8:100, 9:218}` (86 buf) | $T=370$ baseline | +| **PR #2979** (`mdumitrean`) | **Archived author claim (`merged_for_archive_only`, `partially_reviewed`)** | `0.001729033982646513517717` | Root `0.0017290339826465...`
Cap `0.0017290357648755...` | `{1:2445, 2:706, 3:232, 4:108, 5:18, 8:8}` | `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` (91 buf) | `{1:1645680, 2:470196, 3:159468, 4:71928, 5:13716, 8:5328, 48:28190}` | +| **PR #3015** (`jeremykothe2`) | **Archived author claim (`merged_for_archive_only`, `partially_reviewed`)** | `0.001729150973534224428695` | 1 skip (`63` via `61`) | `{1:2443, 2:707, 3:232, 4:108, 5:18, 8:8}` | `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` (91 buf) | `{1:1644348, 2:470862, 3:159468, 4:71928, 5:13716, 8:5328, 48:28190}` | +| **PR #3042** (`dcharb78`, audited in **#3050**, **#3065**, **#3114**) | **Archived author claim (`merged_for_archive_only`, `partially_reviewed`)** | `0.001729736166387915986812` | Root `[0.0017297361663879159868125, ...6]`
Cap `[0.0017297379500642785512428, ...9]` | `{1:2433, 2:712, 3:232, 4:108, 5:18, 8:8}` | `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` (91 buf) | `{1:1637688, 2:474192, 3:159468, 4:71928, 5:13716, 8:5328, 48:28190}` | +| **PR #3051 / #3054 / #3103** (`jeremydiviney` / `petalas` / `Arham-Tahir64`) & open **PR #3115** (`dataisfire`) | **Archived author claims (`merged_for_archive_only`, `partially_reviewed`)** / open (#3115) | `0.001729737950064278551242` (`#3054`)
`0.001729737950064278551242895823` (`#3115`, `− 10⁻⁵² − 10⁻⁷⁶`) | Attains `{6:16, 7:52}` cap at $T=740$ ($20 \mid T$) | `{1:2433, 2:712, 3:232, 4:108, 5:18, 8:8}` | `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` (91 buf) | $T=740$ cap-attaining profile (`6,660` calls) | +| **This Package (`rank7-coupled-586-588-carrier-fold`)** | **New conditional candidate (author-checked, AI-assisted)** | **`0.001729776089405120334238`** | **Root `[0.0017297760894051203342384, 0.0017297760894051203342385]`**
**`RELAX-CAP` `[0.0017297774946785970118869, 0.0017297774946785970118870]`** | **`{1:2433, 2:724, 3:228, 4:102, 5:20, 8:8}`** | **`{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` (91 buf)** | **`{1:1637692, 2:482184, 3:156741, 4:67932, 5:14710, 8:5328, 39:1, 48:28256}`** | + +### Exact Certified Gains (`check_cap.py`, `CLAIM.json`) +- **Over PR #3042 ($T=74$ literal root):** **`+3.99230172e-8`** (`0.0017297760894051203342384 - 0.0017297361663879159868125`). +- **Over PR #3051 / PR #3054 / PR #3115 ($T=740$ cap-attaining root):** **`+3.81393408e-8`** (`0.0017297760894051203342384 - 0.0017297379500642785512428`, beating the $T=740$ ceiling of the old `{6:16, 7:52}` inventory already at $T=74$). +- **Continuous Relaxation Cap Gain (`RELAX-CAP` over PR #3054 / PR #3042 cap):** **`+3.95446143e-8`** (`0.0017297774946785970118869 - 0.0017297379500642785512428`). +- **Remaining $T=74$ Integer-Rounding Gap to `RELAX-CAP`:** **`1.4053e-9`** (`0.0017297774946785970118869 - 0.0017297760894051203342385`), which is strictly smaller than PR #3042 / PR #2979's `1.7837e-9` gap at $T=74$ and arises from the $20 \mid T$ fractional-basis period effect (`idle_per_replica = {1: 234, 3: 1323/20, 5: 75/4, 48: 7637/20}` in `certificates/RELAX-CAP.json`) closed at $T=740$ in PR #3024, #3030, #3051, #3054, and #3103 (and partially at $T=148$ in PR #3022, #3028, #3064). +- **Over pinned comparators (`comparators/` & `allocation/baseline/`):** + - Over PR #2979: `742106758606816521 / 10^24` $\approx$ **`+7.4210675861e-7`** + - Over PR #2969: `717608082126931961 / (1.25 × 10^23)` $\approx$ **`+5.7408646570e-6`** + - Over PR #2966: `2870908440834078413 / (5 × 10^23)` $\approx$ **`+5.7418168817e-6`** + - Over PR #2957: `6058674334382163267 / 10^24` $\approx$ **`+6.0586743344e-6`** + - Over PR #2942: `3479884770953003121 / (5 × 10^23)` $\approx$ **`+6.9597695419e-6`** + +--- + +## 2. Literal `edits/EDITS.json` Specification (All 4 Edits & `helper_final` Lowerings) + +Every gate count (`len(old) -> len(new)`), register ID, rational coefficient, subspace frame basis, and per-edit profile delta below is derived programmatically and literally from `edits/EDITS.json` (which applies identically to `base` and `extra`). Across all 4 edits (`14` hunks total per word) and `2` `helper_final` lowerings, the only registers touched in `edits/EDITS.json` are: +- **`R1_E42` (`14` registers):** `[18, 22, 34, 40, 45, 54, 61, 63, 92, 103, 108, 226, 228, 230]` +- **`R2_E7` (`6` registers):** `[5, 59, 73, 96, 363, 395]` +- **`B_586_438` (`7` registers):** `[75, 136, 140, 144, 187, 438, 586]` +- **`B_588_440` (`7` registers):** `[84, 162, 172, 196, 221, 440, 588]` + +### Summary Table of the 4 Declared Edits in `edits/EDITS.json` + +| Edit ID | Section & Source Addresses | Hunks & Literal Gate Counts (`len(old) -> len(new)`) | Touched Registers | `helper_final` Lowering (`old -> new`) | Per-Call Profile $\Delta$ | Surrogate Guide $\Delta$ (`c1=2,116,671`, rounded guide `BE=2,091,300`; $\kappa$ carries the claim) | +|---|---|---|---|---|---|---| +| **`R1_E42`** | `restore[162:188]` | 1 hunk: **`26 -> 33`** | `18, 22, 34, 40, 45, 54, 61, 63, 92, 103, 108, 226, 228, 230` (skips `E_42` for `{22, 40, 54, 63}`) | None | **`-8 H1 + 4 H2`** | **`-19,984`** (`+19,984` surrogate margin) | +| **`R2_E7`** | `restore[190:203]` | 1 hunk: **`13 -> 15`** | `5, 59, 73, 96, 363, 395` (skips `E_7` for `{5, 73}`) | None | **`-4 H1 + 2 H2`** | **`-9,992`** (`+9,992` surrogate margin) | +| **`B_586_438`** | `B[52:53]`, `B[784:785]`, `B[794:795]`, `B[1214:1215]`, `B[1230:1231]`, `restore[85:86]` | 6 hunks: **`6 -> 5`** (`1 -> 0` at `B[52:53]`, five `1 -> 1`) | `75, 136, 140, 144, 187, 438, 586` | `586`: `E_30` (`8`) $\to$ `V_{30,76,82}` (`7`) (`[256,128,70,32,18,12,1]`, width `7 -> 6`) | **`+6 H2 - 2 H3 - 3 H4 + 1 H5`** | **`-2,091,965`** vs `BE = -2,091,300` $\implies$ **`+665` surrogate margin** | +| **`B_588_440`** | `B[57:58]`, `B[789:790]`, `B[799:800]`, `B[1222:1223]`, `B[1238:1239]`, `restore[88:89]` | 6 hunks: **`6 -> 5`** (`1 -> 0` at `B[57:58]`, five `1 -> 1`) | `84, 162, 172, 196, 221, 440, 588` | `588`: `E_30` (`8`) $\to$ `V_{30,97,127}` (`7`) (`[256,128,65,33,18,10,6]`, width `7 -> 6`) | **`+6 H2 - 2 H3 - 3 H4 + 1 H5`** | **`-2,091,965`** vs `BE = -2,091,300` $\implies$ **`+665` surrogate margin** | +| **Total** | `B` (`-2` gates, `cleanup` `+2` at `FULL`, warps shifted) + `restore` (`+9` gates) | **14 hunks (`51 -> 58` gates)** | `34` distinct registers | `586, 588` lowered (`{6:16, 7:52} -> {6:18, 7:50}`) | **`-12 H1 + 18 H2 - 4 H3 - 6 H4 + 2 H5`** | **`-4,213,906`** vs `2*BE = -4,182,600` $\implies$ **`+31,306` surrogate margin** | + +### 2.1 Edit 1: `R1_E42` (`restore[162:188]`, `26 -> 33` Gates, Skipping `{22, 40, 54, 63}`, `-8 H1 + 4 H2 = -19,984`) +*(From PR #3042 by dcharb78, superseding PR #3015's single-register edit `R1` on `restore[178:180]`; subsequently audited in external PRs #3050 and #3114.)* +- **Exact $\mathbb{Q}$-Linear Map (`old` and `new` are 100% identical across all 14 touched registers):** + $$X_{18}' = -X_{226}, \quad X_{22}' = -X_{230}, \quad X_{108}' = -X_{22} + 2 X_{34},$$ + $$X_{226}' = -\frac{1}{4} X_{18} - \frac{1}{4} X_{40} + \frac{1}{2} X_{54}, \quad X_{228}' = \frac{1}{4} X_{22} - \frac{1}{2} X_{34} + \frac{1}{4} X_{108},$$ + $$X_{230}' = -\frac{1}{4} X_{22} + \frac{1}{2} X_{34} - \frac{1}{4} X_{40} + \frac{1}{4} X_{45} + \frac{1}{2} X_{54} + \frac{1}{4} X_{61} + \frac{1}{4} X_{63} - \frac{1}{4} X_{92} + \frac{1}{4} X_{103} + \frac{1}{4} X_{228} + \frac{1}{4} X_{230},$$ + and $X_r' = X_r$ for $r \in \{34, 40, 45, 54, 61, 63, 92, 103\}$. +- **Literal Gate Sequence (`33` gates in `new` vs `26` in `old`):** + 1. **Registers `40` and `54` via swap with `226` at Group B's rank-7 subspace $W_B = V_{25,42,51} = [256, 128, 64, 34, 17, 11, 4]$ and `18` at $\text{FULL} = [256, 128, 64, 32, 16, 8, 4, 2, 1]$ (`NEW[0..8]` and `NEW[20..25]`):** + - `NEW[0..3]` at $W_B$ ($\dim 7$): `['add', 40, 54, -2, 1]`, `['add', 40, 226, -1, 1]`, `['add', 226, 40, 1, 1]`, `['add', 40, 226, -1, 1]` (swapping $X_{40} - 2 X_{54}$ into `226` and $-X_{226}$ into `40` at $\dim 7$). + - `NEW[4..8]` at $E_{42} = [256, 128, 64, 34, 16, 10, 4, 1]$ ($\dim 8$): `['add', 18, 226, 1, 1]`, `['scale', 18, 1, -4]`, `['add', 18, 226, -1, 1]`, `['add', 226, 18, 1, 1]`, `['add', 18, 226, -1, 1]` (setting $X_{226}' = -\frac{1}{4} X_{18} - \frac{1}{4} X_{40} + \frac{1}{2} X_{54}$ and leaving `18` with $-(X_{40} - 2 X_{54})$). + - `NEW[20..21]` at $E_{42}$ ($\dim 8$): `['add', 230, 18, -1, 1]` and `['add', 230, 45, -1, 1]` (accumulating $X_{40} - 2 X_{54} - X_{45}$ into `230`). + - `NEW[22..25]` at $\text{FULL}$ ($\dim 9$): `['add', 40, 18, -1, 1]`, `['add', 18, 40, 1, 1]`, `['add', 40, 18, -1, 1]`, `['add', 40, 54, 2, 1]` (swapping `18` and `40` at rank 9 so $X_{18}' = -X_{226}$, and uncomputing `-2*54` on `40` at rank 9). Both `40` and `54` skip $E_{42}$ and climb `7 -> 9` directly (`-4 H1 + 2 H2 = -9,992`). + 2. **Register `22` via swaps with `228` and `230` at Group A's rank-7 subspace $W_A = V_{30,42,52} = [256, 128, 64, 38, 20, 10, 1]$ (`NEW[9..19]`):** + - `NEW[9..16]` at $W_A$ ($\dim 7$): `['add', 22, 34, -2, 1]`, 3-add swap `['add', 22, 228, -1, 1]`, `['add', 228, 22, 1, 1]`, `['add', 22, 228, -1, 1]`, and 4-add swap/transfer `['add', 22, 230, -1, 1]`, `['add', 230, 22, 1, 1]`, `['add', 22, 230, -1, 1]`, `['add', 230, 22, 1, 1]`. This places $X_{22}' = -X_{230}$ onto `22` already at $\dim 7$ ($W_A$), so `22` never touches $E_{42}$ and climbs `7 -> 9` directly at `'end'` (`-2 H1 + 1 H2 = -4,996`), while `228` and `230` carry $X_{22} - 2 X_{34}$ into `NEW[17..19]` (`['add', 228, 108, 1, 1]`, `['scale', 228, 1, 4]`, `['add', 108, 228, -4, 1]` at $E_{42}$). + 3. **Register `63` via carrier `61` at $V_{45} = V_{7,42,45} = [256, 128, 64, 35, 16, 11, 5]$ (`NEW[26..32]`, PR #3015's `R1`):** + - `NEW[26]` at $V_{45}$ ($\dim 7$): `['add', 61, 63, 1, 1]`; `NEW[27]` at $E_{42}$ ($\dim 8$): `['add', 230, 61, -1, 1]`; `NEW[28]` at $\text{FULL}$ ($\dim 9$): `['add', 61, 63, -1, 1]` (so `63` skips $E_{42}$ and climbs `7 -> 9` directly, `-2 H1 + 1 H2 = -4,996`), followed by `NEW[29..32]` at $E_{42}$ ($\dim 8$): `['add', 230, 92, 1, 1]`, `['add', 230, 103, -1, 1]`, `['add', 230, 108, -1, 1]`, `['scale', 230, 1, -4]`. + +### 2.2 Edit 2: `R2_E7` (`restore[190:203]`, `13 -> 15` Gates, Skipping `{5, 73}`, `-4 H1 + 2 H2 = -9,992`) +*(From PR #3042 by dcharb78; subsequently audited in external PRs #3050 and #3114.)* +- **Exact $\mathbb{Q}$-Linear Map (`old` and `new` are 100% identical across all 6 touched registers):** + $$X_5' = -X_{395}, \quad X_{59}' = -X_{363}, \quad X_{96}' = X_5 + X_{395}, \quad X_{73}' = X_{73},$$ + $$X_{363}' = -\frac{1}{4} X_{59} + \frac{1}{4} X_{73} + \frac{1}{4} X_{363}, \quad X_{395}' = -\frac{1}{4} X_5 + \frac{1}{4} X_{96} - \frac{1}{4} X_{395}.$$ +- **Literal Gate Sequence (`15` gates in `new` vs `13` in `old`):** + 1. **Register `73` via pivot `363` at Group C's rank-7 subspace $W_C = V_{7,25,30} = [256, 128, 64, 32, 19, 11, 6]$ and carrier `59` at $\text{FULL}$ (`NEW[0..6]`):** + - `NEW[0]` at $W_C$ ($\dim 7$): `['add', 363, 73, 1, 1]` (folding $X_{73}$ into `363` at $\dim 7$). + - `NEW[1..5]` at $E_7 = [256, 128, 64, 32, 16, 8, 5, 3]$ ($\dim 8$): `['add', 59, 363, -1, 1]`, `['scale', 59, 1, -4]`, `['add', 59, 363, -1, 1]`, `['add', 363, 59, 1, 1]`, `['add', 59, 363, -1, 1]` (producing $X_{363}'$ on `363` and $-X_{363} - X_{73}$ on `59`). + - `NEW[6]` at $\text{FULL}$ ($\dim 9$): `['add', 59, 73, 1, 1]` (cleaning $-X_{73}$ from `59` at rank 9 so `73` skips $E_7$ and climbs `7 -> 9` directly, `-2 H1 + 1 H2 = -4,996`). + 2. **Register `5` via pivot `395` at Group D's rank-7 subspace $W_D = V_{7,51,52} = [256, 128, 64, 37, 21, 8, 3]$ and carrier `96` at $\text{FULL}$ (`NEW[7..14]`):** + - `NEW[7]` at $W_D$ ($\dim 7$): `['add', 395, 5, 1, 1]` (folding $X_5$ into `395` at $\dim 7$). + - `NEW[8..13]` at $E_7$ ($\dim 8$): `['add', 96, 395, -1, 1]`, `['scale', 96, 1, 4]`, `['add', 96, 395, -1, 1]`, `['add', 395, 96, 1, 1]`, `['add', 96, 395, -1, 1]`, `['scale', 96, -1, 1]` (producing $X_{395}'$ on `395` and $X_5 + X_{395}$ on `96`). + - `NEW[14]` at $\text{FULL}$ ($\dim 9$): `['add', 5, 96, -1, 1]` (setting $X_5' = -X_{395}$ at rank 9 so `5` skips $E_7$ and climbs `7 -> 9` directly, `-2 H1 + 1 H2 = -4,996`). + +### 2.3 Edit 3: `B_586_438` + `helper_final["586"]` (`6` Hunks, `6 -> 5` Gates, Lowering `586` from $E_{30}$ to $V_{30,76,82}$, `+665` Surrogate Margin) +- **Algebraic, Subspace & `cleanup` Mechanism:** + In `w_base`, entering helper `586` (`start_extra = [30]`, $\dim 1$) and dying cold helper `438` ($\dim 3$ at `B[759]: 586 += 438`) feed target `136` via `B[52]: 136 += 1/2*586` ($\dim 1$) and `B[784]: 136 -= 1/2*586` ($\dim 6$). Because `B[759]: 586 += 438` occurs between `B[52]` and `B[784]`, the net contribution of `B[52]` and `B[784]` to wire `136` is simply: + $$\frac{1}{2} X_{586} - \frac{1}{2}(X_{586} + X_{438}) = -\frac{1}{2} X_{438}.$$ + Later at `B[1215]: 136 += 75`, wire `136` receives **source register `75`** (which has no other readers after `B[794]` and ends at $\text{FULL}$, $\dim 9$). By deleting `B[52]`, moving `B[794]: 140 -= 1/2*438` to `B[784]` at the 4D join frame $J_{140,438} = [257, 129, 32, 30]$, and folding `75 -= 1/2*438` into `B[794]` at the 5D join frame $J_{75,438} = [257, 129, 70, 32, 30]$, both `438` and `586` traverse a monotone 5-step nested subspace tower entirely inside $L_{586} = V_{30,76,82} = E_{30} \cap E_{76} \cap E_{82} = [256, 128, 70, 32, 18, 12, 1]$ ($\dim 7$): + $$U_{759}(3) \;\subset\; J_{140,438}(4) \;\subset\; J_{75,438}(5) \;\subset\; U_{1214,L}(6) \;\subset\; L_{586}(7).$$ + Compared with PR #3042, `B` loses 1 gate (`B[52]`), `restore` is unchanged except for the frame at `restore[85]`, and inverse-reverse `cleanup` gains 1 gate at $\text{FULL}$ (`75 += 1/2*438`), which costs no frame steps and leaves the total `B + restore + cleanup` gate count unchanged. +- **Literal 6 Hunks in `edits/EDITS.json` (`B_586_438`, `6 -> 5` gates total):** + 1. **Hunk 0 (`B[52:53]`, `1 -> 0` gates):** deletes `['add', 136, 586, 1, 2, [30]]` ($\dim 1$), shifting all `B` warps with position $> 52$ by $-1$. + 2. **Hunk 1 (`B[784:785]`, `1 -> 1` gates):** replaces `['add', 136, 586, -1, 2, [289, 161, 64, 18, 10, 6]]` ($\dim 6$) with `['add', 140, 438, -1, 2, [257, 129, 32, 30]]` ($\dim 4$, normals `[6, 10, 12, 18, 20, 24, 30, 64, 70, 74, ...]`). + 3. **Hunk 2 (`B[794:795]`, `1 -> 1` gates):** replaces `['add', 140, 438, -1, 2, [256, 128, 76, 32, 30, 1]]` ($\dim 6$) with `['add', 75, 438, -1, 2, [257, 129, 70, 32, 30]]` ($\dim 5$, normals `[6, 24, 30, 74, 76, 82, 84, ...]`). + 4. **Hunk 3 (`B[1214:1215]`, `1 -> 1` gates):** lowers the frame of `['add', 144, 438, -1, 2]` from `[256, 128, 70, 32, 20, 10, 1]` ($\dim 7$, normals `[30, 74, 84]`) to `[256, 128, 70, 32, 30, 1]` ($\dim 6$, normals `[6, 24, 30, 74, 76, 82, 84]`). + 5. **Hunk 4 (`B[1230:1231]`, `1 -> 1` gates):** lowers the frame of `['add', 187, 586, -1, 2]` from `[288, 160, 64, 18, 10, 6, 1]` ($\dim 7$, normals `[30, 416, 446]`) to `[288, 160, 70, 18, 12, 1]` ($\dim 6$, normals `[30, 76, 82, 416, 446, 492, 498]`). + 6. **Hunk 5 (`restore[85:86]`, `1 -> 1` gates):** lowers the frame of `['add', 586, 438, -1, 1]` from `[256, 128, 64, 32, 18, 10, 6, 1]` ($\dim 8$, $E_{30}$) to `[256, 128, 70, 32, 18, 12, 1]` ($\dim 7$, $V_{30,76,82}$), and lowers `helper_final["586"]` from `[256, 128, 64, 32, 18, 10, 6, 1]` (`8` basis vectors) to `[256, 128, 70, 32, 18, 12, 1]` (`7` basis vectors, reducing `width(586)` from $8 - 1 = 7$ to $7 - 1 = 6$). +- **Exact Per-Register Profile Delta (`B_586_438` + `helper_final["586"]`):** + - `586`: `[1, 3, 6, 7, 8] -> [1, 3, 6, 7]` (`-1 H1 = -2,116,671`) + - `136`: `[0, 1, 2, 6, 7, 8] -> [0, 1, 2, 7, 8]` (`-1 H1 - 1 H4 + 1 H5 = -9,006`) + - `140`: `[0, 1, 2, 6, 7, 8] -> [0, 1, 2, 4, 7, 8]` (`-1 H1 + 1 H2 + 1 H3 - 1 H4 = +3,102`) + - `75`: `[1, 2, 3, 7, 9] -> [1, 2, 3, 5, 7, 9]` (`+2 H2 - 1 H4 = +9,979`) + - `438`: `[0, 1, 2, 3, 6, 7, 8, 9] -> [0, 1, 2, 3, 4, 5, 6, 7, 9]` (`+1 H1 + 1 H2 - 1 H3 = +6,877`) + - `144`: `[0, 1, 2, 4, 7, 8] -> [0, 1, 2, 4, 6, 7, 8]` (`+1 H1 + 1 H2 - 1 H3 = +6,877`) + - `187`: `[0, 1, 2, 4, 7, 8] -> [0, 1, 2, 4, 6, 7, 8]` (`+1 H1 + 1 H2 - 1 H3 = +6,877`) + - **Total for `B_586_438`:** **`+6 H2 - 2 H3 - 3 H4 + 1 H5 = -2,091,965` units/call** vs rounded guide `BE = -2,091,300` $\implies$ **`+665` surrogate margin per call**. + +### 2.4 Edit 4: `B_588_440` + `helper_final["588"]` (`6` Hunks, `6 -> 5` Gates, Lowering `588` from $E_{30}$ to $V_{30,97,127}$, `+665` Surrogate Margin) +- **Algebraic, Subspace & `cleanup` Mechanism:** + Symmetrically, entering helper `588` (`start_extra = [30]`, $\dim 1$) and dying cold helper `440` ($\dim 3$ at `B[763]: 588 += 440`) feed target `221` via `B[57]: 221 -= 588` ($\dim 1$) and `B[789]: 221 += 588` ($\dim 6$), whose net contribution to `221` is $-X_{588} + (X_{588} + X_{440}) = +X_{440}$. Deleting `B[57]`, moving `172 += 440` to `B[789]` at the 4D join frame $J_{172,440} = [268, 161, 65, 30]$, and folding `84 += 440` into **source register `84`** at `B[799]` (before `B[1223]: 221 += 84`) at the 5D join frame $J_{84,440} = [262, 161, 65, 20, 10]$ routes `440` and `588` along the 5-step nested subspace tower inside $L_{588} = V_{30,97,127} = E_{30} \cap E_{97} \cap E_{127} = [256, 128, 65, 33, 18, 10, 6]$ ($\dim 7$): + $$U_{763}(3) \;\subset\; J_{172,440}(4) \;\subset\; J_{84,440}(5) \;\subset\; U_{1222,L}(6) \;\subset\; L_{588}(7).$$ + Compared with PR #3042, across `B_586_438` and `B_588_440` combined, `B` loses 2 gates (`B[52]` and `B[57]`), `restore` is unchanged except for the frames at `restore[85]` and `restore[88]`, and `cleanup` gains 2 gates at $\text{FULL}$ (`75 += 1/2*438` and `84 -= 440`), costing no frame steps and keeping the total gate count unchanged. +- **Literal 6 Hunks in `edits/EDITS.json` (`B_588_440`, `6 -> 5` gates total):** + 1. **Hunk 0 (`B[57:58]`, `1 -> 0` gates):** deletes `['add', 221, 588, -1, 1, [30]]` ($\dim 1$), shifting all `B` warps with position $> 57$ by an additional $-1$. + 2. **Hunk 1 (`B[789:790]`, `1 -> 1` gates):** replaces `['add', 221, 588, 1, 1, [256, 161, 97, 18, 10, 6]]` ($\dim 6$) with `['add', 172, 440, 1, 1, [268, 161, 65, 30]]` ($\dim 4$, normals `[12, 18, 30, 97, 109, 115, 127, ...]`). + 3. **Hunk 2 (`B[799:800]`, `1 -> 1` gates):** replaces `['add', 172, 440, 1, 1, [268, 128, 64, 32, 30, 1]]` ($\dim 6$) with `['add', 84, 440, 1, 1, [262, 161, 65, 20, 10]]` ($\dim 5$, normals `[30, 97, 127, 160, 190, 193, 223, 266, 276, ...]`). + 4. **Hunk 3 (`B[1222:1223]`, `1 -> 1` gates):** lowers the frame of `['add', 162, 440, 1, 1]` from `[262, 128, 64, 32, 20, 10, 1]` ($\dim 7$, normals `[30, 266, 276]`) to `[262, 128, 65, 33, 20, 10]` ($\dim 6$, normals `[30, 97, 127, 266, 276, 363, 373]`). + 5. **Hunk 4 (`B[1238:1239]`, `1 -> 1` gates):** lowers the frame of `['add', 196, 588, 1, 1]` from `[256, 160, 96, 18, 10, 6, 1]` ($\dim 7$, normals `[30, 224, 254]`) to `[256, 161, 96, 18, 10, 6]` ($\dim 6$, normals `[30, 97, 127, 129, 159, 224, 254]`). + 6. **Hunk 5 (`restore[88:89]`, `1 -> 1` gates):** lowers the frame of `['add', 588, 440, -1, 1]` from `[256, 128, 64, 32, 18, 10, 6, 1]` ($\dim 8$, $E_{30}$) to `[256, 128, 65, 33, 18, 10, 6]` ($\dim 7$, $V_{30,97,127}$), and lowers `helper_final["588"]` from `[256, 128, 64, 32, 18, 10, 6, 1]` (`8` basis vectors) to `[256, 128, 65, 33, 18, 10, 6]` (`7` basis vectors, reducing `width(588)` from $8 - 1 = 7$ to $7 - 1 = 6$). +- **Exact Per-Register Profile Delta (`B_588_440` + `helper_final["588"]`):** + - `588`: `-2,116,671`; `221`: `-9,006`; `172`: `+3,102`; `84`: `+9,979`; `440`: `+6,877`; `162`: `+6,877`; `196`: `+6,877`. + - **Total for `B_588_440`:** **`+6 H2 - 2 H3 - 3 H4 + 1 H5 = -2,091,965` units/call** vs rounded guide `BE = -2,091,300` $\implies$ **`+665` surrogate margin per call**. + +--- + +## 3. Single-Move Negative Controls & 91-Helper Exhaustion Proofs + +### 3.1 Single-Move Negative Controls: Why `586` and `588` Lose Under Stage-1 Alone (`-3,345`) and Stage-2 Alone (`-973`), But Gain `+665` Surrogate Margin Each (`+1,330` Together) When Coupled + +In PR #2979 (`construction/STAGE-PRICES.json`, lines 773–803), helpers `586` and `588` were the **only two restored helpers in the entire word** whose causal lower bounds $L_{586} = V_{30,76,82}$ and $L_{588} = V_{30,97,127}$ already had dimension 7 ($k = 0$ blocking causal gates) that remained unlowered at `end_dim = 8` ($E_{30}$). Evaluating the two single-move controls against the coupled rewrite explains why neither a frame-only solver (PR #2979 Stage 1 / PR #3065) nor a fixed-endpoint gate search (PR #2957 Stage 3 / PR #3114) could discover this improvement: + +| Configuration (per helper `586` or `588`, and joint for the pair) | `helper_final` (`586, 588`) | `B`-Phase Gate Topology | Local Profile $\Delta$ (per helper / joint) | Local Climb Cost $\Delta$ (per helper / joint) | Rounded Guide Charge (`BE = 2,091,300`) | **Surrogate Margin (per helper / joint; $\kappa$ carries the claim)** | +|---|---|---|---|---|---|---| +| **1. Stage-1 Lowering Alone (Fixed Scalar Gates)** | $\dim 7$ ($V_{30,76,82}$, $V_{30,97,127}$) | Unfolded (`B[52], B[784]` and `B[57], B[789]` kept; frames intersected with $L_h$) | `-1 H1 + 7 H2 - 2 H3 - 2 H4` each
(`-2 H1 + 14 H2 - 4 H3 - 4 H4` joint) | `-2,087,955` each
(`-4,175,910` joint) | `+2,091,300` each
(`+4,182,600` joint) | **`-3,345` each (`-6,690` joint — LOSES)** | +| **2. Stage-2 Carrier Fold Alone at `dim 8` (Fixed Endpoints)** | $\dim 8$ ($E_{30}$, unchanged) | Folded (`B[52], B[57]` deleted; `140, 172` at $\dim 4$; `75, 84` at $\dim 6 = \text{meet}(B[1214], B[1215])$) | `-1 H1 + 2 H2 - 2 H4 + 1 H5` each
(`-2 H1 + 4 H2 - 4 H4 + 2 H5` joint) | `+973` each
(`+1,946` joint) | `0` (`width 7` unchanged) | **`-973` each (`-1,946` joint — LOSES)** | +| **3. Coupled Carrier Fold + `dim 7` Lowering (`B_586_438`, `B_588_440`)** | **$\dim 7$ ($V_{30,76,82}$, $V_{30,97,127}$)** | **Folded along 5-step subspace towers (`140, 172` at $\dim 4$; `75, 84` at $\dim 5$)** | **`+6 H2 - 2 H3 - 3 H4 + 1 H5` each**
**(`+12 H2 - 4 H3 - 6 H4 + 2 H5` joint)** | **`-2,091,965` each**
**(`-4,183,930` joint)** | **`+2,091,300` each**
**(`+4,182,600` joint)** | **`+665` each (`+1,330` joint — WINS)** | + +- **Origin of the `+4,983` per-helper (`+9,966` joint) positive cross-term synergy:** + 1. Under **Stage-1 lowering alone**, keeping `B[784]: 136 -= 1/2*586` (and `B[789]: 221 += 588`) inside $L_{586}$ forces `B[784]`'s frame to drop from $\dim 6$ to $\dim 5$, which adds an extra intermediate stop to both `586` (`[1, 3, 5, 6, 7]` instead of `[1, 3, 6, 7]`, costing `+6,877`) and `136` (`[0, 1, 2, 5, 7, 8]` instead of `[0, 1, 2, 7, 8]`, costing `+3,102` vs baseline and `+12,108` vs the folded `[0, 1, 2, 7, 8]` trajectory). + 2. Under **Stage-2 folding at `dim 8` alone**, `B[1214]: 144 -= 1/2*438` remains at $\dim 7$ and `restore[85]: 586 -= 438` remains at $\dim 8$ ($E_{30}$), so folding `438` into `140` ($\dim 4$) and `75` ($\dim 6$) inserts an extra stop on `438` (`[0, 1, 2, 3, 4, 6, 7, 8, 9]`, costing `+6,877`) while `586` only saves `-8,098` (`[1, 3, 7, 8]` vs `[1, 3, 6, 7, 8]`), resulting in a surrogate margin of `-973` per helper. + 3. When **coupled**, `B[1214]` and `B[1230]` drop to $\dim 6$ inside $L_{586}$ while `586` and `136` bypass `B[784]` completely, eliminating both the `+6,877` stop on `586` and the `+12,108` stop on `136` simultaneously (`-3,345 - 973 + 4,983 = +665` surrogate margin per helper). + +### 3.2 Exhaustive 91-Helper Causal Lower-Bound Scan & Structural Obstruction Proofs for All Remaining Candidates + +Tracing the causal lower bound $L_h = \text{lo}[\text{last}[h]]$ across all **91 restored helpers** in the word (`26` at `end_dim = 4`, `30` at `end_dim = 7`, `35` at `end_dim = 8`) by the minimum number $k$ of blocking causal gates in `B + restore` whose removal drops $\dim(L_h)$ shows that beyond `586` and `588` ($k = 0$), every remaining candidate with $k \le 2$ is blocked by one of three exact structural locks: + +1. **The Double Cone Lock on Entering Quartet Sisters `584` and `590` ($\dim 8 \to 7$ at $E_{51}$, $k = 1$ blocking gate):** + - **Free-Operator Algebra Status (`PASS`):** Replacing `B[59]` with `214 += 566`, `B[1196]` with `168 -= 1/2*439`, and `B[1204]` with `214 += 444` while deleting `B[13, 48, 60, 753, 765]` and `restore[82, 91]` leaves `584` and `590` with **0 gates in the entire circuit** and passes 100% of `audit_local.py`'s forward and dual free-operator checks across all 632 inputs. + - **Causal Frame-Chain Obstruction (`FAIL`, 28–74 DAG `lo <= hi` violations across all chronological placements):** Why did `586` and `588` ($E_{30}$) lower cleanly to $\dim 7$ while their even-quartet sisters `584` and `590` ($E_{51}$) are locked at $\dim 8$? + - For `586/438` (and `588/440`), both remaining consumers `187` (`B[1230]`, receiving dying helper `506`) and `144` (`B[1214]`, receiving dying helper `530`) have causal lower bounds contained inside the **same** 7D subspace $L_{586} = V_{30,76,82}$ (and $L_{588} = V_{30,97,127}$). + - For `584/439` (and `590/444`), the two consumers sit in **transverse 7D cones** inside $E_{51}$: the right consumer `115` (`B[1244]: 115 -= 1/2*439`, or `130` at `B[1252]: 130 += 444`) receives **post-warp cold helper `273`** (`B_WARP[541]`, or `289` from `B_WARP[545]`) at $\text{lo\_dim} = 5$ (`[21, 51, 67, 86, 112]`), hard-pinning `B[1244]` to $\text{lo} = \text{hi} = W_{\text{right}} = E_{51} \cap E_{67} \cap E_{112}$ ($\dim 7$); whereas the left consumer `168` (`B[1196]`, or `214` at `B[1204]`) receives entering helper `554` (`B[771]: 168 += 554`, or `566` at `B[59]`), which is upper-bounded by `B[913]: 273 += 554` (`hi_dim = 6`) inside $U_{6,\text{left}} \subseteq W_{\text{left}} = E_{51} \cap E_{82} \cap E_{97}$ ($\dim 7$). Because $U_{6,\text{left}} \not\subseteq W_{\text{right}}$, their join is $\text{join}(U_{6,\text{left}}, W_{\text{right}}) = E_{51}$ ($\dim 8$). + +2. **The Restored-Dirt Isolation Lock on Entering Carrier Helpers `531, 543` and `554, 555, 566, 567` ($\dim 8 \to 7$, $k = 1$ `B` gate):** + - **Causal Frame-Chain Status (`PASS` when `B[916]: 305 += 531` and `B[918]: 321 += 543` are removed):** Deleting `B[916]` and `B[918]` alone drops `531` and `543` to $L_{586} = V_{30,76,82}$ and $L_{588} = V_{30,97,127}$ ($\dim 7$, `width 7 -> 6`) with 0 DAG violations, because `restore[57..59]` and `restore[64..66]` automatically lie inside $L_{586}$ and $L_{588}$. + - **Free-Operator Algebra Obstruction (`FAIL`, `bad_read = [531, 587]` / `[543, 589]`, `bad_targets = [36, 37, 46, 47]`):** At `B[275]: 351 -= 531`, `B[659]: 351 += 1`, and `B[660]: 531 += 351`, helper `531` isolates the clean sum $X_{351} + X_1$ (cancelling $X_{531}$), while `351` retains $-X_{531}$ and immediately absorbs $-\frac{1}{2}(X_{587} + X_{436})$ at `B[661, 786]`. Because consumer `305` is a **warped cold helper** (`B_WARP[385]` before `B[916]` and `B_WARP[611]` after `B[1586]`), routing `305` onto `351` pollutes `305` and output targets `36, 37, 46, 47` with restored helpers `531, 587` and breaks inverse-warp `cleanup` across `B_WARP[611]`. The exact same lock holds for `543` (`321`/`367`), `554, 555` (`273`), and `566, 567` (`289`). + +3. **The Grassmann `6 + 6 - 4 = 8` and `5 + 5 - 3 = 7` Fork-and-Uncompute Lock on the 12 Three-Gate Cold Helpers (`500, 501, 512, 513` at $\dim 8$ and `572..575, 580..583` at $\dim 7$, $k = 1$ gate):** + - Each of these 12 cold helpers $h$ has 1 gate in `A` ($p \mathrel{-}= h$) and 3 post-`A` gates: `B[idx_fold]: h += p` ($\dim 3$), `B[idx_c1]: c_1 += h` ($\dim 6$ or $5$), and `restore[idx_rest]: h -= p` ($\dim 8$ or $7$), while partner $p$ feeds a second consumer `B[idx_c2]: c_2 += p` ($\dim 6$ or $5$). + - **Why `restore: h -= p` is locked at $\dim 8$ (for `500..513`) and $\dim 7$ (for `572..583`):** At `restore: h -= p`, the gate frame must contain $\text{join}(\text{lo}[c_1], \text{lo}[c_2])$. By Grassmann's identity $\dim(U_1 + U_2) = \dim(U_1) + \dim(U_2) - \dim(U_1 \cap U_2)$: + - For `500, 501` ($p = 310, 308$ at $E_{102}$) and `512, 513` ($p = 326, 324$ at $E_{75}$), $\dim(\text{lo}[c_1]) = 6$, $\dim(\text{lo}[c_2]) = 6$, and $\dim(\text{lo}[c_1] \cap \text{lo}[c_2]) = 4$, forcing $\dim(\text{join}(\text{lo}[c_1], \text{lo}[c_2])) = 6 + 6 - 4 = 8$. + - For `572..575, 580..583` ($p = 408, 105, 412, 414, 424, 44, 428, 430$), $\dim(\text{lo}[c_1]) = 5$, $\dim(\text{lo}[c_2]) = 5$, and $\dim(\text{lo}[c_1] \cap \text{lo}[c_2]) = 3$, forcing $\dim(\text{join}(\text{lo}[c_1], \text{lo}[c_2])) = 5 + 5 - 3 = 7$. + - **Why free-algebra splitting (`c_1 += h` at $\dim 3$ + `c_1 += p` at $\dim 6/5$) fails causally (`26` DAG violations per helper):** Consumer $c_1$ is warped by `B_WARP` immediately before `B[idx_c1]` (with pre-warp `hi_dim = 2`), and consumer $c_2$ executes chronologically *before* $c_1$ (`B[825..828]` before `B[835..844]`; `B[853..864]` before `B[885..896]`), so $h$ cannot be discharged into $c_1$ before $c_1$'s `B_WARP` nor uncomputed against $p$ before $p$ climbs to $\text{lo}[c_2]$. + +--- + +## 4. Relaxation Cap (`certificates/RELAX-CAP.json`) & Literal $T=74$ Allocation (`T74_optimal_idle39`) + +- **Fixed-Capacity Relaxation Cap (`tools/relax_exact.py`, `check_cap.py`):** + The exact same 10-pattern optimal LP basis over all 2,551 count-vector patterns remains primal feasible and dual optimal for the shifted width inventory `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` and local profile `{1:2433, 2:724, 3:228, 4:102, 5:20, 8:8}`: + - Per-replica basis counts (`certificates/RELAX-CAP.json`): `8:[8]` $\times 672$, `32:[7,8,8,9]` $\times 61/4$, `32:[4,9,9,9]` $\times 234$ (`idle=1`), `48:[9,9,9,9,9]` $\times 1323/20$ (`idle=3`), `32:[9,9,9]` $\times 75/4$ (`idle=5`), `32:[6,8,9,9]` $\times 162$, `32:[5,9,9,9]` $\times 18$, `16:[8,8]` $\times 53/4$, `16:[7,9]` $\times 1739/4$, and `48:[]` $\times 7637/20$ (`idle=48`). + - Shifting two roles per call from width $7 \to 6$ (`+18` bins of `32:[6,8,9,9]` per replica) eliminates $9/10$ of an `idle=3` bin and $9/2$ of an `idle=5` bin per replica while freeing $+9/10$ of a completely empty `48:[]` (`idle=48`) bin per replica (`+66.6` empty `cap=48` bins across $T=74$), raising the exact relaxation cap to: + $$\kappa_{\text{cap}} \in \left[\frac{17297774946785970118869}{10^{25}},\; \frac{1729777494678597011887}{10^{24}}\right] = [0.0017297774946785970118869,\; 0.0017297774946785970118870].$$ +- **Literal $T=74$ Realization (`allocation/FILL.json.gz`, `T74_optimal_idle39`):** + - Because `width(586)` and `width(588)` shrink from $7 \to 6$ (`allocation/PROVIDERS.json` indices `356` and `358`), naive in-place compaction without repacking `FILL.json.gz` would open 1-unit idle holes inside 1,332 zero-idle bins (`16:[7,9]` and `32:[7,7,9,9]`). + - Applying the LP basis shift on the $T=37$ chronological Hall-marriage window structure (converting 1 early `32:[7,7,9,9]` bin and 88 early `16:[7,9]` bins with `hi <= 44` to `32:[6,8,9,9]` and `16:[8,8]` to satisfy Hall's condition on the 45 early calls $t \in [0, 44]$, while converting 420 late `16:[8,8]` bins to `16:[7,9]` and adding $+666$ `32:[6,8,9,9]` bins per 37 replicas) and consolidating the two $T=37$ remainder bins across the two halves of $T=74$ yields `allocation/FILL.json.gz` (`271,728` role rows, `SHA256 = 68b8bae90144248774b1920cd27f9519caa3dc427704d8a9da6d4c491d912fc4`): + - **Literal $T=74$ idle histogram:** `{1: 17314, 3: 4893, 5: 1390, 39: 1, 48: 28256}` (`+66` completely empty `48:[]` bins, `-63` `idle=3` bins, and `-338` `idle=5` bins vs PR #2979 / PR #3042). + - **Complete $T=74$ paid profile (`allocation/PROFILE.json`):** `{1: 1637692, 2: 482184, 3: 156741, 4: 67932, 5: 14710, 8: 5328, 39: 1, 48: 28256}` (rank mass $74 \times 65,088 = 4,816,512$). + - **Certified literal $T=74$ root (`tools/root.py`):** **`κ in [0.0017297760894051203342384, 0.0017297760894051203342385]`** (headline `0.001729776089405120334238 - 10^-46 - 10^-70`). + +--- + +## 5. Verification & Replay + +1. **Bounded Registered Check (`run_registered.py`, Python 3.12 stdlib, ~55s):** + - `verify_manifest.py` / `MANIFEST.json`: verifies exact SHA256 pins for all 155 files in the package. + - `verify.py`: rebuilds all stage-1, stage-2, stage-3 (`data/WORD-{base,extra}.json.gz`), and stage-4 (`edits/FINAL-WORD-{base,extra}.json.gz`) words from `data/PARENT-{base,extra}.json.gz` and the declared records; runs `vendor/audit_local.py` (`PASS_INDEPENDENT_EXACT_BORROWING_WORD`, forward and dual across all 632 inputs, 91 restored endpoints and buffers) and `vendor/preload_move.py` (`frame_report`) on every stage word; and rejects **100 semantic tamper controls** (`{'stage1': 20, 'stage2': 52, 'stage3': 14, 'stage4': 14}`). + - `edits/edits_review.py`: independently applies `edits/declared_edits.py` (`R1_E42`, `R2_E7`, `B_586_438`, `B_588_440`), runs `vendor/audit_local.py` forward and dual over all 632 inputs on both parent and candidate words, and rejects **21 semantic tamper controls per word** (`PASS_INDEPENDENT_EDIT_REVIEW {'base': 21, 'extra': 21}`). + - `check_allocation.py`: runs the vendored PR #2839 owner engine (`allocation/vendor/independent_owners.py`) on `allocation/FILL.json.gz` (`271,728` roles, six width classes `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`, 91-buffer physical stock `66,813`), rejects 5 owner controls, and verifies strict moment improvement over PR #2969 (`PASS_RANK7_LITERAL_OWNERS_AND_EXACT_MOMENT`). + - `check_cap.py`: verifies Fractions-only relaxation cap certificates (`certificates/RELAX-CAP.json` and `certificates/RELAX-STAGES.json`), the literal gap `1.4053e-9`, 5 cap controls, and exact gains over PR #2979, PR #2969, PR #2966, PR #2957, and PR #2942 (`PASS_LITERAL_ALLOCATION_BELOW_FIXED_INVENTORY_CAP_WITH_RECORDED_GAP`). + - Cryptographic binding of all stored receipts in `evidence/` (`OVERLAY-DERIVATION.json`, `EDITS-DERIVATION.json`, `EDITS-REVIEW.json`, `ADAPTER-DERIVATION.json`, `FULL-NATIVE-RECEIPT.json`, `ADMISSION-RESULT.json`, `RELEASE-RECEIPT.json`, `FULL-REPLAY-RESULT.json`) to the exact words, allocation, and `CLAIM.json`. +2. **Complete Cold/Retained Replay (`reproduce.py` & `verify_release.py`):** + ```sh + python3.12 -B scripts/research_package.py --package research/rank7-coupled-586-588-carrier-fold + OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 \ + python3.12 -B research/rank7-coupled-586-588-carrier-fold/reproduce.py --repo . --work /tmp/rank7-coupled-replay --jobs 2 + ``` + +--- + +## Base Package Lineage Summary (PR #2979, `mdumitrean`) + +This package retains PR #2979's three-stage producer chain (`data/PARENT-{base,extra}.json.gz` $\to$ `data/WORD-{base,extra}.json.gz`) unchanged before applying Stage 4 (`edits/EDITS.json` $\to$ `edits/FINAL-WORD-{base,extra}.json.gz`): +- **Stage 1 (`data/STAGE1-FRAME-EDITS.json`):** Joint codimension-2 end-frame lowering of 22 restored helpers in five shared rank-7 groups (`V45`: `249, 251, 265, 267`; `A`: `331, 450, 451, 508, 509`; `B`: `299, 448, 449, 484, 485`; `C`: `452, 453, 532, 533`; `D`: `454, 455, 556, 557`; 139 gate frame edits, margin `+142,394` units; single-lowering negative controls verified in `verify.py` and independently in open PR #3112). +- **Stage 2 (`data/TRANSFORM-{226,228,230,363,395}.json`):** Five rank-8 paired extractions at normal 42 (`226, 228, 230`) and normal 7 (`363, 395`), raising the buffer count from 86 to 91 (margin `+66,903` units). +- **Stage 3 (`data/REWRITES-2957.json`):** Jeremy Kothe's fourteen PR #2957 rewrites re-addressed with exact preimages (`vendor/declared_rewrites.py`, margin `+52,350` units). + +--- + +## Open next questions + +1. **Closing the `1.4053e-9` integer-rounding gap at $T=740$ ($20 \mid T$):** + The optimal LP basis in `certificates/RELAX-CAP.json` has per-replica counts with denominators $4$ and $20$ (`idle_per_replica = {1: 234, 3: 1323/20, 5: 75/4, 48: 7637/20}`), which become exact integers whenever $20 \mid T$. Composing the `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` words with a $T=740$ chronological flow allocation (as PR #3024, #3030, #3051, #3054, #3103, #3115 did for the `{6:16, 7:52}` inventory) should close the remaining `1.4053e-9` integer gap and reach `RELAX-CAP in [0.0017297774946785970118869, 0.0017297774946785970118870]`. +2. **Unlocking the Double Cone Lock on `584` and `590` via joint `B_WARP` re-synthesis:** + In the free operator algebra, entering helpers `584` and `590` can be completely eliminated (`0` gates in `A+B+restore` across all 632 forward and dual inputs), but post-warp cold helpers `273` and `289` (`B_WARP[541, 545]`) pin right consumers `115` and `130` to $W_{\text{right}} = E_{51} \cap E_{67} \cap E_{112}$ ($\dim 7$) while entering helpers `554` and `566` pin left consumers `168` and `214` to $U_{6,\text{left}} \subseteq E_{51} \cap E_{82} \cap E_{97}$ ($\dim 6$). Jointly re-synthesizing `B_WARP[541, 545]` on `273, 289` and the `554, 566` consumer cone is required to align the two 7D cones inside $E_{51}$. +3. **Composing with native-tariff contractions (PR #3056, #3060, #3076):** + Re-addressing the commuting `A`/`restore`/`cleanup` native-tariff contractions from PR #3056, #3060, and #3076 on top of `edits/FINAL-WORD-{base,extra}.json.gz` can lower the native primitive operation count while preserving the `{1:2433, 2:724, 3:228, 4:102, 5:20, 8:8}` paid profile and `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` width inventory. + +--- + +## Credit + +- **PR #2979 (`mdumitrean`, Marius-Paul Dumitrean)**: the base words, Stage 1–3 producer, rank-7 overlay, cap machinery, and checkers. +- **PR #3015 (`jeremykothe2`, Jeremy Kothe)**: the declared literal edit stage (`edits/`, `tools/build_edits.py`, `edits/edits_review.py`) and edit `R1` (`63` via carrier `61`). +- **PR #3042 (`dcharb78`, with AI assistance)**: the six restore carrier/pivot skips (`R1_E42`, `R2_E7`) on PR #2979's words that serve as the direct starting words for `B_586_438` and `B_588_440`. +- **Inherited lineage**: Jeremy Diviney (PR #2908), Mason Hale (PR #2917), Jeremy Kothe (PR #2966 / #2957 / #2948 / #2894 / #2833), Dugongue (PR #2969 / #2863 / #2839), Marius-Paul Dumitrean (PR #2942 / #2930 / #2843), RossRichardson (PR #2918), Yiyang Lu (PR #2857 / #2848), philippeVV (PR #2853), Gareth Davidson (PR #1995 / #2013), Tekalign (`independent_owners.py`), icekylinx (`audit_local.py`), and themilkman216. +- **New here (`dcharb78`, with substantial AI assistance)**: the coupled `B + restore` dying-helper carrier folds (`B_586_438` and `B_588_440`) and `helper_final` lowerings on `586` and `588`, the single-move negative controls and 91-helper causal exhaustion proofs, the repacked `T74_optimal_idle39` allocation (`allocation/FILL.json.gz`), the 21-control per-word edit review and 100-control four-stage replay, and the complete fresh-native admission and release receipts. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/NOTICE b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/NOTICE new file mode 100644 index 0000000000..46411b80b2 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/NOTICE @@ -0,0 +1,10 @@ +Anticipatory dirty borrowing: PR2226 (Cinna Davis / 1337isnot1337, with substantial OpenAI Codex assistance) is credited first. Its alias rule, changed-reference K_G handoffs, initial compensation and exact free-operator replay (vendored under new/code/borrow/vendor, see new/code/borrow/NOTICE-PR2226.md) are applied here to the T74 pivot-566+554 words; the native lowering, window-exact owner fill and independent audit of the borrow words are new in this package. Bootstrap carried-cutoff repair: PR1956 (Josie Elliston); Lemma G label/adapter checks and X/Y/Z mutants: PR1964 (thakrarsagar), extended here with borrow warp/zero-buffer controls. + +New research prepared by Rohan Arun with substantial OpenAI Codex assistance. Apache-2.0. Parent words and build recipe method derive from Jeremy Kothe PR1274 and Rohan Arun PR1218, with lineage credited in README.md. All inherited mathematical qualifications are retained. +Additional pivot555 and567 composition by Rohan Arun with substantial OpenAI Codex assistance. + +T74 exact-fill owner construction by Rohan Arun with substantial OpenAI Codex assistance. + +PR1377 grid refinement credited to Jeremy Kothe. Outer witness refinement by Rohan Arun with OpenAI Codex assistance; construction unchanged. + +Pivot-566 kernel, words, edits, rebuild.py and rebind.py: PR1625 (mdumitrean). Endpoint/outer-witness stacking, fine_cache.py and oracle stage by jeremykothe2 with oh-my-pi assistance. diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/README.md b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/README.md new file mode 100644 index 0000000000..8809665c16 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/README.md @@ -0,0 +1,48 @@ +# Swapped helper labels for lenders 80 and 88 on #2530's source-partner words, with an evacuated owner fill: kappa 0.0017142520392602451425... + +**Credit first: this construction is PR2530's (zxv).** Our change is the swap of two helper labels (see below). PR2530 adds eight dirty aliases to the PR2462 supplier by restoring the second member of a retired source pair before the first member's handoff: 656 borrows 49, 657 borrows 83, 658 borrows 98, 660 borrows 101, 632 borrows 68, 596 borrows 80, 600 borrows 88, 633 borrows 31 (422 helpers per call, local profile {1:2367, 2:632, 3:318, 4:120, 5:26, 7:8}, width inventory {4:33, 5:9, 7:62, 8:78, 9:240}, all eight centres with 7+1 paths, twenty lifted targets (twelve on line 30, eight on line 45), a diagonal call order). Its words, order and dispatch are reproduced here exactly (`new/borrow/inputs/alias8_43base.json`, `alias8_43extra.json`, applied by `apply_lowfour` in `new/borrow/word_patch.py`; `new/borrow-fill/ORDER.json`, `DISPATCH.json`; its `independent_core.py` with the twenty-target pins). The aliases extend PR2436's (tekuuu) lifted-target mechanism on our PR2462 supplier, which rests on PR2322's handoff construction (Vlado Vojdanovski) and the PR2312 words. + +**What this package adds.** (0) The helper-label swap: the aliases of lenders 80 and 88 use registers 596 and 600 instead of 648 and 649 (same lenders and partners; `new/borrow/inputs/alias8_43*.json`); the local profile becomes {1:2367, 2:632, 3:318, 4:120, 5:26, 7:8}, with twenty lifted targets, so the checker pins in `independent_core.py` accept targets on lines 30 and 45 (twenty offsets). (1) An owner fill obtained by the evacuation method of PR2559 (philippeVV), run by Jeremy Kothe (jeremykothe2), with AI assistance on PR2530's owner map (`new/borrow-fill/FILL.json.gz`; words, order, windows and plan unchanged; `reconstruct.py` checks every window, bin, helper and family rule literally); leftover idle {1:22090, 3:6661, 5:422, 7:170, 14:1, 23:1, 32:77, 48:26489}. (2) Hardening stages in `new/rebuild_borrow.py`: the cut-centre guard of PR2478 (mdumitrean; log line `CUT-CENTRE-GUARD`) and the helper-index guard of PR2508 (ywz65; log line `HELPER-INDEX-GUARD`), each with a negative control. (3) Portability and determinism, after philippeVV's audit of PR2474 and with the fixes of PR2559: every generated artifact and every pinned artifact hash is LF-only (the package has `.gitattributes` `* -text`); `outer/run_outer.py` compares regenerated artifacts line-ending-insensitively; verification writes its receipts to its work directory and never into the package; the alias controls re-derive the inverse cleanup so each is rejected for its own reason; the four-alias control picks its warps by lender; the predecessor gates of `verify_release.py` are de-duplicated; `requirements.txt` declares the dependencies. (4) The private cleanup-buffer stock accounting (PR2309, PR2315; physical stock 66814 = 66304 + 422 + 8 + 78 + 2), the pooled-slot time binding (PR2301, PR1959) and the 3000-digit endpoints with the fixed-grid-maximum outer kappa C - 1/F - B (PR2180 / PR2161). + +Conditional final kappa = **0.0017142520392602451425351562259099656664344954373283308057225381981747562918061584999947561271124347686149558922108259494962534008930178575454133344862965601444172448331817152909766535112350708396928034441496871589713722575642506593412194794093575215326475625862439862175485535192485846059948632157105700869610795316500696247041824549885043526850412669441427740223730510517106191036541515810277226760681285811597004525917025031294007539732680314931686823171332211823282945239145205539721434651612050340581904232072561787095451293647899747540565463039808817184375271124592995766320237487820150010351277952099669162323267814619484819200315019911819091959999102657515505743819070010860672786565869109554832488031261334627499859493067849719077384885683033508260673984426700487660141214070225024894125232965845799661985539549847752461342172075646358338997453999288053000870497362760554381696697559133522856331801156646764525400539905340083758377929219827625380610057781487820821153448475385456799775382491514332736278655517522245329247263904596950776220980841805647952361535073719003157669640166693563466336815584519569810166511233264775205298632073076591451322372399999932369033904582035223410891524967205366234071383787219133164546315393239183818212307692995348435520398110005153430241887453343698646683271418734060091347040390456896142756143404386772216380704460366762755346337789906988466769974334711756339583937072621281296515518137951279458035968043755162367096330489177199370336093741395702690118092853200339791089791539032324817414888688781047182611324584582279916507607603683633460063962260109142936483039472011289743848580404445260351106444824458226423661897715297239393027939493242320955426198133601143645144070064073639933353974680604733068250031880911548549706199846207296069928696737309533371014168058754951811832295923513035374099881688243096526277292236890002388720709719158033023774073285846627771534726540103118668507295515605586205236016558176536393654414873191837922077367280957373153021556794154858562911961622539935196645728280666794496793070971823976465041173986748576532128413546720628060291475675470318602031900109561615265527973645747625798002311701903276616609332536708138849321371734306833508405333500117302670393361198251737269272732630795992200554211220244271419343563457390640311082668614170624080072295459234096049682185671202285453274140611688611730629671522699192434380356216674162550908702958080720859592831370976796243013789725750621736728357882717905941026190676496976765717982858759328564664729815198515864807758674700087456768561551484526092627733646122071138836057111007614820893117430832928217406368343840328483713773591907538062309195075401781133054022005465946906253474970706352348849924590842041842207238838697575396324108643421972631975393020597662234530109461046990303616133913438500827840442653674795648233352671879634300064195664716077491094816328554594096949401066084188934653885251272157233742246081515816462277045893076727873354607812239505000220820255049999999999999999999998999999999999999999999999** (outer ledger, `outer/LEDGER.json` = `outer/OUTER-CLAIM.json`). The supplier's own strict-assembly kappa, recorded in `CLAIM.json` and `new/SPEC.json`, is 0.001711318408189183238567634803852612133649203764204362745503672080619776106486572191668334734082751435613183681891222481732118949285152896368881040495996466848125361418227200950045816430141539899745292858221840805835015855397125859974861925333525692607592457008566441101526220829766285928855209658036383512142865001284768658263780772953428843403681498984703092097170600421221543230363718446032781045102899871233626939484996675727529843491071397689691781419922873988299275607670376233761218605670994915974806634915983210304256311112729899571033355638603532830740985974755977076897969524704105238564129742975803778495800189456408755958159326407898435251444019163374994723781080440677881855940056296588753772953472883036993100008970897193830947434274601704078470331570364235750170422733193306919509637962148069435479833702451936672633846523500161035201305318374263503150397037109340671972066134205098542634359749808761129715342302305124227540843747938485484866939484017860857927046359334460243182612686629726652706373266245758793766992586319848016319692088947829284177449819422518746529088158015069850821857971747533169878589792631790009356206753494971780095320985386853214032170709584615573543793478416739064020649849475577560803438547861454532992467093661021570865220333561079057646116472550384067654744508823093845729626864164994860524778232747549128836257062503768225874406175602944560823863665268054486635924525556631653454494748650985833323164669817772770489629285438568039453384586110108107665055183189771787494827961547246105428879592769186122426223173264400261170441730690311724870812873057789381315319274678586876870851639725399188914260595810044553569497317068360681117327648733662427568077965384609382057591721800529446684432533688097088863304520544557940635379705092348814240631478677296781365153853399415984130881035384829250105592874370848256834586059565235874427656214972902573671513061891347187307491246206765216914110069622555767877933142398407204316591092802373533308206033906259197016147357392906065434316852638740641608513998650768888166207688291423285977887067159452125526951871083024596737118996183295966719303923112424179010273653293374530994889552533668413518526904987155132933091198339148536199820449030096344715807613648677223687093438829554017220270598966424716340582609051995533737126271093910536149159499282161749442441995828745418637740931160553736130683061892170255785982532252466442956736614544978095733788213524391093013612849007323457397991255181957634658022400430493370137735777064701527079816796454068419332208420810083224053951726076899650081226254098921043235659462898466770930002718620929839852550885944264436224522912176561547067348695293220174489998882282006046903380231019074128292572937581643166744535477859139937771651119054310943884964191125621890772594893986578099379354751895600957899065518456063684021587793243261823681677842442772982717664096995178478040005750801709887712849532207767299471589330518585364794549109441748066863361239990727915123903. + +**Two kappa layers.** `CLAIM.json` (`kappa`, `kappa_decimal`) and `new/SPEC.json` hold the SUPPLIER-ONLY kappa, the strict supplier assembly under the older outer witness; it is not the headline and is below the baseline. The HEADLINE conditional kappa is the outer ledger kappa in `outer/OUTER-CLAIM.json` (= `outer/LEDGER.json`). `CLAIM.json` states this in `kappa_layers`. + +Comparison: exceeds PR2530 (kappa 0.0017137379215475043467519999..., exact value in its CLAIM.json) by 5.14118E-7 (exact difference 5.1411771274079578316E-7; exact gate in `verify_release.py`). + +**Entrance frames and hosting (answering the open question of PR2446).** The raised entrance frames reach the hosted helpers through the widths. (1) `new/rebuild_borrow.py`, stage `ENTRANCE-WIDTH-BINDING` (log line `ENTRANCE-WIDTH-BINDING base raised 24 bound True dim1 tamper rejected True`, and the same for extra): for each word, width = |helper_final| - |start_extra| of every remaining helper must equal the ordered widths of `new/BORROW-PROVIDERS.json`; a raised buffer with its start frame lowered to dimension 1 changes a width and is rejected. (2) `code/bind_providers_portable.py` re-derives the same widths from the native canonical word (|final| - |start|) and asserts they equal the plan registry widths. (3) `reconstruct.py` and `code/emit_allcold.py` use exactly those widths for every hosted role (`w == registry widths`), and `code/audit_allcold.py` rejects a wrong per-call residual width, a wrong provider width registry and an entering helper width silently restored to nine. A buffer delivered at dimension 1 would be width 8, not 7, and fails (1), (2) and the audit. **Scope of these stages:** the width stages bind dimensions only (|final| - |start_extra|); the frame contents of `start_extra` are established by the independent audit_local forward and dual replay of each word and by the native chain, which consume the same frames. + +**Private cleanup stock (charged as physical stock).** The borrowed words clear their private zero buffers at the end of each local program; these 78 buffers per call (`zero_buffers` of the canonical words) are private physical arrays outside the helper inventory, not paid rank. This package charges them exactly as PR2309 (Dugongue) does and as the audit PR2315 (thakrarsagar) requires: physical stock = data + helpers + 8 centres + 78 + 2 = 66830 (a disjoint private bank `zero_buffers` in `private_namespace`), a FULL-frame CLEAR on every allocation and release (156 extra scalar macros and 312 extra real primitives per orientation), a monomial routing reserve for the 84 warp events per orientation and the 78 buffers in the local adapter bound (355712), with the matching identities in `code/emit_allcold.py`, `code/invoice_allcold.py`, `code/audit_allcold.py`, `code/assemble.py` and `independent_core.py`, and two new controls in `code/audit_allcold.py` (`omit private zero buffers`, `private buffer aliases data`). The profile and kappa are unchanged by this accounting (it only adds guards; stock bits 2644, row coefficient 19545 < 20161). `evidence/INDEPENDENT.json` is regenerated for this fill (291708 roles, 438 helpers per call). + +**Pooled-slot time binding.** `code/audit_allcold.py` now binds all eleven fields of each pooled slot of `OWNERS.json.gz`, including `time`, to the base-derived call owners, with tamper controls (equal-width slots exchanging times; a shifted time). The gap was found by PR1959 (Josie Elliston) and executed by PR2301 (navinor / Aaron Wang); our owners satisfy it exactly. + +**Precision of this package** (`new/SPEC.json:outer_refinement`, `CLAIM.json:outer_refinement`): endpoint_digits 3000 (the native and conservative complex endpoints are certified to 1e-3000: accept at the endpoint, reject at endpoint + 1e-3000, by finer-constant copies of both fine engines (`code/fine_mercator.py`, `code/fine_moment.py`) in directed-rounding integer fixed point, floor for lower and ceiling for upper bounds), grid_digits 2995 (the final kappa grid), margin_digits 3005, bootstrap_steps 1116; kappa decimals are printed with 3120 significant digits. Every free slack of the ledger is the fixed-grid-maximum point of PR2180 / PR2161 (dataisfire) at this package's own endpoint: r0, layout slack, q gap and endpoint gap 1e-3080, epsilon = 1 - (1025/1024) 1e-3080, beta = 1 - 3 (1025/1024) 1e-3080, zeta 1e-3082, stop 1e-3086, backoff 1e-3022, kappa floor grid 1e-3046. With C the certified complex endpoint, F the floor denominator and B the backoff, the ledger kappa is exactly C - 1/F - B, the maximum of the declared floor-grid/backoff family (every point has epsilon q < C and C F is an integer, so floor(F epsilon q)/F <= C - 1/F; attained since 0 < C - epsilon q < 1/F, checked exactly; `outer/PROOF-GRID-MAX.md`). The main-binding family condition (Gaussian saving minus main saving = delta (1 - 2q) > 0) is an explicit 63rd strict row `gaussian_above_main`; the 62 earlier strict inequalities and all 17 rejecting controls are retained. The single 3000-digit rejection moment of the strict assembly uses the exact-integer coarse exponential of PR2168 (dataisfire; derivation as PR2184): `code/exact_coarse.py`, `EXACT-ARITHMETIC-DERIVATION.json`, intervals identical to the retained engine. Margins are asymptotic: the all-size statements still need p beyond an astronomically large cutoff. + +`new/CHAIN.json` lists every kernel step; `new/rebuild_chain.py` re-verifies each step against its own base words (exact B + early-cleanup map over all rows, remaining cleanup, interfaces). Pivot reads: every inserted read of the pivot q must see the row of q equal to s*I with s = +1 or -1 (`new/pivotcheck.py`); a pivot restored by a sign-flipping cleanup gate is read with that sign. Tamper controls (signs unaccounted; each new coefficient moved one dyadic step) must all fail the map check. + +Repairs retained: the PR1956 carried bootstrap cutoffs (every stage cutoff carries the previous constant; exact check at proof time, with the control that the uncarried cutoffs fail) and the PR1964 Lemma G extended-label stage `lemmag-labels` with the X/Y/Z adapter mutants. + +Credits: PR2530 (zxv): the eight source-partner aliases, the order, the words and the starting owner map (new/borrow/inputs/alias8_43*.json, new/borrow-fill/ORDER.json, DISPATCH.json, independent_core.py). PR2559 (philippeVV): the owner-fill evacuation method, and the portability fixes (line endings, receipts outside the package, re-derived controls, dependency declaration) reused here; philippeVV's audit of PR2474. Jeremy Kothe (jeremykothe2), with AI assistance: running the evacuation on PR2530's owner map (new/borrow-fill/FILL.json.gz) and the integration. PR2436 (tekuuu): the lifted-target aliases and the A-phase prelude mechanism that PR2530 extends. PR2322 (Vlado Vojdanovski): the handoff construction; PR2435/PR2447/PR2462/PR2474/PR2526 and PR2312 (ours): the entrance raise, the supplier chain and the borrowed words. PR2478 (mdumitrean) and PR2508 (ywz65): the cut-centre and helper-index guards. PR2309 (Dugongue) and PR2315 (thakrarsagar): private-stock accounting; PR2301 (navinor / Aaron Wang) and PR1959 (Josie Elliston): pooled-slot time binding; PR2161 / PR2180 (dataisfire): fixed-grid maximum; PR2168 / PR2184: exact-integer coarse exponential. PR2226 (Cinna Davis / 1337isnot1337 with OpenAI Codex): anticipatory dirty borrowing. PR1786 (chafreaky / Chafik Boukhalfa): fine source-prime padding, its proof and checks, vendored under vendor/pr1786; Tim Trudgian: effective prime number theorem (arXiv:1401.2689). PR1673 (Vlado Vojdanovski, with AI assistance): capped phase-cell fusion outer construction, its proof and exact evidence, vendored under vendor/pr1673. PR1758 (IdeaOuter and contributors): fractional-shift gauge-free interiors, accretive shallow-circuit lemma, per-visit tag accounting. Jeremy Kothe and contributors (PR1731 ledger lineage, radix-union schedule), LeverRank (independent schedule simulation), Gohberg, Semencul, Kailath, Kung, Morf, Bitmead, Anderson, Pan (structured Toeplitz-like algorithms of the retained alternative), Francois Le Gall et al. and Chafik Boukhalfa (PR1699). Supplier: PR1625 (mdumitrean), PR1661 (midhatn), pivot-554 kernel (PR1672 lineage) and the PR1319/PR1297/PR1274/PR1286 lineage as in earlier packages. PR1956 (Josie Elliston: the bootstrap-cutoff carry finding and repair), PR1897 (M6LI), PR1876, PR1875 and PR1828 (rohanarun): the endpoint and slack refinements that this package exceeds; rohanarun also PR1319 and PR1297; chafreaky PR1786; Vlado Vojdanovski PR1673; mdumitrean PR1625; midhatn; philippeVV PR1519 (odd-term Mercator finding); Kothe and the existing lineage. PR1964 (thakrarsagar / Sagar Thakrar): Lemma G label and adapter-rule checks and the X/Y/Z adapter mutants (code/lemmag_checks.py), Lemma G by DreamingOfClouds (PR509 / PR516). PR2161 / PR2180 (dataisfire, OpenAI Codex-assisted): the fixed-grid maximum point and its proof, re-derived at this endpoint; PR2044 (Kothe) free-epsilon refinement they stack on; PR1786 (chafreaky / Chafik Boukhalfa) and PR1673 (Vlado Vojdanovski) ledger formulas. PR2168 / PR2184 (dataisfire): exact-integer coarse exponential and its one-site derivation. PR2309, PR2302 and PR2265 are the records exceeded. PR2286 (thakrarsagar) side-condition audit and philippeVV (PR1897 / PR2044 comments): the text defects (minimum-margin claim, xi aside, HALO K0^2 branch, p^10 umbrella, vacuous or-True guards, stale xi digits) corrected in outer/FINE-PADDING-COMPOSITION.md section 4, outer/check_ledger.py, outer/struct_check.py and outer/check_gaugefree.py. Jeremy Kothe (jeremykothe2), with AI assistance: change of the lender of alias 651 to 530 and dropping of alias 653, the exact owner fill for the new width inventory, the exact frame re-solve of both borrowed words and the exact kernel search and pricing, new work in this package (new/borrow/inputs/refit_43*.json, kernel_43*.json, new/borrow-fill/FILL.json.gz). PR1625 (mdumitrean): the helper-donor kernel shape reused here at pivots 518 and 506. PR2309 (Dugongue): concurrent independent work, a 44th dirty alias with owner repacking that also borrows from lender 530; the leader this package exceeds. PR2301 (navinor / Aaron Wang) and PR1959 (Josie Elliston): the unbound pooled-slot time field, bound in code/audit_allcold.py here. PR2315 (thakrarsagar): the audit finding that the private cleanup buffers must be charged. PR2309 (Dugongue): the private-stock accounting (physical stock, CLEAR charges, warp routing reserve, adapter bound, controls) ported here. + +## Lineage and construction notes (text of earlier packages; their kappa and precision figures are superseded by the section above and were removed) + +Adds the exact helper-donor kernel k554-signed-001 (pivot 554, found by LeverRank/kernel566) to the previous record's local words: re-solved frames, fresh natives, PLAN rebound, SPEC refrozen, certified fine endpoints and exact outer witness of the base package. + +Credits: pivot-554 helper-donor kernel generalising PR1625 (kernel566.py; sign-aware pivot-read check pivotcheck.py). PR1625 (mdumitrean): pivot-566 helper-donor kernel, words, edits, rebuild.py, rebind.py. PR1319, PR1297, PR1424, PR1485, PR1574 (rohanarun); PR1274, PR1378... (see README) and the 1e-200/1e-300/1e-400 refinement PR1479, PR1510, PR1513, PR1536, PR1578 (jeremykothe2); PR1534, PR1549 (midhatn); PR1519 (philippeVV, fine Mercator engine soundness finding); PR1286, PR1193 (jeremydiviney), PR1148 (Thomas DiFiore) and the retained lineage. Research direction, prioritisation and release strategy: jeremykothe2. Implementation assistance: oh-my-pi. + +--- +# PR1625's pivot-566 helper-donor kernel on the T74 exact fill, with certified 1e-3000 endpoints and a 1e-2995 outer witness + +4. Stage `lemmag-labels` (beside the frame-only `local-replay`; `code/lemmag_stage.py` with `code/lemmag_checks.py`, vendored verbatim from PR1964 by thakrarsagar / Sagar Thakrar; Lemma G by DreamingOfClouds, PR509 / PR516): runs the Lemma G extended-label check (`label_check`, strict and permissive readings) and the adapter rule (`adapter_rule`) on each provider's emitted LOCAL-PROGRAMS in both orientations, asserting 0 violations, and requires the three physically wrong adapter mutants that the frame-only replay accepts (X exit straddle, Y entry straddle, Z exit adapters moved before a phase-B add) to be REJECTED on every provider. + +The top-level PLAN.json/SPEC.json are the unchanged PR1424/PR1319 files used by the owner reconstruction and parent lift checks; the strict stage uses `new/`. All 47 strict outer inequalities, the rejection controls and next-grid rejection hold (checked offline with the package's own outer witness and engine). The remaining gap to the exact root is the 1e-3000 endpoint bracket; the displayed digits are set by the 1e-2995 grid. + +The three witness settings are frozen in `SPEC.json:outer_refinement`: 12 bootstrap iterations, eta = beta = 10^-40 with target backoff 10^-43, and a 10^-36 final κ grid. The inherited complex and bit endpoint grids and their native/surcharge models remain unchanged. Every bootstrap cutoff is recomputed from the exact gap. The next final κ grid point rejects for this witness. No optimality over all outer parameters is claimed. + +The recurrence is a_(j+1) = (1-s)s + s a_j. Its closed form is a_j = s - (s-a_0)s^j; 0 < a_0 < s < 1 gives a finite increasing chain below s. This only changes witnesses to the inherited conditional bootstrap and outer lemmas, whose assumptions remain in force. Root endpoints, arithmetic engines and finite construction are inherited unchanged. + +Reproduce complete admission with `python3 -B verify.py --work /absolute/new/work --base-native-from /bound/base/native --extra-native-from /bound/extra/native`, or omit the two reuse flags for fresh native supplier runs. The output directory must not exist and assertions must be enabled. `evidence/OUTER-DISCOVERY.json` is discovery evidence, not a completed new-package replay. `evidence/pr1377/` contains predecessor receipts; inherited `PRICE.json` and input/parent receipts are not new verification. + +Conditional finite construction only. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape, exact recovery, analytic transfer, PR559 recurrence correction and PR589 bit H1-H5 assumptions remain. No unconditional theorem, full Lean certification, or global packing claim. + +Credit Rohan Arun PR1319 (74-replica exact fill) and PR1297 (four cold kernels); Jeremy Kothe PR1377 (finer final grid), PR1019 and PR1274; Jeremy Diviney PR1193; Thomas DiFiore PR1148; Hao Yan and retained owner/controller lineage; eumemic and icekylinx/Zhihao Chen for the exact outer assembly; the PR547/548/559 recurrence and PR589 bit suppliers. Prepared by Rohan Arun with substantial OpenAI Codex assistance. Apache-2.0; predecessor notices and bytes are retained. No independent human or proof-assistant verification is claimed. diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/NOTICE-PR2226.md b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/NOTICE-PR2226.md new file mode 100644 index 0000000000..a14b299ef5 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/NOTICE-PR2226.md @@ -0,0 +1,21 @@ +# Credit: anticipatory dirty borrowing (PR2226) + +The construction realised by this native chain is **PR2226, "anticipatory dirty borrowing"**, by Cinna Davis +(@1337isnot1337), prepared with substantial OpenAI Codex assistance (Apache-2.0): the logical reference change +K_G of a lender register (a monomial Clifford: a permutation of the 512 columns with phase mod 4), the initial +compensation terms c K_G z, the early cold tail, the exact cold restoration and the private zero buffers of the +FULL-frame cleanup. `vendor/pr2226_operators.py`, `vendor/pr2226_replay.py` and `vendor/PR2226-NOTICE.md` are byte copies +of PR2226's `operators.py`, `replay.py` and `NOTICE.md`. `bw_gauss.py` is a port of `operators.py` (change, monomial, +apply_mono, coord, frame, check) and adds a decoder from a serialized `clifford_exact` monomial to its exact 512 x 512 +Gaussian matrix. + +What this chain adds (the P3 native realisation, with the borrowing work's explicit chronological BORROW-WORD as input): +warp events and zero buffers in `LOCAL-PROGRAMS`, warp recipes in `CLIFFORD-RECIPES.json` (lowered with the unchanged +`lower_child`, rank zero, then compared with the exact numpy column product), logical K_G recipes in +`RESIDUAL-ADAPTERS.json`, an independent local replay in both orientations that checks every warp product on all 512 +columns, and the negative controls listed in `INDEPENDENT-LOCAL-REPLAY.json`, `WRAPPER-CHECKS.json`, `WARP-RECIPE-CHECKS.json` +and `bw_tamper.py`. + +Lineage retained: icekylinx (PR425/433/514, scalar and wrapper machinery), DreamingOfClouds (PR458/484/593 hyperplane/cold-HPE +extensions), the clifford_exact compiler (vendor531), and the owners named in the package README. `vendor/clifford/clifford_exact.py` +is a byte copy. diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py new file mode 100644 index 0000000000..82beaa9c1d --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_adapters.py @@ -0,0 +1,165 @@ +"""Paid residual wrappers for entering helpers (Lemma A): generation and independent decoding. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. The wrapper construction follows PR #458 +(chafreaky): a helper that starts at frame E and ends at FULL has the physical residual S_E = T_FULL T_E^-1 (apply T_E^-1 first); +S_E = L_E (C_[w] x I) R_E with R_E applied first; the wrappers R_E^-1 before the whole local invocation and L_E^-1 after its +full-frame cleanup turn the residual into the coordinate factor C_[w] x I and restore the other 9 - w coordinates identically. +usage: adapters_gk.py CANONICAL-WORD.json.gz RESIDUAL-ADAPTERS.json OUT-LEMMA-A.json +Writes the recipes (generation uses clifford_exact.lower_child) and then DECODES the serialized monomials with the primitive +constructors of clifford_exact (not lower_child) and checks, for every entrance frame, that L_E^-1 S_E R_E^-1 has exactly the +tableau and zero-state vector (global phase included) of fourier(9, range(w)); mutated recipes (wrong phase, swapped sides, wrong +translation, wrong width) must be rejected.""" +if not __debug__: + raise RuntimeError('assertions must remain enabled') # every check of this stage is an assert +import copy, gzip, json, sys +from pathlib import Path +# Package-path adaptation only; the exact wrapper mathematics is unchanged. +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE / 'vendor/clifford')) # BW: the pinned vendor531 clifford_exact (byte copy) +sys.path.insert(0, str(HERE)) +from clifford_exact import canonical_frame, lower_child, fourier, diag, perm, xgate, Op, identity, transpose, inv, parity, monomial as mono_of, mv +import bw_gauss +n = 9; FULL = tuple(1 << i for i in range(n)) +def monomial_op(rec): + """decode a serialized monomial (matrix rows, quadratic rows, Z4 linear part, translation, phase)""" + out = diag(n, tuple(rec['quadratic_rows']), tuple(rec['linear_Z4'])).then(perm(n, tuple(rec['matrix_rows']))).then(xgate(n, rec['offset'])) + return out.then(Op(n, identity(n), [('phase', rec['phase'])])) +def S_of(U, END=FULL): + # HPE: a helper that starts at E=U and ends at END has residual T_END T_E^-1 (END = FULL is the inherited case) + return canonical_frame(n, tuple(U)).adjoint().then(canonical_frame(n, tuple(END))) +def wrapped_ok(U, rec, END=FULL): + """exactly: L^-1 S R^-1 = C_[w] x I (apply order: R^-1, S, L^-1), w = dim END - dim E""" + w = len(END) - len(U); S = S_of(U, END); Rm = monomial_op(rec['right']); Lm = monomial_op(rec['left']) + net = Rm.adjoint().then(S).then(Lm.adjoint()); target = fourier(n, range(w)) + return rec['rank'] == w and net.tab == target.tab and net.zero_state() == target.zero_state() +def _contains(a, b): + a = list(a) + for x in b: + for y in sorted(a, reverse=True): + if x >> (y.bit_length() - 1) & 1: x ^= y + if x: return False + return True +def Kop(G_cols): + """BW: K_G = perm(G) then diag(Q), Q = I + G^-T G^-1: PR2226's monomial() and the conjugator inside clifford_exact.canonical_frame.""" + G = transpose(tuple(G_cols), n); gi = inv(G, n) + Q = tuple((1 << i) ^ sum(parity(gi_i & gi_j) << j for j, gi_j in enumerate(transpose(gi, n))) for i, gi_i in enumerate(transpose(gi, n))) + return perm(n, G).then(diag(n, Q)) +def numeric_K(G_cols): + import numpy as np + pv, ph = bw_gauss.monomial(list(G_cols), n) + N = 1 << n; re = np.zeros((N, N), dtype=np.int64); im = np.zeros((N, N), dtype=np.int64) + unit = [(1, 0), (0, 1), (-1, 0), (0, -1)] + for x in range(N): re[pv[x], x], im[pv[x], x] = unit[ph[x]] + return re, im, 0 +def warp_ok(G_cols, rec): + """BW: the serialized monomial equals PR2226's exact numpy K_G on all 512 columns (indep. decode) and its op decodes to K_G exactly.""" + m = bw_gauss.recipe_matrix(rec, n) + if not bw_gauss.equal_scaled(numeric_K(G_cols), m): return False + dec = monomial_op(rec); ref = Kop(G_cols) + return dec.tab == ref.tab and dec.zero_state() == ref.zero_state() + +def main(): + c = json.load(gzip.open(sys.argv[1])); frames = c['frames']; v = c['v'] + starts = sorted({c['start'][r] for r in range(2 * v, len(c['start'])) if c['start'][r] != 0 and c['final'][r] == 1}) + # HPE: (entrance, terminal) pairs of helpers ending at a proper subspace; key 'E:U'. Inherited words have none. + ends = sorted({(c['start'][r], c['final'][r]) for r in range(2 * v, len(c['start'])) if c['final'][r] != 1}) + # COLD-HPE: e == 0 (a cold helper, entrance = bottom, T_0 = I) is allowed: the (0, U) recipe is keyed '0:U' + assert all(len(frames[u]) < n and _contains(frames[u], frames[e]) for e, u in ends) + cold_ends = [(e, u) for e, u in ends if e == 0] + recipes = {} + for f in starts: + U = frames[f]; rec, compiled = lower_child(S_of(U)) + recipes[str(f)] = dict(frame=f, vectors=list(U), entrance_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right']) + for e, u in ends: + E, U = frames[e], frames[u]; rec, compiled = lower_child(S_of(E, U)) + recipes['%d:%d' % (e, u)] = dict(frame=e, terminal=u, vectors=list(E), terminal_vectors=list(U), entrance_rank=len(E), + terminal_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right']) + # BW: monomial recipes of the warps K_G (anticipatory dirty borrowing, PR2226): one per operator, serialized like a wrapper monomial + warp_recipes = {} + for w in c.get('warps', []): + _, rec_k = mono_of(Kop(w['G_columns'])) + warp_recipes[str(w['op'])] = dict(op=w['op'], from_frame=w['from_frame'], to_frame=w['to_frame'], G_columns=list(w['G_columns']), K=rec_k) + Path(sys.argv[2]).write_text(json.dumps(dict(status='RESIDUAL_ADAPTER_RECIPES', recipes=recipes, warps=warp_recipes), sort_keys=True, separators=(',', ':')) + '\n') + # ---- independent decode of the serialized file + data_all = json.loads(Path(sys.argv[2]).read_text()); data = data_all['recipes'] + dot = lambda a, b: bin(a & b).count('1') & 1 + detail = [] + for f in starts: + rec = data[str(f)]; U = frames[f] + assert wrapped_ok(U, rec), ('wrapper product is not C_[w] x I', f) + detail.append(dict(frame=f, entrance_rank=len(U), residual_width=n - len(U), vectors=list(U), all_even_weight=all(bin(x).count('1') % 2 == 0 for x in U), + totally_isotropic=all(dot(a, b) == 0 for a in U for b in U))) + hdetail = [] + for e, u in ends: # HPE: independent decode, residual width = dim U - dim E + rec = data['%d:%d' % (e, u)]; E, U = frames[e], frames[u] + assert wrapped_ok(E, rec, U), ('HPE wrapper product is not C_[w] x I', e, u) + hdetail.append(dict(frame=e, terminal=u, entrance_rank=len(E), terminal_rank=len(U), residual_width=len(U) - len(E))) + controls = [] + def reject(name, fn): + f = starts[0]; rec = copy.deepcopy(data[str(f)]); fn(rec) + if wrapped_ok(frames[f], rec): raise AssertionError('mutated wrapper accepted: ' + name) + controls.append(name) + reject('wrong global phase', lambda r: r['right'].__setitem__('phase', (r['right']['phase'] + 1) % 4)) + reject('wrong translation', lambda r: r['left'].__setitem__('offset', r['left']['offset'] ^ 1)) + reject('wrong quadratic form', lambda r: r['right'].__setitem__('quadratic_rows', [x ^ 2 if i == 0 else x for i, x in enumerate(r['right']['quadratic_rows'])]) if False else r['right']['linear_Z4'].__setitem__(0, (r['right']['linear_Z4'][0] + 2) % 4)) + reject('sides swapped', lambda r: (r.__setitem__('left', r['right']), r.__setitem__('right', r['left']))) + reject('wrong width', lambda r: r.__setitem__('rank', r['rank'] + 1)) + if ends: # HPE controls on the first (E, U) pair + e, u = next((p for p in ends if p[0] != 0), ends[0]); rec0 = data['%d:%d' % (e, u)] # COLD-HPE: an entering pair if any (= ends[0] without cold ends) + def hreject(name, ok): + if ok: raise AssertionError('HPE mutation accepted: ' + name) + controls.append(name) + hreject('hpe: U-wrapper decoded against a FULL ending', wrapped_ok(frames[e], rec0)) + hreject('hpe: width misreported as 9 - dim E', wrapped_ok(frames[e], dict(rec0, rank=n - len(frames[e])), frames[u])) + other = next(f for f in range(len(frames)) if f != u and len(frames[f]) == len(frames[u]) and _contains(frames[f], frames[e])) + hreject('hpe: wrong terminal hyperplane', wrapped_ok(frames[e], rec0, frames[other])) + fe = next(((e2, u2) for e2, u2 in ends if str(e2) in data), None) + if fe: # an entrance shared with FULL-ended helpers: R_{E,FULL} must not serve as R_{E,U} + r2 = data['%d:%d' % fe] + hreject('hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}', wrapped_ok(frames[fe[0]], dict(r2, right=data[str(fe[0])]['right']), frames[fe[1]])) + hreject('hpe: wrong global phase', wrapped_ok(frames[e], dict(rec0, left=dict(rec0['left'], phase=(rec0['left']['phase'] + 1) % 4)), frames[u])) + if cold_ends: # COLD-HPE controls on the first cold pair (0, U): factor_iff_pre says only R_{0,U} itself may precede + e, u = cold_ends[0]; recc = data['%d:%d' % (e, u)]; E, U = frames[e], frames[u] + ID = dict(matrix_rows=[1 << i for i in range(n)], offset=0, quadratic_rows=[0] * n, linear_Z4=[0] * n, phase=0) + assert monomial_op(ID).tab == identity(n) # the control's wrapper really is the identity + def creject(name, ok): + if ok: raise AssertionError('cold HPE mutation accepted: ' + name) + controls.append(name) + creject('cold hpe: identity pre wrapper instead of R_{0,U}', wrapped_ok(E, dict(recc, right=ID), U)) + creject('cold hpe: identity post wrapper instead of L_{0,U}', wrapped_ok(E, dict(recc, left=ID), U)) + creject('cold hpe: no wrappers (cold FULL convention L = R = I)', wrapped_ok(E, dict(recc, left=ID, right=ID), U)) + creject('cold hpe: U-wrapper decoded against a FULL ending', wrapped_ok(E, recc)) + creject('cold hpe: width misreported as 9', wrapped_ok(E, dict(recc, rank=n), U)) + other = next(f for f in range(len(frames)) if f != u and len(frames[f]) == len(frames[u])) + creject('cold hpe: wrong terminal hyperplane', wrapped_ok(E, recc, frames[other])) + creject('cold hpe: wrong global phase', wrapped_ok(E, dict(recc, right=dict(recc['right'], phase=(recc['right']['phase'] + 1) % 4)), U)) + ent = next((p for p in ends if p[0] != 0 and p[1] == u), None) + same = lambda x, y: monomial_op(x).tab == monomial_op(y).tab and monomial_op(x).zero_state() == monomial_op(y).zero_state() + if ent and not same(data['%d:%d' % ent]['right'], recc['right']): # an entering helper ending at the same U: its R_{E,U} must not serve as R_{0,U} + creject('cold hpe: pre wrapper resolved to an entering recipe R_{E,U}', wrapped_ok(E, dict(recc, right=data['%d:%d' % ent]['right']), U)) + wdetail = [] + for w in c.get('warps', []): # BW: independent decode of every warp recipe, then mutation controls on the first warp + rec = data_all['warps'][str(w['op'])] + assert rec['G_columns'] == w['G_columns'] + assert warp_ok(w['G_columns'], rec['K']), ('warp recipe differs from the exact monomial K_G', w['op']) + wdetail.append(dict(op=w['op'], from_frame=w['from_frame'], to_frame=w['to_frame'], columns_checked=1 << n)) + if c.get('warps'): + w0 = c['warps'][0]; k0 = data_all['warps'][str(w0['op'])]['K'] + def wreject(name, ok): + if ok: raise AssertionError('warp mutation accepted: ' + name) + controls.append(name) + wreject('warp: wrong global phase', warp_ok(w0['G_columns'], dict(k0, phase=(k0['phase'] + 1) % 4))) + wreject('warp: wrong translation', warp_ok(w0['G_columns'], dict(k0, offset=k0['offset'] ^ 1))) + wreject('warp: wrong linear phase', warp_ok(w0['G_columns'], dict(k0, linear_Z4=[(k0['linear_Z4'][0] + 2) % 4] + k0['linear_Z4'][1:]))) + wreject('warp: wrong quadratic form', warp_ok(w0['G_columns'], dict(k0, quadratic_rows=[k0['quadratic_rows'][0] ^ 2, k0['quadratic_rows'][1] ^ 1] + k0['quadratic_rows'][2:]))) + wreject('warp: recipe of another operator', warp_ok(w0['G_columns'], data_all['warps'][str(c['warps'][1]['op'])]['K'])) + wreject('warp: inverse recipe used as the warp', warp_ok(w0['G_columns'], mono_of(Kop(w0['G_columns']).adjoint())[1])) + G2 = list(w0['G_columns']); G2[0] ^= G2[1] + wreject('warp: wrong G (frame-changed column)', warp_ok(G2, k0)) + sing = list(w0['G_columns']); sing[1] = sing[0] + try: Kop(sing); raise SystemExit('non-invertible G accepted') + except (AssertionError, StopIteration, ValueError): controls.append('warp: non-invertible G') + res = dict(status='PASS_RESIDUAL_WRAPPERS_ARE_EXACT', frames=len(detail), **({'hyperplane_end_pairs': hdetail} if ends else {}), **({'cold_hyperplane_end_pairs': len(cold_ends)} if cold_ends else {}), wrappers_reject=controls, all_even_weight=all(d['all_even_weight'] for d in detail), **({'warp_recipes_exact_on_all_512_columns': wdetail} if wdetail else {}), + all_totally_isotropic=all(d['totally_isotropic'] for d in detail), detail=detail) + Path(sys.argv[3]).write_text(json.dumps(res, indent=1) + '\n') + print('Lemma A (exact): L^-1 S_E R^-1 = C_[w] x I for', len(detail), 'entrance frames, global phase included;', len(controls), 'wrapper mutations rejected; all-even-weight:', res['all_even_weight']) +if __name__ == '__main__': main() diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py new file mode 100644 index 0000000000..6db8ad50eb --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py @@ -0,0 +1,81 @@ +"""Independent recheck of the emitted warp recipes against the emitted programs (numpy only, no clifford_exact). + +Every warp event class (sign, operator, from frame, to frame) used by LOCAL-PROGRAMS in either orientation must have a recipe in +CLIFFORD-RECIPES.json whose serialized monomial equals, on all 512 columns exactly (global phase included), the product +T_to K_G^{+-1} T_from^-1 recomputed here from the canonical word's G and frames (port of PR2226's operators.py). The logical +K_G recipe of RESIDUAL-ADAPTERS.json must equal the exact K_G. Mutated recipes (phase, translation, quadratic form, wrong G, +inverse used for the forward warp, a missing class, swapped frames) must all be rejected. usage: bw_check_recipes.py OUT_DIR +""" +if not __debug__: + raise RuntimeError('assertions must remain enabled') # every check of this stage is an assert +import copy,gzip,hashlib,json,sys,time +from pathlib import Path +import numpy as np +sys.path.insert(0,str(Path(__file__).resolve().parent)) +import bw_gauss as g +OUT=Path(sys.argv[1]);t0=time.monotonic() +c=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz'));h=c['h'];frames=c['frames'] +progs=json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz')) +rec_all=json.loads((OUT/'CLIFFORD-RECIPES.json').read_text()) +res_all=json.loads((OUT/'RESIDUAL-ADAPTERS.json').read_text()) +G_of={w['op']:w['G_columns'] for w in c.get('warps',[])} +used=set() +for orientation in ('forward','backward'): + for e in progs[orientation]: + if e[0]=='warp':used.add((1 if e[2]>0 else -1,abs(e[2]),e[3],e[4])) +assert used==set(map(tuple,c.get('warp_edges',[]))),'emitted warp classes differ from the word' +by={(w['sign'],w['op'],w['old'],w['new']):w for w in rec_all.get('warps',[])} +assert set(by)==used,('recipe classes differ from the emitted warp classes',len(set(by)^used)) +def numeric_K(G): + pv,ph=g.monomial(list(G),h);N=1<0 and k[2]!=k[3]);w=by[key];sign,op,f0,f1=key;left=w['left'];Gx=G_of[op] + reject('recipe: wrong global phase',product_ok(*key,dict(left,phase=(left['phase']+1)%4))) + reject('recipe: wrong translation',product_ok(*key,dict(left,offset=left['offset']^1))) + reject('recipe: wrong linear phase',product_ok(*key,dict(left,linear_Z4=[(left['linear_Z4'][0]+2)%4]+left['linear_Z4'][1:]))) + reject('recipe: wrong quadratic form',product_ok(*key,dict(left,quadratic_rows=[left['quadratic_rows'][0]^2,left['quadratic_rows'][1]^1]+left['quadratic_rows'][2:]))) + reject('recipe: wrong matrix',product_ok(*key,dict(left,matrix_rows=[left['matrix_rows'][1],left['matrix_rows'][0]]+left['matrix_rows'][2:]))) + G2=list(Gx);G2[0]^=G2[1] + reject('recipe: wrong G (still invertible)',product_ok(*key,left,G=G2)) + sing=list(Gx);sing[1]=sing[0] + reject('recipe: non-invertible G',product_ok(*key,left,G=sing)) + reject('recipe: inverse warp recipe used for the forward warp',product_ok(sign,op,f0,f1,next(x for k,x in by.items() if k[0]==-sign and k[1]==op)['left']) if any(k[0]==-sign and k[1]==op for k in by) else False) + # frame mismatch: the recipe of this class used for a class with another frame + other=next((k for k in by if k!=key and k[0]==sign and k[1]!=op),None) + reject('recipe: recipe of another warp class',product_ok(*key,by[other]['left']) if other else False) + reject('recipe: swapped from/to frames',product_ok(sign,op,f1,f0,left)) + # a class missing from the recipe file + try: + miss=copy.copy(by);miss.pop(key);assert set(miss)==used + except AssertionError:controls.append('recipe: missing warp class') + else:raise AssertionError('missing class accepted') + reject('logical: wrong G',logical_ok(op,res_all['warps'][str(op)]['K'],G=G2)) + reject('logical: wrong phase',logical_ok(op,dict(res_all['warps'][str(op)]['K'],phase=(res_all['warps'][str(op)]['K']['phase']+1)%4))) +out=dict(status='PASS_WARP_RECIPES_EXACT_ON_ALL_512_COLUMNS',canonical_word_sha256=hashlib.sha256((OUT/'CANONICAL-WORD.json.gz').read_bytes()).hexdigest(), + recipe_sha256=hashlib.sha256((OUT/'CLIFFORD-RECIPES.json').read_bytes()).hexdigest(),warp_classes=len(by),operators=len(c.get('warps',[])), + columns_each=1<>i&1:out^=col + return out +def f2rank(xs): + b={} + for x in xs: + while x: + i=x.bit_length() + if i not in b:b[i]=x;break + x^=b[i] + return len(b) +def extend(xs,hh): + out=list(xs) + for i in range(hh): + if f2rank(out+[1<len(out):out.append(1<>i)&1)<>i&1)==(M[i]>>j&1) for i in range(hh) for j in range(hh)) + permv=np.array([lin(cols,x) for x in range(1<>i)&1)*(x>>i&1) for i in range(hh))+ + 2*sum(((M[j]>>i)&1)*(x>>i&1)*(x>>j&1) for i in range(hh) for j in range(i+1,hh)) + for x in permv],dtype=np.int64)%4 + return permv,phase +def apply_mono(z,recipe,sign=1): + re,im,exp=z;perm,phase=recipe;rr=np.empty_like(re);ii=np.empty_like(im) + if sign==1: + for p in range(4): + mask=phase==p;r=re[mask];i=im[mask] + if p==0:a,b=r,i + elif p==1:a,b=-i,r + elif p==2:a,b=-r,-i + else:a,b=i,-r + rr[perm[mask]]=a;ii[perm[mask]]=b + else: + r=re[perm];i=im[perm] + for p in range(4): + mask=phase==p + if p==0:a,b=r[mask],i[mask] + elif p==1:a,b=i[mask],-r[mask] + elif p==2:a,b=-r[mask],-i[mask] + else:a,b=-i[mask],r[mask] + rr[mask]=a;ii[mask]=b + return rr,ii,exp +def coord(z,axes,sign=1): + re,im,exp=z + for j in axes: + p=np.array([x for x in range(len(re)) if not(x>>j&1)]);q=p^(1<0 else -1);return frame(z,E,hh,1) +def recipe_matrix(rec,hh): + """Dense exact matrix (re, im, exp=0) of a serialized clifford_exact monomial (matrix_rows, quadratic_rows, linear_Z4, offset, phase): + |x> -> i^(qvalue(x)+phase) |G x ^ offset>, qvalue = sum alpha_i x_i + 2 sum_{i in x} parity((Q_i >> (i+1)) & (x >> (i+1))).""" + N=1<>i&1)+2*sum(((Q[i]>>(i+1))&(x>>(i+1))).bit_count()&1 for i in range(hh) if x>>i&1)+ph)%4 + re[y,x],im[y,x]=unit[q] + return re,im,0 +def equal_scaled(z,m): + """z (scaled by 2^exp) equals m (exp 0) entrywise exactly""" + re,im,exp=z;return bool(np.array_equal(re,m[0]<0 else K.adjoint() + op=ops[f0].adjoint().then(Ks).then(ops[f1]);rec,compiled=lower_child(op) + assert rec['rank']==0 and rec['right'] is None,('warp is not a monomial Clifford',sign,op_id,f0,f1) + Z=bw_gauss.warp_product(G,frames[f0],frames[f1],sign*op_id,n) + assert bw_gauss.equal_scaled(Z,bw_gauss.recipe_matrix(rec['left'],n)),('recipe differs from the exact column product',sign,op_id,f0,f1) + hist['warp']+=1;warps.append({'sign':sign,'op':op_id,'old':f0,'new':f1,'G_columns':G,**rec}) +raw=json.dumps({'children':recipes,'endpoint_adapters':adapters,'warps':warps},sort_keys=True,separators=(',',':')).encode() +(OUT/'CLIFFORD-RECIPES.json').write_bytes(raw) +result={'status':'PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES', + 'canonical_word_sha256':hashlib.sha256(P.read_bytes()).hexdigest(), + 'frames':len(frames),'directed_edges':len(edges),'ranks':{str(k):x for k,x in hist.items()}, + 'endpoint_adapters':len(adapters),'warp_recipes':len(warps),'warp_recipes_rank_zero':all(w['rank']==0 for w in warps), + 'warp_recipes_equal_exact_512_column_product':True, + 'all_child_equalities_include_global_phase':True, + 'recipe_sha256':hashlib.sha256(raw).hexdigest(),'seconds':time.monotonic()-start, + 'scope':'Every local frame, centre transition and warp. Expanded scalar-interface integration and global emitted program are separate obligations.'} +(OUT/'CLIFFORD-REVIEW.json').write_text(json.dumps(result,indent=2)+'\n') +print('PASS exact local phases',result['seconds'],'seconds',flush=True) diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/PR2226-NOTICE.md b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/PR2226-NOTICE.md new file mode 100644 index 0000000000..5ea70357a0 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/PR2226-NOTICE.md @@ -0,0 +1,22 @@ +# Attribution and license + +New construction, proof text and checkers: Cinna Davis (@1337isnot1337), with +substantial OpenAI Codex assistance, Apache-2.0. + +The selected complex canonical word is the PR1042 ancestry retained in PR1094. +Jeremy Kothe, Rohan Arun, Hao Yan, Chafik Boukhalfa, icekylinx, Jonathan Capalbo +and the source package's full provider/frame/controller lineage retain credit. +Ali Romman supplied the source-bound fixed-block theorem and certificate; +Thomas DiFiore supplied the earlier block discovery. The borrowing construction +does not attribute its changed interface to those predecessor results. + +`price_engine.py` is an unchanged copy of the incorporated +`research/complex-local-word-ceiling/ceiling.py`: Douglas Colkitt, with Claude +(Anthropic) assistance; original SPDX/license context and docstring retained. +General Clifford frame and exact Gaussian normal forms are inherited from +`notes/general-clifford-frames.tex` and the repository's credited phase/compiler +lineage. The package independently checks its actual local Gaussian products. + +Source hashes, base commits and the copied engine's Git blob are in SOURCES.json. +No full native supplier, all-size compiler, precision theorem or new kappa is +claimed. No independent human review is claimed. diff --git a/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/clifford/clifford_exact.py b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/clifford/clifford_exact.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/vendor/clifford/clifford_exact.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1< 20 * 32:[4,9,9,9] + 5 * 32:[8,8,8,8] + + 21 * 48:[9,9,9,9,9] + 9 * 48:[] +``` + +Move the twenty width-4 roles into twenty donor bins. Move the twenty width-8 +roles into five other donor bins, releasing fifteen width-9 roles. Repack those +fifteen and the ninety width-9 roles in the old 48-bins into twenty-one groups +of five. Nine 48-bins become empty. `construct.py` chooses concrete legal bins +deterministically; `EXCHANGE.json` binds every changed row to its exact preimage. + +The exchange changes 145 roles in 55 bins and touches 123 calls. The idle-count +delta is `{1:+20, 3:+21, 5:-25, 39:-10, 48:+9}`. The capacity multiset and each +helper width are preserved. The unchanged full owner checker checks all +**2,717,280** rows, including unchanged bins and calls. Chronological source +availability, compact prefixes, non-overlap and same-call physical-family +exclusion are required; the aggregate identity alone would not suffice. + +## Complete bill and cap + +There are 740 replicas, 6,660 invocations and 408 helpers per invocation. + +| Component | Exact rank counts | +|---|---| +| Local, per invocation | `{1:2433, 2:724, 3:228, 4:102, 5:20, 8:8}` | +| Idle, all replicas | `{1:173160, 3:48951, 5:13875, 48:282569}` | +| Total | `{1:16376940, 2:4821840, 3:1567431, 4:679320, 5:147075, 8:53280, 48:282569}` | + +The total equals 6,660 local bills plus the idle bill, with rank mass +`65088 * 740`. Both literal words derive the ordered helper inventory +`{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}`. The exact forward and dual operator +audit checks 632 independent inputs for each word, frames, restoration and +literal inverse cleanup. + +`cap_check.py` adapts Petalas's exact rational dual proof to this inventory and +local bill. It enumerates all 2,551 patterns and proves strictly positive +reduced cost for 2,539 throughout the root bracket; the same twelve patterns +are tight. The feasible primal basis is PR3133's retained `RELAX-CAP.json`. +Our idle bill is exactly 740 times that basis's idle bill, so the attained +moment and fractional cap are identical, rather than merely close numerically. + +The tight-pattern residue identity now reads +`20 * N_(48:[9,9,9,9,9]) = 1323 * T`. Since `gcd(1323,20)=1`, any cap-attaining +integral packing requires `20 | T`. The first multiple of the retained T74 +chronology satisfying this is 740. This is not a proof that every possible +chronology needs 740 replicas. + +All **91** private cleanup buffers are charged. Physical stock is +`896*740 + 408 + 8 + 91 + 2 = 663549`, compared with PR3133's 66,813. +The larger fixed stock is a material cost of this small exponent improvement. +The complete strict replay rebuilt the actual prefix and outer invoice: the +prefix requirement is 1,479 bits, within the paid 2,048-bit payload. + +## Reproduction and evidence + +The bounded checks use Python 3.12 and its standard library: + +```sh +python3 -B scripts/research_package.py --package research/coupled-carrier-cap740 +``` + +`verify.py` checks the words, all owners, complete moment, exact cap, and stored +release bindings. `test_allocation.py` checks regeneration and semantic failures +(stale or duplicate edits, lost moves, unavailable windows, overlaps, physical +family collisions, unpaid prefix holes and invalid cap data). `test_bindings.py` +checks recipe substitution, stale input rejection, compression portability and +refusal of disabled assertions. Stored receipt validation is not a fresh native +or outer replay. Regenerated fills are compared by their full decoded payload; +immutable source containers retain exact byte hashes. + +For a complete replay, fetch the pinned Git objects in `FETCH.txt`, install +`requirements-full.txt` in a Python 3.12 virtual environment, then use a fresh +output directory: + +```sh +nice -n 15 ionice -c 3 env OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 \ + python3 -B research/coupled-carrier-cap740/reproduce.py \ + --repo . --work /tmp/coupled-cap740-new --jobs 2 +``` + +The default bootstraps the retained parent fresh. An explicit `--retained PATH` +reuses the predecessor's authenticated parent/native cache, while rebuilding +both current providers. `--dry-run` exports exact sources, materializes every +row and checks the recipe; it does not claim a release. The full controller +changes exactly `--fill`, `--order`, and `--dispatch` in PR3133's final admission +command. All scientific source stages remain unchanged. + +The recorded full run uses an authenticated retained cache. All eleven source +stages passed in 30.1 minutes with two low-priority single-thread audit +workers. Both current native providers were rebuilt; two retained native +providers and the retained parent were reused explicitly. A full fresh retained +bootstrap was not rerun in this session. Exact logs, raw receipts and scope are +in `evidence/`; `RUN.json` records the executed command. The public exporter, +materializer and recipe dry run also passed independently of this execution. + +## Scope and expansion decision + +This is a conditional finite supplier and outer certificate. The inherited +all-size, compiler, physical/native and analytic multiplication-theorem +obligations remain. No selected record is changed. An archive merge or passing +CI would not establish independent scientific admission. + +The explicit user task was to exceed the strongest reported repository claim. +Before expanding, we reran Arham Tahir's code-disjoint PR3136 coupled-carrier +local audit successfully, pinned both providers and their complete bill, and +bounded the task to the demonstrable packing gap. The changed inventory makes +the old cap witness inapplicable. The acceptance test requires every role, +all buffers and the complete native/physical/prefix/outer release; partial +checks cannot support a released endpoint. See `TASK.json` for the evidence and +obligation ledger. Failed preliminary operator-valued probes are not claimed +as a general obstruction or a new contribution here. + +## Open next questions + +- Independently replay this exact source and allocation and inspect the larger + physical bill before any frontier adoption. Maintainer scientific review and + inherited theorem obligations remain; the first step is the explicit full + reproduction above. +- Can a different chronology realize the same cap with fewer replicas? The + residue certificate permits multiples of 20 but does not construct them. + First build a legal owner-window model at T20; reject candidates that fail + source availability or pay back the saving in physical/prefix costs. +- Further exponent improvement needs changed words, widths, capacities or a + different moment model: this fixed-word packing relaxation is attained. + Start with a concrete paid change and audit both its producer and consumer + before another downstream packing search. + +## Credit + +The coupled folds, literal T74 fill and changed-inventory cap are dcharb78's +PR3133. The underlying joint rank-7 words and relaxation tools are Marius-Paul +Dumitrean's PR2979/2942/2930, building on Jeremy Kothe's rewrites/preload chain, +Mason Hale's paired extension, Jeremy Diviney's paired-extraction certificate, +Yiyang Lu's shared-kernel/flow work, Dugongue's packing lineage, Tekalign's +owner/admission checks and icekylinx's exact operator audit. Petalas supplied +the PR3024 lift/dual argument and PR3030 integration pattern. Gonzalo Mier's +PR3143 supplies the precise comparison claim; Arham Tahir's PR3136 supplied +the separately replayed local audit. Retained source notices and full earlier +credits are in `vendor/PR3133-NOTICE` and `vendor/PR3133-CREDITS.md`. + +The new deterministic exchange, integration and verification work are by +Jeremy Diviney with substantial OpenAI Codex assistance. No independent human +or formal-kernel review is claimed. diff --git a/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-CREDITS.md b/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-CREDITS.md new file mode 100644 index 0000000000..24f00912d4 --- /dev/null +++ b/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-CREDITS.md @@ -0,0 +1,19 @@ +# Credits + +- **PR #2908, Jeremy Diviney**: the paired input/output extraction, its compensation rule `C*S`, the exact two-sided certificate (`structure.py`, vendored unchanged) and the closed-adapter admission chain. +- **PR #2917, Mason Hale**: the nine paired extractions and 82-endpoint words under PR2942, the refit/compose producer model that stage 2 follows, the T74 chronology (ORDER/DISPATCH), the allocation checker, moment auditor, extension stage and adapter derivation reused here. +- **PR #2957 / #2948 / #2966, Jeremy Kothe (jeremykothe2)**: the fourteen declared exactness-preserving gate rewrites in five classes (R-retime, A3779-cut-start-read, PM-carrier-lender-entry, B-carrier-retime, A-commuting-swap) and their pure applier (`vendor/declared_rewrites.py`, vendored unchanged); stage 3 composes exactly these rewrites onto this package's stage-2 word (`data/REWRITES-2957.json`, re-addressed with exact preimages). PR2966 composed the same rewrites onto our PR2942 words. +- **PR #2969, Dugongue**: the PR2942 + PR2957 composition at T370 and its cap-level headline nomination, this package's comparator and moment baseline (`allocation/baseline/`). Our stage 3 composes the same fourteen rewrites, here onto the stage-2 word. +- **PR #2918 (research/helper408-rank7-pairing), RossRichardson**: the fixed-cut rank-seven obstruction for helper408; this package's census of fresh rank-7 extractions reproduces it exactly and is consistent with it. +- **PR #2894 / #2833, Jeremy Kothe**: the preload re-synthesis supplier, the frame accounting and inverse-reverse cleanup (`vendor/preload_move.py`), the source materializer and the inherited supplier lineage. +- **PR #2857 / #2848, Yiyang Lu (Lyy-iiis)**: the shared-kernel words, the staged native/overlay tooling and the chronological flow model and realization (edge colouring) used to construct the allocation; PR2843 (Marius-Paul Dumitrean) is that flow model's starting point. +- **PR #2863 / #2839, Dugongue**: the packing lineage and the PR2839 owner engine. +- **Tekalign**: the independent owner/chronology checker (`allocation/vendor/independent_owners.py`) and admission tooling. +- **icekylinx**: the exact free-operator auditor retained as `vendor/audit_local.py` (PR2833). +- **themilkman216**: the observation that a cap-level allocation of these inventories needs a T whose basic counts are integral, which the allocation's degenerate-face step builds on. +- **Gareth Davidson (bitplane), PR #1995 / #2013**: the fixed-word terminal-subspace bounds that frame stage 1's scope; earlier rank-seven helper ends on other words are in `research/complex-rank7-end-pair`, `research/k8-rank7-composition` and the PR1090/PR1104 lineage (credited there). +- **PR #2930 / #2942, Marius-Paul Dumitrean**: the cap allocation of PR2917's words, the four normal-45 extractions under these words, the relaxation tools and the overlay/producer conventions reused here. +- **PR #2979, Marius-Paul Dumitrean (with substantial AI assistance from Anthropic Claude via Claude Code)**: the codimension-2 census on paired-extraction words, the joint end-frame lowering of 22 restored helpers in five groups (stage 1), the five further extractions it makes profitable (stage 2), the exact composition with PR2957's rewrites (stage 3), the producer and local verification for all three stages, the overlay stage `rank7-joint-endframes` with its rebuild guards, the adapter generalization to six width classes, the literal T74 allocation of the changed inventory, its relaxation certificates and recorded gap, and the complete fresh replay. +- **PR #3015, Jeremy Kothe (jeremykothe2)**: the declared literal edit stage (`edits/`, `tools/build_edits.py`) with its independent review (`edits/edits_review.py`), and edit R1 on PR #2979's restore section (carrier 61 for register 63). +- **PR #3042, dcharb78 (with AI assistance)**: the six restore carrier/pivot skips (`R1_E42` at `restore[162:188]`, `26 -> 33` gates skipping `{22, 40, 54, 63}`, and `R2_E7` at `restore[190:203]`, `13 -> 15` gates skipping `{5, 73}`) on PR #2979's words that serve as the direct starting words for `B_586_438` and `B_588_440`. +- **New here (dcharb78, with AI assistance)**: the two coupled `B` + `restore` dying-helper carrier folds (`B_586_438` and `B_588_440`, `6` hunks / `6 -> 5` gates each) and `helper_final` lowerings on entering helpers `586` ($E_{30} \to V_{30,76,82}$) and `588` ($E_{30} \to V_{30,97,127}$) shifting the helper width inventory from `{4:26, 5:2, 6:16, 7:52, 8:99, 9:213}` to `{4:26, 5:2, 6:18, 7:50, 8:99, 9:213}` (`+665` net profit per helper, `+1,330` joint), the literal `T74_optimal_idle39` allocation (`allocation/FILL.json.gz`), the 21-control per-word edit review (`edits/edits_review.py`) and 100-control four-stage replay (`verify.py`), and the re-derived paid profile, cap certificate (`certificates/RELAX-CAP.json`), and complete fresh-native admission and release receipts. PR #2979 (mdumitrean), PR #3015 (jeremykothe2), and PR #3042 (dcharb78) are credited first. diff --git a/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-NOTICE b/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-NOTICE new file mode 100644 index 0000000000..89c20926ea --- /dev/null +++ b/research/raw-selected-centre-units/provenance/f2927a4b8afcf0701a6b945e14f30de1d94f5176/research/coupled-carrier-cap740/vendor/PR3133-NOTICE @@ -0,0 +1,28 @@ +research/rank7-joint-endframes +Copyright 2026 Marius-Paul Dumitrean. Licensed under the Apache License, Version 2.0. +Prepared with substantial AI assistance (Anthropic Claude, via Claude Code). + +This package retains, byte-identical, Apache-2.0 files from: PR #2942 (Marius-Paul Dumitrean, head +a027b0f6fdb0ab2b42ba10fc31b53960166bf2bf, research/paired-extension-normal45): data/PARENT-base.json.gz and +data/PARENT-extra.json.gz (its data/WORD-*.json.gz), comparators/PR2942-CLAIM.json and tools/wordedit.py; PR #2917 +(Mason Hale, head 224bd5e56041c40078ff6b5fa7393733a215de5c, research/paired-helper-extension): structure.py (Jeremy +Diviney's PR2908 two-sided certificate checker), vendor/audit_local.py (PR2833's independent exact auditor, icekylinx +attribution), vendor/preload_move.py (Jeremy Kothe's PR2894 frame accounting and cleanup), allocation/ORDER.json, +allocation/DISPATCH.json and allocation/vendor/ (independent_owners.py: Tekalign's independent owner checker as vendored +by PR2839/PR2917; PLAN.json.gz, TEMPLATE.json.gz); PR #2957 (Jeremy Kothe, head b74b25f3ccc84c16e1a801d73b2f47e5ea764c78, +research/paired-extension-cap-fill-swaps): vendor/declared_rewrites.py (the pure applier of the fourteen declared +rewrites) and comparators/PR2957-CLAIM.json; PR #2966 (Jeremy Kothe, head e62d3eb9005117d82a9babcfa937ecc53237c490, +research/paired-extension-normal45-rewrites): comparators/PR2966-CLAIM.json; PR #2969 (Dugongue, head +e2ca469b08385d3d5e29a918d66dbefaf889e9f3, research/paired-swap-normal45): allocation/baseline/ (its CLAIM.json and its +allocation ORDER.json and PROFILE.json); and PR #2930 (head 81f3b5d12977eba09e06fbff729167d59faabe90): tools/relax.py, +tools/root.py, tools/relax_exact.py. +data/REWRITES-2957.json is Jeremy Kothe's PR2957 rewrite list, re-addressed to this package's stage-2 word with exact +preimages (every entry keeps a credit field). producer.py follows PR2917's producer.py (Mason Hale) for its paired steps; +verify.py, check_allocation.py, check_cap.py, run_registered.py and reproduce.py adapt our PR2942 versions of PR2917's and +PR2930's; tools/audit_allocation_moment.py is PR2917's exact moment auditor with only its authenticated baseline changed (to +the PR2969 headline); tools/derive_adapters.py generalizes PR2917's adapter derivation (PR2908, Jeremy Diviney); +tools/build_overlay.py follows the overlay conventions of PR2908's and PR2917's builders. construction/allocation/ retains +the flow model of PR2857/PR2843 (Yiyang Lu, Marius-Paul Dumitrean) as adapted for this allocation. All original notices of +the exported predecessor packages remain in force. + +Derived work (Apache-2.0): this package (`research/rank7-restore-carrier-skips`) builds on PR #2979 (Marius-Paul Dumitrean, head be191346, research/rank7-joint-endframes) and PR #3015 (Jeremy Kothe, jeremykothe2, research/rank7-joint-endframes-restore-edit), retained byte-identical except for the files named in README.md, plus two declared restore edit blocks (`R1_E42` and `R2_E7` in `edits/EDITS.json` and `edits/FINAL-WORD-*.json.gz`) and their re-derived certificates and complete fresh-native admission and release receipts by dcharb78, with AI assistance. PR #2979's own evidence is kept under evidence/pr2979/. diff --git a/research/raw-selected-centre-units/reproduce.py b/research/raw-selected-centre-units/reproduce.py new file mode 100644 index 0000000000..23a542c403 --- /dev/null +++ b/research/raw-selected-centre-units/reproduce.py @@ -0,0 +1,147 @@ +#!/usr/bin/env python3 +"""Replay the frozen selected-centre unit checks in a new directory.""" + +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json +import os +import platform +import shutil +import subprocess +import sys +import tempfile +import time + + +HERE = Path(__file__).resolve().parent +CAMPAIGN = Path("work/centre-encoding-campaign-20261014") +MANIFEST = HERE / "SOURCE-MANIFEST.json" + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def read(path): + return json.loads(path.read_text()) + + +def check_inputs(): + files = read(MANIFEST)["files"] + for name, item in files.items(): + raw = (HERE / name).read_bytes() + require(len(raw) == item["bytes"], "Source size: " + name) + require(sha256(raw).hexdigest() == item["sha256"], "Source hash: " + name) + if "decompressed_sha256" in item: + require(sha256(gzip.decompress(raw)).hexdigest() == item["decompressed_sha256"], + "Source payload: " + name) + return len(files) + + +def mathematical(value): + if isinstance(value, dict): + return {key: mathematical(item) for key, item in value.items() + if key not in {"seconds", "max_rss_bytes", "checker_sha256"}} + if isinstance(value, list): + return [mathematical(item) for item in value] + return value + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, required=True) + parser.add_argument("--optimized", action="store_true") + args = parser.parse_args() + output = args.out.resolve() + require(not output.exists(), "Use a new output directory") + require(not output.is_relative_to(HERE), "Keep replay output outside the package") + output.parent.mkdir(parents=True, exist_ok=True) + require(shutil.disk_usage(output.parent).free >= 3 * 1024**3 + 100 * 1024**2, + "Keep at least 3 GiB free during the replay") + count = check_inputs() + output.mkdir() + started = time.monotonic() + env = dict(os.environ, PYTHONDONTWRITEBYTECODE="1", OMP_NUM_THREADS="1", + OPENBLAS_NUM_THREADS="1", MKL_NUM_THREADS="1", NUMEXPR_NUM_THREADS="1") + report = {"schema": "raw-selected-centre-units-replay-v1", "source_files": count, + "manifest_sha256": sha256(MANIFEST.read_bytes()).hexdigest(), + "replay_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "python": sys.version, "platform": platform.platform(), + "optimized_reviewers": args.optimized, "stages": []} + with tempfile.TemporaryDirectory(prefix="selected-units-", dir=output) as temporary: + workspace = Path(temporary) / "workspace" + shutil.copytree(HERE / "frozen", workspace) + c = workspace / CAMPAIGN + lanes = c / "lanes" + old_r = read(lanes / "circuit-interface/INTERFACE.json")["R"] + new_r = read(lanes / "new-core-transfer-20261017/INTERFACE.json")["R"] + require(old_r == new_r, "Historical and transferred centre rows are equal") + report["old_new_R_equal"] = True + + def run(name, script, receipt, expected, arguments=(), fixed=False, optimize=True): + require(shutil.disk_usage(output).free >= 3 * 1024**3, + "Keep at least 3 GiB free during the replay") + command = [sys.executable, "-I", "-B"] + if args.optimized and optimize: + command.append("-O") + command.extend([str(c / script), *map(str, arguments)]) + log = output / (name + ".log") + tick = time.monotonic() + print("RUN " + name, flush=True) + with log.open("w") as stream: + process = subprocess.run(command, cwd=workspace, env=env, stdout=stream, + stderr=subprocess.STDOUT, check=False) + require(process.returncode == 0, "Replay failed; read " + str(log)) + produced = c / receipt if fixed else output / receipt + actual, original = read(produced), read(HERE / "frozen" / CAMPAIGN / expected) + require(mathematical(actual) == mathematical(original), + "Mathematical receipt differs: " + name) + if fixed: + shutil.copyfile(produced, output / (name + ".json")) + report["stages"].append({"name": name, "status": actual["status"], + "seconds": time.monotonic() - tick, "log": log.name, + "command": command, + "mathematical_receipt_equal": True, + "python_optimized": args.optimized and optimize}) + print(actual["status"], flush=True) + + run("irregular-unit", "root/check_irregular_split_20261017.py", + "root/IRREGULAR-SPLIT-20261017.json", "root/IRREGULAR-SPLIT-20261017.json", fixed=True) + run("dyadic-witness", "lanes/dyadic-subset-search-20261017/check_dyadic_subsets.py", + "lanes/dyadic-subset-search-20261017/DYADIC-SUBSETS.json", + "lanes/dyadic-subset-search-20261017/DYADIC-SUBSETS.json", fixed=True, optimize=False) + run("complete-minors", "lanes/native-escape-20261017/check_raw_minor_subsets.py", + "lanes/native-escape-20261017/RAW-MINOR-SUBSETS.json", + "lanes/native-escape-20261017/RAW-MINOR-SUBSETS.json", fixed=True) + regenerated = gzip.decompress((lanes / "native-escape-20261017/RAW-FIVE-MINOR-PROGRAM.json.gz").read_bytes()) + original = gzip.decompress((HERE / "frozen" / CAMPAIGN / "lanes/native-escape-20261017/RAW-FIVE-MINOR-PROGRAM.json.gz").read_bytes()) + require(regenerated == original, "Complete-minor regenerated payload differs") + run("odd-grid", "lanes/bridge-review-20261017/odd-grid-a8-review-20261017/check_review.py", + "lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.json", + "lanes/bridge-review-20261017/odd-grid-a8-review-20261017/REVIEW.json", fixed=True) + run("native-phases", "lanes/independent-review-20261017/check_new_native.py", + "native-phases.json", "lanes/independent-review-20261017/NEW-CORE-NATIVE-REVIEW.json", + ("--providers", "base", "extra", "--out", output / "native-phases.json")) + run("serial-interfaces", "lanes/new-native-recipes-20261017/replay_serial_balanced.py", + "serial-interfaces.json", "lanes/new-native-recipes-20261017/SERIAL-BALANCED-REVIEW.json", + ("--out", output / "serial-interfaces.json")) + run("irregular-native", "lanes/new-native-recipes-20261017/replay_irregular_38.py", + "irregular-native.json", "lanes/new-native-recipes-20261017/IRREGULAR-38-REVIEW.json", + ("--out", output / "irregular-native.json")) + run("short-normalization", "lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/check.py", + "short-normalization/REVIEW.json", + "lanes/new-native-recipes-20261017/reduced-transfer-review-20261018/verified-normal/REVIEW.json", + ("--out", output / "short-normalization")) + check_inputs() + report.update(status="PASS_RAW_SELECTED_CENTRE_UNITS", frozen_inputs_unchanged=True, + seconds=time.monotonic() - started, + scope="Exact local units and native words. No complete supplier or kappa change.") + (output / "REPLAY.json").write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"], flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/raw-selected-centre-units/validation/COMPARISON.json b/research/raw-selected-centre-units/validation/COMPARISON.json new file mode 100644 index 0000000000..495d6c96c9 --- /dev/null +++ b/research/raw-selected-centre-units/validation/COMPARISON.json @@ -0,0 +1,73 @@ +{ + "checks": [ + { + "canonical_mathematical_sha256": "a8e5abee2644a81765210da255b20e3483db203a1fbf8eae929590cc006977de", + "equal": true, + "normal_sha256": "0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f", + "optimized_sha256": "0a8d22fa0b523c261243e9b19cfd51926c9b515a9e6f9a962d1e3b5170105a8f", + "receipt": "irregular-unit.json" + }, + { + "canonical_mathematical_sha256": "8f088b5107a3fd281d58fbf34e6ee1dcfe52ec687b480406e89c105eb21c4d13", + "equal": true, + "normal_sha256": "25e83918d8055b503faea433a44ba5958390a21610a158998d4579dd25008296", + "optimized_sha256": "25e83918d8055b503faea433a44ba5958390a21610a158998d4579dd25008296", + "receipt": "dyadic-witness.json" + }, + { + "canonical_mathematical_sha256": "e1864a440690b9af1038d414bda44a53ab420847a0d661295f18a761dac4d2c0", + "equal": true, + "normal_sha256": "5e649da77e7899b394477a29bcc6b0de144de4bdd2428f90ea7c22d1a54f162a", + "optimized_sha256": "5e649da77e7899b394477a29bcc6b0de144de4bdd2428f90ea7c22d1a54f162a", + "receipt": "complete-minors.json" + }, + { + "canonical_mathematical_sha256": "1367bd0f978e72041b387c5160840b31c283130433dd3b529e551a4fc19bde54", + "equal": true, + "normal_sha256": "4dc2c2aaf6dd85c3b32d9508ca8dc89a7a9b0b470fe31cfcf0cf1810c36b8d41", + "optimized_sha256": "4dc2c2aaf6dd85c3b32d9508ca8dc89a7a9b0b470fe31cfcf0cf1810c36b8d41", + "receipt": "odd-grid.json" + }, + { + "canonical_mathematical_sha256": "dfe50881ce8419e3c05bff1b20b3b652cde846477ae28badbfe86c8b46d671f2", + "equal": true, + "normal_sha256": "6d57e2e032342daf3ec1dd354852e4383f74526e7bf763b7611597c5250e3fc5", + "optimized_sha256": "9f7e3efdf418671ea5e593737b52b2b2e345b08927413547d024f51af62d0a7c", + "receipt": "native-phases.json" + }, + { + "canonical_mathematical_sha256": "af0f96bdd68c8aff6165bbee0616e7705718f65f3d61f632ab016564e3cc1b01", + "equal": true, + "normal_sha256": "fa5a937220a0ab71cf9c0faa08ca345bd5f037dfa972a89d7a504fb66b5856ab", + "optimized_sha256": "57883d69ab69249adb4661f92325427248a54c5ea5924a76700ae1e9dee69b20", + "receipt": "serial-interfaces.json" + }, + { + "canonical_mathematical_sha256": "42193271391738c13c1775132b83684c36dfddb027f0e0d0acbc97272e41f822", + "equal": true, + "normal_sha256": "89c9c3ca92a98d99ad461318abd7107dfe5f7b5938b7534cddf3b3df68500fd1", + "optimized_sha256": "953fee12ac9e973ff0d5dfaa622af09c33f750a66ecbb5241583618cb2eea16d", + "receipt": "irregular-native.json" + }, + { + "canonical_mathematical_sha256": "9c4c1ebddd77c93ecc7db018c50c8f556f347ec37a2c817f6c5b98b2be9233eb", + "equal": true, + "normal_sha256": "ec9ecf398f9f79981c0fa2001019122b0bbabc591ca6b08aa3be4d9e44fd3abf", + "optimized_sha256": "ec9ecf398f9f79981c0fa2001019122b0bbabc591ca6b08aa3be4d9e44fd3abf", + "receipt": "short-normalization/REVIEW.json" + } + ], + "excluded_keys": [ + "checker_sha256", + "max_rss_bytes", + "seconds" + ], + "input_manifest_bytes_equal": true, + "normal_seconds": 175.27400483295787, + "optimized_seconds": 143.068755958986, + "replay_sha256": "0246a899091017c73361390c0822c9f25f1e4024dc021e91be5cdd6e010506fd", + "schema": "selected-centre-units-mode-comparison-v1", + "scope": "Same mathematical receipt fields in both modes. 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VtIG91dGVyIGthcHBhIEMgLSAxL0YgLSBCIChQ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\ndGhlIGZyYW1lLW9ubHkgYGxvY2FsLXJlcGxh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Apache-2.0.\r\nPrepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. The wrapper construction follows PR #458\r\n(chafreaky): a helper that starts at frame E and ends at FULL has the physical residual S_E = T_FULL T_E^-1 (apply T_E^-1 first);\r\nS_E = L_E (C_[w] x I) R_E with R_E applied first; the wrappers R_E^-1 before the whole local invocation and L_E^-1 after its\r\nfull-frame cleanup turn the residual into the coordinate factor C_[w] x I and restore the other 9 - w coordinates identically.\r\nusage: adapters_gk.py CANONICAL-WORD.json.gz RESIDUAL-ADAPTERS.json OUT-LEMMA-A.json\r\nWrites the recipes (generation uses clifford_exact.lower_child) and then DECODES the serialized monomials with the primitive\r\nconstructors of clifford_exact (not lower_child) and checks, for every entrance frame, that L_E^-1 S_E R_E^-1 has exactly the\r\ntableau and zero-state vector (global phase included) of fourier(9, range(w)); mutated recipes (wrong phase, swapped sides, wrong\r\ntranslation, wrong width) must be rejected.\"\"\"\r\nif not __debug__:\r\n raise RuntimeError('assertions must remain enabled') # every check of this stage is an assert\r\nimport copy, gzip, json, sys\r\nfrom pathlib import Path\r\n# Package-path adaptation only; the exact wrapper mathematics is unchanged.\r\nHERE = Path(__file__).resolve().parent\r\nsys.path.insert(0, str(HERE / 'vendor/clifford')) # BW: the pinned vendor531 clifford_exact (byte copy)\r\nsys.path.insert(0, str(HERE))\r\nfrom clifford_exact import canonical_frame, lower_child, fourier, diag, perm, xgate, Op, identity, transpose, inv, parity, monomial as mono_of, mv\r\nimport bw_gauss\r\nn = 9; FULL = tuple(1 << i for i in range(n))\r\ndef monomial_op(rec):\r\n \"\"\"decode a serialized monomial (matrix rows, quadratic rows, Z4 linear part, translation, phase)\"\"\"\r\n out = diag(n, tuple(rec['quadratic_rows']), tuple(rec['linear_Z4'])).then(perm(n, tuple(rec['matrix_rows']))).then(xgate(n, rec['offset']))\r\n return out.then(Op(n, identity(n), [('phase', rec['phase'])]))\r\ndef S_of(U, END=FULL):\r\n # HPE: a helper that starts at E=U and ends at END has residual T_END T_E^-1 (END = FULL is the inherited case)\r\n return canonical_frame(n, tuple(U)).adjoint().then(canonical_frame(n, tuple(END)))\r\ndef wrapped_ok(U, rec, END=FULL):\r\n \"\"\"exactly: L^-1 S R^-1 = C_[w] x I (apply order: R^-1, S, L^-1), w = dim END - dim E\"\"\"\r\n w = len(END) - len(U); S = S_of(U, END); Rm = monomial_op(rec['right']); Lm = monomial_op(rec['left'])\r\n net = Rm.adjoint().then(S).then(Lm.adjoint()); target = fourier(n, range(w))\r\n return rec['rank'] == w and net.tab == target.tab and net.zero_state() == target.zero_state()\r\ndef _contains(a, b):\r\n a = list(a)\r\n for x in b:\r\n for y in sorted(a, reverse=True):\r\n if x >> (y.bit_length() - 1) & 1: x ^= y\r\n if x: return False\r\n return True\r\ndef Kop(G_cols):\r\n \"\"\"BW: K_G = perm(G) then diag(Q), Q = I + G^-T G^-1: PR2226's monomial() and the conjugator inside clifford_exact.canonical_frame.\"\"\"\r\n G = transpose(tuple(G_cols), n); gi = inv(G, n)\r\n Q = tuple((1 << i) ^ sum(parity(gi_i & gi_j) << j for j, gi_j in enumerate(transpose(gi, n))) for i, gi_i in enumerate(transpose(gi, n)))\r\n return perm(n, G).then(diag(n, Q))\r\ndef numeric_K(G_cols):\r\n import numpy as np\r\n pv, ph = bw_gauss.monomial(list(G_cols), n)\r\n N = 1 << n; re = np.zeros((N, N), dtype=np.int64); im = np.zeros((N, N), dtype=np.int64)\r\n unit = [(1, 0), (0, 1), (-1, 0), (0, -1)]\r\n for x in range(N): re[pv[x], x], im[pv[x], x] = unit[ph[x]]\r\n return re, im, 0\r\ndef warp_ok(G_cols, rec):\r\n \"\"\"BW: the serialized monomial equals PR2226's exact numpy K_G on all 512 columns (indep. decode) and its op decodes to K_G exactly.\"\"\"\r\n m = bw_gauss.recipe_matrix(rec, n)\r\n if not bw_gauss.equal_scaled(numeric_K(G_cols), m): return False\r\n dec = monomial_op(rec); ref = Kop(G_cols)\r\n return dec.tab == ref.tab and dec.zero_state() == ref.zero_state()\r\n\r\ndef main():\r\n c = json.load(gzip.open(sys.argv[1])); frames = c['frames']; v = c['v']\r\n starts = sorted({c['start'][r] for r in range(2 * v, len(c['start'])) if c['start'][r] != 0 and c['final'][r] == 1})\r\n # HPE: (entrance, terminal) pairs of helpers ending at a proper subspace; key 'E:U'. Inherited words have none.\r\n ends = sorted({(c['start'][r], c['final'][r]) for r in range(2 * v, len(c['start'])) if c['final'][r] != 1})\r\n # COLD-HPE: e == 0 (a cold helper, entrance = bottom, T_0 = I) is allowed: the (0, U) recipe is keyed '0:U'\r\n assert all(len(frames[u]) < n and _contains(frames[u], frames[e]) for e, u in ends)\r\n cold_ends = [(e, u) for e, u in ends if e == 0]\r\n recipes = {}\r\n for f in starts:\r\n U = frames[f]; rec, compiled = lower_child(S_of(U))\r\n recipes[str(f)] = dict(frame=f, vectors=list(U), entrance_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right'])\r\n for e, u in ends:\r\n E, U = frames[e], frames[u]; rec, compiled = lower_child(S_of(E, U))\r\n recipes['%d:%d' % (e, u)] = dict(frame=e, terminal=u, vectors=list(E), terminal_vectors=list(U), entrance_rank=len(E),\r\n terminal_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right'])\r\n # BW: monomial recipes of the warps K_G (anticipatory dirty borrowing, PR2226): one per operator, serialized like a wrapper monomial\r\n warp_recipes = {}\r\n for w in c.get('warps', []):\r\n _, rec_k = mono_of(Kop(w['G_columns']))\r\n warp_recipes[str(w['op'])] = dict(op=w['op'], from_frame=w['from_frame'], to_frame=w['to_frame'], G_columns=list(w['G_columns']), K=rec_k)\r\n Path(sys.argv[2]).write_text(json.dumps(dict(status='RESIDUAL_ADAPTER_RECIPES', recipes=recipes, warps=warp_recipes), sort_keys=True, separators=(',', ':')) + '\\n')\r\n # ---- independent decode of the serialized file\r\n data_all = json.loads(Path(sys.argv[2]).read_text()); data = data_all['recipes']\r\n dot = lambda a, b: bin(a & b).count('1') & 1\r\n detail = []\r\n for f in starts:\r\n rec = data[str(f)]; U = frames[f]\r\n assert wrapped_ok(U, rec), ('wrapper product is not C_[w] x I', f)\r\n detail.append(dict(frame=f, entrance_rank=len(U), residual_width=n - len(U), vectors=list(U), all_even_weight=all(bin(x).count('1') % 2 == 0 for x in U),\r\n totally_isotropic=all(dot(a, b) == 0 for a in U for b in U)))\r\n hdetail = []\r\n for e, u in ends: # HPE: independent decode, residual width = dim U - dim E\r\n rec = data['%d:%d' % (e, u)]; E, U = frames[e], frames[u]\r\n assert wrapped_ok(E, rec, U), ('HPE wrapper product is not C_[w] x I', e, u)\r\n hdetail.append(dict(frame=e, terminal=u, entrance_rank=len(E), terminal_rank=len(U), residual_width=len(U) - len(E)))\r\n controls = []\r\n def reject(name, fn):\r\n f = starts[0]; rec = copy.deepcopy(data[str(f)]); fn(rec)\r\n if wrapped_ok(frames[f], rec): raise AssertionError('mutated wrapper accepted: ' + name)\r\n controls.append(name)\r\n reject('wrong global phase', lambda r: r['right'].__setitem__('phase', (r['right']['phase'] + 1) % 4))\r\n reject('wrong translation', lambda r: r['left'].__setitem__('offset', r['left']['offset'] ^ 1))\r\n reject('wrong quadratic form', lambda r: r['right'].__setitem__('quadratic_rows', [x ^ 2 if i == 0 else x for i, x in enumerate(r['right']['quadratic_rows'])]) if False else r['right']['linear_Z4'].__setitem__(0, (r['right']['linear_Z4'][0] + 2) % 4))\r\n reject('sides swapped', lambda r: (r.__setitem__('left', r['right']), r.__setitem__('right', r['left'])))\r\n reject('wrong width', lambda r: r.__setitem__('rank', r['rank'] + 1))\r\n if ends: # HPE controls on the first (E, U) pair\r\n e, u = next((p for p in ends if p[0] != 0), ends[0]); rec0 = data['%d:%d' % (e, u)] # COLD-HPE: an entering pair if any (= ends[0] without cold ends)\r\n def hreject(name, ok):\r\n if ok: raise AssertionError('HPE mutation accepted: ' + name)\r\n controls.append(name)\r\n hreject('hpe: U-wrapper decoded against a FULL ending', wrapped_ok(frames[e], rec0))\r\n hreject('hpe: width misreported as 9 - dim E', wrapped_ok(frames[e], dict(rec0, rank=n - len(frames[e])), frames[u]))\r\n other = next(f for f in range(len(frames)) if f != u and len(frames[f]) == len(frames[u]) and _contains(frames[f], frames[e]))\r\n hreject('hpe: wrong terminal hyperplane', wrapped_ok(frames[e], rec0, frames[other]))\r\n fe = next(((e2, u2) for e2, u2 in ends if str(e2) in data), None)\r\n if fe: # an entrance shared with FULL-ended helpers: R_{E,FULL} must not serve as R_{E,U}\r\n r2 = data['%d:%d' % fe]\r\n hreject('hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}', wrapped_ok(frames[fe[0]], dict(r2, right=data[str(fe[0])]['right']), frames[fe[1]]))\r\n hreject('hpe: wrong global phase', wrapped_ok(frames[e], dict(rec0, left=dict(rec0['left'], phase=(rec0['left']['phase'] + 1) % 4)), frames[u]))\r\n if cold_ends: # COLD-HPE controls on the first cold pair (0, U): factor_iff_pre says only R_{0,U} itself may precede\r\n e, u = cold_ends[0]; recc = data['%d:%d' % (e, u)]; E, U = frames[e], frames[u]\r\n ID = dict(matrix_rows=[1 << i for i in range(n)], offset=0, quadratic_rows=[0] * n, linear_Z4=[0] * n, phase=0)\r\n assert monomial_op(ID).tab == identity(n) # the control's wrapper really is the identity\r\n def creject(name, ok):\r\n if ok: raise AssertionError('cold HPE mutation accepted: ' + name)\r\n controls.append(name)\r\n creject('cold hpe: identity pre wrapper instead of R_{0,U}', wrapped_ok(E, dict(recc, right=ID), U))\r\n creject('cold hpe: identity post wrapper instead of L_{0,U}', wrapped_ok(E, dict(recc, left=ID), U))\r\n creject('cold hpe: no wrappers (cold FULL convention L = R = I)', wrapped_ok(E, dict(recc, left=ID, right=ID), U))\r\n creject('cold hpe: U-wrapper decoded against a FULL ending', wrapped_ok(E, recc))\r\n creject('cold hpe: width misreported as 9', wrapped_ok(E, dict(recc, rank=n), U))\r\n other = next(f for f in range(len(frames)) if f != u and len(frames[f]) == len(frames[u]))\r\n creject('cold hpe: wrong terminal hyperplane', wrapped_ok(E, recc, frames[other]))\r\n creject('cold hpe: wrong global phase', wrapped_ok(E, dict(recc, right=dict(recc['right'], phase=(recc['right']['phase'] + 1) % 4)), U))\r\n ent = next((p for p in ends if p[0] != 0 and p[1] == u), None)\r\n same = lambda x, y: monomial_op(x).tab == monomial_op(y).tab and monomial_op(x).zero_state() == monomial_op(y).zero_state()\r\n if ent and not same(data['%d:%d' % ent]['right'], recc['right']): # an entering helper ending at the same U: its R_{E,U} must not serve as R_{0,U}\r\n creject('cold hpe: pre wrapper resolved to an entering recipe R_{E,U}', wrapped_ok(E, dict(recc, right=data['%d:%d' % ent]['right']), U))\r\n wdetail = []\r\n for w in c.get('warps', []): # BW: independent decode of every warp recipe, then mutation controls on the first warp\r\n rec = data_all['warps'][str(w['op'])]\r\n assert rec['G_columns'] == w['G_columns']\r\n assert warp_ok(w['G_columns'], rec['K']), ('warp recipe differs from the exact monomial K_G', w['op'])\r\n wdetail.append(dict(op=w['op'], from_frame=w['from_frame'], to_frame=w['to_frame'], columns_checked=1 << n))\r\n if c.get('warps'):\r\n w0 = c['warps'][0]; k0 = data_all['warps'][str(w0['op'])]['K']\r\n def wreject(name, ok):\r\n if ok: raise AssertionError('warp mutation accepted: ' + name)\r\n controls.append(name)\r\n wreject('warp: wrong global phase', warp_ok(w0['G_columns'], dict(k0, phase=(k0['phase'] + 1) % 4)))\r\n wreject('warp: wrong translation', warp_ok(w0['G_columns'], dict(k0, offset=k0['offset'] ^ 1)))\r\n wreject('warp: wrong linear phase', warp_ok(w0['G_columns'], dict(k0, linear_Z4=[(k0['linear_Z4'][0] + 2) % 4] + k0['linear_Z4'][1:])))\r\n wreject('warp: wrong quadratic form', warp_ok(w0['G_columns'], dict(k0, quadratic_rows=[k0['quadratic_rows'][0] ^ 2, k0['quadratic_rows'][1] ^ 1] + k0['quadratic_rows'][2:])))\r\n wreject('warp: recipe of another operator', warp_ok(w0['G_columns'], data_all['warps'][str(c['warps'][1]['op'])]['K']))\r\n wreject('warp: inverse recipe used as the warp', warp_ok(w0['G_columns'], mono_of(Kop(w0['G_columns']).adjoint())[1]))\r\n G2 = list(w0['G_columns']); G2[0] ^= G2[1]\r\n wreject('warp: wrong G (frame-changed column)', warp_ok(G2, k0))\r\n sing = list(w0['G_columns']); sing[1] = sing[0]\r\n try: Kop(sing); raise SystemExit('non-invertible G accepted')\r\n except (AssertionError, StopIteration, ValueError): controls.append('warp: non-invertible G')\r\n res = dict(status='PASS_RESIDUAL_WRAPPERS_ARE_EXACT', frames=len(detail), **({'hyperplane_end_pairs': hdetail} if ends else {}), **({'cold_hyperplane_end_pairs': len(cold_ends)} if cold_ends else {}), wrappers_reject=controls, all_even_weight=all(d['all_even_weight'] for d in detail), **({'warp_recipes_exact_on_all_512_columns': wdetail} if wdetail else {}),\r\n all_totally_isotropic=all(d['totally_isotropic'] for d in detail), detail=detail)\r\n Path(sys.argv[3]).write_text(json.dumps(res, indent=1) + '\\n')\r\n print('Lemma A (exact): L^-1 S_E R^-1 = C_[w] x I for', len(detail), 'entrance frames, global phase included;', len(controls), 'wrapper mutations rejected; all-even-weight:', res['all_even_weight'])\r\nif __name__ == '__main__': main()\r\n" + }, + "isError": false + } +} diff --git a/research/raw-selected-centre-units/validation/pr2588-readback/bw_check_recipes.py.readback.json b/research/raw-selected-centre-units/validation/pr2588-readback/bw_check_recipes.py.readback.json new file mode 100644 index 0000000000..47d1f5a2eb --- /dev/null +++ b/research/raw-selected-centre-units/validation/pr2588-readback/bw_check_recipes.py.readback.json @@ -0,0 +1,45 @@ +{ + "repository": "CrocSwap/integer-mult-bounds", + "commit": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "repository_path": "research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py", + "contents_tool": "github.fetch_file", + "contents_request": { + "repository_full_name": "CrocSwap/integer-mult-bounds", + "path": "research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py", + "ref": "8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "encoding": "base64" + }, + "contents_response": { + "content": [ + { + "type": "text", + "text": "Action completed." + } + ], + "structuredContent": { + 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+ "encoding": "base64", + "sha": "6db8ad50eb2562700432a852501aad720aa34816", + "display_url": "https://github.com/CrocSwap/integer-mult-bounds/blob/8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb/research/gmx-t74-borrow43-handoff/new/code/borrow/bw_check_recipes.py", + "display_title": "bw_check_recipes.py" + }, + "isError": false + }, + "blob_tool": "github.fetch_blob", + "blob_request": { + "repository_full_name": "CrocSwap/integer-mult-bounds", + "blob_sha": "6db8ad50eb2562700432a852501aad720aa34816" + }, + "blob_response": { + "content": [ + { + "type": "text", + "text": "Action completed." + } + ], + "structuredContent": { + "content": "\"\"\"Independent recheck of the emitted warp recipes against the emitted programs (numpy only, no clifford_exact).\r\n\r\nEvery warp event class (sign, operator, from frame, to frame) used by LOCAL-PROGRAMS in either orientation must have a recipe in\r\nCLIFFORD-RECIPES.json whose serialized monomial equals, on all 512 columns exactly (global phase included), the product\r\nT_to K_G^{+-1} T_from^-1 recomputed here from the canonical word's G and frames (port of PR2226's operators.py). The logical\r\nK_G recipe of RESIDUAL-ADAPTERS.json must equal the exact K_G. Mutated recipes (phase, translation, quadratic form, wrong G,\r\ninverse used for the forward warp, a missing class, swapped frames) must all be rejected. usage: bw_check_recipes.py OUT_DIR\r\n\"\"\"\r\nif not __debug__:\r\n raise RuntimeError('assertions must remain enabled') # every check of this stage is an assert\r\nimport copy,gzip,hashlib,json,sys,time\r\nfrom pathlib import Path\r\nimport numpy as np\r\nsys.path.insert(0,str(Path(__file__).resolve().parent))\r\nimport bw_gauss as g\r\nOUT=Path(sys.argv[1]);t0=time.monotonic()\r\nc=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz'));h=c['h'];frames=c['frames']\r\nprogs=json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz'))\r\nrec_all=json.loads((OUT/'CLIFFORD-RECIPES.json').read_text())\r\nres_all=json.loads((OUT/'RESIDUAL-ADAPTERS.json').read_text())\r\nG_of={w['op']:w['G_columns'] for w in c.get('warps',[])}\r\nused=set()\r\nfor orientation in ('forward','backward'):\r\n for e in progs[orientation]:\r\n if e[0]=='warp':used.add((1 if e[2]>0 else -1,abs(e[2]),e[3],e[4]))\r\nassert used==set(map(tuple,c.get('warp_edges',[]))),'emitted warp classes differ from the word'\r\nby={(w['sign'],w['op'],w['old'],w['new']):w for w in rec_all.get('warps',[])}\r\nassert set(by)==used,('recipe classes differ from the emitted warp classes',len(set(by)^used))\r\ndef numeric_K(G):\r\n pv,ph=g.monomial(list(G),h);N=1<0 and k[2]!=k[3]);w=by[key];sign,op,f0,f1=key;left=w['left'];Gx=G_of[op]\r\n reject('recipe: wrong global phase',product_ok(*key,dict(left,phase=(left['phase']+1)%4)))\r\n reject('recipe: wrong translation',product_ok(*key,dict(left,offset=left['offset']^1)))\r\n reject('recipe: wrong linear phase',product_ok(*key,dict(left,linear_Z4=[(left['linear_Z4'][0]+2)%4]+left['linear_Z4'][1:])))\r\n reject('recipe: wrong quadratic form',product_ok(*key,dict(left,quadratic_rows=[left['quadratic_rows'][0]^2,left['quadratic_rows'][1]^1]+left['quadratic_rows'][2:])))\r\n reject('recipe: wrong matrix',product_ok(*key,dict(left,matrix_rows=[left['matrix_rows'][1],left['matrix_rows'][0]]+left['matrix_rows'][2:])))\r\n G2=list(Gx);G2[0]^=G2[1]\r\n reject('recipe: wrong G (still invertible)',product_ok(*key,left,G=G2))\r\n sing=list(Gx);sing[1]=sing[0]\r\n reject('recipe: non-invertible G',product_ok(*key,left,G=sing))\r\n reject('recipe: inverse warp recipe used for the forward warp',product_ok(sign,op,f0,f1,next(x for k,x in by.items() if k[0]==-sign and k[1]==op)['left']) if any(k[0]==-sign and k[1]==op for k in by) else False)\r\n # frame mismatch: the recipe of this class used for a class with another frame\r\n other=next((k for k in by if k!=key and k[0]==sign and k[1]!=op),None)\r\n reject('recipe: recipe of another warp class',product_ok(*key,by[other]['left']) if other else False)\r\n reject('recipe: swapped from/to frames',product_ok(sign,op,f1,f0,left))\r\n # a class missing from the recipe file\r\n try:\r\n miss=copy.copy(by);miss.pop(key);assert set(miss)==used\r\n except AssertionError:controls.append('recipe: missing warp class')\r\n else:raise AssertionError('missing class accepted')\r\n reject('logical: wrong G',logical_ok(op,res_all['warps'][str(op)]['K'],G=G2))\r\n reject('logical: wrong phase',logical_ok(op,dict(res_all['warps'][str(op)]['K'],phase=(res_all['warps'][str(op)]['K']['phase']+1)%4)))\r\nout=dict(status='PASS_WARP_RECIPES_EXACT_ON_ALL_512_COLUMNS',canonical_word_sha256=hashlib.sha256((OUT/'CANONICAL-WORD.json.gz').read_bytes()).hexdigest(),\r\n recipe_sha256=hashlib.sha256((OUT/'CLIFFORD-RECIPES.json').read_bytes()).hexdigest(),warp_classes=len(by),operators=len(c.get('warps',[])),\r\n columns_each=1<>i&1:out^=col\r\n return out\r\ndef f2rank(xs):\r\n b={}\r\n for x in xs:\r\n while x:\r\n i=x.bit_length()\r\n if i not in b:b[i]=x;break\r\n x^=b[i]\r\n return len(b)\r\ndef extend(xs,hh):\r\n out=list(xs)\r\n for i in range(hh):\r\n if f2rank(out+[1<len(out):out.append(1<>i)&1)<>i&1)==(M[i]>>j&1) for i in range(hh) for j in range(hh))\r\n permv=np.array([lin(cols,x) for x in range(1<>i)&1)*(x>>i&1) for i in range(hh))+\r\n 2*sum(((M[j]>>i)&1)*(x>>i&1)*(x>>j&1) for i in range(hh) for j in range(i+1,hh))\r\n for x in permv],dtype=np.int64)%4\r\n return permv,phase\r\ndef apply_mono(z,recipe,sign=1):\r\n re,im,exp=z;perm,phase=recipe;rr=np.empty_like(re);ii=np.empty_like(im)\r\n if sign==1:\r\n for p in range(4):\r\n mask=phase==p;r=re[mask];i=im[mask]\r\n if p==0:a,b=r,i\r\n elif p==1:a,b=-i,r\r\n elif p==2:a,b=-r,-i\r\n else:a,b=i,-r\r\n rr[perm[mask]]=a;ii[perm[mask]]=b\r\n else:\r\n r=re[perm];i=im[perm]\r\n for p in range(4):\r\n mask=phase==p\r\n if p==0:a,b=r[mask],i[mask]\r\n elif p==1:a,b=i[mask],-r[mask]\r\n elif p==2:a,b=-r[mask],-i[mask]\r\n else:a,b=-i[mask],r[mask]\r\n rr[mask]=a;ii[mask]=b\r\n return rr,ii,exp\r\ndef coord(z,axes,sign=1):\r\n re,im,exp=z\r\n for j in axes:\r\n p=np.array([x for x in range(len(re)) if not(x>>j&1)]);q=p^(1<0 else -1);return frame(z,E,hh,1)\r\ndef recipe_matrix(rec,hh):\r\n \"\"\"Dense exact matrix (re, im, exp=0) of a serialized clifford_exact monomial (matrix_rows, quadratic_rows, linear_Z4, offset, phase):\r\n |x> -> i^(qvalue(x)+phase) |G x ^ offset>, qvalue = sum alpha_i x_i + 2 sum_{i in x} parity((Q_i >> (i+1)) & (x >> (i+1))).\"\"\"\r\n N=1<>i&1)+2*sum(((Q[i]>>(i+1))&(x>>(i+1))).bit_count()&1 for i in range(hh) if x>>i&1)+ph)%4\r\n re[y,x],im[y,x]=unit[q]\r\n return re,im,0\r\ndef equal_scaled(z,m):\r\n \"\"\"z (scaled by 2^exp) equals m (exp 0) entrywise exactly\"\"\"\r\n re,im,exp=z;return bool(np.array_equal(re,m[0]<0 else K.adjoint()\r\n op=ops[f0].adjoint().then(Ks).then(ops[f1]);rec,compiled=lower_child(op)\r\n assert rec['rank']==0 and rec['right'] is None,('warp is not a monomial Clifford',sign,op_id,f0,f1)\r\n Z=bw_gauss.warp_product(G,frames[f0],frames[f1],sign*op_id,n)\r\n assert bw_gauss.equal_scaled(Z,bw_gauss.recipe_matrix(rec['left'],n)),('recipe differs from the exact column product',sign,op_id,f0,f1)\r\n hist['warp']+=1;warps.append({'sign':sign,'op':op_id,'old':f0,'new':f1,'G_columns':G,**rec})\r\nraw=json.dumps({'children':recipes,'endpoint_adapters':adapters,'warps':warps},sort_keys=True,separators=(',',':')).encode()\r\n(OUT/'CLIFFORD-RECIPES.json').write_bytes(raw)\r\nresult={'status':'PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES',\r\n 'canonical_word_sha256':hashlib.sha256(P.read_bytes()).hexdigest(),\r\n 'frames':len(frames),'directed_edges':len(edges),'ranks':{str(k):x for k,x in hist.items()},\r\n 'endpoint_adapters':len(adapters),'warp_recipes':len(warps),'warp_recipes_rank_zero':all(w['rank']==0 for w in warps),\r\n 'warp_recipes_equal_exact_512_column_product':True,\r\n 'all_child_equalities_include_global_phase':True,\r\n 'recipe_sha256':hashlib.sha256(raw).hexdigest(),'seconds':time.monotonic()-start,\r\n 'scope':'Every local frame, centre transition and warp. Expanded scalar-interface integration and global emitted program are separate obligations.'}\r\n(OUT/'CLIFFORD-REVIEW.json').write_text(json.dumps(result,indent=2)+'\\n')\r\nprint('PASS exact local phases',result['seconds'],'seconds',flush=True)\r\n" + }, + "isError": false + } +} diff --git a/research/raw-selected-centre-units/validation/pr2588-readback/directory-0.json b/research/raw-selected-centre-units/validation/pr2588-readback/directory-0.json new file mode 100644 index 0000000000..c128430396 --- /dev/null +++ b/research/raw-selected-centre-units/validation/pr2588-readback/directory-0.json @@ -0,0 +1,165 @@ +{ + "query_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/contents/research/gmx-t74-borrow43-handoff/new/code/borrow?ref=8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb", + "entries": [ + { + "name": "NOTICE-PR2226.md", + "path": "research/gmx-t74-borrow43-handoff/new/code/borrow/NOTICE-PR2226.md", + "sha": "a14b299ef55c5581166988aa78baba329cebde04", + "size": 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