From 75a28b8fcca0fee100af6e56f686580979218574 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Thu, 22 Oct 2026 13:14:14 -0500 Subject: [PATCH 1/2] Add exact centre-entry, rational-code, and retained-reader services --- research/centre-code-services/CHECKS.json | 9 + research/centre-code-services/NOTICE.md | 48 + .../PACKAGE-MANIFEST.json | 1385 + research/centre-code-services/PROOFS.md | 24 + research/centre-code-services/PROVENANCE.md | 79 + research/centre-code-services/README.md | 272 + .../REFERENCE-MANIFEST.json | 60 + .../centre-code-services/SOURCE-MANIFEST.json | 1599 + .../evidence/DOCUMENT-LINKS.json | 316 + .../evidence/FIXED-READER-JOIN-CLOSURE.json | 669 + .../evidence/NATIVE-SOURCE-VERIFICATION.json | 90 + .../PR2226-PRIOR-SOURCE-READBACK.json | 63 + .../PROVIDER-NOTICE-VERIFICATION.json | 24 + .../centre-code-services/evidence/REPLAY.json | 271 + .../evidence/SELECTED-CONTEXT.json | 91 + 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"centre_constants": "lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/check_review.py", + "clique_grid": "lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/check_review.py", + "fixed_reader_services": "lanes/bridge-review-20261017/fixed-reader-service-review-20261020/check_service.py", + "moving_entry": "lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py", + "phase_inverse": "lanes/bridge-review-20261017/rank30-phase-section-review-20261020/check_phase_section.py", + "unnormalised_code": "lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py" +} diff --git a/research/centre-code-services/NOTICE.md b/research/centre-code-services/NOTICE.md new file mode 100644 index 0000000000..c4c3f6d133 --- /dev/null +++ b/research/centre-code-services/NOTICE.md @@ -0,0 +1,48 @@ +# Notice + +The new campaign and wrapper contributions use the repository's Apache-2.0 +license. A copy is in [notices/LICENSE](notices/LICENSE). Frozen source +text and existing attribution are unchanged. Substantial OpenAI Codex +assistance was used for constructions, proofs, independent agent checks, +and this publication package. + +The retained common-grid source is +[stopped-product-complex.tex](notices/stopped-product-complex.tex), from +CrocSwap/integer-mult-bounds at `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. +Its Git blob is `4a9037137cd3158dbeca6d9e3b1881a599ebfcb5`; its SHA256 is +`4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a`. +The [upstream notice](notices/UPSTREAM-NOTICE) credits icekylinx for the +stopped product-ring construction and exact denominator grid, with GPT-6 +Astra and Codex assistance. The rational services retain that method as +a dependency. Their new local contributions are the actual code words, +image tests, and conditional matching-type extension. + +The actual native core descends from +[PR #3133](https://github.com/CrocSwap/integer-mult-bounds/pull/3133), at +`51eb9c4ee9e4722010d308aa3309e039d3940cc2`. The base and extra provider +words descend from +[PR #3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), at +`f2927a4b8afcf0701a6b945e14f30de1d94f5176`. The retained +[notice](notices/PR3133-NOTICE) and [credit record](notices/PR3133-CREDITS.md) +credit dcharb78 for the coupled folds and preserve the earlier lineage. +The exact PR #3148 README credits Jeremy Diviney for the packing exchange, +integration, and verification. These inherited cores are not new work here. + +The native recipe lineage uses +[PR #2588](https://github.com/CrocSwap/integer-mult-bounds/pull/2588), at +`8cd9dc88e24f062e2ca2fa7f4844a3d3319381fb`. Its +[notice](notices/PR2588-NOTICE) credits Cinna Davis for the dirty-borrowing +method, Rohan Arun for the new package work, and Jeremy Kothe and the +named predecessors for retained methods. For [PR #2226](https://github.com/CrocSwap/integer-mult-bounds/pull/2226), +the exact referenced [dependency notice](notices/NOTICE-PR2226.md) and +[vendored notice](notices/PR2226-NOTICE.md) are also retained. +The [exact notice readback](evidence/PR2226-PRIOR-SOURCE-READBACK.json) is +retained unchanged as prior-source evidence. Its package-context hashes +refer to the encoder notice addendum, not to this services package. +No compiler author is inferred from a submitter account. + +The [source readback](evidence/NATIVE-SOURCE-VERIFICATION.json) and +[provider notice readback](evidence/PROVIDER-NOTICE-VERIFICATION.json) +record the immutable GitHub source and notice checks. The package +manifest pins all retained notices. 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No complete supplier or kappa claim." +} diff --git a/research/centre-code-services/PROOFS.md b/research/centre-code-services/PROOFS.md new file mode 100644 index 0000000000..7fd1f9af79 --- /dev/null +++ b/research/centre-code-services/PROOFS.md @@ -0,0 +1,24 @@ +# Proof and review index + +Use each original proof with its review and its stated limits. Source files +under `frozen/` are unchanged. Historical publication-status text records +the status at that freeze; it is not the status of this authorised package. + +| Result | Proof | Independent review and receipt | +| --- | --- | --- | +| Moving section, square code, phase cycle | [Root theorem](frozen/root/MOVING-CENTRE-CODE-20261020.md), [actual square section](frozen/lanes/coherent-port/section-entry-20261020/SECTION.md) | [Review](frozen/lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md), [required qualifications](frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.md), [checks](frozen/lanes/bridge-review-20261017/moving-code-review-20261020/CHECKS.json) | +| Fixed-reader phase inverse | [Root theorem](frozen/root/RANK30-PHASE-SECTION-20261020.md) | [Review](frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/REVIEW.md), [checks](frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/CHECKS.json) | +| Actual B and H scalar words; independent rank-16 frames | [Constant services](frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md) | [Review](frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/REVIEW.md), [checks](frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/CHECKS.json) | +| Rank-16 response code and exact grid | [Code and scans](frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md), [conditional whole-state types](frozen/lanes/native-escape-20261017/rational-code-admission-20261020/TYPED-CODE-POTENTIAL.md) | [Review](frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/REVIEW.md), [checks](frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/CHECKS.json) | +| Rank-30 image and syndrome quotient | [Unnormalised code](frozen/lanes/native-escape-20261017/rational-code-admission-20261020/UNNORMALISED-CODE.md) | [Review](frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/REVIEW.md), [checks](frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/CHECKS.json) | +| Literal rank-30 capture and complete scalar chains | [Capture word](frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD.md) | [Review](frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/REVIEW.md), [checks](frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/CHECKS.json) | +| Six joined forward D25 services | [Independent join proof](frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REVIEW.md) | [Checks](frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/normal/REVIEW-CHECKS.json), [earlier query proof](frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REVIEW.md), [inherited native phase review](frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REVIEW.md) | + +The retained [fixed-odd scan proof](frozen/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md) +supplies the scan method. This package uses that method as a dependency. +It does not claim the full A8 component as a new result here. + +The [fresh replay receipt](evidence/REPLAY.json) records the checker hashes, +source manifest hash, modes, timings, and comparison methods. The original +freeze files remain beside each reviewed result. The wrapper retains all +freeze members needed by the selected seven checks. diff --git a/research/centre-code-services/PROVENANCE.md b/research/centre-code-services/PROVENANCE.md new file mode 100644 index 0000000000..1153640ea8 --- /dev/null +++ b/research/centre-code-services/PROVENANCE.md @@ -0,0 +1,79 @@ +# Source and validation record + +The source is the `centre-encoding-campaign-20261014` campaign. The 170 runtime and proof +inputs under `frozen/` are exact copies. [SOURCE-MANIFEST.json](SOURCE-MANIFEST.json) +records their original paths, reasons, sizes, SHA256 values, and compressed +payload hashes. This is the selected proof and checker closure. It does +not include every lane or every producer experiment. Eight additional linked +historical freeze records are exact copies listed in +[REFERENCE-MANIFEST.json](REFERENCE-MANIFEST.json). These source records +supply attribution and context; their archived suites are not rerun. + +All seven exact checker files are unchanged. Six local service checks +import no producer code. The D25 joined-service check imports one pinned +independent mathematical helper. It checks the original native phase +source bytes and their 35-file input record; it does not repeat the old +4194304-coefficient spatial interpreter. The separately assembled +[90-file join closure](evidence/FIXED-READER-JOIN-CLOSURE.json) is fully +contained in this package with equal hashes. + +The new runner uses a fresh copied source tree for the two checkers that +write beside their source. It saves the outputs and removes only that +new temporary copy. Other checkers use their existing output-directory +argument. No checker path, arithmetic, import, phase, endpoint, or price +logic is patched. + +Old result JSON records contain absolute source paths. The runner maps +only registered values of fields named `path` to the matching package +path. Unknown paths fail. It then compares every JSON value with the +frozen receipt. This is not a claim that raw receipt bytes with different +absolute paths are equal. Program outputs are compared byte for byte +after decompression. Both Python modes must give equal canonical results. +The file-access audit allows only the package, output tree, and Python +runtime; it is a reproducibility check, not a security sandbox. + +The [fresh receipt](evidence/REPLAY.json) records fourteen sequential +checks with Python 3.14.7 on macOS arm64. Their measured total was 32.025 +seconds. All checks passed. All 170 source files retained their hashes. +The retained normal and optimized outputs, canonical comparisons, logs, +and file-access records are under `evidence/replay/`. No archived producer +emitter, complete native spatial phase suite, selected frontier, complete +recursive supplier, or Lean formalization was rerun. + +The publication context was checked on 2026-10-22 against upstream main +`b58ad9ef4d4e861b0eaa5dba41742bdc072dca51`. Its selected record names +[PR #4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470), with +conditional kappa 60403/20000000 = 0.00302015. The +[exact context record](evidence/SELECTED-CONTEXT.json) is retained. These +historical local constructions are not inputs to that selected record. +This package does not transplant them into it or change its complete cost. + +## Contribution boundaries + +The coherent-port lane supplied the corrected reader and square section. +The new-core-transfer lane supplied the actual low-displacement responses, +pivot code, native prefix, and joined payload. The native-escape lane +supplied the actual B and H services, rational code words, syndromes, +fixed-odd contracts, and conditional type theorem. Its owner-review lane +checked these local constructions with separate exact engines. The root +supplied the phase inverse certificate and finite moving-code cycle. +The bridge-review lane checked the inverse certificate, moving section, +entry words, and proof qualifications. + +For the D25 join, bridge-access supplied the actual dispatcher and reader +query, the controller lane supplied row capture, and new-native-recipes +supplied the inherited local phase review. Bridge-review checked the new +join, phases, owner routes, arbitrary inputs, and invoice. The fresh +package replay repeats those exact independent checks. + +The reciprocal-native-responses package owns the raw response and coded +exit results. The centre-metric-encoders package owns the sharp unitary +coordinate bound, signed metric encoder, and rational-unitary C16 packing. +This package uses pinned source inputs and preserves its own complete +checker closure. It does not need a moving PR dependency on either packet. +Its rational E code is not that unitary C16. Its fixed-reader native join +is also distinct from the six scalar and moving-code services. + +[NOTICE.md](NOTICE.md) records external sources and contributor credit. +Substantial OpenAI Codex assistance was used. The local freeze does not +perform publication, GitHub link verification, or rendered PR checks. diff --git a/research/centre-code-services/README.md b/research/centre-code-services/README.md new file mode 100644 index 0000000000..3393f9c0c6 --- /dev/null +++ b/research/centre-code-services/README.md @@ -0,0 +1,272 @@ +# Centre entry, code, and reuse services + +This package supplies exact local services for two actual centre responses. +It gives a moving entry swap, a square code on the existing data fields, +rational capture and decode words, and exact tests for legal code transitions. +It also gives six joined D25 forward services that use a retained earlier +reader. The fixed-reader phase inverse is retained as a separate useful +construction when that reader must stay fixed. + +These are component constructions and enabling proofs. They do not improve +the complete kappa calculation. A complete routed caller, helper host, +terminal code removal, finite address-map price, and recursive precision +bound remain separate obligations. Read the [proof index](PROOFS.md), +[source record](PROVENANCE.md), and [fresh replay](evidence/REPLAY.json). + +## Moving entry and two different storage contracts + +Write the actual response as E=I+UV, with B=VU invertible. Put H=I+B, +Q^4=I, and L=Q^2. The actual L fields are simultaneous translations. +The corrected entry uses + +```text +J_in = L U, D_in = B^-1 V L, D_in J_in = I. +``` + +For arbitrary data a and an arbitrary separate centre bank z, the ordered +word a+=J_in z; z-=D_in a; a+=J_in z; z=-z gives + +```text +S_in(a,z) = ((I-J_in D_in)a + J_in z, D_in a). +``` + +This map is an involution. One use stores the old z in the data. It does +not clear z or restore its prior value. Two consecutive uses restore all +inputs. This entry uses a separate bank of 30 or 16 centre fields. + +The complete paid entry words use two passes of L on the 112 data fields: + +| Separate-bank entry | Real dyadic primitives | Translation calls | Additional real odd scans | +| --- | ---: | ---: | --- | +| Rank 30 | 5076 | 224 | 22 multiplications and 22 divisions at each of 3 and 5 | +| Rank 16 | 4448 | 224 | 16 multiplications and 16 divisions at 3 | + +Both words have exact stored opcode-prefix row norm 12. The odd-height +bound is one at each listed prime. These are opcode-boundary bounds; +they do not include the internal implementation of a dyadic ADD or a +recursive child. Translation calls need their finite map price. + +A different square code uses only the existing 112 data fields. If a +selected row minor U_P is invertible, with complement R, set + +```text +C0 a = (B^-1 V a, a_R - U_R U_P^-1 a_P). +``` + +The explicit inverse in the proof gives C0 E C0^-1=diag(H,I). The actual +rank-30 minor has determinant -1/256 and an integral inverse. The actual +rank-16 pivot code uses another complement and an unnormalised reader; +it is a different square code. The moving review checks both matrices +and both inverse orders on all 112 data columns. The separate-bank entry +invoice above is not a price for either square code. + +The unnormalised sum-code variant is dyadic when U, V, and U_P^-1 are +all dyadic. The minor condition alone is insufficient. Both actual +source factors satisfy these premises. This qualification is part of +the retained [root-proof addendum](frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.md). + +## Transport and the output code + +Assume the actual data advance is A=F Q^-1. The common F must commute +with Q and with the scalar maps. Then + +```text +J_out = Q U, D_out = B^-1 V Q^-1, +Q E Q^-1 = I + J_out B D_out. +``` + +For any scalar C with C E C^-1=K, its code moves in the exact order + +```text +C Q^2 -> Q^-1 C Q^-1 -> Q^2 C -> Q C Q -> C Q^2. +``` + +Successive F operators may differ, but each must commute with C and Q. +An opposite-sign advance can return the first output code directly to +C Q^2 under the same premises. A routed port-dependent advance must pass +the actual test C_(p,r)(F_p-F_r)=0, or supply a proved connecting operator. +Nominal frame labels do not prove this relation. + +For rank 16, K has eight entries -5, eight entries -7, and 96 entries 1. +Its centre action uses existing pivot fields and commutes with arbitrary +independent linear frames on those fields. Each diagonal H direction +costs 32 old real scalar units plus 16 real odd scans at each of 5 and 7. +Forward scans multiply; inverse scans divide. This service does not +create or admit its input fields. + +The encoded output remains Q^-1 C Q^-1. A raw exit requires the ordered +decode Q C^-1 Q. The complete physical cross-bank native calls also keep +their extra odd phase. An interleaved caller, borrowed restoration, and +productive helper advance need full endpoint proofs. The four-step cycle +does not remove a final code at an odd cut. + +## Rational whole-bank and capture services + +The rank-16 signed clique response in this package is a whole-bank code E. +It is distinct from the rational-unitary packing C16 in the centre-metric +encoder package. In its signed pair coordinates, + +```text +E = I - sum_large(w w^T / 2) - sum_small(w w^T), +E^-1 = I - sum_large(w w^T / 10) - sum_small(w w^T / 7). +``` + +The eight large rows have squared norm 12; the eight small rows have +squared norm 8. They are mutually orthogonal. The eigenvalues are 1 on +96 dimensions, -5 on eight, and -7 on eight. Each direction costs 3420 +real dyadic primitives plus 32 real fixed-odd scans. The forward scans +multiply by 5 or 7; the inverse scans divide. Exact local row norms are +20 forward and 18 inverse. The inverse has odd height one at 5 and 7. +Its valid-image inverse works without odd root scaling. Generic inputs +still require the exact grid. + +For rank 30, the unnormalised code Csum stores V a on 30 selected ports +and a complement on the other 82. Its complete literal capture and inverse +each cost 2910 old real scalar units plus 22 real scans at 3 and 22 at 5. +The complete capture, G0 or G0^-1 action, and decode costs 6090 old units, +plus 22 real multiplications and 22 real divisions at each prime. These +words act on 640 arbitrary input columns and leave 528 outside roles fixed. +They require a common linear frame. No physical native capture is inferred. + +Let R0=Z[i,1/2]. The exact image of Csum has quotient + +```text +(R0 / 3 R0)^11 direct-sum (R0 / 5 R0)^11. +``` + +The proof supplies all 22 syndromes and explicit right inverses. The +rank-16 image has eight syndromes at 5 and eight at 7. A complete middle +operation M preserves the relevant code precisely when its full matrix +satisfies L_p M = S_p L_p modulo each prime. The test includes helper +columns and any array or owner coordinates. In particular, R0/5R0 splits +as two copies of F5; it is not the field F25. + +The rank-30 G0 and G0^-1 actions preserve the image. Their capture/decode +chains have exact divisions with no odd root scale. An arbitrary ADD can +leave the code: the checker rejects both a data ADD and a helper-to-data +ADD that violate the syndromes. Local prefix bounds and generic grid +scales are in the exact receipts. The fixed-odd scan cost is additional +to the old scalar count, and descriptor work remains separately priced. + +## Conditional composition theorem + +A whole-state type declares stored state C u on every data, borrowed, +and live numeric work role. If each completed operation has endpoint +C_out A C_in^-1 with a Gaussian-dyadic semantic A, adjacent matching codes +cancel in their stated order. No commutation is needed. A common divisor +in two unrelated code matrices does not establish such a transition. + +Under the explicit local-prefix and decoded-child-entry bounds in the +proof, recursive depth D gives odd height at most (D+1) ell_p+c_p. +Completed siblings do not add a term. The root must have identity type +or a paid initial encoding; every child entry needs its own decoded-input +bound. The final physical endpoint must be dyadic for exact unscaling, +and a required raw result must include paid removal of the final code. +This conditional theorem extends the retained common-grid method. No +current complete caller is claimed to satisfy all its premises. + +## Six retained-reader D25 services + +Both actual providers pass for the pairs (s,t)=(0,1),(0,2),(1,2). Here s +labels the retained reader; physical input progress is t-1. Pair (0,2) +therefore starts at physical level one, not zero. Put G=diag(I_P,q_R), +and let F_t be FULL on the first 9+8t axes. With the actual routed E_t, +set (A_s,t)_P=L_s E_t and (A_s,t)_R=(E_t)_R. The exact forward service is + +```text +(F_(t-1) x, F_(t-1) G w) -> (F_t x, F_t G (w + A_s,t x)). +``` + +The bank w is arbitrary. Each service checks all 640 input columns and +keeps the 416 outside contents fixed. The native prefix costs 6456 real +scalar primitives; the late query costs 11168. The total is 17624, with +profile 1392 H1+64 H2+48 H3+16 H8, 1520 children, and rank mass 1792. +The complete monomial call bound is 5776: 448 DATA maps, 224 endpoint +adapters, 3040 native side maps, and 2064 late-query maps. No extra field +or odd division is introduced by the join. + +Each body uses the inherited typed helper supply and restoration +contract. The DATA partition does not construct that helper host. +The full regular cover must complete before the global query. A per-body +query needs another source-availability proof. The exact content bounds +are 22 and binary height one for the prefix, and 448 and height two for +the query. These do not include internal native-child precision. + +The fresh join replay checks all 35 consumed phase-source hashes and +keeps every inherited prefix, adapter, and phase record unchanged. It +checks the new DATA phase equations and routed query. It does not repeat +the earlier 4194304-coefficient spatial phase interpreter. A separately +packaged complete backward native service is not supplied. + +## Fixed-reader phase inverse appendix + +For the earlier fixed reader, T=V Q^2 U has an exact inverse at every +positive tensor width. Its physical translation kernel has 2712 terms, common +denominator 120, and infinity norm 88/5. Odd denominator factors 3 and 5 +are necessary. The 512-character certificate proves the all-width result +because simultaneous translations depend only on the XOR of frequencies. +The review verifies both certificate product orders, not a second +independent inversion algorithm. + +The complete fixed-reader section swap costs 208028 dyadic real primitives, +12072 translation calls, and 60 real multiplication-by-15 scans plus 60 +real division-by-15 scans. It uses a separate arbitrary centre bank. +At physical input Qx it reads T^-1 VQx, whereas the earlier terminal needs +VQ^-1. In the older proof, QU is a section of the normalised reader +T^-1 VQ; it is not a section of VQ itself. The moving construction changes +the reader to remove this mismatch. The fixed-reader inverse remains +useful when that change is unavailable. + +## Reproduction + +Use Python 3.11 or later, the standard library, at least 3 GiB of free +disk, and a new output directory. No network access is needed. + +```sh +python3 -I -B replay.py --output /tmp/centre-code-services-replay +``` + +Expected final output: + +```text +PASS_CENTRE_CODE_SERVICES +``` + +The runner executes seven checks in normal and optimized Python, one +process at a time. All original checker bytes stay unchanged. Two old +checkers write beside their sources, so the runner uses fresh copies and +saves their outputs before it removes those temporary copies. It compares +compressed outputs after decompression. In JSON receipts it changes only +registered source-path values to package-relative paths, then compares +all values with the frozen receipt. It checks every frozen source hash +before and after execution. The file-access audit checks that inputs come +from this package, the fresh output, or the Python runtime. It is a +reproducibility check, not a security sandbox. + +The checks include arbitrary-state swap restoration, both code inverse +orders, exact division domains, syndrome failures, mismatched repeated +codes, and wrong DATA phase order. No archived producer emitter, complete +native spatial phase suite, selected frontier, complete recursive supplier, +or Lean formalization was rerun. + +## Open next questions + +A moving-code caller must bind every routed advance and interleaved +cross-bank operation to its full input and output code. Start with the +actual three-call chronology and its final odd cut. Supply the ordered +final decode and restoration of all borrowed values. + +A rational capture caller must prove each complete middle operation +preserves the image, including helper columns and address mixing. The +syndrome equations and their failed-ADD controls are a direct starting +point. A shared list of odd primes is not a transition proof. + +The joined D25 forward service needs a complete inherited helper host +and finite map prices before it can enter a supplier invoice. A backward +native service needs its own literal word and full arbitrary-input check; +the abstract inverse-adjoint identity alone does not supply that word. + +A recursive rational implementation must prove its decoded child-entry +and internal-prefix bounds for the actual caller. The conditional type +theorem supplies the required statement and a height bound once those +premises hold. 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b/research/centre-code-services/evidence/replay/phase_inverse/optimized/FILE-ACCESS.json @@ -0,0 +1,10 @@ +[ + "output/source/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "output/source/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/CHECKS.json", + "output/source/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/PHASE-SECTION-PROGRAM.json.gz", + "output/source/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/check_phase_section.py", + "output/source/lanes/history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "output/source/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "output/source/root/RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz", + "output/source/root/RANK30-PHASE-SECTION-CHECKS-20261020.json" +] diff --git 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The emitted inverse is the same group-algebra element at every width.", + "character_count": 512, + "checker_sha256": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010", + "complete_swap_dyadic_primitives": 208028, + "complete_swap_odd_scans": { + "complex_divide15": 30, + "complex_multiply15": 30 + }, + "complete_swap_translation_maps": 12072, + "inverse_character_common_denominator": 60, + "inverse_character_row_norm": "53/5", + "inverse_kernel": { + "coefficients_per_row": [ + 150, + 160, + 160, + 160, + 160, + 160, + 154, + 160, + 160, + 160, + 160, + 160, + 150, + 160, + 150, + 160, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 4, + 4, + 4, + 16, + 16 + ], + "common_denominator": 120, + "denominator_witnesses": { + "2": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + }, + "3": { + "coefficient": "-1/30", + "input": 0, + "output": 0, + "translation": 16 + }, + "5": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + } + }, + "exact_physical_infinity_norm": "88/5", + "nonzero_coefficients": 2712, + "norm_maximizing_rows": [ + 5 + ] + }, + "large_block_dimension": 16, + "odd_denominator_character_witnesses": { + "3": { + "chi": 0, + "coefficient": "-1/3", + "column": 0, + "row": 0 + }, + "5": { + "chi": 0, + "coefficient": "-1/5", + "column": 16, + "row": 16 + } + }, + "program_decompressed_sha256": "1e281c1a83cc22897afba6df32d707a6698184bac348fc4f2c9cd3a8a55b6c55", + "scalar_blocks": 14, + "scope": "All-width algebra and a true additive physical query lowering with explicit odd-scan obligations. No complete recursive finite invoice or caller cohort is assumed.", + "source_pins": { + "actual_data_views": { + "decompressed": false, + "path": "frozen/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "sha256": "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + }, + "directions": { + "decompressed": true, + "path": "frozen/lanes/history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "sha256": "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5" + }, + "inverse_certificate": { + "decompressed": true, + "path": "frozen/root/RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz", + "sha256": "91b546da328fbf4a58b9fbf92c5851ec7a66402d3c2bcf7a52ce3e1533052bc8" + }, + "response": { + "decompressed": false, + "path": "frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "root_receipt": { + "decompressed": false, + "path": "frozen/root/RANK30-PHASE-SECTION-CHECKS-20261020.json", + "sha256": "04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7" + } + }, + "status": "PASS_INDEPENDENT_RANK30_PHASE_SECTION", + "swap": { + "endpoint": [ + "(I-JD)a+Jz", + "Da" + ], + "physical_input_query": "T^-1 V Q x", + "single_application_restores_z": false, + "square_is_identity": true + } +} diff --git a/research/centre-code-services/evidence/replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json b/research/centre-code-services/evidence/replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json new file mode 100644 index 0000000000..d4ec4db45c --- /dev/null +++ b/research/centre-code-services/evidence/replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json @@ -0,0 +1 @@ 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936, 924, 902, 936, 930, 930, 930, 930, 886, 936, 890, 936, 80, 80, 80, 80, 80, 80, 80, 80, 80, 12, 12, 12, 80, 80], "common_denominator": 120, "denominator_witnesses": {"2": {"coefficient": "1/20", "input": 0, "output": 0, "translation": 11}, "3": {"coefficient": "1/30", "input": 0, "output": 0, "translation": 16}, "5": {"coefficient": "1/20", "input": 0, "output": 0, "translation": 11}}, "exact_physical_infinity_norm": "1666/15", "nonzero_coefficients": 15688, "norm_maximizing_rows": [5]}, "complete_swap_dyadic_primitives": 208028, "complete_swap_translation_maps": 12072, "inverse_kernel": {"coefficients_per_row": [150, 160, 160, 160, 160, 160, 154, 160, 160, 160, 160, 160, 150, 160, 150, 160, 16, 16, 16, 16, 16, 16, 16, 16, 16, 4, 4, 4, 16, 16], "common_denominator": 120, "denominator_witnesses": {"2": {"coefficient": "-1/20", "input": 0, "output": 0, "translation": 11}, "3": {"coefficient": "-1/30", "input": 0, "output": 0, "translation": 16}, "5": {"coefficient": "-1/20", "input": 0, "output": 0, "translation": 11}}, "exact_physical_infinity_norm": "88/5", "nonzero_coefficients": 2712, "norm_maximizing_rows": [5]}} diff --git a/research/centre-code-services/evidence/replay/unnormalised_code/normal/FILE-ACCESS.json b/research/centre-code-services/evidence/replay/unnormalised_code/normal/FILE-ACCESS.json new file mode 100644 index 0000000000..96fa42f409 --- /dev/null +++ b/research/centre-code-services/evidence/replay/unnormalised_code/normal/FILE-ACCESS.json @@ -0,0 +1,15 @@ +[ + "output/result/CHECKS.json", + "output/result/SOURCE-MANIFEST.json", + "package/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json", + "package/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json", + "package/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/UNNORMALISED-CODE.md", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-optimized/CHECKS.json", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-optimized/UNNORMALISED-CODE.json", + "package/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json" +] diff --git a/research/centre-code-services/evidence/replay/unnormalised_code/normal/canonical/CHECKS.json b/research/centre-code-services/evidence/replay/unnormalised_code/normal/canonical/CHECKS.json new file mode 100644 index 0000000000..9322342e35 --- /dev/null +++ b/research/centre-code-services/evidence/replay/unnormalised_code/normal/canonical/CHECKS.json @@ -0,0 +1,166 @@ +{ + "gaussian_mod5": { + "elements": 25, + "isomorphism": "a+ib -> (a+2b,a-2b) in F5 x F5", + "operation_pairs": 625 + }, + "matrix_checks": { + "B0_blocks": { + "minus_five": 11, + "minus_three": 3, + "two_by_two": 8 + }, + "both_capture_inverse_orders": true, + "both_response_conjugacies": true, + "both_response_inverse_orders": true, + "capture_binary_height": 1, + "data_columns": 112, + "minor_determinant": "-1/256", + "minor_inverse_integral": true + }, + "negative_controls": { + "arbitrary_helper": { + "data_block": "identity", + "helper_value": 1, + "mod5_syndrome": 1, + "target": 5 + }, + "unit_add": { + "invalid_pair": [ + 2, + 1 + ], + "mod3_syndrome": 1, + "source": 27, + "target": 0, + 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"PASS_INDEPENDENT_UNNORMALISED_CODE_REVIEW", + "syndromes": { + "3": { + "both_response_quotient_actions": "identity", + "capture_rank_over_Fp": 101, + "integral_right_inverse": true, + "right_inverse_ports": [ + 0, + 9, + 11, + 20, + 37, + 41, + 76, + 78, + 18, + 19, + 39 + ], + "rows": 11 + }, + "5": { + "both_response_quotient_actions": "identity", + "capture_rank_over_Fp": 101, + "integral_right_inverse": true, + "right_inverse_ports": [ + 5, + 3, + 24, + 23, + 1, + 8, + 29, + 26, + 4, + 6, + 31 + ], + "rows": 11 + } + }, + "valid_constant_inverse_prefixes": { + "B0_parameter": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "5" + }, + "H": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "38" + }, + "H_inverse": { + "binary_height": 2, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "28" + }, + "identity": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "10" + } + } +} diff --git a/research/centre-code-services/evidence/replay/unnormalised_code/optimized/canonical/SOURCE-MANIFEST.json b/research/centre-code-services/evidence/replay/unnormalised_code/optimized/canonical/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..f191e0e379 --- /dev/null +++ b/research/centre-code-services/evidence/replay/unnormalised_code/optimized/canonical/SOURCE-MANIFEST.json @@ -0,0 +1,42 @@ +{ + "checker": { + "bytes": 7958, + "path": "frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py", + "sha256": "8f4dd74601bb40248bc642469256679361c4841aa496fe907682f3beb405c043" + }, + "constant_review": { + "bytes": 886, + "path": "frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json", + "sha256": "36195b052b3cf2e989b02070be09881de9cdf9d8e3f84ff325f3f3fd18710d00" + }, + 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"both_capture_inverse_orders": true, + "both_response_conjugacies": true, + "both_response_inverse_orders": true, + "capture_binary_height": 1, + "data_columns": 112, + "minor_determinant": "-1/256", + "minor_inverse_integral": true + }, + "negative_controls": { + "arbitrary_helper": { + "data_block": "identity", + "helper_value": 1, + "mod5_syndrome": 1, + "target": 5 + }, + "unit_add": { + "invalid_pair": [ + 2, + 1 + ], + "mod3_syndrome": 1, + "source": 27, + "target": 0, + "valid_centre_pair": [ + 1, + 1 + ] + } + }, + "preserved_source_bytes": true, + "producer_normal_optimized_equal": true, + "scope": "Exact scalar code and full-role dyadic image criterion. 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"/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/publication-wrap-20261022/packages/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "section": { + "bytes": 52433, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/publication-wrap-20261022/packages/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json", + "sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7" + } +} diff --git a/research/centre-code-services/evidence/replay/unnormalised_code/optimized/stdout.log b/research/centre-code-services/evidence/replay/unnormalised_code/optimized/stdout.log new file mode 100644 index 0000000000..54c0a64318 --- /dev/null +++ b/research/centre-code-services/evidence/replay/unnormalised_code/optimized/stdout.log @@ -0,0 +1 @@ +PASS_INDEPENDENT_UNNORMALISED_CODE_REVIEW diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/check_bridge_access.py b/research/centre-code-services/frozen/lanes/bridge-access-20261017/check_bridge_access.py new file mode 100644 index 0000000000..5a13b62b8b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/check_bridge_access.py @@ -0,0 +1,399 @@ +"""Check future projection bridges at the actual supplier cuts.""" + +import argparse +from bisect import bisect_left +from collections import Counter, defaultdict +from fractions import Fraction +from functools import cache +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import tarfile + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent +ROOT = HERE.parents[3] +ARCHIVE = ROOT / "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz" +ARCHIVE_PIN = "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" +MEMBERS = { + "template": ("candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760"), + "phases": ("candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"), + "word": ("candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219"), +} +PINS = { + "circuit-interface/INTERFACE.json": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "cover-algebra/BRIDGES.md": "0db4e1e4589da903e50057b2d8657512c1185159a9ee18e605ad54c027c7dc80", + "interface-proof/BRIDGE-OPERATOR-REVIEW.json": "c905a19d70f34c435c5f5454c6190bbfb1ce4594b1513bf76156acf620d7c6fc", + "interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json": "8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d", +} +SELECTED = [0, 7, 20, 27, 36, 46, 57, 111] +ORDINARY = [p for p in range(112) if p not in SELECTED] +UNIT = [1 << j for j in range(73)] +ZERO = (0, 0, 0) + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def owner(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def act(columns, vector): + result = 0 + while vector: + low = vector & -vector + result ^= columns[low.bit_length() - 1] + vector ^= low + return result + + +def add_phase(a, b): + return a[0] ^ b[0], a[1] ^ b[1] ^ (a[0] & b[0]), a[2] ^ b[2] + + +def negative(a): + return a[0], a[1] ^ a[0], a[2] + + +@cache +def line(vector, exponent=1): + cross = 0 + for j in range(73): + if vector >> j & 1: + cross ^= (vector & ((1 << j) - 1)) << (j * (j - 1) // 2) + return (vector if exponent & 1 else 0, + vector if exponent & 2 else 0, cross if exponent & 1 else 0) + + +def product(terms): + result = ZERO + for vector, exponent in terms: + result = add_phase(result, line(vector, exponent % 4)) + return result + + +def canonical(q, level, side): + if level == -1: + return line(q) if side == 0 else ZERO + frame = ((1 << (9 + 8 * level)) - 1, 0, 0) + return add_phase(frame, line(q, 3)) if side else frame + + +def chart(q): + hole = next(i for i in range(9) if not q >> i & 1) + v = q ^ (1 << hole) + order = list(range(9)) + order[0], order[hole] = order[hole], order[0] + basis = [(1 << j) ^ (v if v >> j & 1 else 0) for j in order] + UNIT[9:] + need(basis[0] == q and all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(basis) for j, b in enumerate(basis)), "Actual orthogonal port chart") + return basis + + +def route(basis, stage): + columns = list(UNIT) + if stage: + swaps = [basis[j + 1] ^ UNIT[9 + 8 * (stage - 1) + j] for j in range(8)] + columns = [v ^ sum_xor(a for a in swaps if (a & v).bit_count() & 1) for v in columns] + need([act(columns, v) for v in columns] == UNIT, "Stage route is an involution") + return columns + + +def sum_xor(values): + result = 0 + for value in values: + result ^= value + return result + + +def phases_and_views(data): + views, checks, controls = {}, Counter(), Counter() + for p, recipe in enumerate(data["phases"]["recipes"]): + q, basis = recipe["q"], chart(recipe["q"]) + need(basis[1:9] == recipe["idle_children"][0]["orthogonal_axes"][:8], "Source port basis") + beta = sum((((v.bit_count() - 1) // 2) & 1) << j for j, v in enumerate(basis[1:9])) + local_beta = act(basis[1:9], beta) + for t in range(1, 9): + rho = route(basis, t) + lifted_beta = beta << (9 + 8 * (t - 1)) + delta_y = q ^ lifted_beta + delta_x = local_beta ^ lifted_beta + need(act(rho, recipe["stage_alignment"][t]["entry_Y"]) == delta_y, + "Future view has the literal supplier entry translation") + need(recipe["stage_alignment"][t]["exit_X"] == delta_x, + "Past view has the literal supplier exit translation") + for level in range(t): + terms = [(act(rho, e), 1) for e in UNIT[:9 + 8 * level]] + [(q, -1)] + actual = product(terms) + common_axes = list(range(9, 9 + 8 * level)) + list(range(9 + 8 * (t - 1), 9 + 8 * t)) + expected = product([(UNIT[j], 1) for j in common_axes]) + need(add_phase(actual, line(delta_y, 2)) == expected, "Full future-Y phase identity") + checks["future_Y"] += 1 + controls["omitted_Y_translation"] += actual != expected + controls["wrong_Y_translation_order"] += add_phase(actual, line(act(rho, delta_y), 2)) != expected + for level in range(t, 9): + actual = product([(act(rho, e), 1) for e in UNIT[:9 + 8 * level]]) + expected = canonical(q, level, 0) + need(add_phase(actual, line(delta_x, 2)) == expected, "Full past-X phase identity") + checks["past_X"] += 1 + controls["omitted_X_translation"] += actual != expected + views[p, t, "Y"] = dict(port=p, stage=t, side="Y", route_columns=rho, + translation_after_route=delta_y, translation_before_route=act(rho, delta_y)) + views[p, t, "X"] = dict(port=p, stage=t, side="X", route_columns=rho, + translation_after_route=delta_x, translation_before_route=act(rho, delta_x)) + need(checks == {"future_Y": 4032, "past_X": 4032}, "Full cone coverage") + need(controls == {"omitted_Y_translation": 4032, "wrong_Y_translation_order": 4032, + "omitted_X_translation": 4032}, "All exact phase controls fail") + return views, dict(checks), dict(controls) + + +def scalar_word(B, sign): + word = [["add", 112 + p, p, str(sign)] for p in ORDINARY] + word += [["add", 112 + a, p, str(-sign * B[i][j])] + for i, a in enumerate(SELECTED) for j, p in enumerate(ORDINARY) if B[i][j]] + return word + + +def scalar_check(B): + receipts = {} + for sign in (-1, 1): + word = scalar_word(B, sign) + rows = [{j: Fraction(1)} for j in range(224)] + max_norm = Fraction(1) + for _, target, source, coefficient in word: + coefficient = Fraction(coefficient) + need(source < 112 and target >= 112 and source in ORDINARY, "No changed or selected source is read") + for origin, value in rows[source].items(): + rows[target][origin] = rows[target].get(origin, 0) + coefficient * value + max_norm = max(max_norm, sum(abs(x) for x in rows[target].values())) + expected = [{j: Fraction(1)} for j in range(224)] + for p in ORDINARY: + expected[112 + p][p] = Fraction(sign) + for i, a in enumerate(SELECTED): + for j, p in enumerate(ORDINARY): + if B[i][j]: + expected[112 + a][p] = -sign * B[i][j] + need(rows == expected and len(word) == 520 and max_norm == 27, "Exact arbitrary-data U bridge") + need(rows[:112] == [{j: Fraction(1)} for j in range(112)], "Every source is unchanged") + receipts[str(sign)] = dict(program=word, arbitrary_input_columns=224, + unit_adds=104, half_adds=416, real_scalar_bound=4992, + maximum_intermediate_row_one_norm=str(max_norm), native_children=0, + private_fields=0, unchanged_source_rows=112) + return receipts + + +def schedule_audit(data, views, mixed): + template, phases, word = data["template"], data["phases"]["recipes"], data["word"] + events, calls = template["execution_schedule"], template["calls"] + bases = [chart(r["q"]) for r in phases] + positions = {e["time"]: i for i, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + touches, deadline = defaultdict(list), {} + for i, e in enumerate(events): + if e["kind"] == "local_cover_sweep": + c = calls[e["time"]] + touches[c["replica"], c["pair"]].append(i) + elif e["kind"] == "bridge": + for pair in (e["src"], e["dst"]): + touches[e["replica"], pair].append(i) + elif e["kind"] == "idle_cover_sweep": + for side, child in enumerate(e["child_indices"]): + deadline[e["replica"], child] = (i, side) + jobs, suffixes, partition = defaultdict(list), defaultdict(list), defaultdict(set) + for index, job in enumerate(template["hosting"]["pooled_slots"]): + end, side = deadline[job["owner_replica"], job["child"]] + e = events[end] + used = touches[job["owner_replica"], e["pair"]] + offset = bisect_left(used, end) + release = used[offset - 1] if offset else -1 + need(release < positions[job["time"]] < end, "Old complete helper strict window") + family = owner(job["owner_replica"], e["pair"], side, job["port"]) + role = 224 + job["helper"] + width = len(word["frames"][word["final"][role]]) - len(word["frames"][word["start"][role]]) + begin = 8 * (e["from_level"] + 1) + 1 + job["offset"] + axes = list(range(begin, begin + width)) + spectators = [j for j in range(73) if j not in axes][:9 - width] + descriptor = [3, job["child"], job["offset"]] if width == 9 else [4, job["child"], job["offset"], width, spectators] + need(job["family"] == family and job["width"] == width + and calls[job["time"]]["owners"][role] == [family, descriptor], "Literal helper role and route") + key = job["owner_replica"], job["child"], job["port"] + need(not partition[key].intersection(axes), "No helper axis repeats") + partition[key].update(axes) + jobs[job["time"]].append((family, product([(bases[job["port"]][j], 1) for j in axes]))) + for job in template["idle_children"]: + end, side = deadline[job["replica"], job["child"]] + e = events[end] + begin = 8 * (e["from_level"] + 1) + 1 + job["pending_offset"] + stop = 8 * (e["to_level"] + 1) + 1 + axes = list(range(begin, stop)) + family = owner(job["replica"], e["pair"], side, job["port"]) + need(job["family"] == family and len(axes) == job["rank"], "Literal idle suffix") + key = job["replica"], job["child"], job["port"] + need(not partition[key].intersection(axes), "No suffix axis repeats") + partition[key].update(axes) + suffixes[end].append((family, product([(bases[job["port"]][j], 1) for j in axes]))) + for (replica, child), (end, _) in deadline.items(): + e = events[end] + expected = set(range(8 * (e["from_level"] + 1) + 1, 8 * (e["to_level"] + 1) + 1)) + for p in range(112): + need(partition[replica, child, p] == expected, "Every pending axis is used once") + frames = [canonical(phases[f % 112]["q"], -1, (f // 112) % 2) for f in range(14336)] + retired, cuts, counts = set(), [], Counter() + bridge_count = Counter() + + def complete(replica, pair, level): + for side in (0, 1): + for p in range(112): + f = owner(replica, pair, side, p) + expected = canonical(phases[p]["q"], level, side) + if f in retired: + expected = add_phase(expected, line(phases[p]["q"])) + need(frames[f] == expected, "Actual complete bank phase") + + for position, event in enumerate(events): + kind, replica = event["kind"], event.get("replica") + if kind == "local_cover_sweep": + call = calls[event["time"]] + pair, stage = call["pair"], call["stage"] + need(len(call["owners"]) == len({o[0] for o in call["owners"]}) == 704, "No local owner alias") + complete(replica, pair, stage - 1) + for side in (0, 1): + for p in range(112): + f = owner(replica, pair, side, p) + need(call["owners"][112 * side + p] == [f, [1, stage, p]], "Actual active route") + frames[f] = canonical(phases[p]["q"], stage, side) + if mixed and side == 1 and p in SELECTED and stage in (2, 4, 6, 8): + retired.add(f) + frames[f] = add_phase(frames[f], line(phases[p]["q"])) + for f, phase in jobs[event["time"]]: + frames[f] = add_phase(frames[f], phase) + counts["helper_jobs"] += 1 + complete(replica, pair, stage) + counts["local_calls"] += 1 + elif kind == "idle_cover_sweep": + for f, phase in suffixes[position]: + frames[f] = add_phase(frames[f], phase) + counts["idle_suffixes"] += 1 + for side, child in enumerate(event["child_indices"]): + for p in range(112): + f = owner(replica, event["pair"], side, p) + frames[f] = add_phase(frames[f], line(phases[p]["idle_children"][child]["translation_after"], 2)) + complete(replica, event["pair"], event["to_level"]) + counts["idle_events"] += 1 + elif kind == "bridge": + index = bridge_count[replica] + bridge_count[replica] += 1 + if index < 6: + src_pair, dst_pair, side = event["dst"], event["src"], 1 + stage = 2 * dst_pair + 1 + level = 2 * src_pair + 1 + (index % 2) + sign = -event["coefficient"] + need(src_pair + 1 == dst_pair and level < stage, "Future Y bridge order") + counts["future_Y_cuts"] += 1 + else: + src_pair, dst_pair, side = event["src"], event["dst"], 0 + stage, level, sign = 2 * dst_pair + 1, 8, 1 + need(src_pair + 1 == dst_pair and stage <= level, "Past X tail order") + counts["past_X_tail_cuts"] += 1 + families = [owner(replica, src_pair, side, p) for p in ORDINARY] + families += [owner(replica, dst_pair, side, p) for p in range(112)] + need(len(families) == len(set(families)) == 216, "No bridge source/target owner alias") + for p in ORDINARY: + source = owner(replica, src_pair, side, p) + target = owner(replica, dst_pair, side, p) + expected = canonical(phases[p]["q"], level, side) + need(frames[source] == frames[target] == expected, "Exact same-port ordinary bridge phase") + for p in SELECTED: + target = owner(replica, dst_pair, side, p) + need(target not in retired and frames[target] == canonical(phases[p]["q"], level, side), + "Every selected target has the required unmodified phase") + name = "Y" if side else "X" + cuts.append(dict(position=position, source_event=event["source_event"], replica=replica, + source_pair=src_pair, target_pair=dst_pair, side=name, stage=stage, + completed_level=level, sign=sign, + source_ordinary_families=[owner(replica, src_pair, side, p) for p in ORDINARY], + target_families=[owner(replica, dst_pair, side, p) for p in range(112)], + aligned_source_ports=ORDINARY, aligned_target_ports=SELECTED, + scalar_word_key=str(sign), new_affine_view_maps=224, + retained_X_bridge=(index < 6), removed_Y_tail=(index >= 6))) + counts["all_bridge_frame_pairs"] += 224 + elif kind == "terminal_Y_translations": + for pair in range(4): + complete(replica, pair, 8) + counts["preterminal_endpoints"] += 1 + elif kind == "terminal": + counts["terminal_events"] += 1 + else: + need(kind in ("bank_padding_cover_sweep", "translate_every_live_family"), "Known source event") + need(all(v == 9 for v in bridge_count.values()) and len(cuts) == 144, "All new bridge cuts") + need(counts["helper_jobs"] == 69120 and counts["idle_suffixes"] == 7526 + and counts["future_Y_cuts"] == 96 and counts["past_X_tail_cuts"] == 48, "Complete source schedule") + need(len(retired) == (512 if mixed else 0), "Selected FULL exceptions") + return dict(mixed_selected_outputs=mixed, checked_counts=dict(counts), cuts=cuts, + retired_selected_fields_not_read=512 if mixed else 0) + + +def main(args): + raw = ARCHIVE.read_bytes() + need(sha256(raw).hexdigest() == ARCHIVE_PIN, "Selected archive pin") + data = {} + with tarfile.open(ARCHIVE) as stream: + for key, (path, pin) in MEMBERS.items(): + raw = stream.extractfile(path).read() + need(sha256(raw).hexdigest() == pin, "Archive member pin: " + key) + data[key] = json.loads(gzip.decompress(raw) if path.endswith(".gz") else raw) + for path, pin in PINS.items(): + need(sha256((LANES / path).read_bytes()).hexdigest() == pin, "Premise pin: " + path) + interface = json.loads((LANES / "circuit-interface/INTERFACE.json").read_bytes()) + R = [[Fraction(row.get(str(p), "0")) for p in range(112)] for row in interface["R"]] + need(interface["ports"] == [r["q"] for r in data["phases"]["recipes"]], "Actual port order") + need(all(sum(R[k][a] * R[k][b] for k in range(8)) == 4 * int(i == j) + for i, a in enumerate(SELECTED) for j, b in enumerate(SELECTED)), "Selected square minor") + B = [[sum(R[k][a] * R[k][p] for k in range(8)) / 4 for p in ORDINARY] for a in SELECTED] + need(sum(bool(c) for row in B for c in row) == 416 + and all(sum(bool(c) for c in row) == 52 for row in B) + and all(abs(c) == Fraction(1, 2) for row in B for c in row if c), "Exact sparse B matrix") + views, checks, controls = phases_and_views(data) + scalar = scalar_check(B) + uniform, mixed = [schedule_audit(data, views, setting) for setting in (False, True)] + need(uniform["cuts"] == mixed["cuts"], "One program handles both retirement phase policies") + payload = dict(format="future-projection-bridge-v1", views=list(views.values()), + scalar_words={k: v["program"] for k, v in scalar.items()}, cuts=uniform["cuts"], + operation_order=["104 same-port ordinary ADDs", "Align 104 source U and 8 target A fields", + "416 half ADDs", "Undo 112 affine views"], + inverse_view_order="Undo translation, then undo the route; rho is its own inverse") + payload_raw = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + args.program.write_bytes(gzip.compress(payload_raw, mtime=0)) + for row in scalar.values(): + del row["program"] + receipt = dict(status="PASS_ACTUAL_FUTURE_PROJECTION_BRIDGES", archive_sha256=ARCHIVE_PIN, + source_member_sha256={k: v[1] for k, v in MEMBERS.items()}, premise_sha256=PINS, + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + payload_sha256=sha256(payload_raw).hexdigest(), phase_checks=checks, phase_controls=controls, + scalar_words=scalar, uniform_schedule=uniform["checked_counts"], mixed_schedule=mixed["checked_counts"], + mixed_retired_selected_fields_not_read=512, new_native_children=0, new_private_fields=0, + unchanged_original_helper_jobs=69120, unchanged_original_idle_suffixes=7526, + complete_T_equals_W_bridge_invoice=dict(U_updates=144, real_scalar_bound=718848, + retained_X_unit_adds=10752, retained_X_real_scalar_bound=86016, + total_real_scalar_bound=804864, new_affine_view_maps=32256, + native_profile_delta={}, live_delta=0, physical_stock_delta=0), + complete_T_zero_bridge_invoice=dict(U_updates=96, real_scalar_bound=479232, + retained_X_real_scalar_bound=86016, total_real_scalar_bound=565248, + new_affine_view_maps=21504, native_profile_delta={}, live_delta=0, physical_stock_delta=0), + tensor_scope="All phase polynomials are exact modulo four and have zero constant. The identities tensor to every positive width.", + scope="Literal source-bound bridge macros and exact phase/owner admission. This is not a complete supplier, precision invoice, or kappa claim.", + open_costs=["Compile affine view maps in the complete finite invoice", "Bind the selected controller and all new local maps", "Price complete controller growth and recursive supplier"]) + args.out.write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n", encoding="utf-8") + print(receipt["status"]) + print(json.dumps(dict(cuts=144, new_native_children=0, scalar=804864, affine_views=32256), sort_keys=True)) + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--out", type=Path, default=HERE / "ACCESS.json") + parser.add_argument("--program", type=Path, default=HERE / "BRIDGE-PROGRAMS.json.gz") + main(parser.parse_args()) diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json b/research/centre-code-services/frozen/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json new file mode 100644 index 0000000000..df6d92de6f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json @@ -0,0 +1,12810 @@ +{ + "data_fields": 224, + "dimension": 25, + "entries": [ + { + "literal_stage_alignment": { + "entry_X": 0, + "entry_Y": 0, + "exit_X": 0, + "exit_Y": 0 + }, + "port": 0, + "q": 11, + "route_columns": [ + 1, + 2, + 4, + 8, + 16, + 32, + 64, + 128, + 256, + 512, + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "stage": 0 + }, + { + "literal_stage_alignment": { + "entry_X": 15, + "entry_Y": 15, + "exit_X": 3588, + "exit_Y": 3588 + }, + "port": 0, + "q": 11, + "route_columns": [ + 2571, + 3083, + 3584, + 1547, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 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Separate emitter and caller obligations remain." +} diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json new file mode 100644 index 0000000000..b022f3636e --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json @@ -0,0 +1,12 @@ +{ + "files": { + "INTEGRATION.md": "7fce1ef14e08963b84bb43f839db280e83879261fc8af950dad072998edcb8a2", + "check_integration.py": "c178c339b0398d7e6f0232d68d681527dfaed70da10941f09bd9db3f141887fb", + "integration-v2-normal/CHECKS.json": "ee6add0c9f4a6330d5180190f29a052f491b1adefef7d9aabb6bc389f4ed057c", + "integration-v2-normal/DISPATCHER.json": "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24", + "integration-v2-optimized/CHECKS.json": "ee6add0c9f4a6330d5180190f29a052f491b1adefef7d9aabb6bc389f4ed057c", + "integration-v2-optimized/DISPATCHER.json": "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24" + }, + "normal_optimized_byte_identical": true, + "scope": "Exact native-prefix/data-view/query splice; inherited helper hosting and complete supplier remain separate." +} diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION.md b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION.md new file mode 100644 index 0000000000..ed2c9ee398 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION.md @@ -0,0 +1,218 @@ +# The native prefix and the fixed-reader dispatcher + +This packet joins the emitted carrier prefix to the fixed past-reader +query. It gives the exact data interface at the D25 stages 1 and 2. +It preserves the native helper contract as an explicit premise. +It does not give a complete supplier or a multiplication exponent. + +The inputs are the frozen `CARRIER-PREFIX.json.gz`, +`REUSE-PROGRAM.json`, `ROUTED-QUERY.json.gz`, and +`DIMENSION25-VIEWS.json`. The dispatcher records their paths and hashes. +It does not change those files. + +## The physical level and the reader label + +Let P be the fixed sixteen selected ports. Let R be the other 96 ports. +Let \(F_\ell\) be the full transform on the first \(9+8\ell\) axes. +Put + +\[ +G_R=\operatorname{diag}(I_P,q_R). +\] + +Here q is the portwise inverse intrinsic line. Fix a reader stage s +and a service stage t, with \(s` with normal Python +and with `python3 -O`. The two dispatcher files and the two receipts +must be byte equal. The checker rejects an existing output directory. + +The checks bind both providers and the three pairs +\((0,1),(0,2),(1,2)\). They replay the carrier prefix, check every +adjacent data boundary phase, and bind the complete late-query +program. The pinned native integration lane replay covers the 2,064 +literal query maps and its scalar word after this exact prefix. + +This work extends the controller lane's normalized row capture, the +native lane's line-entry carrier, and the earlier D25 view proof. +OpenAI Codex assisted the work. No publication is authorized. Before +any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json new file mode 100644 index 0000000000..f58eb9a9f7 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "REUSE.md": "5038811fc5097ed0e86df6c7d4e5ea147c8b0e977e7ba633499b72528dc28d5d", + "check_reuse.py": "5728ceb5877e3e59ce4d8d4ae21672bb22029944051e6193f9a36b4996b66279", + "reuse-normal/REUSE-CHECKS.json": "1ae1c147f99cf31c7fa6886516e3417417767a08888923bea09afa73dac43729", + "reuse-normal/REUSE-PROGRAM.json": "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b", + "reuse-optimized/REUSE-CHECKS.json": "1ae1c147f99cf31c7fa6886516e3417417767a08888923bea09afa73dac43729", + "reuse-optimized/REUSE-PROGRAM.json": "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b" + }, + "formation_freeze_sha256": "9d4eda12aa32eb11d97f6a9a88c691152a0c9580ea678cceaacae3d9b06c5b11", + "normal_optimized_byte_equal": true, + "schema": "fixed-reader-reuse-freeze-v1", + "scope": "Exact forward fixed-reader query, carrier phases and actual D25 owner views. Complete native integration, backward companion and supplier remain separate." +} diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/check_integration.py b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/check_integration.py new file mode 100644 index 0000000000..3f95ba2894 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/check_integration.py @@ -0,0 +1,341 @@ +"""Bind the native carrier prefix to the actual D25 reuse dispatcher.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +import argparse +import gzip +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent.parent +PINS = { + "prefix": ( + "new-core-transfer-20261017/low-displacement-20261020/" + "fixed-reader-reuse-20261020/prefix-normal/CARRIER-PREFIX.json.gz", + "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e", + ), + "prefix_freeze": ( + "new-core-transfer-20261017/low-displacement-20261020/" + "fixed-reader-reuse-20261020/PREFIX-FREEZE.json", + "fc3cef0e499e5bc85c25bb0fc88f5ecd12e44b66799e3d793dac37de8d88d26e", + ), + "native_phase_review": ( + "new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json", + "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c", + ), + "query": ( + "bridge-access-20261017/row-capture-access-20261020/" + "reuse-normal/REUSE-PROGRAM.json", + "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b", + ), + "query_freeze": ( + "bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json", + "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf", + ), + "literal_query": ( + "new-core-transfer-20261017/low-displacement-20261020/" + "fixed-reader-reuse-20261020/query-normal/ROUTED-QUERY.json.gz", + "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a", + ), + "literal_query_freeze": ( + "new-core-transfer-20261017/low-displacement-20261020/" + "fixed-reader-reuse-20261020/QUERY-FREEZE.json", + "f111a90f7403f93494e9d1f83ae35dbf7dd72eddc8c9f8bf730d677b4a31402d", + ), + "views": ( + "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473", + ), + "phase": ( + "bridge-access-20261017/check_bridge_access.py", + "9510c5624dfb51d98767728084851e4ee75a135e6d7b546569a47fe458485111", + ), +} +UNIT = [1 << j for j in range(25)] + + +def need(test, label): + if not test: + raise ValueError(label) + + +def raw_source(name): + path, pin = PINS[name] + raw = (LANES / path).read_bytes() + if path.endswith(".gz"): + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Pinned source: " + name) + return raw + + +def rank(vectors): + pivots = {} + for value in vectors: + while value: + bit = value.bit_length() - 1 + if bit not in pivots: + pivots[bit] = value + break + value ^= pivots[bit] + return len(pivots) + + +def add(target, source, coefficient): + for column, value in source.items(): + target[column] = target.get(column, F(0)) + coefficient * value + if not target[column]: + del target[column] + + +def price(op, value): + n, d = abs(value.numerator), value.denominator + need(n and d & (d - 1) == 0, "Nonzero dyadic coefficient") + if op == "scale": + need(n & (n - 1) == 0, "The scale is a dyadic unit") + return 2 * (abs(n.bit_length() - d.bit_length()) + (value < 0)) + return 2 * (3 + n.bit_length() - 1 + n.bit_count() + d.bit_length() - 1) + + +def check_prefix(word, response, selected): + live = list(word["start"]) + state = [{p: F(1)} for p in range(640)] + profile = Counter() + scalar_price = 0 + for index, event in enumerate(word["events"]): + if event[0] == "native": + _, target, old, new, mass, key = event + need(live[target] == old, "Native input frame") + left, right = word["frames"][old], word["frames"][new] + need(rank(left + right) == len(right), "Nested native frame") + need(len(right) - len(left) == mass + == word["native_recipes"][key]["rank"], "Native rank") + live[target] = new + profile[mass] += 1 + else: + need(event[0] == "scalar", "Prefix event grammar") + (_, (op, target, source, coefficient), frame) = event + value = F(coefficient) + need(live[target] == frame, "Scalar target frame") + if op == "add": + need(source != target and live[source] == frame, + "Scalar source frame") + need(source not in {112 + p for p in selected}, + "The prefix does not read a selected target") + add(state[target], state[source], value) + else: + need(op == "scale", "Prefix scalar grammar") + state[target] = {j: value * v for j, v in state[target].items()} + scalar_price += price(op, value) + if index == 2389: + need(all(live[p] == 1 for p in range(112)), + "All sources are FULL after the complete retained core") + expected = [{p: F(1)} for p in range(640)] + for p in range(112): + if p not in selected: + add(expected[112 + p], response[p], F(1)) + need(state == expected, "The full 640-column carrier prefix") + need(live == word["final"], "The full prefix frame ledger") + need(all(live[p] == live[112 + p] == 1 for p in selected), + "Every selected query source and target is FULL") + need(all(state[p] == {p: F(1)} for p in range(224, 640)), + "All 416 arbitrary helper fields are restored") + need(len(word["events"]) == 2406 + and word["stage_ranges"]["retained_core"] == [0, 2390] + and word["stage_ranges"]["selected_line_progress"] == [2390, 2406] + and "late_query" not in word["stage_ranges"], "The exact prefix cut") + need(profile == {1: 1392, 2: 64, 3: 48, 8: 16} + and scalar_price == 6456, "The complete prefix invoice") + source_views = {v["port"]: v for v in word["input_views"] if v["role"] == "source"} + selected_views = [v for v in word["input_views"] if v["role"] == "selected_target"] + need(set(source_views) == set(range(112)) and len(selected_views) == 16, + "The complete input adapter stock") + for view in selected_views: + source = source_views[view["port"]] + need(view["field"] == 112 + view["port"] and view["port"] in selected + and view["source_entry_port"] == view["port"], "Selected input adapter field") + need(all(view[key] == source[key] for key in ("frame", "rank", "left", "right")), + "The selected input adapter equals the source adapter") + need({v["port"] for v in word["output_views"]} == set(range(112)) - selected, + "Only ordinary target output adapters remain") + need(len(word["input_views"]) == 128 and len(word["output_views"]) == 96, + "The exact adapter count") + return { + "native_profile": dict(sorted(profile.items())), + "native_rank": sum(k * v for k, v in profile.items()), + "native_children": sum(profile.values()), + "scalar_primitives": scalar_price, + "arbitrary_input_columns": 640, + "restored_arbitrary_helper_fields": 416, + "input_adapters": 128, "ordinary_output_adapters": 96, + "native_phase_review_is_pinned_dependency": True, + } + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--output", type=Path, required=True) + args = parser.parse_args() + sources = {key: raw_source(key) for key in PINS} + prefix, query, views = (json.loads(sources[key]) for key in ("prefix", "query", "views")) + literal_query = json.loads(sources["literal_query"]) + need(literal_query["native_prefixes"] == prefix["providers"], + "The literal query uses this exact complete native prefix") + need(literal_query["source_pins"]["query"]["sha256"] == PINS["query"][1], + "The literal query uses this exact path program") + spec = importlib.util.spec_from_file_location("reuse_dispatcher_phase", LANES / PINS["phase"][0]) + phase = importlib.util.module_from_spec(spec) + spec.loader.exec_module(phase) + selected = set(prefix["selected_ports"]) + need(prefix["selected_ports"] == query["pivots"], "The exact carried pivot set") + response = [{int(j): F(v) for j, v in row.items()} for row in prefix["response"]] + reports = {name: check_prefix(word, response, selected) + for name, word in prefix["providers"].items()} + records = {(v["stage"], v["port"]): v for v in views["entries"]} + stage_programs, counts = [], Counter() + for t in (1, 2): + full_before = [(v, 1) for v in UNIT[:9 + 8 * (t - 1)]] + full_after = [(v, 1) for v in UNIT[:9 + 8 * t]] + exterior = [(v, 1) for v in UNIT[9:9 + 8 * t]] + data_entries, data_exits = [], [] + for side, offset in (("X", 0), ("Y", 112)): + for p in range(112): + record = records[t, p] + rho, q, align = (record[key] for key in + ("route_columns", "q", "literal_stage_alignment")) + need(all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(rho) for j, b in enumerate(rho)), + "Regular-cover orthogonal route") + need([phase.act(rho, v) for v in rho] == UNIT + and phase.act(rho, q) == q, "The route fixes its intrinsic line") + need(rho[9 + 8 * t:] == UNIT[9 + 8 * t:], "No future coordinate is changed") + full_input = side == "X" or p in selected + before = full_before + ([] if full_input else [(q, -1)]) + entry_delta = phase.act(rho, align["entry_" + side]) + actual = phase.add_phase( + phase.product([(phase.act(rho, v), n) for v, n in before]), + phase.line(entry_delta, 2)) + expected = phase.product(exterior + ([(q, 1)] if full_input else [])) + need(actual == expected, "Exact adjacent current entry phase") + counts["entry_phase_equations"] += 1 + after = full_after + ([] if full_input else [(q, -1)]) + exit_key = "exit_X" if full_input else "exit_Y" + exit_delta = align[exit_key] + actual = phase.add_phase( + phase.product([(phase.act(rho, v), n) for v, n in after]), + phase.line(exit_delta, 2)) + need(actual == phase.product(after), "Exact global output phase") + counts["exit_phase_equations"] += 1 + data_entries.append({ + "field": offset + p, "port": p, "side": side, + "owner_from_body": "h=d*rho", + "route_columns": rho, + "translation_before_route": align["entry_" + side], + "translation_after_route": entry_delta, + "intrinsic_input": "Q_p" if full_input else "I", + }) + data_exits.append({ + "field": offset + p, "port": p, "side": side, + "owner_from_body": "h=d*rho", + "route_columns": rho, + "translation_after_route": exit_delta, + "global_output": "FULL" if full_input else "FULL*q_p", + "literal_translation_key": exit_key, + }) + stage_programs.append({ + "service_stage": t, "physical_input_level": t - 1, + "physical_output_level": t, + "common_exterior_axes": [v for v, _ in exterior], + "DATA_entry": data_entries, "DATA_exit": data_exits, + }) + invocations = [] + for number, pair in enumerate(query["pairs"]): + s, t = pair["reader_stage"], pair["service_stage"] + need((s, t) in ((0, 1), (0, 2), (1, 2)) and s < t, + "The checked past/current pair") + need(pair["real_scalar_primitives"] == 11168 + and pair["monomial_map_calls"] == 2064 + and pair["native_children_in_query"] == 0, "The complete routed query invoice") + literal = literal_query["queries"][f"{s}:{t}"] + need(literal["reader_stage"] == s and literal["service_stage"] == t, + "The exact literal query stage labels") + need(sum(event[0] == "map" for event in literal["events"]) == 2064, + "All literal query maps are retained") + need(sum(price(event[1], F(event[4])) for event in literal["events"] + if event[0] == "scalar") == 11168, "The literal scalar query price") + need(all(record["port"] in selected for record in query["carrier_recipes"]), + "Only selected carrier paths are added") + for provider in prefix["providers"]: + invocations.append({ + "provider": provider, "reader_stage": s, "service_stage": t, + "physical_input_level": t - 1, + "physical_output_level": t, + "stage_view_record": t - 1, "query_pair_record": number, + "ordered_blocks": [ + {"op": "DATA_entry", "record": t - 1, "map_calls": 224}, + {"op": "native_input_adapters", "source": "prefix", + "provider": provider, "map_calls": 128}, + {"op": "complete_native_carrier_cover_sweep", "source": "prefix", + "provider": provider, "event_range": [0, 2406]}, + {"op": "ordinary_output_adapters", "source": "prefix", + "provider": provider, "map_calls": 96}, + {"op": "DATA_exit", "record": t - 1, "map_calls": 224}, + {"op": "complete_cover_barrier"}, + {"op": "fixed_past_reader_query", "source": "query", + "pair_record": number, "literal_source": "literal_query", + "literal_key": f"{s}:{t}", "map_calls": 2064}, + ], + "scalar_primitives": 17624, + "map_call_bound": { + "DATA": 448, "local_endpoint_adapters": 224, + "native_side_maps": 3040, "late_query": 2064, + "total": 5776, + }, + }) + need(counts == {"entry_phase_equations": 448, "exit_phase_equations": 448}, + "The complete adjacent D25 boundary census") + payload = { + "schema": "fixed-reader-global-dispatcher-v1", "source_pins": PINS, + "dimension": 25, "selected_ports": prefix["selected_ports"], + "stage_views": stage_programs, "invocations": invocations, + "contract": { + "input": "(Fprev*x, Fprev*diag(I_P,q_R)*w)", + "output": "(Fnew*x, Fnew*diag(I_P,q_R)*(w+A_st*x))", + "response_rows_P": "L_s*E_t", + "response_rows_R": "(E_t)_R", + "reader_label_is_not_physical_level": True, + "arbitrary_independent_selected_records": True, + "full_native_sweep_before_global_query": True, + }, + "owner_contract": { + "cover": "Regular O(25,2)", + "data_partition": "For each field, d -> d*rho_(t,p) is a bijection.", + "native_helpers": "Use the inherited 416-field helper contract; restore it per body.", + "helper_hosting_reproved_here": False, + }, + "native_phase_validation": "Use the pinned independent line-entry review.", + "complete_supplier_claimed": False, + } + args.output.mkdir(parents=True, exist_ok=False) + raw = (json.dumps(payload, indent=2, sort_keys=True) + "\n").encode() + (args.output / "DISPATCHER.json").write_bytes(raw) + receipt = { + "status": "PASS_FIXED_READER_NATIVE_D25_DISPATCHER", + "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "program_sha256": sha256(raw).hexdigest(), "source_pins": PINS, + "providers": reports, "boundary_checks": dict(counts), + "reader_service_pairs": [[0, 1], [0, 2], [1, 2]], + "scalar_primitives": 17624, "query_map_calls": 2064, + "total_monomial_call_bound": 5776, + "inherited_helper_hosting_still_required": True, + "complete_supplier_claimed": False, + } + (args.output / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(receipt["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/CHECKS.json new file mode 100644 index 0000000000..27d453f43b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/CHECKS.json @@ -0,0 +1,100 @@ +{ + "boundary_checks": { + "entry_phase_equations": 448, + "exit_phase_equations": 448 + }, + "checker_sha256": "c178c339b0398d7e6f0232d68d681527dfaed70da10941f09bd9db3f141887fb", + "complete_supplier_claimed": false, + "inherited_helper_hosting_still_required": true, + "program_sha256": "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24", + "providers": { + "base": { + "arbitrary_input_columns": 640, + "input_adapters": 128, + "native_children": 1520, + "native_phase_review_is_pinned_dependency": true, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_rank": 1792, + "ordinary_output_adapters": 96, + "restored_arbitrary_helper_fields": 416, + "scalar_primitives": 6456 + }, + "extra": { + "arbitrary_input_columns": 640, + "input_adapters": 128, + "native_children": 1520, + "native_phase_review_is_pinned_dependency": true, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_rank": 1792, + "ordinary_output_adapters": 96, + "restored_arbitrary_helper_fields": 416, + "scalar_primitives": 6456 + } + }, + "query_map_calls": 2064, + "reader_service_pairs": [ + [ + 0, + 1 + ], + [ + 0, + 2 + ], + [ + 1, + 2 + ] + ], + "scalar_primitives": 17624, + "source_pins": { + "literal_query": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/query-normal/ROUTED-QUERY.json.gz", + "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a" + ], + "literal_query_freeze": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json", + "f111a90f7403f93494e9d1f83ae35dbf7dd72eddc8c9f8bf730d677b4a31402d" + ], + "native_phase_review": [ + "new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json", + "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c" + ], + "phase": [ + "bridge-access-20261017/check_bridge_access.py", + "9510c5624dfb51d98767728084851e4ee75a135e6d7b546569a47fe458485111" + ], + "prefix": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/prefix-normal/CARRIER-PREFIX.json.gz", + "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e" + ], + "prefix_freeze": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json", + "fc3cef0e499e5bc85c25bb0fc88f5ecd12e44b66799e3d793dac37de8d88d26e" + ], + "query": [ + "bridge-access-20261017/row-capture-access-20261020/reuse-normal/REUSE-PROGRAM.json", + "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b" + ], + "query_freeze": [ + "bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json", + "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf" + ], + "views": [ + "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + ] + }, + "status": "PASS_FIXED_READER_NATIVE_D25_DISPATCHER", + "total_monomial_call_bound": 5776 +} diff --git a/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/DISPATCHER.json b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/DISPATCHER.json new file mode 100644 index 0000000000..83e7eed134 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/DISPATCHER.json @@ -0,0 +1,32749 @@ +{ + "complete_supplier_claimed": false, + "contract": { + "arbitrary_independent_selected_records": true, + "full_native_sweep_before_global_query": true, + "input": "(Fprev*x, Fprev*diag(I_P,q_R)*w)", + "output": "(Fnew*x, Fnew*diag(I_P,q_R)*(w+A_st*x))", + "reader_label_is_not_physical_level": true, + "response_rows_P": "L_s*E_t", + "response_rows_R": "(E_t)_R" + }, + "dimension": 25, + "invocations": [ + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 0 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "base", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 0 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "0:1", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 0, + "source": "query" + } + ], + "physical_input_level": 0, + "physical_output_level": 1, + "provider": "base", + "query_pair_record": 0, + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 1, + "stage_view_record": 0 + }, + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 0 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 0 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "0:1", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 0, + "source": "query" + } + ], + "physical_input_level": 0, + "physical_output_level": 1, + "provider": "extra", + "query_pair_record": 0, + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 1, + "stage_view_record": 0 + }, + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 1 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "base", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 1 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "0:2", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 1, + "source": "query" + } + ], + "physical_input_level": 1, + "physical_output_level": 2, + "provider": "base", + "query_pair_record": 1, + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 2, + "stage_view_record": 1 + }, + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 1 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 1 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "0:2", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 1, + "source": "query" + } + ], + "physical_input_level": 1, + "physical_output_level": 2, + "provider": "extra", + "query_pair_record": 1, + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 2, + "stage_view_record": 1 + }, + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 1 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "base", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "base", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 1 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "1:2", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 2, + "source": "query" + } + ], + "physical_input_level": 1, + "physical_output_level": 2, + "provider": "base", + "query_pair_record": 2, + "reader_stage": 1, + "scalar_primitives": 17624, + "service_stage": 2, + "stage_view_record": 1 + }, + { + "map_call_bound": { + "DATA": 448, + "late_query": 2064, + "local_endpoint_adapters": 224, + "native_side_maps": 3040, + "total": 5776 + }, + "ordered_blocks": [ + { + "map_calls": 224, + "op": "DATA_entry", + "record": 1 + }, + { + "map_calls": 128, + "op": "native_input_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "event_range": [ + 0, + 2406 + ], + "op": "complete_native_carrier_cover_sweep", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 96, + "op": "ordinary_output_adapters", + "provider": "extra", + "source": "prefix" + }, + { + "map_calls": 224, + "op": "DATA_exit", + "record": 1 + }, + { + "op": "complete_cover_barrier" + }, + { + "literal_key": "1:2", + "literal_source": "literal_query", + "map_calls": 2064, + "op": "fixed_past_reader_query", + "pair_record": 2, + "source": "query" + } + ], + "physical_input_level": 1, + "physical_output_level": 2, + "provider": "extra", + "query_pair_record": 2, + "reader_stage": 1, + "scalar_primitives": 17624, + "service_stage": 2, + "stage_view_record": 1 + } + ], + "native_phase_validation": "Use the pinned independent line-entry review.", + "owner_contract": { + "cover": "Regular O(25,2)", + "data_partition": "For each field, d -> d*rho_(t,p) is a bijection.", + "helper_hosting_reproved_here": false, + "native_helpers": "Use the inherited 416-field helper contract; restore it per body." + }, + "schema": "fixed-reader-global-dispatcher-v1", + "selected_ports": [ + 0, + 27, + 36, + 111, + 20, + 7, + 57, + 46, + 1, + 3, + 6, + 8, + 17, + 18, + 24, + 23 + ], + "source_pins": { + "literal_query": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/query-normal/ROUTED-QUERY.json.gz", + "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a" + ], + "literal_query_freeze": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json", + "f111a90f7403f93494e9d1f83ae35dbf7dd72eddc8c9f8bf730d677b4a31402d" + ], + "native_phase_review": [ + "new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json", + "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c" + ], + "phase": [ + "bridge-access-20261017/check_bridge_access.py", + "9510c5624dfb51d98767728084851e4ee75a135e6d7b546569a47fe458485111" + ], + "prefix": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/prefix-normal/CARRIER-PREFIX.json.gz", + "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e" + ], + "prefix_freeze": [ + "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json", + "fc3cef0e499e5bc85c25bb0fc88f5ecd12e44b66799e3d793dac37de8d88d26e" + ], + "query": [ + "bridge-access-20261017/row-capture-access-20261020/reuse-normal/REUSE-PROGRAM.json", + "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b" + ], + "query_freeze": [ + "bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json", + "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf" + ], + "views": [ + "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + ] + }, + "stage_views": [ + { + "DATA_entry": [ + { + "field": 0, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 0, + "route_columns": [ + 2571, + 3083, + 3584, + 1547, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 14, + 7, + 16, + 32, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 3595, + "translation_before_route": 15 + }, + { + "field": 1, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 1, + "route_columns": [ + 4627, + 5139, + 5632, + 2048, + 1555, + 8192, + 16384, + 32768, + 65536, + 21, + 22, + 8, + 7, + 32, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 5651, + "translation_before_route": 23 + }, + { + "field": 2, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 2, + "route_columns": [ + 8739, + 9251, + 9728, + 2048, + 4096, + 1571, + 16384, + 32768, + 65536, + 37, + 38, + 8, + 16, + 7, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 9763, + "translation_before_route": 39 + }, + { + "field": 3, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 3, + "route_columns": [ + 16963, + 17475, + 17920, + 2048, + 4096, + 8192, + 1603, + 32768, + 65536, + 69, + 70, + 8, + 16, + 32, + 7, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 17987, + "translation_before_route": 71 + }, + { + "field": 4, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 4, + "route_columns": [ + 33411, + 33923, + 34304, + 2048, + 4096, + 8192, + 16384, + 1667, + 65536, + 133, + 134, + 8, + 16, + 32, + 64, + 7, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 34435, + "translation_before_route": 135 + }, + { + "field": 5, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 5, + "route_columns": [ + 66307, + 66819, + 67072, + 2048, + 4096, + 8192, + 16384, + 32768, + 1795, + 261, + 262, + 8, + 16, + 32, + 64, + 128, + 7, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 67331, + "translation_before_route": 263 + }, + { + "field": 6, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 6, + "route_columns": [ + 3085, + 3584, + 2573, + 1549, + 4096, + 8192, + 16384, + 32768, + 65536, + 14, + 11, + 7, + 16, + 32, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "side": "X", + "translation_after_route": 3597, + "translation_before_route": 15 + }, + { + "field": 7, + "intrinsic_input": "Q_p", + "owner_from_body": "h=d*rho", + "port": 7, + "route_columns": [ + 5141, + 5632, + 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Complete native integration and supplier admission are separate." +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/GENERAL-READER.md b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/GENERAL-READER.md new file mode 100644 index 0000000000..841cd48bc5 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/GENERAL-READER.md @@ -0,0 +1,111 @@ +# A reusable query for an arbitrary old reader + +This theorem extends the fixed-reader factorization from the +bridge-access lane. It uses ordered operators. It does not assume +that spatial maps commute. + +Let X and Z be modules over the coefficient ring. Let J insert a centre +module into X, and let P select it, so \(PJ=I\). Suppose the current +reader and response satisfy + +\[ +L_tJ=I,\qquad E_t=I+A_tL_t. +\] + +Put \(B_t=L_t-P\) and \(C_t=I+JB_t\). Since \(B_tJ=0\), the code is a +unit with \(C_t^{-1}=I-JB_t\). Let \(L_s:X\to Z\) be any old reader. +Define + +\[ +W=L_sJ,\qquad B_s=L_s-WP,\qquad M=L_sE_tJ. +\] + +Then \(B_sJ=0\), and + +\[ +\boxed{L_sE_tC_t^{-1}=B_s-WB_t+MP.} +\] + +To prove the identity, keep the order of all factors: + +\[ +\begin{aligned} +E_tC_t^{-1} + &=(I+A_tL_t)(I-JB_t)\\ + &=I-JB_t+A_t(L_t-B_t)\\ + &=I-JB_t+A_tP. +\end{aligned} +\] + +Multiplication by \(L_s\), followed by +\(L_s=B_s+WP\) and \(M=W+L_sA_t\), gives the stated identity. + +The following six-step query therefore works for arbitrary independent +X and Z inputs: + +1. Add \(B_sX\) to Z. +2. Add \(WPX\) to Z. +3. Apply \(C_t\) to X. +4. Subtract the new \(WPX\) from Z. +5. Add \(MPX\) to Z. +6. Apply \(C_t^{-1}\) to X. + +The resulting map is + +\[ +(X,Z)\longmapsto(X,Z+L_sE_tX). +\] + +In particular, steps 2 and 4 contribute \(-WB_tX_{\rm initial}\), +and step 5 contributes \(ML_tX_{\rm initial}\). Each X field is +restored. Z keeps its arbitrary baseline. An inverse of E is never +used. Neither invertibility of E nor a zero selected block of E is +required. + +The map W is a service obligation. It must act additively on Z, and its +access and implementation must be priced. An in-place application of W +to an existing centre value does not by itself give this additive +service. No inverse of W is required by the theorem. + +The theorem is a query identity. It does not by itself make \(L_s\) +a unit encoding of a complete target bank. Such an encoding requires +a unit completion of \(L_s\). If the centre width and the ordinary +coordinates R stay the same, this completion is +\(\left[\begin{smallmatrix}W&B_s\\0&I\end{smallmatrix}\right]\). +It is a unit exactly when W is a unit on the centre space. A completion +with different ordinary coordinates changes the interface and needs +its own implementation. The query identity itself also permits singular W. +In the actual normalized case +\(L_sJ=I\), W is I and \(C_s=I+J(L_s-P)\) gives that completion. The +two W services are then plain same-port copies. Only this case has +the actual 11,168-scalar and 2,064-map invoice in `REVIEW.md`. + +The independent checker includes a finite example with two-dimensional +blocks + +\[ +T=\begin{bmatrix}0&1\\1&0\end{bmatrix},\quad +W=\begin{bmatrix}1&1\\0&1\end{bmatrix},\quad +S=\begin{bmatrix}2&1\\-1&0\end{bmatrix},\quad +A=\begin{bmatrix}-1&0\\0&1\end{bmatrix}. +\] + +Take \(L_t=[I,T]\), \(L_s=[W,S]\), and + +\[ +E_t=\begin{bmatrix}I+A&AT\\0&I\end{bmatrix}. +\] + +Here E is singular, its selected block is nonzero, and \(WT\ne TW\). +The six-step query passes all six independent input columns. The word +with plain copies in place of W fails. This example tests the removed +hypotheses. The ordered proof above applies to all modules and maps +with the stated types. + +This theorem does not emit a new native response family. It does not +provide a new complete supplier or a change to the selected frontier. +The actual native frame and access conditions remain those in the +separate D25 review. + +No publication is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/PEER-REVIEW.md b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/PEER-REVIEW.md new file mode 100644 index 0000000000..2859baa83a --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/PEER-REVIEW.md @@ -0,0 +1,27 @@ +# Peer check of the added consequences + +The bridge-access producer checked the new consequences on 2026-10-20. +This check concerns the new theorem and norm argument. It does not +serve as independent approval of that producer's original query. + +The producer accepted the arbitrary-reader identity and the two +additive W services. The producer requested one qualification: +with the same ordinary coordinates, the completed bank code is +\(\left[\begin{smallmatrix}W&B_s\\0&I\end{smallmatrix}\right]\), so it +is a unit exactly when W is a unit. `GENERAL-READER.md` now states +this condition. A different completion changes the interface. + +The producer also accepted the sharp norm argument on the regular +cover. At a fixed owner h, different route matrices A give different +owners \(hA\). The payload view for each route must also be retained. +The checked maps use the unique FULL conjugate \(\Psi_t(A)\), so this +condition holds. The claim concerns emitted scalar and map boundaries. +It excludes quotient covers, internal scalar arithmetic, and native +child interiors. + +The producer confirmed the chronology of pair \((0,2)\): reader zero +has been carried through physical level one. It is not a skipped +physical advance. + +All producer freezes remain unchanged. The later native dispatcher +has a separate freeze and is outside this review. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REPRODUCTION.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REPRODUCTION.json new file mode 100644 index 0000000000..1ac718edf9 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REPRODUCTION.json @@ -0,0 +1,11 @@ +{ + "commands": [ + "python3 check_review.py --output normal", + "python3 -O check_review.py --output optimized" + ], + "normal_optimized_byte_equal": true, + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "receipt_sha256": "18226da65a8eb6e07f716d328451107e97c8905c2c429edfe54608310e97e1a9", + "schema": "independent-fixed-reader-reproduction-v1", + "status": "PASS_INDEPENDENT_FIXED_READER_QUERY_AND_TYPED_DUAL" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REVIEW.md new file mode 100644 index 0000000000..e21b9062e8 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/REVIEW.md @@ -0,0 +1,283 @@ +# Independent review of the fixed-reader query + +The forward query is correct for all three declared D25 pairs. The +literal query restores all 112 source fields. It preserves each arbitrary +target baseline and all 416 outside fields. Its price is 11,168 real +scalar primitives and 2,064 monomial map calls. It uses no native child +and no extra field. + +The sixteen positive H8 carrier phase identities and the retained path +conditions pass independent checks. These results do not verify an +integrated native reuse word. The complete supplier, map price, child +hosting, and recursive precision remain separate. + +The separate typed inverse-adjoint lemma is correct. This review also +emits its late query in memory and checks its exact map on all 640 +arbitrary input columns. This is a check of the late query, not a complete +native backward service. + +## Frozen inputs and method + +The forward source is +`../../bridge-access-20261017/row-capture-access-20261020/REUSE-FREEZE.json`, +SHA-256 +`41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf`. +The separate dual source is `DUAL-FREEZE.json` in that directory, +SHA-256 +`92ffceb625c3a97745892bb0f06a1140e9031ca3dc8085417d54cde9cc61f455`. +The checker validates both freezes and their files before it starts. +It also validates the earlier formation freeze. + +`check_review.py` imports no producer code. It uses exact rational +arithmetic and a separate Z4 polynomial representation. It reads the +actual rank-sixteen native response, row-capture word, and D25 views. +The receipt records their full hashes. + +The review derives \(L=V_P^{-1}V\) from the actual factorization +\(E=I+UV\). The selected minor has determinant 16. The resulting L equals +the emitted reader. The review checks \(LJ=I\), \(E[P,P]=0\), +\(E=I+AL\), and both orders of the code inverse. Here J inserts the +sixteen selected fields and \(A=(E-I)J\). + +Both native providers have the same retained path count. The review +removes 128 H1 events and 122 scalar events that write selected Y. +No retained event reads these selected Y fields. No forward scalar +event feeds Y into X. The last source event is 2638. After the retained +sweep, all source fields are FULL, and the selected Y fields retain +their input type. + +## The algebra needs no inverse response + +Let P select the coordinates that J inserts, so \(PJ=I\). This P is +an operator; in the actual coordinate notation it is \(J^{\mathsf T}\). +Let + +\[ +L_tJ=I,\quad B_t=L_t-P,\quad +C_t=I+JB_t,\quad E_t=I+A_tL_t. +\] + +Then \(B_tJ=0\), so \(C_t^{-1}=I-JB_t\). Direct ordered +multiplication gives + +\[ +E_tC_t^{-1}=I-JB_t+A_tP. +\] + +For a normalized old reader \(L_sJ=I\), put \(B_s=L_s-P\) and +\(M=L_sE_tJ\). It follows that + +\[ +L_sE_tC_t^{-1}=B_s-B_t+MP. +\] + +The six steps in the producer follow: + +1. Add \(B_sX\) to the selected target bank. +2. Add \(PX\) to that bank. +3. Apply \(C_t\) to X. +4. Subtract the new \(PX\) from that bank. +5. Add \(MPX\) to that bank. +6. Apply \(C_t^{-1}\) to X. + +Steps 2 and 4 add \(-B_tX_{\rm initial}\). Step 5 adds +\(ML_tX_{\rm initial}\). Their sum with step 1 is +\(L_sE_tX_{\rm initial}\). The target baseline has coefficient I at +the endpoint. This argument does not commute operators at two stages. + +Neither \(E_t[P,P]=0\) nor invertibility of \(E_t\) is needed for this +identity. The former is a property of the actual inexpensive middle +query. It is not a hypothesis of the general factorization. + +`GENERAL-READER.md` records a separate extension to an arbitrary old +reader. It replaces the two copies by a paid map \(W=L_sJ\). +The actual invoice in this review applies only to \(W=I\). + +## Actual owner paths and source chronology + +The checker reconstructs all 336 D25 routes from the native q values +and the actual orthogonal chart rule. It checks the canonical Z4 +phase identities with a separate coefficient representation. The +canonical operator model itself is inherited from the source supplier +and the earlier formation and D25 reviews. + +The checked reader/service pairs are \((0,1),(0,2),(1,2)\). In each +case the physical level before service t is \(t-1\). The label s +identifies a retained reader. Thus \((0,2)\) assumes that reader \(L_0\) +was carried through stage one. It does not mean a physical jump from +level zero to stage two. + +At the adjacent entry, a selected FULL target becomes its positive +intrinsic line \(Q_p\), with the common exterior retained. An ordinary +hole target becomes I with the same exterior. The checker verifies +448 source/target FULL-to-Q identities and 224 hole-to-I identities +over all ports. It also verifies 672 past/current FULL view identities. +Omission of the positive intrinsic line gives a different phase. + +Each carrier uses eight orthogonal axes perpendicular to its actual +q, plus an explicit output translation. The full phase polynomial is +that of \(F_9Q_p^{-1}\), with no constant phase. All sixteen carriers +pass. The opposite intrinsic sign fails. + +For a term of \(L_sE_t\), the route is + +\[ +\rho_{s,p}\rho_{s,j}\rho_{t,j}\rho_{t,r}. +\] + +The independent multiplication retains this exact order. It combines +terms only if both the input field and the complete route agree. +There are 3,808 terms per pair. Restriction to the selected source +fields gives 696 terms. The first two pairs use 216 distinct middle +routes; the last pair uses 696. + +Every route A is orthogonal and fixes all uncompleted axes. At the +completed level t, its actual view is + +\[ +\Psi_t(A)=F_{9+8t}P_AF_{9+8t}^{-1} + =X_{\delta_A}P_A. +\] + +The checker verifies the entire Z4 difference polynomial and the +inverse translation \(A^{-1}\delta_A\). The map is a single owner and +payload map: the owner read is \(h\mapsto hA\), and the payload map +expresses that source chart in the target chart. + +The review expands the complete literal query. It applies each old +view, code view, temporary source map, scalar gate, and restoration map +in order. Its matrix is compared with the direct \(L_sE_t\) product on +all 640 arbitrary input columns. There is no zero baseline assumption. +The retained X rows are available only after the complete cover sweep. + +Two negative controls test route order. Commuting the middle stage +factors fails for \((1,2)\). Replacing an inverse source map by a second +copy of its forward map also fails. Stage zero is the identity, so it +cannot supply the first negative control. + +## Price and sharper local bounds + +The literal query gives: + +| Part | Real scalar primitives | Monomial maps | +| --- | ---: | ---: | +| Old complement query | 1,760 | 224 | +| Two copies | 256 | 0 | +| Current code and inverse | 3,520 | 448 | +| Middle query | 5,632 | 1,392 | +| Total | 11,168 | 2,064 | + +The middle uses 456 additions with coefficient -1 and 240 with +coefficient +1. It uses eight pairs of scales by 4 and 1/4. +The retained native word has scalar price 6,456. With sixteen H8 +carriers, its prospective profile is + +\[ +1392H_1+64H_2+48H_3+16H_8, +\] + +of total native rank 1,792. The prospective retained-word-plus-query +scalar price is 17,624. These counts do not include a finite price for +the 2,064 query maps, native wrappers, ordinary boundary maps, or +recursive hosting. + +The producer's conservative forward bounds, 972 and binary height 3, +are valid. Exact coefficient cancellation gives stronger bounds at +each emitted scalar or map boundary: + +| Late query | Maximum coefficient row sum | Maximum binary denominator height | +| --- | ---: | ---: | +| Forward | 448 | 2 | +| Inverse-adjoint | \(43/2\) | 3 | + +These values hold for all three pairs. The receipt gives the first +maximal row and exact denominator witnesses. For example, a forward +prefix contains a coefficient -1/4, and a dual prefix contains 1/8. +Thus the indicated coefficient heights cannot be reduced. + +Here the row sum also gives the sharp physical sup norm on the +regular cover. Each coefficient is attached to an input field and a +route A. At a fixed output owner h, distinct A give distinct source +owners \(hA\). The payload view for a given A is uniquely \(\Psi_t(A)\) +and is monomial. Therefore equal field/route terms can be combined +exactly, and the remaining independent source locations can take the +signs that attain the row sum. This statement uses the regular cover. +It does not assert sharpness on a quotient cover. + +The bounds concern complete emitted gates. They do not bound the +internal arithmetic states of a lowered scalar instruction, a native +child, or a recursive caller. They do not supply a complete precision +certificate. + +## The typed inverse-adjoint + +Let \(Q_P\) be the positive intrinsic line on the selected target +fields, with I on the other target fields. Let \(H_R\) be the inverse +intrinsic line on the ordinary target fields, with I on the selected +fields. Put + +\[ +F_{\rm in}=\operatorname{diag}(Q,Q_P),\qquad +F_{\rm out}=\operatorname{diag}(F,FH_R),\qquad A=C_sE_t. +\] + +The exterior factors and cover views belong to these unitary frames. +For an integrated forward word, the physical operator is + +\[ +U=F_{\rm out} +\begin{bmatrix}I&0\\A&I\end{bmatrix}F_{\rm in}^{-1}. +\] + +For a chronological word \(U=G_n\cdots G_1\), its inverse-adjoint is +\(G_n^{-*}\cdots G_1^{-*}\). Thus the chronological gate order stays +the same. Unitary native and monomial gates stay the same. An ADD +\(b\leftarrow b+ca\) becomes \(a\leftarrow a-\overline c b\), and a +real unit SCALE becomes its reciprocal. Therefore + +\[ +U^{-*}=F_{\rm out} +\begin{bmatrix}I&-E_t^*C_s^*\\0&I\end{bmatrix} +F_{\rm in}^{-1}. +\] + +This is an adjoint response, not a reciprocal response. It retains +the selected \(Q_P\) input type. + +The late dual query is checked independently by this gate transform. +It implements \(X\leftarrow X-E_t^*L_s^*Y_P\), retains every selected +Y baseline at its endpoint, and leaves ordinary Y and outside fields +unchanged. Its maps have the same order, and it reads only the FULL +selected Y fields. The complete route in each adjoint coefficient is +the inverse of the forward route. The price is unchanged. The +different prefix bounds are computed separately. + +This proves the conditional circuit lemma and the emitted late query. +It does not replace the missing integrated native forward and backward +replays. It also does not provide a controller that accepts these +boundary types. + +## Reproduction and credit + +Run from this directory: + +```text +python3 check_review.py --output normal +python3 -O check_review.py --output optimized +``` + +Both commands must print +`PASS_INDEPENDENT_FIXED_READER_QUERY_AND_TYPED_DUAL`. +The two `REVIEW-CHECKS.json` files must be byte equal. + +The bridge-access lane supplied the fixed-reader factorization, literal +D25 query, and typed dual lemma. The controller lane supplied the +normalized row capture. The new-core-transfer lane supplied the +rank-sixteen native response. This review supplies independent route, +phase, map-order, and arbitrary-input checks. It adds the arbitrary-reader +form and the sharper local prefix bounds. The bridge-access author +separately checked the regular-cover norm argument and the weaker +algebraic hypotheses. AI research agents produced these local records. + +No publication is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/check_review.py b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/check_review.py new file mode 100644 index 0000000000..d06084e8c0 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/check_review.py @@ -0,0 +1,680 @@ +"""Check the fixed-reader query without producer code imports.""" + +import argparse +from collections import Counter +from fractions import Fraction as F +from functools import cache +import gzip +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parent.parent +PRODUCER = LANES / "bridge-access-20261017/row-capture-access-20261020" +UNIT = tuple(1 << i for i in range(25)) +PIVOTS = (0, 27, 36, 111, 20, 7, 57, 46, 1, 3, 6, 8, 17, 18, 24, 23) +PSET = set(PIVOTS) +REUSE_PIN = "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf" +DUAL_PIN = "92ffceb625c3a97745892bb0f06a1140e9031ca3dc8085417d54cde9cc61f455" +PINS = { + "capture": ( + "controller-followthrough-20261017/row-capture-20261020/" + "run-normal/ROW-CAPTURE.json", + "4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7", + ), + "native": ( + "new-core-transfer-20261017/low-displacement-20261020/" + "odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + ), + "views": ( + "bridge-access-20261017/matched-stage-access-20261018/" + "DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473", + ), +} + + +def require(test, message): + if not test: + raise ValueError(message) + + +def digest(raw): + return sha256(raw).hexdigest() + + +def pinned_json(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + require(digest(raw) == pin, "Pin: " + str(path)) + return json.loads(raw) + + +def put(row, key, value): + value += row.get(key, F(0)) + if value: + row[key] = value + else: + row.pop(key, None) + + +def sparse(raw): + return [{int(j): F(v) for j, v in row.items() if F(v)} for row in raw] + + +def eye(n): + return [{i: F(1)} for i in range(n)] + + +def matmul(a, b): + result = [] + for row in a: + out = {} + for j, value in row.items(): + for k, other in b[j].items(): + put(out, k, value * other) + result.append(out) + return result + + +def invert(a): + n = len(a) + rows = [[a[i].get(j, F(0)) for j in range(n)] + + [F(i == j) for j in range(n)] for i in range(n)] + determinant = F(1) + for j in range(n): + p = next((i for i in range(j, n) if rows[i][j]), None) + require(p is not None, "The pivot minor is a unit over Q") + if p != j: + rows[j], rows[p] = rows[p], rows[j] + determinant = -determinant + value = rows[j][j] + determinant *= value + rows[j] = [v / value for v 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])] + return [{j: v for j, v in enumerate(row[n:]) if v} for row in rows], determinant + + +def scalar_word(rows, word): + result = [dict(row) for row in rows] + for op, dst, src, value in word: + value = F(value) + if op == "scale": + result[dst] = {j: value * v for j, v in result[dst].items()} + else: + require(op == "add" and src != dst, "Scalar ADD") + for j, v in result[src].items(): + put(result[dst], j, value * v) + return result + + +def apply(a, vector): + result = 0 + while vector: + bit = vector & -vector + result ^= a[bit.bit_length() - 1] + vector ^= bit + return result + + +@cache +def product(a, b): + return tuple(apply(a, x) for x in b) + + +def transpose(a): + return tuple(sum(((a[j] >> i) & 1) << j for j in range(25)) + for i in range(25)) + + +def route_product(*args): + result = UNIT + for a in args: + result = product(result, a) + return result + + +def dot(a, b): + return (a & b).bit_count() & 1 + + +def chart(q): + hole = next(i for i in range(9) if not (q >> i) & 1) + vector = q ^ (1 << hole) + order = list(range(9)) + order[0], order[hole] = order[hole], order[0] + basis = tuple((1 << i) ^ (vector if (vector >> i) & 1 else 0) + for i in order) + UNIT[9:] + require(basis[0] == q and product(transpose(basis), basis) == UNIT, + "Independent port chart") + return basis + + +def route(q, stage): + if not stage: + return UNIT + basis = chart(q) + swaps = [basis[j + 1] ^ UNIT[9 + 8 * (stage - 1) + j] for j in range(8)] + return tuple(x ^ xor(v for v in swaps if dot(v, x)) for x in UNIT) + + +def xor(values): + result = 0 + for value in values: + result ^= value + return result + + +@cache +def line_phase(vector, exponent): + exponent %= 4 + linear = tuple(exponent if (vector >> i) & 1 else 0 for i in range(25)) + quadratic = 0 + if exponent & 1: + for i in range(25): + if (vector >> i) & 1: + for j in range(i + 1, 25): + if (vector >> j) & 1: + quadratic ^= 1 << (25 * i + j) + return linear, quadratic + + +ZERO_PHASE = ((0,) * 25, 0) + + +def add_phase(a, b): + return tuple((x + y) % 4 for x, y in zip(a[0], b[0])), a[1] ^ b[1] + + +def minus_phase(a): + return tuple(-x % 4 for x in a[0]), a[1] + + +def sum_phase(terms): + result = ZERO_PHASE + for vector, exponent in terms: + result = add_phase(result, line_phase(vector, exponent)) + return result + + +@cache +def full_phase(level, a=UNIT): + return sum_phase((a[j], 1) for j in range(9 + 8 * level)) + + +def phase_translation(phase): + require(phase[1] == 0 and all(x % 2 == 0 for x in phase[0]), + "The phase difference is a translation") + return sum((x // 2) << i for i, x in enumerate(phase[0])) + + +def routed_matrix(rows, targets, stage, routes): + return [{(r, product(routes[stage, p], routes[stage, r])): value + for r, value in row.items()} + for p, row in zip(targets, rows)] + + +def multiply_routed(a, b): + result = [] + for row in a: + out = {} + for (j, ra), value in row.items(): + for (k, rb), other in b[j].items(): + put(out, (k, product(ra, rb)), value * other) + result.append(out) + return result + + +def real_price(op, value): + value = F(value) + numerator, denominator = abs(value.numerator), value.denominator + require(numerator and denominator & (denominator - 1) == 0, "Dyadic coefficient") + if op == "scale": + require(numerator & (numerator - 1) == 0, "Dyadic unit scale") + return 2 * (abs(numerator.bit_length() - denominator.bit_length()) + (value < 0)) + return 2 * (3 + numerator.bit_length() - 1 + numerator.bit_count() + + denominator.bit_length() - 1) + + +def replay(operations, dual=False): + rows = [{(i, UNIT): F(1)} for i in range(640)] + bounds = [F(1)] * 640 + grid = [0] * 640 + peak, height = F(1), 0 + exact_peak, exact_height = F(1), 0 + norm_witness = None + height_witness = None + bill = Counter() + for index, (op, dst, src, value) in enumerate(operations): + if op == "map": + rows[dst] = {(j, product(value, a)): c for (j, a), c in rows[dst].items()} + bill["maps"] += 1 + continue + if dual and op == "add": + dst, src, value = src, dst, -value + elif dual and op == "scale": + value = 1 / value + bill["real_scalar"] += real_price(op, value) + if op == "scale": + rows[dst] = {j: value * v for j, v in rows[dst].items()} + bounds[dst] *= abs(value) + grid[dst] = max(0, grid[dst] + value.denominator.bit_length() + - abs(value.numerator).bit_length()) + else: + for j, v in rows[src].items(): + put(rows[dst], j, value * v) + bounds[dst] += abs(value) * bounds[src] + grid[dst] = max(grid[dst], grid[src] + value.denominator.bit_length() - 1) + peak, height = max(peak, bounds[dst]), max(height, grid[dst]) + current_norm = sum(abs(v) for v in rows[dst].values()) + current_height = max((v.denominator.bit_length() - 1 for v in rows[dst].values()), + default=0) + if current_norm > exact_peak: + exact_peak = current_norm + norm_witness = {"event_index": index, "target": dst, + "coefficient_terms": len(rows[dst]), + "coefficient_census": dict(Counter(str(c) for c in rows[dst].values()))} + if current_height > exact_height: + exact_height = current_height + (origin, a), coefficient = next( + (key, c) for key, c in rows[dst].items() + if c.denominator.bit_length() - 1 == current_height) + height_witness = {"event_index": index, "target": dst, + "origin": origin, "route": a, "coefficient": str(coefficient)} + return rows, dict(bill), peak, height, { + "coefficient_row_sum_peak": str(exact_peak), + "coefficient_binary_height": exact_height, + "norm_witness": norm_witness, "height_witness": height_witness} + + +def isolation(word, ports): + selected = {112 + p for p in PIVOTS} + frames = list(word["start"]) + require(len(frames) == len(word["final"]) == 640, "All literal input fields") + require(set(word["frames"][1]) == set(UNIT[:9]), "Literal local FULL frame") + require(all(word["frames"][frames[p]] == [ports[p]] for p in range(112)), + "The literal source lines are the actual model ports") + for p in PIVOTS: + frames[112 + p] = frames[p] + initial = list(frames) + count = Counter() + native = Counter() + last_x = None + for i, event in enumerate(word["events"]): + op = event[0] + dst = event[1] if op == "native" else event[1][1] + if dst < 112: + last_x = i + if dst in selected: + count["removed_" + op] += 1 + if op == "native": + require(event[4] == 1, "Removed selected children have rank one") + continue + if op == "native": + _, dst, old, new, rank, _ = event + require(frames[dst] == old, "Retained native frame") + frames[dst] = new + native[rank] += 1 + else: + require(op == "scalar", "Retained event kind") + _, (kind, dst, src, coefficient), frame = event + require(src not in selected, "The retained word does not read selected Y") + require(frames[dst] == frame and (src is None or frames[src] == frame), + "Retained scalar frames") + require(not (dst < 112 and src is not None and src >= 112), + "The source word does not read target fields") + count["retained_scalar"] += real_price(kind, F(coefficient)) + require(count == {"removed_native": 128, "removed_scalar": 122, + "retained_scalar": 6456}, "Native deletion and scalar invoice") + require(last_x == 2638 and len(word["events"]) == 2640, "The complete source cut") + require(all(frames[p] == 1 for p in range(112)), "All source fields are FULL") + require(all(frames[t] == initial[t] for t in selected), "Selected Q fields are retained") + require(all(frames[i] == word["final"][i] for i in range(640) if i not in selected), + "Other final frames") + require(all(word["start"][i] == word["final"][i] for i in range(224, 640)), + "Outside frame endpoints") + require(native == {1: 1392, 2: 64, 3: 48}, "Retained child census") + native[8] += 16 + require(sum(k * n for k, n in native.items()) == 1792, "Prospective native mass") + return {"deletion": dict(count), "last_source_event": last_x, + "prospective_native_profile": dict(native), "prospective_native_mass": 1792} + + +def general_reader_example(): + t = [{1: F(1)}, {0: F(1)}] + w = [{0: F(1), 1: F(1)}, {1: F(1)}] + b = [{0: F(2), 1: F(1)}, {0: F(-1)}] + a = [{0: F(-1)}, {1: F(1)}] + selected_e = [{}, {1: F(2)}] + m = matmul(w, selected_e) + computed_selected = eye(2) + for row, correction in zip(computed_selected, a): + for j, value in correction.items(): + put(row, j, value) + require(computed_selected == selected_e and not selected_e[0] and bool(selected_e[1]), + "The selected response is nonzero and singular") + require(matmul(w, t) != matmul(t, w), "The general reader example does not commute") + + def mv(matrix, vector): + return [sum(value * vector[j] for j, value in row.items()) for row in matrix] + + def add(left, right, sign=1): + return [x + sign * y for x, y in zip(left, right)] + + wrong_copy = False + for column in range(6): + initial = [F(i == column) for i in range(6)] + xp, xr, z = initial[:2], initial[2:4], initial[4:] + ex_p = add(mv(selected_e, xp), mv(matmul(a, t), xr)) + desired = add(z, add(mv(w, ex_p), mv(b, xr))) + z = add(z, mv(b, xr)) + z = add(z, mv(w, xp)) + changed = add(xp, mv(t, xr)) + z = add(z, mv(w, changed), -1) + z = add(z, mv(m, changed)) + restored = add(changed, mv(t, xr), -1) + require(restored == xp and z == desired, "The arbitrary-reader six-step identity") + wrong = add(initial[4:], mv(b, xr)) + wrong = add(wrong, xp) + wrong = add(wrong, changed, -1) + wrong = add(wrong, mv(m, changed)) + wrong_copy |= wrong != desired + require(wrong_copy, "A nonidentity W cannot be replaced by two plain copies") + return {"arbitrary_input_columns": 6, "E_is_singular": True, + "E_selected_block_is_nonzero": True, "W_and_B_t_do_not_commute": True, + "plain_copy_negative_control": "fails"} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--output", type=Path, default=HERE / "normal") + args = parser.parse_args() + frozen = pinned_json(PRODUCER / "REUSE-FREEZE.json", REUSE_PIN) + for name, pin in frozen["files"].items(): + require(digest((PRODUCER / name).read_bytes()) == pin, "Producer file: " + name) + formation = pinned_json(PRODUCER / "FREEZE.json", frozen["formation_freeze_sha256"]) + for name, pin in formation["files"].items(): + require(digest((PRODUCER / name).read_bytes()) == pin, "Formation file: " + name) + dual = pinned_json(PRODUCER / "DUAL-FREEZE.json", DUAL_PIN) + require(digest((PRODUCER / "DUAL.md").read_bytes()) == dual["proof_sha256"], + "The dual proof pin") + require(dual["reuse_freeze_sha256"] == REUSE_PIN, "The dual dependency pin") + sources = {name: pinned_json(LANES / path, pin, path.endswith(".gz")) + for name, (path, pin) in PINS.items()} + capture, native, views = (sources[k] for k in ("capture", "native", "views")) + emitted = json.loads((PRODUCER / "reuse-normal/REUSE-PROGRAM.json").read_bytes()) + require(tuple(capture["pivots"]) == tuple(emitted["pivots"]) == PIVOTS, "Pivots") + model = native["model"] + e, u, v = (sparse(model[k]) for k in ("response", "correction_U", "correction_V")) + expected_e = eye(112) + for row, correction in zip(expected_e, matmul(u, v)): + for j, value in correction.items(): + put(row, j, value) + require(e == expected_e == sparse(capture["response"]), "The actual E = I + UV") + vp = [{j: row[p] for j, p in enumerate(PIVOTS) if p in row} for row in v] + vpi, vp_det = invert(vp) + reader = matmul(vpi, v) + require(reader == sparse(capture["centre_reader"]), "Independent reader derivation") + require(all({j: value for j, value in row.items() if j in PSET} == {p: F(1)} + for row, p in zip(reader, PIVOTS)), "LJ = I") + require(all(not (set(e[p]) & PSET) for p in PIVOTS), "E[P,P] = 0") + a = [{j: e[i].get(p, F(0)) - F(i == p) + for j, p in enumerate(PIVOTS) if e[i].get(p, F(0)) != F(i == p)} + for i in range(112)] + reconstructed_e = eye(112) + for row, correction in zip(reconstructed_e, matmul(a, reader)): + for j, value in correction.items(): + put(row, j, value) + require(reconstructed_e == e, "E = I + A L") + code = eye(112) + inverse = eye(112) + for p, row in zip(PIVOTS, reader): + code[p] = dict(row) + for r, value in row.items(): + if r != p: + inverse[p][r] = -value + require(code == sparse(capture["code"]) and inverse == sparse(capture["code_inverse"]), + "Independent capture maps") + require(matmul(code, inverse) == matmul(inverse, code) == eye(112), "Both inverse orders") + for key, target in (("scalar_word", code), ("inverse_scalar_word", inverse)): + require(scalar_word(eye(112), capture[key]) == target, "Literal capture word: " + key) + require(sum(real_price(op, F(c)) for op, _, _, c in capture[key]) == 1760, + "Capture price: " + key) + require(all(dst in PSET and (src is None or src not in PSET) + for _, dst, src, _ in capture[key]), "Complement-only capture word") + provider_checks = {name: isolation(value["forward"], model["ports"]) + for name, value in native["providers"].items()} + records = {(r["stage"], r["port"]): r for r in views["entries"]} + require(set(records) == {(s, p) for s in range(3) for p in range(112)}, + "All actual D25 views") + routes = {} + phase_checks = Counter() + for (stage, p), record in records.items(): + q = model["ports"][p] + require(record["q"] == q, "Actual native q") + rho = route(q, stage) + routes[stage, p] = rho + require(rho == tuple(record["route_columns"]), "Independent D25 route") + require(product(rho, rho) == UNIT and transpose(rho) == rho + and apply(rho, q) == q, "Route properties") + align = record["literal_stage_alignment"] + for level in range(stage, 3): + actual = add_phase(full_phase(level, rho), line_phase(align["exit_X"], 2)) + require(actual == full_phase(level), "Past-reader FULL view") + phase_checks["full_views"] += 1 + require(align["exit_X"] == align["exit_Y"], "Equal physical output translations") + if stage: + exterior = sum_phase((UNIT[j], 1) for j in range(9, 9 + 8 * stage)) + for name in ("entry_X", "entry_Y"): + actual = add_phase(full_phase(stage - 1, rho), + line_phase(apply(rho, align[name]), 2)) + expected = add_phase(exterior, line_phase(q, 1)) + require(actual == expected and actual != exterior, + "An adjacent physical FULL entry has the positive intrinsic line") + phase_checks["adjacent_full_to_Q"] += 1 + ordinary = add_phase(actual, line_phase(q, -1)) + require(ordinary == exterior, "An adjacent hole entry has the identity type") + phase_checks["adjacent_hole_to_I"] += 1 + carrier_checks = [] + for rec in emitted["carrier_recipes"]: + p, q = rec["port"], model["ports"][rec["port"]] + basis = tuple(rec["basis_columns"]) + expected_basis = chart(q)[1:9] + chart(q)[:1] + UNIT[9:] + require(basis == expected_basis and rec["q"] == q and rec["rank"] == 8, + "Actual H8 carrier basis") + require(tuple(rec["inverse_columns"]) == transpose(basis) + and product(transpose(basis), basis) == UNIT, "Carrier orthogonality") + desired = add_phase(full_phase(0), line_phase(q, -1)) + implemented = add_phase(sum_phase((b, 1) for b in basis[:8]), + line_phase(rec["output_translation"], 2)) + require(implemented == desired, "Exact H8 carrier phase") + require(implemented != add_phase(full_phase(0), line_phase(q, 1)), + "Negative control: the opposite intrinsic sign fails") + carrier_checks.append({"port": p, "q": q, "translation": rec["output_translation"]}) + require({c["port"] for c in carrier_checks} == PSET, "All sixteen carriers") + pair_checks = [] + for pair in emitted["pairs"]: + s, t = pair["reader_stage"], pair["service_stage"] + ls = routed_matrix(reader, PIVOTS, s, routes) + lt = routed_matrix(reader, PIVOTS, t, routes) + et = routed_matrix(e, range(112), t, routes) + direct = multiply_routed(ls, et) + middle = [{key: value for key, value in row.items() if key[0] in PSET} + for row in direct] + require(sum(map(len, direct)) == 3808 and sum(map(len, middle)) == 696, + "Independent owner-path counts") + prefix = 9 + 8 * t + route_table = pair["middle_routes"] + for record in route_table: + a, ai = tuple(record["columns"]), tuple(record["inverse_columns"]) + require(ai == transpose(a) and product(a, ai) == product(ai, a) == UNIT, + "The source map inverse") + require(a[prefix:] == UNIT[prefix:], "Every uncompleted axis is fixed") + delta = phase_translation(add_phase(full_phase(t), minus_phase(full_phase(t, a)))) + reverse_delta = phase_translation( + add_phase(full_phase(t), minus_phase(full_phase(t, ai)))) + require(record["FULL_translation"] == delta + and record["inverse_FULL_translation"] == reverse_delta + and reverse_delta == apply(ai, delta), "Complete map and inverse phases") + for label, stage in (("old_reader_views", s), ("current_code_views", t)): + require({rec["port"] for rec in pair[label]} == set(range(112)), "All FULL views") + for rec in pair[label]: + require(tuple(rec["route_columns"]) == routes[stage, rec["port"]] + and rec["translation"] == + records[stage, rec["port"]]["literal_stage_alignment"]["exit_X"], + "Emitted FULL view") + require(pair["old_reader_view_ports"] == + {"X": sorted(set(range(112)) - PSET), "Y": list(PIVOTS)}, "Old reader fields") + operations = [] + part_invoices = [] + + def scalar(op, dst, src, coefficient): + operations.append((op, dst, src, F(coefficient))) + + def maps(stage, ports, offset): + for p in ports: + operations.append(("map", offset + p, None, routes[stage, p])) + + def mark(name, begin): + part = operations[begin:] + part_invoices.append({ + "part": name, + "maps": sum(op == "map" for op, _, _, _ in part), + "real_scalar": sum(real_price(op, value) for op, _, _, value in part + if op != "map"), + }) + + begin = len(operations) + ordinary = sorted(set(range(112)) - PSET) + maps(s, ordinary, 0) + maps(s, PIVOTS, 112) + for op, p, r, value in capture["scalar_word"]: + scalar(op, 112 + p, r, value) + maps(s, ordinary, 0) + maps(s, PIVOTS, 112) + mark("old_complement", begin) + begin = len(operations) + for p in PIVOTS: + scalar("add", 112 + p, p, 1) + mark("first_copy", begin) + begin = len(operations) + maps(t, range(112), 0) + for op, p, r, value in capture["scalar_word"]: + scalar(op, p, r, value) + maps(t, range(112), 0) + mark("current_code", begin) + begin = len(operations) + for p in PIVOTS: + scalar("add", 112 + p, p, -1) + mark("second_copy", begin) + begin = len(operations) + middle_rows = [{} for _ in PIVOTS] + pindex = {p: i for i, p in enumerate(PIVOTS)} + integer_census = Counter() + for op, p, r, value, route_id in pair["middle_query"]: + value = F(value) + if op == "scale": + require(r is None and route_id is None, "Middle scale format") + middle_rows[pindex[p]] = { + key: value * v for key, v in middle_rows[pindex[p]].items()} + scalar(op, 112 + p, None, value) + else: + require(op == "mapped_add_restore" and p in PSET and r in PSET, + "The middle query reads existing centres") + require(value.denominator == 1, "The middle ADD is integral") + integer_census[str(value)] += 1 + a = tuple(route_table[route_id]["columns"]) + ai = tuple(route_table[route_id]["inverse_columns"]) + put(middle_rows[pindex[p]], (r, a), value) + operations.append(("map", r, None, a)) + scalar("add", 112 + p, r, value) + operations.append(("map", r, None, ai)) + require(middle_rows == middle, "The emitted middle query equals the independent product") + mark("middle", begin) + begin = len(operations) + maps(t, range(112), 0) + for op, p, r, value in capture["inverse_scalar_word"]: + scalar(op, p, r, value) + maps(t, range(112), 0) + mark("current_inverse", begin) + actual, bill, peak, height, exact_prefix = replay(operations) + expected = [{(i, UNIT): F(1)} for i in range(640)] + for p, row in zip(PIVOTS, direct): + for key, value in row.items(): + put(expected[112 + p], key, value) + require(actual == expected, "All 640 arbitrary input columns of the complete query") + require(bill == {"maps": 2064, "real_scalar": 11168} + and peak == 972 and height == 3, "Independent complete query invoice and bounds") + require(exact_prefix["coefficient_row_sum_peak"] == "448" + and exact_prefix["coefficient_binary_height"] == 2, + "Sharper forward bounds at emitted gate boundaries") + actual_dual, dual_bill, dual_peak, dual_height, exact_dual_prefix = replay( + operations, dual=True) + expected_dual = [{(i, UNIT): F(1)} for i in range(640)] + for p, row in zip(PIVOTS, direct): + for (r, a), value in row.items(): + put(expected_dual[r], (112 + p, transpose(a)), -value) + require(actual_dual == expected_dual, "All 640 input columns of the literal late dual query") + require(dual_bill == bill, "The dual query keeps the invoice") + require(exact_dual_prefix["coefficient_row_sum_peak"] == "43/2" + and exact_dual_prefix["coefficient_binary_height"] == 3, + "Sharper dual bounds at emitted gate boundaries") + unordered = [{} for _ in PIVOTS] + for row_index, (p, row) in enumerate(zip(PIVOTS, reader)): + for j, value in row.items(): + for r, other in e[j].items(): + wrong = route_product(routes[s, p], routes[t, j], + routes[s, j], routes[t, r]) + put(unordered[row_index], (r, wrong), value * other) + if s: + require(unordered != direct, "Negative control: inner stage factors cannot commute") + first_map = next((record for record in route_table + if tuple(record["columns"]) != tuple(record["inverse_columns"])), None) + require(first_map is not None, "Negative control has a noninvolutive map") + require(product(tuple(first_map["columns"]), tuple(first_map["columns"])) != UNIT, + "Negative control: repeat of the forward source map does not restore") + pair_checks.append({ + "reader_stage": s, "physical_level_before_service": t - 1, "service_stage": t, + "direct_paths": sum(map(len, direct)), "selected_paths": sum(map(len, middle)), + "distinct_middle_maps": len(route_table), + "middle_integer_census": dict(integer_census), "parts": part_invoices, + "query_invoice": bill, "triangle_prefix_bound": str(peak), "binary_height_bound": height, + "exact_prefix": exact_prefix, + "all_input_columns": 640, "unchanged_outside_fields": 416, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": str(dual_peak), "dual_binary_height_bound": dual_height, + "dual_exact_prefix": exact_dual_prefix, + "ordered_factor_negative_control": "fails" if s else "stage zero is identity", + "wrong_inverse_map_negative_control": "fails", + }) + require({(r["reader_stage"], r["service_stage"]) for r in pair_checks} == + {(0, 1), (0, 2), (1, 2)}, "All three pairs") + output = { + "status": "PASS_INDEPENDENT_FIXED_READER_QUERY_AND_TYPED_DUAL", + "checker_sha256": digest(Path(__file__).read_bytes()), + "producer_reuse_freeze_sha256": REUSE_PIN, + "producer_dual_freeze_sha256": DUAL_PIN, + "source_pins": PINS, "pivot_minor_determinant": str(vp_det), + "providers": provider_checks, "phase_checks": dict(phase_checks), + "H8_carriers": carrier_checks, "pairs": pair_checks, + "general_reader_example": general_reader_example(), + "producer_code_imported": False, + "complete_native_integration_checked": False, + "complete_supplier_claimed": False, + } + args.output.mkdir(parents=True, exist_ok=True) + raw = (json.dumps(output, indent=2, sort_keys=True) + "\n").encode() + (args.output / "REVIEW-CHECKS.json").write_bytes(raw) + print(output["status"]) + print(digest(raw)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/normal/REVIEW-CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/normal/REVIEW-CHECKS.json new file mode 100644 index 0000000000..00610f175c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/normal/REVIEW-CHECKS.json @@ -0,0 +1,635 @@ +{ + "H8_carriers": [ + { + "port": 0, + "q": 11, + "translation": 15 + }, + { + "port": 27, + "q": 38, + "translation": 39 + }, + { + "port": 36, + "q": 146, + "translation": 147 + }, + { + "port": 111, + "q": 191, + "translation": 255 + }, + { + "port": 20, + "q": 161, + "translation": 163 + }, + { + "port": 7, + "q": 21, + "translation": 23 + }, + { + "port": 57, + "q": 56, + "translation": 57 + }, + { + "port": 46, + "q": 140, + "translation": 141 + }, + { + "port": 1, + "q": 19, + "translation": 23 + }, + { + "port": 3, + "q": 67, + "translation": 71 + }, + { + "port": 6, + "q": 13, + "translation": 15 + }, + { + "port": 8, + "q": 37, + "translation": 39 + }, + { + "port": 17, + "q": 81, + "translation": 83 + }, + { + "port": 18, + "q": 145, + "translation": 147 + }, + { + "port": 24, + "q": 385, + "translation": 387 + }, + { + "port": 23, + "q": 321, + "translation": 323 + } + ], + "checker_sha256": "c1caa97a3929c3750e6e663c2d7429297a1e50e7a835264ee7ecde17c47f0b7e", + "complete_native_integration_checked": false, + "complete_supplier_claimed": false, + "general_reader_example": { + "E_is_singular": true, + "E_selected_block_is_nonzero": true, + "W_and_B_t_do_not_commute": true, + "arbitrary_input_columns": 6, + "plain_copy_negative_control": "fails" + }, + "pairs": [ + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 216, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 3584, + 3086, + 2574, + 1550, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 1034, + 1036, + 1, + 1030, + 16, + 32, + 64, + 128, + 256, + 512, + 14, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "stage zero is identity", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 0, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 0, + "selected_paths": 696, + "service_stage": 1, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + }, + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 216, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 917504, + 786446, + 655374, + 393230, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216, + 512, + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 262154, + 262156, + 1, + 262150, + 16, + 32, + 64, + 128, + 256, + 512, + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 14, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "stage zero is identity", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 1, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 0, + "selected_paths": 696, + "service_stage": 2, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + }, + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 696, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 656384, + 787456, + 917504, + 394240, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216, + 512, + 14, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 262154, + 262153, + 4, + 262147, + 16, + 32, + 64, + 128, + 256, + 512, + 11, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 1024, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "fails", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 1, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 1, + "selected_paths": 696, + "service_stage": 2, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + } + ], + "phase_checks": { + "adjacent_full_to_Q": 448, + "adjacent_hole_to_I": 224, + "full_views": 672 + }, + "pivot_minor_determinant": "16", + "producer_code_imported": false, + "producer_dual_freeze_sha256": "92ffceb625c3a97745892bb0f06a1140e9031ca3dc8085417d54cde9cc61f455", + "producer_reuse_freeze_sha256": "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf", + "providers": { + "base": { + "deletion": { + "removed_native": 128, + "removed_scalar": 122, + "retained_scalar": 6456 + }, + "last_source_event": 2638, + "prospective_native_mass": 1792, + "prospective_native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + } + }, + "extra": { + "deletion": { + "removed_native": 128, + "removed_scalar": 122, + "retained_scalar": 6456 + }, + "last_source_event": 2638, + "prospective_native_mass": 1792, + "prospective_native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + } + } + }, + "source_pins": { + "capture": [ + "controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json", + "4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7" + ], + "native": [ + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4" + ], + "views": [ + "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + ] + }, + "status": "PASS_INDEPENDENT_FIXED_READER_QUERY_AND_TYPED_DUAL" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/optimized/REVIEW-CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/optimized/REVIEW-CHECKS.json new file mode 100644 index 0000000000..00610f175c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/optimized/REVIEW-CHECKS.json @@ -0,0 +1,635 @@ +{ + "H8_carriers": [ + { + "port": 0, + "q": 11, + "translation": 15 + }, + { + "port": 27, + "q": 38, + "translation": 39 + }, + { + "port": 36, + "q": 146, + "translation": 147 + }, + { + "port": 111, + "q": 191, + "translation": 255 + }, + { + "port": 20, + "q": 161, + "translation": 163 + }, + { + "port": 7, + "q": 21, + "translation": 23 + }, + { + "port": 57, + "q": 56, + "translation": 57 + }, + { + "port": 46, + "q": 140, + "translation": 141 + }, + { + "port": 1, + "q": 19, + "translation": 23 + }, + { + "port": 3, + "q": 67, + "translation": 71 + }, + { + "port": 6, + "q": 13, + "translation": 15 + }, + { + "port": 8, + "q": 37, + "translation": 39 + }, + { + "port": 17, + "q": 81, + "translation": 83 + }, + { + "port": 18, + "q": 145, + "translation": 147 + }, + { + "port": 24, + "q": 385, + "translation": 387 + }, + { + "port": 23, + "q": 321, + "translation": 323 + } + ], + "checker_sha256": "c1caa97a3929c3750e6e663c2d7429297a1e50e7a835264ee7ecde17c47f0b7e", + "complete_native_integration_checked": false, + "complete_supplier_claimed": false, + "general_reader_example": { + "E_is_singular": true, + "E_selected_block_is_nonzero": true, + "W_and_B_t_do_not_commute": true, + "arbitrary_input_columns": 6, + "plain_copy_negative_control": "fails" + }, + "pairs": [ + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 216, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 3584, + 3086, + 2574, + 1550, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 1034, + 1036, + 1, + 1030, + 16, + 32, + 64, + 128, + 256, + 512, + 14, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "stage zero is identity", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 0, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 0, + "selected_paths": 696, + "service_stage": 1, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + }, + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 216, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 917504, + 786446, + 655374, + 393230, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216, + 512, + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 262154, + 262156, + 1, + 262150, + 16, + 32, + 64, + 128, + 256, + 512, + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 14, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "stage zero is identity", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 1, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 0, + "selected_paths": 696, + "service_stage": 2, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + }, + { + "all_input_columns": 640, + "binary_height_bound": 3, + "direct_paths": 3808, + "distinct_middle_maps": 696, + "dual_binary_height_bound": 3, + "dual_exact_prefix": { + "coefficient_binary_height": 3, + "coefficient_row_sum_peak": "43/2", + "height_witness": { + "coefficient": "1/8", + "event_index": 3160, + "origin": 112, + "route": [ + 656384, + 787456, + 917504, + 394240, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216, + 512, + 14, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 13, + 11, + 7, + 16, + 32, + 64, + 128, + 256 + ], + "target": 0 + }, + "norm_witness": { + "coefficient_census": { + "-1/2": 1, + "-1/4": 8, + "-1/8": 30, + "1": 1, + "1/2": 4, + "1/4": 24, + "1/8": 50 + }, + "coefficient_terms": 118, + "event_index": 3253, + "target": 21 + } + }, + "dual_query_all_input_columns": 640, + "dual_triangle_prefix_bound": "53", + "exact_prefix": { + "coefficient_binary_height": 2, + "coefficient_row_sum_peak": "448", + "height_witness": { + "coefficient": "-1/4", + "event_index": 1185, + "origin": 0, + "route": [ + 262154, + 262153, + 4, + 262147, + 16, + 32, + 64, + 128, + 256, + 512, + 11, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 1024, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ], + "target": 112 + }, + "norm_witness": { + "coefficient_census": { + "-1": 148, + "-1/2": 198, + "-2": 17, + "-3/2": 14, + "1": 40, + "1/2": 186, + "2": 3, + "3/2": 2, + "4": 1 + }, + "coefficient_terms": 609, + "event_index": 1123, + "target": 112 + } + }, + "middle_integer_census": { + "-1": 456, + "1": 240 + }, + "ordered_factor_negative_control": "fails", + "parts": [ + { + "maps": 224, + "part": "old_complement", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "first_copy", + "real_scalar": 128 + }, + { + "maps": 224, + "part": "current_code", + "real_scalar": 1760 + }, + { + "maps": 0, + "part": "second_copy", + "real_scalar": 128 + }, + { + "maps": 1392, + "part": "middle", + "real_scalar": 5632 + }, + { + "maps": 224, + "part": "current_inverse", + "real_scalar": 1760 + } + ], + "physical_level_before_service": 1, + "query_invoice": { + "maps": 2064, + "real_scalar": 11168 + }, + "reader_stage": 1, + "selected_paths": 696, + "service_stage": 2, + "triangle_prefix_bound": "972", + "unchanged_outside_fields": 416, + "wrong_inverse_map_negative_control": "fails" + } + ], + "phase_checks": { + "adjacent_full_to_Q": 448, + "adjacent_hole_to_I": 224, + "full_views": 672 + }, + "pivot_minor_determinant": "16", + "producer_code_imported": false, + "producer_dual_freeze_sha256": "92ffceb625c3a97745892bb0f06a1140e9031ca3dc8085417d54cde9cc61f455", + "producer_reuse_freeze_sha256": "41d689596777344268bca937bb2e7fea302bfff443590aa42e46788409e563bf", + "providers": { + "base": { + "deletion": { + "removed_native": 128, + "removed_scalar": 122, + "retained_scalar": 6456 + }, + "last_source_event": 2638, + "prospective_native_mass": 1792, + "prospective_native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + } + }, + "extra": { + "deletion": { + "removed_native": 128, + "removed_scalar": 122, + "retained_scalar": 6456 + }, + "last_source_event": 2638, + "prospective_native_mass": 1792, + "prospective_native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + } + } + }, + "source_pins": { + "capture": [ + "controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json", + "4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7" + ], + "native": [ + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4" + ], + "views": [ + "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + ] + }, + "status": "PASS_INDEPENDENT_FIXED_READER_QUERY_AND_TYPED_DUAL" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/FREEZE.json new file mode 100644 index 0000000000..467114e5d1 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/FREEZE.json @@ -0,0 +1,13 @@ +{ + "dispatcher_freeze_sha256": "bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331", + "files": { + "REPRODUCTION.json": "939a9fcd92e0d14f7a5aac18c32a514451535ecfb4ab05b5f84f14d104fe2f3d", + "REVIEW.md": "4246f5c4b6113dbf045e4f6ef2b8b874551447ce1653eeb4f34e261facf1fc94", + "check_service.py": "0f34e7a3cebebdf4d43226104079cf0d4038fcdeac9ae3ab5165276b9df61974", + "normal/REVIEW-CHECKS.json": "11219ad28c4fb0d9eb5f485998bd219da228554ee9c78be153911de19873ab42", + "optimized/REVIEW-CHECKS.json": "11219ad28c4fb0d9eb5f485998bd219da228554ee9c78be153911de19873ab42" + }, + "schema": "independent-six-fixed-reader-service-review-v1", + "scope": "Six exact forward data services under the inherited helper contract. No complete supplier claim.", + "service_freeze_sha256": "177d6ae2f3971deac98e3385dda32e82ddabf0c8176e88ac1255323aed8d688f" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REPRODUCTION.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REPRODUCTION.json new file mode 100644 index 0000000000..bfa544dedf --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REPRODUCTION.json @@ -0,0 +1,11 @@ +{ + "commands": [ + "python3 check_service.py --output normal", + "python3 -O check_service.py --output optimized" + ], + "normal_optimized_byte_equal": true, + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "receipt_sha256": "11219ad28c4fb0d9eb5f485998bd219da228554ee9c78be153911de19873ab42", + "schema": "independent-fixed-reader-service-reproduction-v1", + "status": "PASS_INDEPENDENT_SIX_FIXED_READER_D25_SERVICES" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REVIEW.md new file mode 100644 index 0000000000..61a8f56ef1 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/REVIEW.md @@ -0,0 +1,199 @@ +# Independent review of the six joined D25 services + +Both providers pass for all three reader/service pairs +\((s,t)=(0,1),(0,2),(1,2)\). The joined word has the claimed complete +data map on the regular D25 cover. No material defect was found. + +Each service has 17,624 real scalar primitives, native rank 1,792, +and a bound of 5,776 monomial map calls. These are component counts. +The inherited helper host, finite map cost, recursive precision, and +complete supplier remain separate obligations. + +## Inputs and independent method + +The dispatcher freeze has SHA-256 +`bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331`. +The joined-service freeze has SHA-256 +`177d6ae2f3971deac98e3385dda32e82ddabf0c8176e88ac1255323aed8d688f`. +The decompressed joined payload has SHA-256 +`88d25925705e6657656afb727430ce0d541c5e657426166363694d8b66180d13`. + +The separate independent query review has freeze +`d8d782ecc13fdd2d26380fc4b047fc6d6781417ec694fdd3dea910dce04c2e2a`. +This review imports only that pinned independent mathematical helper. +It imports no producer code. + +The local native phase review has freeze +`cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c`. +That review checks the exact line-entry native recipes and endpoint +adapters, including global phase. This review reads its proof and +receipt, rechecks all 35 consumed file hashes, and compares every +inherited component with the new prefix. It does not rerun the +4,194,304 spatial coefficients from that earlier phase check. + +The new checker validates all source freezes and source payloads. It +replays the native prefix with exact fractions and a complete frame +ledger. It checks the DATA phase equations with a separate Z4 +representation, reconstructs the actual owner routes, and then replays +the bundled query on the routed prefix outputs. + +## The native prefix is an exact reviewed component + +For each provider, the new prefix has exactly the first 2,406 events +of the independently reviewed line-entry word. Its frame table, native +recipe table, start and final frames, endpoint adapters, and retained +original indices are unchanged. + +There are 2,390 retained core events, followed by sixteen positive H8 +carrier events. There is no old same-reader query in this prefix. +The selected input records have the same positive intrinsic line and +input adapter as their source port. The 128 input adapters consist of +112 source adapters and sixteen selected target adapters. The 96 +output adapters act only on ordinary targets. + +The independent replay gives the exact local content map: + +\[ +x'=x,\qquad z'_P=z_P,\qquad +y'_R=(y+Ex)_R. +\] + +All 640 input columns are independent. The 416 outside fields remain +fixed. The frame ledger ends with FULL source and selected target +fields; ordinary targets retain their hole frames. The native phase +dependency converts this content statement into the stated physical +local map. + +All scalar additions have equal source and target frames. Every +native transition is a positive nested-frame transition of the +declared rank. The native profile is + +\[ +1392H_1+64H_2+48H_3+16H_8. +\] + +It has 1,520 children, native rank 1,792, and scalar price 6,456. +The exact content coefficient row-sum peak is 22, with binary +denominator height one. + +## Physical stage progress and the complete cover barrier + +The physical input before service t has completed level \(t-1\). +The reader label s does not alter that level. Pair \((0,2)\) therefore +uses a stage-zero reader that has already reached physical level one. + +For each stage t in \(\{1,2\}\), the checker binds all 224 input and +224 output DATA maps to the actual D25 records. It reconstructs each +route \(\rho_{t,p}\) from the native q and port chart. The route is +an orthogonal involution and fixes q and all future axes. + +All 448 input and 448 output Z4 phase equations pass. The equations +include the common exterior, the selected positive intrinsic line, +the ordinary hole, and the exact translation order. Using the entry +translation on the wrong side of its route fails all 448 input checks. + +At the global output of the native prefix, X and selected Y are FULL. +The ordinary Y fields are in their hole frames. The query's current +views are exactly the actual DATA exit views. Every literal query +map also passes its own FULL conjugation and inverse-phase checks. + +For each field, right multiplication by \(\rho_{t,p}\) permutes the +regular cover. Thus distinct body invocations have disjoint data +records for that field. The body computations can be completed under +the inherited helper contract. The complete cover barrier is required +before the global query; a per-body query cannot replace that barrier +without a separate source-availability proof. + +This data partition does not construct a helper host. Each native +body still requires the inherited typed helper supply and restoration +contract. The review does not infer that contract from the data +permutation. + +## Exact global map + +Let \(G=\operatorname{diag}(I_P,q_R)\). Let \(F_\ell\) be FULL on the +first \(9+8\ell\) axes. Let \(E_t\) include the actual current owner +routes and let \(L_s\) be the retained old reader. Define + +\[ +(A_{s,t})_P=L_sE_t,\qquad +(A_{s,t})_R=(E_t)_R. +\] + +The complete service is + +\[ +(F_{t-1}x,\ F_{t-1}Gw) +\longmapsto +(F_tx,\ F_tG(w+A_{s,t}x)). +\] + +The bank w is arbitrary. In particular, its selected records do not +have to be zero or depend on x. If \(w=C_sy\), then the selected +outputs are \(L_s(y+E_tx)\) and the ordinary outputs are +\((y+E_tx)_R\). The normalized row code is a unit, so this +interpretation imposes no restriction on w. + +The checker replays the literal query from the complete routed prefix +state. It keeps a coefficient for each full input-field/owner-route +pair. It checks every one of the 640 independent input columns and +all six provider/stage records. It does not replace different routed +responses with one scalar response. + +The query restores the X array at its FULL cut and does not change +ordinary Y. Across the complete service, the intended X content is +preserved while its physical frame advances from \(F_{t-1}\) to \(F_t\). +All 416 outside fields keep their arbitrary input contents. + +## Price and limits + +The separate late query costs 11,168 scalar primitives and 2,064 +monomial map calls. Its exact content coefficient bound is 448 with +binary denominator height two. This agrees with the independent +query review. + +The complete monomial call bound is: + +| Part | Calls | +| --- | ---: | +| DATA entry and exit | 448 | +| Local endpoint adapters | 224 | +| Two side maps per native child | 3,040 | +| Literal late query | 2,064 | +| Total | 5,776 | + +The complete scalar count is \(6456+11168=17624\). No extra field or +odd division is introduced by this join. Identity maps remain counted +when they occur in the literal instruction stock. + +These bounds concern the emitted content maps. They do not give +internal native-child bounds, primitive arithmetic guards, recursive +parking costs, a finite price for each address map, or a complete +supplier. The review does not claim an improvement to the complete +kappa calculation. + +The earlier typed inverse-adjoint theorem now has a verified forward +data service to which it can apply. This review does not emit or +verify a separately packaged full backward service. + +## Reproduction and credit + +Run from this directory: + +```text +python3 check_service.py --output normal +python3 -O check_service.py --output optimized +``` + +Both runs must print `PASS_INDEPENDENT_SIX_FIXED_READER_D25_SERVICES`, +and the two `REVIEW-CHECKS.json` files must be byte equal. + +The bridge-access lane supplied the D25 dispatcher and reader query. +The new-core-transfer lane supplied the native prefix and joined +payload. The new-native-recipes lane supplied the independent native +phase review. The controller lane supplied the row capture. This +review supplies the independent join, phase, owner-route, arbitrary +input, and invoice checks. AI agents prepared these local records. + +No publication is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/check_service.py b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/check_service.py new file mode 100644 index 0000000000..08e67399dc --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/check_service.py @@ -0,0 +1,378 @@ +"""Review the complete D25 service from pinned local components.""" + +import argparse +from collections import Counter +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 +LANES = HERE.parent.parent +QUERY_REVIEW = HERE.parent / "fixed-reader-reuse-review-20261020" +DISPATCH = LANES / "bridge-access-20261017/row-capture-access-20261020" +CORE = LANES / "new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020" +PHASE_REVIEW = LANES / "new-native-recipes-20261017/line-entry-reuse-review-20261020" +FREEZES = { + "independent_query": (QUERY_REVIEW / "FREEZE.json", + "d8d782ecc13fdd2d26380fc4b047fc6d6781417ec694fdd3dea910dce04c2e2a"), + "dispatcher": (DISPATCH / "INTEGRATION-FREEZE.json", + "bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331"), + "service": (CORE / "SERVICE-FREEZE.json", + "177d6ae2f3971deac98e3385dda32e82ddabf0c8176e88ac1255323aed8d688f"), + "native_phase": (PHASE_REVIEW / "FREEZE.json", + "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c"), + "prefix": (CORE / "PREFIX-FREEZE.json", + "fc3cef0e499e5bc85c25bb0fc88f5ecd12e44b66799e3d793dac37de8d88d26e"), + "query": (CORE / "QUERY-FREEZE.json", + "f111a90f7403f93494e9d1f83ae35dbf7dd72eddc8c9f8bf730d677b4a31402d"), +} +PAYLOADS = { + "dispatcher": (DISPATCH / "integration-v2-normal/DISPATCHER.json", + "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24"), + "service": (CORE / "service-normal/FIXED-READER-SERVICES.json.gz", + "88d25925705e6657656afb727430ce0d541c5e657426166363694d8b66180d13"), + "prefix": (CORE / "prefix-normal/CARRIER-PREFIX.json.gz", + "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e"), + "query": (CORE / "query-normal/ROUTED-QUERY.json.gz", + "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a"), + "line_entry": ( + CORE.parent / "row-only-capture-20261020/reuse-normal/LINE-ENTRY-REUSE.json.gz", + "efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110"), +} + + +def need(test, label): + if not test: + raise ValueError(label) + + +def digest(raw): + return sha256(raw).hexdigest() + + +def read(path, pin, decode_gzip=False): + raw = path.read_bytes() + if decode_gzip: + raw = gzip.decompress(raw) + need(digest(raw) == pin, "Source pin: " + str(path)) + return raw + + +def validate_freeze(path, pin): + value = json.loads(read(path, pin)) + for name, expected in value["files"].items(): + read(path.parent / name, expected) + return value + + +validate_freeze(*FREEZES["independent_query"]) +spec = importlib.util.spec_from_file_location("independent_reuse_math", QUERY_REVIEW / "check_review.py") +r = importlib.util.module_from_spec(spec) +spec.loader.exec_module(r) + + +def binary_rank(vectors): + pivots = {} + for vector in vectors: + while vector: + bit = vector.bit_length() - 1 + if bit not in pivots: + pivots[bit] = vector + break + vector ^= pivots[bit] + return len(pivots) + + +def prefix_replay(word, response): + state = r.eye(640) + live = list(word["start"]) + profile = Counter() + price = 0 + peak = F(1) + height = 0 + for index, event in enumerate(word["events"]): + if event[0] == "native": + _, target, old, new, rank, key = event + need(live[target] == old, "Prefix native frame") + left, right = word["frames"][old], word["frames"][new] + need(binary_rank(left) == len(left) and binary_rank(right) == len(right) + and binary_rank(left + right) == len(right) + and len(right) - len(left) == rank, "Positive nested native rank") + need(word["native_recipes"][key]["rank"] == rank, "Bound native recipe") + live[target] = new + profile[rank] += 1 + else: + need(event[0] == "scalar", "Prefix event grammar") + _, (op, target, origin, coefficient), frame = event + value = F(coefficient) + need(live[target] == frame, "Prefix scalar target frame") + if op == "scale": + state[target] = {j: value * v for j, v in state[target].items()} + else: + need(op == "add" and live[origin] == frame and origin != target, + "Prefix scalar source frame") + for j, v in state[origin].items(): + r.put(state[target], j, value * v) + price += r.real_price(op, value) + peak = max(peak, sum(abs(v) for v in state[target].values())) + height = max(height, max((v.denominator.bit_length() - 1 + for v in state[target].values()), default=0)) + need(target < 224, "No event writes an outside helper") + if index == 2389: + need(all(live[p] == 1 for p in range(112)), "The complete source cut") + expected = r.eye(640) + for p in range(112): + if p not in r.PSET: + for j, value in response[p].items(): + r.put(expected[112 + p], j, value) + need(state == expected, "Independent complete prefix map on 640 input columns") + need(live == word["final"], "Complete prefix frame ledger") + need(all(live[p] == 1 for p in range(112)) + and all(live[112 + p] == 1 for p in r.PIVOTS), "All query fields are FULL") + need(price == 6456 and profile == {1: 1392, 2: 64, 3: 48, 8: 16}, "Prefix price") + need(peak == 22 and height == 1, "Prefix content bounds") + return {"input_columns": 640, "restored_outside_fields": 416, + "native_profile": dict(profile), "native_mass": sum(k * v for k, v in profile.items()), + "native_children": sum(profile.values()), "scalar_primitives": price, + "content_row_sum_peak": str(peak), "content_binary_height": height} + + +def query_replay(word, initial): + state = [dict(row) for row in initial] + scalar, maps = 0, 0 + peak = max(sum(abs(v) for v in row.values()) for row in state) + height = max(v.denominator.bit_length() - 1 for row in state for v in row.values()) + for event in word["events"]: + if event[0] == "map": + _, target, map_index = event + a = tuple(word["maps"][map_index]["columns"]) + state[target] = {(j, r.product(a, b)): v for (j, b), v in state[target].items()} + maps += 1 + else: + need(event[0] == "scalar", "Query event grammar") + _, op, target, origin, coefficient = event + value = F(coefficient) + scalar += r.real_price(op, value) + if op == "scale": + state[target] = {j: value * v for j, v in state[target].items()} + else: + need(op == "add" and origin != target, "Query ADD") + need(origin < 112 or origin - 112 in r.PSET, "No ordinary Y source") + for key, v in state[origin].items(): + r.put(state[target], key, value * v) + peak = max(peak, sum(abs(v) for v in state[target].values())) + height = max(height, max((v.denominator.bit_length() - 1 + for v in state[target].values()), default=0)) + need(target < 112 or target - 112 in r.PSET, "Only FULL query fields are changed") + need(scalar == 11168 and maps == 2064, "Literal query price") + return state, {"scalar_primitives": scalar, "map_calls": maps, + "content_row_sum_peak": str(peak), "content_binary_height": height} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--output", type=Path, default=HERE / "normal") + args = parser.parse_args() + for path, pin in FREEZES.values(): + validate_freeze(path, pin) + data = {key: json.loads(read(path, pin, path.suffix == ".gz")) + for key, (path, pin) in PAYLOADS.items()} + dispatcher, service, prefix, query, old = (data[key] for key in + ("dispatcher", "service", "prefix", "query", "line_entry")) + for path, pin in dispatcher["source_pins"].values(): + read(LANES / path, pin, path.endswith(".gz")) + phase_inputs = json.loads((PHASE_REVIEW / "normal/INPUTS.json").read_bytes()) + for path, pins in phase_inputs.items(): + raw = read(LANES / path, pins["sha256"]) + if "decompressed_sha256" in pins: + need(digest(gzip.decompress(raw)) == pins["decompressed_sha256"], "Phase input payload") + old_path = str(PAYLOADS["line_entry"][0].relative_to(LANES)) + need(phase_inputs[old_path]["decompressed_sha256"] == PAYLOADS["line_entry"][1], + "The inherited phase review binds this exact line-entry word") + need(service["native_prefixes"] == prefix["providers"] == query["native_prefixes"], + "Exact native bundle") + need(service["queries"] == query["queries"], "Exact query bundle") + need(service["services"] == dispatcher["invocations"] + and service["stage_views"] == dispatcher["stage_views"] + and service["contract"] == dispatcher["contract"] + and service["owner_contract"] == dispatcher["owner_contract"], "Exact dispatcher bundle") + need(tuple(service["selected_ports"]) == tuple(prefix["selected_ports"]) == r.PIVOTS, + "Unchanged selected fields") + source = {key: json.loads(read(LANES / path, pin)) + for key, (path, pin) in r.PINS.items() if key in ("capture", "views")} + capture, views = source["capture"], source["views"] + response = r.sparse(prefix["response"]) + need(response == r.sparse(capture["response"]) and prefix["ports"] == old["ports"], + "The actual response and port order") + reader = r.sparse(capture["centre_reader"]) + views_by_id = {(v["stage"], v["port"]): v for v in views["entries"]} + source_query = json.loads((DISPATCH / "reuse-normal/REUSE-PROGRAM.json").read_bytes()) + prefix_reports = {} + for name, word in prefix["providers"].items(): + inherited = old["providers"][name] + need(word["events"] == inherited["events"][:2406], "Exact reviewed native prefix") + need(word["stage_ranges"] == { + "precode": [0, 0], "retained_core": [0, 2390], "selected_line_progress": [2390, 2406]}, + "The prefix has no local late query") + for key in ("start", "final", "frames", "native_recipes", "input_views", + "output_views", "retained_original_event_indices"): + need(word[key] == inherited[key], "Inherited phase or frame bytes: " + key) + need(len(word["input_views"]) == 128 and len(word["output_views"]) == 96, + "Endpoint adapter counts") + need({v["field"] for v in word["input_views"]} == + set(range(112)) | {112 + p for p in r.PIVOTS}, "Every input adapter field") + need({v["port"] for v in word["output_views"]} == set(range(112)) - r.PSET, + "Only ordinary output adapters") + prefix_reports[name] = prefix_replay(word, response) + routes = {(s, p): r.route(prefix["ports"][p], s) for s in range(3) for p in range(112)} + phase_count = Counter() + wrong_entry = 0 + for stage in service["stage_views"]: + t = stage["service_stage"] + need(t in (1, 2) and stage["physical_input_level"] == t - 1 + and stage["physical_output_level"] == t, "Adjacent physical stage") + need(stage["common_exterior_axes"] == list(r.UNIT[9:9 + 8 * t]), "Common exterior") + entries = {v["field"]: v for v in stage["DATA_entry"]} + exits = {v["field"]: v for v in stage["DATA_exit"]} + need(len(stage["DATA_entry"]) == len(stage["DATA_exit"]) == 224 + and set(entries) == set(exits) == set(range(224)), "All DATA fields") + for field in range(224): + p = field % 112 + side = "X" if field < 112 else "Y" + q = prefix["ports"][p] + rho = routes[t, p] + actual = views_by_id[t, p] + align = actual["literal_stage_alignment"] + entry, out = entries[field], exits[field] + full = side == "X" or p in r.PSET + need(tuple(entry["route_columns"]) == tuple(out["route_columns"]) == + tuple(actual["route_columns"]) == rho, "The literal DATA route") + need(entry["side"] == out["side"] == side + and entry["port"] == out["port"] == p, "The boundary field binding") + need(entry["translation_before_route"] == align["entry_" + side] + and entry["translation_after_route"] == r.apply(rho, align["entry_" + side]), + "The literal input translation order") + exit_key = "exit_X" if full else "exit_Y" + need(out["literal_translation_key"] == exit_key + and out["translation_after_route"] == align[exit_key], "The literal output translation") + before = r.full_phase(t - 1, rho) + if not full: + before = r.add_phase(before, r.line_phase(q, -1)) + obtained = r.add_phase(before, r.line_phase(entry["translation_after_route"], 2)) + expected = r.sum_phase((x, 1) for x in r.UNIT[9:9 + 8 * t]) + if full: + expected = r.add_phase(expected, r.line_phase(q, 1)) + need(obtained == expected and entry["intrinsic_input"] == ("Q_p" if full else "I"), + "Exact input Z4 equation") + wrong_entry += r.add_phase(before, r.line_phase(entry["translation_before_route"], 2)) != expected + after = r.full_phase(t, rho) + expected_out = r.full_phase(t) + if not full: + after = r.add_phase(after, r.line_phase(q, -1)) + expected_out = r.add_phase(expected_out, r.line_phase(q, -1)) + need(r.add_phase(after, r.line_phase(out["translation_after_route"], 2)) == expected_out + and out["global_output"] == ("FULL" if full else "FULL*q_p"), "Exact output Z4 equation") + phase_count["entry"] += 1 + phase_count["exit"] += 1 + need(phase_count == {"entry": 448, "exit": 448} and wrong_entry > 0, "Boundary completeness and control") + query_reports = {} + for key, word in service["queries"].items(): + s, t = word["reader_stage"], word["service_stage"] + need(key == f"{s}:{t}", "Literal query labels") + for view in word["maps"]: + a, ai = tuple(view["columns"]), tuple(view["inverse_columns"]) + need(r.product(a, ai) == r.product(ai, a) == r.UNIT + and ai == r.transpose(a), "Literal query map inverse") + need(a[9 + 8 * t:] == r.UNIT[9 + 8 * t:], "No future query axis") + delta = r.phase_translation(r.add_phase(r.full_phase(t), r.minus_phase(r.full_phase(t, a)))) + need(view["translation"] == delta and view["inverse_translation"] == r.apply(ai, delta), + "Every literal query map phase") + pair = next(pair for pair in source_query["pairs"] + if (pair["reader_stage"], pair["service_stage"]) == (s, t)) + current = [{"port": p, "route_columns": list(routes[t, p]), + "translation": views_by_id[t, p]["literal_stage_alignment"]["exit_X"]} + for p in range(112)] + need(pair["current_code_views"] == current, "The query uses the actual DATA output chart") + et = r.routed_matrix(response, range(112), t, routes) + ls = r.routed_matrix(reader, r.PIVOTS, s, routes) + desired = r.multiply_routed(ls, et) + initial = [{(i, r.UNIT): F(1)} for i in range(640)] + for p in range(112): + if p not in r.PSET: + for term, value in et[p].items(): + r.put(initial[112 + p], term, value) + expected = [dict(row) for row in initial] + for p, row in zip(r.PIVOTS, desired): + for term, value in row.items(): + r.put(expected[112 + p], term, value) + result, report = query_replay(word, initial) + need(result == expected, "The complete service map on all 640 input columns") + need(report["content_row_sum_peak"] == "448" and report["content_binary_height"] == 2, + "The complete literal query bounds") + query_reports[key] = report + reports = [] + for record in service["services"]: + name, s, t = record["provider"], record["reader_stage"], record["service_stage"] + key = f"{s}:{t}" + blocks = record["ordered_blocks"] + need([b["op"] for b in blocks] == [ + "DATA_entry", "native_input_adapters", "complete_native_carrier_cover_sweep", + "ordinary_output_adapters", "DATA_exit", "complete_cover_barrier", "fixed_past_reader_query"], + "The exact barrier order") + need(blocks[2]["event_range"] == [0, 2406] and blocks[6]["literal_key"] == key, + "The complete native and query blocks") + need(record["stage_view_record"] == blocks[0]["record"] == blocks[4]["record"] == t - 1 + and service["stage_views"][t - 1]["service_stage"] == t, + "The service selects the actual stage views") + need(all(blocks[i]["provider"] == name and blocks[i]["source"] == "prefix" + for i in (1, 2, 3)), "The service selects one complete native provider") + pair_index = record["query_pair_record"] + bound_pair = source_query["pairs"][pair_index] + need(blocks[6]["pair_record"] == pair_index + and blocks[6]["source"] == "query" and blocks[6]["literal_source"] == "literal_query" + and (bound_pair["reader_stage"], bound_pair["service_stage"]) == (s, t), + "The service selects the actual reader query") + need(record["physical_input_level"] == t - 1 and record["physical_output_level"] == t, + "The reader label is not the physical level") + prefix_report, query_report = prefix_reports[name], query_reports[key] + map_invoice = { + "DATA": 448, "local_endpoint_adapters": 128 + 96, + "native_side_maps": 2 * prefix_report["native_children"], + "late_query": query_report["map_calls"]} + map_invoice["total"] = sum(map_invoice.values()) + scalar = prefix_report["scalar_primitives"] + query_report["scalar_primitives"] + need(scalar == record["scalar_primitives"] == 17624 + and map_invoice == record["map_call_bound"] and map_invoice["total"] == 5776, + "The full service invoice") + reports.append({"provider": name, "reader_stage": s, "service_stage": t, + "all_input_columns": 640, "native_mass": prefix_report["native_mass"], + "scalar_primitives": scalar, "monomial_map_call_bound": map_invoice["total"]}) + need(len(reports) == 6 and {(x["provider"], x["reader_stage"], x["service_stage"]) for x in reports} + == {(p, s, t) for p in prefix_reports for s, t in ((0, 1), (0, 2), (1, 2))}, + "Both providers and all three pairs") + receipt = { + "status": "PASS_INDEPENDENT_SIX_FIXED_READER_D25_SERVICES", + "checker_sha256": digest(Path(__file__).read_bytes()), + "frozen_dependencies": {k: {"path": str(p), "sha256": h} for k, (p, h) in FREEZES.items()}, + "payloads": {k: {"path": str(p), "decompressed_sha256": h} for k, (p, h) in PAYLOADS.items()}, + "native_phase_files_rechecked": len(phase_inputs), + "prefix_reports": prefix_reports, "query_reports": query_reports, + "boundary_phase_checks": dict(phase_count), "wrong_entry_translation_control_failures": wrong_entry, + "services": reports, "producer_code_imported": False, + "native_phase_validation": "Exact bytes of the independently reviewed line-entry components.", + "helper_hosting_reproved": False, "finite_monomial_price_proved": False, + "recursive_precision_proved": False, "complete_supplier_claimed": False, + } + args.output.mkdir(parents=True, exist_ok=True) + raw = (json.dumps(receipt, indent=2, sort_keys=True) + "\n").encode() + (args.output / "REVIEW-CHECKS.json").write_bytes(raw) + print(receipt["status"]) + print(digest(raw)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/normal/REVIEW-CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/normal/REVIEW-CHECKS.json new file mode 100644 index 0000000000..fedfda354b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/normal/REVIEW-CHECKS.json @@ -0,0 +1,172 @@ +{ + "boundary_phase_checks": { + "entry": 448, + "exit": 448 + }, + "checker_sha256": "0f34e7a3cebebdf4d43226104079cf0d4038fcdeac9ae3ab5165276b9df61974", + "complete_supplier_claimed": false, + "finite_monomial_price_proved": false, + "frozen_dependencies": { + "dispatcher": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json", + "sha256": "bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331" + }, + "independent_query": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/FREEZE.json", + "sha256": "d8d782ecc13fdd2d26380fc4b047fc6d6781417ec694fdd3dea910dce04c2e2a" + }, + "native_phase": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json", + "sha256": "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c" + }, + "prefix": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json", + "sha256": "fc3cef0e499e5bc85c25bb0fc88f5ecd12e44b66799e3d793dac37de8d88d26e" + }, + "query": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json", + "sha256": "f111a90f7403f93494e9d1f83ae35dbf7dd72eddc8c9f8bf730d677b4a31402d" + }, + "service": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICE-FREEZE.json", + "sha256": "177d6ae2f3971deac98e3385dda32e82ddabf0c8176e88ac1255323aed8d688f" + } + }, + "helper_hosting_reproved": false, + "native_phase_files_rechecked": 35, + "native_phase_validation": "Exact bytes of the independently reviewed line-entry components.", + "payloads": { + "dispatcher": { + "decompressed_sha256": "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24", + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/DISPATCHER.json" + }, + "line_entry": { + "decompressed_sha256": "efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110", + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/LINE-ENTRY-REUSE.json.gz" + }, + "prefix": { + "decompressed_sha256": "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e", + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/prefix-normal/CARRIER-PREFIX.json.gz" + }, + "query": { + "decompressed_sha256": "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a", + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/query-normal/ROUTED-QUERY.json.gz" + }, + "service": { + "decompressed_sha256": "88d25925705e6657656afb727430ce0d541c5e657426166363694d8b66180d13", + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/service-normal/FIXED-READER-SERVICES.json.gz" + } + }, + "prefix_reports": { + "base": { + "content_binary_height": 1, + "content_row_sum_peak": "22", + "input_columns": 640, + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "restored_outside_fields": 416, + "scalar_primitives": 6456 + }, + "extra": { + "content_binary_height": 1, + "content_row_sum_peak": "22", + "input_columns": 640, + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "restored_outside_fields": 416, + "scalar_primitives": 6456 + } + }, + "producer_code_imported": false, + "query_reports": { + "0:1": { + "content_binary_height": 2, + "content_row_sum_peak": "448", + "map_calls": 2064, + "scalar_primitives": 11168 + }, + "0:2": { + "content_binary_height": 2, + "content_row_sum_peak": "448", + "map_calls": 2064, + "scalar_primitives": 11168 + }, + "1:2": { + "content_binary_height": 2, + "content_row_sum_peak": "448", + "map_calls": 2064, + "scalar_primitives": 11168 + } + }, + "recursive_precision_proved": false, + "services": [ + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "base", + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 1 + }, + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "extra", + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 1 + }, + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "base", + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 2 + }, + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "extra", + "reader_stage": 0, + "scalar_primitives": 17624, + "service_stage": 2 + }, + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "base", + "reader_stage": 1, + "scalar_primitives": 17624, + "service_stage": 2 + }, + { + "all_input_columns": 640, + "monomial_map_call_bound": 5776, + "native_mass": 1792, + "provider": "extra", + "reader_stage": 1, + "scalar_primitives": 17624, + "service_stage": 2 + } + ], + "status": "PASS_INDEPENDENT_SIX_FIXED_READER_D25_SERVICES", + "wrong_entry_translation_control_failures": 448 +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/optimized/REVIEW-CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/optimized/REVIEW-CHECKS.json new file mode 100644 index 0000000000..fedfda354b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/fixed-reader-service-review-20261020/optimized/REVIEW-CHECKS.json @@ -0,0 +1,172 @@ +{ + "boundary_phase_checks": { + "entry": 448, + "exit": 448 + }, + "checker_sha256": "0f34e7a3cebebdf4d43226104079cf0d4038fcdeac9ae3ab5165276b9df61974", + "complete_supplier_claimed": false, + "finite_monomial_price_proved": false, + "frozen_dependencies": { + "dispatcher": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json", + "sha256": "bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331" + }, + "independent_query": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/fixed-reader-reuse-review-20261020/FREEZE.json", + "sha256": 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Two advances reach a code +with only scalar and translation factors; four return the entry +code. A following advance F_- Q returns q C q directly to C L. +The F operators need not be equal if each commutation condition +holds. Interleaved operations need their own typed endpoint checks. + +For a diagonal routed operator diag(F_p), the precise scalar-code +test is + +```text +[diag(F_p),C]_(p,r) = C_(p,r) (F_p-F_r). +``` + +Thus a nonzero code edge needs equal actual advances or a proved +intertwiner. Nominal labels do not establish this operator identity. + +The actual native caller takes physical inputs (a,b)=(Qx,y) and +returns (F x',Fq y'). Its forward and backward logical responses +are y'=y+Ex and x'=x-E^T y. Therefore the physical maps are + +```text +diag(Fq,Fq) [[I,0],[E q,I]], +diag(Fq,Fq) [[I,-Q E^T],[0,I]]. +``` + +The extra odd phase in each cross-bank map remains. Diagonalizing E +does not by itself admit these complete calls. A final raw decode +also needs Q C^-1 Q, not the cheap scalar inverse alone. + +The root moving-code theorem is valid with these boundaries. Its +rank16 primitive gives an encoded endpoint, not a raw endpoint. +The complete supplier must still bind the actual routed chronology, +all cross-bank operations, code transitions, borrowed restoration, +productive child hosting, and the final decode. + +## Reproduction, credit, and status + +Run `python3 -I -B check_moving_code.py` and +`python3 -O -I -B check_moving_code.py`. Both must print +`PASS_INDEPENDENT_MOVING_CODE` and produce identical files. + +The coherent-port lane supplied the corrected reader and the +rank30 square code. The new-core-transfer lane supplied both actual +responses and the rank16 pivot code. The native-escape lane supplied +the short B block word and fixed-odd contracts. The root supplied +the reuse-cycle statement. This review independently checks their +matrix claims and emits complete paid entry swaps. It uses AI +assistance. No PR, publication, or kappa improvement is claimed. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.json new file mode 100644 index 0000000000..c04795a6b8 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.json @@ -0,0 +1,12 @@ +{ + "addendum_sha256": "f09813d9bc6cab3f954c6e08bb49ac45553169f19e1af9080f54db17739e3506", + "moving_code_review_freeze_sha256": "0432a54d1e99122b61472c203a590ea8bd8508f13e3c80a086eb42430ecfc279", + "phase_inverse_review_freeze_sha256": "ce66823499be95adcd980333c8e49c394fa9c0a08927d099c3bfc5fd57edf7d6", + "source_files_changed": false, + "source_pins": { + "MOVING-CENTRE-CODE-20261020.md": "9114b715f46f16cfd7d84854fc6a98cf055b2648067e99f469b5e9afe45e7a60", + "PHASE-CODE-FREEZE-20261020.json": "a568ac6ed82fd9f8d3165dbcc64fbe76adae8ae2c23a1120e2149ddae380fc58", + "RANK30-PHASE-SECTION-20261020.md": "a73e10987a39383feee05fa989e993449614428d1f69fc12842f879971573b66" + }, + "status": "ROOT_PROOFS_REVIEWED_WITH_TWO_WORDING_QUALIFICATIONS" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.md b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.md new file mode 100644 index 0000000000..696c4fe88f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/ROOT-PROOF-ADDENDUM.md @@ -0,0 +1,43 @@ +# Review of the final root proofs + +This addendum records a direct read of the final root proof bytes: + +```text +root/MOVING-CENTRE-CODE-20261020.md +9114b715f46f16cfd7d84854fc6a98cf055b2648067e99f469b5e9afe45e7a60 + +root/RANK30-PHASE-SECTION-20261020.md +a73e10987a39383feee05fa989e993449614428d1f69fc12842f879971573b66 + +root/PHASE-CODE-FREEZE-20261020.json +a568ac6ed82fd9f8d3165dbcc64fbe76adae8ae2c23a1120e2149ddae380fc58 +``` + +The moving-code theorem, generic scalar conjugator, phase order, +four-step cycle, opposite-sign return, and actual constant matrices +agree with the independent proof in `REVIEW.md`. The cost rows agree +with `CHECKS.json`. The text distinguishes the separate centre-bank +swap from the code on the existing 112 fields. It retains the final +decode, routed commutation, interleaved caller, and recursive cost +as open obligations. + +The older phase proof agrees with the independently checked character +certificate and physical inverse kernel. Its exact norm 88/5, common +denominator 120, and required odd primes 3 and 5 are supported by +the frozen phase-section review. + +Two wording qualifications apply: + +1. The statement that the unnormalized sum code is dyadic also requires + dyadic U and V, in addition to a dyadic U_P^-1. Both actual source + factors have that property. It is not a consequence of the general + scalar hypotheses alone. For example, U=1 and V=1/3 have U_P^-1=1 + but a non-dyadic sum code V. +2. In the older proof, QU has invertible cross-matrix T with VQ. + It is a right inverse of the normalized reader T^-1 VQ. The + displayed equation (VQ)(QU)=T is correct; the word "section" must + use that normalization. + +These qualifications do not change either actual construction or +any numerical result. The frozen source files were not changed. +This addendum does not review the separate D11 route32 extension. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py new file mode 100644 index 0000000000..ec317d8353 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py @@ -0,0 +1,410 @@ +"""Check the actual constant readers and complete entry words.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from math import lcm +from pathlib import Path +import gzip +import json + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SELF_PIN = sha256(Path(__file__).read_bytes()).hexdigest() +SOURCE = LANES / "new-core-transfer-20261017/low-displacement-20261020" +SOURCES = { + "rank30": (SOURCE / "run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", False), + "rank16": (SOURCE / "odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", True), + "directions": ( + LANES / "history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5", True), + "actual_data_views": ( + LANES / "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473", False), + "constant_word_proof": ( + LANES / "native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md", + "d231301931e0877825b9ff3b4005dff865268d6e0557e8f8e05766375543e86a", False), + "entry_code_proof": ( + LANES / "coherent-port/section-entry-20261020/SECTION.md", + "8b1eaa55da0ce4b15d1618f0fa7279977be2fb59f86cfbd31604b071795b44ea", False), + "rank30_code": ( + LANES / "coherent-port/section-entry-20261020/SECTION.json", + "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7", False), + "rank16_code": ( + SOURCE / "pivot-codes/final-normal/PIVOT-CODES.json", + "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", False), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def sparse(rows): + return [{int(j): F(c) for j, c in row.items()} for row in rows] + + +def clean(row): + return {j: c for j, c in row.items() if c} + + +def plus(a, b, scale=F(1)): + out = dict(a) + for j, c in b.items(): + out[j] = out.get(j, F(0)) + scale*c + return clean(out) + + +def product(a, b): + out = [] + for row in a: + result = {} + for j, c in row.items(): + result = plus(result, b[j], c) + out.append(result) + return out + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def inverse(a): + n = len(a) + rows = [[a[i].get(j, F(0)) for j in range(n)] + + [F(i == j) for j in range(n)] for i in range(n)] + determinant = F(1) + for j in range(n): + pivot = next(i for i in range(j, n) if rows[i][j]) + if pivot != j: + rows[pivot], rows[j] = rows[j], rows[pivot] + 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])] + return [clean({j: rows[i][n+j] for j in range(n)}) for i in range(n)], determinant + + +def add(target, source, c): + return ["ADD", target, source, c.numerator, c.denominator] + + +def scale(target, c): + n, d = abs(c.numerator), c.denominator + need(n & (n-1) == 0 and d & (d-1) == 0, "A dyadic unit scale") + word = [] + word += [["DOUBLE", target]]*(n.bit_length()-1) + word += [["HALF", target]]*(d.bit_length()-1) + if c < 0: + word.append(["NEGATE", target]) + return word + + +def reverse_word(word): + inverse_op = {"DOUBLE": "HALF", "HALF": "DOUBLE", + "NEGATE": "NEGATE", "MUL_ODD": "DIV_ODD", + "DIV_ODD": "MUL_ODD", "TRANSLATE": "TRANSLATE"} + result = [] + for gate in reversed(word): + if gate[0] == "ADD": + result.append(add(gate[1], gate[2], -F(gate[3], gate[4]))) + else: + result.append([inverse_op[gate[0]], *gate[1:]]) + return result + + +def b_word(rank, b): + word = [] + if rank == 30: + for i in range(0, 16, 2): + x, y = 112+i, 113+i + word.append(add(y, x, F(-1))) + word.append(["MUL_ODD", x, 3]) + word.append(add(x, y, F(-1))) + word += [["DOUBLE", y], ["NEGATE", x], ["NEGATE", y]] + for i in range(16, rank): + need(b[i] == {i: b[i][i]}, "The small block is scalar") + odd = int(-b[i][i]) + need(odd in (3, 5), "Actual odd clique size") + word += [["MUL_ODD", 112+i, odd], ["NEGATE", 112+i]] + else: + need(rank == 16, "The rank16 word") + for i in range(rank): + if i < 8: + word.append(["MUL_ODD", 112+i, 3]) + word += scale(112+i, F(-2)) + else: + word += scale(112+i, F(-8)) + return word + + +def apply_gate(state, gate): + op, target = gate[:2] + if op == "ADD": + state[target] = plus(state[target], state[gate[2]], F(gate[3], gate[4])) + elif op == "TRANSLATE": + state[target] = {(field, g ^ gate[2]): c for (field, g), c in state[target].items()} + else: + factors = {"DOUBLE": F(2), "HALF": F(1, 2), "NEGATE": F(-1)} + if op == "MUL_ODD": + c = F(gate[2]) + elif op == "DIV_ODD": + c = F(1, gate[2]) + else: + c = factors[op] + state[target] = {j: c*x for j, x in state[target].items()} + + +def word_invoice(word): + scalar = 0 + odd = Counter() + maps = 0 + for gate in word: + op = gate[0] + if op == "ADD": + c = F(gate[3], gate[4]) + n, d = abs(c.numerator), c.denominator + need(d & (d-1) == 0, "The ADD word is dyadic") + scalar += 2*(1+n.bit_length()+n.bit_count()+d.bit_length()) + elif op == "TRANSLATE": + maps += 1 + elif op in ("MUL_ODD", "DIV_ODD"): + odd[op+"_"+str(gate[2])] += 1 + else: + scalar += 2 + return {"dyadic_real_primitives": scalar, "uniform_translation_map_calls": maps, + "complex_odd_scans": dict(sorted(odd.items())), "literal_opcodes": len(word), + "owned_array_count": 0, "new_native_children": 0} + + +def summary_matrix(a): + return {"nonzero_entries": sum(map(len, a)), + "denominator_lcm": lcm(*(c.denominator for row in a for c in row.values())), + "infinity_norm": str(max(sum(map(abs, row.values())) for row in a))} + + +def gf2_rank(vectors): + basis = {} + for x in vectors: + while x: + bit = x.bit_length()-1 + if bit in basis: + x ^= basis[bit] + else: + basis[bit] = x + break + return len(basis) + + +def square_code_check(name, payload, u, d, e, centre): + rank = len(d) + if name == "rank30": + code, code_inverse = sparse(payload["C0"]), sparse(payload["C0_inverse"]) + carriers = payload["selected_carriers"] + minor = [u[p] for p in carriers] + minor_inverse, det = inverse(minor) + need(str(det) == payload["minor_determinant"] == "-1/256", "Actual unit minor") + need(minor_inverse == sparse(payload["minor_inverse"]), "Independent actual minor inverse") + need(all(c.denominator == 1 for row in minor_inverse for c in row.values()), + "The minor inverse is integral") + u_minor_inverse = product(u, minor_inverse) + expected = [] + carrier_index = {p: j for j, p in enumerate(carriers)} + for p in range(112): + if p in carrier_index: + expected.append(d[carrier_index[p]]) + else: + expected.append(plus({p: F(1)}, {carriers[j]: -c for j, c in u_minor_inverse[p].items()})) + need(code == expected, "The normalized section code is the stated physical matrix") + target = identity(112) + for i, p in enumerate(carriers): + target[p] = {carriers[j]: c for j, c in centre[i].items()} + need(target == sparse(payload["encoded_response"]), "The actual encoded response") + else: + code, code_inverse = sparse(payload["code"]), sparse(payload["code_inverse"]) + carriers = payload["pivots"] + need(len(carriers) == rank and len(set(carriers)) == rank, "Actual sixteen pivots") + target = identity(112) + for i, p in enumerate(carriers): + target[p] = {p: F(-5 if i < 8 else -7)} + need(target == sparse(payload["diagonal_response"]), "Diagonal action in physical pivot slots") + for word_name, expected in (("code", code), ("inverse_code", code_inverse)): + state = identity(112) + for op, target_field, source_field, coefficient in payload["scalar_words"][word_name]: + c = F(coefficient) + if op == "add": + state[target_field] = plus(state[target_field], state[source_field], c) + else: + need(op in ("scale", "fixed_multiply", "fixed_divide"), "Actual pivot opcode") + if op == "fixed_divide": + c = 1/c + state[target_field] = {j: c*x for j, x in state[target_field].items()} + need(state == expected, "Independent pivot word replay: "+word_name) + need(product(code, code_inverse) == product(code_inverse, code) == identity(112), + "Both actual square-code inverse orders") + need(product(product(code, e), code_inverse) == target, "Full C E C^-1 endpoint") + return {"all_input_columns": 112, "carriers": carriers, + "code": summary_matrix(code), "inverse": summary_matrix(code_inverse), + "encoded_response_diagonal": all(set(row) == {i} for i, row in enumerate(target)), + "literal_pivot_words_checked": name == "rank16", + "normalized_section_form_checked": name == "rank30"} + + +def main(): + data = {} + for name, (path, pin, compressed) in SOURCES.items(): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Source pin: "+name) + if path.suffix != ".md": + data[name] = json.loads(raw) + q = [row["q"] for row in data["directions"]["transfers"]] + actual_q = {row["port"]: row["q"] for row in data["actual_data_views"]["entries"] if row["stage"] == 0} + need(q == [actual_q[i] for i in range(112)], "All actual directions") + results, programs = {}, {} + for name in ("rank30", "rank16"): + model = data[name].get("model", data[name]) + u, v = sparse(model["correction_U"]), sparse(model["correction_V"]) + e, ei = sparse(model["response"]), sparse(model["response_inverse"]) + r = len(v) + need(len(u) == len(e) == len(ei) == 112, "Actual array dimensions") + uv = product(u, v) + need(e == [plus(row, {i: F(1)}) for i, row in enumerate(uv)], "E=I+UV") + need(product(e, ei) == product(ei, e) == identity(112), "Actual E inverse in both orders") + b = product(v, u) + bi, determinant_b = inverse(b) + need(product(b, bi) == product(bi, b) == identity(r), "B0 inverse in both orders") + m = [plus(row, {i: F(1)}) for i, row in enumerate(b)] + mi, determinant_m = inverse(m) + d = product(bi, v) + need(product(d, u) == identity(r), "D0 U=I") + if r == 30: + expected = [] + for i in range(0, 16, 2): + expected += [{i: F(-4), i+1: F(1)}, {i: F(2), i+1: F(-2)}] + expected += [{i: F(-len(clique))} for i, clique in enumerate(model["small_cliques"], 16)] + need(b == expected and determinant_m == 2**25, "Actual rank30 small blocks and determinant") + else: + need(b == [{i: F(-6 if i < 8 else -8)} for i in range(16)], "Actual rank16 constant reader") + need(determinant_m == 35**8, "Rank16 determinant") + expected_ei = [plus({i: F(1)}, row, F(-1)) + for i, row in enumerate(product(product(u, mi), v))] + need(ei == expected_ei, "Actual full inverse agrees with the centre code") + square_code = square_code_check(name, data[name+"_code"], u, d, e, m) + + bw = b_word(r, b) + bwi = reverse_word(bw) + for word, matrix in ((bw, b), (bwi, bi)): + state = [{(i, 0): F(1)} for i in range(112+r)] + for gate in word: + apply_gate(state, gate) + need(state[:112] == [{(i, 0): F(1)} for i in range(112)], "B0 word does not change data") + need(state[112:] == [{(112+j, 0): c for j, c in row.items()} for row in matrix], + "Actual B0 word matrix") + for gate in reverse_word(word): + apply_gate(state, gate) + need(state == [{(i, 0): F(1)} for i in range(112+r)], "Literal inverse order") + + u_adds = [add(p, 112+j, c) for p, row in enumerate(u) for j, c in sorted(row.items())] + v_adds = [add(112+i, p, -c) for i, row in enumerate(v) for p, c in sorted(row.items())] + translations = [["TRANSLATE", p, q[p]] for p in range(112)] + middle = bw+v_adds+bwi + word = translations+u_adds+middle+u_adds+[["NEGATE", 112+i] for i in range(r)]+translations + state = [{(i, 0): F(1)} for i in range(112+r)] + max_norm, max_odd_height = F(1), {3: 0, 5: 0, 7: 0} + for gate in word: + apply_gate(state, gate) + row = state[gate[1]] + max_norm = max(max_norm, sum(map(abs, row.values()))) + for c in row.values(): + odd = c.denominator + while odd % 2 == 0: + odd //= 2 + for prime in max_odd_height: + height = 0 + while odd % prime == 0: + height += 1 + odd //= prime + max_odd_height[prime] = max(max_odd_height[prime], height) + need(odd == 1, "No other odd denominator") + ud = product(u, d) + expected = [] + for p, row in enumerate(ud): + out = {(p, 0): F(1)} + out = plus(out, {(j, q[p] ^ q[j]): -c for j, c in row.items()}) + out = plus(out, {(112+j, q[p]): c for j, c in u[p].items()}) + expected.append(out) + expected += [{(p, q[p]): c for p, c in row.items()} for row in d] + need(state == expected, "All arbitrary input columns of the physical entry swap") + for gate in word: + apply_gate(state, gate) + need(state == [{(i, 0): F(1)} for i in range(112+r)], "Two complete entry swaps restore all fields") + invoice = word_invoice(word) + need(invoice["dyadic_real_primitives"] == (5076 if r == 30 else 4448), "Exact scalar bill") + need(invoice["uniform_translation_map_calls"] == 224, "Two complete translation passes") + + # A coefficient check suffices for the free-Q identities: + # D_out J_out = B^-1 V Q^-1 Q U and + # J_out B D_out = Q (U B B^-1 V) Q^-1. + need(product(product(u, b), d) == uv, "Exact output correction coefficients") + need(product(m, mi) == product(mi, m) == identity(r), "Centre response inverse") + obstruction = [] + if r == 16: + for i, clique in enumerate(model["small_cliques"]): + lines = [q[p] for p in clique] + chi = next(x for x in range(512) + if sum(1-2*((x & line).bit_count() % 2) for line in lines) == 0) + obstruction.append({"clique": i, "ports": clique, "direction_rank": gf2_rank(lines), + "zero_character": chi, + "signs": [1-2*((chi & line).bit_count() % 2) for line in lines]}) + need(gf2_rank(lines) == 8, "Each actual even clique has independent directions") + serial = lambda a: [{str(j): str(c) for j, c in sorted(row.items())} for row in a] + programs[name] = {"B0": serial(b), "B0_inverse": serial(bi), "D0": serial(d), + "centre_response": serial(m), "centre_response_inverse": serial(mi), + "B0_word": bw, "B0_inverse_word": bwi, "entry_word": word, + "layout": {"data": [0, 111], "centres": [112, 111+r]}, + "scalar_endpoint": "((I-U D0)a+Uz,D0a)", + "physical_endpoint": "((I-L U D0 L)a+L Uz,D0 L a)"} + results[name] = { + "correction_rank": r, "arbitrary_input_fields": 112+r, + "B0_determinant": str(determinant_b), "centre_determinant": str(determinant_m), + "B0_inverse": summary_matrix(bi), "D0": summary_matrix(d), + "centre_response_inverse": summary_matrix(mi), + "entry_invoice": invoice, "middle_shear_invoice": word_invoice(middle), + "max_atomic_opcode_prefix_row_norm": str(max_norm), + "max_atomic_opcode_prefix_odd_height": max_odd_height, + "old_phase_section_singular_witnesses": obstruction, + "physical_translation_group_ring_replay": True, + "both_literal_B0_inverse_orders": True, + "both_entry_swap_applications_restore_all_inputs": True, + "square_code": square_code, + } + raw = (json.dumps(programs, sort_keys=True, separators=(",", ":"))+"\n").encode() + (HERE/"MOVING-CODE-PROGRAM.json.gz").write_bytes(gzip.compress(raw, mtime=0)) + need(sha256(Path(__file__).read_bytes()).hexdigest() == SELF_PIN, "Checker stayed fixed") + receipt = { + "status": "PASS_INDEPENDENT_MOVING_CODE", + "checker_sha256": SELF_PIN, + "source_pins": {name: {"path": str(path), "sha256": pin, "decompressed": compressed} + for name, (path, pin, compressed) in SOURCES.items()}, + "results": results, + "code_cycle_Q_exponents": [[0, 2], [3, 3], [2, 0], [1, 1], [0, 2]], + "program_decompressed_sha256": sha256(raw).hexdigest(), + "scope": "Actual matrices, complete arbitrary-input entry words, and all-width algebra. The native phase premise, productive centre lifetime, legal global routes, odd-grid admission, and complete recursive cost remain separate.", + } + (HERE/"CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True)+"\n") + print(receipt["status"]) + print(json.dumps(results, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/CHECKS.json new file mode 100644 index 0000000000..315990c89b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/CHECKS.json @@ -0,0 +1,197 @@ +{ + "D_character_entry_checks": 421888, + "D_kernel": { + "coefficients_per_row": [ + 898, + 936, + 936, + 936, + 936, + 924, + 902, + 936, + 930, + 930, + 930, + 930, + 886, + 936, + 890, + 936, + 80, + 80, + 80, + 80, + 80, + 80, + 80, + 80, + 80, + 12, + 12, + 12, + 80, + 80 + ], + "common_denominator": 120, + "denominator_witnesses": { + "2": { + "coefficient": "1/20", + "input": 0, + "output": 0, + "translation": 11 + }, + "3": { + "coefficient": "1/30", + "input": 0, + "output": 0, + "translation": 16 + }, + "5": { + "coefficient": "1/20", + "input": 0, + "output": 0, + "translation": 11 + } + }, + "exact_physical_infinity_norm": "1666/15", + "nonzero_coefficients": 15688, + "norm_maximizing_rows": [ + 5 + ] + }, + "J_physical_row_norm": "3", + "J_scalar_primitives": 1600, + "additive_D_dyadic_primitives": 204768, + "additive_D_odd_scans": { + "complex_divide15": 30, + "complex_multiply15": 30 + }, + "additive_D_translation_maps": 11624, + "all_width_statement": "Uniform translations form F2^9 at every positive width; Fourier blocks depend only on the XOR of the column characters. The emitted inverse is the same group-algebra element at every width.", + "character_count": 512, + "checker_sha256": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010", + "complete_swap_dyadic_primitives": 208028, + "complete_swap_odd_scans": { + "complex_divide15": 30, + "complex_multiply15": 30 + }, + "complete_swap_translation_maps": 12072, + "inverse_character_common_denominator": 60, + "inverse_character_row_norm": "53/5", + "inverse_kernel": { + "coefficients_per_row": [ + 150, + 160, + 160, + 160, + 160, + 160, + 154, + 160, + 160, + 160, + 160, + 160, + 150, + 160, + 150, + 160, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 4, + 4, + 4, + 16, + 16 + ], + "common_denominator": 120, + "denominator_witnesses": { + "2": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + }, + "3": { + "coefficient": "-1/30", + "input": 0, + "output": 0, + "translation": 16 + }, + "5": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + } + }, + "exact_physical_infinity_norm": "88/5", + "nonzero_coefficients": 2712, + "norm_maximizing_rows": [ + 5 + ] + }, + "large_block_dimension": 16, + "odd_denominator_character_witnesses": { + "3": { + "chi": 0, + "coefficient": "-1/3", + "column": 0, + "row": 0 + }, + "5": { + "chi": 0, + "coefficient": "-1/5", + "column": 16, + "row": 16 + } + }, + "program_decompressed_sha256": "1e281c1a83cc22897afba6df32d707a6698184bac348fc4f2c9cd3a8a55b6c55", + "scalar_blocks": 14, + "scope": "All-width algebra and a true additive physical query lowering with explicit odd-scan obligations. No complete recursive finite invoice or caller cohort is assumed.", + "source_pins": { + "actual_data_views": { + "decompressed": false, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "sha256": "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + }, + "directions": { + "decompressed": true, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "sha256": "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5" + }, + "inverse_certificate": { + "decompressed": true, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/root/RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz", + "sha256": "91b546da328fbf4a58b9fbf92c5851ec7a66402d3c2bcf7a52ce3e1533052bc8" + }, + "response": { + "decompressed": false, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "root_receipt": { + "decompressed": false, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/root/RANK30-PHASE-SECTION-CHECKS-20261020.json", + "sha256": "04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7" + } + }, + "status": "PASS_INDEPENDENT_RANK30_PHASE_SECTION", + "swap": { + "endpoint": [ + "(I-JD)a+Jz", + "Da" + ], + "physical_input_query": "T^-1 V Q x", + "single_application_restores_z": false, + "square_is_identity": true + } +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/FREEZE.json new file mode 100644 index 0000000000..f06dc68c1b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/FREEZE.json @@ -0,0 +1,13 @@ +{ + "files": { + "CHECKS.json": "25f0f5cb8eb0e1543eca8d741d9334032ae4e7a692b68bc626f76b22c348eea5", + "NORMAL-HASHES.json": "97c387b1cb55ab97c66f2cce29a7864677b43a57bc25225da8e4b22389d5db39", + "PHASE-SECTION-PROGRAM.json.gz": "819689d7ae94cc510d2557b273543c7078920dd947b0a228e1a2946d0f4b6ecf", + "REVIEW.md": "74a574cc8195002f3ffe969db9afcdad092f9e9b732c71b9ec0e1d72877be52f", + "check_phase_section.py": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010" + }, + "normal_optimized_bytes_identical": true, + "program_decompressed_sha256": "1e281c1a83cc22897afba6df32d707a6698184bac348fc4f2c9cd3a8a55b6c55", + "scope": "All-width translation inverse and additive service. The stronger constant-reader section is separate. No full supplier or kappa claim.", + "status": "FROZEN_INDEPENDENT_REVIEW" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/NORMAL-HASHES.json b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/NORMAL-HASHES.json new file mode 100644 index 0000000000..85e2eea5f1 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/NORMAL-HASHES.json @@ -0,0 +1,4 @@ +{ + "CHECKS.json": "25f0f5cb8eb0e1543eca8d741d9334032ae4e7a692b68bc626f76b22c348eea5", + "PHASE-SECTION-PROGRAM.json.gz": "819689d7ae94cc510d2557b273543c7078920dd947b0a228e1a2946d0f4b6ecf" +} diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/PHASE-SECTION-PROGRAM.json.gz 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+# Independent review of the rank30 translation section + +The translation inverse is valid at every tensor width. The exact physical +inverse has 2,712 nonzero coefficients, common denominator 120, and array +infinity norm 88/5. The odd denominator 15 is necessary for this inverse. +These statements concern the actual serialized U, V, and 112 directions. +They do not certify a complete supplier. + +The newer constant-reader section is a separate construction. It can +avoid this inverse for the current terminal reader. The result here +remains useful when the reader V must stay fixed. + +## Sources and independent checks + +`CHECKS.json` gives each source path and SHA256 pin. The checker reads the +actual U and V, the 112 native directions, the root inverse certificates, +and the D25 stage-zero views. It compares all 112 directions with those +views. It does not import or execute the producer checker. + +For each of the 512 characters, the checker constructs T_chi directly. +It treats the producer inverse as a certificate, not as trusted output. +For the large block it forms the integer matrices + +```text +M = 2 T_chi, B = 60 T_chi^-1, +``` + +and checks MB=BM=120I by integer multiplication. It checks all fourteen +scalar blocks directly. Thus this review uses an independent certificate +check. It does not claim a second independent inversion algorithm. + +The review then performs an integer Walsh transform, checks its inverse, +constructs the physical inverse kernel, and constructs D=T^-1 V. It +checks 421,888 entries of D by direct character evaluation. The source +pins include the root normal and optimized receipt. The review itself +also has normal and optimized runs with identical output bytes. + +## Why the finite certificate proves every width + +Let X_g translate each tensor column by the same g in F2^9. Then +X_g X_h=X_(g+h), at every width. On a frequency tuple +(chi_1,...,chi_f), X_g has eigenvalue + +```text +(-1)^(g dot (chi_1+...+chi_f)). +``` + +Only the XOR of the frequency vectors matters. The cross matrix is + +```text +T = V diag_p(X_(q_p)) U. +``` + +Its 512 character matrices are precisely the matrices in the certificate. +Put + +```text +R_g = (1/512) sum_chi (-1)^(chi dot g) T_chi^-1. +``` + +Character orthogonality gives both products + +```text +(sum_g R_g X_g) T = I = T (sum_g R_g X_g) +``` + +in the finite group algebra. Every representation of the translation +group preserves this identity. This includes every tensor width and +extra supplier coordinates on which these maps act as the identity. +No sample of widths is used to prove the extension. + +At positive width, each orbit has 512 points. For a fixed output address, +distinct pairs (input field, g) are distinct input entries. Thus the +physical infinity norm is exactly + +```text +max_i sum_(j,g) |R_g[i,j]|. +``` + +It is not the largest character matrix row norm. + +## Exact numerical consequences + +The character inverse has common denominator 60 and largest row norm +53/5. Its inverse Walsh formula initially has denominator 30,720. Exact +reduction gives: + +| Operator | Nonzero translated coefficients | Common denominator | Physical infinity norm | +| --- | ---: | ---: | ---: | +| T^-1 | 2,712 | 120 | 88/5 | +| T^-1 V | 15,688 | 120 | 1666/15 | + +All nonzero inverse translations have odd Hamming weight. This also +follows from T_(chi+all_ones)=-T_chi, since every q_p has odd weight. +The inverse has the same sign relation, which removes the even-weight +Walsh coefficients. + +The character-zero inverse contains -1/3 at entry (0,0) and -1/5 at +entry (16,16). A coefficient ring without 1/3 or without 1/5 cannot +contain this inverse: evaluation at the trivial character would give +an inverse over that same ring, contrary to uniqueness. Thus the odd +part 15 is necessary. The physical kernel also has explicit witnesses +-1/30 and -1/20 in the receipt. + +The fourteen small blocks are negative sums of three or five signs. +Every such sum is odd and nonzero. The large 16-dimensional block +requires the exact 512-character certificate. This review does not +replace that certificate with the odd-clique argument. + +## A paid additive query service + +The emitted program gives an actual additive service on disjoint physical +arrays a[112] and z[30]. It does not require a zero value in z. + +To implement z <- z-Da, where D=T^-1 V: + +1. Multiply every z field by 15. +2. For each source-field and translation pair, apply the translation to + that source, add all corresponding coefficients of -15D to z, and + undo the translation. +3. Divide every z field exactly by 15. + +Every coefficient of 15D is dyadic. During each group the source has +no scalar write, so the second translation restores it exactly. The +endpoint is (15z-15Da)/15=z-Da for arbitrary a and z. + +The program has 5,812 source-view groups. Under the inherited dyadic +ADD count + +```text +cost(c) = 2 (1 + bitlength(|num(c)|) + + popcount(|num(c)|) + bitlength(den(c))), +``` + +the service uses 204,768 real dyadic primitives and 11,624 translation +map calls. It also uses 30 complex multiply-by-15 scans and 30 complex +divide-by-15 scans. It uses no additional owned array. + +The odd scans are separate operations. The integer representation must +have enough reserved powers of 3 and 5 before a division. For one such +service, one additional factor 15 in a common exact coefficient grid +is sufficient once the input grid is fixed; a composition must price +the maximum denominator height of all its prefixes. The bit width, +scan cost, finite map compiler, root-grid conversion, and recursive +depth bound are not included in the dyadic primitive count above. + +## The full section swap and its limit + +Set J=Q^2 U, D=T^-1 V, so DJ=I. On arbitrary a and z, use the ordered +word + +```text +a += Jz +z -= Da +a += Jz +z = -z +``` + +The second line reads the updated a. It leaves z=-Da_original. The +third line then gives + +```text +S(a,z) = ((I-JD)a+Jz, Da). +``` + +The checker derives this endpoint in a noncommutative polynomial +calculation that uses only DJ=I. It also checks S^2=I. A single use +does not restore z: its arbitrary initial value is stored in the data +section. A later consumer must preserve or restore that value. + +Each J shear can use one translation before and one after its scalar +scatter on every data field. With the direct D service above, the +complete swap therefore has 208,028 dyadic primitives, 12,072 +translation map calls, and the same 30 complex multiply and 30 complex +divide scans. These are component counts, not a complete finite cost. + +At the physical input a=Qx, this section reads T^-1 VQx. The terminal +correction requires VQ^-1. The two readers cannot be identified without +another operation or a changed input code. The later constant-reader +construction changes that code and is reviewed separately. + +## Reproduction and scope + +```text +python3 -I -B check_phase_section.py +python3 -O -I -B check_phase_section.py +``` + +Both runs print `PASS_INDEPENDENT_RANK30_PHASE_SECTION`. +`FREEZE.json` pins the proof, checker, receipt, and emitted program. +The proof uses the root exact inverse certificate and the actual +response supplied by the new-core-transfer lane. It also uses the +earlier simultaneous-translation method and exact odd-grid contract. +This review does not repeat the large native phase checks. + +The result supplies an exact all-width inverse and an explicit additive +array service. It does not supply a productive centre cohort, its birth +or retirement, legal global routes, a complete finite precision proof, +or the final recursive invoice. No frontier or kappa claim follows. diff --git a/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/check_phase_section.py b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/check_phase_section.py new file mode 100644 index 0000000000..1314311d5e --- /dev/null +++ b/research/centre-code-services/frozen/lanes/bridge-review-20261017/rank30-phase-section-review-20261020/check_phase_section.py @@ -0,0 +1,281 @@ +"""Verify all character certificates and emit the physical translation kernels.""" + +from collections import Counter, defaultdict +from fractions import Fraction as F +from hashlib import sha256 +from math import gcd, lcm +from pathlib import Path +import gzip +import json + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +CAMPAIGN = LANES.parent +SELF_PIN = sha256(Path(__file__).read_bytes()).hexdigest() +SOURCES = { + "response": ( + LANES/"new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", False), + "directions": ( + LANES/"history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5", True), + "inverse_certificate": ( + CAMPAIGN/"root/RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz", + "91b546da328fbf4a58b9fbf92c5851ec7a66402d3c2bcf7a52ce3e1533052bc8", True), + "root_receipt": ( + CAMPAIGN/"root/RANK30-PHASE-SECTION-CHECKS-20261020.json", + "04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7", False), + "actual_data_views": ( + LANES/"bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473", False), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def matrix_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 fwht(values): + out = list(values) + step = 1 + while step < len(out): + for base in range(0,len(out),2*step): + for j in range(base,base+step): + a,b = out[j],out[j+step] + out[j],out[j+step] = a+b,a-b + step *= 2 + return out + + +def dyadic_add_price(coefficient): + n,d = abs(coefficient.numerator),coefficient.denominator + need(n > 0 and d&(d-1)==0,"Nonzero dyadic ADD") + return 2*(1+n.bit_length()+n.bit_count()+d.bit_length()) + + +def kernel_summary(rows): + common, witnesses = 1, {} + norms = [] + for i,row in enumerate(rows): + norms.append(sum((abs(F(n,30720)) for n in row.values()),F(0))) + for (j,g),n in row.items(): + c = F(n,30720) + common = lcm(common,c.denominator) + for prime in (2,3,5): + if c.denominator%prime == 0 and prime not in witnesses: + witnesses[prime] = {"output":i,"input":j,"translation":g,"coefficient":str(c)} + return {"nonzero_coefficients":sum(map(len,rows)), + "coefficients_per_row":list(map(len,rows)), + "common_denominator":common, + "exact_physical_infinity_norm":str(max(norms)), + "norm_maximizing_rows":[i for i,n in enumerate(norms) if n==max(norms)], + "denominator_witnesses":witnesses} + + +def formal_product(a,b): + result = defaultdict(F) + for x,c in a.items(): + for y,d in b.items(): + word = x+y + while "DJ" in word: + word = word.replace("DJ","") + result[word] += c*d + return {w:c for w,c in result.items() if c} + + +def formal_sum(a,b): + out = defaultdict(F,a) + for key,value in b.items(): + out[key] += value + return {key:value for key,value in out.items() if value} + + +def swap_certificate(): + one,minus = {"":F(1)},{"":F(-1)} + j,d = {"J":F(1)},{"D":F(1)} + a = [one,{}] + z = [{},one] + a = [formal_sum(x,formal_product(j,y)) for x,y in zip(a,z)] + z = [formal_sum(x,formal_product(minus,formal_product(d,y))) for x,y in zip(z,a)] + a = [formal_sum(x,formal_product(j,y)) for x,y in zip(a,z)] + z = [formal_product(minus,x) for x in z] + wanted = [[{"":F(1),"JD":F(-1)},j],[d,{}]] + need([a,z]==wanted,"Complete arbitrary-input swap from DJ=I only") + square = [[{} for _ in range(2)] for _ in range(2)] + for r in range(2): + for c in range(2): + for k in range(2): + square[r][c]=formal_sum(square[r][c],formal_product(wanted[r][k],wanted[k][c])) + need(square==[[one,{}],[{},one]],"The exact swap restores every borrowed input on its second application") + return {"endpoint":["(I-JD)a+Jz","Da"],"square_is_identity":True, + "single_application_restores_z":False,"physical_input_query":"T^-1 V Q x"} + + +def main(): + data = {} + for name,(path,pin,compressed) in SOURCES.items(): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest()==pin,"Pinned source: "+name) + data[name]=json.loads(raw) + q = [r["q"] for r in data["directions"]["transfers"]] + actual_q = {r["port"]:r["q"] for r in data["actual_data_views"]["entries"] if r["stage"]==0} + need(len(q)==112 and q==[actual_q[p] for p in range(112)] and + len(set(q))==112 and all(0=16 or j>=16) and i!=j),"Exact block decomposition") + ti = [[F(x) for x in row] for row in record["large_inverse"]] + need(len(ti)==16 and all(len(row)==16 for row in ti),"Inverse certificate size") + b = [[int(60*x) for x in row] for row in ti] + need(all(b[i][j]==60*ti[i][j] for i in range(16) for j in range(16)),"Integral60 inverse certificate") + large = [row[:16] for row in m[:16]] + expected = [[120*int(i==j) for j in range(16)] for i in range(16)] + need(matrix_product(large,b)==matrix_product(b,large)==expected, + "Two independent integer certificate products") + full_b = [[0]*30 for _ in range(30)] + for i in range(16): + full_b[i][:16]=b[i] + for i in range(16,30): + s=F(m[i][i],2) + need(s==F(record["small_diagonal"][i-16]) and s.denominator==1 and int(s)%2, + "Every odd scalar block is nonzero") + need((60/s).denominator==1,"The scalar inverse divides60") + full_b[i][i]=int(60/s) + b_char.append(full_b) + for i,row in enumerate(full_b): + max_char_norm=max(max_char_norm,sum(abs(F(x,60)) for x in row)) + for j,x in enumerate(row): + c=F(x,60) + common=lcm(common,c.denominator) + for prime in (3,5): + if c.denominator%prime==0 and prime not in character_witnesses: + character_witnesses[prime]={"chi":chi,"row":i,"column":j,"coefficient":str(c)} + need(common==60 and max_char_norm==F(53,5),"Exact character denominator and row norm") + inverse_rows = [dict() for _ in range(30)] + d_rows = [defaultdict(int) for _ in range(30)] + for i in range(30): + for j in (range(16) if i<16 else [i]): + spectrum=[b[i][j] for b in b_char] + numerators=fwht(spectrum) + need(fwht(numerators)==[512*x for x in spectrum],"Exact inverse Walsh transform") + for g,n in enumerate(numerators): + if n: + need(g.bit_count()%2==1,"Inverse support has the required odd translation parity") + inverse_rows[i][j,g]=n + for p,c in v[j].items(): + d_rows[i][p,g]+=n*c + d_rows=[{key:n for key,n in row.items() if n} for row in d_rows] + inverse_summary,d_summary=kernel_summary(inverse_rows),kernel_summary(d_rows) + need(inverse_summary["nonzero_coefficients"]==2712 and + inverse_summary["common_denominator"]==120 and + inverse_summary["exact_physical_infinity_norm"]=="88/5","Exact physical inverse kernel") + need(d_summary["nonzero_coefficients"]==15688 and + d_summary["common_denominator"]==120 and + d_summary["exact_physical_infinity_norm"]=="1666/15","Exact additive query kernel") + # Evaluate the emitted query at every character, independently of the Walsh order. + d_evaluations=0 + for i,row in enumerate(d_rows): + by_input=defaultdict(list) + for (p,g),n in row.items(): + by_input[p].append((g,n)) + for chi in range(512): + for p,terms in by_input.items(): + numerator=sum((1-2*((chi&g).bit_count()%2))*n for g,n in terms) + expected=sum(b_char[chi][i][j]*v[j].get(p,0) for j in range(30)) + need(numerator==512*expected,"Direct evaluation of D=T^-1 V") + d_evaluations+=1 + grouped=defaultdict(list) + for i,row in enumerate(d_rows): + for (p,g),n in row.items(): + c=-F(15*n,30720) + need(c.denominator&(c.denominator-1)==0,"15D needs only dyadic ADDs") + grouped[p,g].append([i,c.numerator,c.denominator]) + service=[] + d_price=0 + for (p,g),targets in sorted(grouped.items()): + need(g!=0,"No identity source view is included in the map invoice") + service.append({"source":p,"translation":g,"target_adds":sorted(targets)}) + d_price+=sum(dyadic_add_price(F(n,d0)) for _,n,d0 in targets) + j_price=sum(dyadic_add_price(c) for row in u for c in row.values()) + j_norm=max(sum(map(abs,row.values())) for row in u) + need(d_price==204768 and j_price==1600 and len(service)==5812,"Exact direct additive service invoice") + kernel=lambda rows:[[[j,g,F(n,30720).numerator,F(n,30720).denominator] + for (j,g),n in sorted(row.items())] for row in rows] + program={ + "schema":"rank30-uniform-translation-section-v1", + "T_inverse_kernel":kernel(inverse_rows), + "D_kernel":kernel(d_rows), + "J_rows":[{"target":p,"translation":q[p], + "adds":[[j,c.numerator,c.denominator] for j,c in sorted(row.items())]} for p,row in enumerate(u)], + "additive_D_lowering":{ + "start":"Multiply each of30 target fields by15 with a coefficient scan.", + "groups":service, + "group_action":"Translate the named source; apply all target ADDs; translate that source back.", + "finish":"Divide each of30 target fields exactly by15 under the declared rational-grid contract.", + "effect":"z <- z-Da; a is unchanged", + "owned_array_count":0,"complex_multiply15_scans":30,"complex_divide15_scans":30, + "dyadic_real_primitives":d_price,"uniform_translation_map_calls":2*len(service), + }, + "swap_chronology":["a += Jz","z -= Da","a += Jz","z = -z"], + "scope":"A physical array service on disjoint a and z banks. Caller owner availability, finite coefficient-grid admission, and bit/tape costs remain separate.", + } + raw=(json.dumps(program,sort_keys=True,separators=(",",":"))+"\n").encode() + (HERE/"PHASE-SECTION-PROGRAM.json.gz").write_bytes(gzip.compress(raw,mtime=0)) + need(sha256(Path(__file__).read_bytes()).hexdigest()==SELF_PIN,"Checker stayed fixed") + receipt={ + "status":"PASS_INDEPENDENT_RANK30_PHASE_SECTION", + "checker_sha256":SELF_PIN, + "source_pins":{name:{"path":str(path),"sha256":pin,"decompressed":compressed} + for name,(path,pin,compressed) in SOURCES.items()}, + "character_count":512,"large_block_dimension":16,"scalar_blocks":14, + "inverse_character_common_denominator":common,"inverse_character_row_norm":str(max_char_norm), + "odd_denominator_character_witnesses":character_witnesses, + "inverse_kernel":inverse_summary,"D_kernel":d_summary,"D_character_entry_checks":d_evaluations, + "J_scalar_primitives":j_price,"J_physical_row_norm":str(j_norm), + "additive_D_dyadic_primitives":d_price,"additive_D_translation_maps":2*len(service), + "additive_D_odd_scans":{"complex_multiply15":30,"complex_divide15":30}, + "complete_swap_dyadic_primitives":d_price+2*j_price+60, + "complete_swap_translation_maps":2*len(service)+448, + "complete_swap_odd_scans":{"complex_multiply15":30,"complex_divide15":30}, + "swap":swap_certificate(), + "program_decompressed_sha256":sha256(raw).hexdigest(), + "all_width_statement":"Uniform translations form F2^9 at every positive width; Fourier blocks depend only on the XOR of the column characters. The emitted inverse is the same group-algebra element at every width.", + "scope":"All-width algebra and a true additive physical query lowering with explicit odd-scan obligations. No complete recursive finite invoice or caller cohort is assumed.", + } + (HERE/"CHECKS.json").write_text(json.dumps(receipt,indent=2,sort_keys=True)+"\n") + print(receipt["status"]) + print(json.dumps({k:receipt[k] for k in ("inverse_kernel","D_kernel","complete_swap_dyadic_primitives","complete_swap_translation_maps")},sort_keys=True)) + + +if __name__=="__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/CHECKS.json new file mode 100644 index 0000000000..9aa5879f47 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/CHECKS.json @@ -0,0 +1,32 @@ +{ + "arbitrary_data_columns": 112, + "checked": [ + "both square-code inverse orders", + "complete E conjugation", + "ordered three-block code", + "actual physical pair labels", + "nonzero sixty-by-sixty modular minor" + ], + "common_pair_direction": 45, + "constant_centre_blocks": { + "scalar": 14, + "two_by_two": 8 + }, + "minor_determinant": "-1/256", + "minor_inverse_integral": true, + "new_data_fields": 0, + "not_checked": [ + "elementary scalar compiler and cost", + "recursive child code admission", + "routed interstage code transitions", + "raw output decoding", + "extra-centre productive ownership" + ], + "old_reader_restriction_rank_at_character_92": 30, + "payload_sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7", + "source_sha256": { + "pair_flags": "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", + "response": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "status": "PASS_EXACT_RANK30_ENTRY_SECTION" +} diff --git a/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/FREEZE.json new file mode 100644 index 0000000000..8db2938139 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/FREEZE.json @@ -0,0 +1,11 @@ +{ + "byte_identical_normal_optimized": true, + "files": { + "CHECKS.json": "b5e699f68e60b02f80954ef8e6a860e3217b641394a4b71a074eaeb5f9c0fd7c", + "SECTION.json": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7", + "SECTION.md": "8b1eaa55da0ce4b15d1618f0fa7279977be2fb59f86cfbd31604b071795b44ea", + "check_section.py": "83b47dc6acc23b6c6120ef3fd0be9016d85c7b1de0a63f0ed7467f8c584a9024" + }, + "scope": "Actual rank30 square code, exact phase transport, paired centre type, and scoped old-reader counterexample; no full caller or price", + "status": "FROZEN_EXACT_COMPONENT" +} diff --git a/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json new file mode 100644 index 0000000000..183838b870 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json @@ -0,0 +1,3573 @@ +{ + "B0": [ + { + "0": "-4", + "1": "1" + }, + { + "0": "2", + "1": "-2" + }, + { + "2": "-4", + "3": "1" + }, + { + "2": "2", + "3": "-2" + }, + { + "4": "-4", + "5": "1" + }, + { + "4": "2", + "5": "-2" + }, + { + "6": "-4", + "7": "1" + }, + { + "6": "2", + "7": "-2" + }, + { + "8": "-4", + "9": "1" + }, + { + "8": "2", + "9": "-2" + }, + { + "10": "-4", + "11": "1" + }, + { + "10": "2", + "11": "-2" + }, + { + "12": "-4", + "13": "1" + }, + { + "12": "2", + "13": "-2" + }, + { + "14": "-4", + "15": "1" + }, + { + "14": "2", + "15": "-2" + }, + { + "16": "-5" + }, + { + "17": "-5" + }, + { + "18": "-5" + }, + { + "19": "-5" + }, + { + "20": "-5" + }, + { + "21": "-5" + }, + { + "22": "-5" + }, + { + "23": "-5" + }, + { + "24": "-5" + }, + { + "25": "-3" + }, + { + "26": "-3" + }, + { + "27": "-3" + }, + { + "28": "-5" + }, + { + "29": "-5" + } + ], + "B0_determinant": "2214337500000000", + "B0_inverse": [ + { + "0": "-1/3", + "1": "-1/6" + }, + { + "0": "-1/3", + "1": "-2/3" + }, + { + "2": "-1/3", + "3": "-1/6" + }, + { + "2": "-1/3", + "3": "-2/3" + }, + { + "4": "-1/3", + "5": "-1/6" + }, + { + "4": "-1/3", + "5": "-2/3" + }, + { + "6": "-1/3", + "7": "-1/6" + }, + { + "6": "-1/3", + "7": "-2/3" + }, + { + "8": "-1/3", + "9": "-1/6" + }, + { + "8": "-1/3", + "9": "-2/3" + }, + { + "10": "-1/3", + "11": "-1/6" + }, + { + "10": "-1/3", + "11": "-2/3" + }, + { + "12": "-1/3", + "13": "-1/6" + }, + { + "12": "-1/3", + "13": "-2/3" + }, + { + "14": "-1/3", + "15": "-1/6" + }, + { + "14": "-1/3", + "15": "-2/3" + }, + { + "16": "-1/5" + }, + { + "17": "-1/5" + }, + { + "18": "-1/5" + }, + { + "19": "-1/5" + }, + { + "20": "-1/5" + }, + { + "21": "-1/5" + }, + { + "22": "-1/5" + }, + { + "23": "-1/5" + }, + { + "24": "-1/5" + }, + { + "25": "-1/3" + }, + { + "26": "-1/3" + }, + { + "27": "-1/3" + }, + { + "28": "-1/5" + }, + { + "29": 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100, + 101, + 102, + 103, + 104, + 105, + 107, + 108, + 109, + 111 + ], + "scope": "Exact square-code algebra and typed phase identities; no global caller or scalar/native invoice", + "selected_carriers": [ + 0, + 27, + 9, + 61, + 11, + 63, + 20, + 46, + 37, + 110, + 41, + 106, + 76, + 87, + 78, + 99, + 5, + 3, + 24, + 23, + 1, + 8, + 29, + 26, + 4, + 18, + 19, + 39, + 6, + 31 + ], + "selected_q": [ + 11, + 38, + 69, + 104, + 261, + 296, + 161, + 140, + 274, + 319, + 194, + 239, + 448, + 493, + 506, + 471, + 259, + 67, + 385, + 321, + 19, + 37, + 134, + 22, + 131, + 145, + 273, + 162, + 13, + 26 + ], + "source_sha256": { + "pair_flags": "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", + "response": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "transported_code": "C_out = Q^-1 C0 Q^-1", + "transported_response": "diag(Q_A^-1 H Q_A,I_U)" +} diff --git a/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.md b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.md new file mode 100644 index 0000000000..a3b52de302 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/SECTION.md @@ -0,0 +1,304 @@ +# An entry code for the actual rank-thirty response + +The actual factorization E=I+UV admits an invertible code on the existing +112 data fields. It exposes thirty correction coordinates and retains +the other eighty-two coordinates. It needs no additional data family. +The selected minor has determinant -1/256 and an integral inverse. + +A translation at entry selects the correct phase orientation. After a +positive Q-to-FULL advance, the correction Q E Q^-1 acts only on the +thirty encoded coordinates. Fourteen of those actions are scalar. +The other sixteen form eight two-field actions with the same +isotropic line difference 45. + +These are exact algebra and interface results. They do not give a +complete coded native F/B call or a raw terminal decoder. The precise +remaining code transitions are stated below. + +## Inputs and notation + +The pinned response is +`new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json`, +SHA256 +`5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c`. +It supplies U with 112 rows and 30 columns and V with 30 rows. + +Write Q=diag(C_qp) for the physical port lines and L=Q^2. For every +tensor width, Q^4=I and L is a fieldwise uniform translation. Put + +```text +B0 = VU, D0 = B0^-1 V, +H = I+B0. +``` + +For the actual factors, B0 consists of eight blocks + +```text +[ -4 1 ] +[ 2 -2 ] +``` + +and fourteen scalar blocks: eleven -5 and three -3. Thus B0 is +invertible. The block determinants are six. The corresponding H +blocks are [[-3,1],[2,-1]], -4, and -2. H and H^-1 are dyadic. +B0^-1 can have factors three and five in its denominator. + +The constant-word compiler and its price belong to the +`native-escape-20261017/rational-code-admission-20261020` packet. +This packet verifies the matrices but does not replace that compiler. + +## An arbitrary-state section exchange + +Set + +```text +J = L U, D = D0 L. +``` + +Then DJ=D0 U=I. For a data bank a and an independent thirty-field bank z, +the map + +```text +S(a,z) = ((I-JD)a+Jz, Da) +``` + +is an involution. One ordered implementation is + +```text +a += Jz +z -= Da using the updated a +a += Jz using the updated z +z *= -1 +``` + +Both inputs are arbitrary. One application transfers the old z into +the data. It does not restore z. A second matched application restores +both banks. + +The two L factors can be placed outside a constant scalar section +exchange: + +```text +S = diag(L,I) S_(U,D0) diag(L,I). +``` + +Thus the entry maps use translations and scalar operations. This +does not make their execution cost zero. An additive D0 service on an +arbitrary centre bank can use B0, a V gather, and B0^-1. Its scalar, +odd-division, and stream costs must be charged. + +Under the physical advance diag(F Q^-1,F), where F is common to both +banks and commutes with the displayed port operators, the section +becomes + +```text +J_out = Q U, D_out = B0^-1 V Q^-1. +``` + +This is the required orientation: + +```text +Q E Q^-1 = I + J_out B0 D_out. +``` + +In the output section coordinates this action is identity on the +data complement and H on the centre bank. A thirty-field productive +cohort and its advance F are not supplied by the factorization. + +## A square code on the existing data + +Use these thirty physical carrier slots, in the stated order: + +```text +0,27,9,61,11,63,20,46,37,110,41,106,76,87,78,99, +5,3,24,23,1,8,29,26,4,18,19,39,6,31. +``` + +Call this set A and its complement B. The rows U_A form a unit with +determinant -1/256. Its inverse has integer entries. Store centre +coordinate j in physical slot A[j]. Define the square code C0 by + +```text +c = D0 a, +r = a_B - U_B U_A^-1 a_A. +``` + +Here C0 is a matrix name. It does not denote the private scratch field +called C0 in older source packets. The inverse is + +```text +u = c - (D0)_B r, +a_A = U_A u, +a_B = r + U_B u. +``` + +Both inverse orders hold on every input. The following block updates +give C0 in place: + +```text +a_A = U_A^-1 a_A +a_B -= U_B a_A +a_A += (D0)_B a_B +``` + +The final additive map must retain the current arbitrary a_A. It can +be lowered as B0 on a_A, then a V_B gather, then B0^-1 on a_A. +The full code preserves all 112 input coordinates. It makes + +```text +C0 E C0^-1 = diag(H,I_B). +``` + +The checker verifies the ordered block updates and both inverse +orders on all 112 columns. It does not emit an elementary scalar +word or claim its scan cost. + +## Exact code transport + +Use the entry code + +```text +C_in = C0 L. +``` + +This differs from the square code built directly from J,D only by +the free translation L_B on the complement coordinates. + +For an all-data advance A_plus=F Q^-1, assume F is common to all +fields and commutes with C0 and Q. The transported code is + +```text +C_out = A_plus C_in A_plus^-1 = Q^-1 C0 Q^-1. +``` + +Let M=Q E Q^-1. Then + +```text +C_out M C_out^-1 = diag(Q_A^-1 H Q_A,I_B). +``` + +The selected carrier phases remain. The statement is not +C_out M C_out^-1=diag(H,I_B) unless H commutes with Q_A. + +For the chosen A, its first sixteen slots are eight complete physical +pairs from the pinned cyclic source. Every pair has q_p+q_r=45. +Assign one two-coordinate H block to each pair. On such a pair the +transported block is + +```text +[ -3 C_qp^-1 C_qr ] +[ 2 C_qr^-1 C_qp -1 ]. +``` + +It can use two ordered off-diagonal ADDs and two sign changes. +The common isotropic gauge from +`coherent-port/isotropic-pair-gauge-20261018/GAUGE.md` makes each of +these ADD views monomial. That theorem does not make the gauge +entrance or exit free. Without an inherited gauge, two rank-one +line passes on the sixteen fields give a conservative 32-rank +implementation. The fourteen scalar blocks commute with their +carrier phases and need no native phase conversion. + +For the rank-sixteen alternative response, H is diagonal. The same +transport equation then leaves a scalar centre action. Its actual +minor and native capture are separate work in the new-core lane. + +With fixed C0 and Q, repeated positive advances transport the code +through + +```text +C0 L -> Q^-1 C0 Q^-1 -> L C0 -> Q C0 Q -> C0 L. +``` + +Every even boundary has only scalar and translation factors. A +negative advance FQ returns the first odd code to C0 L. These +identities need the stated common-F condition. They do not by +themselves bind a stage-dependent routed code. + +## Actual native caller and remaining work + +The literal source at +`new-core-transfer-20261017/low-displacement-20261020/native-normal-v2/NATIVE-PROGRAM.json.gz` +has decompressed SHA256 +`e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558`. +It has two 112-field data banks. Its other 416 fields are arbitrary +and unchanged. It forms no thirty-field centre cohort. + +Its physical input is (a,b)=(Qx,y). Therefore its complete physical +maps, before any new code, have the form + +```text +forward = diag(Fq,Fq) [ I 0 ] + [ E q I ], + +backward = diag(Fq,Fq) [ I -Q E^T ] + [ 0 I ], +``` + +where q=Q^-1. Thus both data banks have the same diagonal advance, +but the cross-bank maps also contain an odd Q factor. A common +square code on both banks does not remove that factor merely +because it diagonalizes E. + +At a raw output, the inverse code is + +```text +C_out^-1 = Q C0^-1 Q. +``` + +For two stages with different constant or routed codes, the proposed +transition is + +```text +C_in,t C_out,s^-1 = C0,t Q^-1 C0,s^-1 Q. +``` + +These are phase-coded data maps. No free implementation is supplied +here. A complete caller must admit the cross-bank maps, the code +transitions, the final raw output, all native child interfaces, and +the scalar and finite-precision costs. The entry code alone does +not improve the complete kappa bound. + +## Why the earlier reader choice does not close the same section + +The other valid section uses T=V L U and D=T^-1 V at entry. After +positive progress its reader is T^-1 VQ. The required terminal reader +is VQ^-1. The latter does not factor through the former. + +At the actual character chi=92, the matrix formed by stacking V and +V diag((-1)^(chi dot q_p)) has rank sixty. The payload gives a +sixty-column minor with a nonzero determinant modulo 1000003. +Since V has rank thirty, the restriction of VQ^-1 to ker(VQ) has +rank thirty. This is an exact counterexample to a centre-only +action for that reader choice. It does not apply to the shifted +reader D0 L used above. + +The character can be extended by zero columns. The counterexample +therefore persists at every positive tensor width. It is not a +native-child lower bound. + +## Checks and scope + +Run from the workspace root: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/check_section.py +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/check_section.py +``` + +Expected output is `PASS_EXACT_RANK30_ENTRY_SECTION`. The two JSON +outputs must be byte-identical. The source packets are hash checked +and are not changed. The checker tests the exact matrices and the +constant block program. The phase transport equations are general +proofs; a new routed native circuit is not emitted. + +The root supplied the section and code-transport task. The new-core +lane supplied U,V and the native source. The native-escape lane +supplied the one-reader section word and the constant-matrix +compiler. This lane selected the actual minor, checked the square +code, selected the shifted reader, and stated the remaining physical +interfaces. AI assistance was used. + +No PR, commit, push, or publication is authorized. Before any future +PR description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/check_section.py b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/check_section.py new file mode 100644 index 0000000000..23a7e47d9d --- /dev/null +++ b/research/centre-code-services/frozen/lanes/coherent-port/section-entry-20261020/check_section.py @@ -0,0 +1,284 @@ +"""Check the rank-thirty entry code and its exact phase contract.""" + +from fractions import Fraction as F +import hashlib +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SOURCE = LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json" +SOURCE_PIN = "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" +PAIRS = LANES / "independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json" +PAIRS_PIN = "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585" +A = [0, 27, 9, 61, 11, 63, 20, 46, 37, 110, 41, 106, 76, 87, 78, 99, + 5, 3, 24, 23, 1, 8, 29, 26, 4, 18, 19, 39, 6, 31] +P = 1000003 + + +def require(ok, text): + if not ok: + raise RuntimeError(text) + + +def read_pinned(path, pin): + raw = path.read_bytes() + require(hashlib.sha256(raw).hexdigest() == pin, str(path)) + return json.loads(raw) + + +def rows(values): + return [{int(j): F(c) for j, c in row.items() if F(c)} for row in values] + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def add(a, b, scale=F(1)): + out = dict(a) + for j, c in b.items(): + out[j] = out.get(j, F(0)) + scale * c + if not out[j]: + del out[j] + return out + + +def product(a, b): + out = [] + for row in a: + result = {} + for k, c in row.items(): + result = add(result, b[k], c) + out.append(result) + return out + + +def inverse(a, n): + m = [[a[i].get(j, F(0)) for j in range(n)] + + [F(i == j) for j in range(n)] for i in range(n)] + determinant = F(1) + for k in range(n): + candidates = [i for i in range(k, n) if m[i][k]] + require(bool(candidates), "singular matrix") + j = candidates[0] + if j != k: + m[j], m[k] = m[k], m[j] + determinant = -determinant + pivot = m[k][k] + determinant *= pivot + m[k] = [c / pivot for c in m[k]] + for i in range(n): + if i != k and m[i][k]: + c = m[i][k] + m[i] = [x - c * y for x, y in zip(m[i], m[k])] + result = [{j: m[i][n + j] for j in range(n) if m[i][n + j]} + for i in range(n)] + return result, determinant + + +def serialize(a): + return [{str(j): str(c) for j, c in sorted(row.items())} for row in a] + + +def mod(c): + return c.numerator * pow(c.denominator, -1, P) % P + + +def modular_minor(a, n): + m = [[mod(row.get(j, F(0))) for j in range(n)] for row in a] + pivots = [] + r = 0 + determinant = 1 + for c in range(n): + candidates = [i for i in range(r, len(m)) if m[i][c]] + if not candidates: + continue + k = candidates[0] + if k != r: + m[k], m[r] = m[r], m[k] + determinant = -determinant + pivot = m[r][c] + determinant = determinant * pivot % P + inv = pow(pivot, -1, P) + m[r] = [x * inv % P for x in m[r]] + for i in range(r + 1, len(m)): + if m[i][c]: + t = m[i][c] + m[i] = [(x - t * y) % P for x, y in zip(m[i], m[r])] + pivots.append(c) + r += 1 + if r == len(m): + break + return pivots, determinant % P + + +def write(name, data): + text = json.dumps(data, sort_keys=True, indent=2) + "\n" + (HERE / name).write_text(text) + return hashlib.sha256(text.encode()).hexdigest() + + +def main(): + src = read_pinned(SOURCE, SOURCE_PIN) + pair_source = read_pinned(PAIRS, PAIRS_PIN) + u = rows(src["correction_U"]) + v = rows(src["correction_V"]) + e = rows(src["response"]) + qs = src["ports"] + require(len(set(A)) == 30, "minor rows") + remaining = [p for p in range(112) if p not in A] + ua = [u[p] for p in A] + ua_inv, ua_det = inverse(ua, 30) + require(ua_det == F(-1, 256), "minor determinant") + require(all(c.denominator == 1 for row in ua_inv for c in row.values()), + "integral minor inverse") + require(product(ua, ua_inv) == identity(30), "minor right inverse") + require(product(ua_inv, ua) == identity(30), "minor left inverse") + + b0 = product(v, u) + expected_b0 = [] + for j in range(8): + expected_b0.extend([{2*j: F(-4), 2*j+1: F(1)}, + {2*j: F(2), 2*j+1: F(-2)}]) + expected_b0.extend([{16+j: F(-len(clique))} + for j, clique in enumerate(src["small_cliques"])]) + require(b0 == expected_b0, "constant cross Gram blocks") + b0_inv, b0_det = inverse(b0, 30) + d0 = product(b0_inv, v) + require(product(d0, u) == identity(30), "left section inverse") + h = [add(row, identity(30)[i]) for i, row in enumerate(b0)] + h_inv, h_det = inverse(h, 30) + require(product(h, h_inv) == identity(30), "centre right inverse") + + # Output rows remain in their physical carrier slots. + c0 = [dict() for _ in range(112)] + uua = product(u, ua_inv) + for j, p in enumerate(A): + c0[p] = d0[j] + for p in remaining: + c0[p] = add({p: F(1)}, + {A[j]: -c for j, c in uua[p].items()}) + c0_inv = [] + for p in range(112): + row = {A[j]: c for j, c in u[p].items()} + if p in remaining: + row[p] = row.get(p, F(0)) + 1 + for j, c in u[p].items(): + row = add(row, {r: value for r, value in d0[j].items() + if r in remaining}, -c) + c0_inv.append(row) + require(product(c0, c0_inv) == identity(112), "square code right inverse") + require(product(c0_inv, c0) == identity(112), "square code left inverse") + encoded_e = identity(112) + for j, p in enumerate(A): + encoded_e[p] = {A[k]: c for k, c in h[j].items()} + require(product(c0, e) == product(encoded_e, c0), + "complete unit response in code coordinates") + + # Replay the three block updates of C0 on all 112 arbitrary inputs. + state = identity(112) + old_selected = [state[p] for p in A] + new_selected = product(ua_inv, old_selected) + for j, p in enumerate(A): + state[p] = new_selected[j] + for p in remaining: + for j, c in u[p].items(): + state[p] = add(state[p], state[A[j]], -c) + for j, p in enumerate(A): + for r, c in d0[j].items(): + if r in remaining: + state[p] = add(state[p], state[r], c) + require(state == c0, "ordered in-place square code") + + pair_set = {tuple(record["ports"]) for record in pair_source["pair_codes"]} + carrier_pairs = [A[2*j:2*j+2] for j in range(8)] + require(all(tuple(pair) in pair_set for pair in carrier_pairs), + "actual complete physical pairs") + require(all(qs[p] ^ qs[r] == 45 for p, r in carrier_pairs), + "common pair direction") + + # A nonzero modular minor is an exact rational rank certificate. + require(all(P % d for d in range(2, 1001)), "prime modulus") + chi = 92 + signs = [(-1) ** ((chi & q).bit_count() % 2) for q in qs] + vl = [{p: c * signs[p] for p, c in row.items()} for row in v] + columns, determinant_mod = modular_minor(v + vl, 112) + require(len(columns) == 60 and determinant_mod != 0, + "full missing-reader rank") + square = [{j: row.get(p, F(0)) for j, p in enumerate(columns) + if row.get(p, F(0))} for row in v + vl] + check_columns, check_det = modular_minor(square, 60) + require(check_columns == list(range(60)) and check_det == determinant_mod, + "serialized minor") + + data = { + "source_sha256": {"response": SOURCE_PIN, "pair_flags": PAIRS_PIN}, + "selected_carriers": A, + "ordinary_carriers": remaining, + "selected_q": [qs[p] for p in A], + "carrier_pairs": carrier_pairs, + "minor_determinant": str(ua_det), + "minor_inverse": serialize(ua_inv), + "B0": serialize(b0), + "B0_inverse": serialize(b0_inv), + "B0_determinant": str(b0_det), + "H": serialize(h), + "H_inverse": serialize(h_inv), + "H_determinant": str(h_det), + "D0": serialize(d0), + "C0": serialize(c0), + "C0_inverse": serialize(c0_inv), + "encoded_response": serialize(encoded_e), + "old_reader_counterexample": { + "character": chi, + "prime": P, + "minor_columns": columns, + "minor_determinant_mod_prime": determinant_mod, + "stacked_rank": 60, + "restriction_rank": 30, + }, + "block_program_C0": [ + "selected := U_A^-1 selected", + "ordinary -= U_U selected", + "selected += D0_U ordinary", + ], + "entry_code": "C_in = C0 Q^2", + "transported_code": "C_out = Q^-1 C0 Q^-1", + "transported_response": "diag(Q_A^-1 H Q_A,I_U)", + "scope": "Exact square-code algebra and typed phase identities; no global caller or scalar/native invoice", + } + payload_pin = write("SECTION.json", data) + receipt = { + "status": "PASS_EXACT_RANK30_ENTRY_SECTION", + "payload_sha256": payload_pin, + "source_sha256": data["source_sha256"], + "arbitrary_data_columns": 112, + "new_data_fields": 0, + "minor_determinant": str(ua_det), + "minor_inverse_integral": True, + "constant_centre_blocks": {"two_by_two": 8, "scalar": 14}, + "common_pair_direction": 45, + "old_reader_restriction_rank_at_character_92": 30, + "checked": [ + "both square-code inverse orders", + "complete E conjugation", + "ordered three-block code", + "actual physical pair labels", + "nonzero sixty-by-sixty modular minor", + ], + "not_checked": [ + "elementary scalar compiler and cost", + "recursive child code admission", + "routed interstage code transitions", + "raw output decoding", + "extra-centre productive ownership", + ], + } + write("CHECKS.json", receipt) + print("PASS_EXACT_RANK30_ENTRY_SECTION") + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/FREEZE.json new file mode 100644 index 0000000000..e0a88ee15f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/FREEZE.json @@ -0,0 +1,12 @@ +{ + "files": { + "ROW-CAPTURE.md": "0caea104839f0e9726c892ab2b21c2c3501deb818ab0c844e4fa5234cb870eee", + "check_row_capture.py": "ccf661107a790c3d858a3f2bd4d8adc5269f588bfd989bd2e2029e26cbb14081", + "run-normal/CHECKS.json": "7054fe6350d900561111b81f2ce46057edb62aef1f5581c4adac66f1c1742081", + "run-normal/ROW-CAPTURE.json": "4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7" + }, + "independent_review": "queued in new-native-recipes-20261017", + "normal_optimized_byte_identical": true, + "scope": "Exact normalized row code, scalar words, encoded response, and arbitrary-baseline late query. Native emission, routed admission, and full supplier closure remain separate.", + "status": "PASS_EXACT_ROW_CAPTURE" +} diff --git a/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json b/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json new file mode 100644 index 0000000000..79b36b6188 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json @@ -0,0 +1,10667 @@ +{ + "centre_reader": [ + { + "0": "1", + "13": "1/2", + "14": "1/2", + "15": "-1/2", + "2": "1/2", + "25": "1/2", + "51": "1/2", + "52": "1/2", + "53": "-1/2", + "70": "1/2", + "71": "1/2", + "72": "1/2", + "76": "1/2", + "78": "1/2", + "81": "-1/2", + "87": "1/2", + "89": "1/2", + "90": "1/2", + "91": "1/2", + "92": "1/2", + "99": "1/2" + }, + { + "13": "-1/2", + "14": "-1/2", + "15": "1/2", 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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/centre-code-services/frozen/lanes/independent-review-20261017/odd-grid-a8-20261017/SOURCE-PINS.json b/research/centre-code-services/frozen/lanes/independent-review-20261017/odd-grid-a8-20261017/SOURCE-PINS.json new file mode 100644 index 0000000000..f358543483 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/independent-review-20261017/odd-grid-a8-20261017/SOURCE-PINS.json @@ -0,0 +1,45 @@ +{ + "actual_interface": "../../new-core-transfer-20261017/INTERFACE.json", + "actual_interface_sha256": "c6ca09711622ce4ad236f78cc28c03b6c46808a9d91cfc1722ff4fe371f38746", + "prior_grid_proof": "../../interface-proof/rational-decoder/RATIONAL-DECODER.md", + "prior_grid_proof_sha256": "556c5a9ce23201973ef9738d8bb49ab712d4af67e4132c57a2c39e16767d11eb", + "prior_independent_review": "../../temporal-reuse/RATIONAL-DECODER-REVIEW.md", + "prior_independent_review_sha256": "2b621e176de90edc9dda6d2d0aed138e4af06432031e1f08771b611095641d96", + "recent_pr_proofs_git_blob_recheck": "PASS", + "ref": "6f100d4bb5083f8c35d96fd95a539811c62f245c", + "refresh": "Fresh read-only GitHub fetch in this audit; no publication", + "related_pr_sources": "sources/GITHUB-PINS.json", + "scope": "The recent PR proofs were read; their executable suites were not rerun.", + "sources": [ + { + "bytes": 6252, + "git_blob": "4a9037137cd3158dbeca6d9e3b1881a599ebfcb5", + "local_copy": "../../interface-proof/rational-decoder/sources/notes/stopped-product-complex.tex", + "matches_fresh_github_blob": true, + "ref": "6f100d4bb5083f8c35d96fd95a539811c62f245c", + "repository_path": "notes/stopped-product-complex.tex", + "sha256": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/6f100d4bb5083f8c35d96fd95a539811c62f245c/notes/stopped-product-complex.tex" + }, + { + "bytes": 11311, + "git_blob": 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"https://github.com/CrocSwap/integer-mult-bounds/blob/6f100d4bb5083f8c35d96fd95a539811c62f245c/upstream/build/sections/05-layers.tex" + } + ] +} diff --git a/research/centre-code-services/frozen/lanes/independent-review-20261017/rank-thirty-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/independent-review-20261017/rank-thirty-review-20261020/FREEZE.json new file mode 100644 index 0000000000..a60bd1ddf8 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/independent-review-20261017/rank-thirty-review-20261020/FREEZE.json @@ -0,0 +1,10 @@ +{ + "files": { + "CHECKS.json": "898cbd6b6a1cc6c5bd3aa8dba6ae078c6336f797ba2238a35ea95175593bee97", + "REPRODUCTION.json": "6f67d5ce7a2b8c3764da8134a85464cac5805c1086eed309632f01e74b4491c7", + "REVIEW.md": "e16a0cd145879805481391e9273301d89a88a6b4731ec5efe0e3cf67a38380d8", + "check_review.py": "118088a1b6d7126d50fb4c05a59fc7f69d792a8c0530ddb066d17434c3d9fff2" + }, + "scope": "Native phases, routed terminal, and full supplier price are separate.", + "status": "PASS_INDEPENDENT_MATRIX_SCALAR_AND_GEOMETRY" +} diff --git a/research/centre-code-services/frozen/lanes/independent-review-20261017/response-extensions-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/independent-review-20261017/response-extensions-review-20261020/FREEZE.json new file mode 100644 index 0000000000..cf7e6ad7d9 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/independent-review-20261017/response-extensions-review-20261020/FREEZE.json @@ -0,0 +1,10 @@ +{ + "files": { + "CHECKS.json": "e2660de3472640fb41c673761df58f251f720f988bec4e2fab6b3871b4d29a3a", + "REPRODUCTION.json": "39c6300f307be4edf100a0ad53ca163f6d28ca0f01f51fce65ab5b200c09b731", + "REVIEW.md": "ab9192c4e9a6cec5a864189bd24a4f208a9242c55c5a6a329b4f4e3e25edb8b7", + "check_extensions.py": "97e6c35e916b3cc6b4512e82b554ca33189fe91c89d00a269cf83719f61a073c" + }, + "scope": "Native words, odd-grid implementation, and complete supplier price are separate.", + "status": "PASS_EXTENSION_MATRICES_AND_PRINCIPAL_INVERSES" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/CHECKS.json new file mode 100644 index 0000000000..8e265ae5fc --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/CHECKS.json @@ -0,0 +1,299 @@ +{ + "all_input_columns": 640, + "blocks": { + "B0": { + "gate_counts": { + "ADD": 16, + "MULTIPLY_ODD": 22, + "NEG": 30, + "SCALE2": 8 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 204, + "real_fixed_odd_scans": { + "MULTIPLY_ODD_3": 22, + "MULTIPLY_ODD_5": 22 + } + }, + "capture": { + "gate_counts": { + "ADD": 120 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 960, + "real_fixed_odd_scans": {} + }, + "capture_peak_steps": { + "operand": 436, + "stored": 434 + }, + "complement": { + "gate_counts": { + "ADD": 124, + "SCALE2": 128 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 1248, + "real_fixed_odd_scans": {} + }, + "generic_decode_peak_steps": { + "operand": 500, + "stored": 67 + }, + "minor_inverse": { + "gate_counts": { + "ADD": 49, + "NEG": 39, + "SCALE2": 14 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 498, + "real_fixed_odd_scans": {} + } + }, + "both_inverse_orders": true, + "capture": { + "invoice": { + "gate_counts": { + "ADD": 309, + "MULTIPLY_ODD": 22, + "NEG": 69, + "SCALE2": 150 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 2910, + "real_fixed_odd_scans": { + "MULTIPLY_ODD_3": 22, + "MULTIPLY_ODD_5": 22 + } + }, + "prefix_bounds": { + "checked_exact_complex_divisions": {}, + "denominator_heights": { + "2": 1, + "3": 0, + "5": 0 + }, + "max_ADD_operand_l1": "21", + "max_stored_row_l1": "15" + } + }, + "complete_scalar_chains": { + "G0": { + "invoice": { + "gate_counts": { + "ADD": 634, + "DIVIDE_ODD": 22, + "MULTIPLY_ODD": 22, + "NEG": 168, + "SCALE2": 341 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 6090, + "real_fixed_odd_scans": { + "DIVIDE_ODD_3": 22, + "DIVIDE_ODD_5": 22, + "MULTIPLY_ODD_3": 22, + "MULTIPLY_ODD_5": 22 + } + }, + "peak_steps": { + "operand": 794, + "stored": 1160 + }, + "prefix_bounds": { + "checked_exact_complex_divisions": { + "3": 11, + "5": 11 + }, + "denominator_heights": { + "2": 1, + "3": 0, + "5": 0 + }, + "max_ADD_operand_l1": "52", + "max_stored_row_l1": "44" + } + }, + "G0_inverse": { + "invoice": { + "gate_counts": { + "ADD": 634, + "DIVIDE_ODD": 22, + "MULTIPLY_ODD": 22, + "NEG": 168, + "SCALE2": 341 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 6090, + "real_fixed_odd_scans": { + "DIVIDE_ODD_3": 22, + "DIVIDE_ODD_5": 22, + "MULTIPLY_ODD_3": 22, + "MULTIPLY_ODD_5": 22 + } + }, + "peak_steps": { + "operand": 1137, + "stored": 1136 + }, + "prefix_bounds": { + "checked_exact_complex_divisions": { + "3": 11, + "5": 11 + }, + "denominator_heights": { + "2": 2, + "3": 0, + "5": 0 + }, + "max_ADD_operand_l1": "66", + "max_stored_row_l1": "44" + } + } + }, + "forward_and_backward_methods": true, + "generic_decode": { + "invoice": { + "gate_counts": { + "ADD": 309, + "DIVIDE_ODD": 22, + "NEG": 69, + "SCALE2": 150 + }, + "maps_inside_common_chart": 0, + "native_children": 0, + "new_owned_fields": 0, + "old_real_scalar_units": 2910, + "real_fixed_odd_scans": { + "DIVIDE_ODD_3": 22, + "DIVIDE_ODD_5": 22 + } + }, + "prefix_bounds": { + "checked_exact_complex_divisions": {}, + "denominator_heights": { + "2": 2, + "3": 1, + "5": 1 + }, + "max_ADD_operand_l1": "13", + "max_stored_row_l1": "9" + } + }, + "generic_integer_grid": { + "all_prefixes_integral": true, + "input_scale": 60, + "prefix_bounds": { + "checked_exact_complex_divisions": { + "3": 11, + "5": 11 + }, + "denominator_heights": { + "2": 0, + "3": 0, + "5": 0 + }, + "max_ADD_operand_l1": "780", + "max_stored_row_l1": "540" + } + }, + "odd_arithmetic_head_coefficients": { + "complete_chain": 352, + "one_direction": 176 + }, + "preserved_inputs": true, + "scope": "Common-chart scalar word. No physical cut, native endpoint, outer map cost, or complete supplier invoice.", + "source_pins": { + "checker": { + "bytes": 11333, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_capture_word.py", + "sha256": "44a122a50ee63a82002501eacb4b9eed84f8b423b757d940c5e509f9c852ca0d" + }, + "code": { + "bytes": 115590, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json", + "sha256": "8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e" + }, + "code_review": { + "bytes": 867, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/FREEZE.json", + "sha256": "c7f9f066f751828fd7199abb88f968e6a7aa51219cf37841d06ddd3594f25575" + }, + "constants": { + "bytes": 80400, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "sha256": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368" + }, + "literal": { + "bytes": 57283, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/capture-word-normal/CAPTURE-WORD.json", + "sha256": "8761a302a154e4e19fedb22a9ccfe1db710ce16b3edf2a0e3704a6d0b837d303" + }, + "odd_grid": { + "bytes": 15271, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md", + "sha256": "c06fab014b9dee89b45b1c18c7e3c8a3140a04416f3c63fe52a3f39ac0159639" + }, + "proof": { + "bytes": 7293, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD.md", + "sha256": "29386ef90deb1eff60f88a42d74b35d9474fad73a50e540485b212bdb3f9891a" + }, + "receipt": { + "bytes": 4705, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/capture-word-normal/CHECKS.json", + "sha256": "b3d5eb3b3bc5e25668ac49452aae2012dda387f8a735d0be8b2e036a1ac1f472" + }, + "response": { + "bytes": 266369, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "scan_proof": { + "bytes": 19514, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md", + "sha256": "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01" + }, + "section": { + "bytes": 52433, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json", + "sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7" + } + }, + "status": "PASS_INDEPENDENT_CAPTURE_WORD_REVIEW", + "unchanged_other_roles": 528, + "valid_decode": { + "peak_steps": { + "operand": 116, + "stored": 98 + }, + "prefix_bounds": { + "checked_exact_complex_divisions": { + "3": 11, + "5": 11 + }, + "denominator_heights": { + "2": 1, + "3": 0, + "5": 0 + }, + "max_ADD_operand_l1": "21", + "max_stored_row_l1": "15" + } + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/FREEZE.json new file mode 100644 index 0000000000..2e6a70d1e2 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/FREEZE.json @@ -0,0 +1,23 @@ +{ + "files": { + "CHECKS.json": { + "bytes": 9160, + "sha256": "d32cf0546e40388a1e59ce79b69054faeb82dcbd9c36c1df844b63b17ef56fd2" + }, + "REVIEW.md": { + "bytes": 8190, + "sha256": "0dcbfe88a6718f3bee6e2e73d80b62e71e1a5ce519144712c855dac755828e41" + }, + "SOURCE-MANIFEST.json": { + "bytes": 3489, + "sha256": "1fcac3708b618fddd34d35d82fb06af5c7972fbd62b759ec039a20d977114a44" + }, + "check_review.py": { + "bytes": 15861, + "sha256": "6a56d289c9b3f39be98f9ed9818b53cad3c08aefe7dd9bc5e666ea0cefea3786" + } + }, + "scope": "Common-chart scalar word, both response chains, exact odd divisions and complete local scalar invoice. No physical source cut or native controller.", + "status": "FROZEN_INDEPENDENT_CAPTURE_WORD_REVIEW", + "validation": "Independent forward prefix replay and backward accumulation on all 640 input columns. Normal and optimized receipts match." +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/REVIEW.md new file mode 100644 index 0000000000..2671a54a9c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/capture-word-review-20261020/REVIEW.md @@ -0,0 +1,205 @@ +# Independent review of the literal rank-thirty capture word + +The literal common-chart word passes this review. Both scalar +directions, both complete response chains, all stated costs, and +all stated prefix bounds agree with independent exact checks. +There is no material finding. + +Each direction uses 2,910 old real scalar units and 44 real +fixed-odd scans. It uses no new field, no native child, and no +address map inside the common chart. These are local scalar costs. +A physical source cut, its views, and its native controller are +not admitted by this review. + +The review binds `CAPTURE-WORD.md` at SHA256 +`29386ef90deb1eff60f88a42d74b35d9474fad73a50e540485b212bdb3f9891a`. +The literal payload has SHA256 +`8761a302a154e4e19fedb22a9ccfe1db710ce16b3edf2a0e3704a6d0b837d303`. +`SOURCE-MANIFEST.json` gives the complete input paths and hashes. +No producer module was imported or executed. + +## Independent operator checks + +The checker uses two methods. + +- Forward replay carries 640 formal input columns through every + event. It checks exact division and each stored prefix. +- Backward accumulation carries each output linear form through + the events in reverse order. It gives a second complete + operator calculation on all 640 roles. + +The target capture and inverse are reconstructed from the actual +U, V, U_A, and B0. The checker verifies both selected-minor inverse +orders and VU=B0. It compares the resulting matrices with the +separately reviewed unnormalised-code payload. + +The two methods agree on the full capture and the full generic +inverse. Both inverse composition orders are the identity. Both +complete scalar chains agree directly with the actual source +`response` and `response_inverse` matrices: + +```text +Csum^-1 diag(G0,I_O) Csum = E, +Csum^-1 diag(G0^-1,I_O) Csum = E^-1. +``` + +Every event reads and writes only indices 0 through 111. All 528 +other rows are unchanged and all 528 other input columns are +absent from the data outputs. These roles are arbitrary formal +inputs. There is no zero-state assumption. + +The 550-event inverse is exactly the reverse of the 550-event +capture, with each gate inverted. No field is cleared or replaced +by an assumed zero. + +## Four exact blocks + +The independent backward calculation checks each block against +its source matrix before it checks the full word. + +| Block | Events | Old real scalar units | +| --- | ---: | ---: | +| Selected U_A inverse | 102 | 498 | +| Complement scatter | 252 | 1,248 | +| B0 | 76 | 204 | +| V_O gather | 120 | 960 | +| Total | 550 | 2,910 | + +The selected-minor word has 49 unit ADDs, 39 signs, and 14 binary +scales. Its endpoint is the exact source U_A inverse on all +selected columns. The pair transforms, signed permutation, and +three coefficient-two shears preserve all ordinary fields. + +The complement block contains all 124 actual U_O terms: 64 have +absolute coefficient one half and 60 have absolute coefficient +one. The checker parses each temporary source scale and requires +its opposite scale immediately after the ADD. Thus the source is +restored before the next term. The final gather contains exactly +the 120 actual V_O unit terms. + +The complete capture has 309 ADDs, 69 signs, 150 one-bit binary +scales, and 22 complex odd multiplications. The inverse has the +same first three counts and 22 complex odd divisions. The old +scalar sum is + +```text +309*8 + (69+150)*2 = 2910. +``` + +There are eleven complex operations with factor three and eleven +with factor five in each direction. Each complex operation acts +on two real fields. Thus capture has 22 real multiplications by +three and 22 by five; decode has the corresponding divisions. + +Either complete capture, centre action, and decode chain costs +6,090 old units. It has 22 real multiplications and 22 real +divisions for each of three and five. The centre action or its +inverse contributes 270 old units. + +## Prefix precision and exact division + +The following independently computed bounds equal the producer +receipt. Row norms refer to the maximum absolute input component. +The ADD bound is the sum of both operand norms before the ADD. + +| Execution | Stored row norm | ADD operand norm | Binary height | Odd height | +| --- | ---: | ---: | ---: | --- | +| Capture | 15 | 21 | 1 | 0 | +| Generic inverse | 9 | 13 | 2 | 1 at three and five | +| Inverse on Csum a, relative to a | 15 | 21 | 1 | 0 | +| Capture, G0, decode | 44 | 52 | 1 | 0 | +| Capture, G0 inverse, decode | 44 | 66 | 2 | 0 | + +For each valid execution, every coefficient before an odd division +has denominator coprime to the divisor and numerator divisible by +the divisor. The checker tests this before each of the 22 complex +divisions. All prefixes remain dyadic. The proof applies to +arbitrary dyadic real and imaginary input components by linearity. + +The same binary grid must include the stated fractional-bit +guard. With that guard, each corresponding integer numerator is +divisible by the odd divisor. The valid executions need no odd +root scale. This does not remove their stored-value and +temporary-operand guards. + +The generic inverse has a different contract. As a separate exact +check, the checker starts every one of the 640 input roles at +60 times its formal integer value. All generic inverse prefixes +are then integral, all odd divisions are exact, and all 528 +unrelated roles retain that same common scale. Here + +```text +60 = 2^2 * 3 * 5. +``` + +This is a local sufficient grid for the generic inverse. It is +not a recursive denominator theorem. Generic inverse input is +not assumed to satisfy the valid-code conditions. + +A complete valid encode, centre action, and decode returns to +the dyadic representation on all roles. Such completed chains +have no residual odd height to charge to a later sibling. +A recursive caller must still establish each valid input type +and its complete precision bound. + +## Fixed-odd scan charge + +The review binds both the retained A8 scan proof and the general +fixed-odd carry extension in `CLIQUE-CODE-GRID.md`. The A8 proof +has SHA256 +`e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01`. +The general extension has SHA256 +`c06fab014b9dee89b45b1c18c7e3c8a3140a04416f3c63fe52a3f39ac0159639`. + +For fixed odd d, the in-place low-to-high division uses + +```text +a = (b-c) mod 2, +c' = (c+d*a-b)/2. +``` + +It keeps 0<=c operand: + operand, witnesses["operand"] = bound, step + state[target] = combine(state[target], state[source], sign) + else: + if op == "DIVIDE_ODD" and exact: + p = gate[2] + need(all(x.denominator % p != 0 and x.numerator % p == 0 + for x in state[target].values()), "Exact division on every input coefficient") + divisions[str(p)] += 1 + q = scalar(gate) + state[target] = {j: q * x for j, x in state[target].items()} + if integral: + need(all(x.denominator == 1 for x in state[target].values()), "Integer common-grid prefix") + if exact: + need(all(x.denominator & (x.denominator - 1) == 0 + for x in state[target].values()), "No odd denominator at a valid prefix") + bound = sum(abs(x) for x in state[target].values()) + if bound > stored: + stored, witnesses["stored"] = bound, step + for p in levels: + levels[p] = max(levels[p], max((valuation(x.denominator, p) + for x in state[target].values()), default=0)) + need(state[112:] == original_other, "All 528 arbitrary other rows are unchanged") + need(all(j < 112 for row in state[:112] for j in row), "All 528 other columns are absent from data") + return state, { + "max_stored_row_l1": str(stored), "max_ADD_operand_l1": str(operand), + "denominator_heights": {str(p): h for p, h in levels.items()}, + "checked_exact_complex_divisions": dict(sorted(divisions.items())), + }, witnesses + + +def invoice(word): + counts = Counter(g[0] for g in word) + scans = Counter(g[0] + "_" + str(g[2]) for g in word + if g[0] in ("MULTIPLY_ODD", "DIVIDE_ODD")) + return {"old_real_scalar_units": 8 * counts["ADD"] + 2 * (counts["NEG"] + counts["SCALE2"]), + "gate_counts": dict(sorted(counts.items())), + "real_fixed_odd_scans": {key: 2 * value for key, value in sorted(scans.items())}, + "new_owned_fields": 0, "native_children": 0, "maps_inside_common_chart": 0} + + +def parse_scatter(word): + terms, i = [], 0 + while i < len(word): + gate = word[i] + if gate[0] == "ADD": + terms.append((gate[1], gate[2], F(gate[3]))) + i += 1 + else: + need(i + 2 < len(word) and gate[0] == "SCALE2", "Temporary source scale") + middle, last = word[i + 1:i + 3] + need(middle[0] == "ADD" and middle[2] == gate[1] and + middle[1] != gate[1] and last == ["SCALE2", gate[1], -gate[2]], + "Literal source restoration before the next term") + terms.append((middle[1], middle[2], F(middle[3]) * F(2) ** gate[2])) + i += 3 + return terms + + +def relabel(word, selected): + result = [] + for gate in word: + copy = gate[:] + copy[1] = selected[copy[1]] + if copy[0] == "ADD": + copy[2] = selected[copy[2]] + result.append(copy) + return result + + +def main(): + ap = argparse.ArgumentParser() + ap.add_argument("--out", type=Path, required=True) + args = ap.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 2**30, "Disk floor") + data, manifest = {}, {} + for name, (path, digest) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, "Source pin " + name) + manifest[name] = {"path": str(path), "sha256": digest, "bytes": len(raw)} + if path.suffix == ".json": + data[name] = json.loads(raw) + for name in ("CAPTURE-WORD.json", "CHECKS.json"): + need((PRODUCER / "capture-word-normal" / name).read_bytes() == + (PRODUCER / "capture-word-optimized" / name).read_bytes(), "Producer run equality") + source, section, literal, published = (data[k] for k in ("response", "section", "literal", "receipt")) + selected, ordinary = section["selected_carriers"], section["ordinary_carriers"] + need(literal["selected_carriers"] == selected and literal["ordinary_carriers"] == ordinary, + "Actual carrier lists") + u, v = rows(source["correction_U"]), rows(source["correction_V"]) + ua, uai = [u[p] for p in selected], rows(section["minor_inverse"]) + need(product(ua, uai) == product(uai, ua) == unit(30), "Both actual minor inverse orders") + b, bi = rows(section["B0"]), rows(section["B0_inverse"]) + need(product(v, u) == b and product(b, bi) == product(bi, b) == unit(30), "Actual B0") + pivot_map = [{selected[j]: x for j, x in row.items()} for row in uai] + projection = product(u, pivot_map) + capture = unit(112) + for i, p in enumerate(selected): + capture[p] = v[i].copy() + for p in ordinary: + capture[p] = combine({p: F(1)}, projection[p], F(-1)) + pre = [{selected[i]: F(1), **{p: -v[i][p] for p in ordinary if p in v[i]}} for i in range(30)] + decode = product(u, product(bi, pre)) + for p in ordinary: + decode[p] = combine(decode[p], {p: F(1)}, F(1)) + need(capture == rows(data["code"]["capture"]) and decode == rows(data["code"]["decode"]), + "Source reconstruction agrees with the reviewed code") + word, inverse = literal["capture"], literal["decode"] + need(len(word) == len(inverse) == 550 and inverse == [gate_inverse(g) for g in reversed(word)], + "Exact reversed inverse word") + boundaries = literal["capture_boundaries"] + need(boundaries == {"minor_inverse": 102, "complement": 354, "B0": 430, "capture": 550}, + "Exact block boundaries") + minor = selected_map(uai, selected) + scatter = unit(112) + for p in ordinary: + scatter[p].update({selected[j]: -x for j, x in u[p].items()}) + gather = unit(112) + for i, p in enumerate(selected): + gather[p].update({q: x for q, x in v[i].items() if q in ordinary}) + segment_checks = {} + start = 0 + for label, target in (("minor_inverse", minor), ("complement", scatter), + ("B0", selected_map(b, selected)), ("capture", gather)): + end = boundaries[label] + segment = word[start:end] + need(backward(segment) == extend(target), "Independent reverse block " + label) + segment_checks[label] = invoice(segment) + start = end + scatter_terms = parse_scatter(word[102:354]) + need(Counter(scatter_terms) == Counter((p, selected[j], -x) for p in ordinary for j, x in u[p].items()), + "Every U_O scatter term and restored source") + need(Counter(abs(x) for _, _, x in scatter_terms) == {F(1, 2): 64, F(1): 60}, + "Actual scatter coefficient counts") + need(Counter(parse_scatter(word[430:])) == + Counter((selected[i], p, x) for i, row in enumerate(v) for p, x in row.items() if p in ordinary), + "Every V_O gather term") + for label, events, expected in (("capture", word, capture), ("generic_decode", inverse, decode)): + state, bounds, witnesses = replay(events) + need(state == backward(events) == extend(expected), "Both 640-column methods " + label) + need(bounds == published[label]["prefix_bounds"] and invoice(events) == published[label]["invoice"], + "Exact published bounds and invoice " + label) + segment_checks[label + "_peak_steps"] = witnesses + decoded, valid_bounds, valid_peaks = replay(inverse, extend(capture), exact=True) + need(decoded == unit(640) and valid_bounds == published["valid_decode"], "Valid-code decode") + need(replay(word, extend(decode))[0] == unit(640), "Other complete inverse order") + scaled_identity = [{i: F(60)} for i in range(640)] + generic_scaled, generic_grid_bounds, _ = replay(inverse, scaled_identity, exact=True, integral=True) + need(generic_scaled == [{j: 60 * x for j, x in row.items()} for row in extend(decode)], + "Generic inverse on an explicit common integer grid") + constants = data["constants"]["families"]["rank30"]["words"] + chains = {} + for label, target_name in (("G0", "response"), ("G0_inverse", "response_inverse")): + full = word + relabel(constants[label], selected) + inverse + state, bounds, peaks = replay(full, exact=True) + target = extend(rows(source[target_name])) + need(state == backward(full) == target, "Both complete chain methods " + label) + need(bounds == published["complete_scalar_chains"][label]["prefix_bounds"] and + invoice(full) == published["complete_scalar_chains"][label]["invoice"], + "Complete chain costs and prefixes " + label) + chains[label] = {"invoice": invoice(full), "prefix_bounds": bounds, "peak_steps": peaks} + for name, (path, digest) in PINS.items(): + need(sha256(path.read_bytes()).hexdigest() == digest, "Input bytes unchanged " + name) + result = { + "status": "PASS_INDEPENDENT_CAPTURE_WORD_REVIEW", + "source_pins": manifest, + "all_input_columns": 640, "unchanged_other_roles": 528, + "forward_and_backward_methods": True, + "both_inverse_orders": True, + "blocks": segment_checks, + "capture": published["capture"], + "generic_decode": published["generic_decode"], + "valid_decode": {"prefix_bounds": valid_bounds, "peak_steps": valid_peaks}, + "generic_integer_grid": {"input_scale": 60, "prefix_bounds": generic_grid_bounds, + "all_prefixes_integral": True}, + "complete_scalar_chains": chains, + "odd_arithmetic_head_coefficients": {"one_direction": 176, "complete_chain": 352}, + "preserved_inputs": True, + "scope": "Common-chart scalar word. No physical cut, native endpoint, outer map cost, or complete supplier invoice.", + } + args.out.mkdir(parents=True, exist_ok=False) + (args.out / "CHECKS.json").write_text(json.dumps(result, sort_keys=True, indent=2) + "\n") + (args.out / "SOURCE-MANIFEST.json").write_text(json.dumps(manifest, sort_keys=True, indent=2) + "\n") + print(result["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/CHECKS.json new file mode 100644 index 0000000000..0dc5f87313 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/CHECKS.json @@ -0,0 +1,460 @@ +{ + "families": { + "rank16": { + "centre_dimension": 16, + "factor_U_denominators": [ + 1, + 2 + ], + "factor_V_denominators": [ + 1 + ], + "square_section": { + "checked_data_columns": 112, + "code_heights": { + "3": 1, + "5": 0, + "7": 0 + }, + "inverse_code_heights": { + "3": 1, + "5": 0, + "7": 0 + }, + "minor_inverse_denominators": [ + 1 + ], + "minor_inverse_is_dyadic": true, + "minor_rows": [ + 0, + 1, + 2, + 3, + 6, + 7, + 8, + 9, + 10, + 11, + 13, + 15, + 17, + 18, + 23, + 24 + ], + "symbolic_phase_extension": "J=Q^2 U, J_A^-1=U_A^-1 Q_A^2, D=B0^-1 V Q^2; Q^4=I." + }, + "word_checks": { + "B0": { + "complex_gate_counts": { + "MULTIPLY_ODD": 8, + "NEG": 16, + "SCALE2": 32 + }, + "generic_grid": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "8", + "unit_add_operand_l1": "0" + }, + "generic_grid_scale": 1, + "independent_field_frame_covariance": true, + "old_real_scalar_units": 96, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "8", + "unit_add_operand_l1": "0" + }, + "real_odd_scans": { + "3": 16 + }, + "valid_code": null + }, + "B0_inverse": { + "complex_gate_counts": { + "DIVIDE_ODD": 8, + "NEG": 16, + "SCALE2": 32 + }, + "generic_grid": { + "exact_odd_divisions": 8, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "24", + "unit_add_operand_l1": "0" + }, + "generic_grid_scale": 24, + "independent_field_frame_covariance": true, + "old_real_scalar_units": 96, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 3, + "3": 1, + "5": 0, + "7": 0 + }, + "stored_l1": "1", + "unit_add_operand_l1": "0" + }, + "real_odd_scans": { + "3": 16 + }, + "valid_code": { + "exact_odd_divisions": 8, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "8", + "unit_add_operand_l1": "0" + } + }, + "G0": { + "complex_gate_counts": { + "MULTIPLY_ODD": 16, + "NEG": 16 + }, + "generic_grid": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "7", + "unit_add_operand_l1": "0" + }, + "generic_grid_scale": 1, + "independent_field_frame_covariance": true, + "old_real_scalar_units": 32, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "7", + "unit_add_operand_l1": "0" + }, + "real_odd_scans": { + "5": 16, + "7": 16 + }, + "valid_code": null + }, + "G0_inverse": { + "complex_gate_counts": { + "DIVIDE_ODD": 16, + "NEG": 16 + }, + "generic_grid": { + "exact_odd_divisions": 16, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "35", + "unit_add_operand_l1": "0" + }, + "generic_grid_scale": 35, + "independent_field_frame_covariance": true, + "old_real_scalar_units": 32, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 1, + "7": 1 + }, + "stored_l1": "1", + "unit_add_operand_l1": "0" + }, + "real_odd_scans": { + "5": 16, + "7": 16 + }, + "valid_code": { + "exact_odd_divisions": 16, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "7", + "unit_add_operand_l1": "0" + } + } + } + }, + "rank30": { + "centre_dimension": 30, + "factor_U_denominators": [ + 1, + 2 + ], + "factor_V_denominators": [ + 1 + ], + "square_section": { + "checked_data_columns": 112, + "code_heights": { + "3": 1, + "5": 1, + "7": 0 + }, + "inverse_code_heights": { + "3": 1, + "5": 1, + "7": 0 + }, + "minor_inverse_denominators": [ + 1 + ], + "minor_inverse_is_dyadic": true, + "minor_rows": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 13, + 15, + 18, + 19, + 21, + 23, + 24, + 25, + 26, + 29, + 31, + 37, + 39, + 41, + 43, + 71, + 78, + 87 + ], + "symbolic_phase_extension": "J=Q^2 U, J_A^-1=U_A^-1 Q_A^2, D=B0^-1 V Q^2; Q^4=I." + }, + "word_checks": { + "B0": { + "complex_gate_counts": { + "ADD": 16, + "MULTIPLY_ODD": 22, + "NEG": 30, + "SCALE2": 8 + }, + "generic_grid": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "5", + "unit_add_operand_l1": "5" + }, + "generic_grid_scale": 1, + "independent_field_frame_covariance": false, + "old_real_scalar_units": 204, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "5", + "unit_add_operand_l1": "5" + }, + "real_odd_scans": { + "3": 22, + "5": 22 + }, + "valid_code": null + }, + "B0_inverse": { + "complex_gate_counts": { + "ADD": 16, + "DIVIDE_ODD": 22, + "NEG": 30, + "SCALE2": 8 + }, + "generic_grid": { + "exact_odd_divisions": 22, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "45", + "unit_add_operand_l1": "45" + }, + "generic_grid_scale": 30, + "independent_field_frame_covariance": false, + "old_real_scalar_units": 204, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 1, + "3": 1, + "5": 1, + "7": 0 + }, + "stored_l1": "3/2", + "unit_add_operand_l1": "3/2" + }, + "real_odd_scans": { + "3": 22, + "5": 22 + }, + "valid_code": { + "exact_odd_divisions": 22, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "5", + "unit_add_operand_l1": "7" + } + }, + "G0": { + "complex_gate_counts": { + "ADD": 16, + "NEG": 30, + "SCALE2": 41 + }, + "generic_grid": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "4", + "unit_add_operand_l1": "4" + }, + "generic_grid_scale": 1, + "independent_field_frame_covariance": false, + "old_real_scalar_units": 270, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "4", + "unit_add_operand_l1": "4" + }, + "real_odd_scans": {}, + "valid_code": null + }, + "G0_inverse": { + "complex_gate_counts": { + "ADD": 16, + "NEG": 30, + "SCALE2": 41 + }, + "generic_grid": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "20", + "unit_add_operand_l1": "20" + }, + "generic_grid_scale": 4, + "independent_field_frame_covariance": false, + "old_real_scalar_units": 270, + "prefix": { + "exact_odd_divisions": 0, + "height": { + "2": 2, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "5", + "unit_add_operand_l1": "5" + }, + "real_odd_scans": {}, + "valid_code": { + "exact_odd_divisions": 0, + "height": { + "2": 0, + "3": 0, + "5": 0, + "7": 0 + }, + "stored_l1": "4", + "unit_add_operand_l1": "7" + } + } + } + } + }, + "native_calls_replayed": 0, + "scope": "Common-chart scalar words and an algebraic square section. No source access, physical views, leases, controller, or caller admission.", + "source_pins": { + "literal": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "sha256": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368" + }, + "rank16": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "payload_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "rank30": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + } + }, + "status": "PASS_INDEPENDENT_ACTUAL_CENTRE_CONSTANT_REVIEW" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json new file mode 100644 index 0000000000..916be8f549 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json @@ -0,0 +1,17 @@ +{ + "files": { + "CHECKS.json": "5f5e747fa39703ed169007e4099c2a0bfc43246eba77b972c4cdcbd1a250916b", + "REVIEW.md": "9908050a9eafe9d7047e70078f690f4610d157b6b35cd62c6ed85629e8d390c6", + "SOURCE-MANIFEST.json": "1e1a0ab3bee4af667a3ba1e1fe2ec3800466664924516960b36ef9db5c5aa964", + "check_review.py": "d0c35dd95bb1a39190bc090f768f3dbbb9c542fddf05f96b6ea3dc4c2e070553" + }, + "free_bytes_at_freeze": 19305783296, + "native_calls_replayed": 0, + "normal_optimized_byte_identical": true, + "physical_capture_checked": false, + "publication_authorized": false, + "rank16_independent_frame_covariance": true, + "scope": "Actual constant scalar words, rank16 independent frames, and algebraic square section. No source access, ownership, native, controller, or caller admission.", + "sources_unchanged": true, + "status": "FROZEN_INDEPENDENT_CENTRE_CONSTANT_AND_SQUARE_SECTION_REVIEW" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/REVIEW.md new file mode 100644 index 0000000000..341305873c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/REVIEW.md @@ -0,0 +1,220 @@ +# Independent review of the actual constant centre readers + +The exact checks pass for both source families. There is no unresolved +local finding in the scalar words, their costs, or the square section +identity. The rank-sixteen words are valid in independent linear frames +on their existing fields. This review does not establish source capture, +native access, field ownership, a controller, or a complete supplier. + +The source hashes and the final producer proof hash are in +`SOURCE-MANIFEST.json`. The review imports no producer module. +It does not replay a native program. + +## Source reconstruction + +The checker reads the actual correction factors U and V. It computes +B0=VU and checks the complete 112-port identity E=I+UV against each +source response. U has only denominators one and two. V is integral +in both source families. + +The rank-sixteen matrices are + +```text +B0 = diag(-6 I_8, -8 I_8), +G0 = I+B0 = diag(-5 I_8, -7 I_8). +``` + +The rank-thirty B0 consists of eight copies of B, eleven scalar +blocks -5, and three scalar blocks -3: + +```text +B = [-4 1], B^-1 = [-1/3 -1/6], + [ 2 -2] [-1/3 -2/3] + +G = [-3 1], G^-1 = [-1 -1]. + [ 2 -1] [-2 -3] +``` + +The checker verifies all entries, including every off-block zero. +It verifies both inverse orders for B0 and G0. + +## Literal word and complete price + +For the B word, after y-=x and x*=3 the values are (3x,y-x). +The next subtraction gives (4x-y,y-x). Doubling the second value +and negating both values gives (-4x+y,2x-2y), as required. +The word uses two unit ADDs, one binary scale, two signs, and one +complex multiplication by three. Its old scalar price is 22. + +For G, the first update gives y-2x. The next subtraction gives +3x-y in the first field. Negating both values gives (-3x+y,2x-y). +The temporary doubling and halving of x implement the first update +without a new field. The old price is 24. + +The review uses the emitted literal words. It checks every input +column by forward row propagation and by reverse output-covector +propagation. It includes two arbitrary spectator columns and checks +that no event reads or writes outside the centre bank. All inverse +words have the stated endpoint. + +| Family | Word, in either direction | Old real scalar units | Real fixed-odd scans | +| --- | --- | ---: | --- | +| Rank sixteen | B0 | 96 | 16 at three | +| Rank sixteen | G0 | 32 | 16 at five and 16 at seven | +| Rank thirty | B0 | 204 | 22 at three and 22 at five | +| Rank thirty | G0 | 270 | 0 | + +The forward scans multiply. The inverse scans divide. The odd scans +are additional to the old scalar price. They are not free old unit +operations. No word clears a field or discards an arbitrary input. +Each update is an invertible rational operation. + +## Independent frames for rank sixteen + +The checker explicitly verifies that none of the four rank-sixteen +words has an interfield ADD. Each event on field j is c I_j for a +rational scalar c. For any declared linear frame F_j, + +```text +(c I_j) F_j = F_j (c I_j). +``` + +Thus every prefix commutes with diag(F_1,...,F_16), even when all +frames differ. The scalars on the first eight fields need not equal +the scalars on the last eight fields. This is an exact identity at +every field width. + +Consequently, these four scalar words need no entry or exit views +for frame alignment once the actual sixteen fields and their numeric +format are admitted. Exact odd division still needs the common grid +and the full precision guard. The identity does not apply to an +unproved rounded quotient. + +The rank-thirty words contain pair ADDs. Those updates still require +the actual pair frames or a proved operator that connects them. +This review does not remove that condition. + +## Prefix and grid checks + +The exact prefix maxima agree with the producer table: + +| Family | Word | Stored row sum | Binary height | Odd height | +| --- | --- | ---: | ---: | --- | +| Rank sixteen | B0 | 8 | 0 | 0 | +| Rank sixteen | B0 inverse | 1 | 3 | 1 at three | +| Rank sixteen | G0 | 7 | 0 | 0 | +| Rank sixteen | G0 inverse | 1 | 0 | 1 at five and seven | +| Rank thirty | B0 | 5 | 0 | 0 | +| Rank thirty | B0 inverse | 3/2 | 1 | 1 at three and five | +| Rank thirty | G0 | 4 | 0 | 0 | +| Rank thirty | G0 inverse | 5 | 2 | 0 | + +The rank-thirty unit-ADD operand row sums have the same maxima as +the respective stored row sums. There are no such operands in the +rank-sixteen words. The producer's factor-two temporary bound is +therefore conservative. + +The review checks all stored numerators and all odd divisions on +generic integer grids. Sufficient respective grid scales for the +four inverse words are 24, 35, 30, and 4 in the table's family order. +These include binary scale as well as odd scale. + +The review also starts each inverse at its exact forward matrix. +Every division is then exact with no root scale at all, and the +complete endpoint is identity. This is a valid-code result. It does +not certify an arbitrary reader input as a valid code. + +## The reader and the square section + +For the actual constant factors, define + +```text +J = Q^2 U, +D = B0^-1 V Q^2. +``` + +The relation Q^4=I gives + +```text +DJ = B0^-1 V Q^4 U = B0^-1 B0 = I. +``` + +No translation inverse of VQ^2U occurs in this proof. It does not +form the value VQ^2 a on physical hardware or prove where that value +is available. + +For a row set A with an invertible J_A, write O for the other rows. +Put t=J_A^-1 a_A. Then + +```text +a = J t + embed_O r, r=a_O-J_O J_A^-1 a_A, +D a = t+D_O r. +``` + +It follows that the square code and inverse are + +```text +C a = (D a, a_O-J_O J_A^-1 a_A), +u = c-D_O r, +a_A = J_A u, +a_O = r+J_O u. +``` + +This proves both inverse orders with the factors in their given +order. No factors are commuted. Extending both maps by identity on +every unrelated role gives a complete whole-state type. + +DJ=I alone does not imply that a coordinate minor J_A is a dyadic +unit. For example, J=(3,5)^T and D=(2,-1) satisfy DJ=1, but neither +one-row minor of J is a unit over Z[1/2]. The minor condition is a +separate premise of the general construction. + +For these actual sources, one canonical finite row-minor check +satisfies that premise algebraically. The row lists are in +`CHECKS.json`. Both U_A inverses are integral. The checker constructs +the full square C and C^-1 at Q^2=I and checks both inverse orders +on all 112 data columns. + +The phase extension is + +```text +J_A = Q_A^2 U_A, J_A^-1 = U_A^-1 Q_A^2. +``` + +This uses the actual identity (Q_A^2)^2=I. For the odd-height claim, +the declared Q^2 operators, routes, and frames must also be Gaussian +dyadic. The fourth-power identity alone does not imply that coefficient +condition. + +If J and J_A^-1 are Gaussian dyadic, each coefficient in C or C^-1 +uses at most one factor D. Hence both odd heights are bounded by the +height of D. The actual common-chart checks give height one at three +for rank sixteen, and height one at three and five for rank thirty. +The finite minor witnesses do not supply a physical capture word. + +## Typed recursion and remaining obligations + +The square code can be a type in the conditional theorem reviewed +in `clique-code-grid-review-20261020`. It does not by itself establish +a child endpoint C_out A C_in^-1. The actual caller must prove that +identity on every data, borrowed, and live numeric work column. +It must also prove the decoded child-entry and internal-prefix bounds. + +The rank-sixteen frame result removes alignment views only for the +four diagonal scalar words on an existing centre bank. It does not +create that bank, establish a lease, admit a source read, preserve +helper progress, or prove an interstage return. No native, controller, +supplier, or kappa claim is made here. + +The independent normal and optimized runs both return +`PASS_INDEPENDENT_ACTUAL_CENTRE_CONSTANT_REVIEW`. Their receipts are +byte-identical. Run the checker with new output directories: + +```text +python3 -I -B check_review.py --out review-final-normal +python3 -I -O -B check_review.py --out review-final-optimized +``` + +No PR, commit, push, or publication is authorized. Before any future +PR description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/SOURCE-MANIFEST.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..28d69f59ba --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/SOURCE-MANIFEST.json @@ -0,0 +1,27 @@ +{ + "literal": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "sha256": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368" + }, + "producer_checker": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py", + "sha256": "985fe7e86d153564894303d8fd9955991942c08bab0000997a6393da2bd26568" + }, + "producer_proof": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md", + "sha256": "d231301931e0877825b9ff3b4005dff865268d6e0557e8f8e05766375543e86a" + }, + "producer_receipt": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CHECKS.json", + "sha256": "c5a11253190da02ca061b1dc75ab2d6f25d279e305eb87e6a7dfc607d5010400" + }, + "rank16": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "payload_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "rank30": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/check_review.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/check_review.py new file mode 100644 index 0000000000..57aa2ff8bd --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/check_review.py @@ -0,0 +1,299 @@ +"""Check the actual centre constants without producer imports.""" + +import argparse +from collections import Counter +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parents[1] +LANES = LANE.parent +PRODUCER = LANE / "rational-code-admission-20261020" +PINS = { + "rank30": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", + ), + "rank16": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b", + ), + "literal": ( + PRODUCER / "centre-constants-normal/CENTRE-CONSTANTS.json", + "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368", + ), +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def eye(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def mm(a, b): + columns = list(zip(*b)) + return [[sum(x * y for x, y in zip(row, col) if x and y) + for col in columns] for row in a] + + +def dense(rows, n): + return [[F(row.get(str(j), 0)) for j in range(n)] for row in rows] + + +def inverse(a): + n = len(a) + rows = [row[:] + unit for row, unit in zip(a, eye(n))] + for j in range(n): + k = next((k for k in range(j, n) if rows[k][j]), None) + need(k is not None, "Nonsingular exact matrix") + rows[j], rows[k] = rows[k], rows[j] + q = rows[j][j] + rows[j] = [x / q for x in rows[j]] + for k in range(n): + if k != j and rows[k][j]: + q = rows[k][j] + rows[k] = [x - q * y for x, y in zip(rows[k], rows[j])] + return [row[n:] for row in rows] + + +def height(x, p): + d, result = x.denominator, 0 + while d % p == 0: + d //= p + result += 1 + return result + + +def dyadic(a): + return all(x.denominator & (x.denominator - 1) == 0 for row in a for x in row) + + +def row_minor(a): + basis, indices = {}, [] + for i, original in enumerate(a): + row = original[:] + for p in sorted(basis): + q = row[p] + if q: + row = [x - q * y for x, y in zip(row, basis[p])] + p = next((p for p, x in enumerate(row) if x), None) + if p is not None: + q = row[p] + basis[p] = [x / q for x in row] + indices.append(i) + if len(indices) == len(a[0]): + break + need(len(indices) == len(a[0]), "Full column rank") + return indices + + +def factor(g): + if g[0] == "NEG": + return F(-1) + if g[0] == "SCALE2": + return F(2) ** g[2] + if g[0] == "MULTIPLY_ODD": + return F(g[2]) + need(g[0] == "DIVIDE_ODD", "Known scalar gate") + return F(1, g[2]) + + +def replay(word, n, initial=None, integral=False): + rows = eye(n + 2) if initial is None else [row[:] for row in initial] + peak = max(sum(abs(x) for x in row) for row in rows) + temporary = F(0) + levels = {p: 0 for p in (2, 3, 5, 7)} + divisions = 0 + for g in word: + t = g[1] + need(0 <= t < n, "Only centre targets") + if g[0] == "ADD": + s, q = g[2:] + need(0 <= s < n and s != t and q in (-1, 1), "Only centre unit sources") + temporary = max(temporary, sum(abs(x) for x in rows[t]) + + sum(abs(x) for x in rows[s])) + rows[t] = [x + q * y for x, y in zip(rows[t], rows[s])] + else: + if g[0] == "DIVIDE_ODD" and integral: + need(all(x.denominator == 1 and x.numerator % g[2] == 0 + for x in rows[t]), "Exact integer numerator division") + divisions += 1 + q = factor(g) + rows[t] = [q * x for x in rows[t]] + if integral: + need(all(x.denominator == 1 for x in rows[t]), "Integral stored prefix") + peak = max(peak, sum(abs(x) for x in rows[t])) + for p in levels: + levels[p] = max(levels[p], max(height(x, p) for x in rows[t])) + need(rows[n:] == eye(n + 2)[n:] if initial is None else rows[n:] == initial[n:], + "Arbitrary spectator rows are unchanged") + need(all(row[n:] == [0, 0] for row in rows[:n]), "No spectator columns enter data") + return rows, {"stored_l1": str(peak), "unit_add_operand_l1": str(temporary), + "height": levels, "exact_odd_divisions": divisions} + + +def reverse_replay(word, n): + result = [] + for i in range(n + 2): + row = [F(i == j) for j in range(n + 2)] + for g in reversed(word): + if g[0] == "ADD": + row[g[2]] += g[3] * row[g[1]] + else: + row[g[1]] *= factor(g) + result.append(row) + return result + + +def square_code(u, d, selected): + n, r = len(u), len(selected) + ordinary = [i for i in range(n) if i not in selected] + ua, uu = [u[i] for i in selected], [u[i] for i in ordinary] + ai = inverse(ua) + projection = mm(uu, ai) + c = [row[:] for row in d] + for k, i in enumerate(ordinary): + row = [F(i == j) for j in range(n)] + for j, a in enumerate(selected): + row[a] -= projection[k][j] + c.append(row) + du = [[row[i] for i in ordinary] for row in d] + x = mm(u, du) + ci = [u[i][:] + [-value for value in x[i]] for i in range(n)] + for j, i in enumerate(ordinary): + ci[i][r + j] += 1 + need(mm(c, ci) == mm(ci, c) == eye(n), "Both complete square-code inverse orders") + bound = {p: max(height(x, p) for row in d for x in row) for p in (3, 5, 7)} + for a in (c, ci): + need(all(max(height(x, p) for row in a for x in row) <= bound[p] for p in bound), + "Square code and inverse preserve the D odd-height bound") + return { + "minor_rows": selected, + "minor_inverse_is_dyadic": dyadic(ai), + "minor_inverse_denominators": sorted({x.denominator for row in ai for x in row}), + "code_heights": {p: max(height(x, p) for row in c for x in row) for p in bound}, + "inverse_code_heights": {p: max(height(x, p) for row in ci for x in row) for p in bound}, + "checked_data_columns": n, + "symbolic_phase_extension": "J=Q^2 U, J_A^-1=U_A^-1 Q_A^2, D=B0^-1 V Q^2; Q^4=I.", + } + + +def main(): + ap = argparse.ArgumentParser() + ap.add_argument("--out", type=Path, required=True) + args = ap.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 2**30, "Disk floor") + data, sources = {}, {} + for name, (path, pin) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == pin, "Source hash " + name) + sources[name] = {"path": str(path), "sha256": pin} + if name == "rank16": + raw = gzip.decompress(raw) + digest = sha256(raw).hexdigest() + need(digest == "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "Native payload hash") + sources[name]["payload_sha256"] = digest + obj = json.loads(raw) + data[name] = obj.get("model", obj) + results = {} + for family, n in (("rank16", 16), ("rank30", 30)): + model = data[family] + literal = data["literal"]["families"][family] + u, v = dense(model["correction_U"], n), dense(model["correction_V"], 112) + need(dyadic(u) and dyadic(v), "Both actual factors are dyadic") + b = mm(v, u) + g = [[x + F(i == j) for j, x in enumerate(row)] for i, row in enumerate(b)] + uv = mm(u, v) + e = [[x + F(i == j) for j, x in enumerate(row)] for i, row in enumerate(uv)] + need(e == dense(model["response"], 112), "Actual response I+UV") + expected = eye(n) + if n == 16: + for i in range(n): + expected[i][i] = F(-6 if i < 8 else -8) + else: + for i in range(0, 16, 2): + expected[i][i:i + 2] = [F(-4), F(1)] + expected[i + 1][i:i + 2] = [F(2), F(-2)] + for i in range(16, n): + expected[i][i] = b[i][i] + need(Counter(b[i][i] for i in range(16, n)) == {F(-5): 11, F(-3): 3}, + "Actual scalar block multiplicities") + need(b == expected, "Complete actual block matrix, including off-block zeros") + bi, gi = inverse(b), inverse(g) + need(mm(b, bi) == mm(bi, b) == eye(n) and + mm(g, gi) == mm(gi, g) == eye(n), "Both matrix inverse orders") + targets = {"B0": b, "B0_inverse": bi, "G0": g, "G0_inverse": gi} + checks = {} + for label, target in targets.items(): + if label in ("B0", "G0"): + need(target == [[F(x) for x in row] for row in literal[label]], + "Published constant matrix") + word = literal["words"][label] + target_full = eye(n + 2) + target_full[:n] = [row + [F(0), F(0)] for row in target] + rows, bounds = replay(word, n) + need(rows == reverse_replay(word, n) == target_full, "Both scalar replay directions") + counts = Counter(gate[0] for gate in word) + if n == 16: + need(not counts["ADD"], "Every rank16 prefix is fieldwise scalar") + cost = 8 * counts["ADD"] + 2 * (counts["SCALE2"] + counts["NEG"]) + expected_cost = (96 if label.startswith("B0") else 32) if n == 16 else ( + 204 if label.startswith("B0") else 270) + need(cost == expected_cost, "Exact old scalar invoice") + scans = Counter((gate[0], gate[2]) for gate in word + if gate[0] in ("MULTIPLY_ODD", "DIVIDE_ODD")) + expected_scans = {3: 16} if n == 16 and label.startswith("B0") else ( + {5: 16, 7: 16} if n == 16 else ( + {3: 22, 5: 22} if label.startswith("B0") else {})) + need({p: 2 * count for (_, p), count in scans.items()} == expected_scans, + "Exact separate odd scans") + scale = 2**bounds["height"][2] + for p in (3, 5, 7): + scale *= p**bounds["height"][p] + initial = [[scale * x for x in row] for row in eye(n + 2)] + grid_result, grid_bounds = replay(word, n, initial, True) + need(grid_result == [[scale * x for x in row] for row in target_full], + "Generic exact integer grid") + valid_bounds = None + if label.endswith("_inverse"): + source = targets[label.removesuffix("_inverse")] + initial = eye(n + 2) + initial[:n] = [row + [F(0), F(0)] for row in source] + result, valid_bounds = replay(word, n, initial, True) + need(result == eye(n + 2), "Valid-code decode without any root scale") + checks[label] = {"old_real_scalar_units": cost, + "complex_gate_counts": dict(counts), + "independent_field_frame_covariance": n == 16, + "real_odd_scans": expected_scans, "prefix": bounds, + "generic_grid_scale": scale, "generic_grid": grid_bounds, + "valid_code": valid_bounds} + d = mm(bi, v) + need(mm(d, u) == eye(n), "Actual constant section DJ=I") + selected = row_minor(u) + section = square_code(u, d, selected) + results[family] = {"centre_dimension": n, + "factor_U_denominators": sorted({x.denominator for row in u for x in row}), + "factor_V_denominators": sorted({x.denominator for row in v for x in row}), + "word_checks": checks, "square_section": section} + receipt = {"status": "PASS_INDEPENDENT_ACTUAL_CENTRE_CONSTANT_REVIEW", + "source_pins": sources, "families": results, + "native_calls_replayed": 0, + "scope": "Common-chart scalar words and an algebraic square section. No source access, physical views, leases, controller, or caller admission."} + args.out.mkdir(parents=True, exist_ok=False) + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + print(json.dumps({family: row["square_section"] for family, row in results.items()}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/CHECKS.json new file mode 100644 index 0000000000..d185fca6bb --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/CHECKS.json @@ -0,0 +1,169 @@ +{ + "all_data_columns": 112, + "arbitrary_spectator_columns": 2, + "determinant": "2251875390625", + "group_sizes": [ + 6, + 6, + 6, + 6, + 6, + 6, + 6, + 6, + 8, + 8, + 8, + 8, + 8, + 8, + 8, + 8 + ], + "independent_typed_fixture": { + "arbitrary_helpers_read": 2, + "completed_calls": 24, + "maximum_typed_heights": { + "5": 1, + "7": 1 + }, + "mismatched_height": 8 + }, + "literal_word_checks": { + "forward": { + "counts": { + "ADD": 384, + "MULTIPLY_ODD": 16, + "NEG": 126, + "SCALE2": 48 + }, + "event_count": 574, + "generic_grid": { + "checked_odd_divisions": 0, + "height": { + "2": 0, + "5": 0, + "7": 0 + }, + "stored_row_l1": "1400", + "unit_add_operand_l1": "1400" + }, + "old_real_scalar_units": 3420, + "prefix": { + "checked_odd_divisions": 0, + "height": { + "2": 1, + "5": 0, + "7": 0 + }, + "stored_row_l1": "20", + "unit_add_operand_l1": "20" + }, + "real_odd_scans": 32 + }, + "inverse": { + "counts": { + "ADD": 384, + "DIVIDE_ODD": 16, + "NEG": 126, + "SCALE2": 48 + }, + "event_count": 574, + "generic_grid": { + "checked_odd_divisions": 16, + "height": { + "2": 0, + "5": 0, + "7": 0 + }, + "stored_row_l1": "1260", + "unit_add_operand_l1": "1260" + }, + "old_real_scalar_units": 3420, + "prefix": { + "checked_odd_divisions": 0, + "height": { + "2": 1, + "5": 1, + "7": 1 + }, + "stored_row_l1": "18", + "unit_add_operand_l1": "18" + }, + "real_odd_scans": 32 + } + }, + "negative_mode_signs": 4, + "older_response_entry_differences": { + "forward": 1154, + "inverse": 1704 + }, + "principal_inverse_denominators": { + "ordinary_inverse": [ + 7, + 31, + 62 + ], + "selected_inverse": [ + 1 + ], + "selected_inverse_block": [ + 5, + 10 + ] + }, + "response_rank_minus_identity": 16, + "scope": "Common-frame scalar code and source equality. No native, phase, controller, or recursive caller replay.", + "signed_pair_blocks": 24, + "signed_scan_cases": 65520, + "source_eigenvalues_and_multiplicities": { + "-5": 8, + "-7": 8, + "1": 96 + }, + "sources": { + "flags": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json", + "sha256": "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585" + }, + "literal": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/verified-final-normal/CLIQUE-CODES.json", + "sha256": "0b30ecf807c99c0e3239136bca4d2db129765879dbfd09a25b4447fb7ef3ca3f" + }, + "native": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "payload_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "response": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "scan_proof": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md", + "sha256": "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01" + } + }, + "status": "PASS_INDEPENDENT_SIGNED_CLIQUE_CODE_REVIEW", + "syndromes": { + "5": { + "image_rank": 104, + "syndrome_rank": 8 + }, + "7": { + "image_rank": 104, + "syndrome_rank": 8 + } + }, + "valid_code_binary_grid": 4, + "valid_code_prefix": { + "checked_odd_divisions": 16, + "height": { + "2": 0, + "5": 0, + "7": 0 + }, + "stored_row_l1": "80", + "unit_add_operand_l1": "120" + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/FREEZE.json new file mode 100644 index 0000000000..f0b100d658 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/FREEZE.json @@ -0,0 +1,17 @@ +{ + "files": { + "CHECKS.json": "111368597ab1d1f6e8b069df17ab4d74eff68e6ab03301d3afde5df1388d52e4", + "REVIEW.md": "e770470962b39715a6116639e3f9fa7228da6a4c1a5c45fb48dc725fcd45b81a", + "SOURCE-MANIFEST.json": "4d97306bf5dc1877c315e8f3f5c9ce25a23030138fc88f02f68515ecfe059c44", + "check_review.py": "ff5da956d2ad49b12dc5e62d27cf75d0cdbadacee5fd2199895fef49a635ec53" + }, + "free_bytes_at_freeze": 19301113856, + "native_columns_replayed": 0, + "native_replay_performed": false, + "normal_optimized_byte_identical": true, + "producer_source_manifest": "SOURCE-MANIFEST.json", + "publication_authorized": false, + "scope": "Common-frame scalar code, exact odd scans, and conditional all-role type theorem. No native/core/controller/caller admission.", + "source_files_unchanged": true, + "status": "FROZEN_INDEPENDENT_SIGNED_CLIQUE_CODE_AND_CONDITIONAL_TYPED_GRID_REVIEW" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/REVIEW.md new file mode 100644 index 0000000000..2d6443af02 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/REVIEW.md @@ -0,0 +1,234 @@ +# Independent review of the signed clique code and typed grid + +Status: the independent exact checks pass. The conditional type theorem +has no unresolved local proof finding. See `FREEZE.json` for the checked +source bytes and this review's hashes. + +The reviewed claim is a scalar code on 112 fields in one proved common +frame. The recursive grid result is conditional on the stated whole-state +types, child-entry relations, and prefix bounds. Neither claim supplies a +native inverse response, a helper lease, a new controller, or a complete +supplier cost. + +## Independent source construction + +Let A be the actual direct sum of 24 signed pair matrices. On the other +64 coordinates, A is identity. The pair matrices have entries in +{1,-1} and satisfy A_e A_e^T=2I. + +For each of the eight six-mode groups, let d_g be its actual signed +indicator, and set w_g=A^T d_g. For each of the eight small cliques, let +w_g be its unsigned indicator. Then + +```text +w_g^T w_h = 0 when g differs from h, +w_g^T w_g = 12 for a six-mode group, +w_g^T w_g = 8 for a small clique. +``` + +Thus the source matrices must be + +```text +E = I - sum_large w_g w_g^T/2 - sum_small w_g w_g^T, +E^-1 = I - sum_large w_g w_g^T/10 - sum_small w_g w_g^T/7. +``` + +This construction uses signed source rows. It does not import a producer +module or form the expected endpoint from the emitted word. The review +checker compares these matrices with both endpoint matrices in the +frozen native extension. It does not +replay the native extension. + +The 16 nonzero orthogonal vectors prove rank(E-I)=16. The eigenvalues +are 1 with multiplicity 96, -5 with multiplicity 8, and -7 with +multiplicity 8. Hence det(E)=35^8. The same decomposition proves both +inverse orders and the stated quadratic inverse polynomial. + +## Literal scalar word + +For an unsigned group of size k, put m=k-1. Write a_i for the original +nonpivot values and p_0 for the original pivot. The forward word first +sets each nonpivot to a_i-p_0. Its middle steps set the pivot to +-sum_i a_i. The final additions give a_i-sum_j a_j-p_0. These are +exactly the coordinates of (I-11^T)x. + +For the inverse word, the pivot before its odd division is +sum_i a_i-(k-2)p_0. Division by -m sets it to +p_0-(sum_i a_i+p_0)/m. The last loop adds the same correction to each +nonpivot. This proves I-11^T/m. Sign conjugation proves the signed +version. + +The independent checker reads the final literal event list. It first +accumulates each output covector in reverse event order. It then checks +all forward prefixes with a separate row update. Both runs include all +112 data columns and two arbitrary spectator columns. Each event must +read and write only the 112 data fields. This address check, rather than +the choice of two spectator examples, proves that every untouched role +is unchanged. + +Each direction has 574 complex events: 384 unit ADDs, 126 signs, +48 binary scales, and 16 odd operations. The scalar count is 3,420 old +real units, with 32 real odd scans charged separately. The forward odd +operations multiply; the inverse odd operations divide. + +The exact maximum stored row sum is 20 forward and 18 inverse. +The sum of the two unit-ADD operand row norms has the same respective +maximum. The binary denominator height is one in each direction. +The inverse odd height is one at five and one at seven; the forward +odd height is zero. + +## Exact division and stored values + +The review checks each required division on the common integer grid +with scale 70. It separately starts the inverse on 4E and checks every +division without an odd root factor. The latter computation must return +4I. Four is a binary scale, so it does not change the valid-code claim. + +For a positive odd divisor d, low-to-high division has the invariant + +```text +d Q_low = N_low + 2^j c_j, +0 <= c_j < d. +``` + +The next quotient bit is (b-c_j) mod2. At the end of a signed w-bit +word, exactness is equivalent to c_w=d*s_Q-s_N. The quotient cannot +overflow on an exact division. For multiplication, the corresponding +invariant is d N_low=Q_low+2^j c_j. The final test is +c_w=d*s_N-s_Q. It detects signed overflow. + +The retained A8 scan proof gives the explicit arithmetic-head bound +4(w+1). It charges the move to the low end, the arithmetic traversal, +delimiters, and the return. A fixed d needs only finite carry control +and sign flags. The input record is overwritten. There is no remainder +stream. Descriptor and record-counter work remains a separate charge. +The review checks division and multiplication for all signed inputs of +widths 1 through 12 and d in {5,7,35,2145}. +All 65,520 division and multiplication cases pass. + +The factor 64 is a local scalar-word guard. It is not a binary precision +bound for a complete recursive supplier. A root scale must apply to +all physical numeric records, including arbitrary borrowed records. +Addresses, tags, and descriptors are not numeric payloads. + +## Code image and Gaussian coefficients + +In a signed block, the inverse has its only possible odd denominator in +the signed sum divided by k-1. This proves the two syndrome conditions: +eight rows modulo five and eight rows modulo seven. A is a dyadic unit, +so the conditions transfer to the physical coordinates. + +The source matrices are real. Their rank calculations over F_5 and F_7 +extend to Gaussian coefficients. In particular, R0/5R0 is not a field: +it is F_5[i], which has two factors. The claim does not need it to be a +field. The syndrome map has an explicit right inverse after the dyadic +pair basis is applied. It is therefore surjective over R0/pR0. The +kernel-factor criterion L_t M=S_p L_s follows over that ring. The +Chinese remainder argument for the two coprime integer moduli is valid. + +The criterion concerns the complete operator, including helper columns +that a middle map reads. It does not certify a map from only its action +on data columns. + +## Recursive type theorem + +Let u_0 be the dyadic whole-state root input. After j recursive edges, +write the decoded semantic input as + +```text +u_j = D_j ... D_1 u_0. +``` + +The separate child-entry hypothesis gives h_p(u_j)<=j*ell_p. +A stored local state has the form C_cut B_cut u_j. It therefore has +height at most j*ell_p+c_p+ell_p. With j<=D this is +(D+1)ell_p+c_p. + +This proof requires the child-entry bound in addition to a bound on +the child's physical input. Decoding that input can add height. +It also requires the internal arithmetic prefixes, not only the +visible caller cuts. + +For completed calls, exact matching types cancel in their given order: + +```text +(C_m A_m C_(m-1)^-1) ... (C_1 A_1 C_0^-1) C_0 + = C_m A_m ... A_1. +``` + +No factors are commuted. Each A_j must be dyadic on every input +column. A borrowed row with an unproved rational action can invalidate +the bound even when all data columns pass. An unrelated list of +rational physical matrices does not satisfy this premise merely +because its entries have the same odd prime support. + +The independent fixture uses noncommuting rational codes and semantic +shears. It reads two arbitrary helper inputs and keeps their endpoint +rows equal to identity. It compares all columns after every completed +call. A separate unmatched repetition has height eight and supplies a +negative control. This finite check supports the algebra. The induction +above is the proof for arbitrary depth under the hypotheses. + +## Review findings and limits + +The root representation needed an explicit entry condition. The producer +added identity physical type at the root, or a separately proved and +charged initial encoding whose prefixes satisfy the same bounds. +This condition is necessary before multiplying raw dyadic numerators +by the common odd factor. + +The exact four-pass scan constant needed its specific source. The +producer added the pinned A8 scan proof and the general signed carry +formulas. The retained stream text alone states a linear bound; it +does not state this constant. + +The older `RESPONSE-PROGRAM.json` supplies the mode signs and the +certified clique sets. Its own response is a different operator. The +new endpoint differs in 1,154 forward entries and 1,704 inverse entries. +Its chosen small-group partition also differs. The reviewed equality +is with `odd16-normal-v2/EXTENSION-PROGRAM.json.gz`, as the producer +states. It is not an equality with the older response endpoint. + +The prime-31 exclusion is necessary for the ordinary complement of +the selected-eight split. The source `ordinary_inverse` is 104 by 104 +and has reduced denominators {7,31,62}. In contrast, `selected_inverse` +is 8 by 8 and is integral. `selected_inverse_block`, the selected +block of the full inverse, has denominators {5,10}. These are three +different matrices. The full E^-1 code does not introduce 31. + +The outer endpoint condition is separate from the height theorem. +A final rational code cannot be discarded. Exact unscaling restores +the original record format only when the complete required physical +endpoint is dyadic on all roles. If the caller needs the uncoded +semantic output, it must also implement and price code removal. + +This review does not establish current-stage access, old retired-bank +access, phases, helper restoration in a native supplier, storage for a +new caller, or a complete kappa calculation. It does not repeat the +640-column native replay. The common-frame scalar result does not +depend on any such replay being repeated here. + +## Reproduction + +The review checker uses only the Python standard library. It imports +no producer module. Run each command with a new output directory: + +```text +python3 -I -B check_review.py --out review-normal +python3 -I -O -B check_review.py --out review-optimized +``` + +Both runs returned: + +```text +PASS_INDEPENDENT_SIGNED_CLIQUE_CODE_REVIEW +``` + +The two `CHECKS.json` files are byte-identical. The canonical review +receipt is `CHECKS.json` beside this proof. The source manifest records +the producer proof and checker bytes in addition to the exact source +and literal-word pins checked by the review program. + +No PR, commit, push, or publication is authorized. Before any future PR +description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/SOURCE-MANIFEST.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..a7f5634181 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/SOURCE-MANIFEST.json @@ -0,0 +1,39 @@ +{ + "flags": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json", + "sha256": "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585" + }, + "literal": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/verified-final-normal/CLIQUE-CODES.json", + "sha256": "0b30ecf807c99c0e3239136bca4d2db129765879dbfd09a25b4447fb7ef3ca3f" + }, + "native": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "payload_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "producer_checker": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_clique_codes.py", + "sha256": "0cfbfcf80e49f78e2707ab6647982511b8db67d434f00919bf8ff078d0140b24" + }, + "producer_grid": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md", + "sha256": "c06fab014b9dee89b45b1c18c7e3c8a3140a04416f3c63fe52a3f39ac0159639" + }, + "producer_receipt": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/verified-final-normal/CHECKS.json", + "sha256": "6e624db4547ebd6004abbd57430a77f433e4f3bfb3e7bd7afc45d16332c4b54e" + }, + "producer_typed": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/TYPED-CODE-POTENTIAL.md", + "sha256": "79d4c1b596528f1bc5cdb8bbe3da8edbda6a5c27bbca8fd7f4b6417bb6913f6c" + }, + "response": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "scan_proof": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md", + "sha256": "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01" + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/check_review.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/check_review.py new file mode 100644 index 0000000000..1b93eca620 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/clique-code-grid-review-20261020/check_review.py @@ -0,0 +1,377 @@ +"""Check the signed clique code without producer imports or native replay.""" + +import argparse +from collections import Counter +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parents[1] +LANES = LANE.parent +ROOT = LANES.parents[2] +PRODUCER = LANE / "rational-code-admission-20261020" +SOURCES = { + "flags": ( + LANES / "independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json", + "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", + ), + "response": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", + ), + "native": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b", + ), + "literal": ( + PRODUCER / "verified-final-normal/CLIQUE-CODES.json", + "0b30ecf807c99c0e3239136bca4d2db129765879dbfd09a25b4447fb7ef3ca3f", + ), + "scan_proof": ( + LANES / "independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md", + "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01", + ), +} + + +def need(value, label): + if not value: + raise ValueError(label) + + +def eye(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def mm(a, b): + bt = list(zip(*b)) + return [[sum(x * y for x, y in zip(row, col) if x and y) + for col in bt] for row in a] + + +def rank_mod(a, p): + m = [[int(x.numerator * pow(x.denominator, -1, p)) % p + for x in row] for row in a] + r = 0 + for j in range(len(m[0])): + hit = next((i for i in range(r, len(m)) if m[i][j]), None) + if hit is None: + continue + m[r], m[hit] = m[hit], m[r] + inv = pow(m[r][j], -1, p) + m[r] = [x * inv % p for x in m[r]] + for i in range(r + 1, len(m)): + q = m[i][j] + m[i] = [(x - q * y) % p for x, y in zip(m[i], m[r])] + r += 1 + if r == len(m): + break + return r + + +def height(x, p): + d, k = x.denominator, 0 + while d % p == 0: + d //= p + k += 1 + return k + + +def sparse_json(rows): + return [[F(row.get(str(j), 0)) for j in range(len(rows))] + for row in rows] + + +def factor(gate): + if gate[0] == "NEG": + return F(-1) + if gate[0] == "SCALE2": + return F(2) ** gate[2] + if gate[0] == "MULTIPLY_ODD": + return F(gate[2]) + need(gate[0] == "DIVIDE_ODD", "Known scalar gate") + return F(1, gate[2]) + + +def reverse_rows(word): + """Accumulate output covectors from the last event to the first.""" + out = [] + for i in range(114): + row = [F(i == j) for j in range(114)] + for gate in reversed(word): + t = gate[1] + need(0 <= t < 112, "Only data targets") + if gate[0] == "ADD": + s, q = gate[2:] + need(0 <= s < 112 and s != t and q in (-1, 1), + "Only distinct data sources") + row[s] += q * row[t] + else: + row[t] *= factor(gate) + out.append(row) + return out + + +def prefix_replay(word, start, integral=False): + rows = [row[:] for row in start] + maxima = {p: 0 for p in (2, 5, 7)} + norm = max(sum(abs(x) for x in row) for row in rows) + add_operand_bound = F(0) + divisions = 0 + for gate in word: + t = gate[1] + if gate[0] == "ADD": + s, q = gate[2:] + add_operand_bound = max( + add_operand_bound, + sum(abs(x) for x in rows[t]) + sum(abs(x) for x in rows[s])) + rows[t] = [a + q * b for a, b in zip(rows[t], rows[s])] + else: + if integral and gate[0] == "DIVIDE_ODD": + need(all(x.denominator == 1 and x.numerator % gate[2] == 0 + for x in rows[t]), "Every odd division is exact") + divisions += 1 + q = factor(gate) + rows[t] = [q * x for x in rows[t]] + if integral: + need(all(x.denominator == 1 for x in rows[t]), "Integral prefix") + norm = max(norm, sum(abs(x) for x in rows[t])) + for p in maxima: + maxima[p] = max(maxima[p], max(height(x, p) for x in rows[t])) + return rows, { + "stored_row_l1": str(norm), + "unit_add_operand_l1": str(add_operand_bound), + "height": maxima, + "checked_odd_divisions": divisions, + } + + +def scan_word(n, w, d, divide): + """Use an independent two's-complement recurrence.""" + c, result = 0, 0 + for j in range(w): + bit = (n >> j) & 1 + if divide: + a = (bit ^ c) & 1 + c = (c + d * a - bit) // 2 + else: + total = d * bit + c + a, c = total & 1, total >> 1 + need(0 <= c < d, "Bounded finite carry") + result |= a << j + sign_in = int(n < 0) + sign_out = result >> (w - 1) + condition = d * sign_out - sign_in if divide else d * sign_in - sign_out + return c == condition, result - (sign_out << w) + + +def typed_check(): + c, ci = eye(4), eye(4) + c[0][:2], c[1][:2] = [F(1, 5), F(1, 35)], [F(0), F(1, 7)] + ci[0][:2], ci[1][:2] = [F(5), F(-1)], [F(0), F(7)] + need(mm(c, ci) == mm(ci, c) == eye(4), "Independent typed fixture inverse") + frame, frame_inverse = eye(4), eye(4) + frame[1][0], frame_inverse[1][0] = F(1, 2), F(-1, 2) + codes = [eye(4), c, mm(frame, c)] + inverse_codes = [eye(4), ci, mm(ci, frame_inverse)] + need(mm(codes[1], codes[2]) != mm(codes[2], codes[1]), + "Noncommuting rational boundary codes") + state, semantic, old_type = eye(4), eye(4), 0 + peaks = {5: 0, 7: 0} + for j in range(24): + next_type = (j + 1) % 3 + a = eye(4) + a[j % 2][(j + 1) % 2] = F(1 if j % 3 else -1, 2) + a[j % 2][2 + j % 2] = F(1, 4) + m = mm(codes[next_type], mm(a, inverse_codes[old_type])) + state, semantic = mm(m, state), mm(a, semantic) + need(state == mm(codes[next_type], semantic), "Typed endpoint on all columns") + need(state[2:] == eye(4)[2:], "Arbitrary helpers have identity endpoint") + for p in peaks: + peaks[p] = max(peaks[p], max(height(x, p) for row in state for x in row)) + need(peaks[p] <= 1, "Typed height does not count completed siblings") + old_type = next_type + need(any(state[i][j] for i in range(2) for j in range(2, 4)), + "The fixture reads arbitrary helper columns") + bad = eye(4) + for _ in range(8): + bad = mm(c, bad) + need(max(height(x, 5) for row in bad for x in row) == 8 and + max(height(x, 7) for row in bad for x in row) == 8, + "Unmatched physical repetition increases odd height") + return {"completed_calls": 24, "maximum_typed_heights": peaks, + "arbitrary_helpers_read": 2, "mismatched_height": 8} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 2**30, "Three GiB free") + sources, pins = {}, {} + for name, (path, expected) in SOURCES.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == expected, "Pinned source " + name) + pins[name] = {"path": str(path), "sha256": expected} + if name == "native": + raw = gzip.decompress(raw) + digest = sha256(raw).hexdigest() + need(digest == "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "Native raw payload pin") + pins[name]["payload_sha256"] = digest + if name != "scan_proof": + sources[name] = json.loads(raw) + f, r, n, literal = [sources[k] for k in ("flags", "response", "native", "literal")] + model = n["model"] + a = eye(112) + affected = [] + for pair in f["pair_codes"]: + ports, block = pair["ports"], pair["matrix"] + need(mm([[F(x) for x in row] for row in block], + [[F(x) for x in col] for col in zip(*block)]) == + [[2 * x for x in row] for row in eye(2)], "Pair orthogonality") + for port, row in zip(ports, block): + a[port] = [F(0)] * 112 + for source, value in zip(ports, row): + a[port][source] = F(value) + affected += ports + need(len(affected) == len(set(affected)) == 48, "Disjoint pair ports") + need(sorted(affected) == f["affected_ports"], "Actual affected ports") + signs = {} + for item in r["vertex_assignments"]: + group = f["cyclic_carriers"][item["vertex"]] + need(set(group) == set(item["ordered_carriers_a_b_c"]), "Actual carrier group") + signs.update(zip(item["ordered_carriers_a_b_c"], item["signs"])) + need(len(signs) == 48 and sum(x == -1 for x in signs.values()) == 4, + "Exactly four negative mode signs") + groups = f["cyclic_carriers"] + model["small_cliques"] + need([len(g) for g in groups] == [6] * 8 + [8] * 8, "Block sizes") + need(sorted(x for group in groups for x in group) == list(range(112)), + "Full port partition") + need(model["vertex_assignments"] == r["vertex_assignments"], + "Native signs match actual response") + need(all(g in r["maximal_small_cliques"] for g in groups[8:]), + "Small clique certificate") + need(literal["pair_codes"] == f["pair_codes"] and + literal["six_mode_blocks"] == groups[:8] and + literal["eight_cliques"] == groups[8:] and + {int(k): v for k, v in literal["mode_signs"].items()} == signs, + "Literal metadata binds all source signs and groups") + weights = [[sum(signs.get(p, 1) * a[p][j] for p in group) + for j in range(112)] for group in groups] + for g, wg in enumerate(weights): + for h, wh in enumerate(weights): + expected = (2 if g < 8 else 1) * len(groups[g]) if g == h else 0 + need(sum(x * y for x, y in zip(wg, wh)) == expected, + "Orthogonal signed source covectors") + endpoints, old_response_differences = {}, {} + for direction in ("forward", "inverse"): + e = eye(112) + for g, w in enumerate(weights): + denominator = (2 if g < 8 else 1) + if direction == "inverse": + denominator *= len(groups[g]) - 1 + for i in range(112): + if w[i]: + for j in range(112): + e[i][j] -= w[i] * w[j] / denominator + key = "response" if direction == "forward" else "response_inverse" + need(e == sparse_json(model[key]), + "The frozen native matrix matches the outer-product construction") + previous = sparse_json(r[key]) + old_response_differences[direction] = sum( + e[i][j] != previous[i][j] for i in range(112) for j in range(112)) + endpoints[direction] = e + need(mm(endpoints["forward"], endpoints["inverse"]) == eye(112) and + mm(endpoints["inverse"], endpoints["forward"]) == eye(112), + "Both source inverse orders") + reports = {} + for direction, word in literal["words"].items(): + target = eye(114) + target[:112] = [row + [F(0), F(0)] for row in endpoints[direction]] + need(reverse_rows(word) == target, "Reverse covector replay") + actual, prefix = prefix_replay(word, eye(114)) + need(actual == target, "Forward prefix replay matches reverse replay") + grid = 70 + initial = [[grid * x for x in row] for row in eye(114)] + exact, integer = prefix_replay(word, initial, True) + need(exact == [[grid * x for x in row] for row in target], "Generic exact grid") + counts = Counter(g[0] for g in word) + scalar = 8 * counts["ADD"] + 2 * (counts["NEG"] + counts["SCALE2"]) + need(counts["ADD"] == 384 and counts["NEG"] == 126 and + counts["SCALE2"] == 48 and scalar == 3420, "Exact scalar invoice") + need(sum(g[0] in ("MULTIPLY_ODD", "DIVIDE_ODD") for g in word) == 16, + "Thirty-two real odd scans") + need(prefix["height"][2] == 1 and prefix["stored_row_l1"] == + ("20" if direction == "forward" else "18"), "Exact prefix bounds") + need(F(prefix["unit_add_operand_l1"]) <= 64, "Unit-ADD temporary bound") + reports[direction] = {"event_count": len(word), "counts": dict(counts), + "old_real_scalar_units": scalar, "real_odd_scans": 32, + "prefix": prefix, "generic_grid": integer} + valid = eye(114) + valid[:112] = [row + [F(0), F(0)] for row in endpoints["forward"]] + valid = [[4 * x for x in row] for row in valid] + decoded, valid_bounds = prefix_replay(literal["words"]["inverse"], valid, True) + need(decoded == [[4 * x for x in row] for row in eye(114)], + "Valid-code inverse without an odd root scale") + syndromes = {} + for p, rows in ((5, weights[:8]), (7, weights[8:])): + need(rank_mod(rows, p) == 8, "Surjective real syndrome rows") + need(rank_mod(endpoints["forward"], p) == 104, "Exact reduced code image") + image = mm(rows, endpoints["forward"]) + need(all(x.numerator % p == 0 for row in image for x in row), + "Zero code image syndrome") + syndromes[p] = {"syndrome_rank": 8, "image_rank": 104} + scan_cases = 0 + for d in (5, 7, 35, 2145): + for w in range(1, 13): + lo, hi = -(1 << (w - 1)), (1 << (w - 1)) - 1 + for x in range(lo, hi + 1): + ok, y = scan_word(x, w, d, True) + need(ok == (x % d == 0), "Exact signed division accepts only multiples") + if ok: + need(d * y == x, "Exact signed quotient") + ok, y = scan_word(x, w, d, False) + need(ok == (lo <= d * x <= hi), "Exact signed overflow decision") + if ok: + need(y == d * x, "Exact signed product") + scan_cases += 2 + principal = {} + for name in ("ordinary_inverse", "selected_inverse", "selected_inverse_block"): + if name in model: + denominators = sorted({F(x).denominator for row in model[name] for x in row.values()}) + principal[name] = denominators + receipt = { + "status": "PASS_INDEPENDENT_SIGNED_CLIQUE_CODE_REVIEW", + "sources": pins, + "signed_pair_blocks": 24, + "group_sizes": [len(g) for g in groups], + "negative_mode_signs": 4, + "all_data_columns": 112, + "arbitrary_spectator_columns": 2, + "response_rank_minus_identity": 16, + "source_eigenvalues_and_multiplicities": {"1": 96, "-5": 8, "-7": 8}, + "determinant": str(35**8), + "older_response_entry_differences": old_response_differences, + "literal_word_checks": reports, + "valid_code_binary_grid": 4, + "valid_code_prefix": valid_bounds, + "syndromes": syndromes, + "signed_scan_cases": scan_cases, + "independent_typed_fixture": typed_check(), + "principal_inverse_denominators": principal, + "scope": "Common-frame scalar code and source equality. No native, phase, controller, or recursive caller replay.", + } + args.out.mkdir(parents=True, exist_ok=False) + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + print(json.dumps({"scans": scan_cases, "words": reports, "principal": principal}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/CHECKS.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/CHECKS.json new file mode 100644 index 0000000000..0dff8b9c0a --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/CHECKS.json @@ -0,0 +1,166 @@ +{ + "gaussian_mod5": { + "elements": 25, + "isomorphism": "a+ib -> (a+2b,a-2b) in F5 x F5", + "operation_pairs": 625 + }, + "matrix_checks": { + "B0_blocks": { + "minus_five": 11, + "minus_three": 3, + "two_by_two": 8 + }, + "both_capture_inverse_orders": true, + "both_response_conjugacies": true, + "both_response_inverse_orders": true, + "capture_binary_height": 1, + "data_columns": 112, + "minor_determinant": "-1/256", + "minor_inverse_integral": true + }, + "negative_controls": { + "arbitrary_helper": { + "data_block": "identity", + "helper_value": 1, + "mod5_syndrome": 1, + "target": 5 + }, + "unit_add": { + "invalid_pair": [ + 2, + 1 + ], + "mod3_syndrome": 1, + "source": 27, + "target": 0, + "valid_centre_pair": [ + 1, + 1 + ] + } + }, + "preserved_source_bytes": true, + "producer_normal_optimized_equal": true, + "scope": "Exact scalar code and full-role dyadic image criterion. No elementary capture invoice or physical caller.", + "source_pins": { + "checker": { + "bytes": 7958, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py", + "sha256": "8f4dd74601bb40248bc642469256679361c4841aa496fe907682f3beb405c043" + }, + "constant_review": { + "bytes": 886, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json", + "sha256": "36195b052b3cf2e989b02070be09881de9cdf9d8e3f84ff325f3f3fd18710d00" + }, + "constants": { + "bytes": 80400, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "sha256": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368" + }, + "payload": { + "bytes": 115590, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json", + "sha256": "8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e" + }, + "proof": { + "bytes": 9038, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/UNNORMALISED-CODE.md", + "sha256": "a89acbfead19cf4fdbeedafc8544f8910705fd27569f44301e1e8087746a719f" + }, + "receipt": { + "bytes": 1064, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json", + "sha256": "6058c99b814f26a061ad93ef2121c4a86578822f819c2f4fdc4fac5043932510" + }, + "response": { + "bytes": 266369, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "section": { + "bytes": 52433, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json", + "sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7" + } + }, + "status": "PASS_INDEPENDENT_UNNORMALISED_CODE_REVIEW", + "syndromes": { + "3": { + "both_response_quotient_actions": "identity", + "capture_rank_over_Fp": 101, + "integral_right_inverse": true, + "right_inverse_ports": [ + 0, + 9, + 11, + 20, + 37, + 41, + 76, + 78, + 18, + 19, + 39 + ], + "rows": 11 + }, + "5": { + "both_response_quotient_actions": "identity", + "capture_rank_over_Fp": 101, + "integral_right_inverse": true, + "right_inverse_ports": [ + 5, + 3, + 24, + 23, + 1, + 8, + 29, + 26, + 4, + 6, + 31 + ], + "rows": 11 + } + }, + "valid_constant_inverse_prefixes": { + "B0_parameter": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "5" + }, + "H": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "38" + }, + "H_inverse": { + "binary_height": 2, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "28" + }, + "identity": { + "binary_height": 0, + "odd_height": 0, + "real_divisions": { + "3": 22, + "5": 22 + }, + "stored_row_l1": "10" + } + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/FREEZE.json new file mode 100644 index 0000000000..7589e4cbfc --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/FREEZE.json @@ -0,0 +1,23 @@ +{ + "files": { + "CHECKS.json": { + "bytes": 5181, + "sha256": "ea67698efc1d12b8cdf3226b73fe7814a94eefd4886e4935c1b445f5aeac1223" + }, + "REVIEW.md": { + "bytes": 7852, + "sha256": "df7b1f221aa03d7e02c4aa455e31585c174e3f2201730e043481fcfb2df76110" + }, + "SOURCE-MANIFEST.json": { + "bytes": 2567, + "sha256": "be2bfa13d8185db277f64877bfdd143cd75469528d14591032a423e8f1a78c2b" + }, + "check_review.py": { + "bytes": 14996, + "sha256": "1f4a66c49cda7c42f0c34d9321de36799ec9b295896f67086782587585dcafd0" + } + }, + "scope": "Actual 112-coordinate scalar code and full-role dyadic image test. No elementary capture invoice or physical caller.", + "status": "FROZEN_INDEPENDENT_UNNORMALISED_CODE_REVIEW", + "validation": "Normal and optimized receipts are byte-identical. All input hashes were checked before and after." +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/REVIEW.md new file mode 100644 index 0000000000..f74f1d705d --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/REVIEW.md @@ -0,0 +1,218 @@ +# Independent review of the unnormalised rank-thirty code + +The stated scalar code and its complete dyadic image test pass this +review. There is no material algebra finding. This result uses the +actual 112-port matrices and the chosen thirty source rows. It does +not admit an elementary capture invoice, a native caller, a physical +view, a helper endpoint, or a complete kappa calculation. + +The review binds `UNNORMALISED-CODE.md` at SHA256 +`a89acbfead19cf4fdbeedafc8544f8910705fd27569f44301e1e8087746a719f`. +`SOURCE-MANIFEST.json` gives all source paths and hashes. The checker +does not import or execute producer code. It reconstructs both code +matrices from U and V. It also computes the selected minor inverse +without using the supplied inverse. Only then does it compare with +the serialized matrices. + +## Exact source reconstruction + +Let A be the thirty selected physical ports in the source order and +let O be the other eighty-two ports. Exact elimination gives + +```text +det(U_A) = -1/256, U_A^-1 has integer entries. +``` + +The product VU is exactly the stated direct sum: eight copies of +`[[-4,1],[2,-2]]`, eleven scalar blocks -5, and three scalar blocks +-3. The -3 centre indices are 25, 26, and 27. All off-block entries +are zero. + +Put T=U_A^-1 select_A. The independent capture is + +```text +(Csum a)_A = V a, +(Csum a)_O = a_O - U_O T a. +``` + +Put P(c,r)=c-V_O r. The independent inverse is + +```text +Csum^-1(c,r) = U B0^-1 P(c,r) + (0,r). +``` + +Both 112-column inverse orders are the identity. Both matrices +equal the final producer payload. The capture has binary denominator +height one and has no odd denominator. The checker also verifies + +```text +Csum = diag(B0,I_O) C0, +P Csum = B0 T. +``` + +It reconstructs E=I+UV and E^-1=I-U G0^-1 V and compares them with +both actual response matrices. Both inverse orders pass. If +H=diag(G0,I_O), both identities pass on all 112 input columns: + +```text +Csum E Csum^-1 = H, +Csum E^-1 Csum^-1 = H^-1. +``` + +## Complete image criterion over the stated ring + +Use R0=Z[i,1/2]. For z=(c,r) in R0^112, let w=Pz. Since U_A is +a unit matrix over R0, + +```text +z is in Csum R0^112 if and only if w is in B0 R0^30. +``` + +For one two-coordinate block, its inverse is + +```text +[[-1/3,-1/6],[-1/3,-2/3]]. +``` + +Both inverse numerators vanish modulo three exactly when +w0-w1 vanishes modulo three. The factor two is a unit in R0. +The scalar -3 and -5 blocks give their coordinate conditions. +These conditions are sufficient as well as necessary; no higher +odd power occurs. + +Thus the image Lambda is exactly the joint kernel of L3 and L5 +modulo their indicated primes. Each has eleven rows. The checker +reconstructs both matrices, checks every actual capture column, and +checks an exact integral right inverse. The right inverse columns +are unit vectors at these physical ports: + +```text +L3: 0,9,11,20,37,41,76,78,18,19,39 +L5: 5,3,24,23,1,8,29,26,4,6,31. +``` + +This verifies surjectivity without a field hypothesis. As a separate +real-matrix check, each Lp has rank eleven and Csum has rank 101 +over Fp, for p=3 and p=5. Those rank checks are not the proof of +sufficiency over the Gaussian ring. + +The quotient at five is split: + +```text +R0/5R0 -> F5 x F5, +a+ib -> (a+2b,a-2b). +``` + +The checker verifies the bijection and both ring operations on all +625 pairs of elements. In particular, this quotient is not F25. +The right inverses and the Chinese remainder theorem give + +```text +R0^112/Lambda is isomorphic to +(R0/3R0)^11 direct-sum (R0/5R0)^11. +``` + +This is the full quotient. It is not only a count of necessary +congruences. + +## Middle operations and arbitrary roles + +For a dyadic matrix M, the following three statements are equivalent: + +```text +M Lambda is contained in Lambda; +ker(Lp) is contained in ker(Lp M), for p=3,5; +Lp M = Sp Lp modulo p, for some Sp and p=3,5. +``` + +For necessity, fix a residue in ker Lp. The Chinese remainder +theorem lifts it to a vector with that residue at p and zero residue +at the other prime. This lift belongs to Lambda. Apply M and take +the p residue. For factorization, choose the explicit right inverse +Rp. The vector z-Rp Lp z belongs to ker Lp, so one can take +Sp=Lp M Rp. These arguments work in both residue rings, including +the split ring at five. + +Both H and H^-1 act as the identity on both quotients. The checker +verifies Lp H=Lp=Lp H^-1 modulo p. They preserve Lambda in both +directions, not only in one direction. + +Two negative controls show why the full premise is needed. + +- Set the first two centre coordinates to (1,1), with all other + code coordinates zero. This is a valid code value. The unit ADD + from physical port 27 to port 0 changes this pair to (2,1). + Its first mod3 syndrome is one, and its decoded value is not + dyadic. Thus even a unit ADD can leave Lambda. +- Start with zero data and an arbitrary helper value one. An ADD + from that helper to physical port 5 has an identity data-to-data + block, but its helper column has mod5 syndrome one. The decoded + data require an odd denominator. A data-only matrix check would + miss this failure. + +For arbitrary additional roles, append zero columns to each Lp +and test the complete M. At field width N, the check acts through +Lp tensor I_N. If a middle operation mixes addresses, its full +operator must pass the check. The scalar 112-coordinate calculation +does not establish that condition for a native middle operation. + +## Exact constant decode on valid inputs + +The literal B0^-1 word comes from the separately reviewed centre +constant packet. This review replays that word on B0 itself and +on the three actual decoder arguments + +```text +P Csum, P H Csum, P H^-1 Csum. +``` + +Every division by three or five is exact on every dyadic input +coefficient at that prefix. There are 22 real divisions by three +and 22 by five in each replay. Every resulting prefix is dyadic. +There is no added odd root scale. + +The following bounds apply only to this B0^-1 segment, measured +against the indicated input parameters: + +| Initial argument | Maximum stored row norm | Binary height | Odd height | +| --- | ---: | ---: | ---: | +| B0, relative to its thirty parameters | 5 | 0 | 0 | +| P Csum, relative to raw data | 10 | 0 | 0 | +| P H Csum, relative to raw data | 38 | 0 | 0 | +| P H^-1 Csum, relative to raw data | 28 | 2 | 0 | + +The omitted B0^-1 word has 204 old real scalar units. Its separate +odd scan counts agree with the stated relative capture saving. +This does not supply the complete capture word or its prefix and +address-map costs. The dyadic capture matrix alone cannot prove +the costs of an arbitrary implementation. + +The valid-code result does not remove the common odd-grid premise +for a generic input to B0^-1. It also does not justify a division +on an arbitrary borrowed role. Physical access and sufficient +binary precision remain separate obligations. + +## Transport and validation scope + +For dyadic units Pleft and Pright, the image of +Pleft Csum Pright is Pleft Lambda. The corresponding image test +is Lp Pleft^-1. This formal transport statement is correct. +The producer's Q transport remains conditional on the stated +phase and common-advance hypotheses. The pair-phase operations +and their costs are not supplied by this image test. + +The independent normal and optimized runs have identical receipts: + +```text +python3 -I -B check_review.py --out fresh-normal +python3 -I -O -B check_review.py --out fresh-optimized +``` + +Both return `PASS_INDEPENDENT_UNNORMALISED_CODE_REVIEW`. +The checker also checks that the producer's final normal and +optimized payloads are identical. It checks all pinned input bytes +again after the review computations. No source file changed. +No native 640-column replay was performed in this packet. + +No publication is authorized. Before any future PR description, +read `/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/SOURCE-MANIFEST.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/SOURCE-MANIFEST.json new file mode 100644 index 0000000000..a0a012af25 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/SOURCE-MANIFEST.json @@ -0,0 +1,42 @@ +{ + "checker": { + "bytes": 7958, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py", + "sha256": "8f4dd74601bb40248bc642469256679361c4841aa496fe907682f3beb405c043" + }, + "constant_review": { + "bytes": 886, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json", + "sha256": "36195b052b3cf2e989b02070be09881de9cdf9d8e3f84ff325f3f3fd18710d00" + }, + "constants": { + "bytes": 80400, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "sha256": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368" + }, + "payload": { + "bytes": 115590, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json", + "sha256": "8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e" + }, + "proof": { + "bytes": 9038, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/UNNORMALISED-CODE.md", + "sha256": "a89acbfead19cf4fdbeedafc8544f8910705fd27569f44301e1e8087746a719f" + }, + "receipt": { + "bytes": 1064, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json", + "sha256": "6058c99b814f26a061ad93ef2121c4a86578822f819c2f4fdc4fac5043932510" + }, + "response": { + "bytes": 266369, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "section": { + "bytes": 52433, + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json", + "sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7" + } +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py new file mode 100644 index 0000000000..931e798b7c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py @@ -0,0 +1,346 @@ +"""Check the rank-thirty code from its pinned scalar factors.""" + +import argparse +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANE = HERE.parents[1] +LANES = LANE.parent +PRODUCER = LANE / "rational-code-admission-20261020" +PINS = { + "section": ( + LANES / "coherent-port/section-entry-20261020/SECTION.json", + "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7", + ), + "response": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", + ), + "proof": ( + PRODUCER / "UNNORMALISED-CODE.md", + "a89acbfead19cf4fdbeedafc8544f8910705fd27569f44301e1e8087746a719f", + ), + "checker": ( + PRODUCER / "check_unnormalised_code.py", + "8f4dd74601bb40248bc642469256679361c4841aa496fe907682f3beb405c043", + ), + "payload": ( + PRODUCER / "unnormalised-final-normal/UNNORMALISED-CODE.json", + "8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e", + ), + "receipt": ( + PRODUCER / "unnormalised-final-normal/CHECKS.json", + "6058c99b814f26a061ad93ef2121c4a86578822f819c2f4fdc4fac5043932510", + ), + "constants": ( + PRODUCER / "centre-constants-normal/CENTRE-CONSTANTS.json", + "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368", + ), + "constant_review": ( + HERE.parent / "centre-constants-review-20261020/FREEZE.json", + "36195b052b3cf2e989b02070be09881de9cdf9d8e3f84ff325f3f3fd18710d00", + ), +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def eye(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def dense(rows, width): + return [[F(row.get(str(j), 0)) for j in range(width)] for row in rows] + + +def mm(a, b): + columns = list(zip(*b)) + return [[sum(x * y for x, y in zip(row, col) if x and y) + for col in columns] for row in a] + + +def inverse_and_det(a): + n = len(a) + rows = [row[:] + unit for row, unit in zip(a, eye(n))] + determinant = F(1) + for j in range(n): + k = next((k for k in range(j, n) if rows[k][j]), None) + need(k is not None, "Nonsingular selected minor") + if k != j: + rows[j], rows[k] = rows[k], rows[j] + determinant *= -1 + q = rows[j][j] + determinant *= q + rows[j] = [x / q for x in rows[j]] + for k in range(n): + if k != j and rows[k][j]: + q = rows[k][j] + rows[k] = [x - q * y for x, y in zip(rows[k], rows[j])] + return [row[n:] for row in rows], determinant + + +def reduced(a, p): + return [[x.numerator * pow(x.denominator, -1, p) % p + for x in row] for row in a] + + +def rank(a, p): + rows, k = reduced(a, p), 0 + for j in range(len(rows[0])): + i = next((i for i in range(k, len(rows)) if rows[i][j]), None) + if i is None: + continue + rows[k], rows[i] = rows[i], rows[k] + q = pow(rows[k][j], -1, p) + rows[k] = [q * x % p for x in rows[k]] + for i in range(k + 1, len(rows)): + q = rows[i][j] + rows[i] = [(x - q * y) % p for x, y in zip(rows[i], rows[k])] + k += 1 + if k == len(rows): + break + return k + + +def dyadic(a): + return all(x.denominator & (x.denominator - 1) == 0 for row in a for x in row) + + +def height2(a): + need(dyadic(a), "Dyadic coefficients") + return max(x.denominator.bit_length() - 1 for row in a for x in row) + + +def embed(a, selected): + result = eye(112) + for i, p in enumerate(selected): + result[p] = [F(0)] * 112 + for j, q in enumerate(selected): + result[p][q] = a[i][j] + return result + + +def replay_inverse(word, initial, expected): + rows = [row[:] for row in initial] + peak = max(sum(abs(x) for x in row) for row in rows) + binary = height2(rows) + scans = Counter() + for gate in word: + op, target = gate[:2] + if op == "ADD": + source, sign = gate[2:] + need(source != target and sign in (-1, 1), "Unit source ADD") + rows[target] = [x + sign * y for x, y in zip(rows[target], rows[source])] + else: + if op == "NEG": + scale = F(-1) + elif op == "SCALE2": + scale = F(2) ** gate[2] + else: + need(op == "DIVIDE_ODD", "Known inverse gate") + p = gate[2] + need(all(x.numerator % p == 0 for x in rows[target]), + "Exact odd division on every dyadic input coefficient") + scans[p] += 2 + scale = F(1, p) + rows[target] = [scale * x for x in rows[target]] + need(dyadic([rows[target]]), "Every valid-code prefix is dyadic") + binary = max(binary, height2([rows[target]])) + peak = max(peak, sum(abs(x) for x in rows[target])) + need(rows == expected, "Literal inverse on all input columns") + need(scans == {3: 22, 5: 22}, "Both exact real odd-scan counts") + return {"stored_row_l1": str(peak), "binary_height": binary, + "odd_height": 0, "real_divisions": dict(scans)} + + +def split_ring_check(): + def split(z): + a, b = z + return ((a + 2 * b) % 5, (a - 2 * b) % 5) + + values = [(a, b) for a in range(5) for b in range(5)] + need(len({split(z) for z in values}) == 25, "Split residue map is bijective") + for a, b in values: + for c, d in values: + x, y = split((a, b)), split((c, d)) + need(split(((a + c) % 5, (b + d) % 5)) == + tuple((u + v) % 5 for u, v in zip(x, y)), "Split addition") + need(split(((a * c - b * d) % 5, (a * d + b * c) % 5)) == + tuple(u * v % 5 for u, v in zip(x, y)), "Split multiplication") + return {"elements": 25, "operation_pairs": 625, + "isomorphism": "a+ib -> (a+2b,a-2b) in F5 x F5"} + + +def main(): + ap = argparse.ArgumentParser() + ap.add_argument("--out", type=Path, required=True) + args = ap.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 2**30, "Disk floor") + objects, sources = {}, {} + for name, (path, digest) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, "Source pin " + name) + sources[name] = {"path": str(path), "sha256": digest, "bytes": len(raw)} + if path.suffix == ".json": + objects[name] = json.loads(raw) + for filename in ("CHECKS.json", "UNNORMALISED-CODE.json"): + need((PRODUCER / "unnormalised-final-normal" / filename).read_bytes() == + (PRODUCER / "unnormalised-final-optimized" / filename).read_bytes(), + "Producer normal and optimized bytes") + model, section, payload = (objects[k] for k in ("response", "section", "payload")) + selected = [0, 27, 9, 61, 11, 63, 20, 46, 37, 110, 41, 106, 76, 87, 78, 99, + 5, 3, 24, 23, 1, 8, 29, 26, 4, 18, 19, 39, 6, 31] + ordinary = [p for p in range(112) if p not in selected] + need(section["selected_carriers"] == payload["selected_carriers"] == selected and + section["ordinary_carriers"] == payload["ordinary_carriers"] == ordinary, + "Actual complete carrier partition") + u, v = dense(model["correction_U"], 30), dense(model["correction_V"], 112) + ua = [u[p] for p in selected] + uai, determinant = inverse_and_det(ua) + need(determinant == F(-1, 256) and all(x.denominator == 1 for row in uai for x in row), + "Minor determinant and integral inverse") + need(uai == dense(section["minor_inverse"], 30), "Source minor inverse") + b = [[F(0)] * 30 for _ in range(30)] + bi = [[F(0)] * 30 for _ in range(30)] + for j in range(0, 16, 2): + b[j][j:j + 2], b[j + 1][j:j + 2] = [F(-4), F(1)], [F(2), F(-2)] + bi[j][j:j + 2], bi[j + 1][j:j + 2] = [F(-1, 3), F(-1, 6)], [F(-1, 3), F(-2, 3)] + for j in range(16, 30): + b[j][j] = F(-3 if j in (25, 26, 27) else -5) + bi[j][j] = 1 / b[j][j] + need(mm(v, u) == b == dense(section["B0"], 30), "Complete actual B0 block pattern") + need(mm(b, bi) == mm(bi, b) == eye(30), "Both B0 inverse orders") + need(bi == dense(section["B0_inverse"], 30), "Source B0 inverse") + g = [[x + F(i == j) for j, x in enumerate(row)] for i, row in enumerate(b)] + gi, _ = inverse_and_det(g) + need(dyadic(gi) and gi == dense(section["H_inverse"], 30), "Actual dyadic G0 inverse") + select = [eye(112)[p] for p in selected] + t = mm(uai, select) + projection = mm(u, t) + capture = eye(112) + for j, p in enumerate(selected): + capture[p] = v[j][:] + for p in ordinary: + capture[p] = [F(p == q) - x for q, x in enumerate(projection[p])] + pre = [row[:] for row in select] + for j in range(30): + for p in ordinary: + pre[j][p] = -v[j][p] + decode = mm(u, mm(bi, pre)) + for p in ordinary: + decode[p][p] += 1 + need(capture == [[F(x) for x in row] for row in payload["capture"]] and + decode == [[F(x) for x in row] for row in payload["decode"]], + "Independent matrices equal the final payload") + need(mm(capture, decode) == mm(decode, capture) == eye(112), "Both 112-column inverse orders") + need(mm(pre, capture) == mm(b, t), "Valid decoder receives B0 times an integral pivot map") + need(capture == mm(embed(b, selected), dense(section["C0"], 112)), + "Relation to the source normalized code") + uv = mm(u, v) + e = [[F(i == j) + x for j, x in enumerate(row)] for i, row in enumerate(uv)] + correction = mm(u, mm(gi, v)) + ei = [[F(i == j) - x for j, x in enumerate(row)] for i, row in enumerate(correction)] + need(e == dense(model["response"], 112) and ei == dense(model["response_inverse"], 112), + "Both actual response matrices") + need(dyadic(e) and dyadic(ei) and mm(e, ei) == mm(ei, e) == eye(112), + "Both response inverse orders") + h, hi = embed(g, selected), embed(gi, selected) + need(h == dense(section["encoded_response"], 112), "Source encoded response") + need(mm(capture, mm(e, decode)) == h and mm(capture, mm(ei, decode)) == hi, + "Both encoded response conjugacies") + need(mm(h, hi) == mm(hi, h) == eye(112), "Both encoded response inverse orders") + syndromes, syndrome_checks = {}, {} + for p in (3, 5): + n, pivots = [], [] + if p == 3: + for j in range(0, 16, 2): + row = [F(0)] * 30 + row[j], row[j + 1] = 1, -1 + n.append(row) + pivots.append(j) + for j in range(16, 30): + if b[j][j].numerator % p == 0: + n.append(eye(30)[j]) + pivots.append(j) + need(len(n) == 11, "Eleven explicit syndrome rows") + l = mm(n, pre) + right = [[F(0)] * 11 for _ in range(112)] + for j, pivot in enumerate(pivots): + right[selected[pivot]][j] = 1 + need(mm(l, right) == eye(11), "Integral right inverse over the full scalar ring") + need(l == [[F(x) for x in row] for row in payload["syndromes"][str(p)]["rows"]], + "Exact published syndrome rows") + need(not any(x for row in reduced(mm(n, b), p) for x in row) and + not any(x for row in reduced(mm(l, capture), p) for x in row), + "All actual capture columns have zero syndrome") + need(rank(l, p) == 11 and rank(capture, p) == 101, "Finite real rank cross-check") + need(reduced(mm(l, h), p) == reduced(l, p) == reduced(mm(l, hi), p), + "Both encoded responses fix the quotient") + syndromes[p] = l + syndrome_checks[p] = {"rows": 11, "capture_rank_over_Fp": 101, + "right_inverse_ports": [selected[j] for j in pivots], + "integral_right_inverse": True, + "both_response_quotient_actions": "identity"} + word = objects["constants"]["families"]["rank30"]["words"]["B0_inverse"] + counts = Counter(gate[0] for gate in word) + need(8 * counts["ADD"] + 2 * (counts["NEG"] + counts["SCALE2"]) == 204, + "Exact scalar cost of the omitted inverse") + valid_checks = {"B0_parameter": replay_inverse(word, b, eye(30))} + for name, middle, raw_middle in (("identity", eye(112), eye(112)), ("H", h, e), ("H_inverse", hi, ei)): + argument = mm(pre, mm(middle, capture)) + valid_checks[name] = replay_inverse(word, argument, mm(t, raw_middle)) + good = [[F(0)] for _ in range(112)] + good[selected[0]][0] = good[selected[1]][0] = 1 + need(dyadic(mm(decode, good)), "Explicit valid code witness") + bad = [row[:] for row in good] + bad[selected[0]][0] += bad[selected[1]][0] + need(reduced(mm(syndromes[3], bad), 3)[0][0] == 1 and not dyadic(mm(decode, bad)), + "Unit ADD can leave the code") + helper_target = selected[16] + need(syndromes[5][0][helper_target] == 1, + "An arbitrary helper can violate the full-role condition") + helper_data = [[F(p == helper_target)] for p in range(112)] + need(not dyadic(mm(decode, helper_data)), "Helper witness needs an odd denominator") + for name, (path, digest) in PINS.items(): + need(sha256(path.read_bytes()).hexdigest() == digest, "Source unchanged " + name) + receipt = { + "status": "PASS_INDEPENDENT_UNNORMALISED_CODE_REVIEW", + "source_pins": sources, + "matrix_checks": { + "data_columns": 112, "minor_determinant": str(determinant), + "minor_inverse_integral": True, "both_capture_inverse_orders": True, + "capture_binary_height": height2(capture), + "both_response_conjugacies": True, "both_response_inverse_orders": True, + "B0_blocks": {"two_by_two": 8, "minus_three": 3, "minus_five": 11}, + }, + "syndromes": syndrome_checks, + "gaussian_mod5": split_ring_check(), + "valid_constant_inverse_prefixes": valid_checks, + "negative_controls": { + "unit_add": {"target": selected[0], "source": selected[1], + "valid_centre_pair": [1, 1], "invalid_pair": [2, 1], + "mod3_syndrome": 1}, + "arbitrary_helper": {"target": helper_target, "helper_value": 1, + "data_block": "identity", "mod5_syndrome": 1}, + }, + "producer_normal_optimized_equal": True, + "preserved_source_bytes": True, + "scope": "Exact scalar code and full-role dyadic image criterion. No elementary capture invoice or physical caller.", + } + args.out.mkdir(parents=True, exist_ok=False) + (args.out / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + (args.out / "SOURCE-MANIFEST.json").write_text(json.dumps(sources, indent=2, sort_keys=True) + "\n") + print(receipt["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD-FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD-FREEZE.json new file mode 100644 index 0000000000..4c37a5e346 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD-FREEZE.json @@ -0,0 +1,16 @@ +{ + "files": { + "CAPTURE-WORD.md": "29386ef90deb1eff60f88a42d74b35d9474fad73a50e540485b212bdb3f9891a", + "capture-word-normal/CAPTURE-WORD.json": "8761a302a154e4e19fedb22a9ccfe1db710ce16b3edf2a0e3704a6d0b837d303", + "capture-word-normal/CHECKS.json": "b3d5eb3b3bc5e25668ac49452aae2012dda387f8a735d0be8b2e036a1ac1f472", + "capture-word-optimized/CAPTURE-WORD.json": "8761a302a154e4e19fedb22a9ccfe1db710ce16b3edf2a0e3704a6d0b837d303", + "capture-word-optimized/CHECKS.json": "b3d5eb3b3bc5e25668ac49452aae2012dda387f8a735d0be8b2e036a1ac1f472", + "check_capture_word.py": "44a122a50ee63a82002501eacb4b9eed84f8b423b757d940c5e509f9c852ca0d" + }, + "independent_review": { + "path": "../owner-review/capture-word-review-20261020/FREEZE.json", + "sha256": "9971cf722c992287ff419b653be3284a3fc3b23938fc090f7612924353e5df28" + }, + "publication": "not authorized", + "status": "producer and independent review pass; complete common-chart scalar code, no physical native caller" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD.md new file mode 100644 index 0000000000..9b03be2781 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CAPTURE-WORD.md @@ -0,0 +1,181 @@ +# A literal scalar word for the unnormalised capture + +The actual rank-thirty capture Csum and its inverse have complete +scalar words on one existing 112-field bank. Each direction costs +2,910 old real scalar units and forty-four real fixed-odd scans. +Capture uses multiplication; decode uses division. There is no new +field and no native child. All 528 other roles in the 640-role test +remain arbitrary and unchanged. + +The word requires a proved common chart on its data bank. It does +not establish that chart at a native source cut. Entry translations, +frame changes, and interstage transport are separate operations. + +## Exact word and source pins + +UNNORMALISED-CODE.md defines the matrices and their full image +test. This packet consumes its payload, SHA256 +`8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e`. +The actual source and selected minor have the pins stated there. +The constant B0 and G0 words come from CENTRE-CONSTANTS.json, +SHA256 +`9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368`. + +The emitted word implements the four exact block updates: + +```text +a_A = U_A^-1 a_A +a_O -= U_O a_A +a_A = B0 a_A +a_A += V_O a_O. +``` + +The selected-minor update has a short factorization. First apply +(x,y)->(x+y,x-y) to each of the first eight selected pairs: + +```text +x += y +y *= 2 +y -= x +negate y. +``` + +Next permute the first sixteen selected coordinates. New coordinate +i takes old coordinate j from this list: + +```text +0,12,1,14,5,11,3,9,7,15,2,4,10,13,6,8. +``` + +Each transposition is lowered to three unit ADDs and one sign: + +```text +x += y +y -= x +x += y +negate y. +``` + +Negate coordinates 1,5,7,9,12,14,15 and all coordinates from 16 +through 29. Finish the minor update with + +```text +a_1 += 2 a_0 +a_9 += 2 a_8 +a_13 += 2 a_12. +``` + +Each coefficient-two ADD uses a temporary source doubling, one +unit ADD, and a source halving. The source is restored before the +next operation. The checker compares this complete minor word +with the actual U_A^-1 on all columns. + +The U_O scatter has 124 terms. Sixty-four terms have absolute +coefficient one half and sixty have absolute coefficient one. +Each half term uses a temporary source halving, a signed unit ADD, +and a source doubling. The reviewed B0 word follows. The final +V_O gather has 120 unit terms. Every source and target is an +existing data field; no field is set to zero or discarded. + +Reverse the event list and invert each event to obtain the decoder. +The only new gate type in that reverse word is exact division by +three or five. The matrices are invertible over the rational field +on arbitrary inputs. Exact dyadic-grid execution of the inverse +requires either a valid code or the separate generic rational-grid +contract. + +## Complete common-chart invoice + +A complex unit ADD costs eight old real scalar units. A complex +sign or one-bit binary scale costs two. The emitted word has 309 +ADDs, 69 signs, 150 binary scales, and 22 complex odd operations. + +| Word | Old real scalar units | Real fixed-odd scans | +| --- | ---: | --- | +| Csum | 2,910 | 22 multiplications by 3 and 22 by 5 | +| Csum inverse | 2,910 | 22 divisions by 3 and 22 by 5 | +| Capture, G0, decode | 6,090 | 22 multiplications and 22 divisions for each of 3 and 5 | +| Capture, G0 inverse, decode | 6,090 | 22 multiplications and 22 divisions for each of 3 and 5 | + +Each row uses zero new owned fields, zero native children, and zero +address maps inside the common chart. The G0 word or its inverse +costs 270 old units, as proved in CENTRE-CONSTANTS.md. + +For n records per real field, the fixed-odd scan bound from the +retained exact arithmetic contract is at most 4n(w_g+1) arithmetic +head steps per real scan. Thus capture or decode adds at most +176n(w_g+1) such steps. Either complete scalar chain adds at most +352n(w_g+1). Descriptor and counter work remains separate and +linear. This packet does not assign a zero cost to an outer view. + +## Exact prefixes and arbitrary inputs + +The checker carries all 640 formal input columns. Each gate has +source and target in the chosen 112-field bank. The other 528 +columns remain identity, and none enters a data output. This +includes arbitrary data in the other bank and arbitrary helper +roles. No zero-state premise is used. + +The prefix bounds use the maximum absolute input component as the +unit. The ADD-operand bound is the sum of the two row norms before +an ADD, before any cancellation. + +| Execution | Stored row bound | ADD-operand bound | Binary height | Odd height | +| --- | ---: | ---: | ---: | --- | +| Capture on arbitrary dyadic data | 15 | 21 | 1 | 0 | +| Generic decode on arbitrary code coordinates | 9 | 13 | 2 | 1 at 3 and 5 | +| Decode on Csum a, relative to a | 15 | 21 | 1 | 0 | +| Capture, G0, decode | 44 | 52 | 1 | 0 | +| Capture, G0 inverse, decode | 44 | 66 | 2 | 0 | + +For each valid execution, the checker verifies every odd division +before it applies the gate. Each coefficient has a denominator +coprime to the divisor and a numerator divisible by it. Thus the +division is exact on arbitrary values from the declared binary +grid. No odd root scale is needed in these valid chains. The table's +binary heights and magnitude bounds must still be paid. + +The two complete scalar chains give E and E^-1, respectively, on +all data columns. They are useful checks of the code interface. +They do not replace the supplier's physical action Q E Q^-1 or +its two-bank native triangular endpoints. + +## Physical scope + +The scalar word is valid when all participating fields have the +same linear frame. The operations then commute with that common +frame. The rank-thirty interfield ADDs are not valid in arbitrary +independent frames without an explicit intertwiner. + +An input-side Q^2 on all 112 fields gives the entry code Csum Q^2 +from the source section theorem. These are 112 explicit field +translations. Their full map cost remains due. The inverse uses +the translations on the opposite side of the scalar inverse. +Neither direction gives the odd transported code Q^-1 Csum Q^-1 +for free. + +Code preservation at a later cut must be proved with the whole +state. The congruence tests in UNNORMALISED-CODE.md give an exact +algebraic test. They do not prove legal source access, partial +native helper restoration, or a final raw-output decoder. No +complete supplier cost or kappa improvement is claimed here. + +## Reproduction and credit + +Run with fresh output directories: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_capture_word.py --out /tmp/capture-word-normal +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_capture_word.py --out /tmp/capture-word-optimized +``` + +Expected status: PASS_ACTUAL_UNNORMALISED_CAPTURE_WORD. Both output +files must match byte for byte. + +The actual U,V and selected minor come from the new-core and +coherent-port lanes. The earlier constant-code packet supplies +the B0 and G0 words. This packet supplies the complete selected +minor lowering, scatter and gather word, inverse, and prefix +invoice. OpenAI Codex assisted the proof and checks. No +publication is authorised. Before any future PR description, +read /Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS-FREEZE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS-FREEZE.json new file mode 100644 index 0000000000..dce9c4ce6f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS-FREEZE.json @@ -0,0 +1,16 @@ +{ + "files": { + "CENTRE-CONSTANTS.md": "d231301931e0877825b9ff3b4005dff865268d6e0557e8f8e05766375543e86a", + "centre-constants-normal/CENTRE-CONSTANTS.json": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368", + "centre-constants-normal/CHECKS.json": "c5a11253190da02ca061b1dc75ab2d6f25d279e305eb87e6a7dfc607d5010400", + "centre-constants-optimized/CENTRE-CONSTANTS.json": "9f45130ccde5bf1624bf051f4b10023411d6f35f0ac99bd6ab13572d4c530368", + "centre-constants-optimized/CHECKS.json": "c5a11253190da02ca061b1dc75ab2d6f25d279e305eb87e6a7dfc607d5010400", + "check_centre_constants.py": "985fe7e86d153564894303d8fd9955991942c08bab0000997a6393da2bd26568" + }, + "independent_review": { + "path": "../owner-review/centre-constants-review-20261020/FREEZE.json", + "sha256": "36195b052b3cf2e989b02070be09881de9cdf9d8e3f84ff325f3f3fd18710d00" + }, + "publication": "not authorized", + "status": "producer and independent review pass; no physical capture or complete supplier claim" +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md new file mode 100644 index 0000000000..6e46d8d129 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md @@ -0,0 +1,227 @@ +# Constant centre readers for the actual rank-sixteen and rank-thirty responses + +The actual factors E=I+UV have an invertible constant matrix B0=VU in +both source families. A section can therefore use + +```text +J_in = Q^2 U, D_in = B0^-1 V Q^2. +``` + +Since Q^4=I on every physical line, D_in J_in=I. This choice does not +need the translation inverse of VQ^2U. In particular, the singularity +of that translation matrix in the rank-sixteen family does not obstruct +this reader. Source capture, physical views, and the later returned +code still need their own proofs. + +This packet gives literal scalar words for B0, B0^-1, G0=I+B0, and +G0^-1. Every word acts on one existing centre bank in a proved common +chart. It uses no owned field, no native child, and no address map +inside that chart. It is not a native query service on an arbitrary +retired bank. + +The four rank-sixteen words also work in independent linear frames +on their fields. The proof below makes this stronger scope explicit. + +## Actual matrices and complete local prices + +The checker pins the actual U and V in the rank-thirty response and +the frozen rank-sixteen native extension. It forms VU directly and +checks E=I+UV against each source's full 112-port response. + +For rank sixteen, + +```text +B0 = diag(-6 I_8, -8 I_8), +G0 = diag(-5 I_8, -7 I_8). +``` + +For rank thirty, B0 has eight blocks B and fourteen scalar blocks. +Eleven scalar blocks are -5 and three are -3. Here + +```text +B = [-4 1], G = I+B = [-3 1]. + [ 2 -2] [ 2 -1] +``` + +Thus G0 has eight copies of G, eleven scalars -4, and three scalars -2. +The block G has determinant one. Its inverse is integral. + +All prices below include every sign, binary scale, and unit ADD in +the literal word. Fixed-odd scans are separate from the old scalar +tariff. A complex unit ADD costs eight old real units. A complex sign +or one-bit binary scale costs two. + +| Family and direction | Old real scalar units | Real fixed-odd scans | +| --- | ---: | --- | +| Rank sixteen B0 | 96 | 16 multiplications by 3 | +| Rank sixteen B0^-1 | 96 | 16 divisions by 3 | +| Rank sixteen G0 | 32 | 16 multiplications by 5 and 16 by 7 | +| Rank sixteen G0^-1 | 32 | 16 divisions by 5 and 16 by 7 | +| Rank thirty B0 | 204 | 22 multiplications by 3 and 22 by 5 | +| Rank thirty B0^-1 | 204 | 22 divisions by 3 and 22 by 5 | +| Rank thirty G0 or G0^-1 | 270 | 0 | + +The rank-sixteen reader therefore needs only the odd prime three. +The primes five and seven are needed when that caller uses G0^-1. +For rank thirty, the reader uses three and five, but G0 and its +inverse are Gaussian dyadic. These are different obligations. + +## Short large-block words + +For B on a pair (x,y), use + +```text +y -= x +x *= 3 +x -= y +y *= 2 +negate x and y +``` + +The outputs are (-4x_old+y_old, 2x_old-2y_old). This word has two +unit ADDs, one binary scale, two signs, and one complex fixed-odd +multiplication. Its old scalar charge is 22. Reverse the event order +and invert each event to obtain B^-1 with the same old charge and +one complex division by three. + +For G use + +```text +y -= 2x +x -= y +negate x and y +``` + +Implement y-=2x by doubling x, doing one unit ADD, and halving x. +The temporary scale is restored before the next update. The outputs +are (-3x_old+y_old, 2x_old-y_old). Its price is 24 old units. Reversing +the literal word gives G^-1 at the same price. + +No live field is cleared or overwritten. Each scalar gate is an +invertible rational operation on arbitrary centre inputs. Unrelated +data, arbitrary borrowed fields, and private fields are unchanged. + +## Independent frames for the rank-sixteen constants + +All gates in each rank-sixteen word act on one field at a time. +For any declared linear frame F_j and scalar c in the word, + +```text +c F_j z = F_j(c z). +``` + +This identity holds for each binary scale, sign, and exact fixed-odd +operation. It also holds for arbitrary independent choices of F_j on +the sixteen fields. Thus these four words need no frame alignment +and no entry or exit view. Their prices in the table are unchanged +at such a framed cut. + +The identity is exact. An unproved rounded division cannot use it +to claim restoration. The common odd grid and full precision guard +remain required. The frame argument does not form the centre, +establish ownership, or move a source read to that cut. + +The rank-thirty words have interfield ADDs within their eight pairs. +Those ADDs still need their actual common frame or a proved +intertwiner. This paragraph does not remove that requirement. + +## Prefix bounds and exact grids + +The checker uses exact fractions on all centre columns and two +arbitrary spectator columns. It verifies that no event reads or writes +a spectator. Thus the unchanged-field claim holds for any number of +unrelated roles. It checks both inverse orders and each valid-code +division. + +| Family and word | Maximum stored row sum | Binary height | New odd height | +| --- | ---: | ---: | --- | +| Rank sixteen B0 | 8 | 0 | 0 | +| Rank sixteen B0^-1 | 1 | 3 | 1 at 3 | +| Rank sixteen G0 | 7 | 0 | 0 | +| Rank sixteen G0^-1 | 1 | 0 | 1 at 5 and 7 | +| Rank thirty B0 | 5 | 0 | 0 | +| Rank thirty B0^-1 | 3/2 | 1 | 1 at 3 and 5 | +| Rank thirty G0 | 4 | 0 | 0 | +| Rank thirty G0^-1 | 5 | 2 | 0 | + +The row sums are relative to the maximum magnitude of the module's +input fields. Twice the displayed bound is a safe bound for a +unit-ADD temporary. The stored input has row sum one, even when all +later inverse values have smaller magnitude. + +Generic inverse calls use the exact common-grid method in +`CLIQUE-CODE-GRID.md`, with the prime set in this table. A valid +B0-code or G0-code can use its inverse without a new odd root factor. +Immediately before each inverse division, the relevant linear +combination has the required odd factor. The checker tests this +divisibility on every input column. A generic reader input must not +be labelled a valid code without that proof. + +The fixed-odd scan cost is at most 4(w_g+1) arithmetic-head steps per +real record. Thus the rank-sixteen B0 inverse adds at most +64 n(w_g+1) such steps for n records per real field. The rank-thirty +B0 inverse adds at most 176 n(w_g+1). Descriptor and record-counter +work is separate and linear. Any required entry and exit views retain +their full address-map prices. The diagonal rank-sixteen constants +require none. + +## A whole-state code for a section + +The following statement supplies a typed-code interface. It does not +claim that the supplier has implemented the required entry or exit. +Let J and D be actual operators with DJ=I_r. Choose r data rows A +such that J_A is a Gaussian-dyadic unit. Let O denote the other data +rows. Define the square data code + +```text +C(a) = (D a, a_O - J_O J_A^-1 a_A). +``` + +For code coordinates (c,r), its inverse is + +```text +u = c - D_O r, +a_A = J_A u, +a_O = r + J_O u. +``` + +Substitution proves both inverse orders. The proof uses +D_A J_A+D_O J_O=I. It does not commute D through J. +Extend C by identity on every unrelated physical role, including +all borrowed roles. This gives a whole-state type. + +If J, J_A^-1, and the required routes and frames are Gaussian dyadic, +the odd height of both C and C^-1 is at most the odd height of D. +For the rank-sixteen reader above this is one at three. For the +rank-thirty reader it is one at three and five. The native children +and all scalar prefixes still need the typed relations in +`TYPED-CODE-POTENTIAL.md`. These local code bounds do not establish +those relations. + +In particular, replacing a bank's entry type C_in by its output type +C_out requires the exact full endpoint C_out A C_in^-1 with dyadic +semantic A on all roles. Productive helper progress, address frames, +interstage changes, and the final raw output remain separate +obligations. No factor is cancelled merely because two callers use +the same odd primes. + +## Reproduction and attribution + +Run the companion checker with a new output directory: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py --out /tmp/centre-constants-normal +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py --out /tmp/centre-constants-optimized +``` + +Expected status: `PASS_ACTUAL_CENTRE_CONSTANT_CODES`. Both output +files must match byte for byte. + +The source factors come from the cyclic-pair and low-displacement +work. The coherent-port lane supplied the constant-reader choice, +the square section code, and the short G block factor. This packet +supplies the short B block factor, actual complete constant words, +and their exact local grid and cost bounds. OpenAI Codex assisted +the proof and checks. No publication is authorized. Before a future +PR description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md new file mode 100644 index 0000000000..5918800b01 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md @@ -0,0 +1,348 @@ +# Exact scalar codes for the signed rank-sixteen response + +The actual pair modes and an actual partition of the other 64 ports give +a full 112-port response E with rank(E-I)=16. Its only eigenvalues are +1, -5, and -7. Both E and its inverse have an in-place scalar word on the +112 data fields. The words need no owned field and no native child at a +proved common-frame cut. + +Each word costs 3,420 old real scalar units and 32 real fixed-odd scans. +The forward scans multiply by five or seven. The inverse scans divide +by five or seven. These scans are separate from the old scalar tariff. +The inverse has at most one new factor five and one new factor seven +at every prefix. All other data and borrowed fields remain unchanged. + +This is an exact scalar construction for the full response. The new +native supplier word, its phases, its helper progress, the controller, +and the complete recursive invoice have separate proofs. In particular, +this packet does not supply a native inverse response. It supplies the +inverse at an already legal common-frame cut. + +## The actual response + +The source files are pinned in `check_clique_codes.py` and the receipt. +The actual pair codes, all 48 mode carriers, and their eight groups come +from `CYCLIC-FLAGS.json`, SHA256 +`3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585`. +The four sign changes and the certified eight-clique sets come from +`RESPONSE-PROGRAM.json`, SHA256 +`5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c`. +The checker also binds both scalar endpoints to the frozen native +extension's `response` and `response_inverse`. Its compressed source is +`odd16-normal-v2/EXTENSION-PROGRAM.json.gz`, SHA256 +`7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b`. +Its decompressed payload has SHA256 +`d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4`. +This equality binds the scalar code to the native response. It does +not repeat the native word or phase checks. + +Let A be the direct sum of the 24 signed two-by-two pair codes, extended +by identity on the other 64 ports. Each pair block satisfies + +```text +A_e A_e^T = 2I, A_e^-1 = A_e^T/2. +``` + +The six carriers at a vertex have a sign vector d_v. Four vertices have +one negative sign each. The other entries are positive. In pair-mode +coordinates, the 48-port block is the direct sum of + +```text +C_v = I_6 - d_v d_v^T, C_v^-1 = I_6 - d_v d_v^T/5. +``` + +On each of the eight certified disjoint eight-cliques, use + +```text +C_8 = I_8 - 1_8 1_8^T, C_8^-1 = I_8 - 1_8 1_8^T/7. +``` + +The 16 groups partition all 112 physical mode labels. Set + +```text +E = A^-1 (direct sum of the 16 blocks) A. +``` + +For a block of size k and a sign vector d, d^T d=k. Thus I-dd^T acts +by 1 on the kernel of d^T and by -(k-1) on its span. This proves + +```text +rank(E-I) = 16, +det(E) = 35^8, +(E-I)(E+5I)(E+7I) = 0, +E^-1 = (E^2+11E+23I)/35. +``` + +The checker constructs both full matrices from the actual pair codes +and carrier sets. It checks both inverse orders and the polynomial +identity with exact fractions. + +The full inverse uses only five and seven. This statement does not +apply to every principal inverse. In particular, a caller that inverts +the 104-port ordinary complement of the selected-eight split introduces +31. Such +a caller must add 31 to its grid and prefix analysis. The determinant +of the full E does not remove that obligation. + +## A word without an owned field + +First conjugate a signed block by its signs. For an unsigned block of +size k, choose its last field as the pivot p. Let the other fields be +x_i. The forward word is + +```text +x_i -= p for every nonpivot i +p *= -(k-1) +p -= x_i for every nonpivot i +x_i += p for every nonpivot i +``` + +After the first loop, x_i is its old value minus the old pivot. The +middle two steps set p to minus the sum of the old nonpivot values. +The final loop therefore returns I-11^T on every coordinate, including +the pivot. + +The inverse word is + +```text +x_i -= p for every nonpivot i +p += x_i for every nonpivot i +p /= -(k-1) +x_i += p for every nonpivot i +``` + +Its new pivot is the old pivot minus the total old sum divided by k-1. +The other outputs have the same correction. This is the stated inverse. +Each word uses three unit-ADD loops, one sign change, and one fixed-odd +scan on each real component of p. No arbitrary data value is cleared. + +For the full word, apply A, apply the four mode signs, run all 16 +blocks, undo the signs, and apply A^-1. The signed pair words use only +unit ADDs, signs, doubling, and halving. Their full literal events are +in `verified-final-normal/CLIQUE-CODES.json`. + +The checker replays 112 independent data columns and two arbitrary +spectator columns. It also checks that no event reads or writes an +index outside the 112 data fields. Thus any number of unrelated borrowed +or owned fields stays exactly unchanged. The two spectator columns are +a check of this scope argument, not a substitute for a helper schedule. + +## Complete scalar invoice + +Each direction has 384 complex unit ADDs, 126 complex signs, and +48 complex binary scales. The retained prices are eight real units +per unit ADD and two per sign or binary scale. Thus + +```text +384*8 + 126*2 + 48*2 = 3420. +``` + +There are eight complex fixed-odd operations with divisor or multiplier +five and eight with divisor or multiplier seven. These are 32 real scans. +Neither direction uses C0, another owned field, or a native child. +There is no address map inside the common chart. + +At a current input-Y cut with frame I, the constant scalar word acts +directly. At a completed-X cut, use the existing current-stage views to +obtain a common FULL chart, apply the word, then undo the views. One +conservative external count is 112 entry views and 112 exit views. +Each view consists of its ordered route and translation, so this is +448 monomial applications when those two operations are counted apart. +Their inherited address-map costs must be paid. No O(V) shortcut is +claimed for interleaved selected bits. + +This access statement does not cover an old query on retired Y or an +arbitrary new physical output code. A new cut must prove its actual +view and phase identity before it uses this scalar invoice. + +Exact prefix row-sum bounds, relative to the full word's input, are +20 for the forward word and 18 for the inverse. These include the pair +codes, sign changes, pivot loops, and all 112 live fields. One extra +binary fractional bit suffices for either word. A factor 64 is a safe +stored-value and unit-ADD temporary bound for either direction. This +local bound is not a guard for the complete recursive supplier. + +## Exact generic division + +The retained fixed-tape model evaluates a complete butterfly layer +exactly before its final truncation. It does not require every local +coefficient to be dyadic. The retained common odd grid already admits +fixed odd division, including arbitrary borrowed input values. + +Let r_5 and r_7 bound additional odd height in every prefix of one +finite parent, after completed children are replaced by their proved +dyadic endpoints. One occurrence of the full E^-1 word adds at most +one to each bound, not eight. A block divides only its own pivot, once. +The other blocks act on disjoint mode coordinates. The final pair +inverse is dyadic. This proves the height statement on arbitrary input. + +If D bounds the number of recursive edges in a live chain, set + +```text +K_5 = r_5 (D+1), K_7 = r_7 (D+1), +S = 5^K_5 7^K_7. +``` + +At the outer entrance, multiply the padded numerator of every physical +numeric record by S. This includes all arbitrary borrowed data, +helpers, and numeric work streams. Do not scale addresses, tags, or +descriptors. Use one common grid 2^-P/S and one common width throughout. +Private zero values stay zero. No local module changes the format. + +Each unfinished node adds at most its local height. A completed +dyadic child adds no odd height. Thus every quotient lies on the +common grid, and every encoded numerator is divisible by the requested +odd divisor. At an outer endpoint proved Gaussian dyadic on all roles, +divide every numeric numerator by S exactly. This restores the old +encoding, including every borrowed role's required endpoint. + +One real fixed-odd multiplication or division costs at most 4(w_g+1) +arithmetic-head steps per record under the retained scan convention. +The concrete carry and head-pass argument is the pinned A8 odd-grid +proof, SHA256 +`e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01`. +For a fixed positive odd divisor d, scan the input bits from low to +high. With input bit b and carry c, division writes + +```text +a = (b-c) mod 2, c' = (c+d*a-b)/2, c starts at 0. +``` + +Each transition preserves 0<=c 0 else -1 + absolute = abs(value) + exponent = 0 + while absolute > 1 and absolute.denominator == 1 and absolute.numerator % 2 == 0: + absolute /= 2 + exponent += 1 + while absolute < 1 and absolute.numerator == 1 and absolute.denominator % 2 == 0: + absolute *= 2 + exponent -= 1 + need(absolute == 1, "Actual scatter coefficient is a signed binary power") + out = [["SCALE2", source, 1 if exponent > 0 else -1]] * abs(exponent) + out += [["ADD", target, source, sign]] + out += [["SCALE2", source, -1 if exponent > 0 else 1]] * abs(exponent) + return out + + +def selected_minor_word(selected): + word = [] + for i in range(0, 16, 2): + x, y = selected[i:i + 2] + word += [["ADD", x, y, 1], ["SCALE2", y, 1], + ["ADD", y, x, -1], ["NEG", y]] + permutation = [0, 12, 1, 14, 5, 11, 3, 9, 7, 15, 2, 4, 10, 13, 6, 8] + current = list(range(16)) + for i, desired in enumerate(permutation): + j = current.index(desired) + if i == j: + continue + x, y = selected[i], selected[j] + word += [["ADD", x, y, 1], ["ADD", y, x, -1], + ["ADD", x, y, 1], ["NEG", y]] + current[i], current[j] = current[j], current[i] + for i in (1, 5, 7, 9, 12, 14, 15, *range(16, 30)): + word.append(["NEG", selected[i]]) + for target, source in ((1, 0), (9, 8), (13, 12)): + word += linear_add(selected[target], selected[source], F(2)) + return word + + +def relabel(word, selected): + result = [] + for gate in word: + copy = gate[:] + copy[1] = selected[copy[1]] + if copy[0] == "ADD": + copy[2] = selected[copy[2]] + result.append(copy) + return result + + +def height(value, p): + denominator, answer = value.denominator, 0 + while denominator % p == 0: + denominator //= p + answer += 1 + return answer + + +def replay(word, initial=None, exact_divisions=False): + state = unit(640) + if initial is not None: + state[:112] = [row.copy() for row in initial] + stored = max(sum(abs(x) for x in row.values()) for row in state) + operand = stored + heights = {p: max(height(x, p) for row in state for x in row.values()) + for p in (2, 3, 5)} + exact_count = Counter() + for gate in word: + kind, target = gate[:2] + need(0 <= target < 112, "Only data fields are written") + if kind == "ADD": + source, sign = gate[2:] + need(0 <= source < 112 and source != target and sign in (-1, 1), + "Unit ADD on data fields") + operand = max(operand, sum(abs(x) for x in state[target].values()) + + sum(abs(x) for x in state[source].values())) + state[target] = add(state[target], state[source], sign) + elif kind == "NEG": + state[target] = {j: -x for j, x in state[target].items()} + else: + need(kind in ("SCALE2", "MULTIPLY_ODD", "DIVIDE_ODD"), "Known scalar gate") + if kind == "SCALE2": + need(gate[2] in (-1, 1), "One-bit binary scale") + factor = F(2) ** gate[2] + else: + factor = F(gate[2]) + need(factor in (3, 5), "Actual odd factor") + if kind == "DIVIDE_ODD": + if exact_divisions: + need(all(x.denominator % gate[2] and x.numerator % gate[2] == 0 + for x in state[target].values()), "Exact valid-code division") + exact_count[str(gate[2])] += 1 + factor = 1 / factor + state[target] = {j: factor * x for j, x in state[target].items()} + stored = max(stored, sum(abs(x) for x in state[target].values())) + for p in heights: + heights[p] = max(heights[p], max((height(x, p) for x in state[target].values()), default=0)) + need(state[112:] == unit(640)[112:], "All 528 other roles remain arbitrary and unchanged") + need(all(j < 112 for row in state[:112] for j in row), "No other baseline enters data") + return state[:112], {"max_stored_row_l1": str(stored), "max_ADD_operand_l1": str(operand), + "denominator_heights": heights, + "checked_exact_complex_divisions": dict(sorted(exact_count.items()))} + + +def invoice(word): + counts = Counter(gate[0] for gate in word) + scans = Counter((gate[0], gate[2]) for gate in word + if gate[0] in ("MULTIPLY_ODD", "DIVIDE_ODD")) + return {"old_real_scalar_units": 8 * counts["ADD"] + 2 * (counts["SCALE2"] + counts["NEG"]), + "gate_counts": dict(sorted(counts.items())), + "real_fixed_odd_scans": {kind + "_" + str(p): 2 * count + for (kind, p), count in sorted(scans.items())}, + "new_owned_fields": 0, "native_children": 0, "maps_inside_common_chart": 0} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + sources, pins = {}, {} + for name, (path, digest) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, "Pinned source " + name) + sources[name] = json.loads(raw) + pins[name] = {"path": str(path), "sha256": digest} + section, response = sources["section"], sources["response"] + selected, ordinary = section["selected_carriers"], section["ordinary_carriers"] + u, v = sparse(response["correction_U"]), sparse(response["correction_V"]) + constants = sources["constants"]["families"]["rank30"]["words"] + word = selected_minor_word(selected) + minor_target = unit(112) + for i, p in enumerate(selected): + minor_target[p] = {selected[j]: x for j, x in sparse(section["minor_inverse"])[i].items()} + need(replay(word)[0] == minor_target, "Literal actual selected minor inverse") + boundaries = {"minor_inverse": len(word)} + for p in ordinary: + for j, value in sorted(u[p].items()): + word += linear_add(p, selected[j], -value) + boundaries["complement"] = len(word) + word += relabel(constants["B0"], selected) + boundaries["B0"] = len(word) + for i, row in enumerate(v): + for p in ordinary: + if p in row: + word += linear_add(selected[i], p, row[p]) + boundaries["capture"] = len(word) + inverse = inverse_word(word) + target = sparse(sources["code"]["capture"]) + inverse_target = sparse(sources["code"]["decode"]) + actual, forward_bounds = replay(word) + need(actual == target, "All 640 capture columns") + actual, inverse_bounds = replay(inverse) + need(actual == inverse_target, "All 640 generic decode columns") + actual, valid_bounds = replay(inverse, target, True) + need(actual == unit(112), "Exact valid-code decode") + need(replay(word, inverse_target)[0] == unit(112), "Other inverse order") + chains = {} + for label in ("G0", "G0_inverse"): + middle = relabel(constants[label], selected) + full = word + middle + inverse + actual, bounds = replay(full, exact_divisions=True) + if label == "G0": + expected = sparse(response["response"]) + else: + h_inverse = unit(112) + for i, p in enumerate(selected): + h_inverse[p] = {selected[j]: x for j, x in sparse(section["H_inverse"])[i].items()} + expected = multiply(inverse_target, multiply(h_inverse, target)) + need(actual == expected, "Complete capture/action/decode chain " + label) + chains[label] = {"invoice": invoice(full), "prefix_bounds": bounds} + payload = {"source_pins": pins, "selected_carriers": selected, "ordinary_carriers": ordinary, + "capture": word, "decode": inverse, "capture_boundaries": boundaries} + raw = (json.dumps(payload, sort_keys=True, indent=2) + "\n").encode() + (args.out / "CAPTURE-WORD.json").write_bytes(raw) + receipt = {"status": "PASS_ACTUAL_UNNORMALISED_CAPTURE_WORD", "source_pins": pins, + "payload_sha256": sha256(raw).hexdigest(), "all_input_columns": 640, + "unchanged_other_roles": 528, + "capture": {"invoice": invoice(word), "prefix_bounds": forward_bounds}, + "generic_decode": {"invoice": invoice(inverse), "prefix_bounds": inverse_bounds}, + "valid_decode": valid_bounds, "complete_scalar_chains": chains, + "scope": "Literal common-chart scalar code only. No physical source views or native controller."} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + print(json.dumps({k: receipt[k] for k in ("capture", "generic_decode", "valid_decode", "complete_scalar_chains")}, + sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py new file mode 100644 index 0000000000..b172a2dc37 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py @@ -0,0 +1,218 @@ +"""Check constant centre codes for both actual response families.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +PINS = { + "rank30": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", + ), + "rank16": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + ), +} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def identity(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def product(a, b): + answer = [[F(0)] * len(b[0]) for _ in a] + for i, row in enumerate(a): + for k, value in enumerate(row): + if value: + answer[i] = [x + value * y for x, y in zip(answer[i], b[k])] + return answer + + +def inverse(a): + n = len(a) + rows = [row[:] + unit for row, unit in zip(a, identity(n))] + for j in range(n): + pivot = next((k for k in range(j, n) if rows[k][j]), None) + need(pivot is not None, "Constant code is a rational unit") + rows[j], rows[pivot] = rows[pivot], rows[j] + value = rows[j][j] + 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])] + return [row[n:] for row in rows] + + +def dense(rows, columns): + return [[F(row.get(str(j), 0)) for j in range(columns)] for row in rows] + + +def invert_word(word): + result = [] + for gate in reversed(word): + kind = gate[0] + if kind == "ADD": + result.append(gate[:3] + [-gate[3]]) + elif kind == "SCALE2": + result.append(gate[:2] + [-gate[2]]) + elif kind in {"MULTIPLY_ODD", "DIVIDE_ODD"}: + result.append(["DIVIDE_ODD" if kind == "MULTIPLY_ODD" else "MULTIPLY_ODD"] + gate[1:]) + else: + need(kind == "NEG", "Invertible constant gate") + result.append(gate[:]) + return result + + +def diagonal_word(target, value): + need(value.denominator == 1 and value, "Nonzero integer diagonal") + value = int(value) + out = [] + positive = abs(value) + while positive % 2 == 0: + out.append(["SCALE2", target, 1]) + positive //= 2 + if positive != 1: + out.append(["MULTIPLY_ODD", target, positive]) + if value < 0: + out.append(["NEG", target]) + return out + + +def apply(rows, gate): + kind, target = gate[:2] + if kind == "ADD": + source, sign = gate[2:] + rows[target] = [x + sign * y for x, y in zip(rows[target], rows[source])] + elif kind == "NEG": + rows[target] = [-x for x in rows[target]] + else: + factor = F(2) ** gate[2] if kind == "SCALE2" else F(gate[2]) + if kind == "DIVIDE_ODD": + factor = 1 / factor + need(kind in {"SCALE2", "MULTIPLY_ODD", "DIVIDE_ODD"}, "Known constant gate") + rows[target] = [factor * x for x in rows[target]] + + +def denominator_height(x, p): + denominator, h = x.denominator, 0 + while denominator % p == 0: + denominator //= p + h += 1 + return h + + +def replay(word, n, initial=None, valid=False): + state = identity(n + 2) + if initial is not None: + state[:n] = [row[:] + [F(0), F(0)] for row in initial] + bound = max(sum(abs(x) for x in row) for row in state) + levels = {p: 0 for p in (2, 3, 5, 7)} + for gate in word: + kind, target = gate[:2] + need(0 <= target < n, "Only centre data are written") + if kind == "ADD": + need(0 <= gate[2] < n and gate[2] != target and gate[3] in (-1, 1), + "Literal unit ADD within the centre") + if kind == "DIVIDE_ODD" and valid: + need(all(x.denominator % gate[2] and x.numerator % gate[2] == 0 + for x in state[target]), "Exact valid-code quotient") + apply(state, gate) + bound = max(bound, sum(abs(x) for x in state[target])) + for p in levels: + levels[p] = max(levels[p], max(denominator_height(x, p) for x in state[target])) + need(state[n:] == identity(n + 2)[n:], "Arbitrary spectators remain identity") + need(all(row[n:] == [0, 0] for row in state[:n]), "No spectator baseline enters a centre") + return [row[:n] for row in state[:n]], {"max_prefix_row_l1": str(bound), "denominator_heights": levels} + + +def invoice(word): + counts = Counter(g[0] for g in word) + scans = Counter((g[0], g[2]) for g in word if g[0] in {"MULTIPLY_ODD", "DIVIDE_ODD"}) + return {"old_real_scalar_units": 8 * counts["ADD"] + 2 * (counts["SCALE2"] + counts["NEG"]), + "gate_counts": dict(sorted(counts.items())), + "real_fixed_odd_scans": {kind + "_" + str(p): 2 * count for (kind, p), count in sorted(scans.items())}, + "native_children": 0, "owned_fields": 0, "maps_inside_common_chart": 0} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + records, pins = {}, {} + for name, (path, digest) in PINS.items(): + raw = path.read_bytes() + if path.suffix == ".gz": + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == digest, "Source pin " + name) + model = json.loads(raw) + model = model.get("model", model) + pins[name] = {"path": str(path), "payload_sha256": digest} + n = len(model["correction_V"]) + u = dense(model["correction_U"], n) + v = dense(model["correction_V"], 112) + b0 = product(v, u) + g0 = [[x + F(i == j) for j, x in enumerate(row)] for i, row in enumerate(b0)] + e = [[x + F(i == j) for j, x in enumerate(row)] for i, row in enumerate(product(u, v))] + need(e == dense(model["response"], 112), "Actual full response is I+UV") + words = {"B0": [], "G0": []} + if n == 30: + for x in range(0, 16, 2): + y = x + 1 + need([[b0[i][j] for j in (x, y)] for i in (x, y)] == [[-4, 1], [2, -2]], + "Actual large B0 block") + words["B0"] += [["ADD", y, x, -1], ["MULTIPLY_ODD", x, 3], + ["ADD", x, y, -1], ["SCALE2", y, 1], ["NEG", x], ["NEG", y]] + words["G0"] += [["SCALE2", x, 1], ["ADD", y, x, -1], ["SCALE2", x, -1], + ["ADD", x, y, -1], ["NEG", x], ["NEG", y]] + first_diagonal = 16 + else: + need(n == 16 and [b0[i][i] for i in range(n)] == [-6] * 8 + [-8] * 8, + "Actual rank-sixteen B0 diagonal") + first_diagonal = 0 + for target in range(first_diagonal, n): + need(all(not b0[target][j] for j in range(n) if j != target), "Separate scalar block") + words["B0"] += diagonal_word(target, b0[target][target]) + words["G0"] += diagonal_word(target, g0[target][target]) + checks = {} + for label, target in (("B0", b0), ("G0", g0)): + inv = inverse(target) + words[label + "_inverse"] = invert_word(words[label]) + for suffix, expected in (("", target), ("_inverse", inv)): + key = label + suffix + actual, bounds = replay(words[key], n) + need(actual == expected, "All exact constant-code columns") + checks[key] = {"invoice": invoice(words[key]), "prefix_bounds": bounds} + need(product(target, inv) == product(inv, target) == identity(n), "Both inverse orders") + actual, bounds = replay(words[label + "_inverse"], n, target, True) + need(actual == identity(n), "Valid-code decode") + checks[label + "_inverse"]["valid_code_bounds"] = bounds + records[name] = {"dimension": n, "B0": [[str(x) for x in row] for row in b0], + "G0": [[str(x) for x in row] for row in g0], "words": words, "checks": checks} + payload = {"source_pins": pins, "families": records} + raw = (json.dumps(payload, sort_keys=True, indent=2) + "\n").encode() + (args.out / "CENTRE-CONSTANTS.json").write_bytes(raw) + receipt = {"status": "PASS_ACTUAL_CENTRE_CONSTANT_CODES", + "payload_sha256": sha256(raw).hexdigest(), "source_pins": pins, + "families": {name: row["checks"] for name, row in records.items()}, + "scope": "Common-chart constant centre operations only. No physical source, views, ownership, or terminal is supplied."} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + print(json.dumps(receipt["families"], sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_clique_codes.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_clique_codes.py new file mode 100644 index 0000000000..dc414dfbeb --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_clique_codes.py @@ -0,0 +1,424 @@ +"""Check the actual clique codes and their exact odd-grid interface.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +ROOT = LANES.parents[2] +PINS = { + "flags": ( + LANES / "independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json", + "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", + ), + "response": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", + ), + "native_extension": ( + LANES / "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b", + ), + "streams": ( + ROOT / "upstream/build/sections/02-streams.tex", + "606c80db61cad13aa0c3b6060dc4b88dbbe7ac60cdd831aa93f28d908fd09dab", + ), + "layers": ( + ROOT / "upstream/build/sections/05-layers.tex", + "20cfc8d12099d4e4ed9e3e7eeb6162edd9b6e0e076f24693364cd24377252594", + ), + "retained_odd_grid": ( + LANES / "interface-proof/rational-decoder/sources/notes/stopped-product-complex.tex", + "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a", + ), + "signed_scan_proof": ( + LANES / "independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md", + "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01", + ), +} +SMALL = [ + [1, 5, 19, 54, 64, 73, 82, 83], + [3, 4, 22, 50, 60, 69, 80, 84], + [6, 35, 38, 39, 40, 77, 85, 86], + [8, 12, 45, 88, 103, 107, 108, 109], + [17, 29, 30, 56, 58, 67, 93, 95], + [18, 32, 34, 49, 65, 68, 98, 101], + [24, 26, 28, 48, 66, 75, 96, 97], + [23, 31, 33, 55, 59, 74, 100, 102], +] + + +def need(value, label): + if not value: + raise ValueError(label) + + +def identity(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def dense(rows): + return [[F(row.get(str(j), 0)) for j in range(len(rows))] for row in rows] + + +def multiply(a, b): + out = [[F(0) for _ in b[0]] for _ in a] + for i, row in enumerate(a): + for k, value in enumerate(row): + if value: + out[i] = [x + value * y for x, y in zip(out[i], b[k])] + return out + + +def height(value, prime): + denominator = value.denominator + answer = 0 + while denominator % prime == 0: + denominator //= prime + answer += 1 + return answer + + +def matrix_height(a, prime): + return max(height(x, prime) for row in a for x in row) + + +def modular_rank(matrix, prime): + rows = [[x.numerator * pow(x.denominator, -1, prime) % prime for x in row] for row in matrix] + rank = 0 + for column in range(len(rows[0])): + pivot = next((i for i in range(rank, len(rows)) if rows[i][column]), None) + if pivot is None: + continue + rows[rank], rows[pivot] = rows[pivot], rows[rank] + scale = pow(rows[rank][column], -1, prime) + rows[rank] = [x * scale % prime for x in rows[rank]] + for i in range(rank + 1, len(rows)): + factor = rows[i][column] + if factor: + rows[i] = [(x - factor * y) % prime for x, y in zip(rows[i], rows[rank])] + rank += 1 + if rank == len(rows): + break + return rank + + +def pair_word(pair, inverse=False): + p, q = pair["ports"] + (a, b), (c, d) = pair["matrix"] + need(a * d == -b * c and {a, b, c, d} <= {-1, 1}, "Signed Hadamard pair") + word = [] + if a == -1: + word.append(["NEG", p]) + if b == -1: + word.append(["NEG", q]) + word.extend([["ADD", p, q, 1], ["NEG", q], ["SCALE2", q, 1], ["ADD", q, p, 1]]) + if c * a == -1: + word.append(["NEG", q]) + if not inverse: + return word + out = [] + for gate in reversed(word): + if gate[0] == "ADD": + out.append(gate[:3] + [-gate[3]]) + elif gate[0] == "SCALE2": + out.append(gate[:2] + [-gate[2]]) + else: + out.append(gate[:]) + return out + + +def block_word(block, inverse): + pivot = block[-1] + rest = block[:-1] + word = [["ADD", p, pivot, -1] for p in rest] + if inverse: + word.extend(["ADD", pivot, p, 1] for p in rest) + word.extend([["DIVIDE_ODD", pivot, len(rest)], ["NEG", pivot]]) + else: + word.extend([["MULTIPLY_ODD", pivot, len(rest)], ["NEG", pivot]]) + word.extend(["ADD", pivot, p, -1] for p in rest) + word.extend(["ADD", p, pivot, 1] for p in rest) + return word + + +def apply_gate(rows, gate): + kind, target = gate[:2] + if kind == "ADD": + source, coefficient = gate[2:] + rows[target] = [x + coefficient * y for x, y in zip(rows[target], rows[source])] + elif kind == "NEG": + rows[target] = [-x for x in rows[target]] + else: + factor = F(2) ** gate[2] if kind == "SCALE2" else F(gate[2]) + if kind == "DIVIDE_ODD": + factor = 1 / factor + need(kind in {"SCALE2", "MULTIPLY_ODD", "DIVIDE_ODD"}, "Known gate") + rows[target] = [factor * x for x in rows[target]] + + +def replay(word, initial): + rows = [row[:] for row in initial] + norm = max(sum(abs(x) for x in row) for row in rows) + levels = {p: matrix_height(rows, p) for p in (2, 5, 7)} + for gate in word: + need(0 <= gate[1] < 112, "Only data fields are changed") + if gate[0] == "ADD": + need(0 <= gate[2] < 112 and gate[1] != gate[2], "Only data sources are read") + apply_gate(rows, gate) + row = rows[gate[1]] + norm = max(norm, sum(abs(x) for x in row)) + for p in levels: + levels[p] = max(levels[p], max(height(x, p) for x in row)) + return rows, {"max_stored_row_l1": str(norm), "max_denominator_heights": levels} + + +def invoice(word): + counts = Counter(g[0] for g in word) + odd = Counter((g[0], g[2]) for g in word if g[0] in {"MULTIPLY_ODD", "DIVIDE_ODD"}) + return { + "old_real_scalar_units": 8 * counts["ADD"] + 2 * (counts["NEG"] + counts["SCALE2"]), + "gate_counts": dict(sorted(counts.items())), + "real_fixed_odd_scans": {f"{kind}_{divisor}": 2 * count for (kind, divisor), count in sorted(odd.items())}, + "native_children": 0, + "owned_fields": 0, + "maps_inside_common_chart": 0, + } + + +def signed_divide(numerator, width, divisor): + raw = numerator % (1 << width) + result = carry = 0 + for bit in range(width): + b = (raw >> bit) & 1 + a = (b - carry) % 2 + result |= a << bit + carry = (carry + divisor * a - b) // 2 + need(0 <= carry < divisor, "Division carry range") + n_sign = int(numerator < 0) + q_sign = (result >> (width - 1)) & 1 + valid = carry == divisor * q_sign - n_sign + quotient = result - q_sign * (1 << width) + return valid, quotient + + +def signed_multiply(numerator, width, multiplier): + raw = numerator % (1 << width) + result = carry = 0 + for bit in range(width): + total = multiplier * ((raw >> bit) & 1) + carry + result |= (total % 2) << bit + carry = total // 2 + need(0 <= carry < multiplier, "Multiplication carry range") + n_sign = int(numerator < 0) + q_sign = (result >> (width - 1)) & 1 + valid = carry == multiplier * n_sign - q_sign + product = result - q_sign * (1 << width) + return valid, product + + +def typed_fixtures(): + n = 16 + codes = [identity(n)] + inverse_codes = [identity(n)] + for inverse in (False, True): + c = identity(n) + for block in (list(range(6)), list(range(6, 14))): + for gate in block_word(block, inverse): + apply_gate(c, gate) + codes.append(c) + inverse_codes += [codes[2], codes[1]] + state = identity(n) + semantic = identity(n) + old_type = 0 + maximum = {5: 0, 7: 0} + for step in range(96): + new_type = step % 3 + a = identity(n) + target, source = step % 14, (step * 5 + 3) % 14 + if target == source: + source = (source + 1) % 14 + a[target][source] = F(-1 if step % 2 else 1, 2) + child = multiply(codes[new_type], multiply(a, inverse_codes[old_type])) + state = multiply(child, state) + semantic = multiply(a, semantic) + need(state == multiply(codes[new_type], semantic), "Matching typed endpoints telescope") + for prime in maximum: + maximum[prime] = max(maximum[prime], matrix_height(state, prime)) + need(maximum[prime] <= 1, "No height per completed sibling") + need(state[14:] == identity(n)[14:], "Arbitrary spectator rows remain fixed") + old_type = new_type + mismatch = identity(n) + for _ in range(8): + mismatch = multiply(codes[2], mismatch) + need(matrix_height(mismatch, 5) == matrix_height(mismatch, 7) == 8, + "Mismatched rational endpoints accumulate height") + return { + "completed_siblings": 96, + "typed_max_odd_heights": maximum, + "mismatched_repeat_count": 8, + "mismatched_odd_heights": {5: 8, 7: 8}, + "arbitrary_spectator_roles": 2, + } + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + sources = {} + source_pins = {} + for label, (path, digest) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, "Source pin " + label) + source_pins[label] = {"path": str(path), "sha256": digest} + if path.suffix == ".json": + sources[label] = json.loads(raw) + elif label == "native_extension": + raw = gzip.decompress(raw) + digest = "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4" + need(sha256(raw).hexdigest() == digest, "Native extension payload pin") + source_pins[label]["payload_sha256"] = digest + sources[label] = json.loads(raw) + flags, response = sources["flags"], sources["response"] + native = sources["native_extension"] + need(native["kind"] == "odd-grid-rank16" + and native["schema"] == "low-displacement-native-extension-v1", "Native extension type") + native_model = native["model"] + large = flags["cyclic_carriers"] + need(len(large) == 8 and all(len(x) == 6 for x in large), "Eight actual six-mode blocks") + signs = {} + for item in response["vertex_assignments"]: + vertex = item["vertex"] + order, diagonal = item["ordered_carriers_a_b_c"], item["signs"] + need(set(order) == set(large[vertex]) and set(diagonal) <= {-1, 1}, "Actual signed mode assignment") + signs.update(zip(order, diagonal)) + need(len(signs) == 48, "Every large mode has one sign") + need(native_model["vertex_assignments"] == response["vertex_assignments"] + and native_model["small_cliques"] == SMALL, "Native extension uses the same signed blocks") + need(sorted(p for row in large + SMALL for p in row) == list(range(112)), "Complete disjoint port partition") + maximal = {tuple(x) for x in response["maximal_small_cliques"]} + need(all(tuple(x) in maximal for x in SMALL), "Every eight-clique is in the pinned certificate") + a = identity(112) + for pair in flags["pair_codes"]: + p, q = pair["ports"] + for row, target in zip(pair["matrix"], (p, q)): + a[target] = [F(0)] * 112 + a[target][p], a[target][q] = map(F, row) + a_inverse = [list(row) for row in zip(*a)] + for p in flags["affected_ports"]: + a_inverse[p] = [x / 2 for x in a_inverse[p]] + need(multiply(a_inverse, a) == identity(112), "Actual pair basis is a dyadic unit") + expected = [] + words = {} + checks = {} + for inverse in (False, True): + name = "inverse" if inverse else "forward" + word = [g for pair in flags["pair_codes"] for g in pair_word(pair)] + word += [["NEG", p] for p in sorted(signs) if signs[p] == -1] + word += [g for block in large + SMALL for g in block_word(block, inverse)] + word += [["NEG", p] for p in sorted(signs) if signs[p] == -1] + word += [g for pair in reversed(flags["pair_codes"]) for g in pair_word(pair, True)] + words[name] = word + mode = identity(112) + for block in large + SMALL: + scale = F(1, len(block) - 1) if inverse else F(1) + for p in block: + for q in block: + mode[p][q] -= scale * signs.get(p, 1) * signs.get(q, 1) + target = multiply(a_inverse, multiply(mode, a)) + native_key = "response_inverse" if inverse else "response" + need(target == dense(native_model[native_key]), "Scalar word matches the frozen native response") + actual, bounds = replay(word, identity(114)) + need([row[:112] for row in actual[:112]] == target, "Actual word has the stated clique endpoint") + need(all(row[112:] == [F(0), F(0)] for row in actual[:112]), "No borrowed baseline leaks") + need(actual[112:] == identity(114)[112:], "Arbitrary owned and borrowed values are unchanged") + levels = bounds["max_denominator_heights"] + need(levels[5] <= int(inverse) and levels[7] <= int(inverse), "One odd level per complete inverse") + expected.append(target) + checks[name] = {"invoice": invoice(word), "prefix_bounds": bounds} + grid = 35 * 2 ** levels[2] + fixed = [[x * grid for x in row] for row in identity(114)] + for gate in word: + if gate[0] == "DIVIDE_ODD": + need(all(x.denominator == 1 and x.numerator % gate[2] == 0 for x in fixed[gate[1]]), + "Exact grid divisibility before every odd scan") + apply_gate(fixed, gate) + need(all(x.denominator == 1 for x in fixed[gate[1]]), "All stored grid numerators stay integral") + need(fixed == [[x * grid for x in row] for row in actual], "Integer-grid replay agrees") + need(multiply(expected[0], expected[1]) == multiply(expected[1], expected[0]) == identity(112), + "Both complete inverse orders") + square = multiply(expected[0], expected[0]) + need([[square[i][j] + 11 * expected[0][i][j] + 23 * F(i == j) for j in range(112)] + for i in range(112)] == [[35 * x for x in row] for row in expected[1]], + "Exact polynomial inverse") + syndrome_checks = {} + for prime, blocks in ((5, large), (7, SMALL)): + syndromes = [[sum(signs.get(p, 1) * a[p][j] for p in block) for j in range(112)] for block in blocks] + need(modular_rank(syndromes, prime) == 8, "Eight independent syndrome rows") + image_rows = multiply(syndromes, expected[0]) + need(all(x.numerator % prime == 0 for row in image_rows for x in row), "Every encoded value has zero syndrome") + need(modular_rank(expected[0], prime) == 104, "Exact image codimension") + syndrome_checks[prime] = {"rank": 8, "image_rank": 104, "rows": [[str(x) for x in row] for row in syndromes]} + valid = identity(114) + valid[:112] = [row + [F(0), F(0)] for row in expected[0]] + valid = [[4 * x for x in row] for row in valid] + for gate in words["inverse"]: + if gate[0] == "DIVIDE_ODD": + need(all(x.denominator == 1 and x.numerator % gate[2] == 0 for x in valid[gate[1]]), + "Valid-code division needs no odd root scale") + apply_gate(valid, gate) + need(all(x.denominator == 1 for x in valid[gate[1]]), "Valid-code prefixes stay on a binary grid") + need(valid == [[4 * x for x in row] for row in identity(114)], "Exact valid-code decode") + division_cases = 0 + for divisor in (5, 7, 35, 2145): + for width in range(2, 13): + for numerator in range(-(1 << (width - 1)), 1 << (width - 1)): + valid, quotient = signed_divide(numerator, width, divisor) + need(valid == (numerator % divisor == 0), "Signed exact-division acceptance") + if valid: + need(quotient * divisor == numerator, "Signed quotient") + valid, product = signed_multiply(numerator, width, divisor) + exact_product = numerator * divisor + need(valid == (-(1 << (width - 1)) <= exact_product < (1 << (width - 1))), + "Signed multiplication overflow test") + if valid: + need(product == exact_product, "Signed product") + division_cases += 1 + for block in (large[0], SMALL[0]): + divisor = len(block) - 1 + inverse_approx = [[F(i == j) - F((256 // divisor), 256) for j in block] for i in block] + forward = [[F(i == j) - 1 for j in block] for i in block] + need(multiply(forward, inverse_approx) != identity(len(block)), "Rounded inverse fails exact restoration") + payload = {"pair_codes": flags["pair_codes"], "six_mode_blocks": large, "mode_signs": signs, + "eight_cliques": SMALL, "words": words} + payload_raw = (json.dumps(payload, sort_keys=True, indent=2) + "\n").encode() + (args.out / "CLIQUE-CODES.json").write_bytes(payload_raw) + receipt = { + "status": "PASS_EXACT_CLIQUE_CODES_AND_TYPED_GRID_FIXTURES", + "source_pins": source_pins, + "payload_sha256": sha256(payload_raw).hexdigest(), + "checks": checks, + "all_data_columns": 112, + "arbitrary_untouched_formal_columns": 2, + "division_cases": division_cases, + "multiplication_cases": division_cases, + "syndrome_checks": syndrome_checks, + "valid_code_odd_root_scale": 1, + "native_response_binding": "Both scalar endpoints equal the pinned native model. Native words and phases are not replayed here.", + "typed_fixtures": typed_fixtures(), + "scope": "Common-frame scalar codes only. Native phase, routed access, complete typed controller and supplier remain unproved.", + } + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + print(json.dumps(checks, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py new file mode 100644 index 0000000000..11df798265 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py @@ -0,0 +1,181 @@ +"""Check the actual dyadic rank-thirty capture and its reduced code tests.""" + +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +PINS = { + "section": (LANES / "coherent-port/section-entry-20261020/SECTION.json", + "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7"), + "response": (LANES / "new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c"), +} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def identity(n): + return [[F(i == j) for j in range(n)] for i in range(n)] + + +def dense(rows, columns): + return [[F(row.get(str(j), 0)) for j in range(columns)] for row in rows] + + +def product(a, b): + out = [[F(0)] * len(b[0]) for _ in a] + for i, row in enumerate(a): + for k, value in enumerate(row): + if value: + out[i] = [x + value * y for x, y in zip(out[i], b[k])] + return out + + +def reduced(a, p): + return [[x.numerator * pow(x.denominator, -1, p) % p for x in row] for row in a] + + +def rank(a, p): + a = reduced(a, p) + k = 0 + for j in range(len(a[0])): + i = next((i for i in range(k, len(a)) if a[i][j]), None) + if i is None: + continue + a[i], a[k] = a[k], a[i] + scale = pow(a[k][j], -1, p) + a[k] = [x * scale % p for x in a[k]] + for i in range(k + 1, len(a)): + scale = a[i][j] + if scale: + a[i] = [(x - scale * y) % p for x, y in zip(a[i], a[k])] + k += 1 + if k == len(a): + break + return k + + +def dyadic(a): + return all(x.denominator & (x.denominator - 1) == 0 for row in a for x in row) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + sources, pins = {}, {} + for name, (path, digest) in PINS.items(): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, "Source pin " + name) + sources[name] = json.loads(raw) + pins[name] = {"path": str(path), "sha256": digest} + s, model = sources["section"], sources["response"] + a, ordinary = s["selected_carriers"], s["ordinary_carriers"] + need(len(a) == 30 and sorted(a + ordinary) == list(range(112)), "Actual complete row partition") + u, v = dense(model["correction_U"], 30), dense(model["correction_V"], 112) + b, bi = dense(s["B0"], 30), dense(s["B0_inverse"], 30) + expected_b = [[F(0)] * 30 for _ in range(30)] + for i in range(0, 16, 2): + expected_b[i][i:i + 2] = [F(-4), F(1)] + expected_b[i + 1][i:i + 2] = [F(2), F(-2)] + for i in range(16, 30): + expected_b[i][i] = F(-3 if i in (25, 26, 27) else -5) + need(b == expected_b, "Complete square-free odd Smith blocks") + ua, uai = [u[p] for p in a], dense(s["minor_inverse"], 30) + e = dense(model["response"], 112) + need(product(v, u) == b and product(ua, uai) == product(uai, ua) == identity(30), "Actual factors and minor") + need(dyadic(u) and dyadic(v) and dyadic(uai), "Actual dyadic input maps") + capture = dense(s["C0"], 112) + for i, p in enumerate(a): + capture[p] = v[i][:] + normalised = dense(s["C0"], 112) + scale = identity(112) + for i, p in enumerate(a): + scale[p] = [F(0)] * 112 + for j, q in enumerate(a): + scale[p][q] = b[i][j] + need(capture == product(scale, normalised), "Unnormalised capture identity") + need(dyadic(capture), "Every capture coefficient is dyadic") + pre = [[F(0)] * 112 for _ in range(30)] + for i, p in enumerate(a): + pre[i][p] = 1 + for q in ordinary: + pre[i][q] = -v[i][q] + pivot = product(bi, pre) + decode = product(u, pivot) + for p in ordinary: + decode[p][p] += 1 + need(product(capture, decode) == product(decode, capture) == identity(112), "Both full code inverse orders") + original_pivot = product(uai, [[F(q == p) for q in range(112)] for p in a]) + need(product(pre, capture) == product(b, original_pivot), "Valid decoder receives a B0-code") + h = dense(s["encoded_response"], 112) + need(product(capture, product(e, decode)) == h, "Unchanged centre action") + hi = identity(112) + gi = dense(s["H_inverse"], 30) + for i, p in enumerate(a): + hi[p] = [F(0)] * 112 + for j, q in enumerate(a): + hi[p][q] = gi[i][j] + need(dyadic(h) and dyadic(hi) and product(h, hi) == product(hi, h) == identity(112), + "Centre action and inverse are dyadic") + ei = [[F(i == j) - x for j, x in enumerate(row)] for i, row in enumerate(product(u, product(gi, v)))] + need(dyadic(ei) and product(e, ei) == product(ei, e) == identity(112), "Actual response inverse is dyadic") + need(product(hi, capture) == product(capture, ei), "Inverse centre action preserves the actual code") + checks = {} + for p in (3, 5): + left = [] + if p == 3: + for i in range(0, 16, 2): + row = [F(0)] * 30 + row[i], row[i + 1] = 1, -1 + left.append(row) + for i in range(16, 30): + if b[i][i].numerator % p == 0: + row = [F(0)] * 30 + row[i] = 1 + left.append(row) + need(len(left) == 11 and rank(left, p) == 11, "Eleven independent centre syndromes") + need(not any(x for row in reduced(product(left, b), p) for x in row), "Left nullspace of B0") + syndromes = product(left, pre) + need(rank(syndromes, p) == 11 and rank(capture, p) == 101, "Actual code image codimension") + need(not any(x for row in reduced(product(syndromes, capture), p) for x in row), "Code has zero syndrome") + need(reduced(product(syndromes, h), p) == reduced(syndromes, p) + and reduced(product(syndromes, hi), p) == reduced(syndromes, p), + "Both centre actions are identity on the code quotient") + checks[str(p)] = {"syndrome_rank": 11, "capture_rank": 101, + "rows": [[str(x) for x in row] for row in syndromes]} + bad_middle = identity(112) + bad_middle[a[0]][a[0]] = 2 + l3 = [[F(x) for x in row] for row in checks["3"]["rows"]] + bad = reduced(product(l3, product(bad_middle, capture)), 3) + witness = next(((i, j, x) for i, row in enumerate(bad) + for j, x in enumerate(row) if x), None) + need(witness is not None, "A dyadic unit need not preserve the code") + payload = {"source_pins": pins, "selected_carriers": a, "ordinary_carriers": ordinary, + "capture": [[str(x) for x in row] for row in capture], + "decode": [[str(x) for x in row] for row in decode], + "syndromes": checks, + "nonpreserving_dyadic_unit": {"scaled_physical_port": a[0], + "scale": 2, "modulus": 3, + "syndrome_row_input_column_value": witness}} + raw = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + (args.out / "UNNORMALISED-CODE.json").write_bytes(raw) + receipt = {"status": "PASS_ACTUAL_UNNORMALISED_RANK30_CODE", "source_pins": pins, + "payload_sha256": sha256(raw).hexdigest(), "all_data_columns": 112, + "forward_is_dyadic": True, "centre_action_and_inverse_are_dyadic": True, + "valid_decode_input_is_B0_code": True, "syndrome_ranks": {"3": 11, "5": 11}, + "scope": "Exact code algebra and divisibility interface. No elementary capture invoice or physical native caller."} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, sort_keys=True, indent=2) + "\n") + print(receipt["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json new file mode 100644 index 0000000000..f3e152474a --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json @@ -0,0 +1,23 @@ +{ + "all_data_columns": 112, + "centre_action_and_inverse_are_dyadic": true, + "forward_is_dyadic": true, + "payload_sha256": "8dd0706ad41a843c9e74346b181389712a81ba6f354fdd019688e2d6b094908e", + "scope": "Exact code algebra and divisibility interface. No elementary capture invoice or physical native caller.", + "source_pins": { + "response": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "section": { + "path": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json", + "sha256": "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7" + } + }, + "status": "PASS_ACTUAL_UNNORMALISED_RANK30_CODE", + "syndrome_ranks": { + "3": 11, + "5": 11 + }, + "valid_decode_input_is_B0_code": true +} diff --git a/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json new file mode 100644 index 0000000000..08b94999b7 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/UNNORMALISED-CODE.json @@ -0,0 +1 @@ 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b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/CARRIER-PREFIX.md @@ -0,0 +1,40 @@ +# The complete carrier prefix + +This packet stops the independently reviewed local reuse word before its +selected query. It supplies a concrete native prefix for a separate +routed reader query. + +The input is \(X=Qx\), \(Y_U=y_U\), and \(Y_P=Q_Pz\), with arbitrary +independent records \(z\). The output is + +\[ +X'=F_9x,\qquad +Y'_U=F_9q_U(y+Ex)_U,\qquad +Y'_P=F_9z. +\] + +All 416 auxiliary fields are unchanged. The word has 2406 events: +2390 retained-core events followed by sixteen line-to-FULL native +calls. It has no selected query. Both providers pass all 640 independent +columns and every exact read, write, and native frame check. + +The profile is \(1392H_1+64H_2+48H_3+16H_8\), with native mass 1792, +1520 children, and 6456 scalar primitives. There are 128 input views, +96 ordinary output views, and a native side-map upper bound of 3040. +The content prefix row one-norm is 22; its additional binary denominator +height is one. There is no extra owned or private field. + +Every physical recipe and adapter is copied from the pinned line-entry +reuse packet, whose independent review is also pinned. The two output +directories have byte-identical payloads and receipts under normal and +optimized Python. + +This packet supplies only the native prefix. The global dispatcher, +past-reader query, and their full invoices are separate. It does not +replace a past reader with the current reader. + +Run `emit_prefix.py --out ` with normal Python or +optimized Python. The emitter rejects an existing output directory. + +AI agents prepared this extension of the reviewed productive row-capture +and line-entry reuse constructions. diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json new file mode 100644 index 0000000000..bc2670414d --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/PREFIX-FREEZE.json @@ -0,0 +1,12 @@ +{ + "files": { + "CARRIER-PREFIX.md": "2ef1ff2371a01289310137570b0ce03b2739c85e74c1e7ba94ea434eedcff1b4", + "emit_prefix.py": "657afc180b397e851fbefa16f56ace98129072a6bd2faf5d84dbc2391720698e", + "prefix-normal/CARRIER-PREFIX.json.gz": "42b7d01235d86252c52d979bbc8dd8978cd08f57ef0f968124cbf18c7cb1a70c", + "prefix-normal/CHECKS.json": "82c8bb1dd1bc0c05d37cffe30697f7762627526ea012855f35d4b72ae537583d", + "prefix-optimized/CARRIER-PREFIX.json.gz": "42b7d01235d86252c52d979bbc8dd8978cd08f57ef0f968124cbf18c7cb1a70c", + "prefix-optimized/CHECKS.json": "82c8bb1dd1bc0c05d37cffe30697f7762627526ea012855f35d4b72ae537583d" + }, + "normal_optimized_byte_identical": true, + "scope": "Exact carrier-only prefix. Global dispatcher and routed query are separate." +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json new file mode 100644 index 0000000000..006f55295f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/QUERY-FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "ROUTED-QUERY.md": "2ee46160065120ca90477ebabebd833c8e0dc4678544fb33c267193cada5e7cd", + "emit_routed_query.py": "78d505f55b4646fff0d1c40b53ad11327874bee6ebd074013c4288197f3fe900", + "query-normal/CHECKS.json": "55cb6d50b4a219ba3cea2ee59a3b15b03afa3c3c749dd13a72ee6148414845a2", + "query-normal/ROUTED-QUERY.json.gz": "b6a1031861db0b2293880af7c01919c5c628a8c23e7a293f73976a82e25011ac", + "query-optimized/CHECKS.json": "55cb6d50b4a219ba3cea2ee59a3b15b03afa3c3c749dd13a72ee6148414845a2", + "query-optimized/ROUTED-QUERY.json.gz": "b6a1031861db0b2293880af7c01919c5c628a8c23e7a293f73976a82e25011ac" + }, + "normal_optimized_byte_identical": true, + "payload_decompressed_sha256": "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a", + "scope": "Literal global FULL reader query and exact native carrier prefix. Actual D25 dispatcher, recursive hosting and complete supplier are separate.", + "status": "FROZEN_PRODUCER_PASS_INDEPENDENT_REVIEW_PENDING" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/ROUTED-QUERY.md b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/ROUTED-QUERY.md new file mode 100644 index 0000000000..72d7769e03 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/ROUTED-QUERY.md @@ -0,0 +1,152 @@ +# A literal query for a centre reader retained from an earlier stage + +This packet expands the bridge worker's fixed-reader construction into +literal scalar and field-map instructions. It checks their composition +with the complete native carrier prefix. It covers the actual D25 stage +pairs \((s,t)=(0,1),(0,2),(1,2)\). + +The local carrier prefix and the query use different charts. The prefix +has the exact local native charts. The query starts after the dispatcher +has placed all X fields and the sixteen selected Y fields in the global +FULL chart at level \(t\). The dispatcher is a separate binding. This +packet does not assume that those charts are identical. + +## Required update + +Let \(P\) be the sixteen selected ports. Let \(J\) insert values at \(P\). +The normalized reader and its unit row code at stage \(s\) are + +\[ +L_s=J^T+B_s,\qquad B_sJ=0,\qquad C_s=I+JB_s. +\] + +All symbols include their actual ordered owner routes. The native +response at stage \(t\) is \(E_t\). The query must add +\(L_sE_tx\) to the selected record. It must restore every X field. + +The native prefix accepts arbitrary independent selected records \(z\). +Before the query its contents are + +\[ +X=x,\qquad Y_P=z,\qquad Y_U=y_U+(E_tx)_U, +\] + +with the prefix's stated physical output frames. After the query the +selected content is \(z+L_sE_tx\). If \(z=L_sy\), it is exactly +\(L_s(y+E_tx)\). The ordinary output content is already correct and is +not accessed by the query. + +## Literal query order + +The source theorem gives + +\[ +L_sE_tC_t^{-1} +=B_s-B_t+(L_sE_tJ)J^T. +\] + +The emitted word executes: + +1. Add \(B_sX_U\) to \(Y_P\), through the actual past-stage FULL views. +2. Add \(X_P\) to \(Y_P\). +3. Apply \(C_t\) to X, through the current-stage FULL views. +4. Subtract the current \(X_P\) from \(Y_P\). +5. Add \((L_sE_tJ)X_P\) to \(Y_P\). +6. Apply \(C_t^{-1}\) to X through the same current-stage views. + +Steps 2 and 4 account for \(-B_tX_U\). The X fields in step 5 contain +the current reader \(L_tX\). Step 6 restores the original source bank. +No inverse of \(E_t\) and no odd division is used. + +Every view is an explicit `map` event. Both the entry map and its inverse +are present. For each term in step 5, the word maps the selected X +source, adds its scalar multiple to the selected Y target, and restores +the X source with the exact inverse map. A scale of a target is also +explicit. No target baseline is assumed to be zero. + +## Exact owner paths and phases + +The verifier represents a coefficient by a pair consisting of its input +field and a 25-dimensional orthogonal owner matrix. It multiplies the +matrices in chronological operator order. Terms can cancel only when +their complete ordered matrices agree. It does not identify the +responses at stages \(s\) and \(t\). + +For each map with matrix \(R\), the packet records a translation +\(\delta_R\), the inverse matrix, and the inverse translation. It +checks orthogonality, both matrix inverse orders, and that every +uncompleted axis is fixed. It verifies the complete Z4 phase identity + +\[ +F_{9+8t}P_RF_{9+8t}^{-1}=X_{\delta_R}P_R. +\] + +This is a polynomial identity, including its quadratic and linear +parts. It holds on the complete spatial domain; it is not a sample of +spatial points. The phase checker is the pinned source implementation. +An independent review of this integration must still check that +dependency and the actual dispatcher. + +The actual payload contains 545 distinct FULL maps for each pair with +reader stage zero, and 1616 for pair \((1,2)\). These counts include +distinct inverse and view maps where required. The instruction count +remains 2064 map calls in every pair. + +## Verification and price + +Both native providers are replayed on all 640 independent local input +columns before the query. The global query is then replayed on all +640 independent formal fields. The result matches the direct expression +\(L_sE_t\), with all 3808 owner-path terms. All 112 X fields are restored. +The 96 ordinary Y fields and all 416 helpers are unchanged by the query. + +The serialized payload is read and checked again. Controls that omit +one middle source view or the final source-code restoration fail. +Normal and optimized Python give byte-identical outputs. + +| Part | Scalar primitives | Explicit map calls | +| --- | ---: | ---: | +| Past-reader complement query | 1760 | 224 | +| Two selected-field copies | 256 | 0 | +| Current source code and its inverse | 3520 | 448 | +| Middle selected-source query | 5632 | 1392 | +| Query total | 11168 | 2064 | + +Adding the native prefix gives 17624 scalar primitives and native +profile + +\[ +1392H_1+64H_2+48H_3+16H_8, +\] + +with mass 1792. The query maps are additional to the prefix's 128 input +views, 96 output views, and native side-map upper bound 3040. The actual +global dispatcher must also be charged. There are no extra owned or +private fields and no new native child in the query. + +The exact formal coefficient sweep gives prefix row one-norm 448 and +binary denominator height two for every pair. This is an upper bound +for the actual register norm. Distinct formal owner paths may have +further dependencies in their action on arrays, so it is not a claim +that the induced spatial operator norm is exactly 448. These bounds +apply to the stated independent inputs at the query entrance. A +recursive precision certificate must also account for how those inputs +were formed and for each child implementation. + +Reproduce into new directories: + +```sh +python3 emit_routed_query.py --out replay-normal +python3 -O emit_routed_query.py --out replay-optimized +``` + +The result is a concrete query implementation and a checked native +prefix, with the exact intended splice stated. A complete D25 service +requires the separately pinned dispatcher that proves that splice. +Recursive hosting and the complete supplier remain open. The local +same-reader price 9880 is not the price of this past-reader service. + +This packet implements the fixed-reader theorem and source-view records +from the bridge-access lane. It uses the reviewed productive row-capture +and line-entry native family. AI agents prepared the code, proof, and +checks. diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICE-FREEZE.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICE-FREEZE.json new file mode 100644 index 0000000000..886dfd1aca --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICE-FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "SERVICES.md": "f7038b6f8d507d741e01102589ca8d4341544c6abd47200510d53696fec4752a", + "emit_service.py": "03ae362f0ff697fe13718f2f0516bb09f640ad743fdf943038975aee9a0d35fd", + "service-normal/CHECKS.json": "82091780784cdf9ae9f388f2fa353bd64214d93e7517595890e7a22b18817eb5", + "service-normal/FIXED-READER-SERVICES.json.gz": "89a0e1d9621b58e54c8d51ea40b7404220dc0156fd4966e99b6f8664ab350ebe", + "service-optimized/CHECKS.json": "82091780784cdf9ae9f388f2fa353bd64214d93e7517595890e7a22b18817eb5", + "service-optimized/FIXED-READER-SERVICES.json.gz": "89a0e1d9621b58e54c8d51ea40b7404220dc0156fd4966e99b6f8664ab350ebe" + }, + "normal_optimized_byte_identical": true, + "payload_decompressed_sha256": "88d25925705e6657656afb727430ce0d541c5e657426166363694d8b66180d13", + "scope": "Six exact data services on the regular D25 cover under the inherited416-helper host contract. Recursive hosting and complete supplier cost remain separate.", + "status": "FROZEN_PRODUCER_PASS_INDEPENDENT_REVIEW_PENDING" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICES.md b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICES.md new file mode 100644 index 0000000000..bb6a258dbd --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/SERVICES.md @@ -0,0 +1,117 @@ +# Six complete data services that retain a past centre reader + +This packet joins the exact native carrier prefix, the actual D25 DATA +dispatcher, and the literal global FULL query. It gives both native +providers for each pair \((s,t)=(0,1),(0,2),(1,2)\). It uses the inherited +416-field helper host contract. It does not construct or price that host. + +Let \(F_\ell\) act on the first \(9+8\ell\) coordinates. Let \(P\) be the +sixteen fixed pivots and \(U\) their complement. Define +\(G=\operatorname{diag}(I_P,q_U)\). The complete data interface is + +\[ +(F_{t-1}x,\ F_{t-1}Gw) +\longmapsto +(F_tx,\ F_tG(w+A_{s,t}x)), +\] + +where + +\[ +(A_{s,t})_P=L_sE_t,\qquad (A_{s,t})_U=(E_t)_U. +\] + +The contents of w, including all selected records, are independent and +arbitrary. If \(w=C_sy\), then the selected output is +\(L_s(y+E_tx)\), while the ordinary output is \((y+E_tx)_U\). +Thus the service carries and updates the same reader from stage s. +It does not replace it by the current reader. + +The physical input level is \(t-1\). In particular, pair \((0,2)\) +requires a stage-zero reader that has already reached physical level +one. It is not a direct jump from physical level zero to level two. + +## Exact schedule and binding + +The bundled service executes these blocks in order: + +1. Apply the 224 current DATA entry views. +2. Apply the 128 local native input adapters. +3. Execute all 2406 native-prefix events over the complete cover. +4. Apply the 96 ordinary target output adapters. +5. Apply the 224 current DATA exit views. +6. Complete the cover barrier. +7. Execute the literal past-reader query at global FULL. + +The selected target entry is an intrinsic positive line. The native +prefix carries it to FULL with an H8 child. Its ordinary targets retain +their hole paths. After the DATA exits, all source X fields and selected +Y fields are in global FULL. The late query can then read them through +the pinned past/current source maps. It does not read an ordinary Y +field. + +`emit_service.py` checks all 896 DATA entry and exit phase equations for +the two service stages, including the common exterior, translation +order, intrinsic lines, and final hole or FULL type. It checks that the +current query views equal the actual DATA exit views. It then replays +all six complete content maps using those DATA route matrices. + +The native programs and every literal query instruction are included in +one payload. The dispatcher, prefix, and query source pins remain in the +payload. The local native phase proofs are inherited by exact byte +identity from the independent line-entry review. + +For each field the owner route is an orthogonal bijection on the regular +\(O(25,2)\) cover. Complete body calls restore their arbitrary helpers +before those helpers are reused. The complete cover sweep is required +before the query. The data route argument does not prove a new helper +allocation or recursive child host. + +## Complete service invoice + +Every service has native profile + +\[ +1392H_1+64H_2+48H_3+16H_8, +\] + +with mass 1792 and 1520 children. Its scalar cost is +\(6456+11168=17624\). The explicit monomial call bound is: + +| Part | Calls | +| --- | ---: | +| DATA entry and exit | 448 | +| Local endpoint adapters | 224 | +| Native side-map upper bound | 3040 | +| Past-reader query | 2064 | +| Total | 5776 | + +The bound includes identity maps where the fixed instruction stock +retains them. No extra owned or private field is used. There is no odd +division. A map call still needs its finite implementation cost in a +complete supplier. + +All 640 independent fields pass the local and ordered-owner content +replays. Every source and all 416 helpers are restored as specified. +The query formal coefficient bound is 448 with binary height two. +The native-prefix bound is 22 with binary height one. These bounds do +not replace the recursive precision proof. + +Normal and optimized Python produce byte-identical service payloads and +receipts. Reproduce into new directories: + +```sh +python3 emit_service.py --out replay-normal +python3 -O emit_service.py --out replay-optimized +``` + +The result closes the data-chart splice for this forward reuse family. +The inherited helper host, recursive parking, finite map costs, an +outer caller, and the complete supplier invoice remain explicit +obligations. No complete kappa improvement is claimed. + +This result combines the bridge-access dispatcher and fixed-reader +theorem with the native carrier and literal query from this lane. +The controller supplied the normalized row code. AI agents prepared +the proof, implementation, and checks. Independent joined-service +review is recorded separately. diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_prefix.py b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_prefix.py new file mode 100644 index 0000000000..0a3f7ddbc0 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_prefix.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python3 +"""Emit the checked native prefix before a routed reader query.""" + +import argparse +from copy import deepcopy +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path +import sys + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE.parent / "row-only-capture-20261020" +LANES = HERE.parents[2] +PINS = { + "reuse": (SOURCE / "reuse-normal/LINE-ENTRY-REUSE.json.gz", + "efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110"), + "checker": (SOURCE / "emit_capture.py", + "1557c9f38b1d89f6d38e920d8db604607519a99cf37366b4c15414aed489cf1f"), + "review": (LANES / "new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json", + "cc5ed3b0ecc6eb5cec48f8baead43ec813042c3e83cd68104b7745366c13c55c"), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def read(name): + path, pin = PINS[name] + raw = path.read_bytes() + if path.suffix == ".gz": + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Pinned source " + name) + return raw + + +read("checker") +spec = importlib.util.spec_from_file_location("reuse_prefix_base", PINS["checker"][0]) +base = importlib.util.module_from_spec(spec) +sys.modules[spec.name] = base +spec.loader.exec_module(base) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + source = json.loads(read("reuse")) + read("review") + response = base.n.rows(source["response"]) + selected = set(source["selected_ports"]) + providers, reports = {}, {} + for provider, original in source["providers"].items(): + word = deepcopy(original) + end = original["stage_ranges"]["late_query"][0] + word["events"] = word["events"][:end] + del word["stage_ranges"]["late_query"] + report = base.verify(word, base.n.r.identity(112), response, + [{} for _ in range(112)], selected) + need(report["real_scalar_primitives"] == 6456 and report["native_mass"] == 1792, + "The complete carrier-only invoice") + need(end == 2406 and len(word["events"]) == end, "The exact complete prefix cut") + providers[provider], reports[provider] = word, report + payload = { + "schema": "sixteen-record-carrier-prefix-v1", + "source_pins": {key: {"path": str(path), "sha256": pin} + for key, (path, pin) in PINS.items()}, + "ports": source["ports"], "selected_ports": source["selected_ports"], + "ordinary_ports": source["ordinary_ports"], "response": source["response"], + "providers": providers, + "physical_contract": { + "input": "X=Qx; Y_U=y_U; Y_P=Q_P z, with arbitrary independent z.", + "output": "Xout=F9x; Yout_U=F9q_U(y+Ex)_U; Yout_P=F9z.", + "scope": "The complete native prefix ends before any selected reader query.", + }, + } + raw = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + for provider, word in json.loads(raw)["providers"].items(): + need(base.verify(word, base.n.r.identity(112), response, + [{} for _ in range(112)], selected) == reports[provider], + "The serialized prefix passes") + (args.out / "CARRIER-PREFIX.json.gz").write_bytes(gzip.compress(raw, mtime=0)) + receipt = {"status": "PASS_EXACT_CARRIER_ONLY_PREFIX", + "producer_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "payload_decompressed_sha256": sha256(raw).hexdigest(), + "reports": reports} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_routed_query.py b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_routed_query.py new file mode 100644 index 0000000000..ca0e863c35 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_routed_query.py @@ -0,0 +1,330 @@ +#!/usr/bin/env python3 +"""Emit and replay the complete old-reader query after the native prefix.""" + +import argparse +from collections import defaultdict +from fractions import Fraction as F +from functools import cache +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path +import sys + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[2] +UNIT = tuple(1 << j for j in range(25)) +PINS = { + "prefix": (HERE / "prefix-normal/CARRIER-PREFIX.json.gz", + "54c561cfc49ad3fe1258ba5a8760eeadaa11784272cf458e2a6e54403a0e655e"), + "prefix_checker": (HERE / "emit_prefix.py", + "657afc180b397e851fbefa16f56ace98129072a6bd2faf5d84dbc2391720698e"), + "query": (LANES / "bridge-access-20261017/row-capture-access-20261020/reuse-normal/REUSE-PROGRAM.json", + "eead344f9a3f642056fd29b05a7e24d1a5d3504eec005eedc83e26b7fed8b82b"), + "capture": (LANES / "controller-followthrough-20261017/row-capture-20261020/run-normal/ROW-CAPTURE.json", + "4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7"), + "phase": (LANES / "bridge-access-20261017/check_bridge_access.py", + "9510c5624dfb51d98767728084851e4ee75a135e6d7b546569a47fe458485111"), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def read(name): + path, pin = PINS[name] + raw = path.read_bytes() + if path.suffix == ".gz": + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Pinned source " + name) + return raw + + +def module(name): + read(name) + spec = importlib.util.spec_from_file_location("routed_query_" + name, PINS[name][0]) + result = importlib.util.module_from_spec(spec) + sys.modules[spec.name] = result + spec.loader.exec_module(result) + return result + + +prefix_checker = module("prefix_checker") +base = prefix_checker.base +phase = module("phase") + + +def act(columns, value): + result = 0 + while value: + bit = value & -value + result ^= columns[bit.bit_length() - 1] + value ^= bit + return result + + +@cache +def compose(left, right): + return tuple(act(left, value) for value in right) + + +def transpose(columns): + return tuple(sum(((columns[j] >> i) & 1) << j for j in range(25)) + for i in range(25)) + + +def add(target, source, coefficient=F(1)): + for key, value in source.items(): + target[key] = target.get(key, F(0)) + coefficient * value + if not target[key]: + del target[key] + + +def product(left, right): + result = [] + for row in left: + out = {} + for (j, a), coefficient in row.items(): + for (k, b), value in right[j].items(): + add(out, {(k, compose(a, b)): coefficient * value}) + result.append(out) + return result + + +def routed(rows, ports, views): + rho = {view["port"]: tuple(view["route_columns"]) for view in views} + return [{(j, compose(rho[p], rho[j])): value for j, value in row.items()} + for p, row in zip(ports, rows)] + + +def initial_prefix(response, selected): + state = [{(i, UNIT): F(1)} for i in range(640)] + for p in range(112): + if p not in selected: + add(state[112 + p], response[p]) + return state + + +def replay(events, maps, initial, selected): + state = [dict(row) for row in initial] + scalar_cost = 0 + map_cost = 0 + maximum = max(sum(abs(value) for value in row.values()) for row in state) + height = 0 + for event in events: + if event[0] == "map": + _, field, index = event + need(field < 112 or field - 112 in selected, "A query map uses only FULL fields") + route = tuple(maps[index]["columns"]) + state[field] = {(i, compose(route, a)): value + for (i, a), value in state[field].items()} + map_cost += 1 + else: + need(event[0] == "scalar", "The literal query event grammar") + _, op, target, source, raw = event + value = F(raw) + need(target < 112 or target - 112 in selected, "A scalar target is FULL") + if op == "add": + need(source < 112 or source - 112 in selected, "A scalar source is FULL") + need(target != source, "Distinct source and target arrays") + add(state[target], state[source], value) + else: + need(op == "scale", "Only ADD and SCALE instructions") + state[target] = {key: value * other for key, other in state[target].items()} + scalar_cost += base.n.r.price([[op, target, source, raw]]) + maximum = max(maximum, sum(abs(other) for other in state[target].values())) + for other in state[target].values(): + d = other.denominator + need(d & (d - 1) == 0, "Every query coefficient is dyadic") + height = max(height, d.bit_length() - 1) + return state, {"scalar_primitives": scalar_cost, "monomial_maps": map_cost, + "exact_prefix_content_one_norm": str(maximum), + "additional_binary_height": height} + + +def make_query(pair, capture, pivots): + maps, indices, events, stages = [], {}, [], {} + full = phase.product([(v, 1) for v in UNIT[:9 + 8 * pair["service_stage"]]]) + + def register(columns, translation): + columns = tuple(columns) + key = columns, translation + if key in indices: + return indices[key] + inverse = transpose(columns) + need(compose(columns, inverse) == compose(inverse, columns) == UNIT, + "Each actual query route is orthogonal") + need(columns[9 + 8 * pair["service_stage"]:] == UNIT[9 + 8 * pair["service_stage"]:], + "Each query route fixes the uncompleted axes") + transformed = phase.product([(act(columns, v), 1) + for v in UNIT[:9 + 8 * pair["service_stage"]]]) + need(phase.add_phase(transformed, phase.line(translation, 2)) == full, + "The complete Z4 phase of each FULL view") + indices[key] = len(maps) + maps.append({"columns": columns, "translation": translation, + "inverse_columns": inverse, "inverse_translation": act(inverse, translation)}) + return indices[key] + + def view(field, record, inverse=False): + route = tuple(record["route_columns"]) + delta = record["translation"] + if inverse: + route = transpose(route) + delta = act(route, delta) + events.append(["map", field, register(route, delta)]) + + def begin(): + return len(events) + + def end(name, start): + stages[name] = [start, len(events)] + + old = {view["port"]: view for view in pair["old_reader_views"]} + current = {view["port"]: view for view in pair["current_code_views"]} + ordinary = sorted(set(range(112)) - set(pivots)) + old_fields = [(p, p) for p in ordinary] + [(112 + p, p) for p in pivots] + start = begin() + for field, p in old_fields: + view(field, old[p]) + for op, p, r, coefficient in capture["scalar_word"]: + events.append(["scalar", op, 112 + p, r, coefficient]) + for field, p in reversed(old_fields): + view(field, old[p], True) + end("old_reader_complement", start) + start = begin() + for p in pivots: + events.append(["scalar", "add", 112 + p, p, "1"]) + end("first_selected_copy", start) + + def code_stage(name, word): + start = begin() + for p in range(112): + view(p, current[p]) + for op, p, r, coefficient in word: + events.append(["scalar", op, p, r, coefficient]) + for p in reversed(range(112)): + view(p, current[p], True) + end(name, start) + + code_stage("current_code", capture["scalar_word"]) + start = begin() + for p in pivots: + events.append(["scalar", "add", 112 + p, p, "-1"]) + end("second_selected_copy", start) + start = begin() + for op, p, r, coefficient, route_index in pair["middle_query"]: + if op == "scale": + events.append(["scalar", "scale", 112 + p, None, coefficient]) + else: + need(op == "mapped_add_restore", "The pinned middle-query grammar") + record = pair["middle_routes"][route_index] + forward = register(record["columns"], record["FULL_translation"]) + backward = register(record["inverse_columns"], record["inverse_FULL_translation"]) + need(tuple(maps[forward]["inverse_columns"]) == tuple(maps[backward]["columns"]) + and maps[forward]["inverse_translation"] == maps[backward]["translation"], + "The literal source restoration map") + events.append(["map", r, forward]) + events.append(["scalar", "add", 112 + p, r, coefficient]) + events.append(["map", r, backward]) + end("middle_query", start) + code_stage("current_inverse_code", capture["inverse_scalar_word"]) + return events, maps, stages + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + prefix = json.loads(read("prefix")) + query = json.loads(read("query")) + capture = json.loads(read("capture")) + pivots = query["pivots"] + selected = set(pivots) + need(pivots == prefix["selected_ports"] == capture["pivots"], "One actual pivot set") + response = base.n.rows(prefix["response"]) + reader = base.n.rows(capture["centre_reader"]) + prefix_reports = {} + for provider, word in prefix["providers"].items(): + prefix_reports[provider] = base.verify( + word, base.n.r.identity(112), response, [{} for _ in range(112)], selected) + reports, words = {}, {} + for pair in query["pairs"]: + key = str(pair["reader_stage"]) + ":" + str(pair["service_stage"]) + et = routed(response, range(112), pair["current_code_views"]) + ls = routed(reader, pivots, pair["old_reader_views"]) + direct = product(ls, et) + need(sum(map(len, direct)) == 3808, "Every direct old-reader owner path") + initial = initial_prefix(et, selected) + expected = [dict(row) for row in initial] + for p, row in zip(pivots, direct): + add(expected[112 + p], row) + events, maps, stages = make_query(pair, capture, pivots) + actual, report = replay(events, maps, initial, selected) + need(actual == expected, "All640 complete arbitrary fields with exact ordered owner paths") + need(actual[:112] == initial[:112] and actual[224:] == initial[224:], + "Every source and arbitrary helper is restored") + need(report["scalar_primitives"] == 11168 and report["monomial_maps"] == 2064, + "The complete literal routed-query invoice") + query_initial = [{(i, UNIT): F(1)} for i in range(640)] + query_expected = [dict(row) for row in query_initial] + for p, row in zip(pivots, direct): + add(query_expected[112 + p], row) + query_actual, query_bound = replay(events, maps, query_initial, selected) + need(query_actual == query_expected, "The query is valid on every independent FULL input") + negative_index = next(i for i in range(*stages["middle_query"]) if events[i][0] == "map") + bad = events[:negative_index] + events[negative_index + 1:] + bad_state, _ = replay(bad, maps, initial, selected) + need(bad_state != expected, "An omitted middle source view is rejected") + bad = events[:stages["current_inverse_code"][0]] + bad_state, _ = replay(bad, maps, initial, selected) + need(bad_state != expected, "An omitted source-code restoration is rejected") + words[key] = {"reader_stage": pair["reader_stage"], "service_stage": pair["service_stage"], + "events": events, "maps": maps, "stage_ranges": stages} + reports[key] = {**report, "exact_query_entry_unit_bound": query_bound, + "complete_local_scalar": 6456 + report["scalar_primitives"], + "native_mass": 1792, "native_profile": {"1": 1392, "2": 64, "3": 48, "8": 16}, + "restored_source_fields": 112, "unchanged_arbitrary_helpers": 416, + "direct_owner_path_terms": 3808, "distinct_checked_full_maps": len(maps)} + payload = { + "schema": "fixed-reader-literal-global-query-v1", + "source_pins": {key: {"path": str(path), "sha256": pin} + for key, (path, pin) in PINS.items()}, + "pivots": pivots, "native_prefixes": prefix["providers"], "queries": words, + "physical_contract": { + "query_entrance": "All X and selected Y fields are in the actual completed global FULL frame.", + "query": "X is restored; selected Y gains L_s E_t X; ordinary Y and all helpers are unchanged.", + "complete_content": "The selected record z gains L_s E_t x after the checked native carrier prefix. If z=L_s y, it is L_s(y+E_t x).", + "scope": "The complete D25 entry/exit dispatcher that puts the local prefix into these global charts is a separate pinned binding.", + }, + } + raw = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + saved = json.loads(raw) + for key, word in saved["queries"].items(): + pair = next(p for p in query["pairs"] if + key == str(p["reader_stage"]) + ":" + str(p["service_stage"])) + et = routed(response, range(112), pair["current_code_views"]) + actual, report = replay(word["events"], word["maps"], initial_prefix(et, selected), selected) + need(report["scalar_primitives"] == reports[key]["scalar_primitives"] + and report["monomial_maps"] == reports[key]["monomial_maps"], + "The serialized query invoice") + expected = initial_prefix(et, selected) + for p, row in zip(pivots, product(routed(reader, pivots, pair["old_reader_views"]), et)): + add(expected[112 + p], row) + need(actual == expected, "The serialized complete operator map") + (args.out / "ROUTED-QUERY.json.gz").write_bytes(gzip.compress(raw, mtime=0)) + receipt = {"status": "PASS_EXACT_LITERAL_ROUTED_QUERY_AND_NATIVE_PREFIX", + "producer_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "payload_decompressed_sha256": sha256(raw).hexdigest(), + "prefix_reports": prefix_reports, "query_reports": reports, + "scope": "Exact local prefix and global FULL query. The actual D25 dispatcher is a separate binding; recursive hosting and the supplier remain open."} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_service.py b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_service.py new file mode 100644 index 0000000000..5c1510a9f0 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/emit_service.py @@ -0,0 +1,187 @@ +#!/usr/bin/env python3 +"""Bind the native prefix, DATA dispatcher, and routed reader query.""" + +import argparse +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path +import sys + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[2] +PINS = { + "helper": (HERE / "emit_routed_query.py", + "78d505f55b4646fff0d1c40b53ad11327874bee6ebd074013c4288197f3fe900"), + "query": (HERE / "query-normal/ROUTED-QUERY.json.gz", + "b94f7b8467bdcaf9150045fc5f7a1999640daab742faaaba55993c102be49d4a"), + "dispatcher": (LANES / "bridge-access-20261017/row-capture-access-20261020/integration-v2-normal/DISPATCHER.json", + "35772f75d983661a21f6a6ba69d06fb7bcdcaaaf20ec7ad838863541a8581e24"), + "dispatcher_freeze": (LANES / "bridge-access-20261017/row-capture-access-20261020/INTEGRATION-FREEZE.json", + "bbc0e4026b1d003dedc55c78cd6300ef429ee2d95712e55bbab896da2840c331"), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def read(name): + path, pin = PINS[name] + raw = path.read_bytes() + if path.suffix == ".gz": + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Pinned source " + name) + return raw + + +read("helper") +spec = importlib.util.spec_from_file_location("fixed_reader_service_query", PINS["helper"][0]) +q = importlib.util.module_from_spec(spec) +sys.modules[spec.name] = q +spec.loader.exec_module(q) + + +def verify(bundle): + prefix = json.loads(q.read("prefix")) + capture = json.loads(q.read("capture")) + old_query = json.loads(q.read("query")) + selected = set(bundle["selected_ports"]) + need(bundle["native_prefixes"] == prefix["providers"], "The full native programs are unchanged") + response = q.base.n.rows(prefix["response"]) + reader = q.base.n.rows(capture["centre_reader"]) + phase_checks = 0 + routed_stage_views = {} + for stage in bundle["stage_views"]: + t = stage["service_stage"] + need(stage["physical_input_level"] == t - 1 + and stage["physical_output_level"] == t, "The adjacent physical level") + before = [(v, 1) for v in q.UNIT[:9 + 8 * (t - 1)]] + after = [(v, 1) for v in q.UNIT[:9 + 8 * t]] + exterior = [(v, 1) for v in stage["common_exterior_axes"]] + need(exterior == [(v, 1) for v in q.UNIT[9:9 + 8 * t]], "The complete common exterior") + entries = {item["field"]: item for item in stage["DATA_entry"]} + exits = {item["field"]: item for item in stage["DATA_exit"]} + need(set(entries) == set(exits) == set(range(224)), "All data boundary fields") + for field in range(224): + entry, out = entries[field], exits[field] + p = field % 112 + rho = tuple(entry["route_columns"]) + need(rho == tuple(out["route_columns"]), "The same owner partition at both ends") + need(q.compose(rho, rho) == q.UNIT + and q.transpose(rho) == rho, "The orthogonal involutive DATA route") + line = prefix["ports"][p] + need(q.act(rho, line) == line, "The intrinsic line is fixed") + full = field < 112 or p in selected + physical_before = before + ([] if full else [(line, -1)]) + actual = q.phase.add_phase( + q.phase.product([(q.act(rho, v), exponent) for v, exponent in physical_before]), + q.phase.line(entry["translation_after_route"], 2)) + expected = q.phase.product(exterior + ([(line, 1)] if full else [])) + need(actual == expected and entry["intrinsic_input"] == ("Q_p" if full else "I"), + "The exact global-to-local input phase") + need(q.act(rho, entry["translation_before_route"]) == entry["translation_after_route"], + "The exact translation order at entry") + physical_after = after + ([] if full else [(line, -1)]) + actual = q.phase.add_phase( + q.phase.product([(q.act(rho, v), exponent) for v, exponent in physical_after]), + q.phase.line(out["translation_after_route"], 2)) + need(actual == q.phase.product(physical_after) + and out["global_output"] == ("FULL" if full else "FULL*q_p"), + "The exact local-to-global output phase") + phase_checks += 2 + routed_stage_views[t] = [ + {"port": p, "route_columns": entries[p]["route_columns"], + "translation": exits[p]["translation_after_route"]} for p in range(112)] + prefix_reports = {} + for provider, word in bundle["native_prefixes"].items(): + prefix_reports[provider] = q.base.verify( + word, q.base.n.r.identity(112), response, [{} for _ in range(112)], selected) + expected_pairs = {(provider, s, t) for provider in bundle["native_prefixes"] + for s, t in ((0, 1), (0, 2), (1, 2))} + actual_pairs = set() + reports = [] + for service in bundle["services"]: + provider, s, t = service["provider"], service["reader_stage"], service["service_stage"] + actual_pairs.add((provider, s, t)) + key = f"{s}:{t}" + word = bundle["queries"][key] + pair = old_query["pairs"][service["query_pair_record"]] + need((pair["reader_stage"], pair["service_stage"]) == (s, t), "The exact retained reader") + need(pair["current_code_views"] == routed_stage_views[t], + "The query current chart is the actual DATA exit chart") + need(service["physical_input_level"] == t - 1 + and service["physical_output_level"] == t, "The reader label is not the physical level") + need([part["op"] for part in service["ordered_blocks"]] == [ + "DATA_entry", "native_input_adapters", "complete_native_carrier_cover_sweep", + "ordinary_output_adapters", "DATA_exit", "complete_cover_barrier", + "fixed_past_reader_query"], "The complete cover barrier precedes the query") + prefix_word = bundle["native_prefixes"][provider] + need(service["ordered_blocks"][2]["event_range"] == [0, len(prefix_word["events"])], + "No native event is omitted") + et = q.routed(response, range(112), routed_stage_views[t]) + ls = q.routed(reader, bundle["selected_ports"], pair["old_reader_views"]) + initial = q.initial_prefix(et, selected) + expected = [dict(row) for row in initial] + for p, row in zip(bundle["selected_ports"], q.product(ls, et)): + q.add(expected[112 + p], row) + actual, query_report = q.replay(word["events"], word["maps"], initial, selected) + need(actual == expected, "The complete service on all640 formal input fields") + scalar = prefix_reports[provider]["real_scalar_primitives"] + query_report["scalar_primitives"] + maps = service["map_call_bound"] + need(scalar == service["scalar_primitives"] == 17624 + and maps == {"DATA": 448, "late_query": 2064, "local_endpoint_adapters": 224, + "native_side_maps": 3040, "total": 5776}, + "The complete service invoice") + reports.append({"provider": provider, "reader_stage": s, "service_stage": t, + "native_mass": 1792, "scalar_primitives": scalar, + "monomial_map_call_bound": maps["total"], + "all_independent_input_fields": 640, + "query_prefix_formal_one_norm": query_report["exact_prefix_content_one_norm"], + "query_additional_binary_height": query_report["additional_binary_height"]}) + need(actual_pairs == expected_pairs and len(bundle["services"]) == len(expected_pairs), + "Both providers and all three actual stage pairs") + return {"complete_services": reports, "data_boundary_phase_equations": phase_checks, + "prefix_reports": prefix_reports} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + query = json.loads(read("query")) + dispatcher = json.loads(read("dispatcher")) + read("dispatcher_freeze") + for name, (path, pin) in dispatcher["source_pins"].items(): + raw = (LANES / path).read_bytes() + if path.endswith(".gz"): + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "The complete dispatcher source pin " + name) + bundle = { + "schema": "six-fixed-reader-forward-services-v1", + "source_pins": {key: {"path": str(path), "sha256": pin} + for key, (path, pin) in PINS.items()}, + "selected_ports": dispatcher["selected_ports"], "contract": dispatcher["contract"], + "owner_contract": dispatcher["owner_contract"], "stage_views": dispatcher["stage_views"], + "native_prefixes": query["native_prefixes"], "queries": query["queries"], + "services": dispatcher["invocations"], + "scope": "Complete data interfaces on the regular D25 cover, under the inherited416-helper host contract. Recursive hosting and the complete supplier cost remain separate.", + } + report = verify(bundle) + raw = (json.dumps(bundle, sort_keys=True, separators=(",", ":")) + "\n").encode() + need(verify(json.loads(raw)) == report, "The complete serialized service bundle") + (args.out / "FIXED-READER-SERVICES.json.gz").write_bytes(gzip.compress(raw, mtime=0)) + receipt = {"status": "PASS_EXACT_SIX_FIXED_READER_D25_SERVICES", + "producer_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "payload_decompressed_sha256": sha256(raw).hexdigest(), **report, + "scope": bundle["scope"]} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/fixed-reader-reuse-20261020/prefix-normal/CARRIER-PREFIX.json.gz 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"FROZEN_PRODUCER_PASS_INDEPENDENT_REVIEW_PENDING" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/FREEZE.json new file mode 100644 index 0000000000..352c37ada2 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "PRODUCTIVE-CAPTURE.md": "de842ef7745cc86ab21a7e05472bc99ef47e7d0c75185b70cfe40219715aee66", + "emit_capture.py": "1557c9f38b1d89f6d38e920d8db604607519a99cf37366b4c15414aed489cf1f", + "run-normal/CHECKS.json": "8f769610ac2a5bd905a89566dde512bfa7ab47a46770b76897deb0536f004c2d", + "run-normal/PRODUCTIVE-CAPTURE.json.gz": "943b23d9d41801ffced2e19e765f097eecf2e5ecc5e83079fd63af4b907fa788", + "run-optimized/CHECKS.json": "8f769610ac2a5bd905a89566dde512bfa7ab47a46770b76897deb0536f004c2d", + "run-optimized/PRODUCTIVE-CAPTURE.json.gz": "943b23d9d41801ffced2e19e765f097eecf2e5ecc5e83079fd63af4b907fa788" + }, + "normal_optimized_byte_identical": true, + "payload_decompressed_sha256": "7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2", + "scope": "Exact local productive centre-row formation, including arbitrary target baselines. Selected targets finish in FULL. No next-stage I-frame, recursive hosting or final supplier claim.", + "status": "FROZEN_PRODUCER_PASS_INDEPENDENT_REVIEW_PENDING" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE-FREEZE.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE-FREEZE.json new file mode 100644 index 0000000000..d0d58ab7c0 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE-FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "LINE-ENTRY-REUSE.md": "f2ceaf4ba246a20226aec105145d29c2442bd58681256487439b04064815aa2c", + "emit_line_entry_reuse.py": "c8a799f29b6244190e2880b44206a240b8cd16427661c3cc7aff9f1905bdec62", + "reuse-normal/CHECKS.json": "cfb3da51fb929a1ffa35b6a1cb973426431d98acba355cf2d6b606bf32450048", + "reuse-normal/LINE-ENTRY-REUSE.json.gz": "b3cc486c4ecf0574a8a9a6a94ba62a068340ed30525a3dcf889dd19cf7d84047", + "reuse-optimized/CHECKS.json": "cfb3da51fb929a1ffa35b6a1cb973426431d98acba355cf2d6b606bf32450048", + "reuse-optimized/LINE-ENTRY-REUSE.json.gz": "b3cc486c4ecf0574a8a9a6a94ba62a068340ed30525a3dcf889dd19cf7d84047" + }, + "normal_optimized_byte_identical": true, + "payload_decompressed_sha256": "efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110", + "scope": "The arbitrary-record local line-entry interface uses the same local reader. Routed past-reader access, caller composition, and recursive hosting remain separate.", + "status": "FROZEN_PRODUCER_PASS_INDEPENDENT_REVIEW_PENDING" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE.md b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE.md new file mode 100644 index 0000000000..3d74e03659 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE.md @@ -0,0 +1,86 @@ +# A local line-entry interface for sixteen stored centre rows + +This packet changes the input contract of the frozen productive row capture. +It accepts sixteen independent records with their positive line phases. It +does not form or decode those records. + +Let \(P\) be the fixed sixteen-port set in `PRODUCTIVE-CAPTURE.md`. Let +\(q_p=Q_p^{-1}\), let \(F_9\) be the exact full transform, and let \(C\) and +\(E\) be the pinned row code and native response. The physical inputs are + +\[ + X_p=Q_px_p,\qquad + Y_p=y_p\ (p\notin P),\qquad + Y_p=Q_pz_p\ (p\in P). +\] + +The records \(z_p\), all other data, and all 416 helper fields are arbitrary +and independent. The emitted outputs are + +\[ + X_p=F_9x_p,\qquad + Y_p=F_9q_p(y+Ex)_p\ (p\notin P),\qquad + Y_p=F_9[z_p+(CEx)_p]\ (p\in P). +\] + +The entry has no row precode. The word keeps the 96 ordinary target paths +from the formation packet. No retained event reads a selected target. +Each selected target starts in its exact canonical line chart and advances +to FULL with one rank-eight child. The word then executes the same pinned +FULL-source query as the formation packet. Thus the independent record is +preserved as an additive baseline. No assumption that a record is zero is +used. + +The input adapter for each selected target is the pinned source adapter +for the same physical port, bound to the selected target field. The 16 +new rank-eight recipes are derived from the exact ordered operation +\(\Gamma_{\rm FULL}\Gamma_{\rm line}^{-1}\). Both providers pass the +independent phase interpreter, including the global phase. The output +adapters and every retained native recipe are byte-exact inherited data. + +For each provider the complete local invoice is: + +| Item | Count | +| --- | ---: | +| Native profile | \(1392H_1+64H_2+48H_3+16H_8\) | +| Native mass | 1792 | +| Native children | 1520 | +| Scalar primitives | 9880 | +| Retained-core scalar primitives | 6456 | +| Late-query scalar primitives | 3424 | +| Input monomial views | 128 | +| Output monomial views | 96 | +| Native side-map upper bound | 3040 | +| Owned or private fields | 0 | +| Fixed odd-division scans | 0 | + +The literal scalar/native boundary sweep has maximum content row one-norm +112 and binary denominator height one. This is a bound on register content +at those boundaries. It is not a bound for the internal implementation of +a recursive child. + +`emit_line_entry_reuse.py` verifies every one of the 640 independent input +columns, the exact frame of every read and write, all final frames, and +the identity on all 416 helpers. It verifies the serialized output again. +A control that changes a selected input frame from its line to I fails. +Normal Python and optimized Python produce byte-identical payloads and +receipts. + +Reproduce into new output directories: + +```sh +python3 emit_line_entry_reuse.py --out replay-normal +python3 -O emit_line_entry_reuse.py --out replay-optimized +``` + +This is a local reuse interface with the same local reader \(C_P\). For a +reader retained from an earlier routed stage, the late query is +\(L_sE_t\), with its actual ordered source views. That query has a separate +word and invoice. In particular, the 9880 figure here is not its price. +The caller must also supply the stated positive line input on each stored +record and accept the stated FULL output. No complete supplier, recursive +hosting, or kappa improvement is claimed. + +This result uses the controller's frozen row-code packet, the cyclic +native family, and the reviewed formation packet. The proof, emitter, and +checks were prepared with AI assistance. diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/emit_line_entry_reuse.py b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/emit_line_entry_reuse.py new file mode 100644 index 0000000000..d89e113296 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/emit_line_entry_reuse.py @@ -0,0 +1,132 @@ +#!/usr/bin/env python3 +"""Emit the local line-entry interface for arbitrary centre records.""" + +import argparse +from copy import deepcopy +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path +import sys + + +HERE = Path(__file__).resolve().parent +SOURCE = HERE / "run-normal/PRODUCTIVE-CAPTURE.json.gz" +SOURCE_PIN = "7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2" +HELPER = HERE / "emit_capture.py" +HELPER_PIN = "1557c9f38b1d89f6d38e920d8db604607519a99cf37366b4c15414aed489cf1f" + + +def need(test, message): + if not test: + raise ValueError(message) + + +need(sha256(HELPER.read_bytes()).hexdigest() == HELPER_PIN, "The pinned formation checker") +spec = importlib.util.spec_from_file_location("line_entry_base", HELPER) +base = importlib.util.module_from_spec(spec) +sys.modules[spec.name] = base +spec.loader.exec_module(base) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + raw = gzip.decompress(SOURCE.read_bytes()) + need(sha256(raw).hexdigest() == SOURCE_PIN, "Exact complete formation source") + source = json.loads(raw) + selected = set(source["selected_ports"]) + response = base.n.rows(source["response"]) + captured = base.n.rows(source["captured_response"]) + identity = base.n.r.identity(112) + reports, words = {}, {} + fresh = 0 + for provider, original in source["providers"].items(): + word = deepcopy(original) + start_core, end_core = original["stage_ranges"]["retained_core"] + start_query, end_query = original["stage_ranges"]["late_query"] + kept = deepcopy(original["events"][start_core:end_core]) + query = deepcopy(original["events"][start_query:end_query]) + events = list(kept) + word["native_recipes"].pop("capture-full") + source_views = {view["port"]: view for view in original["input_views"]} + input_views = [{**view, "field": view["port"]} for view in original["input_views"]] + for p in source["selected_ports"]: + line = original["start"][p] + word["start"][112 + p] = line + old = base.n.compiler.canonical_frame(9, tuple(word["frames"][line])) + full = base.n.compiler.canonical_frame(9, tuple(word["frames"][1])) + operation = old.adjoint().then(full) + recipe, _ = base.n.compiler.lower_child(operation) + need(recipe["rank"] == 8, "The exact line-to-FULL rank") + circuit = base.n.phase.adjoint(base.n.phase.frame(word["frames"][line], 9)) \ + + base.n.phase.frame(word["frames"][1], 9) + base.n.phase.equal(base.n.phase.recipe(recipe), circuit, + "Exact selected line-entry advance") + fresh += 1 + key = "capture-line:" + str(p) + word["native_recipes"][key] = recipe + events.append(["native", 112 + p, line, 1, 8, key]) + input_views.append({**source_views[p], "role": "selected_target", + "field": 112 + p, "source_entry_port": p}) + query_start = len(events) + events.extend(query) + word["events"] = events + word["input_views"] = input_views + word.pop("new_full_recipe_circuit") + word["stage_ranges"] = {"precode": [0, 0], "retained_core": [0, len(kept)], + "selected_line_progress": [len(kept), query_start], + "late_query": [query_start, len(events)]} + report = base.verify(word, identity, response, captured, selected) + need(report["native_profile"] == {1: 1392, 2: 64, 3: 48, 8: 16}, + "The complete reuse profile") + need(report["native_mass"] == 1792 and report["real_scalar_primitives"] == 9880, + "The complete current-reader local invoice") + need(len(input_views) == 128 and len(word["output_views"]) == 96, + "All source and selected target input views are charged") + reports[provider], words[provider] = report, word + bad = deepcopy(word) + bad["start"][112 + source["selected_ports"][0]] = 0 + try: + base.verify(bad, identity, response, captured, selected) + except ValueError: + pass + else: + raise ValueError("The wrong selected I-frame input was accepted") + payload = { + "schema": "productive-sixteen-line-entry-reuse-v1", + "source_decompressed_sha256": SOURCE_PIN, + "ports": source["ports"], "selected_ports": source["selected_ports"], + "ordinary_ports": source["ordinary_ports"], "response": source["response"], + "selected_query_response": source["captured_response"], "providers": words, + "physical_contract": { + "input": "X_p=Q_p x_p; Y_p=y_p outside P; Y_p=Q_p z_p on P", + "source_output": "X_p=F9 x_p for every p", + "ordinary_target_output": "Y_p=F9 q_p (y+E x)_p outside P", + "selected_target_output": "Y_p=F9 [z_p+(C E x)_p] on P", + "baseline": "All16 records z and all other data/helper fields are independent and arbitrary.", + "reader_scope": "The late query uses the same local reader C_P. A routed past-reader query is a separate word and invoice.", + }, + } + data = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + saved = json.loads(data) + for provider, word in saved["providers"].items(): + need(base.verify(word, identity, response, captured, selected) == reports[provider], + "The complete serialized line-entry replay") + (args.out / "LINE-ENTRY-REUSE.json.gz").write_bytes(gzip.compress(data, mtime=0)) + receipt = {"status": "PASS_EXACT_LOCAL_LINE_ENTRY_REUSE", + "producer_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "source_decompressed_sha256": SOURCE_PIN, + "payload_decompressed_sha256": sha256(data).hexdigest(), + "reports": reports, "fresh_phase_checks": fresh, + "negative_control": "A selected I-frame input is rejected.", + "scope": "Exact arbitrary-record local interface only. The actual past/current routed reader product, its access maps, and the complete supplier remain separate."} + (args.out / "CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/CHECKS.json b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/CHECKS.json new file mode 100644 index 0000000000..86ddadbe7b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/CHECKS.json @@ -0,0 +1,71 @@ +{ + "fresh_phase_checks": 32, + "negative_control": "A selected I-frame input is rejected.", + "payload_decompressed_sha256": "efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110", + "producer_sha256": "c8a799f29b6244190e2880b44206a240b8cd16427661c3cc7aff9f1905bdec62", + "reports": { + "base": { + "additional_content_binary_height": 1, + "arbitrary_input_columns": 640, + "explicit_input_monomial_views": 128, + "explicit_output_monomial_views": 96, + "fixed_odd_scans": 0, + "maximum_content_prefix_row_one_norm": "112", + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_side_map_upper_bound": 3040, + "ordinary_hole_targets": 96, + "owned_fields": 0, + "private_fields": 0, + "real_scalar_primitives": 9880, + "scalar_stage_prices": { + "late_query": 3424, + "precode": 0, + "retained_core": 6456, + "selected_line_progress": 0 + }, + "selected_full_targets": 16, + "unchanged_arbitrary_helper_fields": 416, + "unchanged_source_fields": 112 + }, + "extra": { + "additional_content_binary_height": 1, + "arbitrary_input_columns": 640, + "explicit_input_monomial_views": 128, + "explicit_output_monomial_views": 96, + "fixed_odd_scans": 0, + "maximum_content_prefix_row_one_norm": "112", + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_side_map_upper_bound": 3040, + "ordinary_hole_targets": 96, + "owned_fields": 0, + "private_fields": 0, + "real_scalar_primitives": 9880, + "scalar_stage_prices": { + "late_query": 3424, + "precode": 0, + "retained_core": 6456, + "selected_line_progress": 0 + }, + "selected_full_targets": 16, + "unchanged_arbitrary_helper_fields": 416, + "unchanged_source_fields": 112 + } + }, + "scope": "Exact arbitrary-record local interface only. The actual past/current routed reader product, its access maps, and the complete supplier remain separate.", + "source_decompressed_sha256": "7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2", + "status": "PASS_EXACT_LOCAL_LINE_ENTRY_REUSE" +} diff --git a/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/LINE-ENTRY-REUSE.json.gz b/research/centre-code-services/frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/LINE-ENTRY-REUSE.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..dd14386af97237ad6ac139d078374d21549a3a9c GIT binary patch literal 144819 zcmXt<19T_PLF_(ZtWA zDyumD;m?;N(R0#RD)GZHUwa#@B}(3HG#*rG{sOAVf`3N`j0XR14`y<^KObIt{@owF z>$D*l6@avB^lyOpmI17R~ zfdVhF@9;g81JV-7$v91dGY_%{spo`E(l<%iH~=9vzlv|s{pbj3mSjuZCBd4YlgHuf z=vl%8X__QA!4O}h58#FBpK|!zE7h6ueWAbE{u@yV(*8S93)21v(J<2fr_|%vW4_bz 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columns.""" +from collections import Counter +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SOURCE = LANES / 'coherent-port/isotropic-pair-gauge-20261018' +H6 = LANES / 'oblique-native-20261017/radical-centre-carry' +PINS = { + 'GAUGE.md': '17f7fcb6d67499f2d0280d1c49b0c0d01076ec839b620d0a82b8ce6de3e3395b', + 'check_isotropic_gauge.py': 'fdab75d06215e6dc1215d8aaf6737443be0c5b4fe3ad8088ff95c5d9221c730d', + 'GAUGE-PROGRAMS.json': '20f14f021623761160b0ef461904b38f82efdc7dd0c4008271620415bf747701', + 'CHECKS.json': '4ef0a622416d46a2ccab39d6f87a2e67be82fdbbe0e6d7cc0e0e0bac5e0ad0c3', +} +INPUTS = {} + + +def need(value, label): + if not value: + raise ValueError(label) + + +def read(path, expected=None, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + content = gzip.decompress(raw) if compressed else raw + need(expected is None or sha256(content).hexdigest() == expected, 'Input pin: '+str(path)) + INPUTS[str(path.relative_to(LANES))] = {'sha256': digest} + if compressed: + INPUTS[str(path.relative_to(LANES))]['decompressed_sha256'] = sha256(content).hexdigest() + return content + + +def frozen(path, pin): + record = json.loads(read(path/'FREEZE.json', pin)) + for name, digest in record['files'].items(): + read(path/name, digest) + return record + + +def rotate(r, i, power): + return ((r, i), (-i, r), (-r, -i), (i, -r))[power % 4] + + +def phase_at(rows, linear, x): + exponent = sum(value for j, value in enumerate(linear) if x & (1 << j)) + for j, row in enumerate(rows): + if x & (1 << j): + exponent += 2*((row & x) >> (j+1)).bit_count() + return exponent % 4 + + +def compile_circuit(circuit, n=9): + """Combine adjacent address and phase tables, without a Clifford tableau.""" + size = 1 << n + mapping, phases = list(range(size)), [0]*size + output = [] + + def flush(): + nonlocal mapping, phases + if mapping != list(range(size)) or any(phases): + output.append(('M', tuple(mapping), tuple(phases))) + mapping, phases = list(range(size)), [0]*size + + for event in circuit: + kind = event[0] + if kind == 'C': + flush() + need(0 <= event[1] < size and event[2] in (-1, 1), 'Literal C gate') + output.append(tuple(event)) + continue + if kind == 'P': + rows = event[1] + need(len(rows) == n and all(0 <= r < size for r in rows), 'Address matrix') + image = [sum(((r & x).bit_count() % 2) << j for j, r in enumerate(rows)) + for x in range(size)] + need(sorted(image) == list(range(size)), 'Address matrix is a permutation') + mapping = [image[x] for x in mapping] + elif kind == 'X': + mapping = [x ^ event[1] for x in mapping] + elif kind in ('D', 'phase'): + powers = ([event[1] % 4]*size if kind == 'phase' else + [phase_at(event[1], event[2], x) for x in range(size)]) + phases = [(p+powers[x]) % 4 for p, x in zip(phases, mapping)] + else: + raise ValueError(event) + flush() + return output + + +def inverse(compiled): + result = [] + for event in reversed(compiled): + if event[0] == 'C': + result.append(('C', event[1], -event[2])) + else: + image, phase = event[1:] + back, powers = [0]*len(image), [0]*len(image) + for x, y in enumerate(image): + back[y], powers[y] = x, -phase[x] % 4 + result.append(('M', tuple(back), tuple(powers))) + return result + + +def normalized(state, denominator): + state = {x: value for x, value in state.items() if value != (0, 0)} + if not state: + return {}, 0 + bits = 0 + for real, imag in state.values(): + bits |= abs(real) | abs(imag) + shift = min(denominator, (bits & -bits).bit_length()-1) + return ({x: (real >> shift, imag >> shift) for x, (real, imag) in state.items()}, + denominator-shift) + + +def run(compiled, column): + state, denominator = {column: (1, 0)}, 0 + for event in compiled: + if event[0] == 'M': + image, phases = event[1:] + state = {image[x]: rotate(real, imag, phases[x]) + for x, (real, imag) in state.items()} + else: + _, v, sign = event + moved = {} + for x, (real, imag) in state.items(): + for y, value in ((x, (real-sign*imag, imag+sign*real)), + (x ^ v, (real+sign*imag, imag-sign*real))): + old = moved.get(y, (0, 0)) + moved[y] = (old[0]+value[0], old[1]+value[1]) + state = {x: value for x, value in moved.items() if value != (0, 0)} + denominator += 1 + return normalized(state, denominator) + + +def monomial(record): + need(set(record) == {'matrix_rows', 'quadratic_rows', 'linear_Z4', 'offset', 'phase'}, + 'Complete monomial record') + return [['D', record['quadratic_rows'], record['linear_Z4']], + ['P', record['matrix_rows']], ['X', record['offset']], ['phase', record['phase']]] + + +def recipe(record): + rank = record['rank'] + need(0 <= rank <= 9, 'Native rank') + before = [] if record['right'] is None else monomial(record['right']) + return compile_circuit(before + [['C', 1 << j, 1] for j in range(rank)] + + monomial(record['left'])) + + +def compare(left, right, label, support=None): + digest = sha256() + coefficients = 0 + for x in range(512): + actual, expected = run(left, x), run(right, x) + need(actual == expected, label+' column '+str(x)) + if support is not None: + need(len(actual[0]) == support, label+' support') + coefficients += len(actual[0]) + digest.update(json.dumps([x, actual[1], sorted(actual[0].items())], separators=(',', ':')).encode()) + return {'spatial_columns': 512, 'nonzero_coefficients': coefficients, 'digest': digest.hexdigest()} + + +def gauge(n, a, b): + size = 1 << n + phase = ('M', tuple(range(size)), tuple((b & x).bit_count() % 2 for x in range(size))) + return [phase, ('C', a, 1), phase] + + +def span(vectors): + values = {0} + for vector in vectors: + values |= {x ^ vector for x in values} + return values + + +def canonical(vectors, n=9): + """Build the declared chart from a truth-table inverse of its address map.""" + rank, size = len(vectors), 1 << n + need(len(span(vectors)) == 1 << rank, 'Independent declared frame basis') + if rank == n: + return [('C', 1 << j, 1) for j in range(n)] + if not rank: + return [] + columns = list(vectors) + for vector in (1 << j for j in range(n)): + if vector not in span(columns): + columns.append(vector) + need(len(columns) == n, 'Complete chart basis') + image = [] + for x in range(size): + y = 0 + for j, column in enumerate(columns): + if x & (1 << j): + y ^= column + image.append(y) + back = [0]*size + for x, y in enumerate(image): + back[y] = x + inverse_columns = [back[1 << j] for j in range(n)] + quadratic = [(1 << j) ^ sum(((v & w).bit_count() % 2) << k + for k, w in enumerate(inverse_columns)) + for j, v in enumerate(inverse_columns)] + linear = [(row >> j) & 1 for j, row in enumerate(quadratic)] + K = [('M', tuple(image), tuple(phase_at(quadratic, linear, y) for y in image))] + return inverse(K)+[('C', 1 << j, 1) for j in range(rank)]+K + + +def formula(n, a, b, q, x): + t, u = (b & q).bit_count() % 2, (b & x).bit_count() % 2 + q0 = q ^ (a if t else 0) + return {x ^ (q0 if u else 0): rotate(1, 0, (2*t-1)*u)}, 0 + + +def general_checks(): + counts = {} + for n in range(1, 5): + total = 0 + for a in range(1, 1 << n): + for b in range(1, 1 << n): + if (a & b).bit_count() % 2 != 1: + continue + w = gauge(n, a, b) + for q in range(1 << n): + circuit = inverse(w)+[('C', q ^ a, -1), ('C', q, 1)]+w + for x in range(1 << n): + need(run(circuit, x) == formula(n, a, b, q, x), 'General pair formula') + total += 1 + counts[n] = total + w = gauge(9, 45, 1) + for q in range(512): + circuit = inverse(w)+[('C', q ^ 45, -1), ('C', q, 1)]+w + for x in range(512): + need(run(circuit, x) == formula(9, 45, 1, q, x), 'Every local direction') + for x in range(512): + need(run(w+w, x) == ({x: (0, 1)}, 0), 'Exact square phase') + for v in range(512): + need((run(w+[('C', v, 1)], 0) == run([('C', v, 1)]+w, 0)) == (v & 1 == 0), + 'Exact pure-C continuation criterion') + # This shear is not orthogonal. Covectors use the inverse transpose. + chart = compile_circuit([['P', [3, 2]]], 2) + transported = inverse(chart)+gauge(2, 1, 1)+chart + dual_action = gauge(2, 1, 3) + for x in range(4): + need(run(transported, x) == run(dual_action, x), 'General chart dual action') + need(any(run(transported, x) != run(gauge(2, 1, 1), x) for x in range(4)), + 'Naive covector action rejects for a non-orthogonal chart') + # Two two-bit columns check the tensor phase separately. + for q in range(4): + tensor = [] + wg = [] + for shift in (0, 2): + local = gauge(4, 3 << shift, 1 << shift) + tensor += inverse(local)+[('C', (q ^ 3) << shift, -1), ('C', q << shift, 1)]+local + wg += local + for x in range(16): + y, phase = 0, 0 + for shift in (0, 2): + value = (x >> shift) & 3 + t, u = q & 1, value & 1 + y |= (value ^ ((q ^ (3 if t else 0)) if u else 0)) << shift + phase += (2*t-1)*u + need(run(tensor, x) == ({y: rotate(1, 0, phase)}, 0), 'Tensor pair phase') + need(run(wg+wg, x) == ({x: (-1, 0)}, 0), 'Tensor square phase i squared') + print('general formula and tensor phases PASS', flush=True) + return {'all_parameters_dimensions_1_to_4': counts, 'all_nine_bit_q_columns': 512*512, + 'tensor_width_two_columns': 64, 'pure_C_continuation_directions': 512, + 'nonorthogonal_chart_columns': 4} + + +def transition_checks(): + counts = {} + for n in range(1, 5): + parameters = [(a, b) for a in range(1, 1 << n) for b in range(1, 1 << n) + if (a & b).bit_count() % 2] + gauges = {(a, b): gauge(n, a, b) for a, b in parameters} + total = 0 + for a1, b1 in parameters: + for a2, b2 in parameters: + op = inverse(gauges[a1, b1])+gauges[a2, b2] + for x in (range(1 << n) if n <= 3 else (0,)): + u1, u2 = (b1 & x).bit_count() % 2, (b2 & x).bit_count() % 2 + if a1 == a2: + delta = u1 ^ u2 + expected = ({x ^ (a1 if delta else 0): ((-1)**(u1*delta), 0)}, 0) + else: + cross = (b2 & a1).bit_count() % 2 + expected = ({x: ((-1)**(u1+u2), 0), + x ^ a2: ((-1)**u1, 0), + x ^ a1: ((-1)**(u2+cross), 0), + x ^ a1 ^ a2: (1, 0)}, 1) + need(run(op, x) == expected, 'Exact transition formula and global phase') + need(len(expected[0]) == (1 if a1 == a2 else 4), 'Transition support criterion') + total += 1 + counts[n] = total + print('general transition formula and rank obstruction PASS', flush=True) + return {'dimensions_1_to_3_all_columns_and_dimension_4_zero_column': counts, + 'same_radical_rank': 0, 'distinct_radicals_rank': 2} + + +def source_binding(packet, h6, signed, core, geometry): + labels = next(iter(core['providers'].values()))['canonical']['ports'] + need(all(p['canonical']['ports'] == labels for p in core['providers'].values()), 'Provider labels') + large = signed['large_ports'] + need(sorted(row['port'] for row in packet['monomials']) == sorted(large), 'All actual centre ports') + need([p for p, q in enumerate(labels) if (q & 45).bit_count() % 2 == 0] == sorted(large), + 'Exactly the actual radical-perpendicular ports') + need(sorted(tuple(row['ports']) for row in packet['left_coded_pair_plane_tails']) == + sorted(tuple(row['ports']) for row in geometry['pair_edges']), 'Actual pair planes') + source_rows = packet['left_coded_source_tails'] + target_rows = {row['port']: row for row in packet['left_coded_tails']} + routes = {} + for provider, record in h6['providers'].items(): + for direction, word in record.items(): + need(word['frames'][word['carry_frame']] == [45], 'Actual canonical carry frame') + need(len(word['centre_frames']) == 8, 'Eight source frames') + for j, frame in enumerate(word['centre_frames']): + need(span(word['frames'][frame]) == span(source_rows[j]['frame_basis']), + 'Actual centre subspace binding') + flags = [False]*640 + changed = Counter() + endpoint = {(r['role'], r['port']): r for r in word['endpoint_adapters']} + checks = [] + for event in word['events']: + if event[0] == 'native': + _, field, before, after, rank, key = event + need(not flags[field], 'No later native call on a coded source') + if field in large and after == 1: + j = word['centre_frames'].index(before) + need(rank == 2, 'Old source exit rank') + flags[field] = True + changed['source_2_to_1'] += 1 + elif 112 <= field < 224 and field-112 in large and before == word['carry_frame']: + p = field-112 + need(after == endpoint['target', p]['frame'] and rank == 7, + 'Old target exit and endpoint adapter') + flags[field] = True + changed['target_7_to_6'] += 1 + checks.append((p, word['native_recipes'][key], endpoint['target', p])) + elif event[0] == 'scalar': + op = event[1] + if op[0] in ('add', 'copy'): + need(flags[op[1]] == flags[op[2]], 'Common W commutes with remaining scalar graph') + elif op[0] == 'clear': + need(not flags[op[1]], 'No coded field is cleared') + else: + need(op[0] == 'scale', 'Known scalar operation') + elif event[0] == 'set_empty_frame': + need(not flags[event[1]], 'No coded frame reset') + else: + raise ValueError(event) + need(changed == {'source_2_to_1': 48, 'target_7_to_6': 48}, 'All changed exits') + need({i for i, flag in enumerate(flags) if flag} == set(large) | {112+p for p in large}, + 'Exactly two coded centre banks, with helpers unchanged') + routes[provider+'/'+direction] = {'changed_exits': dict(changed), 'coded_fields': 96, + 'coded_borrowed_fields': 0, + 'literal_source_basis_equal': [word['frames'][f] == source_rows[j]['frame_basis'] + for j, f in enumerate(word['centre_frames'])]} + if provider == 'base' and direction == 'forward': + routes['_target_checks'] = checks + routes['_carry_recipe'] = word['native_recipes']['0:'+str(word['carry_frame'])] + routes['_source_old'] = [word['native_recipes'][str(frame)+':1'] + for frame in word['centre_frames']] + return labels, routes + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('output', type=Path) + args = parser.parse_args() + args.output.mkdir(parents=True, exist_ok=False) + for name, pin in PINS.items(): + read(SOURCE/name, pin) + read(SOURCE/'FREEZE.json', '3c1669513029238abf181d4137b7a25efd4113c951ac78301a9da2c7e9df6ec1') + packet = json.loads(read(SOURCE/'GAUGE-PROGRAMS.json', PINS['GAUGE-PROGRAMS.json'])) + receipt = json.loads(read(SOURCE/'CHECKS.json', PINS['CHECKS.json'])) + need(receipt['program_sha256'] == PINS['GAUGE-PROGRAMS.json'], 'Receipt packet binding') + dependencies = {} + for name, (kind, pin) in packet['pins'].items(): + raw = read(LANES/name, pin, kind == 'gzip') + if name.endswith(('.json', '.gz')): + dependencies[name] = json.loads(raw) + frozen(H6, 'a1b0ec7bbead298e1484199b15896e2b5b688d53b3f2f5d9e0d73c29bea04a80') + h6 = json.loads(read(H6/'RADICAL-CENTRE-PROGRAM.json.gz', + '25ddd47640a98e61b5edf5f36e2aad9867eab00e072545322bb36e4d63c561ea', True)) + h6_binding_pins = { + 'H6-SOURCE-PROGRAMS.json': '4eb739a9191aaba6b8c15a2c10868ceba80c4596000eca50c8f68f29c527e569', + 'bind_h6_sources.py': '150453ca6e3bd75bdfab1805def824c44c34e83037b6996ff355d493de26686b', + 'H6-SOURCE-CHECKS.json': 'cb5a9d3b4f83b4718ec70bdd5473d55cc25d3c3078d696f6f6504862c6443e7e', + 'H6-SOURCE-BINDING.md': '7a3a9313f6c8b01dc5a2dc2aa156abb109ad624d25cf92f9aa0dc0b57d11d783', + } + for name, pin in h6_binding_pins.items(): + read(SOURCE/name, pin) + actual_sources = json.loads(read(SOURCE/'H6-SOURCE-PROGRAMS.json', h6_binding_pins['H6-SOURCE-PROGRAMS.json'])) + read(SOURCE/'H6-SOURCE-FREEZE.json', 'cf436b1016f7d9c5b933eb818098ff0339436fec20d0ed497045fc992e6ee0b5') + matching_freeze = json.loads(read(SOURCE/'MATCHING-EXITS-FREEZE.json', + '9d5e63259b861bf69ac5e00b2ec9ad3158aec3edac4ce54e08fcf33249f137be')) + for name, pin in matching_freeze['pins'].items(): + read(SOURCE/name, pin) + matching = json.loads(read(SOURCE/'MATCHING-EXITS-PROGRAMS.json', + '89ce6c4b426498e2fb9e7dfce9a4a192e3183644fef457c5b357baf63b9c6276')) + signed = dependencies['controller-followthrough-20261017/bipartite-eight-20261018/BIPARTITE-EIGHT-PROGRAM.json.gz'] + core = dependencies['new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz'] + geometry = dependencies['controller-followthrough-20261017/partial-orthogonal/SYMMETRIC-FAMILY.json'] + labels, routes = source_binding(packet, h6, signed, core, geometry) + results = {'general': general_checks(), 'transitions': transition_checks()} + W, Z = compile_circuit(packet['W']['circuit']), compile_circuit(packet['canonical_Z']) + need(Z == canonical([45]), 'Independent construction of the exact canonical Z') + FULL = [('C', 1 << j, 1) for j in range(9)] + need(packet['n'] == 9 and packet['a'] == 45 and packet['b'] == 1, 'Actual gauge parameters') + results['W'] = compare(W, gauge(9, 45, 1), 'Literal W', 2) + need(packet['W']['native_recipe']['rank'] == 1, 'Native W rank') + results['W_recipe'] = compare(recipe(packet['W']['native_recipe']), W, 'W native recipe', 2) + results['canonical_carry_binding'] = compare(recipe(routes.pop('_carry_recipe')), Z, 'Actual canonical Z', 2) + results['alignments'] = {} + for name, intended in [('W_Z_inverse', inverse(Z)+W), ('Z_inverse_W', W+inverse(Z))]: + row = packet['alignments'][name] + actual = compile_circuit(monomial(row['record'])) + need(actual == compile_circuit(row['circuit']), 'Serialized alignment circuit') + results['alignments'][name] = compare(actual, intended, name, 1) + results['pairs'] = [] + for row in packet['monomials']: + p, q = row['port'], row['q'] + need(q == labels[p] and row['q_partner'] == q ^ 45, 'Actual pair labels') + t, q0 = q & 1, q ^ (45 if q & 1 else 0) + need(row['q0'] == q0 and row['phase_coefficient'] == 2*t-1, 'Formula fields') + need(row['matrix_rows'] == [(1 << j) ^ (1 if q0 >> j & 1 else 0) for j in range(9)], + 'Formula address matrix') + canonical_pair = inverse(Z)+[('C', q ^ 45, -1), ('C', q, 1)]+Z + results['pairs'].append({'port': p, **compare(compile_circuit(monomial(row['canonical_record'])), + canonical_pair, 'Canonical pair '+str(p), 1)}) + print('canonical gauge and all actual pairs PASS', flush=True) + results['target_tails'] = [] + old_targets = {p: (old, adapter) for p, old, adapter in routes.pop('_target_checks')} + for row in packet['left_coded_tails']: + p, q = row['port'], row['q'] + need(q == labels[p] and row['recipe']['rank'] == row['left_coded_rank'] == 6 and + row['right_coded_rank'] == 8, 'Target rank declarations') + expected = inverse(Z)+[('C', q, -1)]+FULL+W + actual = recipe(row['recipe']) + need(actual == compile_circuit(row['circuit']), 'Native target serialization') + entry = {'port': p, **compare(actual, expected, 'Left target '+str(p), 64)} + right = inverse(Z)+W+[('C', q, -1)]+FULL + for x in range(512): + need(len(run(right, x)[0]) == 256, 'Right-coded rank eight on every column') + old, adapter = old_targets[p] + intended_old = inverse(Z)+[('C', q, -1)]+FULL + entry['old_endpoint_binding'] = compare(recipe(old)+inverse(recipe(adapter)), intended_old, + 'Actual old target exit '+str(p), 128) + need(run(actual, 0) != run(right, 0), 'Wrong W order rejects') + need(run(actual+[('M', tuple(range(512)), (2,)*512)], 0) != run(expected, 0), + 'Wrong global sign rejects') + results['target_tails'].append(entry) + if len(results['target_tails']) % 8 == 0: + print('target tails', len(results['target_tails']), 'PASS', flush=True) + results['source_tails'] = [] + old_sources = routes.pop('_source_old') + for row, old in zip(packet['left_coded_source_tails'], old_sources): + source = compile_circuit(row['source_frame']) + need(source == canonical(row['frame_basis']), 'Source frame and exact ordered basis') + need(row['recipe']['rank'] == row['new_rank'] == 1 and row['old_rank'] == 2, + 'Source rank declarations') + need(recipe(row['recipe']) == compile_circuit(row['circuit']), 'Native source serialization') + entry = {'vertex': row['vertex'], **compare(recipe(row['recipe']), inverse(source)+FULL+W, + 'Source tail '+str(row['vertex']), 2)} + actual_old, claimed_old = recipe(old), inverse(source)+FULL + mismatches = [] + for x in range(512): + if run(actual_old, x) != run(claimed_old, x): + mismatches.append(x) + need(len(run(actual_old+W, x)[0]) == 2, 'Actual coded H6 source rank one') + entry['h6_operator_binding'] = {'equal_columns': 512-len(mismatches), + 'first_mismatch': next(iter(mismatches), None), + 'actual_W_completed_support': 2} + results['source_tails'].append(entry) + results['pair_plane_tails'] = [] + for row in packet['left_coded_pair_plane_tails']: + p, r = row['ports'] + need(labels[p] ^ labels[r] == 45 and row['recipe']['rank'] == row['new_rank'] == 6 and + row['old_rank'] == 7, 'Actual pair plane and ranks') + source = compile_circuit(row['source_frame']) + need(source == canonical(row['frame_basis']), 'Pair plane and exact ordered basis') + need(recipe(row['recipe']) == compile_circuit(row['circuit']), 'Native plane serialization') + entry = {'ports': [p, r], **compare(recipe(row['recipe']), inverse(source)+FULL+W, + 'Pair plane '+str(p), 64)} + for x in range(512): + need(len(run(inverse(source)+FULL, x)[0]) == 128, 'Old pair-plane rank seven') + results['pair_plane_tails'].append(entry) + print('source tails and pair planes PASS', flush=True) + results['actual_h6_sources'] = [] + need(len(actual_sources['recipes']) == 16, 'Both actual providers and eight source vertices') + seen = set() + for row in actual_sources['recipes']: + provider, j = row['provider'], row['vertex'] + need((provider, j) not in seen, 'Unique actual source recipe') + seen.add((provider, j)) + word = h6['providers'][provider]['forward'] + frame = word['centre_frames'][j] + need(row['frame_id'] == frame and row['frame_basis'] == word['frames'][frame], + 'Exact actual H6 frame') + need(compile_circuit(row['frame_circuit']) == canonical(row['frame_basis']), + 'Independent actual source canonical frame') + need(row['recipe']['rank'] == 1 and recipe(row['recipe']) == compile_circuit(row['circuit']), + 'Actual one-child source recipe') + for direction in ('forward', 'backward'): + other = h6['providers'][provider][direction] + need(other['frames'][other['centre_frames'][j]] == row['frame_basis'] and + other['native_recipes'][str(frame)+':1'] == word['native_recipes'][str(frame)+':1'], + 'Both orientation source records are identical') + old = recipe(word['native_recipes'][str(frame)+':1']) + results['actual_h6_sources'].append({'provider': provider, 'vertex': j, + **compare(recipe(row['recipe']), old+W, 'Actual source binding', 2)}) + print('actual H6 source binding PASS', flush=True) + need(matching['gauge_freeze_sha256'] == '3c1669513029238abf181d4137b7a25efd4113c951ac78301a9da2c7e9df6ec1', + 'Matching gauge dependency') + need(matching['source_pins'] == packet['pins'], 'Same matching source pins') + results['matching_targets'] = [] + need(len(matching['target_exits']) == 48, 'All matching target exits') + for row in matching['target_exits']: + p, pair = row['port'], row['pair'] + need(p in pair and tuple(pair) in {tuple(e['ports']) for e in geometry['pair_edges']}, + 'Actual matching pair and target') + perpendicular = {x for x in range(512) if all((x & labels[z]).bit_count() % 2 == 0 for z in pair)} + need(span(row['input_frame_basis']) == perpendicular and len(row['input_frame_basis']) == 7, + 'Exact pair-perpendicular subspace') + source = compile_circuit(row['input_frame']) + need(source == canonical(row['input_frame_basis']), 'Literal matching input frame') + expected = inverse(source)+[('C', labels[p], -1)]+FULL+W + actual = compile_circuit(monomial(row['record'])) + need(actual == compile_circuit(row['circuit']) and row['new_rank'] == 0 and row['old_rank'] == 1, + 'Matching monomial record') + results['matching_targets'].append({'port': p, **compare(actual, expected, 'Matching target', 1)}) + need(len(run(expected+inverse(W), 0)[0]) == 2, 'Old matching target rank one') + orders = [[] for _ in range(8)] + for edge in geometry['pair_edges']: + for vertex, port in zip(edge['vertices'], edge['ports']): + orders[vertex].append(port) + need(all(len(order) == 6 for order in orders), 'Actual six-carrier cyclic orders') + results['cyclic_sources'] = [] + need(len(matching['cyclic_source_exits']) == 48, 'All cyclic source exits') + for row in matching['cyclic_source_exits']: + vertex, p = row['vertex'], row['carrier'] + order = orders[vertex] + index = order.index(p) + five = [order[(index+j) % 6] for j in range(5)] + need(row['cyclic_order'] == order and row['five_ports'] == five, 'Exact cyclic source order') + need(span(row['input_frame_basis']) == span([45]+[labels[q] for q in five]) and + len(row['input_frame_basis']) == 6, 'Actual cyclic source subspace') + source = compile_circuit(row['input_frame']) + need(source == canonical(row['input_frame_basis']), 'Literal cyclic input frame') + actual = recipe(row['recipe']) + need(actual == compile_circuit(row['circuit']) and row['new_rank'] == row['recipe']['rank'] == 2 and + row['old_rank'] == 3, 'Cyclic native record') + results['cyclic_sources'].append({'vertex': vertex, 'carrier': p, + **compare(actual, inverse(source)+FULL+W, 'Cyclic source', 4)}) + need(len(run(inverse(source)+FULL, 0)[0]) == 8, 'Old cyclic source rank three') + print('matching and cyclic exit phases PASS', flush=True) + control = receipt['width_two_control'] + q, chars = control['q'], control['characters'] + need(len(chars) == 2 and all((45 & x).bit_count() % 2 == 1 for x in chars), 'Width-two characters') + exponent = sum(((q & x).bit_count() % 2)-(((q ^ 45) & x).bit_count() % 2) for x in chars) % 4 + need(exponent == 2 and sum((45 & x).bit_count() % 2 for x in chars) % 2 == 0, + 'Simultaneous translation shortcut rejects') + old_profile = Counter() + for event in h6['providers']['base']['forward']['events']: + if event[0] == 'native': + old_profile[event[4]] += 1 + new_profile = old_profile.copy() + new_profile[2] -= 48; new_profile[1] += 48 + new_profile[7] -= 48; new_profile[6] += 48 + results.update(status='PASS', routes=routes, source_pins=PINS, + h6_route_delta={'old_profile': dict(sorted(old_profile.items())), + 'new_profile': {k:v for k,v in sorted(new_profile.items()) if v}, + 'old_mass': sum(k*v for k,v in old_profile.items()), + 'new_mass': sum(k*v for k,v in new_profile.items()), + 'children': sum(new_profile.values()), 'scalar_graph_delta': 0, + 'scope': 'The target replacement and corrected source recipes are bound to H6. Replace each selected target native exit together with its inverse endpoint adapter. The structural replacement gives W on 96 centre-bank outputs. Native side-map execution and complete supplier costs remain open.'}, + negative_controls={'wrong_W_order':48, 'wrong_global_sign':48, + 'tensor_simultaneous_translation':1}, + phase_method='Sparse exact Gaussian columns; no producer or Clifford compiler import.') + for name, value in [('REVIEW.json', results), ('INPUTS.json', INPUTS)]: + (args.output/name).write_text(json.dumps(value, indent=2, sort_keys=True)+'\n') + print('PASS_ISOTROPIC_PAIR_INDEPENDENT_REVIEW', flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json new file mode 100644 index 0000000000..786ab73ff4 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "REPRODUCTION.json": "5fe7900ca1791738790a663c882ea411d8e3f41cdb9f9b7f5d23f06deffbf939", + "REVIEW.md": "f6ddd5a2581319ac5b07d402384c4847bce88f10505cca926c9287e838e1760f", + "check.py": "c2a8f93e2c1cf23f8fc279e6dc87d6bd923e60c438531fe1770b0992d1dfdb7d", + "normal/INPUTS.json": "7dd502092b351949a4312d9b94d78b4554474c140715a31d6b1ae849c1ecc7c5", + "normal/REVIEW.json": "28b3fb22941c24fd208864c501f7992b887932d6186a6553abb1c46ef0a08d4f", + "optimized/INPUTS.json": "7dd502092b351949a4312d9b94d78b4554474c140715a31d6b1ae849c1ecc7c5", + "optimized/REVIEW.json": "28b3fb22941c24fd208864c501f7992b887932d6186a6553abb1c46ef0a08d4f" + }, + "publication": "No PR, push, commit, or publication.", + "scope": "Both local arbitrary-record provider words, exact phases, same-reader restriction, and complete local invoice. No routed past-reader query or complete supplier claim.", + "status": "PASS_INDEPENDENT_LOCAL_LINE_ENTRY_REUSE" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REPRODUCTION.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REPRODUCTION.json new file mode 100644 index 0000000000..e94c51f785 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REPRODUCTION.json @@ -0,0 +1,8 @@ +{ + "normal_optimized_byte_identical": { + "INPUTS.json": "7dd502092b351949a4312d9b94d78b4554474c140715a31d6b1ae849c1ecc7c5", + "REVIEW.json": "28b3fb22941c24fd208864c501f7992b887932d6186a6553abb1c46ef0a08d4f" + }, + "source_files_rechecked": 35, + "status": "PASS" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REVIEW.md new file mode 100644 index 0000000000..5a1315e905 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/REVIEW.md @@ -0,0 +1,199 @@ +# Independent review of the local line-entry reuse interface + +The frozen word accepts sixteen arbitrary independent records in +positive line frames and preserves them as additive baselines. +Both providers pass the complete local map, frame, phase, and +invoice checks. No material defect was found. + +This is local reuse with the same reader. It is separate from the +query for a reader kept from an earlier routed stage. + +## Frozen inputs and method + +The producer +[freeze](../../new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE-FREEZE.json) +has SHA256 +`a8e212f9cd3cc7ac4a020737ba4889c04a7ae6124877cf770b9555f6f3e54f60`. +The decompressed payload SHA256 is +`efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110`. + +The accepted formation +[review](../row-capture-native-review-20261020/FREEZE.json) +has SHA256 +`488dc693d6e7d48e8024455c9c3f2f899f94a8e9058aef28ad38f7c46c7d8532`. +Its exact source payload has decompressed SHA256 +`7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2`. + +The checker imports only the pinned independent review helper and +its integer Gaussian phase interpreter. It imports no producer +code. It checks the new word by reverse output-column propagation +and a separate forward prefix-row pass. It compares exact spatial +columns for every new native recipe. + +## Exact arbitrary-record contract + +Keep the fixed selected set P and the actual response E from the +formation packet. Put \(W=V_P^{-1}V\), and let C have rows W on P +and identity rows elsewhere. For independent inputs x, ordinary +target values \(y_R\), and selected records \(z_P\), the physical +input is + +\[ +X_p=Q_px_p,\qquad +Y_p=y_p\quad(p\in R),\qquad +Y_p=Q_pz_p\quad(p\in P). +\] + +The physical output is + +\[ +X'_p=F_9x_p,\qquad +Y'_p=F_9q_p(y+Ex)_p\quad(p\in R),\qquad +Y'_p=F_9[z_p+(CEx)_p]\quad(p\in P). +\] + +The ordinary formula uses only \(y_R\); no selected baseline y is +needed there. All sixteen z records are independent of each other, +of x, and of every other field. The word does not form or decode z. + +## Literal order and field checks + +The word contains no row precode. Its event list is exactly: + +1. The 2390 retained core events from the accepted formation word. +2. Sixteen selected line-to-FULL native calls. +3. The 248 events in the accepted late-query word. + +Every retained event has its original bytes and order. No retained +event reads or writes a selected target. The selected records +therefore remain unchanged until their line-to-FULL calls. + +The new input frame on each selected target is exactly the source +line frame for that port. Its input adapter is the accepted source +adapter for that same port, with an explicit binding to the target +field. All 128 input view fields are distinct. + +Every source and selected target is FULL before the late query. +Every scalar addition has the same actual source and target frame. +The final declarations are identical to those of the formation +word. A selected input declared as I is rejected. + +Both providers pass all 640 arbitrary input columns. The column +for each selected record is exactly the unit column for that +record's output. All 416 fields outside the two data banks retain +their arbitrary values. No event accesses those fields, and no +new or owned field is introduced. + +The forward row pass agrees with the reverse-column result. An +omitted late query is rejected. + +## Exact phases + +All 1447 retained native recipes are byte equal to the accepted +formation records. The 112 source input adapters and the 96 +outgoing ordinary adapters are also exact inherited records. +The sixteen additional input adapters use the accepted source +records with their explicit new field bindings. + +For each selected port p, the new recipe must satisfy + +\[ +N_p\Gamma_{\mathrm{line}(p)}=F_9. +\] + +The independent interpreter checks this exact identity on all +512 spatial input columns. There are sixteen new recipes, hence +8192 complete spatial columns and 4194304 nonzero coefficients. +The checks include global phase. A wrong global phase is rejected. + +Combining this identity with the accepted input-adapter identity +gives the physical operation \(Q_pz_p\mapsto F_9z_p\). +No Q operator is moved through the reader or the response. +The exact spatial identities tensor to all widths admitted by +the retained native primitive contract. + +These H8 recipes retain their two generic monomial maps. The +identity-map refinement for a complete F9 call does not apply here. + +## Local invoice and precision scope + +Each provider has the exact profile + +```text +1392 H1 + 64 H2 + 48 H3 + 16 H8. +``` + +The complete local counts are: + +| Item | Count | +| --- | ---: | +| Native children | 1520 | +| Native mass | 1792 | +| Old real scalar units | 9880 | +| Retained-core scalar units | 6456 | +| Late-query scalar units | 3424 | +| Input monomial views | 128 | +| Output monomial views | 96 | +| Native side-map upper bound | 3040 | +| New or private fields | 0 | +| Odd-arithmetic scans | 0 | + +The exact content row one-norm at emitted operation boundaries +is at most 112. The additional content binary denominator height +is one. These bounds include the full retained word and query. +They do not bound primitive internals, recursive-child numerical +guards, or accumulated roundoff. + +The sixteen calls remain rank-eight calls. Their exact recursive +sizes, the owner-view work, and the complete caller must be priced +before any complete supplier cost can be claimed. + +## The reader condition is necessary + +If z stores \(Wy\), the selected output stores \(W(y+Ex)\). +Thus the local update preserves that same reader. + +For a different stored reader L, the required update is \(LEx\). +The emitted update \(WEx\) is equal to it on all source inputs if +and only if + +\[ +(L-W)E=0. +\] + +The checker verifies both exact inverse orders for this actual E. +Therefore that condition is equivalent to \(L=W\). More generally, +the same implication holds for ordered operators when E has an +inverse. It does not require any commutation of L, W, or E. + +Consequently, a reader from an earlier routed stage needs its +actual ordered query \(L_sE_t\), unless equality of the transported +reader with the current local reader has been proved. The separate +bridge-access construction supplies such queries under its own +premises and invoice. The 9880 local figure is not that invoice. + +This review proves the local line-entry interface. It does not +prove a complete routed reuse, a final decoder, a recursive host, +a complete supplier, or a kappa improvement. + +## Reproduction and credit + +Run from the workspace root: + +```text +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -O -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized +``` + +The required final line is +`PASS_INDEPENDENT_LOCAL_LINE_ENTRY_REUSE`. +The reproduction receipt records the final byte comparison and +source hash checks. +Both runs completed with the required result. Their result and +input receipts are byte identical. All 35 consumed source files +were rechecked and are unchanged. + +The producer proof retains the controller, cyclic-family, and +formation-work credit. AI assistance was used. No PR, push, commit, +or publication is authorized. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/check.py b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/check.py new file mode 100644 index 0000000000..0419f9c41f --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/check.py @@ -0,0 +1,200 @@ +#!/usr/bin/env python3 +"""Check the exact local interface for arbitrary line-encoded records.""" +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +PREVIOUS = HERE.parent/'row-capture-native-review-20261020' +HELPER = PREVIOUS/'check.py' +HELPER_PIN = '5b8f2839db4fd4b0e4b24d5b8f8938c74a15497ae0e58f324896cf431d3ecb84' +if sha256(HELPER.read_bytes()).hexdigest() != HELPER_PIN: + raise ValueError('Independent review helper pin') +spec = importlib.util.spec_from_file_location('independent_row_review', HELPER) +review = importlib.util.module_from_spec(spec) +spec.loader.exec_module(review) +review.read(HELPER, HELPER_PIN) +need, read, frozen = review.need, review.read, review.frozen +P = review.P +SOURCE = review.NATIVE + + +def trace(word): + current = list(word['start']) + profile, used = Counter(), set() + for i, event in enumerate(word['events']): + if i == word['stage_ranges']['late_query'][0]: + need(all(current[p] == 1 for p in range(112)) and + all(current[112+p] == 1 for p in P), 'Complete common-FULL query cut') + if event[0] == 'native': + _, field, before, after, rank, key = event + need(0 <= field < 224 and current[field] == before, 'Native field and input frame') + need(word['native_recipes'][key]['rank'] == rank, 'Native occurrence rank') + current[field] = after + profile[rank] += 1 + used.add(key) + else: + need(event[0] == 'scalar', 'Event opcode') + _, scalar, frame = event + op, target, origin, _ = scalar + need(0 <= target < 224 and current[target] == frame, 'Scalar target frame') + if op == 'add': + need(0 <= origin < 224 and current[origin] == frame and target != origin, + 'Scalar source frame') + else: + need(op == 'scale' and origin is None, 'Scale grammar') + need(current == word['final'], 'Exact complete final frames') + need(used == set(word['native_recipes']), 'Every stored native recipe is used') + return profile + + +def check_word(word, old, e, ce): + need(word['frames'] == old['frames'] and word['final'] == old['final'], + 'Exact inherited frame geometry and output declarations') + expected_start = list(old['start']) + for p in P: + expected_start[112+p] = old['start'][p] + need(len(word['frames'][expected_start[112+p]]) == 1, + 'Selected canonical line frame') + need(word['start'] == expected_start, 'Only selected input frames change') + start, end = old['stage_ranges']['retained_core'] + kept = old['events'][start:end] + start, end = old['stage_ranges']['late_query'] + query = old['events'][start:end] + progress = [['native', 112+p, old['start'][p], 1, 8, 'capture-line:'+str(p)] for p in P] + need(word['events'] == kept+progress+query, 'Exact complete local reuse order') + need(word['retained_original_event_indices'] == old['retained_original_event_indices'], + 'Same retained raw events') + need(word['stage_ranges'] == { + 'precode': [0, 0], 'retained_core': [0, 2390], + 'selected_line_progress': [2390, 2406], 'late_query': [2406, 2654]}, + 'Exact reuse stage boundaries') + selected = {112+p for p in P} + for event in kept: + if event[0] == 'scalar': + need(event[1][1] not in selected and + (event[1][0] != 'add' or event[1][2] not in selected), + 'Retained core does not access selected records') + else: + need(event[1] not in selected, 'Retained native core does not access selected records') + inherited = set(old['native_recipes'])-{'capture-full'} + fresh = {'capture-line:'+str(p) for p in P} + need(set(word['native_recipes']) == inherited|fresh, 'Exact native recipe set') + for key in inherited: + need(word['native_recipes'][key] == old['native_recipes'][key], + 'Byte-equal inherited native recipe') + need(word['output_views'] == old['output_views'], 'All96 exact outgoing views') + source_views = {r['port']: r for r in old['input_views']} + inputs = [{**r, 'field': r['port']} for r in old['input_views']] + inputs += [{**source_views[p], 'role': 'selected_target', 'field': 112+p, + 'source_entry_port': p} for p in P] + need(word['input_views'] == inputs, 'Copied source adapters bound to actual target fields') + need(len({r['field'] for r in inputs}) == 128, 'Distinct charged input view fields') + count = trace(word) + need(count == {1: 1392, 2: 64, 3: 48, 8: 16}, 'Complete reuse native profile') + scalars = [event[1] for event in word['events'] if event[0] == 'scalar'] + expected = review.unit(640) + for p in range(112): + review.add(expected[112+p], ce[p] if p in P else e[p]) + columns = review.reverse(scalars, 640) + need(columns == review.transpose(expected, 640), 'All640 arbitrary input columns') + for p in P: + need(columns[112+p] == {112+p: F(1)}, 'Independent selected record preserved exactly') + actual, bound = review.prefix(scalars, 640) + need(actual == expected and actual[224:] == review.unit(640)[224:], + 'Separate forward map and arbitrary outside fields') + need(bound == {'row_one_norm': '112', 'binary_height': 1}, 'Complete local content bounds') + need(review.price(scalars) == 9880, 'Complete reuse scalar invoice') + need(review.price([e[1] for e in kept if e[0] == 'scalar']) == 6456 and + review.price([e[1] for e in query if e[0] == 'scalar']) == 3424, 'Both scalar stages') + bad = dict(word) + bad['start'] = list(word['start']) + bad['start'][112+P[0]] = 0 + try: + trace(bad) + except ValueError: + pass + else: + raise ValueError('Wrong selected I-frame control') + need(review.reverse([e[1] for e in kept if e[0] == 'scalar'], 640) != columns, + 'Omitted late-query control') + return { + 'input_columns': 640, 'arbitrary_selected_records': 16, 'unchanged_arbitrary_roles': 416, + 'events': len(word['events']), 'native_profile': dict(sorted(count.items())), + 'native_children': sum(count.values()), 'native_mass': sum(k*v for k, v in count.items()), + 'real_scalar_primitives': 9880, 'retained_scalar_primitives': 6456, + 'late_query_scalar_primitives': 3424, 'input_views': 128, 'output_views': 96, + 'native_side_maps_upper_bound': 3040, 'new_fields': 0, 'private_fields': 0, + 'odd_scans': 0, 'growth': bound, 'inherited_distinct_recipes': len(inherited), + 'fresh_distinct_recipes': len(fresh), + } + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', required=True, type=Path) + args = parser.parse_args() + frozen(PREVIOUS, 'FREEZE.json', + '488dc693d6e7d48e8024455c9c3f2f899f94a8e9058aef28ad38f7c46c7d8532') + frozen(SOURCE, 'LINE-ENTRY-REUSE-FREEZE.json', + 'a8e212f9cd3cc7ac4a020737ba4889c04a7ae6124877cf770b9555f6f3e54f60') + original = json.loads(read(SOURCE/'run-normal/PRODUCTIVE-CAPTURE.json.gz', + '7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2', True)) + payload = json.loads(read(SOURCE/'reuse-normal/LINE-ENTRY-REUSE.json.gz', + 'efe67a962752f2c36513d84094d215fd0909a5360707938ff99d62743dc72110', True)) + need(payload['source_decompressed_sha256'] == + '7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2', + 'Exact formation source') + need(payload['schema'] == 'productive-sixteen-line-entry-reuse-v1', 'Reuse schema') + need(payload['selected_ports'] == P and payload['ports'] == original['ports'] and + payload['ordinary_ports'] == original['ordinary_ports'], 'Actual ordered ports') + need(payload['response'] == original['response'] and + payload['selected_query_response'] == original['captured_response'], + 'Same local reader response') + need(set(payload['providers']) == {'base', 'extra'} and + payload['providers']['base'] == payload['providers']['extra'], 'Both exact providers') + e, ce = review.rows(payload['response']), review.rows(payload['selected_query_response']) + reports = {name: check_word(word, original['providers'][name], e, ce) + for name, word in payload['providers'].items()} + phase = review.inherit() + word = payload['providers']['base'] + full = [('C', 1 << j, 1) for j in range(9)] + checks = [] + for p in P: + frame = word['start'][112+p] + native = phase.recipe(word['native_recipes']['capture-line:'+str(p)]) + result = phase.compare(phase.canonical(word['frames'][frame])+native, + full, 'Exact selected line progress '+str(p), 512) + checks.append({'port': p, 'frame': frame, **result}) + first = P[0] + frame = word['start'][112+first] + bad = phase.canonical(word['frames'][frame])+phase.recipe( + word['native_recipes']['capture-line:'+str(first)])+phase.compile_circuit([['phase', 1]]) + need(phase.run(bad, 0) != phase.run(full, 0), 'Wrong global phase control') + raw = json.loads(read(review.RAW/'odd16-normal-v2/EXTENSION-PROGRAM.json.gz', + 'd466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4', True)) + inverse = review.rows(raw['model']['response_inverse']) + need(review.mul(e, inverse) == review.unit(112) and + review.mul(inverse, e) == review.unit(112), 'Actual invertible response') + report = { + 'status': 'PASS_INDEPENDENT_LOCAL_LINE_ENTRY_REUSE', + 'literal_words': reports, 'fresh_phase_checks': checks, + 'exact_response_inverse_orders': True, + 'negative_controls': ['wrong selected I input frame', 'omitted late query', 'wrong global phase'], + 'reader_scope': 'The required update for a stored reader L is L E. Since E is invertible, equality with W E on all inputs requires L=W. No routed reader change is priced here.', + 'scope': 'Complete local arbitrary-record reuse with the same reader, exact physical phases, and local invoice. No routed past-reader query, full caller, recursive host, or supplier claim.', + } + args.out.mkdir(parents=True, exist_ok=True) + for name, value in [('REVIEW.json', report), ('INPUTS.json', review.INPUTS)]: + (args.out/name).write_text(json.dumps(value, indent=2, sort_keys=True)+'\n') + print(report['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal/INPUTS.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal/INPUTS.json new file mode 100644 index 0000000000..668725b9d5 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal/INPUTS.json @@ -0,0 +1,110 @@ +{ + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz": { + "decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE-FREEZE.json": { + "sha256": "a8e212f9cd3cc7ac4a020737ba4889c04a7ae6124877cf770b9555f6f3e54f60" + }, + "new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/LINE-ENTRY-REUSE.md": { + "sha256": "f2ceaf4ba246a20226aec105145d29c2442bd58681256487439b04064815aa2c" + }, + "new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/emit_line_entry_reuse.py": { + "sha256": "c8a799f29b6244190e2880b44206a240b8cd16427661c3cc7aff9f1905bdec62" + }, + "new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/reuse-normal/CHECKS.json": { + "sha256": "cfb3da51fb929a1ffa35b6a1cb973426431d98acba355cf2d6b606bf32450048" + }, + 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+ }, + "new-native-recipes-20261017/row-capture-native-review-20261020/normal/INPUTS.json": { + "sha256": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1" + }, + "new-native-recipes-20261017/row-capture-native-review-20261020/normal/REVIEW.json": { + "sha256": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + }, + "new-native-recipes-20261017/row-capture-native-review-20261020/optimized/INPUTS.json": { + "sha256": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1" + }, + "new-native-recipes-20261017/row-capture-native-review-20261020/optimized/REVIEW.json": { + "sha256": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + } +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal/REVIEW.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/normal/REVIEW.json new file mode 100644 index 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"inherited_distinct_recipes": 1447, + "input_columns": 640, + "input_views": 128, + "late_query_scalar_primitives": 3424, + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_side_maps_upper_bound": 3040, + "new_fields": 0, + "odd_scans": 0, + "output_views": 96, + "private_fields": 0, + "real_scalar_primitives": 9880, + "retained_scalar_primitives": 6456, + "unchanged_arbitrary_roles": 416 + } + }, + "negative_controls": [ + "wrong selected I input frame", + "omitted late query", + "wrong global phase" + ], + "reader_scope": "The required update for a stored reader L is L E. Since E is invertible, equality with W E on all inputs requires L=W. No routed reader change is priced here.", + "scope": "Complete local arbitrary-record reuse with the same reader, exact physical phases, and local invoice. No routed past-reader query, full caller, recursive host, or supplier claim.", + "status": "PASS_INDEPENDENT_LOCAL_LINE_ENTRY_REUSE" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/INPUTS.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/INPUTS.json new file mode 100644 index 0000000000..668725b9d5 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/INPUTS.json @@ -0,0 +1,110 @@ +{ + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz": { + "decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + 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"sha256": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + }, + "new-native-recipes-20261017/row-capture-native-review-20261020/optimized/INPUTS.json": { + "sha256": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1" + }, + "new-native-recipes-20261017/row-capture-native-review-20261020/optimized/REVIEW.json": { + "sha256": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + } +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/REVIEW.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/REVIEW.json new file mode 100644 index 0000000000..9d50305f8d --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/line-entry-reuse-review-20261020/optimized/REVIEW.json @@ -0,0 +1,185 @@ +{ + "exact_response_inverse_orders": true, + "fresh_phase_checks": [ + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 2, + "nonzero_coefficients": 262144, + "port": 0, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 29, + "nonzero_coefficients": 262144, + "port": 27, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 38, + "nonzero_coefficients": 262144, + "port": 36, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 113, + "nonzero_coefficients": 262144, + "port": 111, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 22, + "nonzero_coefficients": 262144, + "port": 20, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 9, + "nonzero_coefficients": 262144, + "port": 7, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 59, + "nonzero_coefficients": 262144, + "port": 57, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 48, + "nonzero_coefficients": 262144, + "port": 46, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 3, + "nonzero_coefficients": 262144, + "port": 1, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 5, + "nonzero_coefficients": 262144, + "port": 3, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 8, + "nonzero_coefficients": 262144, + "port": 6, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 10, + "nonzero_coefficients": 262144, + "port": 8, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 19, + "nonzero_coefficients": 262144, + "port": 17, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 20, + "nonzero_coefficients": 262144, + "port": 18, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 26, + "nonzero_coefficients": 262144, + "port": 24, + "spatial_columns": 512 + }, + { + "digest": "493167f1aeab09c7a681f15ca4c66f335f009d60765656775737736a473b0b37", + "frame": 25, + "nonzero_coefficients": 262144, + "port": 23, + "spatial_columns": 512 + } + ], + "literal_words": { + "base": { + "arbitrary_selected_records": 16, + "events": 2654, + "fresh_distinct_recipes": 16, + "growth": { + "binary_height": 1, + "row_one_norm": "112" + }, + "inherited_distinct_recipes": 1447, + "input_columns": 640, + "input_views": 128, + "late_query_scalar_primitives": 3424, + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_side_maps_upper_bound": 3040, + "new_fields": 0, + "odd_scans": 0, + "output_views": 96, + "private_fields": 0, + "real_scalar_primitives": 9880, + "retained_scalar_primitives": 6456, + "unchanged_arbitrary_roles": 416 + }, + "extra": { + "arbitrary_selected_records": 16, + "events": 2654, + "fresh_distinct_recipes": 16, + "growth": { + "binary_height": 1, + "row_one_norm": "112" + }, + "inherited_distinct_recipes": 1447, + "input_columns": 640, + "input_views": 128, + "late_query_scalar_primitives": 3424, + "native_children": 1520, + "native_mass": 1792, + "native_profile": { + "1": 1392, + "2": 64, + "3": 48, + "8": 16 + }, + "native_side_maps_upper_bound": 3040, + "new_fields": 0, + "odd_scans": 0, + "output_views": 96, + "private_fields": 0, + "real_scalar_primitives": 9880, + "retained_scalar_primitives": 6456, + "unchanged_arbitrary_roles": 416 + } + }, + "negative_controls": [ + "wrong selected I input frame", + "omitted late query", + "wrong global phase" + ], + "reader_scope": "The required update for a stored reader L is L E. Since E is invertible, equality with W E on all inputs requires L=W. No routed reader change is priced here.", + "scope": "Complete local arbitrary-record reuse with the same reader, exact physical phases, and local invoice. No routed past-reader query, full caller, recursive host, or supplier claim.", + "status": "PASS_INDEPENDENT_LOCAL_LINE_ENTRY_REUSE" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REPRODUCTION.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REPRODUCTION.json new file mode 100644 index 0000000000..1781475f6e --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REPRODUCTION.json @@ -0,0 +1,8 @@ +{ + "normal_optimized_byte_identical": { + "EXTENSIONS-INPUTS.json": "819b8ee862d941367ed676b16e93a120a307b4edbb189d299c4a8d5d9832bed3", + "EXTENSIONS-REVIEW.json": "98f274b060b3118ce790e1386a895acd133c9e02f7ea08481f8ea8cbbddb05f3" + }, + "source_files_rechecked": 23, + "status": "PASS" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW-FREEZE.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW-FREEZE.json new file mode 100644 index 0000000000..8cfb592501 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW-FREEZE.json @@ -0,0 +1,15 @@ +{ + "base_review_freeze": "cfdc4fa0361aa79c1d53a59ff48bdde1715ea8e3eb6b9efbc109c97bcc44a976", + "files": { + "EXTENSIONS-REPRODUCTION.json": "5991ca1da15d3ffd7778e1de6be870c71f8811c867da6155e963e8bad1570aee", + "EXTENSIONS-REVIEW.md": "67efc6a9b0a04be1b9f2454db4ff5746d1bb389c2e80e0cff7f73e2481e4e798", + "check_extensions.py": "d6fcc9f2279bdd2e6b466dd42552f8add9a8fb05bef3f7f39030a582d729dd8f", + "extensions-normal/EXTENSIONS-INPUTS.json": "819b8ee862d941367ed676b16e93a120a307b4edbb189d299c4a8d5d9832bed3", + "extensions-normal/EXTENSIONS-REVIEW.json": "98f274b060b3118ce790e1386a895acd133c9e02f7ea08481f8ea8cbbddb05f3", + "extensions-optimized/EXTENSIONS-INPUTS.json": "819b8ee862d941367ed676b16e93a120a307b4edbb189d299c4a8d5d9832bed3", + "extensions-optimized/EXTENSIONS-REVIEW.json": "98f274b060b3118ce790e1386a895acd133c9e02f7ea08481f8ea8cbbddb05f3" + }, + "publication": "No PR, push, commit, or publication.", + "scope": "Exact local native reciprocal-large and rank16 data words. Odd-grid inverse implementation, productive helper progress, recursive host, terminal, and complete supplier remain separate.", + "status": "FROZEN_INDEPENDENT_NATIVE_EXTENSIONS" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW.md b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW.md new file mode 100644 index 0000000000..8a7aaff05c --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/EXTENSIONS-REVIEW.md @@ -0,0 +1,177 @@ +# Independent native review of the two response extensions + +The reciprocal-large and rank-sixteen words pass the independent native +checks. Each complete word implements its declared response on all 640 +input roles in both directions. The two actual providers have identical +words and port directions. + +The reciprocal-large word uses the exact rank-thirty native sequence. +The rank-sixteen word uses 685 exact inherited ordered frame pairs and +876 new edges. All 876 new recipes pass all 512 spatial columns, including +global phase. The 224 endpoint adapters are unchanged. + +## Frozen inputs + +The consumed +[extension freeze](../../new-core-transfer-20261017/low-displacement-20261020/EXTENSIONS-FREEZE.json) +has SHA256 +`aec99dd0638e635619b14ffd056ab2581424d765d435462aed94b8c8f882a689`. +Only its final v2 payloads are used: + +| Variant | Decompressed SHA256 | +| --- | --- | +| reciprocal-large | `e4df61bf4e121364ba53538eb2ad612bd314807cfb2050050d4595efce9cf416` | +| odd-grid-rank16 | `d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4` | + +The accepted base phase dependency is +[NATIVE-REVIEW-FREEZE.json](NATIVE-REVIEW-FREEZE.json), at SHA256 +`cfdc4fa0361aa79c1d53a59ff48bdde1715ea8e3eb6b9efbc109c97bcc44a976`. +Its complete input and result receipts are pinned in the extension +checker. The extension does not repeat an inherited phase calculation. + +The separate +[matrix extension review](../../independent-review-20261017/response-extensions-review-20261020/FREEZE.json) +has SHA256 +`1c20e6736b1109ce10746472d3e00d464d5ea2629fe30c37a9d51bd5b74feedc`. +It owns the reciprocal identities, correction rank, principal inverses, +and clique geometry. This review checks that the literal native streams +implement those final matrices. The complete inputs are in +`extensions-normal/EXTENSIONS-INPUTS.json`. + +## Inherited and fresh physical operators + +A phase recipe is inherited only when both ordered frame bases and the +complete recipe are exactly equal to an accepted base entry. Equal +subspaces, equal native ranks, or equal frame names are not sufficient. + +For the reciprocal-large variant, the entire native occurrence sequence, +frame table, and recipe table are equal to the base word. There are 1141 +inherited edges and no fresh edge. Scalar coefficient changes and +omitted zero-coefficient ADDs do not change this native sequence. + +For the rank-sixteen variant, all 685 inherited entries pass that exact +comparison. Each of the other 876 entries is checked as + +\[ + R T_{\mathrm{old}}=T_{\mathrm{new}} +\] + +on all 512 spatial basis vectors. The independent sparse Gaussian +interpreter is the same as in the base review. It imports no producer, +Clifford compiler, or producer phase checker. The fresh checks cover +448512 complete columns and 41619456 exact nonzero coefficients. + +All entry and final frame IDs retain their exact ordered bases from the +base word. The 224 stored endpoint adapters are equal to the accepted +records. Their previously checked physical phases therefore apply +without a new endpoint sweep. + +## Complete data maps and legal access + +For either variant, let \(A\) be the response in that variant's final +model. The literal maps are + +\[ + F_A:(x,y,h)\longmapsto(x,y+Ax,h),\qquad + B_A:(x,y,h)\longmapsto(x-A^{\mathsf T}y,y,h). +\] + +The physical input is \(X=Qx,\ Y=y\). The physical output is +\(X=F_9x'\), \(Y=F_9Q^{-1}y'\). No response matrix is moved through \(Q\). +In particular, the backward map does not use \(A^{-1}\). + +The frame ledger verifies each native entry, each strictly nested exit, +each rank difference, each equal-frame scalar ADD, and every final +frame. It also checks that transfer metadata selects the actual ADD. +The complete reverse coefficient propagation checks every one of the +640 input columns in each direction. An omitted nonzero transfer is +rejected for both variants and both directions. + +Every operation is confined to the 224 data roles. All 416 other live +roles retain their arbitrary values and frames. There are no owned +fields, private fields, CLEAR operations, or hidden source accesses. +As in the base word, this supplies no productive progress on those roles. + +For the reciprocal-large variant, the separate matrix review proves + +\[ + A=E_{48}^{-\mathsf T}\oplus C. +\] + +Thus the backward map supplies the old large-sector inverse +\(-E_{48}^{-1}\). The small sector still supplies \(-C^{\mathsf T}\), +not \(-C^{-1}\). The native review preserves this exact scope. + +## Local invoices + +| Variant | Native profile | Children | Mass | Real scalar primitives | +| --- | --- | ---: | ---: | ---: | +| reciprocal-large | 1036 H1 + 48 H3 + 55 H4 + 55 H5 + 9 H6 + 9 H7 | 1212 | 1792 | 5288 | +| odd-grid-rank16 | 1520 H1 + 64 H2 + 48 H3 | 1632 | 1792 | 7384 | + +Both directions have the stated profile and scalar bill. Each word has +224 external endpoint maps. The native side-map upper bounds are 2424 +and 3264, respectively. These maps are not treated as free. + +The native mass still telescopes to eight per data role. The number and +sizes of the children change. Equal mass alone therefore does not prove +equal recursive cost. + +The exact top-level array norm bounds are 30 forward and 46 backward +for the reciprocal-large variant. The rank-sixteen bound is 22 in either +direction. These are bounds at the literal event boundaries, not on +recursive or scalar primitive internals. + +The scalar price check admits only nonzero dyadic ADD coefficients and +dyadic unit scales. Every native phase recipe has Gaussian-dyadic +entries. No odd division occurs in either emitted native word. + +## What the rank-sixteen word does not implement + +The separate matrix review proves that the rank-sixteen response is an +integer matrix whose correction has rank sixteen. Its inverse uses +denominators five and seven. The selected ordinary normalization also +uses prime 31. + +Those inverse matrices are metadata and later code requirements. They +are not native instructions in the word checked here. This review does +not turn division by five, seven, or 31 into a dyadic scalar primitive. +It does not prove the retained-grid conversion, a denominator-height +bound, legal access for the inverse queries and scatters, or the final +conversion. + +The rank-sixteen opportunity changes two restrictions. It uses an inverse +with a nonzero diagonal as a later scalar code, and it permits the odd +denominators needed by that code. Odd denominators alone do not defeat +the earlier reciprocal zero-diagonal rank-two obstruction. + +Recursive child hosting, productive helper progress, the full precision +bound, stage access, terminal removal, and the complete supplier remain +open. The selected frontier and the complete kappa calculation do not +change as a result of this local review. + +## Reproduction + +First reproduce the base native review. Then run, from the workspace +root: + +```text +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_extensions.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -O -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_extensions.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-optimized +``` + +The expected final line is: + +```text +PASS_INDEPENDENT_NATIVE_EXTENSIONS +``` + +Both final runs passed, with byte-identical result and input receipts. +The extension review freeze records that comparison and the final input +hash check. All producer and base-review bytes are +preserved. The source packets retain credit for the response, cyclic +flags, pair factors, and phase construction. AI assistance was used. + +No PR, push, commit, or publication is authorized. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REPRODUCTION.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REPRODUCTION.json new file mode 100644 index 0000000000..f19774d033 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REPRODUCTION.json @@ -0,0 +1,8 @@ +{ + "normal_optimized_byte_identical": { + "INPUTS.json": "8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90", + "REVIEW.json": "ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6" + }, + "source_files_rechecked": 20, + "status": "PASS" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REVIEW-FREEZE.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REVIEW-FREEZE.json new file mode 100644 index 0000000000..05fc30b335 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REVIEW-FREEZE.json @@ -0,0 +1,14 @@ +{ + "files": { + "NATIVE-REPRODUCTION.json": "57e3b9367f31183f95a66c9ff8c41350dbbe5d771f97a69b71654e42ce045b0c", + "REVIEW.md": "2ef8464d4f8b4867dfacdc7515285d690eb84adc299b7d7ebd1ce46ede1c7b29", + "check_native.py": "e397b24015a75b61b71562560d82db22dd02c754840a35d2b74fc668180a2a56", + "normal/INPUTS.json": "8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90", + "normal/REVIEW.json": "ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6", + "optimized/INPUTS.json": "8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90", + "optimized/REVIEW.json": "ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6" + }, + "publication": "No PR, push, commit, or publication.", + "scope": "Exact local native data word and phases. No productive helper progress, recursive host, routed inverse code, terminal, or complete supplier claim.", + "status": "FROZEN_INDEPENDENT_NATIVE_RANK30" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/REVIEW.md new file mode 100644 index 0000000000..affe6325a2 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/REVIEW.md @@ -0,0 +1,193 @@ +# Independent native review of the rank-thirty data word + +The literal native word passes the independent physical checks. It +implements the declared local response on all 640 input roles. Every one +of its 1141 distinct native edges and 224 endpoint adapters passes an +exact check on all 512 spatial input columns, including global phase. +The local invoice is 1792 native mass, 1212 native children, and 5288 real +scalar primitives in each direction. + +This is a local data operation. It does not provide productive progress +for the 416 other live roles, a recursive host, a routed inverse code, a +terminal construction, or a complete supplier bound. + +## Sources and separate review + +The consumed +[native freeze](../../new-core-transfer-20261017/low-displacement-20261020/NATIVE-FREEZE.json) +has SHA256 +`efdf8acc943934e83374f986a4a9a6f49ab7607a4f4e8d2973ec71cd5e1c5e24`. +The decompressed payload hash is +`e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558`. +The reviewer uses only the final `native-normal-v2` payload. It does not +use an earlier draft. + +The +[matrix and common-frame scalar review](../../independent-review-20261017/rank-thirty-review-20261020/FREEZE.json) +has SHA256 +`15c54c0f0d0f33bdcf420a4c7610d55fff6104fe22d2c4ade8ae9255a3ff8189`. +It owns the matrix factorization, correction rank, inverses, clique +census, and common-frame scalar codes. This review binds the literal +native program to that exact response. It does not repeat those matrix +proofs. In particular, its scalar invoice is the complete native word's +invoice, not the separate common-frame code invoice. + +The physical interpreter is the +[independent sparse Gaussian interpreter](../isotropic-pair-review-20261018/check.py), +at SHA256 +`e428f575ad93a8ade3a92b641a2b5eef111519f03ba5cceca4cd4957f008ba18`. +The reviewer does not import the producer, its Clifford compiler, or its +Pauli/state checker. All consumed source hashes are in +`normal/INPUTS.json`. + +## Exact edge theorem and phase check + +Let \(T_f\) denote the canonical operator built from the literal ordered +basis of frame \(f\). Let \(R\) denote an emitted recipe for a declared +edge \(a\longrightarrow b\). The reviewer checks + +\[ + R T_a=T_b +\] + +on all 512 spatial basis vectors. Since \(T_a\) is unitary, this is +equivalent to \(R=T_bT_a^{-1}\). The check does not replace an ordered +basis by another basis of the same space. It also does not infer the +phase from a rank or from a symplectic matrix. + +The interpreter uses integer real and imaginary coefficients with +powers of two as denominators. It applies the literal affine maps, +quadratic phases, fourth-root phases, and coordinate C gates. It compares +the complete output coefficient dictionaries. This fixes global phase. +The output support is also checked against \(2^{\dim b}\) in the displayed +identity. + +For a source endpoint with physical convention \(Q_p=C_{q_p}\), the +adapter check is + +\[ + A_p Q_p=T_{\mathrm{line}(q_p)}. +\] + +For a target endpoint, it is + +\[ + A_p F_9Q_p^{-1}=T_{\mathrm{hole}(q_p)}. +\] + +Thus the target uses the inverse of its stored adapter at exit. All 224 +adapters are rank zero, each with one explicit monomial map. + +The 1365 checks cover 698880 spatial columns and 69706752 exact nonzero +coefficients. A wrong fourth-root global phase is rejected. The check +uses no floating-point arithmetic and no sampled input vectors. + +Under the inherited columnwise tensor model, the complete one-column +identity extends to every field width. Constant phases must tensor with +the operator; a phase \(i^c\) in each of \(f\) columns gives \(i^{cf}\). +The local test does not replace that factor by a width-independent phase. +All primitive C kernels and monomial maps have Gaussian-dyadic entries. +This fact does not supply a recursive implementation or its workspace. + +## Complete literal word + +The physical input is \(X_p=Q_px_p,\ Y_p=y_p\). The physical output is + +\[ + X_p=F_9x'_p,\qquad Y_p=F_9Q_p^{-1}y'_p. +\] + +The two logical maps are + +\[ + F:(x,y,h)\longmapsto(x,y+Ex,h),\qquad + B:(x,y,h)\longmapsto(x-E^{\mathsf T}y,y,h). +\] + +The backward response uses the transpose, not the inverse. +No scalar response is moved through \(Q\). + +The reviewer tracks each role's actual frame at every event. Each +native edge is strictly nested, and its positive rank equals the +difference in the two frame dimensions. Each scalar ADD has exactly +equal source and target frame IDs. All declared frame bases are +independent. Each source starts at its actual line, and each target ends +at its actual perpendicular hole. + +These checks give a direct induction. If a physical role is \(T_av\), +the checked edge changes it to \(T_bv\). An equal-frame scalar ADD changes +the logical contents by the same scalar ADD. The endpoint checks give +the displayed physical conventions. + +A separate reverse propagation computes the complete scalar map. +For \(t\leftarrow t+cs\), an output coefficient at \(t\) contributes \(c\) +times that coefficient at \(s\). This proves all 640 columns at once. +The two providers' complete serialized words are equal, and their +actual port directions agree. Both directions are checked. These +checks therefore cover all four provider/direction uses. + +Every operation reads or writes only the 224 data roles. The 416 +remaining roles are arbitrary and unchanged, with their input frames +retained. There is no owned field, private field, CLEAR, or hidden source. +The actual transfer metadata selects the claimed ADD event. Removing a +nonzero transfer changes the complete response and is rejected. + +## Invoice and scope + +| Rank | Child count | +| --- | ---: | +| 1 | 1036 | +| 3 | 48 | +| 4 | 55 | +| 5 | 55 | +| 6 | 9 | +| 7 | 9 | + +There are 1212 children and native mass 1792. Each X role advances from +dimension one to dimension nine, and each Y role advances from dimension +zero to dimension eight. Since all edges are nested, the rank sums +telescope to eight per role. This explains the total mass but does not +make different child profiles have the same recursive price. + +There are 224 external endpoint maps and at most 2424 native side maps. +The complete scalar bill is 5288 real primitives. The reviewer sums the +accepted cost of every literal dyadic ADD and unit scale. + +At top-level operation boundaries, each forward array has norm at most +46 times the maximum input-array norm. The backward bound is 30. +The reviewer computes the exact prefix row absolute sums. These bounds +do not cover scalar primitive internals or recursive child internals. + +At the level of the literal word, there is no borrowed-state restoration +debt because those roles are never accessed. The word also makes no +productive progress on them. +That distinction is required before this word can replace an actual +supplier component. Recursive child hosting, complete precision, +routed controller access, and terminal work remain separate obligations. +The selected frontier and the complete kappa calculation do not change +as a result of this review. + +## Reproduction + +From the workspace root: + +```text +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_native.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/normal +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -O -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_native.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/low-displacement-review-20261020/optimized +``` + +The expected final line is: + +```text +PASS_INDEPENDENT_FULL_NATIVE_RANK30 +``` + +Both final runs passed. Their review and input receipts are byte-identical. +The native review freeze records the two-mode comparison and the final +input hash check. All source files remain unchanged. AI assistance was used. +The response, cyclic flag, pair-code, and native phase predecessors keep +the credit given in their pinned source packets. + +No PR, push, commit, or publication is authorized. Before any future PR +description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_extensions.py b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_extensions.py new file mode 100644 index 0000000000..33c667c847 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_extensions.py @@ -0,0 +1,158 @@ +#!/usr/bin/env python3 +"""Check exact path reuse and the fresh native edges in the frozen extensions.""" +from hashlib import sha256 +from pathlib import Path +from fractions import Fraction as F +import argparse +import importlib.util +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SOURCE = LANES/'new-core-transfer-20261017/low-displacement-20261020' + + +def load(name, path, pin): + if sha256(path.read_bytes()).hexdigest() != pin: + raise ValueError('Independent interpreter pin: '+str(path)) + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=True) + review = load('rank30_native_review', HERE/'check_native.py', + 'e397b24015a75b61b71562560d82db22dd02c754840a35d2b74fc668180a2a56') + need = review.need + review.read(HERE/'check_native.py', + 'e397b24015a75b61b71562560d82db22dd02c754840a35d2b74fc668180a2a56') + review.frozen(HERE, 'NATIVE-REVIEW-FREEZE.json', + 'cfdc4fa0361aa79c1d53a59ff48bdde1715ea8e3eb6b9efbc109c97bcc44a976') + review.frozen(LANES/'independent-review-20261017/response-extensions-review-20261020', + 'FREEZE.json', '1c20e6736b1109ce10746472d3e00d464d5ea2629fe30c37a9d51bd5b74feedc') + base_receipts = { + 'REVIEW.json': 'ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6', + 'INPUTS.json': '8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90', + } + for name, digest in base_receipts.items(): + a = (HERE/'normal'/name).read_bytes() + b = (HERE/'optimized'/name).read_bytes() + need(a == b, 'Completed independent base runs agree') + review.read(HERE/'normal'/name, digest) + review.read(HERE/'optimized'/name, digest) + checked = json.loads((HERE/'normal/REVIEW.json').read_text()) + need(checked['status'] == 'PASS_INDEPENDENT_FULL_NATIVE_RANK30' + and len(checked['native_phase_checks']) == 1141 + and len(checked['endpoint_phase_checks']) == 224, 'Complete base phase dependency') + review.frozen(SOURCE, 'EXTENSIONS-FREEZE.json', + 'aec99dd0638e635619b14ffd056ab2581424d765d435462aed94b8c8f882a689') + raw = json.loads(review.read(SOURCE/'native-normal-v2/NATIVE-PROGRAM.json.gz', + 'e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558', True)) + base = raw['providers']['base']['forward'] + known = {} + for key, record in base['native_recipes'].items(): + before, after = map(int, key.split(':')) + pair = tuple(base['frames'][before]), tuple(base['frames'][after]) + need(pair not in known or known[pair] == record, 'Unambiguous base physical edge') + known[pair] = record + phase_path = HERE.parent/'isotropic-pair-review-20261018/check.py' + phase_pin = 'e428f575ad93a8ade3a92b641a2b5eef111519f03ba5cceca4cd4957f008ba18' + review.read(phase_path, phase_pin) + phase = load('full_spatial_extension_review', phase_path, phase_pin) + pins = { + 'reciprocal-large': ('reciprocal-normal-v2', 'e4df61bf4e121364ba53538eb2ad612bd314807cfb2050050d4595efce9cf416'), + 'odd-grid-rank16': ('odd16-normal-v2', 'd466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4'), + } + reports = {} + for kind, (directory, digest) in pins.items(): + data = json.loads(review.read(SOURCE/directory/'EXTENSION-PROGRAM.json.gz', digest, True)) + need(data['kind'] == kind and set(data['providers']) == {'base', 'extra'}, 'Exact extension family') + need(data['providers']['base'] == data['providers']['extra'], 'Both provider words are byte-equal') + words = data['providers']['base'] + need(set(words) == {'forward', 'backward'}, 'Both extension directions') + word = words['forward'] + ports = data['model']['ports'] + frames = word['frames'] + response = [{int(k): F(v) for k, v in row.items()} for row in data['model']['response']] + need(data['model']['selected_ports'] == raw['selected_ports'], 'Actual selected partition') + per_word, used = {}, set() + for direction, current in words.items(): + need(current['frames'] == frames and current['native_recipes'] == word['native_recipes'], + 'Directions share exact native phase geometry') + need(current['start'] == base['start'] and current['final'] == base['final'] + and current['endpoint_adapters'] == base['endpoint_adapters'], + 'Exact retained endpoint arrays and adapters') + for index in set(current['start']+current['final']): + need(frames[index] == base['frames'][index], 'Exact ordered endpoint frame basis') + report, edges = review.ledger(current, ports, response, direction) + want = ({1: 1036, 3: 48, 4: 55, 5: 55, 6: 9, 7: 9} + if kind == 'reciprocal-large' else {1: 1520, 2: 64, 3: 48}) + need(report['native_profile'] == want and report['native_mass'] == 1792, + 'Complete extension native invoice') + need(report['real_scalar_primitives'] == (5288 if kind == 'reciprocal-large' else 7384), + 'Complete extension scalar invoice') + wanted_bound = ('30' if direction == 'forward' else '46') if kind == 'reciprocal-large' else '22' + need(report['top_level_array_norm_bound'] == wanted_bound, 'Complete extension prefix bound') + if kind == 'reciprocal-large': + old = raw['providers']['base'][direction] + need(current['frames'] == old['frames'] + and current['native_recipes'] == old['native_recipes'], + 'Reciprocal geometry and recipes are byte-equal') + need([e for e in current['events'] if e[0] == 'native'] == + [e for e in old['events'] if e[0] == 'native'], + 'Reciprocal native occurrence sequence is byte-equal') + per_word[direction] = report + used |= edges + need(used == set(word['native_recipes']), 'All and only the emitted extension recipes are checked') + inherited, fresh = [], [] + frame_cache = {} + + def frame(index): + if index not in frame_cache: + frame_cache[index] = phase.canonical(frames[index]) + return frame_cache[index] + + for key, record in word['native_recipes'].items(): + before, after = map(int, key.split(':')) + pair = tuple(frames[before]), tuple(frames[after]) + if pair in known: + need(record == known[pair], 'Exact inherited recipe at the same ordered frame pair') + inherited.append(key) + continue + result = phase.compare(frame(before)+phase.recipe(record), frame(after), + kind+' native '+key, 1 << len(frames[after])) + fresh.append({'edge': key, 'rank': record['rank'], **result}) + if len(fresh) % 40 == 0: + print('Independent fresh extension edges', kind, len(fresh), flush=True) + need((len(inherited), len(fresh)) == ((1141, 0) if kind == 'reciprocal-large' else (685, 876)), + 'Exact inherited and fresh phase counts') + for direction, current in words.items(): + missing = list(current['events']) + del missing[current['transfer_records'][0]['event']] + need(review.reverse(missing) != review.response_columns(response, direction), + 'An omitted transfer changes the full extension response') + reports[kind] = { + 'literal_words': per_word, 'both_providers': ['base', 'extra'], + 'exact_inherited_frame_pairs': inherited, 'fresh_native_phase_checks': fresh, + 'inherited_endpoints': 224, 'owned_fields': 0, 'private_fields': 0, + 'untouched_arbitrary_roles': 416, + 'inverse_grid_implementation': 'Not supplied or priced by this native review.', + } + print('Literal extension', kind, 'PASS', flush=True) + output = { + 'status': 'PASS_INDEPENDENT_NATIVE_EXTENSIONS', + 'extensions': reports, 'spatial_columns_per_fresh_edge': 512, + 'scope': 'Complete local native data responses and physical phases. Matrix and inverse-code claims require their separate reviews. No odd-grid implementation, productive helper progress, recursive host, stage or terminal construction, or full supplier claim.', + } + for name, value in (('EXTENSIONS-REVIEW.json', output), ('EXTENSIONS-INPUTS.json', review.INPUTS)): + (args.out/name).write_text(json.dumps(value, indent=2, sort_keys=True)+'\n') + print(output['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_native.py b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_native.py new file mode 100644 index 0000000000..d8a4b0dd76 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/check_native.py @@ -0,0 +1,268 @@ +#!/usr/bin/env python3 +"""Check all native edges, endpoint phases, and complete literal data words.""" +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SOURCE = LANES/'new-core-transfer-20261017/low-displacement-20261020' +PEER = LANES/'independent-review-20261017/rank-thirty-review-20261020' +INPUTS = {} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def read(path, pin=None, compressed=False): + data = path.read_bytes() + digest = sha256(data).hexdigest() + content = gzip.decompress(data) if compressed else data + need(pin is None or sha256(content).hexdigest() == pin, 'Input pin: '+str(path)) + INPUTS[str(path.relative_to(LANES))] = {'sha256': digest} + if compressed: + INPUTS[str(path.relative_to(LANES))]['decompressed_sha256'] = sha256(content).hexdigest() + return content + + +def frozen(path, name, pin): + record = json.loads(read(path/name, pin)) + for file, digest in record['files'].items(): + read(path/file, digest) + return record + + +def add(target, source, coefficient): + for key, value in source.items(): + result = target.get(key, F(0))+coefficient*value + if result: + target[key] = result + else: + target.pop(key, None) + + +def span(vectors): + result = {0} + for vector in vectors: + result |= {x ^ vector for x in result} + return result + + +def reverse(events): + """Return the full map by reverse propagation of output coefficients.""" + columns = [{i: F(1)} for i in range(640)] + for event in reversed(events): + if event[0] != 'scalar': + continue + op, target, origin, coefficient = event[1] + c = F(coefficient) + if op == 'scale': + columns[target] = {j: c*v for j, v in columns[target].items()} + else: + need(op == 'add' and target != origin, 'Scalar grammar') + add(columns[origin], columns[target], c) + return columns + + +def response_columns(response, direction): + columns = [{i: F(1)} for i in range(640)] + for target, row in enumerate(response): + for origin, coefficient in row.items(): + if direction == 'forward': + add(columns[origin], {112+target: coefficient}, F(1)) + else: + add(columns[112+target], {origin: -coefficient}, F(1)) + return columns + + +def scalar_price(events): + count = 0 + for event in events: + if event[0] != 'scalar': + continue + op, _, _, value = event[1] + c = F(value) + n, d = abs(c.numerator), c.denominator + need(n > 0 and d & (d-1) == 0, 'Nonzero dyadic scalar coefficient') + if op == 'scale': + need(n & (n-1) == 0, 'Dyadic unit scale') + count += 2*(abs(n.bit_length()-d.bit_length())+(c < 0)) + else: + count += 2*(3+n.bit_length()-1+n.bit_count()+d.bit_length()-1) + return count + + +def ledger(word, ports, response, direction): + current = list(word['start']) + frames = word['frames'] + spaces = [span(basis) for basis in frames] + need(len(current) == len(word['final']) == 640, 'Exactly 640 live roles') + need(all(len(s) == 1 << len(b) and all(0 <= x < 512 for x in s) + for s, b in zip(spaces, frames)), 'Independent literal frame bases') + for p, q in enumerate(ports): + need(spaces[current[p]] == {0, q} and spaces[current[112+p]] == {0}, + 'Actual physical source line and target I') + need(len(spaces[word['final'][p]]) == 512, 'Final X is FULL') + need(spaces[word['final'][112+p]] == + {x for x in range(512) if (x & q).bit_count() % 2 == 0}, + 'Final Y is the actual q hole') + used = set() + prefix_rows = [{i: F(1)} for i in range(224)] + maximum = F(1) + for event in word['events']: + if event[0] == 'native': + _, target, before, after, rank, key = event + need(0 <= target < 224 and current[target] == before, 'Actual native source role and frame') + need(spaces[before] < spaces[after], 'Strictly nested native frame') + need(rank == len(frames[after])-len(frames[before]) + == word['native_recipes'][key]['rank'], 'Native rank and dimension difference') + need(key == str(before)+':'+str(after), 'Native occurrence has the exact edge key') + current[target] = after + used.add(key) + else: + need(event[0] == 'scalar', 'No hidden operation') + gate, frame = event[1:] + op, target, origin, coefficient = gate + need(0 <= target < 224 and current[target] == frame, 'Scalar target has the declared frame') + c = F(coefficient) + if op == 'scale': + need(origin is None, 'Scale has no hidden source') + prefix_rows[target] = {j: c*v for j, v in prefix_rows[target].items()} + else: + need(op == 'add' and 0 <= origin < 224 and origin != target + and current[origin] == frame, 'Scalar source has the same actual frame') + add(prefix_rows[target], prefix_rows[origin], c) + maximum = max(maximum, sum(abs(v) for v in prefix_rows[target].values())) + need(current == word['final'], 'Every final frame') + need(current[224:] == word['start'][224:], 'All 416 other roles remain in their input frame') + need(reverse(word['events']) == response_columns(response, direction), 'All 640 reverse columns') + profile = Counter(e[4] for e in word['events'] if e[0] == 'native') + for transfer in word['transfer_records']: + event = word['events'][transfer['event']] + need(event[0] == 'scalar' and event[1][0] == 'add' + and event[1][-1] == transfer['coefficient'], 'Transfer metadata selects the actual ADD') + return { + 'all_input_columns': 640, 'untouched_arbitrary_roles': 416, + 'owned_fields': 0, 'private_fields': 0, 'used_native_edges': len(used), + 'native_profile': dict(sorted(profile.items())), + 'native_mass': sum(rank*count for rank, count in profile.items()), + 'native_children': sum(profile.values()), 'real_scalar_primitives': scalar_price(word['events']), + 'top_level_array_norm_bound': str(maximum), + }, used + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=True) + frozen(SOURCE, 'NATIVE-FREEZE.json', + 'efdf8acc943934e83374f986a4a9a6f49ab7607a4f4e8d2973ec71cd5e1c5e24') + frozen(SOURCE, 'RESPONSE-FREEZE.json', + '59e43eb802114070aa40b39a7e355b3271a744b713a32c5a3e09c2e46ec7fdc9') + frozen(PEER, 'FREEZE.json', + '15c54c0f0d0f33bdcf420a4c7610d55fff6104fe22d2c4ade8ae9255a3ff8189') + payload = json.loads(read(SOURCE/'native-normal-v2/NATIVE-PROGRAM.json.gz', + 'e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558', True)) + for relative, (mode, pin) in payload['source_pins'].items(): + read(LANES/relative, pin, mode == 'decompressed') + cyclic = json.loads(read(LANES/'independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json', + '3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585')) + core = json.loads(read(LANES/'new-core-transfer-20261017/CLEAN-J-PROGRAMS.json.gz', + 'a6c5dc63a47c1fdb0a97314a3b8541035f507beccb1029762f703039465187fa', True)) + model = json.loads(read(SOURCE/'run-normal/RESPONSE-PROGRAM.json', + '5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c')) + need(payload['response'] == model['response'], 'Exact matrix-layer response') + ports = cyclic['ports'] + need(all(p['canonical']['ports'] == ports for p in core['providers'].values()), + 'Both actual providers have the same port labels') + interpreter = HERE.parent/'isotropic-pair-review-20261018/check.py' + read(interpreter, 'e428f575ad93a8ade3a92b641a2b5eef111519f03ba5cceca4cd4957f008ba18') + spec = importlib.util.spec_from_file_location('spatial_native_review', interpreter) + phase = importlib.util.module_from_spec(spec) + spec.loader.exec_module(phase) + need(set(payload['providers']) == {'base', 'extra'}, 'Both providers') + need(payload['providers']['base'] == payload['providers']['extra'], 'Byte-equal provider words') + words = payload['providers']['base'] + need(set(words) == {'forward', 'backward'}, 'Both directions') + first = words['forward'] + for word in words.values(): + need(word['frames'] == first['frames'] and word['native_recipes'] == first['native_recipes'] + and word['endpoint_adapters'] == first['endpoint_adapters'], 'One exact native geometry') + need(word['start'] == cyclic['start'] and word['final'] == cyclic['final'], + 'Exact inherited input and output frame declarations') + frame_cache = {} + + def frame(index): + if index not in frame_cache: + frame_cache[index] = phase.canonical(first['frames'][index]) + return frame_cache[index] + + response = [{int(k): F(v) for k, v in row.items()} for row in payload['response']] + reports, union = {}, set() + for direction, word in words.items(): + report, used = ledger(word, ports, response, direction) + need(report['native_profile'] == {1: 1036, 3: 48, 4: 55, 5: 55, 6: 9, 7: 9}, + 'Complete declared native profile') + need(report['native_mass'] == 1792 and report['native_children'] == 1212 + and report['real_scalar_primitives'] == 5288, 'Complete local invoice') + need(report['top_level_array_norm_bound'] == ('46' if direction == 'forward' else '30'), + 'Exact top-level prefix bound') + reports[direction] = report + union |= used + need(union == set(first['native_recipes']) and len(union) == 1141, + 'Every fresh recipe is used and every used edge is checked') + phases = [] + for i, (key, record) in enumerate(first['native_recipes'].items(), 1): + before, after = map(int, key.split(':')) + result = phase.compare(frame(before)+phase.recipe(record), frame(after), + 'Native '+key, 1 << len(first['frames'][after])) + phases.append({'edge': key, 'rank': record['rank'], **result}) + if i % 40 == 0: + print('Independent full native columns', i, '/ 1141', flush=True) + endpoints = first['endpoint_adapters'] + need(len(endpoints) == 224 and {(r['port'], r['role']) for r in endpoints} == + {(p, role) for p in range(112) for role in ('source', 'target')}, 'All 224 endpoints') + endpoint_checks = [] + full = [('C', 1 << j, 1) for j in range(9)] + for i, record in enumerate(endpoints, 1): + p, role = record['port'], record['role'] + target_frame = first['start'][p] if role == 'source' else first['final'][112+p] + need(record['rank'] == 0 and record['right'] is None and record['frame'] == target_frame, + 'One explicit endpoint monomial with the actual endpoint frame') + conventional = [('C', ports[p], 1)] if role == 'source' else [('C', ports[p], -1)]+full + result = phase.compare(conventional+phase.recipe(record), frame(target_frame), + 'Endpoint '+role+' '+str(p), 1 << len(first['frames'][target_frame])) + endpoint_checks.append({'port': p, 'role': role, **result}) + if i % 32 == 0: + print('Independent full endpoint columns', i, '/ 224', flush=True) + key = next(iter(first['native_recipes'])) + before, after = map(int, key.split(':')) + bad = frame(before)+phase.recipe(first['native_recipes'][key])+phase.compile_circuit([['phase', 1]]) + need(phase.run(bad, 0) != phase.run(frame(after), 0), 'Wrong global phase control') + missing = list(first['events']) + del missing[first['transfer_records'][0]['event']] + need(reverse(missing) != response_columns(response, 'forward'), 'Missing transfer control') + result = { + 'status': 'PASS_INDEPENDENT_FULL_NATIVE_RANK30', + 'literal_words': reports, 'providers_share_exact_words': ['base', 'extra'], + 'native_phase_checks': phases, 'endpoint_phase_checks': endpoint_checks, + 'native_edges': 1141, 'endpoint_maps': 224, 'spatial_columns_per_check': 512, + 'negative_controls': ['wrong global phase', 'one omitted nonzero transfer'], + 'matrix_layer_review': 'independent-review-20261017/rank-thirty-review-20261020/FREEZE.json', + 'scope': 'Complete local data maps and physical phases. No productive helper progress, recursive host, routed inverse code, terminal decoder, or complete supplier claim.', + } + for name, value in (('REVIEW.json', result), ('INPUTS.json', INPUTS)): + (args.out/name).write_text(json.dumps(value, indent=2, sort_keys=True)+'\n') + print(result['status'], flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-INPUTS.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-INPUTS.json new file mode 100644 index 0000000000..8e38cab0a9 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-INPUTS.json @@ -0,0 +1,74 @@ +{ + "independent-review-20261017/response-extensions-review-20261020/CHECKS.json": { + "sha256": "e2660de3472640fb41c673761df58f251f720f988bec4e2fab6b3871b4d29a3a" + }, + "independent-review-20261017/response-extensions-review-20261020/FREEZE.json": { + "sha256": "1c20e6736b1109ce10746472d3e00d464d5ea2629fe30c37a9d51bd5b74feedc" + }, + "independent-review-20261017/response-extensions-review-20261020/REPRODUCTION.json": { + "sha256": "39c6300f307be4edf100a0ad53ca163f6d28ca0f01f51fce65ab5b200c09b731" + }, + "independent-review-20261017/response-extensions-review-20261020/REVIEW.md": { + "sha256": "ab9192c4e9a6cec5a864189bd24a4f208a9242c55c5a6a329b4f4e3e25edb8b7" + }, + "independent-review-20261017/response-extensions-review-20261020/check_extensions.py": { + "sha256": "97e6c35e916b3cc6b4512e82b554ca33189fe91c89d00a269cf83719f61a073c" + }, + "new-core-transfer-20261017/low-displacement-20261020/EXTENSIONS-FREEZE.json": { + "sha256": "aec99dd0638e635619b14ffd056ab2581424d765d435462aed94b8c8f882a689" + }, + "new-core-transfer-20261017/low-displacement-20261020/EXTENSIONS.md": { + "sha256": "2328ec60c1cf89efe7661b3696839f8eb32a95e11c67a62dd653781a8b0ed5fb" + }, + "new-core-transfer-20261017/low-displacement-20261020/NATIVE-FREEZE.json": { + "sha256": "efdf8acc943934e83374f986a4a9a6f49ab7607a4f4e8d2973ec71cd5e1c5e24" + }, + "new-core-transfer-20261017/low-displacement-20261020/emit_followthrough.py": { + "sha256": "b03568530696ab810070ba3243b59dd74740fb634fe7f26b2cbdb1d3283d045f" + }, + "new-core-transfer-20261017/low-displacement-20261020/native-normal-v2/NATIVE-PROGRAM.json.gz": { + "decompressed_sha256": "e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558", + "sha256": "aca3b3364b73e3c2115ede3082088e7566d789273711031381e44406c0ae793c" + }, + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-CHECKS.json": { + "sha256": "a502af8c80df714e4d06012bedba0433f977a402c1093e210c0cb28cb4044197" + }, + "new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz": { + "decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "sha256": "7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b" + }, + "new-core-transfer-20261017/low-displacement-20261020/reciprocal-normal-v2/EXTENSION-CHECKS.json": { + "sha256": "cfea59ca775a7350c2e9bcded1c52f2f19df12465f6d8736fd2a907599839adc" + }, + "new-core-transfer-20261017/low-displacement-20261020/reciprocal-normal-v2/EXTENSION-PROGRAM.json.gz": { + "decompressed_sha256": "e4df61bf4e121364ba53538eb2ad612bd314807cfb2050050d4595efce9cf416", + "sha256": "825f27e5b3705dace14c75ae53aa21ea94b9dc69284bbdbd3377591fbcce7439" + }, + "new-native-recipes-20261017/isotropic-pair-review-20261018/check.py": { + "sha256": "e428f575ad93a8ade3a92b641a2b5eef111519f03ba5cceca4cd4957f008ba18" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REPRODUCTION.json": { + "sha256": "57e3b9367f31183f95a66c9ff8c41350dbbe5d771f97a69b71654e42ce045b0c" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/NATIVE-REVIEW-FREEZE.json": { + "sha256": "cfdc4fa0361aa79c1d53a59ff48bdde1715ea8e3eb6b9efbc109c97bcc44a976" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/REVIEW.md": { + "sha256": "2ef8464d4f8b4867dfacdc7515285d690eb84adc299b7d7ebd1ce46ede1c7b29" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/check_native.py": { + "sha256": "e397b24015a75b61b71562560d82db22dd02c754840a35d2b74fc668180a2a56" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/normal/INPUTS.json": { + "sha256": "8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/normal/REVIEW.json": { + "sha256": "ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/optimized/INPUTS.json": { + "sha256": "8729c993a8eac3ed60b96c414160a4be8be33fb013905942ca9bdf61df728d90" + }, + "new-native-recipes-20261017/low-displacement-review-20261020/optimized/REVIEW.json": { + "sha256": "ea1674fbd0549cbf9161f1754a9dc0cb76d9c257ef295b391da9271df91a1aa6" + } +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-REVIEW.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-REVIEW.json new file mode 100644 index 0000000000..d25caa171b --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/low-displacement-review-20261020/extensions-normal/EXTENSIONS-REVIEW.json @@ -0,0 +1,8068 @@ +{ + "extensions": { + "odd-grid-rank16": { + "both_providers": [ + "base", + "extra" + ], + "exact_inherited_frame_pairs": [ + "0:10", + "0:100", + "0:102", + "0:103", + "0:104", + "0:105", + "0:109", + "0:110", 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"providers_share_exact_words": [ + "base", + "extra" + ], + "scope": "Complete local data maps and physical phases. No productive helper progress, recursive host, routed inverse code, terminal decoder, or complete supplier claim.", + "spatial_columns_per_check": 512, + "status": "PASS_INDEPENDENT_FULL_NATIVE_RANK30" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/DERIVATION.md b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/DERIVATION.md new file mode 100644 index 0000000000..64df4c61d3 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/DERIVATION.md @@ -0,0 +1,98 @@ +# Independent derivation of the selected-row service + +This derivation precedes the review of the emitted word. It gives the +map that the word must implement. It does not certify that word. + +Let V have r independent rows. Let P be an ordered set of r ports, +and let V_P be the square submatrix on those columns. Assume V_P is +invertible. Put W=V_P^{-1}V. Then W_P=I. + +Define C to have rows W on P and identity rows on the other ports. +If B=W-pi_P, where pi_P selects P, then + +\[ +C=I+\iota_P B,\qquad B\iota_P=0,\qquad +C^{-1}=I-\iota_P B. +\] + +Here iota_P inserts r coordinates at P. Thus C is a shear. Its +determinant is one. If W is dyadic, both C and its inverse are dyadic. +Every addition uses an unchanged coordinate outside P. No extra field +or zero-input assumption is needed. Reversing the literal additions +gives the inverse. + +The row code is independent of the basis used for the row space of V. +Replacing V by A V, for any invertible A, leaves W unchanged. + +For the present response E, direct normalization of the pinned V gives +eight rows of support 21 and eight rows of support 8. The first rows +have pivot coefficient 1 and twenty coefficients of magnitude 1/2. +The other rows have pivot coefficient 1 and seven coefficients 1. +The precode therefore has 216 complex additions, at 2048 old real +scalar units under the retained scalar invoice. + +These rows are left eigenvectors: + +\[ +WE=\Lambda W,\qquad +\Lambda=\operatorname{diag}(-5I_8,-7I_8). +\] + +Therefore the selected rows of CE are exactly Lambda W. Their direct +late additions cost 3696 old real scalar units. These are separate +costs; they do not include the retained core or the new native children. + +## Physical operation + +Use Q for the diagonal family of positive input line operators, +q=Q^{-1}, and F for the common full operator. The raw forward word has +physical contract + +\[ +(Qx,y)\longmapsto(Fx,Fq(y+Ex)). +\] + +Suppose the exact event list permits all operations on the selected +target fields to be removed. Every retained operation must have no +read from those fields. The source subsystem and the other targets +must retain their original event lists. + +Apply C to current input Y while all target fields have the I frame. +Apply F to each selected target. Run the retained source and ordinary +target operations. After all source fields have reached F, add +the selected rows of CE from those source fields to the selected +targets. The physical result is + +\[ +X'=Fx,\qquad +Y'_P=F[C(y+Ex)]_P,\qquad +Y'_R=F[q(y+Ex)]_R. +\] + +Scalar coefficients commute with the common F in the final query. +No step commutes C or E through Q. In particular, the precode acts +on the physical current-I target values. It does not act on a +changed logical frame. + +Write T for the output operator that is F on P and Fq on R. +Then the full target contract is T C(y+Ex), since C is identity +on the rows in R. This is an invertible output representation. +Its entry into a later word, inverse, final decode, and recursive +hosting require their own implementation and cost. + +## Required literal checks + +The review must check the selected set and every removed event. +It must reject a retained read of a removed target. It must check +the exact full-frame recipe, including its global phase, and all +inherited native records. It must check that every source has +reached the same F frame before the final query. + +The complete word must pass every arbitrary input column. The +unchanged helper fields must retain their arbitrary values. +The native and scalar invoice must include the precode, all retained +events, the sixteen full children, and the late query. + +No PR, push, commit, or publication is authorized. Before any future +PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/FREEZE.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/FREEZE.json new file mode 100644 index 0000000000..60530966a8 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/FREEZE.json @@ -0,0 +1,15 @@ +{ + "files": { + "DERIVATION.md": "74bfa14362b8a704d409cb3995fe645173e99205653528bcf6b47f62de7455a1", + "REPRODUCTION.json": "9525e5e1871d60a01c8acd222944abe6edab71f9d5448410265859dcece6901f", + "REVIEW.md": "39cb0df65e81f92854d0238d9023eaa092205bdce8e3b81724c2e4d19a3ef4f1", + "check.py": "5b8f2839db4fd4b0e4b24d5b8f8938c74a15497ae0e58f324896cf431d3ecb84", + "normal/INPUTS.json": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1", + "normal/REVIEW.json": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56", + "optimized/INPUTS.json": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1", + "optimized/REVIEW.json": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + }, + "publication": "No PR, push, commit, or publication.", + "scope": "Both complete local providers, direct-FULL refinement, exact physical phases, arbitrary inputs, and local invoice. No recursive hosting, later-stage conversion, full decoder, supplier, or kappa claim.", + "status": "PASS_INDEPENDENT_ROW_CAPTURE_NATIVE" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REPRODUCTION.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REPRODUCTION.json new file mode 100644 index 0000000000..b8d020d7f9 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REPRODUCTION.json @@ -0,0 +1,8 @@ +{ + "normal_optimized_byte_identical": { + "INPUTS.json": "d79a37765cffb8a31650c0b0bc4b57570004d9d5182c68f65915b1def3ac4af1", + "REVIEW.json": "e473e90dfb6fa588121f126b0d3f884ac1695ab58cebde8b768d494ba70d4e56" + }, + "source_files_rechecked": 44, + "status": "PASS" +} diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REVIEW.md b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REVIEW.md new file mode 100644 index 0000000000..8bdaaa327e --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/REVIEW.md @@ -0,0 +1,255 @@ +# Independent review of the selected-row native service + +The frozen word forms the sixteen centre rows of the actual rank16 +response in sixteen existing target fields. It preserves arbitrary +target baselines and all 416 fields outside the two data banks. +It uses no new field, private field, or odd-arithmetic scan. + +The local service and its direct-FULL refinement pass the independent +checks below. No material defect was found. The output representation +has changed. Its use by a complete recursive caller remains open. + +## Inputs and independent method + +The main producer +[freeze](../../new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/FREEZE.json) +has SHA256 +`5321a8ff856042c5ca30ce6b29b90a51ccd4dcf02317820243bfffbb433c84d8`. +Its decompressed payload SHA256 is +`7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2`. + +The separate direct-FULL +[freeze](../../new-core-transfer-20261017/low-displacement-20261020/row-only-capture-20261020/DIRECT-FULL-FREEZE.json) +has SHA256 +`f0d3b0d7c8d93e391089a2d28066dd02b4a9b28e306dea5f4e7cb5fc895b054e`. +Its decompressed payload SHA256 is +`fa3342f8b4ddf286f6f67922f4184486ec0162610e4de6a457de3eed0750504c`. + +The actual source word is the rank16 extension at decompressed SHA256 +`d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4`. +The controller's scalar +[freeze](../../controller-followthrough-20261017/row-capture-20261020/FREEZE.json) +has SHA256 +`0810ec37cb70d819a1d40f817476a41dd1151535309972af1b5b1db2bcb42baf`. + +The checker imports no producer code. It constructs the pivot inverse +from the exact signed Hadamard Gram matrix. It then constructs C, +its inverse, CE, and the encoded response independently. It checks +the scalar words by reverse output-column propagation. A separate +forward row pass checks the complete map and every scalar prefix. + +The physical phase interpreter is the pinned independent integer +Gaussian interpreter from the isotropic-pair review. It uses literal +address maps and exact Gaussian coefficients. It does not import +the producer's Clifford compiler or phase checker. + +## Exact code and physical contract + +The independent derivation is in [DERIVATION.md](DERIVATION.md). +Let \(E=I+UV\), and let P be the ordered set + +```text +0,27,36,111,20,7,57,46,1,3,6,8,17,18,24,23. +``` + +Put \(W=V_P^{-1}V\). The actual pivot Gram matrix is +\(\operatorname{diag}(2I_8,I_8)\). This gives a direct exact inverse +for \(V_P\), with both inverse orders checked. + +Define C to have rows W on P and identity rows elsewhere. The +correction \(C-I\) has square zero and rank sixteen. Thus + +\[ +C=I+\iota_P(W-\pi_P),\qquad +C^{-1}=I-\iota_P(W-\pi_P). +\] + +The checker verifies both matrix inverse orders and both literal +scalar inverse orders. The code and inverse are dyadic and each +cost 1760 old real scalar units. They need no extra field. + +The actual rows satisfy + +\[ +WE=\operatorname{diag}(-5I_8,-7I_8)W. +\] + +The selected rows of CE are therefore those same sixteen queries +with multipliers -5 or -7. The scalar late-query word adds these +rows to an arbitrary existing target value. It costs 3424 units. +It does not divide by five or seven. + +Write \(q=Q^{-1}\). For physical input \((Qx,y)\), the exact output is + +\[ +X'=F_9x,\qquad +Y'_P=F_9[C(y+Ex)]_P,\qquad +Y'_R=F_9[q(y+Ex)]_R. +\] + +The selected values include the arbitrary baseline \(Wy\). No +baseline is set to zero or removed from the output contract. +Equivalently, \(Y'=TC(y+Ex)\), where T is \(F_9\) on P and +\(F_9q\) on R. This is an invertible output representation. +No step commutes C or E through Q. + +## Complete operation order + +The checker derives the deletion from the original literal word. +It removes all events whose target is selected Y. For each provider, +this is exactly 128 H1 calls and 122 scalar events. Those scalar +events cost 928 units. + +Every retained event is inspected. No retained scalar event reads a +selected target. All retained events appear in their original order +and with their exact original bytes. Removing only one member of a +selected large pair fails the retained-read check. + +The new complete word has four stages: + +| Stage | Event interval, end excluded | Real scalar units | +| --- | --- | ---: | +| Current-I precode C | 0 to 232 | 1760 | +| Retained original word | 232 to 2622 | 6456 | +| Sixteen I-to-FULL children | 2622 to 2638 | 0 | +| Late common-FULL query | 2638 to 2886 | 3424 | + +Every source and selected target has frame FULL before the late +query. Every scalar addition has the same actual source and target +frame. All final frame declarations are checked. The 96 ordinary +target declarations are unchanged. The selected targets end in FULL. + +Both providers pass all 640 independent input columns. A separate +forward pass gives the same complete map. Every field numbered +224 through 639 retains its arbitrary input. No operation addresses +these fields. There is no CLEAR, hidden zero field, or new owned state. +Deleting the precode or late query is rejected by the full-column test. + +## Physical phases + +There are 1447 distinct retained native recipes. Each is byte equal +to the exact ordered frame pair in the already accepted rank16 word. +The inherited phase proof is pinned by +[the independent extension freeze](../low-displacement-review-20261020/EXTENSIONS-REVIEW-FREEZE.json), +at SHA256 +`c8fccfbe49ddd8747095a43aa1c1c59b0270bbbf73d94a317a79113191e4e34c`, +and its base native review. This review does not repeat that full +phase sweep. + +The new rank-nine recipe occurs sixteen times. The independent +interpreter checks all 512 spatial input columns against the exact +nine positive coordinate kernels. Every column has 512 exact +nonzero coefficients. The comparison includes the global phase. +A wrong global phase is rejected. + +All 112 source entry adapters are exact inherited records. The +96 ordinary outgoing adapters are new explicit inverse monomials. +For each, the checker composes it with the accepted incoming +target adapter in both orders. Every one of the 512 input columns +is exactly the identity in both orders. This proves the outgoing +map to \(F_9q_p\), including phase. + +No outgoing hole adapter is present on a selected target. Its +canonical FULL frame is exactly \(F_9\). These exact spatial +identities tensor to every width admitted by the retained primitive +contract. They are exact equalities, not equalities up to phase. + +The checker verifies the executed recipes. The producer's +descriptive compiler circuits are not executed by this review. +Their intended endpoint functions are checked through the exact +inverse-adapter identities above. + +## Direct-FULL refinement + +The accepted native recipe convention uses +\(C_{e_0}\cdots C_{e_{r-1}}\) between its two monomial maps. +At rank nine, this is already the required \(F_9\). Identity +left and right maps therefore suffice. + +The checker verifies that direct recipe on every spatial column. +It then compares both complete refined provider words with the +main packet. All events, frames, endpoint views, and matrices are +byte equal. Only the shared rank-nine recipe changes. Thus the +complete-word correctness proof transfers by exact substitution. +There is no need for a new logical-column replay of an unchanged +event list. + +The refinement removes the two nontrivial side maps from each of +the sixteen new calls. It does not change their sizes or number. +The native side-map upper bound drops from 3040 to 3008. + +## Complete local invoice and precision scope + +Each provider has the profile + +```text +1392 H1 + 64 H2 + 48 H3 + 16 H9. +``` + +This is 1520 recursive calls and native mass 1808. The complete +old scalar invoice is 11640. The direct refinement has 112 input +monomial views, 96 output monomial views, and at most 3008 native +side maps. It uses no odd-arithmetic scan or new field. + +The high-rank calls remain sixteen rank-nine calls. A complete +recurrence must use their exact sizes. Replacing their costs by +native mass alone is not a complete cost calculation. + +The exact content row one-norm over the entire emitted word is at +most 132. The additional content binary denominator height is one. +Both bounds include the precode and the late scaled queries. +Under the unitary native charts, the first bound also applies to +the per-field Hilbert norm at operation boundaries. + +These are local content bounds. They do not price primitive +internals, recursive-child guards, rounding error, outer owner +views, or the full numerical precision requirement. + +## Reuse and remaining scope + +The row-replacement argument is structural. If a forward word has +independent source progress, an isolated selected target set, and +an invertible row code that can be formed at the common input +frame, replace those target paths by frame advances and a late +coded response query. The output retains every arbitrary target +baseline. The present word verifies all these premises. + +The separate +[access packet](../../bridge-access-20261017/row-capture-access-20261020/FREEZE.json), +at SHA256 +`9d4eda12aa32eb11d97f6a9a88c691152a0c9580ea678cceaacae3d9b06c5b11`, +binds the construction to its literal D25 owner views. This review +pins that packet but does not rerun its phase census. + +That packet gives the next current-entry type as Q on selected +carriers and I elsewhere. This is not the old all-I target type. +A later caller must consume that type or implement its conversion. +No such conversion, final decoder, full controller, or recursive +host is included in the local invoice. + +This review establishes local centre formation in existing output +fields. It does not establish a complete supplier or a kappa +improvement. + +## Reproduction and credit + +Run from the workspace root: + +```text +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/normal +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 python3 -O -B work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/check.py --out work/centre-encoding-campaign-20261014/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/optimized +``` + +The required final line is `PASS_INDEPENDENT_ROW_CAPTURE_NATIVE`. +`REPRODUCTION.json` records the byte comparison and final source +hash checks. +Both runs completed with that result. Their result and input +receipts are byte identical. All 44 consumed source files were +rechecked and are unchanged. + +The producer proof records the source, cyclic, controller, and +bridge-access contributions. The independent review supplied the +direct-FULL identity-map deduction. AI assistance was used. +No PR, push, commit, or publication is authorized. Before any future +PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/check.py b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/check.py new file mode 100644 index 0000000000..6fa689d442 --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/check.py @@ -0,0 +1,450 @@ +#!/usr/bin/env python3 +"""Check the selected-row code and its complete native service.""" +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +INPUTS = {} +P = [0, 27, 36, 111, 20, 7, 57, 46, 1, 3, 6, 8, 17, 18, 24, 23] +RAW = LANES/'new-core-transfer-20261017/low-displacement-20261020' +ALG = LANES/'controller-followthrough-20261017/row-capture-20261020' +NATIVE = RAW/'row-only-capture-20261020' +ACCEPTED = LANES/'new-native-recipes-20261017/low-displacement-review-20261020' + + +def need(test, message): + if not test: + raise ValueError(message) + + +def read(path, pin=None, compressed=False): + data = path.read_bytes() + content = gzip.decompress(data) if compressed else data + need(pin is None or sha256(content).hexdigest() == pin, + 'Input pin: '+str(path)) + INPUTS[str(path.relative_to(LANES))] = {'sha256': sha256(data).hexdigest()} + if compressed: + INPUTS[str(path.relative_to(LANES))]['decompressed_sha256'] = sha256(content).hexdigest() + return content + + +def frozen(path, name, pin): + obj = json.loads(read(path/name, pin)) + for name, digest in obj['files'].items(): + read(path/name, digest) + return obj + + +def rows(value): + return [{int(k): F(v) for k, v in row.items() if F(v)} for row in value] + + +def unit(n): + return [{i: F(1)} for i in range(n)] + + +def add(target, source, coefficient=F(1)): + for key, value in source.items(): + x = target.get(key, F(0))+coefficient*value + if x: + target[key] = x + else: + target.pop(key, None) + + +def mul(a, b): + out = [] + for row in a: + result = {} + for k, v in row.items(): + add(result, b[k], v) + out.append(result) + return out + + +def rank(a): + pivots = {} + for original in a: + row = dict(original) + while row: + j = min(row) + if j not in pivots: + value = row[j] + pivots[j] = {k: v/value for k, v in row.items()} + break + add(row, pivots[j], -row[j]) + return len(pivots) + + +def transpose(a, n): + out = [{} for _ in range(n)] + for i, row in enumerate(a): + for j, v in row.items(): + out[j][i] = v + return out + + +def price(events): + total = 0 + for op, _, _, value in events: + c = F(value) + n, d = abs(c.numerator), c.denominator + need(n > 0 and d & (d-1) == 0, 'Nonzero dyadic coefficient') + if op == 'scale': + need(n & (n-1) == 0, 'Dyadic unit scale') + total += 2*(abs(n.bit_length()-d.bit_length())+(c < 0)) + else: + need(op == 'add', 'Scalar opcode') + total += 2*(3+n.bit_length()-1+n.bit_count()+d.bit_length()-1) + return total + + +def reverse(events, n): + """Propagate output columns through the scalar word in reverse order.""" + columns = unit(n) + for op, target, origin, value in reversed(events): + c = F(value) + if op == 'scale': + columns[target] = {k: c*v for k, v in columns[target].items()} + else: + need(op == 'add' and target != origin, 'Distinct ADD fields') + add(columns[origin], columns[target], c) + return columns + + +def prefix(events, n): + """Compute exact prefix rows, separately from the reverse pass.""" + state = unit(n) + norm, height = F(1), 0 + for op, target, origin, value in events: + c = F(value) + if op == 'scale': + state[target] = {k: c*v for k, v in state[target].items()} + else: + add(state[target], state[origin], c) + norm = max(norm, sum(map(abs, state[target].values()), F(0))) + for x in state[target].values(): + d = x.denominator + need(d & (d-1) == 0, 'Dyadic prefix coefficient') + height = max(height, d.bit_length()-1) + return state, {'row_one_norm': str(norm), 'binary_height': height} + + +def algebra(raw, code): + model = raw['model'] + e, u, v = (rows(model[name]) for name in ('response', 'correction_U', 'correction_V')) + uv = mul(u, v) + expected_e = unit(112) + for row, correction in zip(expected_e, uv): + add(row, correction) + need(e == expected_e, 'Actual response factorization') + vp = [{j: row[p] for j, p in enumerate(P) if p in row} for row in v] + # The actual pivot blocks are signed two-coordinate Hadamards and units. + vp_t = transpose(vp, 16) + gram = [{i: F(2 if i < 8 else 1)} for i in range(16)] + need(mul(vp, vp_t) == gram, 'Actual pivot Gram matrix') + vi = [{j: x/(2 if j < 8 else 1) for j, x in row.items()} for row in vp_t] + need(mul(vi, vp) == unit(16) and mul(vp, vi) == unit(16), 'Pivot inverse orders') + w = mul(vi, v) + c, ci, b = unit(112), unit(112), [] + for i, p in enumerate(P): + need({j: w[i].get(q, F(0)) for j, q in enumerate(P)} == + {j: F(i == j) for j in range(16)}, 'Normalized pivot columns') + c[p] = dict(w[i]) + correction = dict(w[i]) + add(correction, {p: F(1)}, F(-1)) + b.append(correction) + add(ci[p], correction, F(-1)) + need(mul(c, ci) == unit(112) and mul(ci, c) == unit(112), 'Shear inverse orders') + need(rank(b) == 16, 'Exact shear displacement rank') + lamb = [{i: F(-5 if i < 8 else -7)} for i in range(16)] + need(mul(w, e) == mul(lamb, w), 'Selected left eigenvectors') + ce = mul(c, e) + encoded = mul(ce, ci) + need(all(set(row)-{i} <= set(P) for i, row in enumerate(encoded)), + 'Encoded response changes only pivot columns') + for name, value in [('pivot_minor', vp), ('pivot_minor_inverse', vi), + ('centre_reader', w), ('code', c), ('code_inverse', ci), + ('response', e), ('selected_capture_response', ce), + ('encoded_response', encoded)]: + need(rows(code[name]) == value, 'Independent algebra: '+name) + need(code['pivots'] == P, 'Exact selected ports') + for name, matrix in [('scalar_word', c), ('inverse_scalar_word', ci)]: + events = code[name] + need(reverse(events, 112) == transpose(matrix, 112), 'Reverse code: '+name) + need(price(events) == 1760, 'Code scalar price') + for op, target, origin, _ in events: + need(target in P and (op == 'scale' or origin not in P), 'Unchanged shear source') + word = code['scalar_word']+code['inverse_scalar_word'] + need(reverse(word, 112) == unit(112), 'Literal inverse order') + need(reverse(code['inverse_scalar_word']+code['scalar_word'], 112) == unit(112), + 'Other literal inverse order') + query = unit(224) + for p in P: + add(query[p], {112+j: x for j, x in ce[p].items()}) + need(reverse(code['final_query_word'], 224) == transpose(query, 224), + 'Arbitrary-baseline late query') + need(price(code['final_query_word']) == 3424, 'Late query scalar price') + a, pre_bound = prefix(code['scalar_word'], 112) + need(a == c, 'Separate forward code') + a, query_bound = prefix(code['final_query_word'], 224) + need(a == query, 'Separate forward late query') + return e, c, ce, { + 'code_price': 1760, 'query_price': 3424, + 'code_prefix': pre_bound, 'query_prefix_on_independent_inputs': query_bound, + 'displacement_rank': 16, 'extra_fields': 0, 'odd_scans': 0, + } + + +def inherit(): + frozen(ACCEPTED, 'NATIVE-REVIEW-FREEZE.json', + 'cfdc4fa0361aa79c1d53a59ff48bdde1715ea8e3eb6b9efbc109c97bcc44a976') + frozen(ACCEPTED, 'EXTENSIONS-REVIEW-FREEZE.json', + 'c8fccfbe49ddd8747095a43aa1c1c59b0270bbbf73d94a317a79113191e4e34c') + phase_path = LANES/'new-native-recipes-20261017/isotropic-pair-review-20261018/check.py' + read(phase_path, 'e428f575ad93a8ade3a92b641a2b5eef111519f03ba5cceca4cd4957f008ba18') + spec = importlib.util.spec_from_file_location('independent_spatial_phase', phase_path) + phase = importlib.util.module_from_spec(spec) + spec.loader.exec_module(phase) + return phase + + +def select_raw(raw_word, selected): + indices, removed = [], [] + for i, event in enumerate(raw_word['events']): + need(event[0] in ('native', 'scalar'), 'Raw event grammar') + target = event[1] if event[0] == 'native' else event[1][1] + (removed if target in selected else indices).append(i) + for i in indices: + event = raw_word['events'][i] + if event[0] == 'scalar' and event[1][0] == 'add': + need(event[1][2] not in selected, 'Retained read of removed target') + return indices, removed + + +def check_word(word, old, code, e, c, ce): + need(word['frames'] == old['frames'] and word['start'] == old['start'], + 'Unchanged exact input geometry') + selected = {112+p for p in P} + indices, removed = select_raw(old, selected) + need(word['retained_original_event_indices'] == indices, 'Exact removal indices') + kept = [old['events'][i] for i in indices] + cut = [old['events'][i] for i in removed] + need(Counter(x[0] for x in cut) == {'native': 128, 'scalar': 122}, + 'Complete removed inventory') + need(Counter(x[4] for x in cut if x[0] == 'native') == {1: 128}, + 'Only the selected rank-one children are removed') + need(price([x[1] for x in cut if x[0] == 'scalar']) == 928, 'Removed scalar price') + pre = [['scalar', [op, 112+t, None if s is None else 112+s, v], 0] + for op, t, s, v in code['scalar_word']] + progress = [['native', 112+p, 0, 1, 9, 'capture-full'] for p in P] + late = [['scalar', [op, 112+t, None if s is None else s-112, v], 1] + for op, t, s, v in code['final_query_word']] + need(word['events'] == pre+kept+progress+late, 'Exact complete operation order') + stages = [('precode', pre), ('retained_core', kept), + ('selected_full_progress', progress), ('late_query', late)] + cursor, expected_ranges = 0, {} + for name, events in stages: + expected_ranges[name] = [cursor, cursor+len(events)] + cursor += len(events) + need(word['stage_ranges'] == expected_ranges, 'Exact stage boundaries') + need(cursor == 2886, 'Complete event count') + final = list(old['final']) + for field in selected: + final[field] = 1 + need(word['final'] == final, 'Exact changed output frames') + need(old['frames'][0] == [] and len(old['frames'][1]) == 9, 'I and FULL declarations') + current = list(word['start']) + count, used = Counter(), set() + for i, event in enumerate(word['events']): + if i == expected_ranges['late_query'][0]: + need(all(current[p] == 1 for p in range(112)) and + all(current[p] == 1 for p in selected), 'Late common-FULL cut') + if event[0] == 'native': + _, field, before, after, r, key = event + need(0 <= field < 224 and current[field] == before, 'Native field and old frame') + need(word['native_recipes'][key]['rank'] == r, 'Native rank binding') + if key == 'capture-full': + need(field in selected and (before, after, r) == (0, 1, 9), + 'Only selected complete FULL replacements') + else: + need(word['native_recipes'][key] == old['native_recipes'][key], + 'Exact inherited phase record') + need(key == str(before)+':'+str(after), 'Ordered inherited frame pair') + current[field] = after + count[r] += 1 + used.add(key) + else: + _, scalar, frame = event + op, target, origin, _ = scalar + need(0 <= target < 224 and current[target] == frame, 'Scalar target frame') + if op == 'add': + need(0 <= origin < 224 and current[origin] == frame, 'Scalar source frame') + else: + need(op == 'scale' and origin is None, 'Scale grammar') + need(current == final, 'Complete final frame ledger') + need(used == set(word['native_recipes']), 'Every stored recipe is used') + need(count == {1: 1392, 2: 64, 3: 48, 9: 16}, 'Complete native profile') + scalars = [event[1] for event in word['events'] if event[0] == 'scalar'] + expected = unit(640) + for p in range(112): + target = 112+p + expected[target] = {112+j: v for j, v in c[p].items()} + add(expected[target], ce[p] if p in P else e[p]) + need(reverse(scalars, 640) == transpose(expected, 640), 'All640 reverse input columns') + actual, growth = prefix(scalars, 640) + need(actual == expected and actual[224:] == unit(640)[224:], 'Separate forward row check') + need(growth == {'row_one_norm': '132', 'binary_height': 1}, + 'Complete operation-boundary content bounds') + need(price(scalars) == 11640, 'Complete scalar invoice') + stage_prices = {name: price([e[1] for e in events if e[0] == 'scalar']) + for name, events in stages} + need(stage_prices == {'precode': 1760, 'retained_core': 6456, + 'selected_full_progress': 0, 'late_query': 3424}, + 'All four scalar stage bills') + input_views = [r for r in old['endpoint_adapters'] if r['role'] == 'source'] + need(word['input_views'] == input_views, 'All112 exact input phase adapters') + outputs = word['output_views'] + need(len(outputs) == 96 and {r['port'] for r in outputs} == set(range(112))-set(P), + 'Exactly the96 ordinary output adapters') + for r in outputs: + need(r['frame'] == final[112+r['port']] and r['recipe']['rank'] == 0 and + r['recipe']['right'] is None, 'One output monomial in the actual ordinary frame') + full = [['C', 1 << j, 1] for j in range(9)] + need(word['new_full_recipe_circuit'] == full, 'Declared complete positive FULL kernel') + need(reverse([x[1] for x in kept+progress+late if x[0] == 'scalar'], 640) != + transpose(expected, 640), 'Missing precode control') + need(reverse([x[1] for x in pre+kept+progress if x[0] == 'scalar'], 640) != + transpose(expected, 640), 'Missing late query control') + try: + select_raw(old, selected-{112+27}) + except ValueError: + pass + else: + raise ValueError('Incomplete selected-pair control') + return { + 'input_columns': 640, 'unchanged_arbitrary_roles': 416, 'events': cursor, + 'removed_events': len(removed), 'removed_scalar_price': 928, + 'native_profile': dict(sorted(count.items())), + 'native_children': sum(count.values()), 'native_mass': sum(r*n for r, n in count.items()), + 'real_scalar_primitives': price(scalars), 'scalar_stage_prices': stage_prices, + 'input_views': 112, 'output_views': 96, + 'native_side_maps_upper_bound': 2*sum(count.values()), + 'inherited_distinct_native_recipes': len(used)-1, + 'new_distinct_native_recipes': 1, 'growth': growth, + 'private_fields': 0, 'new_fields': 0, 'odd_scans': 0, + } + + +def phases(word, old, phase): + full = [('C', 1 << j, 1) for j in range(9)] + record = word['native_recipes']['capture-full'] + result = {'full': phase.compare(phase.recipe(record), full, 'New complete F9', 512)} + old_target = {r['port']: r for r in old['endpoint_adapters'] if r['role'] == 'target'} + inverse_checks = [] + for view in word['output_views']: + p = view['port'] + inherited = phase.recipe(old_target[p]) + new = phase.recipe(view['recipe']) + left = phase.compare(inherited+new, [], 'Output inverse '+str(p), 1) + right = phase.compare(new+inherited, [], 'Output inverse other order '+str(p), 1) + inverse_checks.append({'port': p, 'orders': [left, right]}) + result['output_inverse_monomials'] = inverse_checks + identity = {'matrix_rows': [1 << j for j in range(9)], + 'quadratic_rows': [0]*9, 'linear_Z4': [0]*9, 'offset': 0, 'phase': 0} + direct = {'rank': 9, 'left': identity, 'right': identity} + result['identity_wrapper_corollary'] = phase.compare( + phase.recipe(direct), full, 'Direct identity-wrapper F9', 512) + bad = phase.recipe(record)+phase.compile_circuit([['phase', 1]]) + need(phase.run(bad, 0) != phase.run(full, 0), 'Wrong global phase control') + result['scope'] = 'Exact executed recipes; descriptive compiler circuits are not executed.' + return result + + +def direct_refinement(payload): + frozen(NATIVE, 'DIRECT-FULL-FREEZE.json', + 'f0d3b0d7c8d93e391089a2d28066dd02b4a9b28e306dea5f4e7cb5fc895b054e') + direct = json.loads(read(NATIVE/'direct-normal/DIRECT-FULL-CAPTURE.json.gz', + 'fa3342f8b4ddf286f6f67922f4184486ec0162610e4de6a457de3eed0750504c', True)) + need(direct['refinement_source_decompressed_sha256'] == + '7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2', + 'Exact refinement source') + need(set(direct) == set(payload)|{'refinement_source_decompressed_sha256'}, + 'No additional refinement state') + for key in set(payload)-{'providers', 'schema'}: + need(direct[key] == payload[key], 'Unchanged refinement metadata: '+key) + identity = {'matrix_rows': [1 << j for j in range(9)], + 'quadratic_rows': [0]*9, 'linear_Z4': [0]*9, 'offset': 0, 'phase': 0} + expected = {'rank': 9, 'left': identity, 'right': identity} + for name, word in payload['providers'].items(): + changed = direct['providers'][name] + need(set(changed) == set(word), 'Unchanged word schema') + for key in set(word)-{'native_recipes'}: + need(changed[key] == word[key], 'Exact unchanged complete word: '+key) + need(set(changed['native_recipes']) == set(word['native_recipes']), + 'No additional native recipe') + for key, record in word['native_recipes'].items(): + need(changed['native_recipes'][key] == (expected if key == 'capture-full' else record), + 'Only the direct FULL recipe changes') + return {'providers': ['base', 'extra'], 'changed_occurrences_per_word': 16, + 'all_events_and_boundary_views_byte_equal': True, + 'real_scalar_primitives': 11640, 'native_children': 1520, 'native_mass': 1808, + 'native_side_maps_upper_bound': 3008, + 'proof': 'Exact complete-word substitution using the independently checked identity-wrapper kernel.'} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + frozen(ALG, 'FREEZE.json', '0810ec37cb70d819a1d40f817476a41dd1151535309972af1b5b1db2bcb42baf') + raw = json.loads(read(RAW/'odd16-normal-v2/EXTENSION-PROGRAM.json.gz', + 'd466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4', True)) + code = json.loads(read(ALG/'run-normal/ROW-CAPTURE.json', + '4c98af5d7a1437a03f53e84f0f2cbc7cd2ac47d4c6d4ee1523c16bf469692eb7')) + e, c, ce, algebra_report = algebra(raw, code) + frozen(NATIVE, 'FREEZE.json', + '5321a8ff856042c5ca30ce6b29b90a51ccd4dcf02317820243bfffbb433c84d8') + frozen(LANES/'bridge-access-20261017/row-capture-access-20261020', 'FREEZE.json', + '9d4eda12aa32eb11d97f6a9a88c691152a0c9580ea678cceaacae3d9b06c5b11') + payload = json.loads(read(NATIVE/'run-normal/PRODUCTIVE-CAPTURE.json.gz', + '7c3b8343ec04c65f98b7170c7f37c9f80605e28c95df00bcf2a189908461c8b2', True)) + need(payload['schema'] == 'productive-sixteen-full-capture-v1', 'Native schema') + need(payload['selected_ports'] == P and payload['ports'] == raw['model']['ports'], + 'Exact physical selected ports and line directions') + need(payload['ordinary_ports'] == sorted(set(range(112))-set(P)) and + payload['inverse_code'] == code['code_inverse'], 'Complete inverse and ordinary metadata') + for key, expected in [('response', e), ('code', c), ('captured_response', ce)]: + need(rows(payload[key]) == expected, 'Native matrix contract: '+key) + need(set(payload['providers']) == {'base', 'extra'}, 'Both providers') + need(payload['providers']['base'] == payload['providers']['extra'], + 'Byte-equal provider payloads') + word_reports = {} + for provider, word in payload['providers'].items(): + word_reports[provider] = check_word(word, raw['providers'][provider]['forward'], code, e, c, ce) + phase = inherit() + phase_report = phases(payload['providers']['base'], raw['providers']['base']['forward'], phase) + refinement_report = direct_refinement(payload) + report = { + 'status': 'PASS_INDEPENDENT_ROW_CAPTURE_NATIVE', + 'algebra': algebra_report, 'literal_words': word_reports, + 'phases': phase_report, 'direct_full_refinement': refinement_report, + 'negative_controls': ['missing precode', 'missing late query', + 'incomplete selected pair', 'wrong global phase'], + 'scope': 'Complete local forward native service with changed output representation. No free later-stage conversion, global decoder, recursive host, or complete supplier claim.', + } + args.out.mkdir(parents=True, exist_ok=True) + (args.out/'REVIEW.json').write_text(json.dumps(report, indent=2, sort_keys=True)+'\n') + (args.out/'INPUTS.json').write_text(json.dumps(INPUTS, indent=2, sort_keys=True)+'\n') + print(report['status']) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/normal/INPUTS.json b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/normal/INPUTS.json new file mode 100644 index 0000000000..7ef7d475fc --- /dev/null +++ b/research/centre-code-services/frozen/lanes/new-native-recipes-20261017/row-capture-native-review-20261020/normal/INPUTS.json @@ -0,0 +1,137 @@ +{ + "bridge-access-20261017/row-capture-access-20261020/ACCESS.md": { + "sha256": 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No free later-stage conversion, global decoder, recursive host, or complete supplier claim.", + "status": "PASS_INDEPENDENT_ROW_CAPTURE_NATIVE" +} diff --git a/research/centre-code-services/frozen/root/MOVING-CENTRE-CODE-20261020.md b/research/centre-code-services/frozen/root/MOVING-CENTRE-CODE-20261020.md new file mode 100644 index 0000000000..2f671dba61 --- /dev/null +++ b/research/centre-code-services/frozen/root/MOVING-CENTRE-CODE-20261020.md @@ -0,0 +1,313 @@ +# A centre code that moves with the native phase + +A change to the reader removes the inverse requirement in +RANK30-PHASE-SECTION-20261020.md. The useful matrix is the constant +B=VU, rather than VQ^2U. For both actual low-rank responses, B is +invertible. The new entry code uses scalar maps and translations. +After the native advance it has exactly the section and reader of +the terminal correction. + +The rank-sixteen response has an additional property. Its induced +centre action is diagonal. In the transported code, its complete +conjugated response can therefore be applied by sixteen scalar +multiplications on existing data carriers. No centre cohort is needed. +The exit remains encoded. This result does not remove that exit code +or prove its compatibility with an interleaved productive call. + +## Hypotheses and actual responses + +Let E=I+UV be an invertible scalar response on n fields. The matrices +U and V have full column and row rank r. Assume B=VU is invertible. +Put H=I+B. Then H is invertible. Direct multiplication gives +H^-1=I-V E^-1 U. + +Let Q be the diagonal matrix of actual native line phases. Assume +Q_p^4=I exactly, and let L=Q^2. Each L_p is the specified simultaneous +translation. Let F be one common native operator which commutes with +Q and with every scalar matrix on these fields. Define the physical +data advance + +```text +A = F Q^-1. +``` + +The commutation premise is material. A port-dependent routed F need +not commute with U, V, or the chosen scalar code. + +The actual rank-thirty factor has B equal to eight blocks + +```text +[ -4 1 ] +[ 2 -2 ] +``` + +and eleven scalar blocks -5 and three scalar blocks -3. The 2 by 2 +blocks have determinant 6. + +For the actual rank-sixteen factor, + +```text +B = diag(-6 I_8, -8 I_8), +H = diag(-5 I_8, -7 I_8). +``` + +Thus the rank-sixteen section reader needs only the odd divisor 3. +The inverse centre action needs 5 and 7. These are different steps +with different exact-grid obligations. + +The rank-sixteen factor is taken from the actual frozen native response, +not from a new hypothetical matrix. Its native word, full inverse, +rank factor, and ordinary principal block have separate exact reviews. +The selected ordinary inverse can require 31; the whole-bank code here +does not use that principal inverse. + +## A section with the required reader + +At entry set + +```text +J_in = L U, +D_in = B^-1 V L. +``` + +Since L^2=I, D_in J_in=I. Both maps use only scalar operations and +the declared translations. There is no inverse of VLU. + +Advance the data by A and a centre bank by F. The transported maps are + +```text +J_out = A J_in F^-1 = Q U, +D_out = F D_in A^-1 = B^-1 V Q^-1. +``` + +The exact desired response is therefore + +```text +M = Q E Q^-1 = I+J_out B D_out. +``` + +This is the required negative-phase reader VQ^-1. It does not have the +reader mismatch of the earlier section D=(VLU)^-1 V. + +For arbitrary a,z, use the lossless section swap + +```text +S_in(a,z) = ((I-J_in D_in)a+J_in z, D_in a). +``` + +It is an involution. Its short word is + +```text +a += J_in z +z -= D_in a +a += J_in z +z *= -1 +``` + +The stored value of z is transferred into the data; it is not erased. +The middle operation needs a priced additive service. One option is +to apply B to z, subtract V L a, and apply B^-1 to z. + +All entry translations can be grouped. If S_0 is the same swap with +J=U and D=B^-1V, then + +```text +S_in = diag(L,I) S_0 diag(L,I). +``` + +Thus two passes of L on the data suffice for this explicit lowering. +At n=112 this is 224 declared translation-map calls. They retain their +packed-map cost. The scalar swap and its fixed-odd scans are separate. + +Let S_out be the transported swap. Its defining exact relation is + +```text +diag(A,F) S_in = S_out diag(A,F). +``` + +It satisfies + +```text +S_out diag(M,I) S_out = diag(I,H). +``` + +To check the last identity, write a=b+J_out c with D_out b=0. +S_out exchanges c and z; M leaves b fixed and sends c to Hc. +Conjugation therefore leaves the data fixed and sends z to Hz. +This proof includes every arbitrary data and centre input. + +## A square code on the existing data bank + +There is no need to introduce r new centre fields if a scalar change +of the existing n coordinates is allowed. Choose r physical rows P +such that U_P is invertible, and write R for the other rows. Define + +```text +C_0 a = (c,b), +c = B^-1 V a, +b = a_R-U_R U_P^-1 a_P. +``` + +The r centre outputs use the P carriers. The other outputs use R. +The inverse is + +```text +t = c-B^-1 V_R b, +a_P = U_P t, +a_R = U_R t+b. +``` + +These formulas prove invertibility. They also give + +```text +C_0 E C_0^-1 = diag(H,I_(n-r)). +``` + +The actual rank-thirty unit minor is checked in a separate lane packet. +The actual rank-sixteen pivot word uses an unnormalized sum and a +different complement after its pair code. It is a different conjugator. +The more general transport statement below applies to both words. + +The normalization is optional. Replacing c by V a multiplies the first +r output rows by B. Because B commutes with H, the new code still +conjugates E to diag(H,I). This sum code is dyadic when U_P^-1 is +dyadic. Its inverse uses B^-1 only on values in the proved code image. +There the odd divisions are exact. This valid-code statement does not +establish divisibility after an arbitrary intervening operation. + +More generally, let C be any invertible scalar code with +C E C^-1=K. The following transport uses this identity alone. + +Take the physical entry code to be + +```text +C_in = C L. +``` + +Moving it through A gives + +```text +C_out = A C_in A^-1 = Q^-1 C Q^-1. +``` + +The response M has the following action in the output code: + +```text +C_out M C_out^-1 = Q^-1 K Q. +``` + +This identity is exact and keeps the order of all port phases. It is +not enough to diagonalize E as a scalar matrix and then discard Q. + +For the normalized code, K=diag(H,I_R), so the first block is +Q_P^-1 H Q_P. For the actual rank-sixteen pivot word K is diagonal. +Therefore Q^-1 K Q=K. At this encoded cut M is exactly eight multiplications +by -5, eight multiplications by -7, and identity on the other 96 +coordinates. It uses the sixteen existing pivot fields. An inverse +response uses the reciprocals, with their stated 5/7 grid requirement. + +This proves a useful encoded primitive. Start with the entry code +C_in a, apply the complete advance A, and then apply the stated centre +action. The physical output is C_out M A a. It is the required +response and advance in the declared output code. Preparing C_in +uses only the scalar code and translations. All native work is in A. +This primitive does not prove that a larger productive word has this +advance as a separable step at a legal common cut. + +## A finite reuse cycle + +Assume successive data advances are A_s=F_s Q^-1, with the same Q. +Assume each F_s commutes with C and Q. These hypotheses can hold +for a construction family; they must be checked on the actual routed +operators in a supplier. + +Conjugating the code through successive advances gives the exact cycle + +```text +C L + -> Q^-1 C Q^-1 + -> L C + -> Q C Q + -> C L. +``` + +The identities use Q^4=I. At every even cut the code and its inverse +use only C and translations. Thus two advances can consume one cheap +entry code and return a cheap exit code without a separate odd-phase +decode. Four advances return the original code. + +Alternatively, an advance F_+ Q^-1 followed by F_- Q transports the +first output code directly back to C L, under the same commutation +conditions. The identity does not require the two F operators to be +equal. + +Interleaved operations require their own typed endpoints. They cannot +be ignored when applying this cycle. In particular, a port code that +mixes different stage routes can violate the commutation premise. +The current three-call controller also ends at an odd cut. Neither +the cycle nor a bounded codebook alone removes that final code. + +## Remaining construction obligations + +The exact coefficient and phase identities solve a specific obstacle: +the centre reader can be obtained by transport from a scalar and +translation entry code, with no extra field cohort. The actual +rank-sixteen response then has a diagonal centre action. + +The next required work is to bind that code to a complete productive +caller. Such a caller must check the chronology of each capture, all +interleaved ADDs, the current and past owner views, arbitrary borrowed +state, and the final raw endpoint. It must implement an exit decode +or a proved matching code transition. It must price all scalar, +translation, view, and exact-grid work, as well as recursive children. +An unpriced output code does not constitute a supplier improvement. + +## Credit and status + +The independent moving-code review is: + +```text +../lanes/bridge-review-20261017/moving-code-review-20261020/FREEZE.json +SHA256 0432a54d1e99122b61472c203a590ea8bd8508f13e3c80a086eb42430ecfc279 +``` + +It checks both actual square codes, every data input column, the complete +arbitrary-input section swaps, the source matrices, and the all-width +transport argument. Normal and optimized runs give identical receipts. +The rank-thirty swap costs 5076 dyadic scalar primitives, 224 translation +maps, and 22 complex fixed-odd multiply/divide pairs. The rank-sixteen +swap costs 4448 dyadic primitives, 224 maps, and eight such pairs. Both +have exact stored opcode-prefix row norm 12. These swaps use a separate +centre cohort; they are not the no-cohort pivot-code invoice. + +The frozen rank-sixteen pivot code is: + +```text +../lanes/new-core-transfer-20261017/low-displacement-20261020/ +pivot-codes/FREEZE.json +SHA256 86a1abd93f4ebc37ae54dbaabf5cade3b62a6d1d7fcd54d4f3cf5e58785b37b7 +``` + +Its code and inverse each cost 2078 old real scalar units plus sixteen +real fixed-3 scans in the declared literal lowering. Entry C Q^2 adds +112 explicit translation maps. It uses sixteen existing pivots and no +owned or additional field. A valid-code inverse has exact divisions; +arbitrary inverse inputs need the admitted exact grid. Its producer +checks all 640 roles. The moving-code review separately checks the +112-field matrix and both inverse orders. The complete physical caller +remains outside both checks. + +The coherent-port lane found the corrected reader and the square-code +transport formula. The native-escape lane bound B and H to both actual +factors and supplied their short scalar services. The bridge-review lane +checked the transported section and grouped its entry translations. +The root supplied the finite reuse cycle and this combined statement. +The low-displacement response, cyclic native family, signed pair code, +and prior translation-code work are credited in their source packets. + +The actual scalar factors, both square codes, every input column, and +the phase transport identities have separate independent review in the +bridge-review lane. The proof above gives the all-width statement and +the finite reuse cycle. It uses AI assistance. No PR or publication is +authorized. Before any future PR description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/frozen/root/PHASE-CODE-FREEZE-20261020.json b/research/centre-code-services/frozen/root/PHASE-CODE-FREEZE-20261020.json new file mode 100644 index 0000000000..074a4fe117 --- /dev/null +++ b/research/centre-code-services/frozen/root/PHASE-CODE-FREEZE-20261020.json @@ -0,0 +1,15 @@ +{ + "files": { + "MOVING-CENTRE-CODE-20261020.md": "9114b715f46f16cfd7d84854fc6a98cf055b2648067e99f469b5e9afe45e7a60", + "RANK30-PHASE-SECTION-20261020.md": "a73e10987a39383feee05fa989e993449614428d1f69fc12842f879971573b66", + "RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz": "742c2a1907c61be01aa9a2f80df095ad21ad9608a43b38f7fb2ef7ee7ef6d994", + "RANK30-PHASE-SECTION-CHECKS-20261020.json": "04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7", + "check_rank30_phase_section_20261020.py": "cded1f99bd4cca2d0453ba66398d666ca5f37432d52f025104486086b640633a" + }, + "independent_reviews": { + "moving_code": "0432a54d1e99122b61472c203a590ea8bd8508f13e3c80a086eb42430ecfc279", + "translation_inverse": "ce66823499be95adcd980333c8e49c394fa9c0a08927d099c3bfc5fd57edf7d6" + }, + "scope": "Exact all-width component proofs and pinned checks; productive controller, terminal code removal and complete supplier price remain open. No publication is authorized.", + "status": "FROZEN_REVIEWED_COMPONENTS_NOT_SUPPLIER" +} diff --git a/research/centre-code-services/frozen/root/RANK30-PHASE-SECTION-20261020.md b/research/centre-code-services/frozen/root/RANK30-PHASE-SECTION-20261020.md new file mode 100644 index 0000000000..acedd67db3 --- /dev/null +++ b/research/centre-code-services/frozen/root/RANK30-PHASE-SECTION-20261020.md @@ -0,0 +1,319 @@ +# A translation inverse for the rank-thirty response + +The actual rank-thirty response has a useful property that correction +rank alone does not give. Its phase-dependent cross matrix is invertible +at every positive tensor width. Its inverse uses only simultaneous +translations and coefficients in Z[1/2,1/15]. Thus it gives an exact +section and an exact coordinate split with no new native transform. +The translation maps, scalar scans, storage, and boundary access still +require their full implementation cost. + +The required terminal query is not supplied by this theorem. The section +uses the positive phase reader VQ. The current terminal needs VQ^-1. +The last section states this difference as an operator identity. The +later MOVING-CENTRE-CODE-20261020.md proof changes the reader and removes +this mismatch without using the translation inverse proved here. + +## Pinned actual inputs + +Use the matrices U and V in the rank-thirty response packet: + +```text +../lanes/new-core-transfer-20261017/low-displacement-20261020/ +run-normal/RESPONSE-PROGRAM.json +SHA256 5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c +``` + +Here U has 112 rows and 30 columns, V has 30 rows and 112 columns, +and E-I=UV. The physical port order is the order in that packet. +Use the 112 directions q_p in the transfer list of: + +```text +../lanes/history-encoding/independent-skeleton-20261018/ +fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz +decompressed SHA256 +b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5 +``` + +The rank-thirty matrix review and the complete native review are separate +dependencies. They check E-I=UV, the selected principal interface, both +native directions, every input role, and the native phases. This note +uses their actual U,V and q arrays. It does not infer a native circuit +from an arbitrary low-rank matrix. + +## A general translation-section theorem + +Let G be the additive group F2^d. On a field array at tensor width f, +let tau_g translate every tensor copy by the same g. Other coordinates +of the full supplier address are unchanged. Then + +```text +tau_g tau_h = tau_(g+h), tau_g^2 = I. +``` + +These are simultaneous translations. They are not f independent +translation choices. In particular, the group has 2^d elements at +every positive f. + +Let U be an n by r scalar matrix and V an r by n scalar matrix. Put + +```text +J = diag_p(tau_(q_p)) U, +T = V J, +T_chi = V diag_p((-1)^(chi dot q_p)) U. +``` + +Assume all 2^d matrices T_chi are invertible. For each character chi, +define the operator + +```text +e_chi = 2^-d sum_g (-1)^(chi dot g) tau_g. +``` + +The character orthogonality identity gives + +```text +e_chi e_psi = [chi=psi] e_chi, sum_chi e_chi = I, +T = sum_chi T_chi e_chi. +``` + +Consequently + +```text +T^-1 = sum_chi T_chi^-1 e_chi + = sum_g K_g tau_g, +K_g = 2^-d sum_chi (-1)^(chi dot g) T_chi^-1. +``` + +Multiplication proves both inverse orders. The proof is an identity in +the finite group algebra, so it holds in every representation of this +translation group. In particular, it holds at every positive tensor +width and in the full supplier chart. There is no approximation. + +There is also a useful direct Fourier description. At a frequency tuple +(chi_1,...,chi_f), the multiplier of tau_g is +(-1)^((chi_1+...+chi_f) dot g). Thus the matrix at that frequency is +T_(chi_1+...+chi_f). This gives the same all-width result. It does not +replace T by a tensor power of an r by r matrix. + +If every T_chi^-1 has coefficients in Z[1/2,1/s], so does T^-1. +The averaging factor 2^-d adds no odd denominator. A valid implementation +can use the finite translation formula or a factored mode word. This +algebraic formula alone does not price an in-place implementation. + +## Exact result for the actual thirty coordinates + +For the actual U,V, take d=9 and r=30. The native line phases satisfy +Q_p^2=tau_(q_p), with the exact phase convention of the pinned native +word. Thus + +```text +T = V Q^2 U. +``` + +Each T_chi is a direct sum of one 16 by 16 matrix and fourteen scalar +matrices. The first block comes from the eight reciprocal six-mode +responses after the actual signed pair code. The other blocks come +from eleven five-cliques and three three-cliques. + +The adjacent checker constructs T_chi directly from the pinned U,V,q. +It inverts every large block by exact rational elimination, checks both +inverse orders, and checks every small block. There are 512 characters. +Its results are: + +```text +all 512 large blocks are invertible; +all fourteen small blocks are nonzero at every character; +the least common denominator of the character inverse entries is 60; +the odd part of that common denominator is 15; +the largest character inverse row one-norm is 53/5. +``` + +It follows that each physical kernel coefficient has denominator +dividing 512*60=30720. In particular, the all-width inverse belongs to +Z[1/2,1/15][G]. The character row norm is not the array row norm. +Independent integer Walsh reconstruction gives 2712 nonzero kernel +coefficients, least common denominator 120, and exact array infinity +norm 88/5. Character inverse entries -1/3 and -1/5 prove that the odd +part 15 is necessary over the dyadic coefficient ring. + +The exact inverse blocks are in: + +```text +RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz +decompressed SHA256 +91b546da328fbf4a58b9fbf92c5851ec7a66402d3c2bcf7a52ce3e1533052bc8 +``` + +The receipt is: + +```text +RANK30-PHASE-SECTION-CHECKS-20261020.json +SHA256 04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7 +``` + +The independent inverse and kernel review is: + +```text +../lanes/bridge-review-20261017/rank30-phase-section-review-20261020/ +FREEZE.json +SHA256 ce66823499be95adcd980333c8e49c394fa9c0a08927d099c3bfc5fd57edf7d6 +``` + +Normal and optimized Python runs give the same root bytes. The checks are +finite and exhaustive over the character group. The group-algebra proof +above is the step that extends them to every tensor width. + +## Why odd cliques give a reusable family + +Let one zero-diagonal rank-one response block be E=I+uv, on k ports. +The diagonal equations give u_p v_p=-1. Its scalar cross matrix is + +```text +T_chi = -sum_p (-1)^(chi dot q_p). +``` + +If k is odd, this sum is odd and nonzero for every character, regardless +of relations among the directions. Therefore this phase section always +exists. Its inverse has odd denominator dividing the least common +multiple of 1,3,...,k. For k=3 and k=5 those bounds are 3 and 15. +Disjoint odd blocks retain this property, with the least common multiple +of their denominator bounds. + +For comparison, suppose k is even and the directions are independent. +There is a character with k/2 positive signs and k/2 negative signs. +Its scalar cross matrix is zero. Hence this phase section does not exist. +The actual rank-sixteen candidate uses eight independent directions in +each of its eight small cliques, so it has this obstruction. + +An invertible change of the r correction coordinates replaces a minimal +factorization U,V by U S,S^-1 V. It conjugates T. Such a coordinate +change cannot remove a singular character. This conclusion concerns this +phase section. It does not rule out a different centre code or decoder. + +## Exact entry coordinates and arbitrary borrowed values + +Set + +```text +J = Q^2 U, D = T^-1 V, P = J D. +``` + +Then DJ=I and P^2=P. For arbitrary data a and arbitrary centre values z, +define + +```text +S(a,z) = ((I-P)a+Jz, Da). +``` + +Direct substitution proves S^2=I. In particular, this operation does +not erase the arbitrary value of z. It places that value in the J +component of the data. + +The following word has exactly that endpoint: + +```text +a += J z +z -= D a +a += J z +z *= -1 +``` + +The second line reads the updated a. It gives +z-D(a+Jz)=-Da. The third line then gives (I-P)a+Jz. +This proof includes every arbitrary input column. + +The word has two J shears and one D shear. A standalone inverse of T +is not an additive D oracle. One safe in-place lowering of the middle +line is: + +```text +z <- T z +z -= V a +z <- T^-1 z +``` + +This lowering must pay both T directions and their workspace. J needs +the actual simultaneous translations and scalar scatter. V is a scalar +gather only at its declared common frame. The section theorem supplies +none of these operations at an undeclared physical cut. + +A square coordinate split can avoid thirty additional field families. +Choose r physical rows A for which U_A is invertible, and let B be the +remaining rows. Then J_A=diag_A(Q_p^2) U_A is invertible by scalar +arithmetic and translations. Define + +```text +c = D a, +b = a_B-J_B J_A^-1 a_A. +``` + +The inverse is + +```text +t = c-D_B b, +a_A = J_A t, +a_B = J_B t+b. +``` + +Indeed, a=Jt+(0,b), so Da=t+D_Bb. These are exact algebraic +identities on the existing data bank. Selecting and pricing an actual +minor, its translations, all prefix arithmetic, and its routed caller +are implementation obligations. + +## The remaining terminal obstacle + +In the logical positive-phase chart, QU is a section for VQ: + +```text +(VQ)(QU)=T. +``` + +The current local terminal correction instead has the form + +```text +Q(E-I)Q^-1 = (QU)(VQ^-1). +``` + +The desired reader is VQ^-1. It is not VQ. Moving the entry split +through a data advance FQ^-1 and a common centre advance F gives +section QU and normalized reader T^-1 VQ, when F commutes with the +translation algebra. This moves the section to the desired image. +It does not change its reader to VQ^-1. + +For example, on the complementary subspace ker(VQ), the desired update +still requires VQ^-1 b. The section certificate does not show that this +quantity vanishes or that it can be formed cheaply. A useful supplier +must implement that reader, use a different transported input code, or +prove an actual productive word between the two declared codes. + +Thus the theorem resolves exact invertibility, odd-denominator control, +and lossless coordinate splitting for this actual response. The next +construction must use those capabilities at a legal cut and complete +the terminal and recursive invoice. + +## Credit and reproduction + +The rank-two reciprocal response is in the root +RECIPROCAL-RANK-TWO-20261020.md proof and its addendum. The cyclic native +family, pair code, selected interface, and fourteen-clique cover are +credited in the response packet. The earlier eight-coordinate translation +inverse in the native-escape lane supplied the simultaneous-translation +method and the in-place mode implementation pattern. The coherent-port +lane supplied the lossless entry split; the native-escape lane shortened +the swap word and identified the cost of its additive D operation. +Independent review is recorded in a separate packet. + +Run: + +```text +python3 work/centre-encoding-campaign-20261014/root/check_rank30_phase_section_20261020.py +python3 -O work/centre-encoding-campaign-20261014/root/check_rank30_phase_section_20261020.py +``` + +The expected status is PASS_RANK30_PHASE_SECTION. The checker performs +no native cost, routed access, or complete supplier test. + +OpenAI Codex assisted this work. 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z2J`|Ln5-~MF+afpOHwj-_Re`gtoli5HjtE{7kwEN_L9K&P zmM~som}8)y><}xaraG*(^byCW2VY6q&@;)dHaaUL{|#;J^%zK0=f8oR#N0FoC{xMQ zzQZQJiMUFr-z4oiWab;TUB?bNaLHQrYt@}|U%Tb5=+a=V`H1TY ztHqdMj8`!dBa4FtR2#@YQ~N5C&vaISuz>1={%7J}h5AfaHy4+mNq?2}Guh%8)?{n&tLnO|NSrj`~Ud=0qWi)5MwqB04P= 16 or j >= 16) and i != j), + "Fourteen separate scalar character blocks") + ti = inverse([row[:16] for row in t[:16]]) + small = [t[i][i] for i in range(16, 30)] + need(all(x and x.denominator == 1 and int(x) % 2 for x in small), + "Odd clique sums never vanish") + small_inverse = [1 / x for x in small] + coefficients = [x for row in ti for x in row] + small_inverse + for x in coefficients: + denominator = lcm(denominator, x.denominator) + max_row_norm = max(max_row_norm, + max(sum(abs(x) for x in row) for row in ti), + max(abs(x) for x in small_inverse)) + records.append({ + "chi": chi, + "large_inverse": [[str(x) for x in row] for row in ti], + "small_diagonal": [str(x) for x in small], + }) + odd_denominator = denominator + while odd_denominator % 2 == 0: + odd_denominator //= 2 + payload = {"characters": records} + payload_path = HERE / "RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz" + raw = (json.dumps(payload, sort_keys=True, separators=(",", ":")) + "\n").encode() + with payload_path.open("wb") as stream: + stream.write(gzip.compress(raw, mtime=0)) + receipt = { + "status": "PASS_RANK30_PHASE_SECTION", + "source_sha256": {name: pin for name, (_, pin) in PINS.items()}, + "character_count": 512, + "large_block_dimension": 16, + "scalar_blocks_per_character": 14, + "inverse_common_denominator": denominator, + "inverse_common_odd_denominator": odd_denominator, + "max_character_inverse_row_norm": str(max_row_norm), + "blocks_decompressed_sha256": sha256(raw).hexdigest(), + "scope": "Exact all-character inverse; source-query formation is not supplied", + } + path = HERE / "RANK30-PHASE-SECTION-CHECKS-20261020.json" + path.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + print("receipt_sha256=" + sha256(path.read_bytes()).hexdigest()) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/notices/LICENSE b/research/centre-code-services/notices/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/centre-code-services/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/centre-code-services/notices/NOTICE-PR2226.md b/research/centre-code-services/notices/NOTICE-PR2226.md new file mode 100644 index 0000000000..a14b299ef5 --- /dev/null +++ b/research/centre-code-services/notices/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/centre-code-services/notices/ODD-GRID-SOURCE-PINS.json b/research/centre-code-services/notices/ODD-GRID-SOURCE-PINS.json new file mode 100644 index 0000000000..c249721e5e --- /dev/null +++ b/research/centre-code-services/notices/ODD-GRID-SOURCE-PINS.json @@ -0,0 +1,65 @@ +{ + "base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "files": { + "notes/bulk-complex-guard.tex": { + "git_blob": "a37613f05f8301156dca00e202e275e4bb42ddcf", + "sha256": "2e5f923dfdb38aba99262e08fa265a75f2f15934d31a9bacec0830b47bf72c37" + }, + "notes/finite-alphabet-transfer.tex": { + "git_blob": "bc9540b3c576cf0e3fee949030d2a7faaa2879cb", + "sha256": "0e3b0e98581dbd54fef2f6f7aee79a9b190a60a3f0d2726aefecdb3528131ce5" + }, + "notes/partial-gauge-assembly.tex": { + "git_blob": "4a09f324a3fe8a3c2397f34244b5cedebeb95a7c", + "sha256": "ef27afc3a70656d3139bf3661ac0b2088622f37221141cc386d41324b7c563d0" + }, + "notes/stopped-product-complex.tex": { + "git_blob": "4a9037137cd3158dbeca6d9e3b1881a599ebfcb5", + "sha256": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a" + }, + "notes/three-stage-cover-assembly.tex": { + "git_blob": "983ffb6ac8fb9117360cd0797c00c05dfa071c9d", + "sha256": "ccf34a6d37c4af14bebeab15be50ab204eb1caebe546385520050ec30089441d" + }, + "research/community-frontier1094-audit/SELECTED-SOURCE.json": { + "git_blob": "6a75493790b4eff9c4a98051ef8b01d6aad0d5a8", + "sha256": "79b3de5db3dbcb9829789ba58e9e45758926031e2a7d80667a08429d369be53b" + }, + "research/complex-sw4-frame8/local/hpe_audit_and_transport.py": { + "git_blob": "d5d3509d90c01fd91dd00b78743287614b532e48", + "sha256": "c9a05ff291016b870b4fc925b317abd9c3a604c73ffc8920dfdbbeb475e20aa3" + }, + "research/complex-sw4-frame8/local/hpe_emit_local.py": { + "git_blob": "534fdc71f7641c704575efc038363d7eb206b2df", + "sha256": "7e4a6fbc38c8228157b6311457d1496bf460291393043932d2c365f004f77805" + }, + "research/gauge44-slots-t16/CONSTRUCTION.md": { + "git_blob": "fa156763668d1c761968b6dfaecbb55199904415", + "sha256": "7d96eb958a6b4274ea4c4c539b585f8ae2e89363b76aef930f90d2d513e164ea" + }, + "research/gauge44-slots-t16/code/assembly_controls.py": { + "git_blob": "096ba9cdfe9b5188b54768b845161014c5fb9a76", + "sha256": "da7e981ae1b9f099d4e1524cb4f3ba1116011936ebe378692889b5dbfa99029d" + }, + "research/gauge44-slots-t16/code/invoice_allcold.py": { + "git_blob": "d1dd2212917ad1e7f099287a141f741fd52bdcf6", + "sha256": "71eb57514e28ced97251e0507105f654f59885ec4d40486a780bf166098858a8" + }, + "upstream/build/sections/02-streams.tex": { + "git_blob": "088fceea1867abc76271d7efe7532b779fee9039", + "sha256": "606c80db61cad13aa0c3b6060dc4b88dbbe7ac60cdd831aa93f28d908fd09dab" + }, + "upstream/build/sections/05-layers.tex": { + "git_blob": "5ce8b3c83c455f221bb84858a97230b0285644aa", + "sha256": "20cfc8d12099d4e4ed9e3e7eeb6162edd9b6e0e076f24693364cd24377252594" + } + }, + "selected_archive": { + "members": { + "candidate/strict/global/audit/GLOBAL-PREFIX.json": "8d6bc4f2c747d07bb0cd19fce1c94e0f589dba0b401a5f67cd5676ef7346c201", + "candidate/strict/global/audit/OWNERS-AND-PROFILE.json": "30bafff060afcfb3644e951214d66cfaffe58242881c652e28003958b42127cc", + "candidate/strict/global/audit/PREFIX-AND-INVOICE.json": "212cf4ee3b16081bf66f300fa18b4070d25c17210c21c78c2967892c91870d12" + }, + "sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" + } +} diff --git a/research/centre-code-services/notices/PR2226-NOTICE.md b/research/centre-code-services/notices/PR2226-NOTICE.md new file mode 100644 index 0000000000..5ea70357a0 --- /dev/null +++ b/research/centre-code-services/notices/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/centre-code-services/notices/PR2588-NOTICE b/research/centre-code-services/notices/PR2588-NOTICE new file mode 100644 index 0000000000..46411b80b2 --- /dev/null +++ b/research/centre-code-services/notices/PR2588-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/centre-code-services/notices/PR3133-CREDITS.md b/research/centre-code-services/notices/PR3133-CREDITS.md new file mode 100644 index 0000000000..24f00912d4 --- /dev/null +++ b/research/centre-code-services/notices/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/centre-code-services/notices/PR3133-NOTICE b/research/centre-code-services/notices/PR3133-NOTICE new file mode 100644 index 0000000000..89c20926ea --- /dev/null +++ b/research/centre-code-services/notices/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/centre-code-services/notices/UPSTREAM-NOTICE b/research/centre-code-services/notices/UPSTREAM-NOTICE new file mode 100644 index 0000000000..59d8e0cf31 --- /dev/null +++ b/research/centre-code-services/notices/UPSTREAM-NOTICE @@ -0,0 +1,415 @@ +A sharper exponent for integer multiplication +Copyright 2026 Douglas Colkitt + +This project includes unmodified source files from OpenAI's manuscript +"Integer multiplication below n log n" and its accompanying repository: +https://github.com/openai/math +Commit: adc7f1241b42e322a6451854ab7e4b4c146bf78a + +The original manuscript identifies OpenAI as its author. Its Apache-2.0 +license is retained at upstream/LICENSE. The exact source URLs and hashes +are recorded in upstream/manifest.json. Proposed modifications are supplied +as separate files under patches/; upstream source files remain unchanged. + +The original local research note, scripts, certificates, patches, and +documentation were prepared by Douglas Colkitt with assistance from OpenAI +Codex. The community release incorporates work by the contributors identified +in the notices below; it is not solely Douglas Colkitt's work. +This project is not an official OpenAI release or an OpenAI endorsement. + +Related contributions (not imported in this checkpoint): +Zhihao Chen (jacklightChen), PR #7, supplied an earlier ternary five-subset +motif, finite-alphabet transfer and a different compressed producer: +https://github.com/CrocSwap/integer-mult-bounds/pull/7 +The present checkpoint claims no priority for that motif. Related compressed +complex-network work was submitted by eumemic in PR #3: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +The pending contributions and their stronger bounds require their own review; +this notice does not represent adoption or verification of their claims. + +Additional community work, including parallel and superseded submissions, is +acknowledged in CONTRIBUTORS.md, with pinned submission metadata in +docs/research/contribution-snapshot.json. These acknowledgements do not imply +joint authorship of the checkpoint, incorporation of pending code, or verification +of submitted mathematical claims. Original source-specific notices remain in force. + +Community release (accepted by conditional maintainer audit): +The following original contributor notices apply to the imported PR #39 chain. +The preceding non-import statements describe the preserved 2^-30 checkpoint. + +Ternary five-subset construction and common-four-point resynthesis +Copyright 2026 Zhihao Chen (jacklightChen) + +This is Zhihao Chen's first submission of this specific construction to this +repository. Research, proof development, code and verification were prepared +with substantial assistance from GPT-6 Astra (OpenAI Codex), as identified by +the contributor. This is not independent review or an OpenAI endorsement. +Future research building on this contribution should explicitly acknowledge +Zhihao Chen (jacklightChen), cite the accompanying note and pull request, and +retain the preceding contributors' attribution. This notice records research +provenance; the repository's Apache-2.0 license remains unchanged. + +Dependencies retained from eumemic's Claude-assisted PRs #3 and #5: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +https://github.com/CrocSwap/integer-mult-bounds/pull/5 +PR #5 commit: d3d370c34937503bd3fa63c83d505a05e8e50893 +These include complex_circuit.py, complex_network.py, fast_gaussian.py, +their generators, construction notes and certificates. The Gaussian input +scaling proof is corrected in this derivative; see the modification notice below. +Aligned pairing also appears in Bortlesboat's PR #2. Retained totals and bank +sharing appear in dleen's PR #4 and cheaper retained centers in eumemic's PR #6. +Their results and ideas are credited separately from this new construction. + +Bulk recursion and controlled tensor basis, 8 October 2026 +Copyright 2026 icekylinx + +The new projector batching, controlled simultaneous basis, mixed-width tape +recursions, whole-residual complex recursion, and dependency-path precision +guard in the batched-23 proof package are contributed by icekylinx, developed +with substantial OpenAI GPT-6 Astra assistance. Review corrections and +repository integration were prepared with OpenAI Codex assistance. They build on the retained +PR #7 finite producers and the preceding contributions credited above. +The new package retains the repository's Apache-2.0 license and the original +authors' attribution. It is not an official OpenAI release or endorsement. + +Modification notice, 8 October 2026 (icekylinx): the retained fast Gaussian +proof now bounds shifted approximation error by F=2^ceil(1.14 alpha^2). +The P=34p precision budget and asymptotic exponent are unchanged. New batching +checks are integrated into make verify. Existing attribution and licenses +are retained. + +Partial-swap extension, 8 October 2026 +Copyright 2026 icekylinx + +The partial-swap framing, binary retained-total triple construction, +dependency-preserving positive labels and carrier reuse, unequal (25,23,57) +common basis, improved complex batching, and exact assembly are contributed +by icekylinx with substantial OpenAI GPT-6 Astra and Codex assistance. +This extension directly inherits PR #10, commit +62691e395a0458ce089a1c7b5d89e74291e95e29. The portable producer adapters +modify the retained paired-exclusion and shared-point implementations credited +above. The original licenses, attribution, and Gaussian correction are retained. + +Endpoint-gauge extension, 8 October 2026 +Copyright 2026 icekylinx + +The complementary auxiliary endpoint gauges, (32,30,40) controlled basis, +general nondegenerate binary phase residuals, retained-center complex producer, +updated path guard and exact assembly are contributed by icekylinx with +substantial OpenAI GPT-6 Astra and Codex assistance. This extension inherits +f2ab41aebad47861caf6316282c1793e5513845e and its PR #10 ancestry. New portable +adapters retain the paired-exclusion and shared-point contributions credited +above. Original licenses, notices and the Gaussian correction are retained. + +Structured-basis and semantic-bulk extension, 8 October 2026 +Copyright 2026 icekylinx + +The selected (32,30,36) bit construction, A1/A5 block refinements, fixed +middle-axis I+J profiles with bounded-minor CRT certificates, mixed dyadic +complex centers, complete data-front batching and circuit-specific assembly +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. The immediate parent is ed90fd940279c336ebc45968631bdebfb087b505. + +The semantic/bulk compatibility argument, literal scalar charge, product row +stock and parameterization adapt Zhihao Chen (jacklightChen)'s PR #23, +commit 661ebabc1076c9f525d7ce4967c876b203fa9827. Translated complex endpoints +are adopted from the same contributor's PR #21, +commit 5ba6cf0bfb68f2be8d15610e7972207c50254d6a, following eumemic's source-frame +work and the earlier nested-basis contributions. + +Completed-child semantic precision, arbitrary-coordinate routing, phase-cell +Gaussian inversion and bulk tape transfer are credited to the RaD project +(hipotures), commit 45d9b60355872041f9275f77c057514def0d45bc, exposed through +PR #20 at 4f8d6c8272b5ff307a0da51df545ec3cd96a8b6e. Their selected proof +sources retain their separate CC0 license and original NOTICE under +references/semantic-bulk/rad20. The PR #23 source retains its recorded OpenAI +Codex assistance; RaD retains its recorded Codex and GPT-6.1-Sol Ultra +assistance. These are source attributions, not claims about this session's +runtime model. Related contributions by Rohan Arun and Aurel Prosz remain +acknowledged in the imported notices. No exclusive priority or additional +license condition is asserted. + +Copied retained-center extension, 8 October 2026 +Copyright 2026 icekylinx + +The copied retained-center schedule in both orientations, its complex-phase +transfer, the Wm-N+L rank budget, and the selected (25,23)/(28,28) composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. This extension inherits PR #32 at +0ef3aeb61f55cc0b321ce6a0ef00acee25cefe52 and the preceding PR #10/#18/#24 work. + +The two-stage topology and paid copied-stream endpoint correction are due +to Aurel Prosz (Paureel), c82d09eb4781b68435e3fa3eb6beea72fa900fab, +through Zhihao Chen (jacklightChen)'s PR #29 unequal-axis composition, +9d963275075fa98f1da821e27757b238dafd6b3c. That source also credits Swapnil +Jain's two-stage development at ae405eb474d1486b2d8aef90139869f927f4836a. + +The contiguous corner method, incidence factorization and exact partition +certificates are due to Rohan Arun (PR #31), method commit +02f68f95369c39955c5ffcfddbd75cd83e26b305. The selected (25,23) certificate +specializes Dominik Scholz's parameterization (PR #33), +a499a345c040aa15b68e984a0904eadc485c7a7e. Their source notices and proof +snapshots are preserved in references/copied-centers. Historical OpenAI +Codex, GPT-6 Astra and Anthropic Claude Opus 5.5 assistance is credited to +the respective imported sources. Existing PR #21/#23 and RaD attribution, +licenses and the Gaussian correction remain in force. + +Copied centers with reversed (23,25) data corners, 2026-10-08 +Rohan Arun with substantial OpenAI Codex assistance supplies the composition, +exact dimension23 controls and cost/assembly integration. James Chang's PR34 +supplies the reversed boundary family; icekylinx's PR36 supplies copied retained +centers and the selected complex graph. The balanced assembly remains attributed +to RaD/hipotures and its PR34 specialization. Retain Dominik Scholz PR33, Rohan +Arun PR31, Zhihao Chen PR29/21/23, Paureel/Aurel Prosz, Swapnil Jain, icekylinx, +eumemic, Douglas Colkitt, OpenAI and all earlier notices and hypotheses. +This is not a claim of formal verification, new foundational rank identities, +global optimality or measured runtime speedup. + +Fixed middle basis with copied reversed corners (2026-10-08): +Rohan Arun, with substantial OpenAI Codex assistance. Composition and +simultaneous-basis proof retain icekylinx PR32/36, James Chang PR34, +Dominik Scholz PR35/38, Zhihao Chen, Paureel, Swapnil Jain, RaD/hipotures, +eumemic and all preceding attribution and licenses. See research/copied-fixed-reversed. + +Changed-graph composition with copied centers and fixed bases, 8 October 2026 +Prepared with OpenAI Codex assistance. +The new composition uses icekylinx PR36 copied centers and PR32 fixed-I+J +projectors/profiler, Dominik Scholz PR35 two fixed factors and CRT argument, +Zhihao Chen (jacklightChen) PR29/23 interfaces, Aurel Prosz (Paureel) and +Swapnil Jain's two-stage development, Rohan Arun PR25/31 corner methods, +Dominik Scholz PR33/38 dimension/composition work; James Chang (jamesyc) +PR34 reversed geometry and balanced transfer; Rohan Arun PR37/39/40 +reversed integration, modular data tests and both-fixed baseline; +RaD (hipotures) PR41 changed scalar DAGs, alternating point order and +independent role compiler; RaD balanced routing/bulk interfaces, and all +retained predecessors. +Complete attribution and the conditional proof boundary are recorded in +research/copied-fixed/PROOF.md; imported originals and source pins are retained. +Original Apache-2.0 and CC0 notices remain applicable. + +Community follow-up integration (PRs #49, #45 and #26), 8 October 2026: +Rohan Arun contributes weighted carrier matching and climbed summand/leave-one-out +orders (PRs #44/#47/#49), with Anthropic Claude assistance. The final construction +composes Chafik Boukhalfa's changed-graph checks, exact rational data recovery and +reordered exclusion sums (PRs #43/#46/#48, OpenAI Codex assistance) with RaD / +hipotures's alternating pair order and independent physical role compiler (#41). +All predecessor attribution and conditional proof interfaces remain in force. + +Alejandro Zarzuelo Urdiales contributes Gaussian parity and canonical arithmetic +proofs, finite tensor execution, profile precision accounting and mixed-center +reference checks (#45), with substantial OpenAI Codex assistance. See +research/gaussian-parity-synthesis/PROVENANCE.md for his full attribution. +Ryan S / princezuda contributes historical Lean certificate arithmetic, algebraic +frame/movement/guard lemmas and independent paired-circuit checks (#26). Original +source notices and historical snapshots are preserved. Neither formal package +claims a full formal proof of the multiplication algorithm or a new kappa. + +Joint frame compilation of skip-prefix strips + +The local compiler and exact finite witnesses were prepared by eumemic with +substantial OpenAI Codex assistance. Avi Eisenberg / ikeboy with Anthropic +Claude assistance supplied the unmodified PR #53 skip-prefix producer. +The pinned PR #48 pipeline is Chafik Boukhalfa's contribution, incorporating +Rohan Arun, RaD / hipotures, icekylinx, Dominik Scholz, James Chang, +Zhihao Chen, Aurel Prosz / Paureel, Swapnil Jain, eumemic, Douglas Colkitt, +OpenAI, David Harvey, Joris van der Hoeven and the earlier contributors +credited in the retained sources. See references/frame-compiler/pr48/NOTICE +and references/frame-compiler/pr53/NOTICE for their original attribution. +No authorship or review by those predecessors is claimed for this compiler. + +Joint dual-skip/frame-compiler composition (2026-10-08) +--------------------------------------------------- +Rohan Gupta / gupt1156 with Anthropic Claude assistance: PR55 dual-skip +scalar graph; original LICENSE and NOTICE are retained under +references/frame-compiler/pr55. eumemic with substantial OpenAI Codex +assistance: PR57 joint reversible frame compiler, serialized physical-word +replay and profile reconstruction. Chafik Boukhalfa with OpenAI Codex +assistance: this composition, independent integration and exact certificate. +Avi Eisenberg / ikeboy, Rohan Arun, RaD / hipotures, icekylinx, and all +predecessor authors retain the notices above and in pinned source files. +No original copyright or Apache-2.0 notice is removed. + +Ranked reclamation after the PR58 joint-dual composition (2026-10-08) +---------------------------------------------------------------- +Chafik Boukhalfa with OpenAI Codex assistance: prioritize retired physical +slots by descending current frame rank, retaining slot ID as the tie-breaker; +complete replay, exact profiles, comparison and adversarial controls. +The dedicated joint_dual_reclaim_compiler.py is derived from eumemic's PR57 +compiler. Its original shared compiler remains byte-identical. The PR55 +producer and all preceding attribution remain unchanged. The complete PR58 +comparison certificate and its original source/proof provenance are retained +under references/frame-compiler/pr58. + +Skip-prefix strip producer, 8 October 2026 +By Avi Eisenberg (ikeboy), with Anthropic Claude (Claude Opus 5.5) +assistance. The skip-prefix leave-one-out strip layout in +research/skip-strips/skip_graph.py is new. Everything else reuses Chafik +Boukhalfa's PR #43/#46/#48 research/copied-fixed pipeline, its verification +code, exact data recovery and support-order sorting, together with: +- Rohan Arun's PR #44 weighted carrier matching optimizer; +- RaD (hipotures) PR #41 alternating point order; +- every predecessor credited above. +Complete attribution and the conditional proof boundary are recorded in +research/skip-strips/PROOF.md. Original Apache-2.0 and CC0 notices remain +applicable. + +Local split-pair skip-prefix research continuation (2026-10-08) +Prepared with substantial OpenAI Codex assistance at the user's request. +New contribution: singleton/pair recursive partition refinement, finite summand +order and moment search, and verified composition with inherited paid clones. +Avi Eisenberg/ikeboy with Anthropic Claude assistance: PR53 skip-prefix strips. +Chafik Boukhalfa with OpenAI Codex assistance: PR54 original-envelope clone +specialization and PR43/46/48 checking interfaces. RaD/hipotures: PR51 +whole-chain/source-partition cloning and earlier producer/interfaces. +Rohan Arun: PR44 weighted matching and earlier fixed/reversed work, with all +stated historical AI assistance. All predecessor notices remain applicable. + +Original-envelope whole-chain clones on skip-prefix strips (research/skip-clones): +Chafik Boukhalfa, prepared with OpenAI Codex assistance. The complete-chain +source-partition clone operation is adapted from RaD / hipotures, PR #51, +with original envelopes retained here. The scalar base is Avi Eisenberg's +PR #53 skip-prefix layout, prepared with Anthropic Claude assistance. +All credited PR #43/#46/#48, PR #44 and earlier code/proof notices remain +in force. This extension is provided under the repository's Apache-2.0 terms. + +Community review checkpoint #50–#61, 8 October 2026 +Maintainer integration and independent arithmetic: Douglas Colkitt, with OpenAI Codex. +Avi Eisenberg / ikeboy: skip-prefix strip framework (#53), with Anthropic Claude. +Rohan Gupta / gupt1156: parallel order search (#50, stated Antigravity assistance) +and dual-suffix strips (#55, Anthropic Claude assistance). +Eumemic: equal-frame joint compilation and paid signal reclamation (#57), with Codex. +Chafik Boukhalfa: original-envelope paid clones (#54), composition (#58) and ranked +reclamation (#60), with Codex. Rohan Arun: order search (#52) and positive-frame +composition (#56), with Anthropic Claude and stated Codex validation assistance. +RaD / hipotures: enlarged frames, source partitions and paid whole-chain clones +(#51), with Codex. Rohan Garg / rohangar1: singleton/pair recursion and paid-clone +composition (#59), with Codex. Alejandro Zarzuelo Urdiales: exact parameter +refinement, scoped Lean arithmetic, matrix/parity and search tools (#61), with +his disclosed multi-tool and Codex assistance. +Parallel #50/#52 records are reviewed and credited without replacing the earlier +climbed-48 implementation; their exact commit history is retained. The separate +#51 witness is retained as research; its source-graph/negative-basis data proof +has not received the same full replay as #56's consumed compiler machinery. +See docs/research/community-round2-review.md for precise validation boundaries. +All earlier licenses, contributions and notices remain applicable. + +Interval strips and core-aware pair assembly + +The interval leave-one-out strips and the core-aware group-pair assembly in +research/pair-assembly were prepared by Avi Eisenberg / ikeboy with Anthropic +Claude assistance. They build on PR #53's skip-prefix pipeline and its +inherited PR #48 sources. The stacked witness in research/pair-assembly/frame +uses eumemic's PR #57 joint frame compiler unchanged; its driver and verifier +are adaptations of PR #57's skip_frame_compiler.py, skip_frame_compose.py and +verify_skip_frame.py. Original notices are retained. + +Stopped product-ring extension, 9 October 2026 +Copyright 2026 icekylinx + +The opposite-bank generic projector factorization, componentwise atom-ring +adapters, stopped recurrence and outer ordinary-interchange conversion, +aligned pair-star producer with rational centers, exact denominator-21 +grid and selected (23,23)/(24,24) composition are contributed by icekylinx +with substantial OpenAI GPT-6 Astra and Codex assistance. This extension +builds on merged PR #36, 11817ccacb564bb7f98789c20dc11d3fece207e3, and is +integrated on upstream main 56b66d58297deca1d7dd130247d720e960f77a37. + +The retained ordinary leaf uses the preceding projector, corner and +copied-center proofs. The selected two-stage topology retains Aurel Prosz +(Paureel), Swapnil Jain and Zhihao Chen's credits; the semantic assembly +retains PR #21/#23 and RaD's attribution. Paired producers, carrier matching, +original source notices and each imported license remain unchanged. + +Partial-gauge extension, 9 October 2026 +Copyright 2026 icekylinx + +The pair-first cube assembly, compatible backward frame enlargement, +partial source-gauge schedule and stopped whole-projector composition are +contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance, extending PR #104 at 948ce1510df750f4c18b96bdaef436a86f8bf834. + +The physical deferred bit word, reflected event accounting, fan-order +clarification and signed two-stage endpoint are adopted from Zhihao Chen +(jacklightChen), PR #97, e15350b66e4bf796153a68c240a6cc1b788abe3e, with +Codex assistance. Its deferred readouts, V leaves, lifted frames and frozen +witness originate in Swapnil Jain's 741e7aa078392553815df7926ee17ac5e25a8c38, +with the original Claude disclosure retained. Cyclic interval and core-aware +pair primitives build on Avi Eisenberg (ikeboy), PR #62, +ad0f25ff7b23cff7f08ad237c2254e6ecf74257e, with Anthropic Claude assistance. +Prior two-stage, copied-center, ordinary-leaf, semantic/bulk, routing and +precision credits remain in force. Imported source notices and licenses +are preserved under references/partial-gauge/; see SOURCES.json. + +Three-stage cover extension, 9 October 2026 +Copyright 2026 icekylinx + +The arbitrary-subspace Clifford frame theorem, three-stage Cayley geometry, +weighted q-adic GL cover, unit-lower weighted compiler, charged local-ring +fallback, uniform batching, internal row borrowing and exact composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. This +repository integration uses Codex assistance and extends +PR #115, cf60442983c153a3a0f5272ea4713f99eba13c86. + +The selected local complex DAG and support/label replay are adopted from +Copyright 2026 eumemic, PR #117, cbb05ce504d571546d9b7794c186a613c659c3bf, +with its original Apache-2.0 terms and Claude assistance disclosure. +The unchanged bit physical word retains Zhihao Chen (jacklightChen), +PR #97, and Swapnil Jain's underlying witness and assistance notices. +The prior opposite-bank, stopped ordinary-leaf, copied-center, topology, +semantic/bulk, precision and analytic credits remain applicable. +Original source notices and license bytes are preserved in +references/three-stage-cover/pr117/ and references/partial-gauge/. + +Paired-cube and shared-core extension, 9 October 2026 +Copyright 2026 icekylinx + +The paired-coordinate triple-cube identity, signed overlap channels, +original-source involution, coordinate-star centers, concrete frame/carrier +compiler, chronological source gauges, PR97 gauge-subset selection, +orthogonal cross-stage routing and exact supplier/assembly integration +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. +Repository integration uses Codex assistance and extends PR #130 at +6a9970a530119174507904e23592fd59ede19a5d. + +The substantial completed-core workspace-sharing principle is credited to +an664, PR #128, 530588a019b4a74f09180680c9e3961bf649ec89, with its reported +OpenAI Codex assistance. No source code, partition or serialized witness +from that PR is imported. The new routing and paired-motif integration +are described separately and claim no exclusive priority for broad sharing, +paired-coordinate, Fourier or carrier-matching ideas. + +Selected coarse queries restrict the retained eumemic PR #117 positive DAG; +its original Apache-2.0 and Claude assistance notices remain unchanged. +The bit word and original frames retain Zhihao Chen's PR #97 and Swapnil +Jain's frozen witness, notices and historical assistance disclosures. +Earlier generalized Clifford, three-stage, uniform weighted recursion, +ordinary-leaf, semantic/bulk, precision and analytic credits remain in force. +Source-specific license bytes are preserved under references/. + +October 9 recycled-bit integration: +DaysSky (#150), William Porter/hpst3r (#147), Thomas Marchand/Th0rgal (#146), +Rohan Gupta/gupt1156 (#148), James Chang/jamesyc (#124), SovereignSteak (#122). +The original notices and assistance disclosures are retained under research/, +including research/recycled-bit-integration/NOTICE. Andrew Barnes/Bortlesboat +(#101) repairs shared verifiers using rfu08's #64 counterexample. rfu08's +scoped finite and formal-transfer packages are included separately; they do +not establish the full multiplication theorem. Earlier and parallel credits +remain applicable. Douglas Colkitt integrated these with OpenAI Codex assistance. + +SovereignSteak PR151 independently supplies the matching gauge/recycling +composition and the selected 473/10^6 atom refinement; its original package +and assistance disclosure are retained under research/gauge-recycling/. + +October 9 coordinated-frame and completed-entrance-bank integration: +Dugongue PR186, 166a34d75e853e933855f0f7e940fe77c4bb6b8d, builds on +Chafik Boukhalfa/chafreaky's PR181, 7fb2194801e3a10f54772c7f0d5505035a4fc0ad, +and eumemic's PR168 v4, 4a3c769e5c5430e7114c4d3e099ff34664677f17. +The frozen package and prerequisite archive preserve all author, source-license +and assistance notices, including PR175's compiler optimization. DaysSky's +carrier closure, James Chang's terminal substitution and balanced assembly, +geckods' stopping refinements and all preceding framework credits remain. +Rohan Arun's PR185 bootstrap and chafreaky's PR182 bit refinement are reviewed +parallel contributions; their gains are not added to the selected witness. +Douglas Colkitt integrated the package and supplied the bank scheduling +supplement with OpenAI Codex assistance, under Apache-2.0. The all-size +interfaces remain conditional; finite verification is not full formalization. diff --git a/research/centre-code-services/notices/stopped-product-complex.tex b/research/centre-code-services/notices/stopped-product-complex.tex new file mode 100644 index 0000000000..4a9037137c --- /dev/null +++ b/research/centre-code-services/notices/stopped-product-complex.tex @@ -0,0 +1,137 @@ +\subsection{All-disjoint retained centers} +Use two factors $h=24$. For triple inputs write $G=\sum_TX_T$, +$T_i=\sum_{T\ni i}X_T$, and retain all $A_i=G-T_i$. +Each input triple avoids exactly 21 points, so +\[ + \sum_{i=1}^{24}A_i=21G,\qquad G=\frac1{21}\sum_i A_i. +\] +For a target triple $S$ the central correction is +\[ + G-\frac12\sum_{i\in S}A_i + =\frac{\sum_{i\in S}T_i-G}{2}. +\] +An input triple meeting $S$ in $j$ points has central coefficient +$(j-1)/2$. Adding half the disjoint sum and subtracting half the +intersection-two sum leaves coefficient one exactly when $j=3$. +The scalar source-to-scatter transfer is therefore the identity. +The transparent old-value subtraction and new-value addition use this +identity only on fresh contributions and restore arbitrary old values. + +The base-two paired exclusion and aligned pair-star producer retains +nested binary labels: common-pair supports have their orthonormal triple +span, other ordinary sums have their coordinate cover. Each retained +$A_i$ has the nondegenerate coordinate hyperplane excluding $i$, +of dimension 23. Hence all copied-center arguments and general +nondegenerate binary residuals of the preceding proof apply. The +selected local counts are +\[ + v=2024,\quad c_h=45764,\quad q_h=8120,\quad + |\mathcal M|=8966,\quad R=44918,\quad\ell=552. +\] +The old internal histogram, starting at rank zero, is +\begin{small}\begin{align*} +[&8930,49042,30844,15972,11883,8272,6399,4356,6682,2263,\\ + &5109,1808,5317,1733,5391,1757,4908,3290,6233,4363,\\ + &4056,264,564,24,24]. +\end{align*}\end{small} +It has rank mass $24R+2\ell$. Replace 24 rank-24 original transitions +by 24 rank-one transitions; all rank-23 copied transforms remain. +The new mass is $24R+\ell$. + +\subsection{Physical endpoints and strict complex moment} +The copied-center two-stage complex contract in +\path{notes/copied-centers-complex.tex} is unchanged by the scalar +center decoding. For the tensor triple line $U$, let +$T=C_U$, $F=C_I$, $E=C_{U^\perp}=FT^{-1}$. +The two data outputs are $A=-Fy$ and $B=FT^{-2}x+Ey$. +Add $T^{-1}$ applied to a copy of $A$ into $B$, paying one rank-one +child per data pair. The inherited input/output $Z$ phases and +$i^{9f}$ scalar normalize $FT^{-2}$ to $F$; sign and bank corrections +complete the exact tensor $C$. Auxiliary source/sink operators remain +$C_{D_0}$ and $FC_{D_0}$ in the second stage. Every original role +therefore returns the exact selected-axis tensor operation on arbitrary +inputs. This algebraic statement holds over $\mathbb Q(i)$ as well as +over Gaussian dyadics. + +With $m_c=576$, $N_c=v^2=4096576$, $B_c=vR=90914032$, put +\[ + W_c=2N_c+2B_c=190021216,\quad L_c=2v\ell=2234496, +\] +\[ + s_c=W_cm_c-N_c+L_c=109450358336,\qquad N_c-L_c=1862080. +\] +The complete list is $2B_c$ width-552 auxiliary exteriors, +$2N_c$ width-529 data macros, $2vH'_r$ width-$r$ internal children, +$4N_c$ width-23 data fronts, and $N_c$ width-one endpoint copies. +These disjoint classes include both kinds of paid copies and sum to +$s_c$. All binary residuals, including alternating forms, use the retained +one-child Gauss normal form with paid bit adapters and unit phases. +At $a_c=1949/25000000$ the exact rational enclosure gives +\[ + \sum_r\frac{n_r}{W_c}(r/m_c)^{1-a_c} + <1-1.3338373969\times10^{-10}. +\] + +\subsection{One exact odd-denominator grid} +The only new odd divisor is 21. Let $d$ bound the root axis count, +$D$ bound its maximum complex recursion depth, and $G_0$ bound the +number of grouped scalar operations per node. Choose +\[ + K=G_0(D+1),\qquad \text{common grid }2^{-P}21^{-K}. +\] +Root inputs and arbitrary dirty auxiliaries start Gaussian dyadic. +Multiply their integer numerators by $21^K$ once at the outer boundary. +Every local coefficient contains at most one factor 21 in its denominator, +so a local finite program adds at most $G_0$ to the odd-denominator +exponent. A completed $u$-axis child has Gaussian-dyadic coefficients +and therefore preserves its input's existing odd-denominator exponent; +it adds no new odd factor. Only the active chain of unfinished calls +can accumulate new factors. Its length is at most $D+1$, proving that +all intermediates lie on the common grid and every local division by +21 is an exact integer division of its encoded numerator. + +This divisibility claim uses the root dyadic-input invariant, not an +assumption about arbitrary numerators on the finest grid. Internal values +may have odd denominators. They are neither rounded nor re-encoded when +a child returns. At the completed outer return the operator is the exact +Gaussian-dyadic tensor on root dyadic inputs, so the final numerators +are divisible by $21^K$; exact unscaling restores dyadic encoding. + +Since the largest child is $552<576$, $D=O(\log d)$ and +$K=O(\log d)$ with fixed constants. Constant-divisor long division +is linear in numerator length. Initial and final scaling by $K$ +successive constant multiplications/divisions cost $O(V\log d)$ and +occur only at the outer boundary. The extra numerator length is +$O(\log d)$, preserving the retained $O(p)$ word bound. This overhead +is subordinate to the positive-power complex layer bound. + +For explicit semantic constants use +\[ + g_h=4(c_h+v)+10v+4hv+4h^2+8h+8=408200, +\] +\[ + G_0=N_c+2v(g_h+2h)=1656684480, +\] +where endpoint additions and copied-center scalar work are included. +The complete child contributes at most $u$ binary denominator bits +and row-norm factor $2^u$, with no additional odd exponent. A local +21-division contributes fewer than five denominator-height bits, +covered by the fixed scalar charge. Set +\[ +\begin{aligned} + E_0&=64(W_c+m_c+G_0+1)^3=403063477262941121443761178688,\\ + \mathcal E&=2G_0W_c^2+8s_c+4W_c+4+32m_c\\ + &=119639333593035096270287748= 3 * 1024**3, "At least 3 GiB of free disk space is required") + source_count = verify_sources() + output.mkdir(parents=True) + reports = [] + for name, relative, writes_beside_source, filenames in jobs(): + for mode in ("normal", "optimized"): + directory = output / name / mode + directory.mkdir(parents=True) + source = directory / "source" if writes_beside_source else FROZEN + if writes_beside_source: + shutil.copytree(FROZEN, source) + script = source / relative + result = script.parent if writes_beside_source else directory / "result" + command = [sys.executable, "-I", "-B"] + (["-O"] if mode == "optimized" else []) + command += [str(ROOT / "replay.py"), "--worker", str(script), str(directory)] + if not writes_beside_source: + command += ["--output" if name == "fixed_reader_services" else "--out", str(result)] + env = dict(os.environ, OMP_NUM_THREADS="1", OPENBLAS_NUM_THREADS="1", MKL_NUM_THREADS="1") + print("RUN", name, mode, flush=True) + started = time.monotonic() + with (directory / "stdout.log").open("w") as log: + completed = subprocess.run(command, cwd=ROOT, env=env, stdout=log, stderr=subprocess.STDOUT) + require(completed.returncode == 0, "Check failed. Read " + str(directory / "stdout.log")) + matches = {} + for filename in filenames: + actual = (result / filename).read_bytes() + frozen_directory = FROZEN / Path(relative).parent + if name == "fixed_reader_services": + frozen_directory /= "normal" + frozen = (frozen_directory / filename).read_bytes() + if filename.endswith(".gz"): + actual_checked, frozen_checked = gzip.decompress(actual), gzip.decompress(frozen) + method = "decompressed bytes" + else: + actual_checked = canonical_receipt(actual, source) + frozen_checked = canonical_receipt(frozen, source) + method = "all JSON values, with registered source paths made relative" + require(actual_checked == frozen_checked, "Frozen result mismatch: " + name + "/" + filename) + if mode == "optimized": + previous = (output / name / "normal" / "canonical" / filename.removesuffix(".gz")).read_bytes() + require(actual_checked == previous, "Normal and optimized results differ") + canonical = directory / "canonical" / filename.removesuffix(".gz") + canonical.parent.mkdir(exist_ok=True) + canonical.write_bytes(actual_checked) + matches[filename] = {"method": method, "checked_sha256": digest(actual_checked), + "new_file_sha256": digest(actual), "frozen_file_sha256": digest(frozen)} + if writes_beside_source: + changed = {(Path(relative).parent / filename).as_posix() for filename in filenames} + for entry in manifest()["immutable_inputs"]: + if entry["campaign_path"] not in changed: + require(digest((source / entry["campaign_path"]).read_bytes()) == entry["sha256"], + "Copied source changed: " + entry["campaign_path"]) + saved = directory / "result" + saved.mkdir() + for filename in filenames: + shutil.copyfile(result / filename, saved / filename) + shutil.rmtree(source) + reports.append({"check": name, "mode": mode, "seconds": round(time.monotonic() - started, 3), + "results_equal_frozen": matches, "file_access_confined": True, + "checker_sha256": digest((FROZEN / relative).read_bytes())}) + print("PASS", name, mode, flush=True) + require(verify_sources() == source_count, "Source count changed") + receipt = {"status": "PASS_CENTRE_CODE_SERVICES", "immutable_inputs": source_count, + "checks": reports, "normal_optimized_equal": True, "frozen_sources_unchanged": True, + "python": platform.python_version(), "platform": platform.platform(), + "replay_sha256": digest(Path(__file__).read_bytes()), + "source_manifest_sha256": digest((ROOT / "SOURCE-MANIFEST.json").read_bytes()), + "scope": "Exact local services, conditional code identities, and six forward D25 joins. Native phase files are checked by hash; the spatial phase interpreter is not rerun. No complete caller or kappa claim."} + (output / "REPLAY.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(receipt["status"], flush=True) + + +if __name__ == "__main__": + if len(sys.argv) > 1 and sys.argv[1] == "--worker": + worker() + else: + main() diff --git a/research/publication-reviews/centre-code-services/NOTICE-SOURCE-AUDIT.json b/research/publication-reviews/centre-code-services/NOTICE-SOURCE-AUDIT.json new file mode 100644 index 0000000000..d714f994c9 --- /dev/null +++ b/research/publication-reviews/centre-code-services/NOTICE-SOURCE-AUDIT.json @@ -0,0 +1,107 @@ +{ + "checks": [ + { + "exact_bytes_equal": true, + "git_blob": "46411b80b277d7dcd653a6d1999eaf12975b1103", + "retained_path": "notices/PR2588-NOTICE", + "sha256": "a91b93a731f116ae55b3644c88232b4d996e58bb810e2559dec013f9788f5e4b", + "source_record": "PR2588-NOTICE-EXACT-SOURCE.json", + "source_record_sha256": "2254796843f39589d257bbc248229fa07e3349d97d1dec67ca6d7f3479fb6698", + "url": 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under stated commutation or routed operator premises.", + "Exact fixed-reader phase inverse at every positive tensor width, with necessary odd factors 3 and 5.", + "Actual B and H scalar words, prices, and local prefix bounds.", + "Rank-16 whole-bank response code, exact odd scans, and valid-image or generic-grid contracts.", + "Rank-30 unnormalised code image, complete syndrome tests, and literal capture/action/decode words.", + "Conditional whole-state matching-type composition and decoded-child-entry height bound.", + "Six regular-D25 joined forward services under the inherited helper and full-cover contracts." + ], + "ai_assistance": "Substantial OpenAI Codex assistance in this review. Separate agent review is not independent human review.", + "cold_replay": { + "aggregate_seconds": 37.347, + "all_passed": true, + "checks": 14, + "command": "python3 -I -B /private/tmp/centre-code-services-independent-20261022/package/replay.py --output /private/tmp/centre-code-services-independent-20261022/replay", + "cwd": "/private/tmp", + "frozen_sources_unchanged": true, + "modes": [ + "normal", + "optimized" + ], + "normal_optimized_equal": true, + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "program_comparison": "Exact decompressed bytes.", + "python": "3.14.7", + "receipt_comparison": "All JSON values after only registered source-path normalization.", + "results": [ + { + "check": "moving_entry", + "checker_sha256": "bf8c7a1925651656dc0c442c771a8d9175d852eebb6d38f9b144d08c53a68e4a", + "mode": "normal", + "seconds": 0.566 + }, + { + "check": "moving_entry", + "checker_sha256": "bf8c7a1925651656dc0c442c771a8d9175d852eebb6d38f9b144d08c53a68e4a", + "mode": "optimized", + "seconds": 0.588 + }, + { + "check": "phase_inverse", + "checker_sha256": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010", + "mode": "normal", + "seconds": 5.313 + }, + { + "check": "phase_inverse", + "checker_sha256": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010", + "mode": "optimized", + "seconds": 4.66 + }, + { + "check": "centre_constants", + "checker_sha256": "d0c35dd95bb1a39190bc090f768f3dbbb9c542fddf05f96b6ea3dc4c2e070553", + "mode": "normal", + "seconds": 1.005 + }, + { + "check": "centre_constants", + "checker_sha256": "d0c35dd95bb1a39190bc090f768f3dbbb9c542fddf05f96b6ea3dc4c2e070553", + "mode": "optimized", + "seconds": 0.995 + }, + { + "check": "clique_grid", + "checker_sha256": "ff5da956d2ad49b12dc5e62d27cf75d0cdbadacee5fd2199895fef49a635ec53", + "mode": "normal", + "seconds": 2.518 + }, + { + "check": "clique_grid", + "checker_sha256": "ff5da956d2ad49b12dc5e62d27cf75d0cdbadacee5fd2199895fef49a635ec53", + "mode": "optimized", + "seconds": 2.592 + }, + { + "check": "unnormalised_code", + "checker_sha256": "1f4a66c49cda7c42f0c34d9321de36799ec9b295896f67086782587585dcafd0", + "mode": "normal", + "seconds": 2.724 + }, + { + "check": "unnormalised_code", + "checker_sha256": "1f4a66c49cda7c42f0c34d9321de36799ec9b295896f67086782587585dcafd0", + "mode": "optimized", + "seconds": 2.752 + }, + { + "check": "capture_word", + "checker_sha256": "6a56d289c9b3f39be98f9ed9818b53cad3c08aefe7dd9bc5e666ea0cefea3786", + "mode": "normal", + "seconds": 0.656 + }, + { + "check": "capture_word", + "checker_sha256": "6a56d289c9b3f39be98f9ed9818b53cad3c08aefe7dd9bc5e666ea0cefea3786", + "mode": "optimized", + "seconds": 0.901 + }, + { + "check": "fixed_reader_services", + "checker_sha256": "0f34e7a3cebebdf4d43226104079cf0d4038fcdeac9ae3ab5165276b9df61974", + "mode": "normal", + "seconds": 8.033 + }, + { + "check": "fixed_reader_services", + "checker_sha256": "0f34e7a3cebebdf4d43226104079cf0d4038fcdeac9ae3ab5165276b9df61974", + "mode": "optimized", + "seconds": 4.044 + } + ], + "runtime_inputs_equal_final_package": true + }, + "cold_replay_receipt_sha256": "58faf3980f79fd73c578fee5563493f7d56fbd7f67aef12a794caec494db1dcc", + "material_dependency_gaps_within_claimed_scope": [], + "not_verified": [ + "Archived producer emitters and the inherited 4194304-coefficient native spatial phase interpreter.", + "A complete helper host, finite map prices, native-child precision, or recursive supplier.", + "A literal full native backward service.", + "A productive interleaved caller, final raw decoder, or complete borrowed-state restoration beyond each stated local contract.", + "The selected-frontier replay, a new kappa, or the full multiplication theorem.", + "Lean formalization, independent human review, GitHub rendering, or publication." + ], + "notice_source_audit_sha256": "775d398478a5b552120a48b8aa87cca1c5c91f6772824a049f361db65c3a3b8c", + "package": "packages/centre-code-services", + "package_bytes_including_manifest": 11823841, + "package_files_including_manifest": 277, + "package_listed_files": 276, + "package_manifest_sha256": "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da", + "reference_manifest_sha256": "504a43a00b79e766bcfdef9b66e1b1f0e5935acb6488edc08844317d640e9c3d", + "replay_sha256": "f7fdc0e8286dfec15eab715c0cdf9b043eabf2a3110d0a3c22aab2847f1838f8", + "resolved_findings": [ + { + "finding": "State positive tensor width for the exact physical phase-inverse norm.", + "resolution": "Final README includes the qualification. Frozen source and replay bytes are unchanged." + }, + { + "finding": "A new source receipt named a nonexistent retained path for the common-grid source.", + "resolution": "The receipt now names notices/stopped-product-complex.tex. Exact pinned Git bytes and final manifest pass." + } + ], + "review_date": "2026-10-22", + "review_md_sha256": "f756974fa402e991615e44e635abc5fdc564bfd56124f491574a35374aa7678e", + "reviewed_package_manifest_copy_sha256": "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da", + "reviewer": "Independent OpenAI Codex agent /root/tagged_reset_package", + "source_audit_sha256": "92c92bacaee6b2e9fcb364e56b7afec5c7d2c51950b1f5e8ae106f3dae350b0b", + "source_integrity": { + "all_campaign_bytes_equal": true, + "all_package_files_equal_manifest": true, + "cold_copy_to_final_changes": "README positive-width and open-question text; added reference, notice, provenance, and evidence files. No runtime closure change.", + "historical_reference_inputs": 8, + "join_closure_files": 90, + "network_requests_in_this_review": 0, + "new_document_local_links_checked": 48, + "notices_verified_against": "Exact available Git objects and retained authenticated GitHub readbacks.", + "runtime_or_proof_inputs": 170 + }, + "source_manifest_sha256": "e1aef67ec191175c4387c5e8ba8c28fa2a6ed664507b4af2efe9c790c9246ea4", + "status": "ACCEPT_SCOPED_CENTRE_CODE_SERVICES", + "unresolved_findings": [] +} diff --git a/research/publication-reviews/centre-code-services/REVIEW.md b/research/publication-reviews/centre-code-services/REVIEW.md new file mode 100644 index 0000000000..5e6fe291af --- /dev/null +++ b/research/publication-reviews/centre-code-services/REVIEW.md @@ -0,0 +1,179 @@ +# Independent review of centre code services + +Accepted for the stated local services and conditional composition theorem. +No material finding remains open. This review does not establish a complete +supplier, a new multiplication theorem, or a lower kappa. + +The reviewed [package](../../centre-code-services/README.md) has +manifest SHA256 +`2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da`. +The [saved manifest](REVIEWED-PACKAGE-MANIFEST.json) lists 276 files. The +package has 277 files including that manifest, with 11823841 bytes in total. +The [source audit](SOURCE-AUDIT.json), [notice audit](NOTICE-SOURCE-AUDIT.json), +and [cold replay receipt](cold-replay/REPLAY.json) bind this verdict to those +files. The review was done by a separate OpenAI Codex agent. It is not an +independent human review or a formal-kernel proof. + +## Scope and proof review + +The complete source proofs and their retained independent reviews were read. +The seven replay checkers and the code used for their mathematical checks +were read. The review also covered the common-grid and fixed-odd scan +dependency, the whole-state type proof, the actual D25 join proof, its +retained-reader query proof, and the inherited local native phase review. +The [proof index](../../centre-code-services/PROOFS.md) links these +sources. The following distinctions are required for acceptance. + +**Moving entry.** The four ordered updates implement +`((I-JD)a+Jz, Da)` when `DJ=I`. Direct substitution proves both the +arbitrary-input endpoint and the involution. One use stores the old centre +bank in the data. It does not erase or restore that bank. The actual entry +is the conjugate by `L=Q^2`, so both translation passes are required. +The separate bank contains 30 or 16 fields. The square code on 112 data +fields is a different storage contract and has its own inverse. + +The rank-30 square section uses an actual unit minor with determinant +`-1/256` and integral inverse. The sum-code claim requires dyadic `U`, `V`, +and `U_P^-1`; the minor hypothesis alone does not suffice. The frozen root +text is read with its explicit proof addendum. The new README states the +full qualification. For the older fixed reader, `QU` is a section of +`T^-1 VQ`, not of `VQ`. + +**Transport.** The four code types retain their operator order. Every +advance needs the stated commutation premises. A routed advance must +satisfy the actual matrix relation or a proved connecting operator. +Nominal frame names do not imply this. The encoded exit requires the +ordered raw decode `Q C^-1 Q`, and the physical cross-bank calls retain +their odd phase. The four-step cycle is not an admitted interleaved caller +and does not remove the final code at an odd cut. + +**Fixed-reader phase inverse.** The checker verifies both product orders +of the supplied exact inverse certificate on all 512 characters. The +translation group and XOR character argument extend the identity to every +positive tensor width; this is not an extrapolation from width samples. +The physical inverse has 2712 terms, common denominator 120, and exact +infinity norm `88/5`. Explicit coefficients require both odd factors 3 +and 5. The additive reader service retains an arbitrary centre baseline +through its paid multiply/add/divide word. The complete swap costs 208028 +old dyadic real primitives, 12072 translation calls, and 60 real scans in +each direction at 15. It still has the fixed-reader terminal mismatch. +The review checks a certificate, not a second inverse-finding algorithm. + +**Constant and rank-16 code services.** The actual `B` and `H` matrices, +both inverse orders, scalar words, prices, and prefix bounds agree. The +rank-16 scalar centre action works under independent linear field frames; +it does not supply or admit those fields. The whole-bank response code +has eigenvalues `1` on 96 dimensions, `-5` on eight, and `-7` on eight. +Its two exact words each use 3420 old real scalar primitives plus 32 +real fixed-odd scans. This response code is distinct from the unitary +`C16` packing in the encoder package. + +The signed scan proof gives exact division only on its declared integer +domain. The checks cover the finite carry state and sign rules, valid-image +decoding, and generic-grid requirements. Odd scan costs do not include +unpriced descriptor work. A valid code image and an arbitrary rational +input are different contracts. + +**Rank-30 rational capture.** The code image has exact quotient +`(R0/3R0)^11 direct-sum (R0/5R0)^11`, where `R0=Z[i,1/2]`. +The syndromes, explicit right inverses, and Chinese remainder argument +prove the image test. The argument correctly treats `R0/5R0` as a split +ring, not as `F25`. The complete matrix test includes helper and address +columns. The data-ADD and helper-ADD failures demonstrate why a middle +operation needs an image-preservation proof. + +The literal capture and inverse each use 2910 old real scalar units and +44 real odd scans. Their complete action chains use 6090 old units plus +22 real multiplications and 22 real divisions at each of 3 and 5. The +checks cover all 640 arbitrary input columns and keep 528 outside roles +fixed. Valid code chains have exact divisions without an odd root scale. +These common-frame scalar words do not establish physical native capture. + +**Conditional type theorem.** The whole-state endpoint is +`C_out A C_in^-1` with a dyadic semantic `A`. Equal adjacent types cancel +in order, without a commutation assumption. The theorem requires a bound +at each decoded child entry and within each local prefix. Under those +premises it gives odd height at most `(D+1) ell_p+c_p`. The root needs an +identity type or paid encoding. Exact final unscaling needs a dyadic +physical endpoint, and a raw result needs removal of the final code. +The finite noncommuting-code example and failed mismatched-code control +support these distinctions; they do not discharge a complete caller's +premises. + +**Six D25 forward joins.** The checks cover two providers and the three +pairs `(s,t)=(0,1),(0,2),(1,2)`, on all 640 input columns. The retained +reader index is `s`; the physical entry level is `t-1`. In particular, +pair `(0,2)` starts at physical level one. The bank baseline is arbitrary. +The exact content relation, DATA phases, route involutions, and complete +regular-cover barrier support the joined service. A query after each +single body would need a separate source-availability proof. + +The service has 17624 scalar primitives, rank mass 1792, and 5776 +monomial map calls. The join introduces no new field or odd division. +The inherited 416-role helper supply and restoration contract remain +premises; the DATA partition does not construct that host. The replay +checks all 35 consumed phase-source hashes and the new phase equations. +It does not rerun the inherited 4194304-coefficient spatial interpreter. +An abstract inverse-adjoint identity does not supply a literal complete +backward native service. No such service is claimed in this package. + +## Fresh checks and source integrity + +The package was copied to a new directory outside the repository. The +following command ran from `/private/tmp`, with one process at a time: + +```sh +python3 -I -B /private/tmp/centre-code-services-independent-20261022/package/replay.py --output /private/tmp/centre-code-services-independent-20261022/replay +``` + +It returned `PASS_CENTRE_CODE_SERVICES`. All seven checks passed in normal +and optimized Python, for 14 runs in total. Their accumulated measured +time was 37.347 seconds. The runtime was Python 3.14.7 on macOS 26.6.1 +arm64. The run used the standard library and had more than 8 GiB free. + +The decisive checks cover arbitrary-state swap endpoints and restoration, +both code inverse orders, exact division domains, image-preservation +failures, unequal repeated types, and wrong DATA phase order. Both +compressed program outputs match after decompression. Every receipt value +matches after only the registered source-path conversion. Normal and +optimized results match. All 170 runtime and proof sources retained their +hashes before and after the run. The access records show that the checkers +used the copied package, fresh output, or Python runtime. This audit is +not a security sandbox. + +The final package was completed after that cold copy. The only changed +existing file is README.md: it restricts the phase inverse statement to +positive tensor width and adds the open questions. Added files are source +references, notices, provenance, and evidence. The replay program, +CHECKS.json, SOURCE-MANIFEST.json, PROOFS.md, and all 170 replay inputs are +unchanged. The [audit script](audit_package.py) checks this binding against +the [pre-replay snapshot](PRE-REPLAY-PACKAGE-HASHES.json). + +All 178 retained campaign files match their original bytes: 170 runtime +or proof inputs and eight historical reference records. All 90 files in +the separately assembled D25 join closure are present with equal hashes. +All package files match the final manifest. All 48 local links in the +four new prose documents resolve. Exact Git objects verify the common-grid +source, license, and upstream notice. The retained authenticated GitHub +readbacks verify the native source hashes and both PR2226 notices. No new +network request was made for this review. + +## Findings and limits + +Two small documentation changes were completed before acceptance. The +phase-inverse summary now states positive tensor width. A copied source +receipt now names the actual retained common-grid path under `notices/`. +The corrected receipt and its manifest were checked. Neither change +alters a frozen source or a replay input. No repair or new research was +needed to support the accepted claims. + +This review did not rerun archived producer emitters, the full native +spatial phase suite, a complete recursive supplier, the selected-frontier +replay, or Lean. Native-child precision, helper hosting, finite map prices, +productive interleaving, final code removal, and full caller restoration +remain the explicit obligations stated in the package. The historical +sources are not transplanted into the current selected construction. +Publication, GitHub link checks, and rendered PR checks are separate work. + +The final source and notice scope is sufficient for this package. No +unresolved dependency gap was found within the seven selected checks. diff --git a/research/publication-reviews/centre-code-services/REVIEWED-PACKAGE-MANIFEST.json b/research/publication-reviews/centre-code-services/REVIEWED-PACKAGE-MANIFEST.json new file mode 100644 index 0000000000..db3804a47c --- /dev/null +++ b/research/publication-reviews/centre-code-services/REVIEWED-PACKAGE-MANIFEST.json @@ -0,0 +1,1385 @@ +{ + "files": [ + { + "bytes": 779, + "path": "CHECKS.json", + "sha256": "07152f365e3114e3512a1233f89bb4ac14cad58b399603b7b1773bd1ca08f82a" + }, + { + "bytes": 2783, + "path": "NOTICE.md", + "sha256": "b7d79088a82bdf51db6833d6ab51d67d7375aab6400b54de0ea278add5683e6f" + }, + { + "bytes": 3690, + "path": "PROOFS.md", + "sha256": "22a1e2332ec3f45b3568dbbdf3a53044e4cf58ddbff8f860c687d63c72e9d955" + }, + { + "bytes": 4650, + "path": "PROVENANCE.md", + "sha256": "f44f180272351ce6f12c6528c863ab300ec250f5d4bdeec81739a1db1af2d2f5" + }, + { + "bytes": 12995, + "path": "README.md", + 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"frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/EXTENSIONS-FREEZE.json", + "sha256": "aec99dd0638e635619b14ffd056ab2581424d765d435462aed94b8c8f882a689" + }, + { + "kind": "historical_reference", + "path": "frozen/lanes/independent-review-20261017/response-extensions-review-20261020/FREEZE.json", + "sha256": "1c20e6736b1109ce10746472d3e00d464d5ea2629fe30c37a9d51bd5b74feedc" + }, + { + "kind": "historical_reference", + "path": "frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/NATIVE-FREEZE.json", + "sha256": "efdf8acc943934e83374f986a4a9a6f49ab7607a4f4e8d2973ec71cd5e1c5e24" + }, + { + "kind": "historical_reference", + "path": "frozen/lanes/independent-review-20261017/rank-thirty-review-20261020/FREEZE.json", + "sha256": "15c54c0f0d0f33bdcf420a4c7610d55fff6104fe22d2c4ade8ae9255a3ff8189" + } + ], + "status": "PASS_FINAL_PACKAGE_AND_COLD_SOURCE_BINDING", + "upstream_git_object_checks": [ + { + "git_blob": "4a9037137cd3158dbeca6d9e3b1881a599ebfcb5", + "git_object": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f:notes/stopped-product-complex.tex", + "sha256": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a" + }, + { + "git_blob": "261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64", + "git_object": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f:LICENSE", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + }, + { + "git_blob": "59d8e0cf3102e15bd11db430838365531e2d7f18", + "git_object": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f:NOTICE", + "sha256": "b49022cb4104d90b182e4c335f670faf45529025b15db77bf0291835083c28bd" + } + ] +} diff --git a/research/publication-reviews/centre-code-services/audit_package.py b/research/publication-reviews/centre-code-services/audit_package.py new file mode 100644 index 0000000000..09dfe21c30 --- /dev/null +++ b/research/publication-reviews/centre-code-services/audit_package.py @@ -0,0 +1,120 @@ +#!/usr/bin/env python3 +"""Check the final package and bind it to the independent cold replay.""" +import argparse +import gzip +import hashlib +import json +from pathlib import Path +import re +import subprocess +from urllib.parse import unquote, urlsplit + + +def require(value, message): + if not value: + raise ValueError(message) + + +def digest(data): + return hashlib.sha256(data).hexdigest() + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--cold-copy", type=Path, required=True) + parser.add_argument("--pre-snapshot", type=Path, required=True) + parser.add_argument("--output", type=Path, required=True) + args = parser.parse_args() + wrap = Path(__file__).resolve().parents[2] + package = wrap / "packages/centre-code-services" + manifest_path = package / "PACKAGE-MANIFEST.json" + expected = "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da" + require(digest(manifest_path.read_bytes()) == expected, "Final manifest changed") + manifest = json.loads(manifest_path.read_bytes()) + listed = {} + for entry in manifest["files"]: + path = package / entry["path"] + require(path.is_file() and not path.is_symlink(), "Missing or linked package file") + data = path.read_bytes() + require(len(data) == entry["bytes"] and digest(data) == entry["sha256"], entry["path"]) + require(entry["path"] not in listed, "Duplicate manifest path") + listed[entry["path"]] = entry["sha256"] + actual = {str(p.relative_to(package)) for p in package.rglob("*") if p.is_file()} + require(actual == set(listed) | {"PACKAGE-MANIFEST.json"}, "Package file set changed") + + sources = json.loads((package / "SOURCE-MANIFEST.json").read_bytes()) + campaign = Path(sources["original_campaign_root"]) + references = json.loads((package / "REFERENCE-MANIFEST.json").read_bytes()) + source_checks = [] + for kind, entries in (("runtime_or_proof", sources["immutable_inputs"]), + ("historical_reference", references["reference_documents"])): + for entry in entries: + data = (package / entry["path"]).read_bytes() + require(data == (campaign / entry["campaign_path"]).read_bytes(), entry["path"]) + require(digest(data) == entry["sha256"] and len(data) == entry["bytes"], entry["path"]) + if "decompressed_sha256" in entry: + require(digest(gzip.decompress(data)) == entry["decompressed_sha256"], entry["path"]) + source_checks.append({"path": entry["path"], "kind": kind, "sha256": digest(data)}) + join = json.loads((package / "evidence/FIXED-READER-JOIN-CLOSURE.json").read_bytes()) + for relative, entry in join["files"].items(): + data = (package / "frozen" / relative).read_bytes() + require(digest(data) == entry["sha256"] and len(data) == entry["bytes"], relative) + + before = json.loads(args.pre_snapshot.read_bytes()) + for relative, expected_hash in before.items(): + require(digest((args.cold_copy / relative).read_bytes()) == expected_hash, + "Cold source changed: " + relative) + require(all(relative in listed for relative in before), "Initial package file was removed") + changed = sorted(relative for relative, value in before.items() if listed[relative] != value) + require(changed == ["README.md"], "A replay input changed after the cold copy") + for entry in sources["immutable_inputs"]: + require(before[entry["path"]] == entry["sha256"], "A replay source changed") + for relative in ("CHECKS.json", "SOURCE-MANIFEST.json", "replay.py", "PROOFS.md"): + require(before[relative] == listed[relative], relative) + + links = [] + for relative in ("README.md", "PROOFS.md", "PROVENANCE.md", "NOTICE.md"): + source = package / relative + for target in re.findall(r"\[[^\]]*\]\(([^)]+)\)", source.read_text()): + parsed = urlsplit(target) + if parsed.scheme or not parsed.path: + continue + destination = (source.parent / unquote(parsed.path)).resolve() + require(destination.is_relative_to(package) and destination.exists(), target) + links.append({"document": relative, "target": target}) + + upstream = [] + repository = campaign.parents[1] + for entry in json.loads((package / "evidence/SOURCE-LICENSE-CHECK.json").read_bytes())["checks"]: + obj = entry["source_commit"] + ":" + entry["source_path"] + data = subprocess.run(["git", "show", obj], cwd=repository, check=True, + stdout=subprocess.PIPE, stderr=subprocess.PIPE).stdout + require(data == (package / entry["retained_path"]).read_bytes(), obj) + blob = hashlib.sha1(b"blob " + str(len(data)).encode() + b"\0" + data).hexdigest() + require(blob == entry["git_blob"] and digest(data) == entry["sha256"], obj) + upstream.append({"git_object": obj, "git_blob": blob, "sha256": digest(data)}) + receipt = { + "status": "PASS_FINAL_PACKAGE_AND_COLD_SOURCE_BINDING", + "package_manifest_sha256": expected, + "listed_file_count": len(listed), + "package_file_count_including_manifest": len(actual), + "package_bytes_including_manifest": sum(p.stat().st_size for p in package.rglob("*") if p.is_file()), + "runtime_and_proof_source_count": len(sources["immutable_inputs"]), + "historical_reference_count": len(references["reference_documents"]), + "join_closure_files": len(join["files"]), + "source_checks": source_checks, + "pre_replay_snapshot_sha256": digest(args.pre_snapshot.read_bytes()), + "cold_source_files_unchanged": len(before), + "changed_existing_files_after_cold_copy": changed, + "added_files_after_cold_copy": sorted(set(listed) - set(before)), + "runtime_closure_unchanged": True, + "local_links": links, + "upstream_git_object_checks": upstream, + "scope": "Local source integrity and relocation binding. GitHub rendering and publication are not checked here.", + } + args.output.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(receipt["status"], len(actual), len(source_checks), len(links)) + + +if __name__ == "__main__": + main() diff --git a/research/publication-reviews/centre-code-services/cold-replay/REPLAY.json b/research/publication-reviews/centre-code-services/cold-replay/REPLAY.json new file mode 100644 index 0000000000..5ab208d047 --- /dev/null +++ b/research/publication-reviews/centre-code-services/cold-replay/REPLAY.json @@ -0,0 +1,271 @@ +{ + "checks": [ + { + "check": "moving_entry", + "checker_sha256": "bf8c7a1925651656dc0c442c771a8d9175d852eebb6d38f9b144d08c53a68e4a", + "file_access_confined": true, + "mode": "normal", + "results_equal_frozen": { + "CHECKS.json": { + "checked_sha256": "3639b50ef425d899c623cd8fd16120c11596966400f054960fd5a87ac6660bc9", + "frozen_file_sha256": "e671366f836c332600b668ad54e3a91044ee55d477707ea83d7dcc7cf5674a32", + 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The emitted inverse is the same group-algebra element at every width.", + "character_count": 512, + "checker_sha256": "de5a6fdbdf9db9dfc7b1c7997a389ca274d789de4964c8d8fe8270515e629010", + "complete_swap_dyadic_primitives": 208028, + "complete_swap_odd_scans": { + "complex_divide15": 30, + "complex_multiply15": 30 + }, + "complete_swap_translation_maps": 12072, + "inverse_character_common_denominator": 60, + "inverse_character_row_norm": "53/5", + "inverse_kernel": { + "coefficients_per_row": [ + 150, + 160, + 160, + 160, + 160, + 160, + 154, + 160, + 160, + 160, + 160, + 160, + 150, + 160, + 150, + 160, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 16, + 4, + 4, + 4, + 16, + 16 + ], + "common_denominator": 120, + "denominator_witnesses": { + "2": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + }, + "3": { + "coefficient": "-1/30", + "input": 0, + "output": 0, + "translation": 16 + }, + "5": { + "coefficient": "-1/20", + "input": 0, + "output": 0, + "translation": 11 + } + }, + "exact_physical_infinity_norm": "88/5", + "nonzero_coefficients": 2712, + "norm_maximizing_rows": [ + 5 + ] + }, + "large_block_dimension": 16, + "odd_denominator_character_witnesses": { + "3": { + "chi": 0, + "coefficient": "-1/3", + "column": 0, + "row": 0 + }, + "5": { + "chi": 0, + "coefficient": "-1/5", + "column": 16, + "row": 16 + } + }, + "program_decompressed_sha256": "1e281c1a83cc22897afba6df32d707a6698184bac348fc4f2c9cd3a8a55b6c55", + "scalar_blocks": 14, + "scope": "All-width algebra and a true additive physical query lowering with explicit odd-scan obligations. No complete recursive finite invoice or caller cohort is assumed.", + "source_pins": { + "actual_data_views": { + "decompressed": false, + "path": "frozen/lanes/bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "sha256": "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473" + }, + "directions": { + "decompressed": true, + "path": "frozen/lanes/history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "sha256": "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5" + }, + "inverse_certificate": { + "decompressed": true, + "path": "frozen/root/RANK30-PHASE-SECTION-BLOCKS-20261020.json.gz", + "sha256": "91b546da328fbf4a58b9fbf92c5851ec7a66402d3c2bcf7a52ce3e1533052bc8" + }, + "response": { + "decompressed": false, + "path": "frozen/lanes/new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json", + "sha256": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "root_receipt": { + "decompressed": false, + "path": "frozen/root/RANK30-PHASE-SECTION-CHECKS-20261020.json", + "sha256": "04121bb27884df692fd13e042f9f7b8ab005982535a07f7c95e3b1de5dfcaee7" + } + }, + "status": "PASS_INDEPENDENT_RANK30_PHASE_SECTION", + "swap": { + "endpoint": [ + "(I-JD)a+Jz", + "Da" + ], + "physical_input_query": "T^-1 V Q x", + "single_application_restores_z": false, + "square_is_identity": true + } +} diff --git a/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json b/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json new file mode 100644 index 0000000000..d4ec4db45c --- /dev/null +++ b/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/canonical/PHASE-SECTION-PROGRAM.json @@ -0,0 +1 @@ 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a/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/stdout.log b/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/stdout.log new file mode 100644 index 0000000000..c34a578128 --- /dev/null +++ b/research/publication-reviews/centre-code-services/cold-replay/phase_inverse/optimized/stdout.log @@ -0,0 +1,2 @@ +PASS_INDEPENDENT_RANK30_PHASE_SECTION +{"D_kernel": {"coefficients_per_row": [898, 936, 936, 936, 936, 924, 902, 936, 930, 930, 930, 930, 886, 936, 890, 936, 80, 80, 80, 80, 80, 80, 80, 80, 80, 12, 12, 12, 80, 80], "common_denominator": 120, "denominator_witnesses": {"2": {"coefficient": "1/20", "input": 0, "output": 0, "translation": 11}, "3": {"coefficient": "1/30", "input": 0, "output": 0, "translation": 16}, "5": {"coefficient": "1/20", "input": 0, "output": 0, "translation": 11}}, "exact_physical_infinity_norm": "1666/15", "nonzero_coefficients": 15688, "norm_maximizing_rows": [5]}, "complete_swap_dyadic_primitives": 208028, "complete_swap_translation_maps": 12072, "inverse_kernel": {"coefficients_per_row": [150, 160, 160, 160, 160, 160, 154, 160, 160, 160, 160, 160, 150, 160, 150, 160, 16, 16, 16, 16, 16, 16, 16, 16, 16, 4, 4, 4, 16, 16], "common_denominator": 120, "denominator_witnesses": {"2": {"coefficient": "-1/20", "input": 0, "output": 0, "translation": 11}, "3": {"coefficient": "-1/30", "input": 0, "output": 0, "translation": 16}, "5": {"coefficient": "-1/20", "input": 0, "output": 0, "translation": 11}}, "exact_physical_infinity_norm": "88/5", "nonzero_coefficients": 2712, "norm_maximizing_rows": [5]}} diff --git a/research/publication-reviews/centre-code-services/cold-replay/unnormalised_code/normal/FILE-ACCESS.json b/research/publication-reviews/centre-code-services/cold-replay/unnormalised_code/normal/FILE-ACCESS.json new file mode 100644 index 0000000000..96fa42f409 --- /dev/null +++ b/research/publication-reviews/centre-code-services/cold-replay/unnormalised_code/normal/FILE-ACCESS.json @@ -0,0 +1,15 @@ +[ + "output/result/CHECKS.json", + "output/result/SOURCE-MANIFEST.json", + "package/frozen/lanes/coherent-port/section-entry-20261020/SECTION.json", + "package/frozen/lanes/native-escape-20261017/owner-review/centre-constants-review-20261020/FREEZE.json", + "package/frozen/lanes/native-escape-20261017/owner-review/unnormalised-code-review-20261020/check_review.py", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/UNNORMALISED-CODE.md", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/centre-constants-normal/CENTRE-CONSTANTS.json", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/check_unnormalised_code.py", + "package/frozen/lanes/native-escape-20261017/rational-code-admission-20261020/unnormalised-final-normal/CHECKS.json", + 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+1,64 @@ +{ + "all_112_data_columns_restored": true, + "checker_sha256": "a7e511883e8b243cbe90ea5b919b64775b9351f30c5d90db4a3f10382264131b", + "forward_invoice": { + "old_real_scalar_units": 2078, + "real_divide3_scans": 0, + "real_multiply3_scans": 16 + }, + "generic_inverse_non_dyadic_witness": [ + 0, + 0, + "1/12" + ], + "inverse_invoice": { + "old_real_scalar_units": 2078, + "real_divide3_scans": 16, + "real_multiply3_scans": 0 + }, + "payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "scope": "Exact existing literal word and inverse domain; no claim that an arbitrary middle operation preserves the code image.", + "status": "PASS_PIVOT_CODE_INVOICE_DOMAIN", + "valid_image_divisions": [ + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 46, + "opcode": 125 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 57, + "opcode": 138 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 7, + "opcode": 150 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 20, + "opcode": 163 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 111, + "opcode": 175 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 53, + "opcode": 188 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 27, + "opcode": 200 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 0, + "opcode": 213 + } + ] +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/CORE-BINDING.json b/research/centre-code-services/annexes/pivot-code-invoice/CORE-BINDING.json new file mode 100644 index 0000000000..04d3a1ba6f --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/CORE-BINDING.json @@ -0,0 +1,9 @@ +{ + "schema": "pivot-code-unchanged-core-v1", + "manifest": "../../PACKAGE-MANIFEST.json", + "manifest_sha256": "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da", + "files_including_manifest": 277, + "all_original_file_hashes_checked": true, + "annex_is_additional": true, + "core_replay_not_rerun_for_append_only_addition": true +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/DIRECT-SOURCES.json b/research/centre-code-services/annexes/pivot-code-invoice/DIRECT-SOURCES.json new file mode 100644 index 0000000000..e129b00389 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/DIRECT-SOURCES.json @@ -0,0 +1,12 @@ +{ + "schema": "pivot-code-invoice-entrypoints-v1", + "entrypoints": [ + "work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md", + "work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/FREEZE.json", + "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md", + "work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/FREEZE.json", + "work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md", + "work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md", + "work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md" + ] +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/GRID-SOURCE-PINS.json b/research/centre-code-services/annexes/pivot-code-invoice/GRID-SOURCE-PINS.json new file mode 100644 index 0000000000..cd3cd9b612 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/GRID-SOURCE-PINS.json @@ -0,0 +1,22 @@ +{ + "schema": "pivot-code-grid-pins-v1", + "base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "source_record": "../../notices/ODD-GRID-SOURCE-PINS.json", + "files": { + "notes/stopped-product-complex.tex": { + "git_blob": "4a9037137cd3158dbeca6d9e3b1881a599ebfcb5", + "sha256": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a" + }, + "upstream/build/sections/02-streams.tex": { + "git_blob": "088fceea1867abc76271d7efe7532b779fee9039", + "sha256": "606c80db61cad13aa0c3b6060dc4b88dbbe7ac60cdd831aa93f28d908fd09dab" + }, + "upstream/build/sections/05-layers.tex": { + "git_blob": "5ce8b3c83c455f221bb84858a97230b0285644aa", + "sha256": "20cfc8d12099d4e4ed9e3e7eeb6162edd9b6e0e076f24693364cd24377252594" + } + }, + "original_source_bytes_equal": true, + "fresh_git_object_fetch_performed": false, + "prior_verification": "The accepted centre-code-services package and its source audit verified these exact local Git objects." +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/NOTICE.md b/research/centre-code-services/annexes/pivot-code-invoice/NOTICE.md new file mode 100644 index 0000000000..8ee8163508 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/NOTICE.md @@ -0,0 +1,34 @@ +# Source credit and license + +The new-core-transfer lane supplied the actual rank-sixteen response, +its literal pivot code, and the original cost and prefix receipt. The +bridge-review lane independently checked the pivot algebra inside the +moving-code review. The root and coherent-port lanes supplied the +ordered entry and transport interfaces. The native-escape and +independent-review lanes supplied the fixed-odd and common-grid accounts. +The new wrapper, replay, and invoice/domain check only expose and verify +these existing local results. These are roles within one AI-assisted +campaign prepared for Ali Romman. Substantial OpenAI Codex assistance +was used. No independent human review is claimed. + +The [license](frozen/LICENSE), [source notice](frozen/NOTICE), and +[upstream license](frozen/upstream/LICENSE) remain byte-exact. New material +uses Apache-2.0. The common odd grid is retained prior work credited to +icekylinx in the source notice, with GPT-6 Astra and Codex assistance. +The retained [grid proof](frozen/notes/stopped-product-complex.tex) has +SHA256 `4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a` +and Git blob `4a9037137cd3158dbeca6d9e3b1881a599ebfcb5` at historical +commit `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. The exact fixed-tape +and layer source files from that contract are also retained. +[GRID-SOURCE-PINS.json](GRID-SOURCE-PINS.json) gives these source pins. + +The [parent notice](../../NOTICE.md) retains the full native-provider +and compiler lineage, including each external notice. This annex uses +an exact response payload as an inherited input. It does not re-emit +or re-admit those native providers. No authorship is inferred from a +PR submitter account. + +The packaging base is `b58ad9ef4d4e861b0eaa5dba41742bdc072dca51`. +It does not replace any historical source pin, establish compatibility +with the current selected construction, or improve its complete kappa. +All old source proofs, scripts, programs, and reviews remain unchanged. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/PROOF.md b/research/centre-code-services/annexes/pivot-code-invoice/PROOF.md new file mode 100644 index 0000000000..01ffaaa3ea --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/PROOF.md @@ -0,0 +1,151 @@ +# Exact pivot code and its implementation boundary + +The full historical [construction](frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md) and +[independent review](frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md) are retained. This wrapper states their +local claim and the exact division boundary. It does not add a new +construction or an unproved caller. + +## Code and inverse + +Let H be the actual signed pair code on 48 ports, extended by identity on +the other 64 ports. The pinned response satisfies + +```text +H E H inverse = direct sum of eight (I-dd transpose) blocks of size 6 + and eight (I-11 transpose) blocks of size 8. +``` + +The sixteen blocks partition the 112 mode labels. In a signed block, +first apply its signs, and call the resulting entries y_i. Choose the +first coordinate p. The code then performs + +```text +y_i -= y_p for each i other than p +y_p *= k +y_p += y_i for each i other than p +``` + +At the end, the pivot is `s=sum(old y_i)`. Each other coordinate is +`t_i=old y_i-old y_p`. Thus the exact inverse is + +```text +old y_p = (s-sum(t_i))/k +old y_i = t_i+old y_p. +``` + +Reversing the literal events implements this inverse on arbitrary +rational inputs. No data is cleared, no accumulator is introduced, and +all 528 fields outside the active bank remain unchanged. + +For `I-11 transpose`, the sum changes by the factor `1-k`; every +difference stays fixed. The signs give the same conclusion for +`I-dd transpose`. Let C include H, all signs, and these block words. +Then `C E C inverse=D`, where D is -5 on the eight six-mode pivots, +-7 on the eight eight-mode pivots, and identity on the other 96 fields. +The exact port lists and signs are in the pinned +[program](frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/PIVOT-CODES.json). This is a coordinate change +for E. It is not a native E inverse; inverting the diagonal factors +would introduce the separate primes five and seven. + +## Literal cost and prefix grid + +The inherited tariff assigns eight old real units to a complex unit +ADD and two to a sign or one-bit binary scale. An exact odd scan is a +separate operation. The actual H word and its inverse each cost 470. +For each six-mode block the ten unit ADDs cost 80 and the binary scale +costs two. Four mode signs add eight across those blocks, so their +subtotal is `8*82+8=664`. Each eight-mode block has fourteen unit ADDs +and three binary scales, hence `8*(14*8+3*2)=944`. Therefore + +```text +470 + 664 + 944 = 2078 old real scalar units. +``` + +Each six-mode pivot also uses one complex multiplication by three. +There are eight such pivots, hence sixteen real scans. Reversing the +word preserves the scalar tariff and changes these to sixteen real +division scans. Each direction uses zero native children and zero +owned fields inside the declared common chart. + +At each stored opcode boundary, expand every row in the original data +columns. Its row one-norm bounds the magnitude by that norm times the +largest input magnitude. The exact retained replay computes maximum +norms 12 forward and 8 inverse. All forward coefficients are integral. +Inverse prefix denominators have binary exponent at most three and +odd-three exponent at most one. These are exact finite-word bounds, +including H and its inverse. Pointwise application gives the same +bounds at every array entry and tensor width. They do not bound all +bit-level ADD temporaries or a complete recursive supplier. + +The six-mode blocks are disjoint in mode coordinates. Each inverse +block divides its own pivot once by three. Their local odd heights +therefore take a maximum, not a sum. The final pair inverse is dyadic. +This explains why the local odd height is one rather than eight. + +## Exact division domain + +Let R0 be the Gaussian dyadic ring. H and its inverse are units over +R0. For an actual forward code image, before a six-mode inverse divides +by three, the value is `s-sum(t_i)=6*old y_p`. Its coefficients on all +original inputs have a factor three. Division by three leaves +`2*old y_p`, and the following binary division recovers the pivot. +The eight-mode block needs only binary division. Thus reversing C on +its valid image uses exact odd division without an extra odd root +factor. [CHECKS.json](CHECKS.json) checks this divisibility at all eight +complex division events and restores all 112 original data columns. + +This does not hold for every generic code-coordinate input. Already a +six-mode block with `s=1` and every `t_i=0` requires `old y_p=1/6`. +The actual full inverse has coefficient `1/12` at row 0, column 0. +Thus its generic output need not lie in R0. An intervening operation +must preserve `C(R0^112)` to use the valid-image contract; the word +identity alone does not prove that condition for a new caller. + +For generic rational inputs, the inherited +[common-grid proof](frozen/notes/stopped-product-complex.tex), +[local exact-scan account](frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md), and +[grid specification](frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md) apply only with their +premises. All numeric root streams, including arbitrary borrowed +streams, must receive the common scale. Addresses and descriptors are +not scaled. Each complete child needs the declared dyadic semantic +endpoint, the full finite-parent odd height must be bounded, and the +outer endpoint must permit exact unscaling. Arbitrary integer +numerators on the finest grid are not valid root inputs. The local +height-one claim does not discharge these global premises. + +One fixed-three real scan has the inherited bound `4*(w_g+1)` arithmetic +head steps per record. Sixteen real scans on n records per field thus +cost at most `64*n*(w_g+1)`, with stream control and root conversions +separate. This is additional to the 2,078-unit scalar invoice. The +retained proofs state the exact signed carry test; no rounded division +is substituted here. + +## Entry maps and transported type + +Let L=Q squared be the diagonal translations by the actual port labels. +The entry word is `C_in=C L`: first translate each of the 112 fields, +then apply C. The inverse is `L C inverse`. Each direction therefore +has 112 explicit translation maps, with full descriptor and streaming +prices separate from the scalar tariff. The spatial interpreter keeps +an exact translation label on every input coefficient. It verifies +both inverse orders and rejects the opposite order `L C` as an entry +substitute. + +Put `q=Q inverse`. For the formal output type `C_out=q C q`, direct +ordered multiplication gives + +```text +(q C q) (Q E q) (Q C inverse Q) = q D Q = D. +``` + +Only equal adjacent phases cancel. No Q is moved through C or E. The +last equality holds because D is scalar and diagonal in physical port +labels. This is the already reviewed code transport identity, under +its common advance and commutation premises. It does not implement +`q C q` or `Q C inverse Q` at a retired native cut. The actual cyclic +word has different source flags at its vertices and no asserted +common full-vertex cut before FULL. Actual cross-bank calls retain +additional odd phases. A productive centre advance, source views, +helper restoration, legal interstage chronology, full map invoice, +raw output decode, and recursive cost remain separate obligations. +No complete kappa improvement follows. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/README.md b/research/centre-code-services/annexes/pivot-code-invoice/README.md new file mode 100644 index 0000000000..cf0b05dacd --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/README.md @@ -0,0 +1,80 @@ +# Literal pivot-code invoice + +This annex preserves the original common-entry pivot code on 112 existing +data fields. It puts sixteen centre sums in sixteen pivots and retains +independent complement data in the other 96 fields. Its exact conjugated +response is -5 on eight pivots, -7 on eight pivots, and identity on the +complement. It uses no new field and does not require a zero input. + +The [proof](PROOF.md), [source pins](SOURCES.json), [source credit](NOTICE.md), +and [validation limits](VALIDATION.md) give the complete local scope. +The original [construction](frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md) and +[separate moving-code review](frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md) remain byte-exact. +This is an addition to the accepted 277-file centre-code-services core. +Its original manifest and files are unchanged; this annex has its own +[manifest](ANNEX-MANIFEST.json) and [core binding](CORE-BINDING.json). + +| Word | Old real scalar units | Separate real scans | Explicit translations | +| --- | ---: | --- | ---: | +| C | 2,078 | 16 multiplications by 3 | 0 | +| C inverse | 2,078 | 16 divisions by 3 | 0 | +| Common entry C L, with L=Q squared | 2,078 | 16 multiplications by 3 | 112 | +| Inverse entry L C inverse | 2,078 | 16 divisions by 3 | 112 | + +The scalar count is `470+664+944`. It does not include the scans, +address-map costs, descriptor work, or a global precision guard. The +forward stored-prefix row norm is at most 12. The inverse bound is 8, +with at most three new binary fractional bits and one new factor three. +The eight disjoint six-mode blocks do not add eight odd-height levels. + +**Valid code images and generic inverse inputs are different contracts.** +On a valid image of C, each division by three is exact on the existing +dyadic grid. A generic inverse has a coefficient 1/12 and needs an admitted +odd grid. A middle operation must preserve the code image to use the first +contract. No arbitrary integer on a finest common grid is declared valid. + +The formal transported code `q C q`, where `q=Q inverse`, diagonalizes +the physical response by ordered adjacent cancellation. This identity +does not implement that code at a retired cut. Productive transport, +actual cross-bank phases, source views, helper progress, and raw terminal +decode remain separate. This annex gives no complete kappa improvement +and no automatic applicability to the current selected construction. + +## Replay + +Use Python 3.11 or later and its standard library, one worker, at least +3 GiB free disk, and a new output directory. No Git, network, original +workspace, or compiler package is needed. + +```sh +python3 -I -B research/centre-code-services/annexes/pivot-code-invoice/replay.py --out /tmp/pivot-code-invoice-check +``` + +Expected final output: + +```text +PASS_PIVOT_CODE_INVOICE_ANNEX +``` + +The runner executes the unchanged producer, the unchanged prior review, +and a small invoice/domain check, each in normal and optimized Python. +Each job uses a private copy. The prior review receipt has absolute input +paths, so only registered source paths are converted for comparison. +All other fields are compared. Compressed programs are compared after +decompression. The producer and invoice receipts match byte for byte. +[REPLAY.json](REPLAY.json) records six passing packaging runs. +No independent human review is claimed. + +## Open next questions + +- Can a productive caller preserve this code through its actual physical + operations? A first step is one exact full cross-bank endpoint with + declared input and output types. The odd phases, source access, and + helper progress remain blockers. +- Can the output code be removed at a useful complete cost? A first step + is a literal `Q C inverse Q` decoder at one specified output cut. + Its phase wrappers, views, and full map prices remain open. +- Can a complete recursive supplier use the local grid bound? A first + step is its full finite-parent prefix and type invoice. Root conversion, + all borrowed streams, decoded child entries, and the final dyadic + endpoint must be proved before the common-grid theorem applies. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/REPLAY.json b/research/centre-code-services/annexes/pivot-code-invoice/REPLAY.json new file mode 100644 index 0000000000..59b202794f --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/REPLAY.json @@ -0,0 +1,104 @@ +{ + "status": "PASS_PIVOT_CODE_INVOICE_ANNEX", + "source_files": 30, + "source_manifest_sha256": "520d260e5580084876fb0b7ed38080ab3496a574f5ac8fdaa92c0a7adc757b95", + "replay_sha256": "a7132f387a2661bd64394549bfe5f9c1c8106257ac2183db2fbc0c98ad72f4fb", + "runs": [ + { + "job": "pivot", + "mode": "normal", + "seconds": 0.296, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "complete_bytes", + "sha256": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546" + }, + { + "file": "PIVOT-CODES.json", + "method": "complete_bytes", + "sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670" + } + ] + }, + { + "job": "prior_review", + "mode": "normal", + "seconds": 0.484, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "all_json_fields_after_registered_source_paths", + "sha256": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199" + }, + { + "file": "MOVING-CODE-PROGRAM.json.gz", + "method": "complete_decompressed_bytes", + "sha256": "99202fd0d24a4b57d5db94a85a43b15c45c52104cfae29d468c2c1163ebfb344" + } + ] + }, + { + "job": "invoice_domain", + "mode": "normal", + "seconds": 0.087, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "complete_bytes", + "sha256": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d" + } + ] + }, + { + "job": "pivot", + "mode": "optimized", + "seconds": 0.263, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "complete_bytes", + "sha256": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546" + }, + { + "file": "PIVOT-CODES.json", + "method": "complete_bytes", + "sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670" + } + ] + }, + { + "job": "prior_review", + "mode": "optimized", + "seconds": 0.465, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "all_json_fields_after_registered_source_paths", + "sha256": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199" + }, + { + "file": "MOVING-CODE-PROGRAM.json.gz", + "method": "complete_decompressed_bytes", + "sha256": "99202fd0d24a4b57d5db94a85a43b15c45c52104cfae29d468c2c1163ebfb344" + } + ] + }, + { + "job": "invoice_domain", + "mode": "optimized", + "seconds": 0.096, + "comparisons": [ + { + "file": "CHECKS.json", + "method": "complete_bytes", + "sha256": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d" + } + ] + } + ], + "normal_optimized_equal": true, + "frozen_sources_unchanged": true, + "source_code_adaptations": 0, + "scope": "Existing common-entry pivot code and inverse invoice, local grid, valid-image divisions, and map order. No productive transport, raw decoder, complete native capture, or kappa improvement." +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/RESULT.json b/research/centre-code-services/annexes/pivot-code-invoice/RESULT.json new file mode 100644 index 0000000000..c4ccba3076 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/RESULT.json @@ -0,0 +1,27 @@ +{ + "schema": "pivot-code-invoice-result-v1", + "status": "PASS_PIVOT_CODE_INVOICE_PACKAGING", + "source_files": 30, + "runs": 6, + "normal_optimized_equal": true, + "source_code_adaptations": 0, + "data_fields": 112, + "pivot_fields": 16, + "complement_fields": 96, + "unchanged_other_fields": 528, + "scalar_units_per_direction": 2078, + "forward_real_multiply3_scans": 16, + "inverse_real_divide3_scans": 16, + "entry_translation_maps_per_direction": 112, + "forward_prefix_norm": 12, + "inverse_prefix_norm": 8, + "inverse_additional_binary_height": 3, + "inverse_additional_odd_three_height": 1, 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It also checks decompressed hashes when recorded. It runs +one process at a time, in normal and optimized Python. Each job has a +private package copy, so old scripts which write beside themselves +cannot change the frozen files. No source or import is patched. + +| Job | Fresh checks | Boundary | +| --- | --- | --- | +| Original pivot emitter | All 640 independent inputs; 528 unchanged roles; centre and complement rows; both scalar and spatial inverse orders; full diagonal response; 2078/16 invoice; norms and heights; wrong-side-square control | It imports the pinned producer's matrix and tariff helper; it is not the independent review | +| Prior moving review | Separate rational engine; actual 112-column pivot code and inverse; both inverse products; full diagonal response; its other retained moving-entry checks | This old review proves the pivot algebra; it does not separately certify the precise 2078 invoice and prefix grid | +| Invoice/domain check | No producer import; full literal tariff; eight exact valid-image divisions on 112 columns; inverse restoration; generic 1/12 witness | It verifies an existing word and its domain; it does not prove that a middle operation preserves the image | + +The original emitter's complete JSON outputs match byte for byte. +The prior review writes absolute source paths in its receipt. Before +comparison, the runner requires every such path and hash to match a +registered frozen input. It replaces only those path values with their +registered relative paths, then compares every JSON field. It compares +the complete generated program after decompression and checks that +payload's declared hash. No claim is made that absolute-path receipts +have equal raw bytes. The invoice/domain receipt matches byte for byte. +Normal and optimized outputs must agree under the same rules. + +[REPLAY.json](REPLAY.json) records six passing runs. The historical +moving checker also executes its rank-30 and entry-swap checks because +they are part of the unchanged checker; this annex does not repackage +those as new results. The fresh publication review is separate from +that historical review. + +The wrong-side-square control directly rejects incorrect entry order. +The generic inverse witness rejects the claim that the inverse is a +dyadic unit on arbitrary code coordinates. Valid-image divisions pass +on every original input column, not on a sample of values. + +This replay does not rerun native phase compilation, a common-root +conversion implementation, the scan bit loop, a complete productive +caller, raw terminal decode, helper hosting, the recursive grid invoice, +the selected frontier, or a complete kappa calculation. The scan and +common-grid proofs are retained premises, not fresh machine-level tests. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/check_invoice.py b/research/centre-code-services/annexes/pivot-code-invoice/check_invoice.py new file mode 100644 index 0000000000..893f930507 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/check_invoice.py @@ -0,0 +1,112 @@ +#!/usr/bin/env python3 +"""Check the existing pivot invoice and the exact inverse division domain.""" + +import argparse +from fractions import Fraction +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +PAYLOAD = ('frozen/work/centre-encoding-campaign-20261014/lanes/' + 'new-core-transfer-20261017/low-displacement-20261020/' + 'pivot-codes/final-normal/PIVOT-CODES.json') +PIN = '49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670' + + +def need(value, message): + if not value: + raise ValueError(message) + + +def identity(): + return [{j: Fraction(1)} for j in range(112)] + + +def invoice(word): + scalar = multiply = divide = 0 + for op, _, _, value in word: + c = Fraction(value) + n, d = abs(c.numerator), c.denominator + if op == 'fixed_multiply': + need(c == 3, 'The fixed multiplier is three') + multiply += 2 + elif op == 'fixed_divide': + need(c == 3, 'The fixed divisor is three') + divide += 2 + else: + need(d & (d - 1) == 0, 'The scalar denominator is binary') + if op == 'scale': + need(n and n & (n - 1) == 0, 'The scalar scale is a binary unit') + scalar += 2 * (abs(n.bit_length() - d.bit_length()) + (c < 0)) + else: + need(op == 'add', 'The scalar opcode is declared') + scalar += 2 * (1 + n.bit_length() + n.bit_count() + d.bit_length()) + return {'old_real_scalar_units': scalar, 'real_multiply3_scans': multiply, + 'real_divide3_scans': divide} + + +def replay(word, initial): + rows = [dict(row) for row in initial] + divisions = [] + for index, (op, target, source, value) in enumerate(word): + need(0 <= target < 112, 'Only the declared data bank changes') + c = Fraction(value) + if op == 'add': + need(0 <= source < 112 and source != target, 'Only distinct data sources') + row = dict(rows[target]) + for j, v in rows[source].items(): + row[j] = row.get(j, Fraction(0)) + c * v + rows[target] = {j: v for j, v in row.items() if v} + else: + need(op in ('scale', 'fixed_multiply', 'fixed_divide'), 'Declared scalar opcode') + if op == 'fixed_divide': + need(c == 3, 'The inverse divisor is three') + valid = all(v.denominator & (v.denominator - 1) == 0 + and v.numerator % 3 == 0 for v in rows[target].values()) + divisions.append({'opcode': index, 'field': target, + 'all_dyadic_coefficients_divisible_by_three': valid}) + c = 1 / c + rows[target] = {j: c * v for j, v in rows[target].items() if c * v} + return rows, divisions + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + raw = (HERE / PAYLOAD).read_bytes() + need(sha256(raw).hexdigest() == PIN, 'Exact retained pivot program') + data = json.loads(raw) + forward = data['scalar_words']['code'] + backward = data['scalar_words']['inverse_code'] + forward_invoice, backward_invoice = invoice(forward), invoice(backward) + need(forward_invoice == {'old_real_scalar_units': 2078, 'real_multiply3_scans': 16, + 'real_divide3_scans': 0}, 'The forward invoice is exact') + need(backward_invoice == {'old_real_scalar_units': 2078, 'real_multiply3_scans': 0, + 'real_divide3_scans': 16}, 'The inverse invoice is exact') + encoded, _ = replay(forward, identity()) + decoded, valid_divisions = replay(backward, encoded) + need(decoded == identity(), 'The inverse restores every encoded data column') + need(len(valid_divisions) == 8 and all( + row['all_dyadic_coefficients_divisible_by_three'] for row in valid_divisions), + 'Each inverse division is exact on the code image') + generic, generic_divisions = replay(backward, identity()) + need(any(not row['all_dyadic_coefficients_divisible_by_three'] + for row in generic_divisions), 'A generic inverse needs its grid premise') + witness = next((i, j, str(v)) for i, row in enumerate(generic) + for j, v in row.items() if v.denominator % 3 == 0) + result = {'status': 'PASS_PIVOT_CODE_INVOICE_DOMAIN', 'payload_sha256': PIN, + 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'forward_invoice': forward_invoice, 'inverse_invoice': backward_invoice, + 'valid_image_divisions': valid_divisions, 'all_112_data_columns_restored': True, + 'generic_inverse_non_dyadic_witness': witness, + 'scope': 'Exact existing literal word and inverse domain; no claim that an arbitrary middle operation preserves the code image.'} + (args.out / 'CHECKS.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + + +if __name__ == '__main__': + main() diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/LICENSE b/research/centre-code-services/annexes/pivot-code-invoice/frozen/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/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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Its Apache-2.0 +license is retained at upstream/LICENSE. The exact source URLs and hashes +are recorded in upstream/manifest.json. Proposed modifications are supplied +as separate files under patches/; upstream source files remain unchanged. + +The original local research note, scripts, certificates, patches, and +documentation were prepared by Douglas Colkitt with assistance from OpenAI +Codex. The community release incorporates work by the contributors identified +in the notices below; it is not solely Douglas Colkitt's work. +This project is not an official OpenAI release or an OpenAI endorsement. + +Related contributions (not imported in this checkpoint): +Zhihao Chen (jacklightChen), PR #7, supplied an earlier ternary five-subset +motif, finite-alphabet transfer and a different compressed producer: +https://github.com/CrocSwap/integer-mult-bounds/pull/7 +The present checkpoint claims no priority for that motif. Related compressed +complex-network work was submitted by eumemic in PR #3: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +The pending contributions and their stronger bounds require their own review; +this notice does not represent adoption or verification of their claims. + +Additional community work, including parallel and superseded submissions, is +acknowledged in CONTRIBUTORS.md, with pinned submission metadata in +docs/research/contribution-snapshot.json. These acknowledgements do not imply +joint authorship of the checkpoint, incorporation of pending code, or verification +of submitted mathematical claims. Original source-specific notices remain in force. + +Community release (accepted by conditional maintainer audit): +The following original contributor notices apply to the imported PR #39 chain. +The preceding non-import statements describe the preserved 2^-30 checkpoint. + +Ternary five-subset construction and common-four-point resynthesis +Copyright 2026 Zhihao Chen (jacklightChen) + +This is Zhihao Chen's first submission of this specific construction to this +repository. Research, proof development, code and verification were prepared +with substantial assistance from GPT-6 Astra (OpenAI Codex), as identified by +the contributor. This is not independent review or an OpenAI endorsement. +Future research building on this contribution should explicitly acknowledge +Zhihao Chen (jacklightChen), cite the accompanying note and pull request, and +retain the preceding contributors' attribution. This notice records research +provenance; the repository's Apache-2.0 license remains unchanged. + +Dependencies retained from eumemic's Claude-assisted PRs #3 and #5: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +https://github.com/CrocSwap/integer-mult-bounds/pull/5 +PR #5 commit: d3d370c34937503bd3fa63c83d505a05e8e50893 +These include complex_circuit.py, complex_network.py, fast_gaussian.py, +their generators, construction notes and certificates. The Gaussian input +scaling proof is corrected in this derivative; see the modification notice below. +Aligned pairing also appears in Bortlesboat's PR #2. Retained totals and bank +sharing appear in dleen's PR #4 and cheaper retained centers in eumemic's PR #6. +Their results and ideas are credited separately from this new construction. + +Bulk recursion and controlled tensor basis, 8 October 2026 +Copyright 2026 icekylinx + +The new projector batching, controlled simultaneous basis, mixed-width tape +recursions, whole-residual complex recursion, and dependency-path precision +guard in the batched-23 proof package are contributed by icekylinx, developed +with substantial OpenAI GPT-6 Astra assistance. Review corrections and +repository integration were prepared with OpenAI Codex assistance. They build on the retained +PR #7 finite producers and the preceding contributions credited above. +The new package retains the repository's Apache-2.0 license and the original +authors' attribution. It is not an official OpenAI release or endorsement. + +Modification notice, 8 October 2026 (icekylinx): the retained fast Gaussian +proof now bounds shifted approximation error by F=2^ceil(1.14 alpha^2). +The P=34p precision budget and asymptotic exponent are unchanged. New batching +checks are integrated into make verify. Existing attribution and licenses +are retained. + +Partial-swap extension, 8 October 2026 +Copyright 2026 icekylinx + +The partial-swap framing, binary retained-total triple construction, +dependency-preserving positive labels and carrier reuse, unequal (25,23,57) +common basis, improved complex batching, and exact assembly are contributed +by icekylinx with substantial OpenAI GPT-6 Astra and Codex assistance. +This extension directly inherits PR #10, commit +62691e395a0458ce089a1c7b5d89e74291e95e29. The portable producer adapters +modify the retained paired-exclusion and shared-point implementations credited +above. The original licenses, attribution, and Gaussian correction are retained. + +Endpoint-gauge extension, 8 October 2026 +Copyright 2026 icekylinx + +The complementary auxiliary endpoint gauges, (32,30,40) controlled basis, +general nondegenerate binary phase residuals, retained-center complex producer, +updated path guard and exact assembly are contributed by icekylinx with +substantial OpenAI GPT-6 Astra and Codex assistance. This extension inherits +f2ab41aebad47861caf6316282c1793e5513845e and its PR #10 ancestry. New portable +adapters retain the paired-exclusion and shared-point contributions credited +above. Original licenses, notices and the Gaussian correction are retained. + +Structured-basis and semantic-bulk extension, 8 October 2026 +Copyright 2026 icekylinx + +The selected (32,30,36) bit construction, A1/A5 block refinements, fixed +middle-axis I+J profiles with bounded-minor CRT certificates, mixed dyadic +complex centers, complete data-front batching and circuit-specific assembly +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. The immediate parent is ed90fd940279c336ebc45968631bdebfb087b505. + +The semantic/bulk compatibility argument, literal scalar charge, product row +stock and parameterization adapt Zhihao Chen (jacklightChen)'s PR #23, +commit 661ebabc1076c9f525d7ce4967c876b203fa9827. Translated complex endpoints +are adopted from the same contributor's PR #21, +commit 5ba6cf0bfb68f2be8d15610e7972207c50254d6a, following eumemic's source-frame +work and the earlier nested-basis contributions. + +Completed-child semantic precision, arbitrary-coordinate routing, phase-cell +Gaussian inversion and bulk tape transfer are credited to the RaD project +(hipotures), commit 45d9b60355872041f9275f77c057514def0d45bc, exposed through +PR #20 at 4f8d6c8272b5ff307a0da51df545ec3cd96a8b6e. Their selected proof +sources retain their separate CC0 license and original NOTICE under +references/semantic-bulk/rad20. The PR #23 source retains its recorded OpenAI +Codex assistance; RaD retains its recorded Codex and GPT-6.1-Sol Ultra +assistance. These are source attributions, not claims about this session's +runtime model. Related contributions by Rohan Arun and Aurel Prosz remain +acknowledged in the imported notices. No exclusive priority or additional +license condition is asserted. + +Copied retained-center extension, 8 October 2026 +Copyright 2026 icekylinx + +The copied retained-center schedule in both orientations, its complex-phase +transfer, the Wm-N+L rank budget, and the selected (25,23)/(28,28) composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. This extension inherits PR #32 at +0ef3aeb61f55cc0b321ce6a0ef00acee25cefe52 and the preceding PR #10/#18/#24 work. + +The two-stage topology and paid copied-stream endpoint correction are due +to Aurel Prosz (Paureel), c82d09eb4781b68435e3fa3eb6beea72fa900fab, +through Zhihao Chen (jacklightChen)'s PR #29 unequal-axis composition, +9d963275075fa98f1da821e27757b238dafd6b3c. That source also credits Swapnil +Jain's two-stage development at ae405eb474d1486b2d8aef90139869f927f4836a. + +The contiguous corner method, incidence factorization and exact partition +certificates are due to Rohan Arun (PR #31), method commit +02f68f95369c39955c5ffcfddbd75cd83e26b305. The selected (25,23) certificate +specializes Dominik Scholz's parameterization (PR #33), +a499a345c040aa15b68e984a0904eadc485c7a7e. Their source notices and proof +snapshots are preserved in references/copied-centers. Historical OpenAI +Codex, GPT-6 Astra and Anthropic Claude Opus 5.5 assistance is credited to +the respective imported sources. Existing PR #21/#23 and RaD attribution, +licenses and the Gaussian correction remain in force. + +Copied centers with reversed (23,25) data corners, 2026-10-08 +Rohan Arun with substantial OpenAI Codex assistance supplies the composition, +exact dimension23 controls and cost/assembly integration. James Chang's PR34 +supplies the reversed boundary family; icekylinx's PR36 supplies copied retained +centers and the selected complex graph. The balanced assembly remains attributed +to RaD/hipotures and its PR34 specialization. Retain Dominik Scholz PR33, Rohan +Arun PR31, Zhihao Chen PR29/21/23, Paureel/Aurel Prosz, Swapnil Jain, icekylinx, +eumemic, Douglas Colkitt, OpenAI and all earlier notices and hypotheses. +This is not a claim of formal verification, new foundational rank identities, +global optimality or measured runtime speedup. + +Fixed middle basis with copied reversed corners (2026-10-08): +Rohan Arun, with substantial OpenAI Codex assistance. Composition and +simultaneous-basis proof retain icekylinx PR32/36, James Chang PR34, +Dominik Scholz PR35/38, Zhihao Chen, Paureel, Swapnil Jain, RaD/hipotures, +eumemic and all preceding attribution and licenses. See research/copied-fixed-reversed. + +Changed-graph composition with copied centers and fixed bases, 8 October 2026 +Prepared with OpenAI Codex assistance. +The new composition uses icekylinx PR36 copied centers and PR32 fixed-I+J +projectors/profiler, Dominik Scholz PR35 two fixed factors and CRT argument, +Zhihao Chen (jacklightChen) PR29/23 interfaces, Aurel Prosz (Paureel) and +Swapnil Jain's two-stage development, Rohan Arun PR25/31 corner methods, +Dominik Scholz PR33/38 dimension/composition work; James Chang (jamesyc) +PR34 reversed geometry and balanced transfer; Rohan Arun PR37/39/40 +reversed integration, modular data tests and both-fixed baseline; +RaD (hipotures) PR41 changed scalar DAGs, alternating point order and +independent role compiler; RaD balanced routing/bulk interfaces, and all +retained predecessors. +Complete attribution and the conditional proof boundary are recorded in +research/copied-fixed/PROOF.md; imported originals and source pins are retained. +Original Apache-2.0 and CC0 notices remain applicable. + +Community follow-up integration (PRs #49, #45 and #26), 8 October 2026: +Rohan Arun contributes weighted carrier matching and climbed summand/leave-one-out +orders (PRs #44/#47/#49), with Anthropic Claude assistance. The final construction +composes Chafik Boukhalfa's changed-graph checks, exact rational data recovery and +reordered exclusion sums (PRs #43/#46/#48, OpenAI Codex assistance) with RaD / +hipotures's alternating pair order and independent physical role compiler (#41). +All predecessor attribution and conditional proof interfaces remain in force. + +Alejandro Zarzuelo Urdiales contributes Gaussian parity and canonical arithmetic +proofs, finite tensor execution, profile precision accounting and mixed-center +reference checks (#45), with substantial OpenAI Codex assistance. See +research/gaussian-parity-synthesis/PROVENANCE.md for his full attribution. +Ryan S / princezuda contributes historical Lean certificate arithmetic, algebraic +frame/movement/guard lemmas and independent paired-circuit checks (#26). Original +source notices and historical snapshots are preserved. Neither formal package +claims a full formal proof of the multiplication algorithm or a new kappa. + +Joint frame compilation of skip-prefix strips + +The local compiler and exact finite witnesses were prepared by eumemic with +substantial OpenAI Codex assistance. Avi Eisenberg / ikeboy with Anthropic +Claude assistance supplied the unmodified PR #53 skip-prefix producer. +The pinned PR #48 pipeline is Chafik Boukhalfa's contribution, incorporating +Rohan Arun, RaD / hipotures, icekylinx, Dominik Scholz, James Chang, +Zhihao Chen, Aurel Prosz / Paureel, Swapnil Jain, eumemic, Douglas Colkitt, +OpenAI, David Harvey, Joris van der Hoeven and the earlier contributors +credited in the retained sources. See references/frame-compiler/pr48/NOTICE +and references/frame-compiler/pr53/NOTICE for their original attribution. +No authorship or review by those predecessors is claimed for this compiler. + +Joint dual-skip/frame-compiler composition (2026-10-08) +--------------------------------------------------- +Rohan Gupta / gupt1156 with Anthropic Claude assistance: PR55 dual-skip +scalar graph; original LICENSE and NOTICE are retained under +references/frame-compiler/pr55. eumemic with substantial OpenAI Codex +assistance: PR57 joint reversible frame compiler, serialized physical-word +replay and profile reconstruction. Chafik Boukhalfa with OpenAI Codex +assistance: this composition, independent integration and exact certificate. +Avi Eisenberg / ikeboy, Rohan Arun, RaD / hipotures, icekylinx, and all +predecessor authors retain the notices above and in pinned source files. +No original copyright or Apache-2.0 notice is removed. + +Ranked reclamation after the PR58 joint-dual composition (2026-10-08) +---------------------------------------------------------------- +Chafik Boukhalfa with OpenAI Codex assistance: prioritize retired physical +slots by descending current frame rank, retaining slot ID as the tie-breaker; +complete replay, exact profiles, comparison and adversarial controls. +The dedicated joint_dual_reclaim_compiler.py is derived from eumemic's PR57 +compiler. Its original shared compiler remains byte-identical. The PR55 +producer and all preceding attribution remain unchanged. The complete PR58 +comparison certificate and its original source/proof provenance are retained +under references/frame-compiler/pr58. + +Skip-prefix strip producer, 8 October 2026 +By Avi Eisenberg (ikeboy), with Anthropic Claude (Claude Opus 5.5) +assistance. The skip-prefix leave-one-out strip layout in +research/skip-strips/skip_graph.py is new. Everything else reuses Chafik +Boukhalfa's PR #43/#46/#48 research/copied-fixed pipeline, its verification +code, exact data recovery and support-order sorting, together with: +- Rohan Arun's PR #44 weighted carrier matching optimizer; +- RaD (hipotures) PR #41 alternating point order; +- every predecessor credited above. +Complete attribution and the conditional proof boundary are recorded in +research/skip-strips/PROOF.md. Original Apache-2.0 and CC0 notices remain +applicable. + +Local split-pair skip-prefix research continuation (2026-10-08) +Prepared with substantial OpenAI Codex assistance at the user's request. +New contribution: singleton/pair recursive partition refinement, finite summand +order and moment search, and verified composition with inherited paid clones. +Avi Eisenberg/ikeboy with Anthropic Claude assistance: PR53 skip-prefix strips. +Chafik Boukhalfa with OpenAI Codex assistance: PR54 original-envelope clone +specialization and PR43/46/48 checking interfaces. RaD/hipotures: PR51 +whole-chain/source-partition cloning and earlier producer/interfaces. +Rohan Arun: PR44 weighted matching and earlier fixed/reversed work, with all +stated historical AI assistance. All predecessor notices remain applicable. + +Original-envelope whole-chain clones on skip-prefix strips (research/skip-clones): +Chafik Boukhalfa, prepared with OpenAI Codex assistance. The complete-chain +source-partition clone operation is adapted from RaD / hipotures, PR #51, +with original envelopes retained here. The scalar base is Avi Eisenberg's +PR #53 skip-prefix layout, prepared with Anthropic Claude assistance. +All credited PR #43/#46/#48, PR #44 and earlier code/proof notices remain +in force. This extension is provided under the repository's Apache-2.0 terms. + +Community review checkpoint #50–#61, 8 October 2026 +Maintainer integration and independent arithmetic: Douglas Colkitt, with OpenAI Codex. +Avi Eisenberg / ikeboy: skip-prefix strip framework (#53), with Anthropic Claude. +Rohan Gupta / gupt1156: parallel order search (#50, stated Antigravity assistance) +and dual-suffix strips (#55, Anthropic Claude assistance). +Eumemic: equal-frame joint compilation and paid signal reclamation (#57), with Codex. +Chafik Boukhalfa: original-envelope paid clones (#54), composition (#58) and ranked +reclamation (#60), with Codex. Rohan Arun: order search (#52) and positive-frame +composition (#56), with Anthropic Claude and stated Codex validation assistance. +RaD / hipotures: enlarged frames, source partitions and paid whole-chain clones +(#51), with Codex. Rohan Garg / rohangar1: singleton/pair recursion and paid-clone +composition (#59), with Codex. Alejandro Zarzuelo Urdiales: exact parameter +refinement, scoped Lean arithmetic, matrix/parity and search tools (#61), with +his disclosed multi-tool and Codex assistance. +Parallel #50/#52 records are reviewed and credited without replacing the earlier +climbed-48 implementation; their exact commit history is retained. The separate +#51 witness is retained as research; its source-graph/negative-basis data proof +has not received the same full replay as #56's consumed compiler machinery. +See docs/research/community-round2-review.md for precise validation boundaries. +All earlier licenses, contributions and notices remain applicable. + +Interval strips and core-aware pair assembly + +The interval leave-one-out strips and the core-aware group-pair assembly in +research/pair-assembly were prepared by Avi Eisenberg / ikeboy with Anthropic +Claude assistance. They build on PR #53's skip-prefix pipeline and its +inherited PR #48 sources. The stacked witness in research/pair-assembly/frame +uses eumemic's PR #57 joint frame compiler unchanged; its driver and verifier +are adaptations of PR #57's skip_frame_compiler.py, skip_frame_compose.py and +verify_skip_frame.py. Original notices are retained. + +Stopped product-ring extension, 9 October 2026 +Copyright 2026 icekylinx + +The opposite-bank generic projector factorization, componentwise atom-ring +adapters, stopped recurrence and outer ordinary-interchange conversion, +aligned pair-star producer with rational centers, exact denominator-21 +grid and selected (23,23)/(24,24) composition are contributed by icekylinx +with substantial OpenAI GPT-6 Astra and Codex assistance. This extension +builds on merged PR #36, 11817ccacb564bb7f98789c20dc11d3fece207e3, and is +integrated on upstream main 56b66d58297deca1d7dd130247d720e960f77a37. + +The retained ordinary leaf uses the preceding projector, corner and +copied-center proofs. The selected two-stage topology retains Aurel Prosz +(Paureel), Swapnil Jain and Zhihao Chen's credits; the semantic assembly +retains PR #21/#23 and RaD's attribution. Paired producers, carrier matching, +original source notices and each imported license remain unchanged. + +Partial-gauge extension, 9 October 2026 +Copyright 2026 icekylinx + +The pair-first cube assembly, compatible backward frame enlargement, +partial source-gauge schedule and stopped whole-projector composition are +contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance, extending PR #104 at 948ce1510df750f4c18b96bdaef436a86f8bf834. + +The physical deferred bit word, reflected event accounting, fan-order +clarification and signed two-stage endpoint are adopted from Zhihao Chen +(jacklightChen), PR #97, e15350b66e4bf796153a68c240a6cc1b788abe3e, with +Codex assistance. Its deferred readouts, V leaves, lifted frames and frozen +witness originate in Swapnil Jain's 741e7aa078392553815df7926ee17ac5e25a8c38, +with the original Claude disclosure retained. Cyclic interval and core-aware +pair primitives build on Avi Eisenberg (ikeboy), PR #62, +ad0f25ff7b23cff7f08ad237c2254e6ecf74257e, with Anthropic Claude assistance. +Prior two-stage, copied-center, ordinary-leaf, semantic/bulk, routing and +precision credits remain in force. Imported source notices and licenses +are preserved under references/partial-gauge/; see SOURCES.json. + +Three-stage cover extension, 9 October 2026 +Copyright 2026 icekylinx + +The arbitrary-subspace Clifford frame theorem, three-stage Cayley geometry, +weighted q-adic GL cover, unit-lower weighted compiler, charged local-ring +fallback, uniform batching, internal row borrowing and exact composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. This +repository integration uses Codex assistance and extends +PR #115, cf60442983c153a3a0f5272ea4713f99eba13c86. + +The selected local complex DAG and support/label replay are adopted from +Copyright 2026 eumemic, PR #117, cbb05ce504d571546d9b7794c186a613c659c3bf, +with its original Apache-2.0 terms and Claude assistance disclosure. +The unchanged bit physical word retains Zhihao Chen (jacklightChen), +PR #97, and Swapnil Jain's underlying witness and assistance notices. +The prior opposite-bank, stopped ordinary-leaf, copied-center, topology, +semantic/bulk, precision and analytic credits remain applicable. +Original source notices and license bytes are preserved in +references/three-stage-cover/pr117/ and references/partial-gauge/. + +Paired-cube and shared-core extension, 9 October 2026 +Copyright 2026 icekylinx + +The paired-coordinate triple-cube identity, signed overlap channels, +original-source involution, coordinate-star centers, concrete frame/carrier +compiler, chronological source gauges, PR97 gauge-subset selection, +orthogonal cross-stage routing and exact supplier/assembly integration +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. +Repository integration uses Codex assistance and extends PR #130 at +6a9970a530119174507904e23592fd59ede19a5d. + +The substantial completed-core workspace-sharing principle is credited to +an664, PR #128, 530588a019b4a74f09180680c9e3961bf649ec89, with its reported +OpenAI Codex assistance. No source code, partition or serialized witness +from that PR is imported. The new routing and paired-motif integration +are described separately and claim no exclusive priority for broad sharing, +paired-coordinate, Fourier or carrier-matching ideas. + +Selected coarse queries restrict the retained eumemic PR #117 positive DAG; +its original Apache-2.0 and Claude assistance notices remain unchanged. +The bit word and original frames retain Zhihao Chen's PR #97 and Swapnil +Jain's frozen witness, notices and historical assistance disclosures. +Earlier generalized Clifford, three-stage, uniform weighted recursion, +ordinary-leaf, semantic/bulk, precision and analytic credits remain in force. +Source-specific license bytes are preserved under references/. + +October 9 recycled-bit integration: +DaysSky (#150), William Porter/hpst3r (#147), Thomas Marchand/Th0rgal (#146), +Rohan Gupta/gupt1156 (#148), James Chang/jamesyc (#124), SovereignSteak (#122). +The original notices and assistance disclosures are retained under research/, +including research/recycled-bit-integration/NOTICE. Andrew Barnes/Bortlesboat +(#101) repairs shared verifiers using rfu08's #64 counterexample. rfu08's +scoped finite and formal-transfer packages are included separately; they do +not establish the full multiplication theorem. Earlier and parallel credits +remain applicable. Douglas Colkitt integrated these with OpenAI Codex assistance. + +SovereignSteak PR151 independently supplies the matching gauge/recycling +composition and the selected 473/10^6 atom refinement; its original package +and assistance disclosure are retained under research/gauge-recycling/. + +October 9 coordinated-frame and completed-entrance-bank integration: +Dugongue PR186, 166a34d75e853e933855f0f7e940fe77c4bb6b8d, builds on +Chafik Boukhalfa/chafreaky's PR181, 7fb2194801e3a10f54772c7f0d5505035a4fc0ad, +and eumemic's PR168 v4, 4a3c769e5c5430e7114c4d3e099ff34664677f17. +The frozen package and prerequisite archive preserve all author, source-license +and assistance notices, including PR175's compiler optimization. DaysSky's +carrier closure, James Chang's terminal substitution and balanced assembly, +geckods' stopping refinements and all preceding framework credits remain. +Rohan Arun's PR185 bootstrap and chafreaky's PR182 bit refinement are reviewed +parallel contributions; their gains are not added to the selected witness. +Douglas Colkitt integrated the package and supplied the bank scheduling +supplement with OpenAI Codex assistance, under Apache-2.0. The all-size +interfaces remain conditional; finite verification is not full formalization. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/notes/stopped-product-complex.tex b/research/centre-code-services/annexes/pivot-code-invoice/frozen/notes/stopped-product-complex.tex new file mode 100644 index 0000000000..4a9037137c --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/notes/stopped-product-complex.tex @@ -0,0 +1,137 @@ +\subsection{All-disjoint retained centers} +Use two factors $h=24$. For triple inputs write $G=\sum_TX_T$, +$T_i=\sum_{T\ni i}X_T$, and retain all $A_i=G-T_i$. +Each input triple avoids exactly 21 points, so +\[ + \sum_{i=1}^{24}A_i=21G,\qquad G=\frac1{21}\sum_i A_i. +\] +For a target triple $S$ the central correction is +\[ + G-\frac12\sum_{i\in S}A_i + =\frac{\sum_{i\in S}T_i-G}{2}. +\] +An input triple meeting $S$ in $j$ points has central coefficient +$(j-1)/2$. Adding half the disjoint sum and subtracting half the +intersection-two sum leaves coefficient one exactly when $j=3$. +The scalar source-to-scatter transfer is therefore the identity. +The transparent old-value subtraction and new-value addition use this +identity only on fresh contributions and restore arbitrary old values. + +The base-two paired exclusion and aligned pair-star producer retains +nested binary labels: common-pair supports have their orthonormal triple +span, other ordinary sums have their coordinate cover. Each retained +$A_i$ has the nondegenerate coordinate hyperplane excluding $i$, +of dimension 23. Hence all copied-center arguments and general +nondegenerate binary residuals of the preceding proof apply. The +selected local counts are +\[ + v=2024,\quad c_h=45764,\quad q_h=8120,\quad + |\mathcal M|=8966,\quad R=44918,\quad\ell=552. +\] +The old internal histogram, starting at rank zero, is +\begin{small}\begin{align*} +[&8930,49042,30844,15972,11883,8272,6399,4356,6682,2263,\\ + &5109,1808,5317,1733,5391,1757,4908,3290,6233,4363,\\ + &4056,264,564,24,24]. +\end{align*}\end{small} +It has rank mass $24R+2\ell$. Replace 24 rank-24 original transitions +by 24 rank-one transitions; all rank-23 copied transforms remain. +The new mass is $24R+\ell$. + +\subsection{Physical endpoints and strict complex moment} +The copied-center two-stage complex contract in +\path{notes/copied-centers-complex.tex} is unchanged by the scalar +center decoding. For the tensor triple line $U$, let +$T=C_U$, $F=C_I$, $E=C_{U^\perp}=FT^{-1}$. +The two data outputs are $A=-Fy$ and $B=FT^{-2}x+Ey$. +Add $T^{-1}$ applied to a copy of $A$ into $B$, paying one rank-one +child per data pair. The inherited input/output $Z$ phases and +$i^{9f}$ scalar normalize $FT^{-2}$ to $F$; sign and bank corrections +complete the exact tensor $C$. Auxiliary source/sink operators remain +$C_{D_0}$ and $FC_{D_0}$ in the second stage. Every original role +therefore returns the exact selected-axis tensor operation on arbitrary +inputs. This algebraic statement holds over $\mathbb Q(i)$ as well as +over Gaussian dyadics. + +With $m_c=576$, $N_c=v^2=4096576$, $B_c=vR=90914032$, put +\[ + W_c=2N_c+2B_c=190021216,\quad L_c=2v\ell=2234496, +\] +\[ + s_c=W_cm_c-N_c+L_c=109450358336,\qquad N_c-L_c=1862080. +\] +The complete list is $2B_c$ width-552 auxiliary exteriors, +$2N_c$ width-529 data macros, $2vH'_r$ width-$r$ internal children, +$4N_c$ width-23 data fronts, and $N_c$ width-one endpoint copies. +These disjoint classes include both kinds of paid copies and sum to +$s_c$. All binary residuals, including alternating forms, use the retained +one-child Gauss normal form with paid bit adapters and unit phases. +At $a_c=1949/25000000$ the exact rational enclosure gives +\[ + \sum_r\frac{n_r}{W_c}(r/m_c)^{1-a_c} + <1-1.3338373969\times10^{-10}. +\] + +\subsection{One exact odd-denominator grid} +The only new odd divisor is 21. Let $d$ bound the root axis count, +$D$ bound its maximum complex recursion depth, and $G_0$ bound the +number of grouped scalar operations per node. Choose +\[ + K=G_0(D+1),\qquad \text{common grid }2^{-P}21^{-K}. +\] +Root inputs and arbitrary dirty auxiliaries start Gaussian dyadic. +Multiply their integer numerators by $21^K$ once at the outer boundary. +Every local coefficient contains at most one factor 21 in its denominator, +so a local finite program adds at most $G_0$ to the odd-denominator +exponent. A completed $u$-axis child has Gaussian-dyadic coefficients +and therefore preserves its input's existing odd-denominator exponent; +it adds no new odd factor. Only the active chain of unfinished calls +can accumulate new factors. Its length is at most $D+1$, proving that +all intermediates lie on the common grid and every local division by +21 is an exact integer division of its encoded numerator. + +This divisibility claim uses the root dyadic-input invariant, not an +assumption about arbitrary numerators on the finest grid. Internal values +may have odd denominators. They are neither rounded nor re-encoded when +a child returns. At the completed outer return the operator is the exact +Gaussian-dyadic tensor on root dyadic inputs, so the final numerators +are divisible by $21^K$; exact unscaling restores dyadic encoding. + +Since the largest child is $552<576$, $D=O(\log d)$ and +$K=O(\log d)$ with fixed constants. Constant-divisor long division +is linear in numerator length. Initial and final scaling by $K$ +successive constant multiplications/divisions cost $O(V\log d)$ and +occur only at the outer boundary. The extra numerator length is +$O(\log d)$, preserving the retained $O(p)$ word bound. This overhead +is subordinate to the positive-power complex layer bound. + +For explicit semantic constants use +\[ + g_h=4(c_h+v)+10v+4hv+4h^2+8h+8=408200, +\] +\[ + G_0=N_c+2v(g_h+2h)=1656684480, +\] +where endpoint additions and copied-center scalar work are included. +The complete child contributes at most $u$ binary denominator bits +and row-norm factor $2^u$, with no additional odd exponent. A local +21-division contributes fewer than five denominator-height bits, +covered by the fixed scalar charge. Set +\[ +\begin{aligned} + E_0&=64(W_c+m_c+G_0+1)^3=403063477262941121443761178688,\\ + \mathcal E&=2G_0W_c^2+8s_c+4W_c+4+32m_c\\ + &=1196393335930350962702877480,\quad 0<\epsilon<1. +\] +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 +$0\le\rho19?v5FQYOZQWD%{(yr}*l6WxR9I=gDhxXTV2L-bRoq z;`XTW(YE2w+3MNRAVD>Qu6RL&#DMS6hR#54zQ{XQTHTiDm8g~ImG>(#(kN6hzsZf6 zUDv}({=1X)WR;v^1>hxd5)+ZUOa#__!gbmys}ECZ-NQf~GCQ~X@M5P*P(D0%%TsH+ zwkPuD_&je`Pq61^Nl@0H5!jJFg>E`t1FqM}nFg|lpNg(& zy6GRU;KQfRe|k9O;sj%!Wd8_<)&D1t7c~0WbF?+s_;`A-MJ;%H1*{%+f=nq%X}k0N zIl`>SfDEOt$tg%_x$|xO!Ic6I2^d=>|!H?Kf#mPr^8B# zN?4Q@9pBU^!*8KpepRTM|9O$FPFHQN+Uh<+qC893Tnn%4stlqwwC7BbuCaOyd$D!Z zHs>aC4F@C#4(Tl?U*w8Lg|aQ|1rB&PV=YlKe^T+!sQ-9|Eh=0N&L!=znP0}(|FGGQ zLlwV<_dHXq7QsITM4=Z%w6V5j&>egA$-aW~-(xZ|7c?nd@8JXje}eLsrKjhdePet+ zl`3J7VFCKKB^nhJyjwW#N3PLHpKE*_PVJMd2N7U-vM}T3;p)pOXpr7hO}BoKq&1(- zF)&xq=VP2pNR4|IF%Ef#-_6hE*%z-q2<2mr!wA;&e_=Y|H;q#2XQ-G%XKXT5K1d&) z-(XtrdbnN9H#=GDdO8^Y)<#5B{`~_KhsY6|e&|*_dESS{b6v=^+rBOoY5tdEkCCh{ zn7r;Cd0h~BT_AZ~Kt>jsw=+`{@w2vO;{UUHZOwW{oHa9SE9-_24fvI06y1fn~aPegZUomJ>r0teGQOSaqj zvNmC&q7`lRHKWEaU~vj-zk%szGYhQ_Sj5^UH2}6cYn;>sc~`i8;Vui)YZWP}({3H21+)ac zF?KiPXEEhAOYO=Aj3t~|{w_1-&bQ2P&S|eoSoV4IDxts5nSyI#fqg_ya2PPlmGMQZ znQ5~93tN1Y^%pJRM6+q8Q%+@&pJJSa2N--fm{iLQx)KcnfBp-gaH$VW?5|r@DiQJo z0|~1|RTFV)TdC5w>|qPihF_*${ytT5+_5yGbT_y0Y^EPJwKCc!Inb}z(;pveA_^=c zkw8gxSr$>xZI+FG6s{*fVF{ZHqFd~a46ToqP<#`ovm)s=ed@MUeiT|mzP$|FIGhoo zkhuPFN#M%$w|B!(LR3@nsX2mn-olA>l3h8KiOA*8#UeB^4#TIVazydR=U~4kX zDC><5|sibp0^^%D(~@h&;b~$9$skdDOyH4u)?)rn1NhbiDzzNR_ueGa*yG==2EKE%#IBHYI$Bz zdghY0X~;(1gk3YR*U1~FT*v;c!9A4+m1>QQYVH6<CM6}W6QLDY z*~!t|eib9;rkf+N&@#9cm+f$kx799Sm$Hs9U1W|b2m_#1(Z`d++Q{8vp6~qZGgm3) zSh|=sSB_51iKi=iYi3cDjP{L+zAwFV0NVmb83s>Yv*(;4yC@z$yWGVQ3A(`-CA&Jn zNQ=6_?6esX#wHKL?Y5Q&EJW3&#e-RuzTJChP({_tM2KI)g2ln^P>Tx)dA4~=cXw~8 zFxX}_ROW=@YTx}L|Oo)~3fId=l_ zALy0o9X0B(hI2#*O^NCeQg|5~l$Bq#*3&3bZScynEG?J0g%Ex?s(hAY+Hoai?%Le^ zD-_hwh9?uH_bf&f!U%KYrfr&W(>{$UKEO6@a~8A-NF`b)lttOD^JkeIxE&qsjLn;T zlL>{;jBC;72Gl46m4|@4F`Fjmol=B4&p(G$v)v7{4b{E)Wjdr}+%#csyve28$Hmm| z0Cb$<$#I>a9x5YK|7QXgOn+k}<1^U5U>j{K z={NP8pCz|G5Mk4+zFU?ngy~fuAsJSx&%fTw@XPCsBamnRzdVVw6rf^pz-G;ocQ|6B zvUQl}$O?1#&P7$|u)~wp<3Pwywdo)#2*ZMR_q%@#v~(<7Fs~L}_%AtM2bHrDhy*=M zW=B4B_~E{xx;y#z*LmDFxS9MpyZPN{XIAnmcfxg@KfCeqV)9P#@%mPxCT;)7(_8iIowIJOo(RsJ{D91(bd$O`lmr3Y z27JPPk8WOxl~__E>X5K~S&`RRJuWD!M>r`5vsrpEfk6f1QLWs8Xyh2q z6O;PPD{TK-N5Z;d1JFIsY;&9Ka;1i%+$M*#68|3?yVhN`t z-6s~R<_r2{}< zPk$@gkC@-28VeWGRu0LrOj&-yORF>Di*yV8r9e~r@R_O%^?cm|mj%u4X+`?iu*^O_ z<|)44Axh5@9LG8Uq!^n{%>p(bqDC}1{bv&k0)U+LBcmNKGK?3TzoYrMYVV~NF=hi~ z`;)cXNM3)~S`e`RlyCn|{JG33B@MO5kgR3`TrbTl)PrKQJPGYhhu2)=xjtJE819{( z1ZrDto;`~4+wnqO#cC{Yllgb{yD%PIPne;NggkLqY>o3)vvP{A zT)^5Pr|RxTcXl-|mhY-Lcd!WMz2Chj)uc7t?rN60Ux)~v5RV_nQ+Oz)kNHN6n?p>$aU{6}IOtE&I|~&rcj>{0bFky} z4b%g1ZL?%2ht;uH9twqh_F**g$~kYtBnz|O>YM+`8Y=zi3h>2yD#3D%6D_4=;L6zb zoxBl~^cMm?4<>Rlgtl4DAg0=8K2ZsW@mZm2h@E4;1zqTPhRHTU1hUiuXV`yWTvn;K zP_`1EXgvyot*N?;3j3q~EE? zdq|PxqAaYH<%0PtwCdA>XnSjvD>v{m=6K(}`j)warZnCuX^rj-0D5!WYRmhDUti6R zMbpgiM$Yx+F?o1oEM)9LfmJeKG(GPkjc>v1^O6>m2!Pa6B$fDyM18{$txKeeyq9l;-eG3tA^pw)~}UciPpX*CwJrz4RWE zN(C@yZlOBsbLP#xc(+BJG)X}p=drqQHGJVb2fk+40>iM*$R96tvl@;c?U51|9UXV^ zueO}_5006{K4w(b{tK~wX_;M}HsMWWHXLu*lNa#XtPTutU~*zJPT|QI^AXPv58%Cz zKSw97#$=SjAhrR=`=jG~5B29p#gd~F|3ZJvP2To*_mMqF*+@iMuLWiMD^H!gRh&yI zr}~M9wBGg0j=}ueHBM9 z+wJP9A-zIyv2M!$LI$fmA$i2}xBtMYI$~azQ$0vZ@(ekeCf|-iti=2}>N~&u2?{;! zk_}#Cl<^@h`i5IPyd&@t8T+6qUux)ujCBv`Q4_MNqHflCm&T72v8d91o*mGMCrn$l zVljzAjE)F|!?w67QY`{C%tdI$e1YGz>04AgkbJYMaZ)hN->!Q_$#eBzd5OW_4X2L~ zs-TdPd^f^jV|aQ|{#z2z**x?Gy`$acRj&7}a~=OX_8CpyfKey^7R_vq z{gpp=UKs-Iv2Vooozex)YL+UDZtq^E{%cZ9a;(w~a(r)k)#1gk$|2kGs$+t(TA!qC zr1j7xS~rJsH*Qtndy`E^h4n$uz6Dg9dP7ua;k!#*gM)#Ha&ft@m(=m4CvJ;(M;#VJ z1{CKFOpYgl)y$_@;ujsv<{;|3#jaqfz&9%2K z@z+!tceykjQ^W+$l*hr_*9aDz!#!GTmQ3^dIu;2QR9D~RB)}#kL^U900oHLd1}Fb% zY^7)wy^IN5s)6l8`5wijIeKEH-@{`9EUWJfF}1x0j-S1_d+Xn6uIX}wg_q<%ESU~b z?51rUr*EfiCExxrWn(G$jxY77^RT3|u#;pwc*Rd4u71OLOAnWS*o#SXNE&Ev!`aiw*FX&VueU-h9>uppn(Gl@ zmhY^gq0;9vS((GN`R%fb{nbDqWfHX%E`_-cg&EY^dQ!*k(qs@RQ=^>D!0bD02cgv# zMoQ@;p<^%^2_x{}U1XO#~H6OZmAnWrtgq4y1r#L=@ z6CXm255dJRy0LwKM$ji>$HH6|i46u^MH(hN=1LWl4nXeU&8zDe%t7H1vwc^Al^+gU zK0oD>tnms`evn(wg5Lnfd-@yga%_v%a1*q&0)b)GB>SP|2J0C#vcE_um#;s|x|4_& zJ;9K*sZ)(AQg+Ehi3pwJ*qbE=|4x4#Cl_0UHEVN!WpVqY)6RZM-S_a+OjkxJTp99i z=~$;V-mW8ndZ+Wk<%kkkJ{Gmgb9iiP?|o&^N2Z!a;ShZDMnRfd9Lr#*j;3`0Jeq~n zn8CBB9a9@e@Eh~_nx73O<5<^T5ionVk5jNzX3H;vTf7Q5^Y z4Nf|6e~ukQofLfLqHJ&a7-TUhqULl-$-4Ulo>?K%1$``A4fji)*&_00tbc7VpdqjA ziq$Z7nW*+dn{?o)LbO8`ZK!7y~$Xj=Y$aMh5>R}{Fw#QSmBVtN{5Rg z^?bsCP q C q -> L C -> Q C Q -> C L. +``` + +Every F_s must commute with C and Q. Two advances reach a code +with only scalar and translation factors; four return the entry +code. A following advance F_- Q returns q C q directly to C L. +The F operators need not be equal if each commutation condition +holds. Interleaved operations need their own typed endpoint checks. + +For a diagonal routed operator diag(F_p), the precise scalar-code +test is + +```text +[diag(F_p),C]_(p,r) = C_(p,r) (F_p-F_r). +``` + +Thus a nonzero code edge needs equal actual advances or a proved +intertwiner. Nominal labels do not establish this operator identity. + +The actual native caller takes physical inputs (a,b)=(Qx,y) and +returns (F x',Fq y'). Its forward and backward logical responses +are y'=y+Ex and x'=x-E^T y. Therefore the physical maps are + +```text +diag(Fq,Fq) [[I,0],[E q,I]], +diag(Fq,Fq) [[I,-Q E^T],[0,I]]. +``` + +The extra odd phase in each cross-bank map remains. Diagonalizing E +does not by itself admit these complete calls. A final raw decode +also needs Q C^-1 Q, not the cheap scalar inverse alone. + +The root moving-code theorem is valid with these boundaries. Its +rank16 primitive gives an encoded endpoint, not a raw endpoint. +The complete supplier must still bind the actual routed chronology, +all cross-bank operations, code transitions, borrowed restoration, +productive child hosting, and the final decode. + +## Reproduction, credit, and status + +Run `python3 -I -B check_moving_code.py` and +`python3 -O -I -B check_moving_code.py`. Both must print +`PASS_INDEPENDENT_MOVING_CODE` and produce identical files. + +The coherent-port lane supplied the corrected reader and the +rank30 square code. The new-core-transfer lane supplied both actual +responses and the rank16 pivot code. The native-escape lane supplied +the short B block word and fixed-odd contracts. The root supplied +the reuse-cycle statement. This review independently checks their +matrix claims and emits complete paid entry swaps. It uses AI +assistance. No PR, publication, or kappa improvement is claimed. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py new file mode 100644 index 0000000000..ec317d8353 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py @@ -0,0 +1,410 @@ +"""Check the actual constant readers and complete entry words.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from math import lcm +from pathlib import Path +import gzip +import json + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +SELF_PIN = sha256(Path(__file__).read_bytes()).hexdigest() +SOURCE = LANES / "new-core-transfer-20261017/low-displacement-20261020" +SOURCES = { + "rank30": (SOURCE / "run-normal/RESPONSE-PROGRAM.json", + "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c", False), + "rank16": (SOURCE / "odd16-normal-v2/EXTENSION-PROGRAM.json.gz", + "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", True), + "directions": ( + LANES / "history-encoding/independent-skeleton-20261018/fresh-three-child/FRESH-THREE-CHILD-PROGRAMS.json.gz", + "b08cb4146f1aec241e027cd62c942f6eca4ddab3e97f000a9c0017575d36deb5", True), + "actual_data_views": ( + LANES / "bridge-access-20261017/matched-stage-access-20261018/DIMENSION25-VIEWS.json", + "125e74660e99d824f8699eed72c1facb59287976bf2c47fda533d654b8344473", False), + "constant_word_proof": ( + LANES / "native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md", + "d231301931e0877825b9ff3b4005dff865268d6e0557e8f8e05766375543e86a", False), + "entry_code_proof": ( + LANES / "coherent-port/section-entry-20261020/SECTION.md", + "8b1eaa55da0ce4b15d1618f0fa7279977be2fb59f86cfbd31604b071795b44ea", False), + "rank30_code": ( + LANES / "coherent-port/section-entry-20261020/SECTION.json", + "23568099ea426947015eca86f7d86742a4758f33327e725b047441daab7c8bd7", False), + "rank16_code": ( + SOURCE / "pivot-codes/final-normal/PIVOT-CODES.json", + "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", False), +} + + +def need(test, message): + if not test: + raise ValueError(message) + + +def sparse(rows): + return [{int(j): F(c) for j, c in row.items()} for row in rows] + + +def clean(row): + return {j: c for j, c in row.items() if c} + + +def plus(a, b, scale=F(1)): + out = dict(a) + for j, c in b.items(): + out[j] = out.get(j, F(0)) + scale*c + return clean(out) + + +def product(a, b): + out = [] + for row in a: + result = {} + for j, c in row.items(): + result = plus(result, b[j], c) + out.append(result) + return out + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def inverse(a): + n = len(a) + rows = [[a[i].get(j, F(0)) for j in range(n)] + + [F(i == j) for j in range(n)] for i in range(n)] + determinant = F(1) + for j in range(n): + pivot = next(i for i in range(j, n) if rows[i][j]) + if pivot != j: + rows[pivot], rows[j] = rows[j], rows[pivot] + 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])] + return [clean({j: rows[i][n+j] for j in range(n)}) for i in range(n)], determinant + + +def add(target, source, c): + return ["ADD", target, source, c.numerator, c.denominator] + + +def scale(target, c): + n, d = abs(c.numerator), c.denominator + need(n & (n-1) == 0 and d & (d-1) == 0, "A dyadic unit scale") + word = [] + word += [["DOUBLE", target]]*(n.bit_length()-1) + word += [["HALF", target]]*(d.bit_length()-1) + if c < 0: + word.append(["NEGATE", target]) + return word + + +def reverse_word(word): + inverse_op = {"DOUBLE": "HALF", "HALF": "DOUBLE", + "NEGATE": "NEGATE", "MUL_ODD": "DIV_ODD", + "DIV_ODD": "MUL_ODD", "TRANSLATE": "TRANSLATE"} + result = [] + for gate in reversed(word): + if gate[0] == "ADD": + result.append(add(gate[1], gate[2], -F(gate[3], gate[4]))) + else: + result.append([inverse_op[gate[0]], *gate[1:]]) + return result + + +def b_word(rank, b): + word = [] + if rank == 30: + for i in range(0, 16, 2): + x, y = 112+i, 113+i + word.append(add(y, x, F(-1))) + word.append(["MUL_ODD", x, 3]) + word.append(add(x, y, F(-1))) + word += [["DOUBLE", y], ["NEGATE", x], ["NEGATE", y]] + for i in range(16, rank): + need(b[i] == {i: b[i][i]}, "The small block is scalar") + odd = int(-b[i][i]) + need(odd in (3, 5), "Actual odd clique size") + word += [["MUL_ODD", 112+i, odd], ["NEGATE", 112+i]] + else: + need(rank == 16, "The rank16 word") + for i in range(rank): + if i < 8: + word.append(["MUL_ODD", 112+i, 3]) + word += scale(112+i, F(-2)) + else: + word += scale(112+i, F(-8)) + return word + + +def apply_gate(state, gate): + op, target = gate[:2] + if op == "ADD": + state[target] = plus(state[target], state[gate[2]], F(gate[3], gate[4])) + elif op == "TRANSLATE": + state[target] = {(field, g ^ gate[2]): c for (field, g), c in state[target].items()} + else: + factors = {"DOUBLE": F(2), "HALF": F(1, 2), "NEGATE": F(-1)} + if op == "MUL_ODD": + c = F(gate[2]) + elif op == "DIV_ODD": + c = F(1, gate[2]) + else: + c = factors[op] + state[target] = {j: c*x for j, x in state[target].items()} + + +def word_invoice(word): + scalar = 0 + odd = Counter() + maps = 0 + for gate in word: + op = gate[0] + if op == "ADD": + c = F(gate[3], gate[4]) + n, d = abs(c.numerator), c.denominator + need(d & (d-1) == 0, "The ADD word is dyadic") + scalar += 2*(1+n.bit_length()+n.bit_count()+d.bit_length()) + elif op == "TRANSLATE": + maps += 1 + elif op in ("MUL_ODD", "DIV_ODD"): + odd[op+"_"+str(gate[2])] += 1 + else: + scalar += 2 + return {"dyadic_real_primitives": scalar, "uniform_translation_map_calls": maps, + "complex_odd_scans": dict(sorted(odd.items())), "literal_opcodes": len(word), + "owned_array_count": 0, "new_native_children": 0} + + +def summary_matrix(a): + return {"nonzero_entries": sum(map(len, a)), + "denominator_lcm": lcm(*(c.denominator for row in a for c in row.values())), + "infinity_norm": str(max(sum(map(abs, row.values())) for row in a))} + + +def gf2_rank(vectors): + basis = {} + for x in vectors: + while x: + bit = x.bit_length()-1 + if bit in basis: + x ^= basis[bit] + else: + basis[bit] = x + break + return len(basis) + + +def square_code_check(name, payload, u, d, e, centre): + rank = len(d) + if name == "rank30": + code, code_inverse = sparse(payload["C0"]), sparse(payload["C0_inverse"]) + carriers = payload["selected_carriers"] + minor = [u[p] for p in carriers] + minor_inverse, det = inverse(minor) + need(str(det) == payload["minor_determinant"] == "-1/256", "Actual unit minor") + need(minor_inverse == sparse(payload["minor_inverse"]), "Independent actual minor inverse") + need(all(c.denominator == 1 for row in minor_inverse for c in row.values()), + "The minor inverse is integral") + u_minor_inverse = product(u, minor_inverse) + expected = [] + carrier_index = {p: j for j, p in enumerate(carriers)} + for p in range(112): + if p in carrier_index: + expected.append(d[carrier_index[p]]) + else: + expected.append(plus({p: F(1)}, {carriers[j]: -c for j, c in u_minor_inverse[p].items()})) + need(code == expected, "The normalized section code is the stated physical matrix") + target = identity(112) + for i, p in enumerate(carriers): + target[p] = {carriers[j]: c for j, c in centre[i].items()} + need(target == sparse(payload["encoded_response"]), "The actual encoded response") + else: + code, code_inverse = sparse(payload["code"]), sparse(payload["code_inverse"]) + carriers = payload["pivots"] + need(len(carriers) == rank and len(set(carriers)) == rank, "Actual sixteen pivots") + target = identity(112) + for i, p in enumerate(carriers): + target[p] = {p: F(-5 if i < 8 else -7)} + need(target == sparse(payload["diagonal_response"]), "Diagonal action in physical pivot slots") + for word_name, expected in (("code", code), ("inverse_code", code_inverse)): + state = identity(112) + for op, target_field, source_field, coefficient in payload["scalar_words"][word_name]: + c = F(coefficient) + if op == "add": + state[target_field] = plus(state[target_field], state[source_field], c) + else: + need(op in ("scale", "fixed_multiply", "fixed_divide"), "Actual pivot opcode") + if op == "fixed_divide": + c = 1/c + state[target_field] = {j: c*x for j, x in state[target_field].items()} + need(state == expected, "Independent pivot word replay: "+word_name) + need(product(code, code_inverse) == product(code_inverse, code) == identity(112), + "Both actual square-code inverse orders") + need(product(product(code, e), code_inverse) == target, "Full C E C^-1 endpoint") + return {"all_input_columns": 112, "carriers": carriers, + "code": summary_matrix(code), "inverse": summary_matrix(code_inverse), + "encoded_response_diagonal": all(set(row) == {i} for i, row in enumerate(target)), + "literal_pivot_words_checked": name == "rank16", + "normalized_section_form_checked": name == "rank30"} + + +def main(): + data = {} + for name, (path, pin, compressed) in SOURCES.items(): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Source pin: "+name) + if path.suffix != ".md": + data[name] = json.loads(raw) + q = [row["q"] for row in data["directions"]["transfers"]] + actual_q = {row["port"]: row["q"] for row in data["actual_data_views"]["entries"] if row["stage"] == 0} + need(q == [actual_q[i] for i in range(112)], "All actual directions") + results, programs = {}, {} + for name in ("rank30", "rank16"): + model = data[name].get("model", data[name]) + u, v = sparse(model["correction_U"]), sparse(model["correction_V"]) + e, ei = sparse(model["response"]), sparse(model["response_inverse"]) + r = len(v) + need(len(u) == len(e) == len(ei) == 112, "Actual array dimensions") + uv = product(u, v) + need(e == [plus(row, {i: F(1)}) for i, row in enumerate(uv)], "E=I+UV") + need(product(e, ei) == product(ei, e) == identity(112), "Actual E inverse in both orders") + b = product(v, u) + bi, determinant_b = inverse(b) + need(product(b, bi) == product(bi, b) == identity(r), "B0 inverse in both orders") + m = [plus(row, {i: F(1)}) for i, row in enumerate(b)] + mi, determinant_m = inverse(m) + d = product(bi, v) + need(product(d, u) == identity(r), "D0 U=I") + if r == 30: + expected = [] + for i in range(0, 16, 2): + expected += [{i: F(-4), i+1: F(1)}, {i: F(2), i+1: F(-2)}] + expected += [{i: F(-len(clique))} for i, clique in enumerate(model["small_cliques"], 16)] + need(b == expected and determinant_m == 2**25, "Actual rank30 small blocks and determinant") + else: + need(b == [{i: F(-6 if i < 8 else -8)} for i in range(16)], "Actual rank16 constant reader") + need(determinant_m == 35**8, "Rank16 determinant") + expected_ei = [plus({i: F(1)}, row, F(-1)) + for i, row in enumerate(product(product(u, mi), v))] + need(ei == expected_ei, "Actual full inverse agrees with the centre code") + square_code = square_code_check(name, data[name+"_code"], u, d, e, m) + + bw = b_word(r, b) + bwi = reverse_word(bw) + for word, matrix in ((bw, b), (bwi, bi)): + state = [{(i, 0): F(1)} for i in range(112+r)] + for gate in word: + apply_gate(state, gate) + need(state[:112] == [{(i, 0): F(1)} for i in range(112)], "B0 word does not change data") + need(state[112:] == [{(112+j, 0): c for j, c in row.items()} for row in matrix], + "Actual B0 word matrix") + for gate in reverse_word(word): + apply_gate(state, gate) + need(state == [{(i, 0): F(1)} for i in range(112+r)], "Literal inverse order") + + u_adds = [add(p, 112+j, c) for p, row in enumerate(u) for j, c in sorted(row.items())] + v_adds = [add(112+i, p, -c) for i, row in enumerate(v) for p, c in sorted(row.items())] + translations = [["TRANSLATE", p, q[p]] for p in range(112)] + middle = bw+v_adds+bwi + word = translations+u_adds+middle+u_adds+[["NEGATE", 112+i] for i in range(r)]+translations + state = [{(i, 0): F(1)} for i in range(112+r)] + max_norm, max_odd_height = F(1), {3: 0, 5: 0, 7: 0} + for gate in word: + apply_gate(state, gate) + row = state[gate[1]] + max_norm = max(max_norm, sum(map(abs, row.values()))) + for c in row.values(): + odd = c.denominator + while odd % 2 == 0: + odd //= 2 + for prime in max_odd_height: + height = 0 + while odd % prime == 0: + height += 1 + odd //= prime + max_odd_height[prime] = max(max_odd_height[prime], height) + need(odd == 1, "No other odd denominator") + ud = product(u, d) + expected = [] + for p, row in enumerate(ud): + out = {(p, 0): F(1)} + out = plus(out, {(j, q[p] ^ q[j]): -c for j, c in row.items()}) + out = plus(out, {(112+j, q[p]): c for j, c in u[p].items()}) + expected.append(out) + expected += [{(p, q[p]): c for p, c in row.items()} for row in d] + need(state == expected, "All arbitrary input columns of the physical entry swap") + for gate in word: + apply_gate(state, gate) + need(state == [{(i, 0): F(1)} for i in range(112+r)], "Two complete entry swaps restore all fields") + invoice = word_invoice(word) + need(invoice["dyadic_real_primitives"] == (5076 if r == 30 else 4448), "Exact scalar bill") + need(invoice["uniform_translation_map_calls"] == 224, "Two complete translation passes") + + # A coefficient check suffices for the free-Q identities: + # D_out J_out = B^-1 V Q^-1 Q U and + # J_out B D_out = Q (U B B^-1 V) Q^-1. + need(product(product(u, b), d) == uv, "Exact output correction coefficients") + need(product(m, mi) == product(mi, m) == identity(r), "Centre response inverse") + obstruction = [] + if r == 16: + for i, clique in enumerate(model["small_cliques"]): + lines = [q[p] for p in clique] + chi = next(x for x in range(512) + if sum(1-2*((x & line).bit_count() % 2) for line in lines) == 0) + obstruction.append({"clique": i, "ports": clique, "direction_rank": gf2_rank(lines), + "zero_character": chi, + "signs": [1-2*((chi & line).bit_count() % 2) for line in lines]}) + need(gf2_rank(lines) == 8, "Each actual even clique has independent directions") + serial = lambda a: [{str(j): str(c) for j, c in sorted(row.items())} for row in a] + programs[name] = {"B0": serial(b), "B0_inverse": serial(bi), "D0": serial(d), + "centre_response": serial(m), "centre_response_inverse": serial(mi), + "B0_word": bw, "B0_inverse_word": bwi, "entry_word": word, + "layout": {"data": [0, 111], "centres": [112, 111+r]}, + "scalar_endpoint": "((I-U D0)a+Uz,D0a)", + "physical_endpoint": "((I-L U D0 L)a+L Uz,D0 L a)"} + results[name] = { + "correction_rank": r, "arbitrary_input_fields": 112+r, + "B0_determinant": str(determinant_b), "centre_determinant": str(determinant_m), + "B0_inverse": summary_matrix(bi), "D0": summary_matrix(d), + "centre_response_inverse": summary_matrix(mi), + "entry_invoice": invoice, "middle_shear_invoice": word_invoice(middle), + "max_atomic_opcode_prefix_row_norm": str(max_norm), + "max_atomic_opcode_prefix_odd_height": max_odd_height, + "old_phase_section_singular_witnesses": obstruction, + "physical_translation_group_ring_replay": True, + "both_literal_B0_inverse_orders": True, + "both_entry_swap_applications_restore_all_inputs": True, + "square_code": square_code, + } + raw = (json.dumps(programs, sort_keys=True, separators=(",", ":"))+"\n").encode() + (HERE/"MOVING-CODE-PROGRAM.json.gz").write_bytes(gzip.compress(raw, mtime=0)) + need(sha256(Path(__file__).read_bytes()).hexdigest() == SELF_PIN, "Checker stayed fixed") + receipt = { + "status": "PASS_INDEPENDENT_MOVING_CODE", + "checker_sha256": SELF_PIN, + "source_pins": {name: {"path": str(path), "sha256": pin, "decompressed": compressed} + for name, (path, pin, compressed) in SOURCES.items()}, + "results": results, + "code_cycle_Q_exponents": [[0, 2], [3, 3], [2, 0], [1, 1], [0, 2]], + "program_decompressed_sha256": sha256(raw).hexdigest(), + "scope": "Actual matrices, complete arbitrary-input entry words, and all-width algebra. The native phase premise, productive centre lifetime, legal global routes, odd-grid admission, and complete recursive cost remain separate.", + } + (HERE/"CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True)+"\n") + print(receipt["status"]) + print(json.dumps(results, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json new file mode 100644 index 0000000000..183838b870 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.json @@ -0,0 +1,3573 @@ +{ + "B0": [ + { + "0": "-4", + "1": "1" + }, + { + "0": "2", + "1": "-2" + }, + { + "2": "-4", + "3": "1" + }, + { + "2": "2", + "3": "-2" + }, + { + "4": "-4", + "5": "1" + }, + { + "4": "2", + "5": "-2" + }, + { + "6": "-4", + "7": "1" + }, + { + "6": "2", + "7": "-2" + }, + { + "8": "-4", + "9": "1" + }, + { + "8": "2", + "9": "-2" + }, + { + "10": "-4", + "11": "1" + }, + { + "10": "2", + "11": "-2" + }, + { + "12": "-4", + "13": "1" + }, + { + "12": "2", + "13": "-2" + }, + { + "14": "-4", + "15": "1" + }, + { + "14": "2", + "15": "-2" + }, + { + "16": "-5" + }, + { + "17": "-5" + }, + { + "18": "-5" + }, + { + "19": "-5" + }, + { + "20": "-5" + }, + { + "21": "-5" + }, + { + "22": "-5" + }, + { + "23": "-5" + }, + { + "24": "-5" + }, + { + "25": "-3" + }, + { + "26": "-3" + }, + { + "27": "-3" + }, + { + "28": "-5" + }, + { + "29": "-5" + } + ], + "B0_determinant": "2214337500000000", + "B0_inverse": [ + { + "0": "-1/3", + "1": "-1/6" + }, + { + "0": "-1/3", + "1": "-2/3" + }, + { + "2": "-1/3", + "3": "-1/6" + }, + { + "2": "-1/3", + "3": "-2/3" + }, + { + "4": "-1/3", + "5": "-1/6" + }, + { + "4": "-1/3", + "5": "-2/3" + }, + { + "6": "-1/3", + "7": "-1/6" + }, + { + "6": "-1/3", + "7": "-2/3" + }, + { + "8": "-1/3", + "9": "-1/6" + }, + { + "8": "-1/3", + "9": "-2/3" + }, + { + "10": "-1/3", + "11": "-1/6" + }, + { + "10": "-1/3", + "11": "-2/3" + }, + { + "12": "-1/3", + "13": "-1/6" + }, + { + "12": "-1/3", + "13": "-2/3" + }, + { + "14": "-1/3", + "15": "-1/6" + }, + { + "14": "-1/3", + "15": "-2/3" + }, + { + "16": "-1/5" + }, + { + "17": "-1/5" + }, + { + "18": "-1/5" + }, + { + "19": "-1/5" + }, + { + "20": "-1/5" + }, + { + "21": "-1/5" + }, + { + "22": "-1/5" + }, + { + "23": "-1/5" + }, + { + "24": "-1/5" + }, + { + "25": "-1/3" + }, + { + "26": "-1/3" + }, + { + "27": "-1/3" + }, + { + "28": "-1/5" + }, + { + "29": "-1/5" + } + ], + "C0": [ + { + "0": "1/3", + "2": "1/3", + "25": "1/3", + "27": "1/3", + "70": "1/3", + "71": "-1/6", + "72": "1/3", + "76": "-1/6", + "87": "-1/6", + "89": "1/3", + "90": "-1/6", + "91": "1/3" + }, + { + "1": "-1/5", + "17": "-1/5", + "66": "-1/5", + "75": "-1/5", + "83": "-1/5" + }, + { + "0": "-1/2", + "2": "1", + "20": "-1/2", + "27": "-1/2", + "46": "1/2" + }, + { + "3": "-1/5", + "32": "-1/5", + "38": "-1/5", + "50": "-1/5", + "95": "-1/5" + }, + { + "33": "-1/5", + "4": "-1/5", + "69": "-1/5", + "74": "-1/5", + "88": "-1/5" + }, + { + "34": "-1/5", + "40": "-1/5", + "5": "-1/5", + "85": "-1/5", + "97": "-1/5" + }, + { + "100": "-1/5", + "101": "-1/5", + "102": "-1/5", + "6": "-1/5", + "98": "-1/5" + }, + { + "106": "1/2", + "41": "1/2", + "61": "-1/2", + "7": "1", + "9": "-1/2" + }, + { + "107": "-1/5", + "109": "-1/5", + "12": "-1/5", + "45": "-1/5", + "8": "-1/5" + }, + { + "0": "1/3", + "13": "1/3", + "14": "1/3", + "15": "-1/3", + "27": "-1/3", + "51": "1/3", + "52": "1/3", + "53": "-1/3", + "78": "-1/6", + "81": "1/6", + "92": "-1/6", + "99": "-1/6" + }, + { + "10": "1", + "20": "1/2", + "46": "1/2", + "61": "-1/2", + "9": "-1/2" + }, + { + "106": "-1/6", + 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"selected_carriers": [ + 0, + 27, + 9, + 61, + 11, + 63, + 20, + 46, + 37, + 110, + 41, + 106, + 76, + 87, + 78, + 99, + 5, + 3, + 24, + 23, + 1, + 8, + 29, + 26, + 4, + 18, + 19, + 39, + 6, + 31 + ], + "selected_q": [ + 11, + 38, + 69, + 104, + 261, + 296, + 161, + 140, + 274, + 319, + 194, + 239, + 448, + 493, + 506, + 471, + 259, + 67, + 385, + 321, + 19, + 37, + 134, + 22, + 131, + 145, + 273, + 162, + 13, + 26 + ], + "source_sha256": { + "pair_flags": "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", + "response": "5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c" + }, + "transported_code": "C_out = Q^-1 C0 Q^-1", + "transported_response": "diag(Q_A^-1 H Q_A,I_U)" +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.md b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.md new file mode 100644 index 0000000000..a3b52de302 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/SECTION.md @@ -0,0 +1,304 @@ +# An entry code for the actual rank-thirty response + +The actual factorization E=I+UV admits an invertible code on the existing +112 data fields. It exposes thirty correction coordinates and retains +the other eighty-two coordinates. It needs no additional data family. +The selected minor has determinant -1/256 and an integral inverse. + +A translation at entry selects the correct phase orientation. After a +positive Q-to-FULL advance, the correction Q E Q^-1 acts only on the +thirty encoded coordinates. Fourteen of those actions are scalar. +The other sixteen form eight two-field actions with the same +isotropic line difference 45. + +These are exact algebra and interface results. They do not give a +complete coded native F/B call or a raw terminal decoder. The precise +remaining code transitions are stated below. + +## Inputs and notation + +The pinned response is +`new-core-transfer-20261017/low-displacement-20261020/run-normal/RESPONSE-PROGRAM.json`, +SHA256 +`5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c`. +It supplies U with 112 rows and 30 columns and V with 30 rows. + +Write Q=diag(C_qp) for the physical port lines and L=Q^2. For every +tensor width, Q^4=I and L is a fieldwise uniform translation. Put + +```text +B0 = VU, D0 = B0^-1 V, +H = I+B0. +``` + +For the actual factors, B0 consists of eight blocks + +```text +[ -4 1 ] +[ 2 -2 ] +``` + +and fourteen scalar blocks: eleven -5 and three -3. Thus B0 is +invertible. The block determinants are six. The corresponding H +blocks are [[-3,1],[2,-1]], -4, and -2. H and H^-1 are dyadic. +B0^-1 can have factors three and five in its denominator. + +The constant-word compiler and its price belong to the +`native-escape-20261017/rational-code-admission-20261020` packet. +This packet verifies the matrices but does not replace that compiler. + +## An arbitrary-state section exchange + +Set + +```text +J = L U, D = D0 L. +``` + +Then DJ=D0 U=I. For a data bank a and an independent thirty-field bank z, +the map + +```text +S(a,z) = ((I-JD)a+Jz, Da) +``` + +is an involution. One ordered implementation is + +```text +a += Jz +z -= Da using the updated a +a += Jz using the updated z +z *= -1 +``` + +Both inputs are arbitrary. One application transfers the old z into +the data. It does not restore z. A second matched application restores +both banks. + +The two L factors can be placed outside a constant scalar section +exchange: + +```text +S = diag(L,I) S_(U,D0) diag(L,I). +``` + +Thus the entry maps use translations and scalar operations. This +does not make their execution cost zero. An additive D0 service on an +arbitrary centre bank can use B0, a V gather, and B0^-1. Its scalar, +odd-division, and stream costs must be charged. + +Under the physical advance diag(F Q^-1,F), where F is common to both +banks and commutes with the displayed port operators, the section +becomes + +```text +J_out = Q U, D_out = B0^-1 V Q^-1. +``` + +This is the required orientation: + +```text +Q E Q^-1 = I + J_out B0 D_out. +``` + +In the output section coordinates this action is identity on the +data complement and H on the centre bank. A thirty-field productive +cohort and its advance F are not supplied by the factorization. + +## A square code on the existing data + +Use these thirty physical carrier slots, in the stated order: + +```text +0,27,9,61,11,63,20,46,37,110,41,106,76,87,78,99, +5,3,24,23,1,8,29,26,4,18,19,39,6,31. +``` + +Call this set A and its complement B. The rows U_A form a unit with +determinant -1/256. Its inverse has integer entries. Store centre +coordinate j in physical slot A[j]. Define the square code C0 by + +```text +c = D0 a, +r = a_B - U_B U_A^-1 a_A. +``` + +Here C0 is a matrix name. It does not denote the private scratch field +called C0 in older source packets. The inverse is + +```text +u = c - (D0)_B r, +a_A = U_A u, +a_B = r + U_B u. +``` + +Both inverse orders hold on every input. The following block updates +give C0 in place: + +```text +a_A = U_A^-1 a_A +a_B -= U_B a_A +a_A += (D0)_B a_B +``` + +The final additive map must retain the current arbitrary a_A. It can +be lowered as B0 on a_A, then a V_B gather, then B0^-1 on a_A. +The full code preserves all 112 input coordinates. It makes + +```text +C0 E C0^-1 = diag(H,I_B). +``` + +The checker verifies the ordered block updates and both inverse +orders on all 112 columns. It does not emit an elementary scalar +word or claim its scan cost. + +## Exact code transport + +Use the entry code + +```text +C_in = C0 L. +``` + +This differs from the square code built directly from J,D only by +the free translation L_B on the complement coordinates. + +For an all-data advance A_plus=F Q^-1, assume F is common to all +fields and commutes with C0 and Q. The transported code is + +```text +C_out = A_plus C_in A_plus^-1 = Q^-1 C0 Q^-1. +``` + +Let M=Q E Q^-1. Then + +```text +C_out M C_out^-1 = diag(Q_A^-1 H Q_A,I_B). +``` + +The selected carrier phases remain. The statement is not +C_out M C_out^-1=diag(H,I_B) unless H commutes with Q_A. + +For the chosen A, its first sixteen slots are eight complete physical +pairs from the pinned cyclic source. Every pair has q_p+q_r=45. +Assign one two-coordinate H block to each pair. On such a pair the +transported block is + +```text +[ -3 C_qp^-1 C_qr ] +[ 2 C_qr^-1 C_qp -1 ]. +``` + +It can use two ordered off-diagonal ADDs and two sign changes. +The common isotropic gauge from +`coherent-port/isotropic-pair-gauge-20261018/GAUGE.md` makes each of +these ADD views monomial. That theorem does not make the gauge +entrance or exit free. Without an inherited gauge, two rank-one +line passes on the sixteen fields give a conservative 32-rank +implementation. The fourteen scalar blocks commute with their +carrier phases and need no native phase conversion. + +For the rank-sixteen alternative response, H is diagonal. The same +transport equation then leaves a scalar centre action. Its actual +minor and native capture are separate work in the new-core lane. + +With fixed C0 and Q, repeated positive advances transport the code +through + +```text +C0 L -> Q^-1 C0 Q^-1 -> L C0 -> Q C0 Q -> C0 L. +``` + +Every even boundary has only scalar and translation factors. A +negative advance FQ returns the first odd code to C0 L. These +identities need the stated common-F condition. They do not by +themselves bind a stage-dependent routed code. + +## Actual native caller and remaining work + +The literal source at +`new-core-transfer-20261017/low-displacement-20261020/native-normal-v2/NATIVE-PROGRAM.json.gz` +has decompressed SHA256 +`e387b082422f085efc8122497cdda0b5211a86b0418af4b9fdbc1da15ac71558`. +It has two 112-field data banks. Its other 416 fields are arbitrary +and unchanged. It forms no thirty-field centre cohort. + +Its physical input is (a,b)=(Qx,y). Therefore its complete physical +maps, before any new code, have the form + +```text +forward = diag(Fq,Fq) [ I 0 ] + [ E q I ], + +backward = diag(Fq,Fq) [ I -Q E^T ] + [ 0 I ], +``` + +where q=Q^-1. Thus both data banks have the same diagonal advance, +but the cross-bank maps also contain an odd Q factor. A common +square code on both banks does not remove that factor merely +because it diagonalizes E. + +At a raw output, the inverse code is + +```text +C_out^-1 = Q C0^-1 Q. +``` + +For two stages with different constant or routed codes, the proposed +transition is + +```text +C_in,t C_out,s^-1 = C0,t Q^-1 C0,s^-1 Q. +``` + +These are phase-coded data maps. No free implementation is supplied +here. A complete caller must admit the cross-bank maps, the code +transitions, the final raw output, all native child interfaces, and +the scalar and finite-precision costs. The entry code alone does +not improve the complete kappa bound. + +## Why the earlier reader choice does not close the same section + +The other valid section uses T=V L U and D=T^-1 V at entry. After +positive progress its reader is T^-1 VQ. The required terminal reader +is VQ^-1. The latter does not factor through the former. + +At the actual character chi=92, the matrix formed by stacking V and +V diag((-1)^(chi dot q_p)) has rank sixty. The payload gives a +sixty-column minor with a nonzero determinant modulo 1000003. +Since V has rank thirty, the restriction of VQ^-1 to ker(VQ) has +rank thirty. This is an exact counterexample to a centre-only +action for that reader choice. It does not apply to the shifted +reader D0 L used above. + +The character can be extended by zero columns. The counterexample +therefore persists at every positive tensor width. It is not a +native-child lower bound. + +## Checks and scope + +Run from the workspace root: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/check_section.py +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/coherent-port/section-entry-20261020/check_section.py +``` + +Expected output is `PASS_EXACT_RANK30_ENTRY_SECTION`. The two JSON +outputs must be byte-identical. The source packets are hash checked +and are not changed. The checker tests the exact matrices and the +constant block program. The phase transport equations are general +proofs; a new routed native circuit is not emitted. + +The root supplied the section and code-transport task. The new-core +lane supplied U,V and the native source. The native-escape lane +supplied the one-reader section word and the constant-matrix +compiler. This lane selected the actual minor, checked the square +code, selected the shifted reader, and stated the remaining physical +interfaces. AI assistance was used. + +No PR, commit, push, or publication is authorized. 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z8zT-5$jhv6NA@lUeiT(y5wLfq9fzF-Toh*qeDnjfG6MP?juJd|IHr`B8 z<>!fv+}Cq-UC+3P+0YB9!0mjN+j&O}d4{}zDHZypl;0;!pUH8FveuNIt}i3XC=ie7 zh$75LVjKhDg)pFs4(aU+WLBR$JJOm1gu{$y4j;zmYFZD+5M=?0(p%|b7jHW(?R=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/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md new file mode 100644 index 0000000000..6e46d8d129 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md @@ -0,0 +1,227 @@ +# Constant centre readers for the actual rank-sixteen and rank-thirty responses + +The actual factors E=I+UV have an invertible constant matrix B0=VU in +both source families. A section can therefore use + +```text +J_in = Q^2 U, D_in = B0^-1 V Q^2. +``` + +Since Q^4=I on every physical line, D_in J_in=I. This choice does not +need the translation inverse of VQ^2U. In particular, the singularity +of that translation matrix in the rank-sixteen family does not obstruct +this reader. Source capture, physical views, and the later returned +code still need their own proofs. + +This packet gives literal scalar words for B0, B0^-1, G0=I+B0, and +G0^-1. Every word acts on one existing centre bank in a proved common +chart. It uses no owned field, no native child, and no address map +inside that chart. It is not a native query service on an arbitrary +retired bank. + +The four rank-sixteen words also work in independent linear frames +on their fields. The proof below makes this stronger scope explicit. + +## Actual matrices and complete local prices + +The checker pins the actual U and V in the rank-thirty response and +the frozen rank-sixteen native extension. It forms VU directly and +checks E=I+UV against each source's full 112-port response. + +For rank sixteen, + +```text +B0 = diag(-6 I_8, -8 I_8), +G0 = diag(-5 I_8, -7 I_8). +``` + +For rank thirty, B0 has eight blocks B and fourteen scalar blocks. +Eleven scalar blocks are -5 and three are -3. Here + +```text +B = [-4 1], G = I+B = [-3 1]. + [ 2 -2] [ 2 -1] +``` + +Thus G0 has eight copies of G, eleven scalars -4, and three scalars -2. +The block G has determinant one. Its inverse is integral. + +All prices below include every sign, binary scale, and unit ADD in +the literal word. Fixed-odd scans are separate from the old scalar +tariff. A complex unit ADD costs eight old real units. A complex sign +or one-bit binary scale costs two. + +| Family and direction | Old real scalar units | Real fixed-odd scans | +| --- | ---: | --- | +| Rank sixteen B0 | 96 | 16 multiplications by 3 | +| Rank sixteen B0^-1 | 96 | 16 divisions by 3 | +| Rank sixteen G0 | 32 | 16 multiplications by 5 and 16 by 7 | +| Rank sixteen G0^-1 | 32 | 16 divisions by 5 and 16 by 7 | +| Rank thirty B0 | 204 | 22 multiplications by 3 and 22 by 5 | +| Rank thirty B0^-1 | 204 | 22 divisions by 3 and 22 by 5 | +| Rank thirty G0 or G0^-1 | 270 | 0 | + +The rank-sixteen reader therefore needs only the odd prime three. +The primes five and seven are needed when that caller uses G0^-1. +For rank thirty, the reader uses three and five, but G0 and its +inverse are Gaussian dyadic. These are different obligations. + +## Short large-block words + +For B on a pair (x,y), use + +```text +y -= x +x *= 3 +x -= y +y *= 2 +negate x and y +``` + +The outputs are (-4x_old+y_old, 2x_old-2y_old). This word has two +unit ADDs, one binary scale, two signs, and one complex fixed-odd +multiplication. Its old scalar charge is 22. Reverse the event order +and invert each event to obtain B^-1 with the same old charge and +one complex division by three. + +For G use + +```text +y -= 2x +x -= y +negate x and y +``` + +Implement y-=2x by doubling x, doing one unit ADD, and halving x. +The temporary scale is restored before the next update. The outputs +are (-3x_old+y_old, 2x_old-y_old). Its price is 24 old units. Reversing +the literal word gives G^-1 at the same price. + +No live field is cleared or overwritten. Each scalar gate is an +invertible rational operation on arbitrary centre inputs. Unrelated +data, arbitrary borrowed fields, and private fields are unchanged. + +## Independent frames for the rank-sixteen constants + +All gates in each rank-sixteen word act on one field at a time. +For any declared linear frame F_j and scalar c in the word, + +```text +c F_j z = F_j(c z). +``` + +This identity holds for each binary scale, sign, and exact fixed-odd +operation. It also holds for arbitrary independent choices of F_j on +the sixteen fields. Thus these four words need no frame alignment +and no entry or exit view. Their prices in the table are unchanged +at such a framed cut. + +The identity is exact. An unproved rounded division cannot use it +to claim restoration. The common odd grid and full precision guard +remain required. The frame argument does not form the centre, +establish ownership, or move a source read to that cut. + +The rank-thirty words have interfield ADDs within their eight pairs. +Those ADDs still need their actual common frame or a proved +intertwiner. This paragraph does not remove that requirement. + +## Prefix bounds and exact grids + +The checker uses exact fractions on all centre columns and two +arbitrary spectator columns. It verifies that no event reads or writes +a spectator. Thus the unchanged-field claim holds for any number of +unrelated roles. It checks both inverse orders and each valid-code +division. + +| Family and word | Maximum stored row sum | Binary height | New odd height | +| --- | ---: | ---: | --- | +| Rank sixteen B0 | 8 | 0 | 0 | +| Rank sixteen B0^-1 | 1 | 3 | 1 at 3 | +| Rank sixteen G0 | 7 | 0 | 0 | +| Rank sixteen G0^-1 | 1 | 0 | 1 at 5 and 7 | +| Rank thirty B0 | 5 | 0 | 0 | +| Rank thirty B0^-1 | 3/2 | 1 | 1 at 3 and 5 | +| Rank thirty G0 | 4 | 0 | 0 | +| Rank thirty G0^-1 | 5 | 2 | 0 | + +The row sums are relative to the maximum magnitude of the module's +input fields. Twice the displayed bound is a safe bound for a +unit-ADD temporary. The stored input has row sum one, even when all +later inverse values have smaller magnitude. + +Generic inverse calls use the exact common-grid method in +`CLIQUE-CODE-GRID.md`, with the prime set in this table. A valid +B0-code or G0-code can use its inverse without a new odd root factor. +Immediately before each inverse division, the relevant linear +combination has the required odd factor. The checker tests this +divisibility on every input column. A generic reader input must not +be labelled a valid code without that proof. + +The fixed-odd scan cost is at most 4(w_g+1) arithmetic-head steps per +real record. Thus the rank-sixteen B0 inverse adds at most +64 n(w_g+1) such steps for n records per real field. The rank-thirty +B0 inverse adds at most 176 n(w_g+1). Descriptor and record-counter +work is separate and linear. Any required entry and exit views retain +their full address-map prices. The diagonal rank-sixteen constants +require none. + +## A whole-state code for a section + +The following statement supplies a typed-code interface. It does not +claim that the supplier has implemented the required entry or exit. +Let J and D be actual operators with DJ=I_r. Choose r data rows A +such that J_A is a Gaussian-dyadic unit. Let O denote the other data +rows. Define the square data code + +```text +C(a) = (D a, a_O - J_O J_A^-1 a_A). +``` + +For code coordinates (c,r), its inverse is + +```text +u = c - D_O r, +a_A = J_A u, +a_O = r + J_O u. +``` + +Substitution proves both inverse orders. The proof uses +D_A J_A+D_O J_O=I. It does not commute D through J. +Extend C by identity on every unrelated physical role, including +all borrowed roles. This gives a whole-state type. + +If J, J_A^-1, and the required routes and frames are Gaussian dyadic, +the odd height of both C and C^-1 is at most the odd height of D. +For the rank-sixteen reader above this is one at three. For the +rank-thirty reader it is one at three and five. The native children +and all scalar prefixes still need the typed relations in +`TYPED-CODE-POTENTIAL.md`. These local code bounds do not establish +those relations. + +In particular, replacing a bank's entry type C_in by its output type +C_out requires the exact full endpoint C_out A C_in^-1 with dyadic +semantic A on all roles. Productive helper progress, address frames, +interstage changes, and the final raw output remain separate +obligations. No factor is cancelled merely because two callers use +the same odd primes. + +## Reproduction and attribution + +Run the companion checker with a new output directory: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py --out /tmp/centre-constants-normal +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/check_centre_constants.py --out /tmp/centre-constants-optimized +``` + +Expected status: `PASS_ACTUAL_CENTRE_CONSTANT_CODES`. Both output +files must match byte for byte. + +The source factors come from the cyclic-pair and low-displacement +work. The coherent-port lane supplied the constant-reader choice, +the square section code, and the short G block factor. This packet +supplies the short B block factor, actual complete constant words, +and their exact local grid and cost bounds. OpenAI Codex assisted +the proof and checks. No publication is authorized. Before a future +PR description, read +/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md new file mode 100644 index 0000000000..5918800b01 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md @@ -0,0 +1,348 @@ +# Exact scalar codes for the signed rank-sixteen response + +The actual pair modes and an actual partition of the other 64 ports give +a full 112-port response E with rank(E-I)=16. Its only eigenvalues are +1, -5, and -7. Both E and its inverse have an in-place scalar word on the +112 data fields. The words need no owned field and no native child at a +proved common-frame cut. + +Each word costs 3,420 old real scalar units and 32 real fixed-odd scans. +The forward scans multiply by five or seven. The inverse scans divide +by five or seven. These scans are separate from the old scalar tariff. +The inverse has at most one new factor five and one new factor seven +at every prefix. All other data and borrowed fields remain unchanged. + +This is an exact scalar construction for the full response. The new +native supplier word, its phases, its helper progress, the controller, +and the complete recursive invoice have separate proofs. In particular, +this packet does not supply a native inverse response. It supplies the +inverse at an already legal common-frame cut. + +## The actual response + +The source files are pinned in `check_clique_codes.py` and the receipt. +The actual pair codes, all 48 mode carriers, and their eight groups come +from `CYCLIC-FLAGS.json`, SHA256 +`3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585`. +The four sign changes and the certified eight-clique sets come from +`RESPONSE-PROGRAM.json`, SHA256 +`5832788135e16c2427f8c746f251501621684a02ef88b0a14322056653dc2d7c`. +The checker also binds both scalar endpoints to the frozen native +extension's `response` and `response_inverse`. Its compressed source is +`odd16-normal-v2/EXTENSION-PROGRAM.json.gz`, SHA256 +`7160a8764f0b12131e30dd1ca90a28b781b9dd99e8eb2f1935b8592aaf48037b`. +Its decompressed payload has SHA256 +`d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4`. +This equality binds the scalar code to the native response. It does +not repeat the native word or phase checks. + +Let A be the direct sum of the 24 signed two-by-two pair codes, extended +by identity on the other 64 ports. Each pair block satisfies + +```text +A_e A_e^T = 2I, A_e^-1 = A_e^T/2. +``` + +The six carriers at a vertex have a sign vector d_v. Four vertices have +one negative sign each. The other entries are positive. In pair-mode +coordinates, the 48-port block is the direct sum of + +```text +C_v = I_6 - d_v d_v^T, C_v^-1 = I_6 - d_v d_v^T/5. +``` + +On each of the eight certified disjoint eight-cliques, use + +```text +C_8 = I_8 - 1_8 1_8^T, C_8^-1 = I_8 - 1_8 1_8^T/7. +``` + +The 16 groups partition all 112 physical mode labels. Set + +```text +E = A^-1 (direct sum of the 16 blocks) A. +``` + +For a block of size k and a sign vector d, d^T d=k. Thus I-dd^T acts +by 1 on the kernel of d^T and by -(k-1) on its span. This proves + +```text +rank(E-I) = 16, +det(E) = 35^8, +(E-I)(E+5I)(E+7I) = 0, +E^-1 = (E^2+11E+23I)/35. +``` + +The checker constructs both full matrices from the actual pair codes +and carrier sets. It checks both inverse orders and the polynomial +identity with exact fractions. + +The full inverse uses only five and seven. This statement does not +apply to every principal inverse. In particular, a caller that inverts +the 104-port ordinary complement of the selected-eight split introduces +31. Such +a caller must add 31 to its grid and prefix analysis. The determinant +of the full E does not remove that obligation. + +## A word without an owned field + +First conjugate a signed block by its signs. For an unsigned block of +size k, choose its last field as the pivot p. Let the other fields be +x_i. The forward word is + +```text +x_i -= p for every nonpivot i +p *= -(k-1) +p -= x_i for every nonpivot i +x_i += p for every nonpivot i +``` + +After the first loop, x_i is its old value minus the old pivot. The +middle two steps set p to minus the sum of the old nonpivot values. +The final loop therefore returns I-11^T on every coordinate, including +the pivot. + +The inverse word is + +```text +x_i -= p for every nonpivot i +p += x_i for every nonpivot i +p /= -(k-1) +x_i += p for every nonpivot i +``` + +Its new pivot is the old pivot minus the total old sum divided by k-1. +The other outputs have the same correction. This is the stated inverse. +Each word uses three unit-ADD loops, one sign change, and one fixed-odd +scan on each real component of p. No arbitrary data value is cleared. + +For the full word, apply A, apply the four mode signs, run all 16 +blocks, undo the signs, and apply A^-1. The signed pair words use only +unit ADDs, signs, doubling, and halving. Their full literal events are +in `verified-final-normal/CLIQUE-CODES.json`. + +The checker replays 112 independent data columns and two arbitrary +spectator columns. It also checks that no event reads or writes an +index outside the 112 data fields. Thus any number of unrelated borrowed +or owned fields stays exactly unchanged. The two spectator columns are +a check of this scope argument, not a substitute for a helper schedule. + +## Complete scalar invoice + +Each direction has 384 complex unit ADDs, 126 complex signs, and +48 complex binary scales. The retained prices are eight real units +per unit ADD and two per sign or binary scale. Thus + +```text +384*8 + 126*2 + 48*2 = 3420. +``` + +There are eight complex fixed-odd operations with divisor or multiplier +five and eight with divisor or multiplier seven. These are 32 real scans. +Neither direction uses C0, another owned field, or a native child. +There is no address map inside the common chart. + +At a current input-Y cut with frame I, the constant scalar word acts +directly. At a completed-X cut, use the existing current-stage views to +obtain a common FULL chart, apply the word, then undo the views. One +conservative external count is 112 entry views and 112 exit views. +Each view consists of its ordered route and translation, so this is +448 monomial applications when those two operations are counted apart. +Their inherited address-map costs must be paid. No O(V) shortcut is +claimed for interleaved selected bits. + +This access statement does not cover an old query on retired Y or an +arbitrary new physical output code. A new cut must prove its actual +view and phase identity before it uses this scalar invoice. + +Exact prefix row-sum bounds, relative to the full word's input, are +20 for the forward word and 18 for the inverse. These include the pair +codes, sign changes, pivot loops, and all 112 live fields. One extra +binary fractional bit suffices for either word. A factor 64 is a safe +stored-value and unit-ADD temporary bound for either direction. This +local bound is not a guard for the complete recursive supplier. + +## Exact generic division + +The retained fixed-tape model evaluates a complete butterfly layer +exactly before its final truncation. It does not require every local +coefficient to be dyadic. The retained common odd grid already admits +fixed odd division, including arbitrary borrowed input values. + +Let r_5 and r_7 bound additional odd height in every prefix of one +finite parent, after completed children are replaced by their proved +dyadic endpoints. One occurrence of the full E^-1 word adds at most +one to each bound, not eight. A block divides only its own pivot, once. +The other blocks act on disjoint mode coordinates. The final pair +inverse is dyadic. This proves the height statement on arbitrary input. + +If D bounds the number of recursive edges in a live chain, set + +```text +K_5 = r_5 (D+1), K_7 = r_7 (D+1), +S = 5^K_5 7^K_7. +``` + +At the outer entrance, multiply the padded numerator of every physical +numeric record by S. This includes all arbitrary borrowed data, +helpers, and numeric work streams. Do not scale addresses, tags, or +descriptors. Use one common grid 2^-P/S and one common width throughout. +Private zero values stay zero. No local module changes the format. + +Each unfinished node adds at most its local height. A completed +dyadic child adds no odd height. Thus every quotient lies on the +common grid, and every encoded numerator is divisible by the requested +odd divisor. At an outer endpoint proved Gaussian dyadic on all roles, +divide every numeric numerator by S exactly. This restores the old +encoding, including every borrowed role's required endpoint. + +One real fixed-odd multiplication or division costs at most 4(w_g+1) +arithmetic-head steps per record under the retained scan convention. +The concrete carry and head-pass argument is the pinned A8 odd-grid +proof, SHA256 +`e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01`. +For a fixed positive odd divisor d, scan the input bits from low to +high. With input bit b and carry c, division writes + +```text +a = (b-c) mod 2, c' = (c+d*a-b)/2, c starts at 0. +``` + +Each transition preserves 0<=c> i & 1), + key=lambda i: (adjacent[i] & possible).bit_count(), default=0) + todo = possible & ~adjacent[pivot] + while todo: + bit = todo & -todo + i = bit.bit_length() - 1 + todo -= bit + visit(chosen | bit, possible & adjacent[i], excluded & adjacent[i]) + possible -= bit + excluded |= bit + + visit(0, (1 << n) - 1, 0) + return [[ports[i] for i in range(n) if mask >> i & 1] for mask in sorted(result)] + + +def encoded(rows): + return [{str(p): str(c) for p, c in sorted(row.items())} for row in rows] + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + cyclic = read(next(name for name in PINS if "CYCLIC" in name)) + matching = read(next(name for name in PINS if "MATCHED" in name)) + selected, small = matching["selected_ports"], matching["small_ports"] + selected_set = set(selected) + q = cyclic["ports"] + h = identity(112) + codes = [] + for pair in cyclic["pair_codes"]: + a, b = pair["ports"] + aa, ab = pair["matrix"][0] + ba, bb = pair["matrix"][1] + h[a], h[b] = {a: F(aa), b: F(ab)}, {a: F(ba), b: F(bb)} + if aa != 1: + codes.append(["scale", a, None, str(aa)]) + codes.extend([["add", a, b, str(ab)], ["scale", b, None, str(2 * bb)], + ["add", b, a, str(ba * aa)]]) + hi = transpose(h, 112) + for p in cyclic["affected_ports"]: + hi[p] = {k: v / 2 for k, v in hi[p].items()} + need(product(h, hi) == identity(112), "Actual pair inverse") + mode = identity(112) + mode_inverse = identity(112) + mode_u, mode_v = [{} for _ in range(112)], [] + mode_word, assignments = [], [] + for vertex, group in enumerate(cyclic["cyclic_carriers"]): + chosen = [p for p in group if selected_set.intersection(map(int, cyclic["mode_rows"][str(p)]))] + rest = [p for p in group if p not in chosen] + need(len(chosen) == 2 and len(rest) == 4, "Two selected modes per vertex") + order = chosen + rest + signs = [1, 1 if vertex % 2 == 0 else -1, 1, 1, 1, 1] + e = [{j: F((i == j) - 1) for j in range(4) if i != j} | {4: F(1)} + for i in range(4)] + e += [{5: F(1)}, {0: F(-2), 1: F(-2), 2: F(-2), 3: F(-2), 4: F(3)}] + swap = [0, 1, 2, 3, 5, 4] + ei = [{swap[j]: c for j, c in e[swap[i]].items()} for i in range(6)] + need(product(e, ei) == product(ei, e) == identity(6), "Six-mode reciprocal pair") + for i, p in enumerate(order): + mode[p] = {order[j]: c * signs[i] * signs[j] for j, c in e[i].items()} + mode_inverse[p] = {order[j]: c * signs[i] * signs[j] for j, c in ei[i].items()} + offset = len(mode_v) + local_u = [[1, 0]] * 4 + [[0, 1], [2, -1]] + local_v = [[-1, -1, -1, -1, 1, 0], [0, 0, 0, 0, -1, 1]] + for i, p in enumerate(order): + mode_u[p].update({offset + j: F(value * signs[i]) + for j, value in enumerate(local_u[i]) if value}) + mode_v.extend([{order[j]: F(value * signs[j]) for j, value in enumerate(row) if value} + for row in local_v]) + a, b, c = order[:4], order[4], order[5] + for i, p in enumerate(a): + mode_word.append(["add", b, p, str(-signs[i])]) + for i, p in enumerate(a): + mode_word.append(["add", p, b, str(signs[i])]) + mode_word.append(["scale", b, None, "-1"]) + for i, p in enumerate(a): + mode_word.append(["add", b, p, str(signs[i])]) + mode_word.extend([["add", b, c, "1"], ["add", c, b, "-1"], + ["add", b, c, "1"], ["scale", c, None, "-1"]]) + assignments.append({"vertex": vertex, "ordered_carriers_a_b_c": order, "signs": signs}) + need(replay(mode_word)[0] == mode, "In-place rank-two mode code") + response, response_inverse = product(hi, product(mode, h)), product(hi, product(mode_inverse, h)) + u, v = product(hi, mode_u), product(mode_v, h) + small_word = [] + need(sorted(p for group in CLIQUES for p in group) == sorted(small), "Exact disjoint64 cover") + for group in CLIQUES: + k = len(group) + need(k in (3, 5), "Dyadic clique size") + need(all((q[p] & q[r]).bit_count() % 2 == int(p == r) + for p in group for r in group), "Actual orthonormal clique") + for p in group: + response[p] = {r: F(-1) for r in group if r != p} + response_inverse[p] = {r: F(int(p == r)) - F(1, k - 1) for r in group} + u[p] = {len(v): F(-1)} + v.append({p: F(1) for p in group}) + a, rest = group[0], group[1:] + small_word.extend([["add", a, p, "1"] for p in rest]) + small_word.extend([["add", p, a, "-1"] for p in rest]) + small_word.append(["scale", a, None, str(1 - k)]) + small_word.extend([["add", a, p, "-1"] for p in rest]) + word = codes + mode_word + inverse_word(codes) + small_word + common_words = {"E": word, "inverse_E": inverse_word(word), + "transpose_E": transpose_word(word), + "inverse_transpose_E": transpose_word(inverse_word(word))} + expected = {"E": response, "inverse_E": response_inverse, + "transpose_E": transpose(response, 112), + "inverse_transpose_E": transpose(response_inverse, 112)} + word_receipts = {} + for name, gates in common_words.items(): + actual, maximum = replay(gates) + need(actual == expected[name], "Full112 scalar code " + name) + need(replay(gates + inverse_word(gates))[0] == identity(112), "Both code orders " + name) + word_receipts[name] = {"real_scalar_primitives": price(gates), + "prefix_row_l1_bound": str(maximum), "owned_fields": 0} + need(product(response, response_inverse) == product(response_inverse, response) == identity(112), + "Full112 reciprocal products") + correction = [dict(row) for row in response] + for i in range(112): + add(correction[i], {i: F(-1)}) + need(product(u, v) == correction and rank(u, 30) == rank(v, 112) == 30, + "Exact full rank30 correction factor") + l = restrict(response, selected) + li = [{int(p): F(c) for p, c in row.items()} for row in matching["selected_inverse"]] + old_l = [{int(p): F(c) for p, c in row.items()} for row in matching["selected_block"]] + need(l == restrict(response_inverse, selected) == old_l, "Both selected blocks retain L") + need(product(l, li) == identity(8), "Selected inverse") + ordinary = sorted(set(range(112)) - selected_set) + p = [{j: response_inverse[r].get(s, F(0)) for j, s in enumerate(selected) + if response_inverse[r].get(s)} for r in ordinary] + n = [{j: response_inverse[r].get(s, F(0)) for j, s in enumerate(ordinary) + if response_inverse[r].get(s)} for r in selected] + ordinary_inverse = restrict(response_inverse, ordinary) + for row, update in zip(ordinary_inverse, product(product(p, li), n)): + add(row, update, -1) + ordinary_block = restrict(response, ordinary) + need(product(ordinary_block, ordinary_inverse) == product(ordinary_inverse, ordinary_block) + == identity(104), "Both ordinary104 inverse orders") + need(all(not c.denominator & (c.denominator - 1) + for row in ordinary_inverse for c in row.values()), "Dyadic ordinary inverse") + maxima = maximal_cliques(small, q) + histogram = Counter(map(len, maxima)) + need(histogram == {4: 896, 8: 64}, "Exhaustive maximal clique census") + # A separate exhaustive extension pass checks the absence of a ninth vertex. + need(all(not any(p not in clique and all(not (q[p] & q[r]).bit_count() % 2 for r in clique) + for p in small) for clique in maxima), "Each reported clique is maximal") + receipt = { + "status": "PASS_LOW_DISPLACEMENT_RESPONSE", + "source_pins": PINS, "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "correction_rank_large48": 16, "correction_rank_small64": 14, "correction_rank_full112": 30, + "selected_determinant": str(determinant(l)), + "full_determinant": str(determinant(response)), + "ordinary104_determinant": str(determinant(ordinary_block)), + "small_clique_sizes": dict(sorted(Counter(map(len, CLIQUES)).items())), + "all_maximal_small_clique_sizes": dict(sorted(histogram.items())), + "common_frame_scalar_codes": word_receipts, + "scope": "Exact port matrices, principal units, scalar codes and geometry. Native phases and terminal access are separate.", + } + payload = { + "source_pins": PINS, "ports": q, "selected_ports": selected, "ordinary_ports": ordinary, + "large_ports": cyclic["affected_ports"], "small_ports": small, + "vertex_assignments": assignments, "mode_response": encoded(mode), + "mode_inverse": encoded(mode_inverse), "small_cliques": CLIQUES, + "response": encoded(response), "response_inverse": encoded(response_inverse), + "correction_U": encoded(u), "correction_V": encoded(v), + "selected_block": encoded(l), "selected_inverse": encoded(li), + "ordinary_inverse": encoded(ordinary_inverse), "common_frame_words": common_words, + "maximal_small_cliques": maxima, + } + raw = (json.dumps(payload, indent=2, sort_keys=True) + "\n").encode() + (args.out / "RESPONSE-PROGRAM.json").write_bytes(raw) + receipt["payload_sha256"] = sha256(raw).hexdigest() + (args.out / "RESPONSE-CHECKS.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n") + print(json.dumps(receipt, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/odd16-normal-v2/EXTENSION-PROGRAM.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..971848a84429d5ec824ff71cba41950b4f4c4697 GIT binary patch literal 286160 zcmX6^V|XP^x1HEdW@6j6ZD-<~*tTt(6Wg|JXJT_=^8`2Vcl$>_-Cb3C?^PmO%~@DNAw;vD6H(mgJrU`wYcV?Vo@x}n3YeS6qNi17c5cSoFLpOOg{-Ze z*FMo(tFdIWBJ(I-A1pj;$%Rc+6l2=17ANgWC>OX=~ z&*W6Xmo_rH4`PV%8AHl{SCjNpOONV}Jd8r>;58;bwmnFq+R9kSRyxYQFBVYp#gMK< zwhS|*0Yfj~U+N{yUf!Y7&T;<8wiTfUYqcTO#`7oqSdNIWS#ikrUCFBOF=s>WTh3RV z04jFcbg$>6rL+e+a<~+pC*e_Oot|q6WG1>yO`6b8j2C8Elqb8Y!-rj4k1Q*)H3 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b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/FREEZE.json new file mode 100644 index 0000000000..084aaa26ce --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/FREEZE.json @@ -0,0 +1,11 @@ +{ + "files": { + "PIVOT-CODES.md": "83bd71d85136b0d1045897aeecddfe8c064bbd00fb989b58acb8eab25f1e868d", + "emit_pivot_codes.py": "af2f2ab1c5daba0bcd1a8878f2b81b2834e10a4f8ca1a2ef66779d52b30e64b4", + "final-normal/CHECKS.json": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546", + "final-normal/PIVOT-CODES.json": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670" + }, + "normal_optimized_byte_identical": true, + "scope": "Literal common-entry code and inverse, exact local grid and address-map counts. Productive moving-code transport and raw terminal require separate caller proofs.", + "status": "PASS_RANK16_EXISTING_PORT_PIVOT_CODE" +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md new file mode 100644 index 0000000000..5bbb1cf4f9 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md @@ -0,0 +1,135 @@ +# Centre sums in existing data fields + +The exact rank-sixteen response has an in-place code on its 112 +data fields. The code puts its sixteen centre sums in sixteen +existing data fields and puts independent complement data in the +other 96 fields. It needs no additional field and no zero input. + +Let H be the actual signed pair code on the large 48 ports, extended +by identity on the small 64 ports. In these coordinates the response +is the direct sum of eight signed six-mode blocks I-dd^T and eight +eight-port blocks I-11^T. The signed vectors have entries of absolute +value one. Their exact port lists and signs come from the frozen +rank-sixteen native payload. + +Apply H. In each block, first multiply each coordinate by its sign. +Let p be the first coordinate of the block and let k be its size. +Apply the following word: + +```text +x_i -= p for all other coordinates i +p *= k +p += x_i for all other coordinates i +``` + +The pivot now holds the sum of the old signed coordinates. Each +other coordinate holds its old signed value minus the old signed +pivot. The reverse word recovers every input. It does not clear +arbitrary data or use an accumulator. + +Call this complete code C. Let A be the set of its sixteen pivot +ports. The exact matrix identity is + +```text +C E C^-1 = D, +``` + +where D multiplies the first eight pivots by -5, the other eight +pivots by -7, and the 96 complement fields by 1. This is a coordinate +change for the full response. It is not a native inverse response. + +## Literal cost and retained grid + +The one-way pair code H costs 470 old real scalar units. The eight +six-mode capture words and their four signs cost 664 units and +sixteen real fixed-three multiplication scans. The eight small +capture words cost 944 units. Thus C costs + +```text +470 + 664 + 944 = 2078 old real scalar units, +plus 16 real fixed-three multiplication scans. +``` + +Its inverse has the same old scalar cost and sixteen real +fixed-three division scans. Each direction uses no native child +and no owned field. + +The forward prefix row one-norm is at most 12. Its binary and odd +fractional heights are zero. The inverse prefix row one-norm is at +most 8, with at most three new binary fractional bits and one new +factor three in the denominator. These bounds include the pair code +and its inverse. The blocks are disjoint in mode coordinates, so +their eight divisions do not add eight powers of three. + +The fixed-three scans require the retained common-root grid on all +numeric input streams, including arbitrary borrowed streams. The +grid theorem and its root conversion are a separate implementation +dependency. This packet proves the local height bound. It does not +claim a complete recursive precision invoice. + +## Entry square code and transport + +Let L=Q^2. Each L_p is the actual translation by q_p. The entry code + +```text +C_in = C L +``` + +is literal: apply one translation to each of the 112 current data +fields, then apply C. These are 112 explicit address maps, with +their descriptor and streaming costs separate from the scalar +invoice. The translation is on the input side of C. The checker +rejects the opposite order. + +This word is available on the current physical arrays at a common +entry chart. A use at another cut must prove its views. In +particular, this is not a free capture inside the cyclic native +word. That word has different source flags at each vertex and no +common full-vertex cut before FULL. + +Write q=Q^-1. The proposed transported code is + +```text +C_out = q C q. +``` + +Its exact algebraic action on the physical response is + +```text +C_out (Q E q) C_out^-1 + = q C E C^-1 Q + = q D Q + = D. +``` + +The cancellations occur only at equal adjacent ports. No Q is +moved through C or E. The last equality holds because D is diagonal +in the physical port labels and has scalar entries. + +This identity makes the encoded centre action simple. It does not +implement C_out or its inverse at a retired output cut. A raw-output +decoder, the next-stage transition, the full productive helper +contract, and recursive child hosting remain separate obligations. +The current native word still advances only the two data banks. + +## Verification + +`emit_pivot_codes.py` pins the native response and the actual pair +geometry. It checks all 640 independent inputs, with 528 fields +outside the active bank unchanged. It checks every centre sum, +every complement row, both inverse orders, and C E C^-1=D. + +The spatial interpreter stores exact translation labels on each +input coefficient. It checks C_in, both literal spatial inverse +orders, and the wrong-side-square control. It does not replace an +unproved output chart by a free scalar cut. + +The final outputs are in `final-normal/` and `final-optimized/`. +Both files are byte-identical between these runs. The earlier empty +run directories are retained: the invoice check caught a manual +double count of the pair code. The exact literal invoice is 2078. + +The code uses the native rank-sixteen response, the retained-grid +construction, and the moving-code identity developed by the root, +native-escape, and coherent-port lanes. AI assistance was used. +No PR or complete supplier improvement is claimed. diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/emit_pivot_codes.py b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/emit_pivot_codes.py new file mode 100644 index 0000000000..a29bb99743 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/emit_pivot_codes.py @@ -0,0 +1,227 @@ +#!/usr/bin/env python3 +"""Emit an in-place centre code for the exact rank-sixteen response.""" + +import argparse +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 +PARENT = HERE.parent +LANES = PARENT.parents[1] +PINS = { + PARENT / "check_response.py": + "c6d92104e4345816e86163f6c1dea24fbd9b6e9b133ffd2e0c646dca17ca00a8", + LANES / "independent-review-20261017/cyclic-pair-flags-20261018/CYCLIC-FLAGS.json": + "3034e1df3670f64e5b79a51a435d7903f3be7cef10d6b486a8bd4d420c989585", +} +SOURCE = PARENT / "odd16-normal-v2/EXTENSION-PROGRAM.json.gz" +SOURCE_PIN = "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4" + + +def need(test, message): + if not test: + raise ValueError(message) + + +for path, pin in PINS.items(): + need(sha256(path.read_bytes()).hexdigest() == pin, "Source pin " + str(path)) +spec = importlib.util.spec_from_file_location("response_helpers", PARENT / "check_response.py") +r = importlib.util.module_from_spec(spec) +spec.loader.exec_module(r) + + +def inverse(word): + result = [] + for op, target, source, coefficient in reversed(word): + if op == "fixed_multiply": + result.append(["fixed_divide", target, source, coefficient]) + elif op == "fixed_divide": + result.append(["fixed_multiply", target, source, coefficient]) + elif op == "translate": + result.append([op, target, source, coefficient]) + else: + value = F(coefficient) + result.append([op, target, source, str(1 / value if op == "scale" else -value)]) + return result + + +def replay(word, spatial=False): + state = [{(i, 0): F(1)} if spatial else {i: F(1)} for i in range(640)] + norm, binary_height, odd_height = F(1), 0, 0 + for op, target, source, coefficient in word: + need(0 <= target < 112, "Only data targets") + if op == "translate": + need(spatial, "Translation requires the spatial interpreter") + state[target] = {(i, t ^ int(coefficient)): c for (i, t), c in state[target].items()} + elif op == "add": + need(0 <= source < 112 and source != target, "Only distinct data sources") + r.add(state[target], state[source], F(coefficient)) + else: + need(op in ("scale", "fixed_multiply", "fixed_divide"), "Literal scalar grammar") + value = F(coefficient) + if op == "fixed_divide": + value = 1 / value + state[target] = {i: c * value for i, c in state[target].items() if c * value} + norm = max(norm, sum(abs(c) for c in state[target].values())) + for coefficient in state[target].values(): + denominator = coefficient.denominator + binary = odd = 0 + while denominator % 2 == 0: + denominator //= 2 + binary += 1 + while denominator % 3 == 0: + denominator //= 3 + odd += 1 + need(denominator == 1, "Only the declared binary and odd-three grid") + binary_height, odd_height = max(binary_height, binary), max(odd_height, odd) + for i in range(112, 640): + need(state[i] == ({(i, 0): F(1)} if spatial else {i: F(1)}), + "Every other arbitrary input stays unchanged") + return state[:112], { + "maximum_prefix_row_one_norm": str(norm), + "additional_binary_height": binary_height, + "additional_odd_three_height": odd_height, + } + + +def price(word): + old, odd_multiply, odd_divide, translations = 0, 0, 0, 0 + for gate in word: + if gate[0] == "fixed_multiply": + odd_multiply += 2 + elif gate[0] == "fixed_divide": + odd_divide += 2 + elif gate[0] == "translate": + translations += 1 + else: + old += r.price([gate]) + return { + "old_real_scalar_units": old, + "real_fixed_three_multiplication_scans": odd_multiply, + "real_fixed_three_division_scans": odd_divide, + "explicit_translation_maps": translations, + "native_children": 0, + "owned_fields": 0, + } + + +def make_code(model, cyclic): + word = [] + pair_matrix = r.identity(112) + for pair in cyclic["pair_codes"]: + a, b = pair["ports"] + aa, ab = pair["matrix"][0] + ba, bb = pair["matrix"][1] + pair_matrix[a], pair_matrix[b] = {a: F(aa), b: F(ab)}, {a: F(ba), b: F(bb)} + if aa != 1: + word.append(["scale", a, None, str(aa)]) + word.extend([["add", a, b, str(ab)], ["scale", b, None, str(2 * bb)], + ["add", b, a, str(ba * aa)]]) + groups = [ + {"ports": item["ordered_carriers_a_b_c"], "signs": item["signs"], "kind": "large"} + for item in model["vertex_assignments"] + ] + groups += [{"ports": group, "signs": [1] * 8, "kind": "small"} + for group in model["small_cliques"]] + need(sorted(p for group in groups for p in group["ports"]) == list(range(112)), + "The sixteen mode blocks partition all data fields") + modes = r.identity(112) + diagonal = r.identity(112) + for group in groups: + ports, signs = group["ports"], group["signs"] + pivot, size = ports[0], len(ports) + group["pivot"] = pivot + group["centre_multiplier"] = 1 - size + for p, sign in zip(ports, signs): + if sign == -1: + word.append(["scale", p, None, "-1"]) + for p in ports[1:]: + word.append(["add", p, pivot, "-1"]) + if size == 6: + word.extend([["scale", pivot, None, "2"], + ["fixed_multiply", pivot, None, "3"]]) + else: + need(size == 8, "The exact rank-sixteen block sizes") + word.append(["scale", pivot, None, "8"]) + for p in ports[1:]: + word.append(["add", pivot, p, "1"]) + modes[pivot] = {p: F(sign) for p, sign in zip(ports, signs)} + for p, sign in zip(ports[1:], signs[1:]): + modes[p] = {p: F(sign), pivot: F(-signs[0])} + diagonal[pivot] = {pivot: F(1 - size)} + return word, groups, r.product(modes, pair_matrix), diagonal + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=False) + raw = gzip.decompress(SOURCE.read_bytes()) + need(sha256(raw).hexdigest() == SOURCE_PIN, "Exact native response source") + model = json.loads(raw)["model"] + cyclic = json.loads(next(path.read_bytes() for path in PINS if path.name == "CYCLIC-FLAGS.json")) + word, groups, expected, diagonal = make_code(model, cyclic) + reverse = inverse(word) + code, growth = replay(word) + code_inverse, inverse_growth = replay(reverse) + need(code == expected, "Literal centre sums and complement differences") + need(replay(word + reverse)[0] == replay(reverse + word)[0] == r.identity(112), + "Both literal inverse orders") + response = [{int(p): F(c) for p, c in row.items()} for row in model["response"]] + need(r.product(code, r.product(response, code_inverse)) == diagonal, + "The exact response has sixteen scalar centre actions") + entry = [["translate", p, None, str(q)] for p, q in enumerate(model["ports"])] + word + entry_rows, entry_growth = replay(entry, spatial=True) + want_entry = [{(p, model["ports"][p]): c for p, c in row.items()} for row in code] + need(entry_rows == want_entry, "Each input line square is on the correct side of the code") + need(replay(entry + inverse(entry), spatial=True)[0] + == replay(inverse(entry) + entry, spatial=True)[0] + == [{(p, 0): F(1)} for p in range(112)], "Both literal spatial inverse orders") + wrong = word + entry[:112] + need(replay(wrong, spatial=True)[0] != want_entry, "Wrong-side square control") + need(price(word)["old_real_scalar_units"] == price(reverse)["old_real_scalar_units"] == 2078, + "Literal complete scalar invoice") + payload = { + "source_decompressed_sha256": SOURCE_PIN, + "groups": groups, + "pivots": [group["pivot"] for group in groups], + "code": r.encoded(code), + "code_inverse": r.encoded(code_inverse), + "diagonal_response": r.encoded(diagonal), + "scalar_words": {"code": word, "inverse_code": reverse}, + "entry_square_word": entry, + "entry_square_inverse_word": inverse(entry), + } + data = (json.dumps(payload, indent=2, sort_keys=True) + "\n").encode() + (args.out / "PIVOT-CODES.json").write_bytes(data) + checks = { + "status": "PASS_RANK16_EXISTING_PORT_PIVOT_CODE", + "source_decompressed_sha256": SOURCE_PIN, + "checker_sha256": sha256(Path(__file__).read_bytes()).hexdigest(), + "payload_sha256": sha256(data).hexdigest(), + "arbitrary_input_columns": 640, + "unchanged_other_fields": 528, + "new_fields": 0, + "code_invoice": price(word), + "inverse_invoice": price(reverse), + "entry_square_invoice": price(entry), + "code_prefix": growth, + "inverse_prefix": inverse_growth, + "entry_prefix": entry_growth, + "both_scalar_inverse_orders": True, + "both_spatial_inverse_orders": True, + "wrong_side_square_rejected": True, + "transport_scope": "The common-entry code is literal. The formal transported code q C q diagonalizes Q E q because its sixteen centre multipliers are scalar. No raw-output decoder or stage transition is supplied.", + } + (args.out / "CHECKS.json").write_text(json.dumps(checks, indent=2, sort_keys=True) + "\n") + print(checks["status"], checks["code_invoice"], checks["code_prefix"], checks["inverse_prefix"]) + + +if __name__ == "__main__": + main() diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/CHECKS.json b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/CHECKS.json new file mode 100644 index 0000000000..f215e2a19b --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/CHECKS.json @@ -0,0 +1,52 @@ +{ + "arbitrary_input_columns": 640, + "both_scalar_inverse_orders": true, + "both_spatial_inverse_orders": true, + "checker_sha256": "af2f2ab1c5daba0bcd1a8878f2b81b2834e10a4f8ca1a2ef66779d52b30e64b4", + "code_invoice": { + "explicit_translation_maps": 0, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 0, + "real_fixed_three_multiplication_scans": 16 + }, + "code_prefix": { + "additional_binary_height": 0, + "additional_odd_three_height": 0, + "maximum_prefix_row_one_norm": "12" + }, + "entry_prefix": { + "additional_binary_height": 0, + "additional_odd_three_height": 0, + "maximum_prefix_row_one_norm": "12" + }, + "entry_square_invoice": { + "explicit_translation_maps": 112, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 0, + "real_fixed_three_multiplication_scans": 16 + }, + "inverse_invoice": { + "explicit_translation_maps": 0, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 16, + "real_fixed_three_multiplication_scans": 0 + }, + "inverse_prefix": { + "additional_binary_height": 3, + "additional_odd_three_height": 1, + "maximum_prefix_row_one_norm": "8" + }, + "new_fields": 0, + "payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "source_decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "status": "PASS_RANK16_EXISTING_PORT_PIVOT_CODE", + "transport_scope": "The common-entry code is literal. The formal transported code q C q diagonalizes Q E q because its sixteen centre multipliers are scalar. No raw-output decoder or stage transition is supplied.", + "unchanged_other_fields": 528, + "wrong_side_square_rejected": true +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/PIVOT-CODES.json b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/PIVOT-CODES.json new file mode 100644 index 0000000000..1903d28176 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/PIVOT-CODES.json @@ -0,0 +1,11255 @@ +{ + "code": [ + { + "0": "1", + "2": "1", + "25": "1", + "27": "1", + "70": "1", + "71": "1", + "72": "1", + "76": "1", + "87": "1", + "89": "1", + "90": "1", + "91": "1" + }, + { + "1": "1", + "19": "1", + "5": "1", + "54": "1", + "64": "1", + "73": "1", + "82": "1", + "83": "1" + }, + { + "0": "-1", + "2": "1", + "25": "1", + "27": "-1" + }, + { + "22": "1", + "3": "1", + "4": "1", + "50": "1", + "60": "1", + "69": "1", + "80": "1", + "84": "1" + }, + { + "3": "-1", + "4": "1" + }, + { + "1": "-1", + "5": "1" + }, + { + "35": "1", + "38": "1", + "39": "1", + "40": "1", + "6": "1", + "77": "1", + "85": "1", + "86": "1" + }, + { + "10": "1", + "11": "1", + "57": "1", + "61": "1", + "62": "1", + "63": "1", + "7": "1", + "79": "-1", + "81": "1", + "9": "1", + "92": "1", + "94": "-1" + }, + { + "103": "1", + "107": "1", + "108": "1", + "109": "1", + "12": "1", + "45": "1", + "8": "1", + "88": "1" + }, + { + "111": "-1", + "36": "1", + "61": "-1", + "9": "1" + }, + { + "10": "1", + "57": "-1", + "62": "1", + "7": "-1" + }, + { + "11": "1", + "15": "1", + "53": "-1", + "63": "-1" + }, + { + "12": "1", + "8": "-1" + }, + { + "0": "-1", + "13": "1", + "27": "1", + "51": "1" + }, + { + "0": "-1", + "14": "1", + "27": "1", + "52": "1" + }, + { + "0": "-1", + "15": "-1", + "27": "1", + "53": "-1" + }, + { + "16": "1", + "20": "-1", + "44": "-1", + "46": "1" + }, + { + "17": "1", + "29": "1", + "30": "1", + "56": "1", + "58": "1", + "67": "1", + "93": "1", + "95": "1" + }, + { + "101": "1", + "18": "1", + "32": "1", + "34": "1", + "49": "1", + "65": "1", + "68": "1", + "98": "1" + }, + { + "1": "-1", + "19": "1" + }, + { + "16": "1", + "2": "1", + "20": "1", + "21": "1", + "25": "-1", + "44": "-1", + "46": "-1", + "47": "-1", + "78": "1", + "79": "-1", + "94": "1", + "99": "-1" + }, + { + "15": "1", + "21": "-1", + "47": "-1", + "53": "-1" + }, + { + "22": "1", + "3": "-1" + }, + { + "100": "1", + "102": "1", + "23": "1", + "31": "1", + "33": "1", + "55": "1", + "59": "1", + "74": "1" + }, + { + "24": "1", + "26": "1", + "28": "1", + "48": "1", + "66": "1", + "75": "1", + "96": "1", + "97": "1" + }, + { + "2": "1", + 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"vertex": 5 + }, + { + "ordered_carriers_a_b_c": [ + 57, + 42, + 44, + 106, + 104, + 87 + ], + "signs": [ + 1, + 1, + 1, + 1, + 1, + 1 + ], + "vertex": 6 + }, + { + "ordered_carriers_a_b_c": [ + 46, + 105, + 62, + 52, + 110, + 90 + ], + "signs": [ + 1, + -1, + 1, + 1, + 1, + 1 + ], + "vertex": 7 + } + ] +} diff --git a/research/centre-code-services/annexes/pivot-code-invoice/replay.py b/research/centre-code-services/annexes/pivot-code-invoice/replay.py new file mode 100644 index 0000000000..d1c1babfa7 --- /dev/null +++ b/research/centre-code-services/annexes/pivot-code-invoice/replay.py @@ -0,0 +1,134 @@ +#!/usr/bin/env python3 +"""Replay the frozen pivot word, prior review, and invoice-domain check.""" + +import argparse +import gzip +from hashlib import sha256 +import json +import os +from pathlib import Path +import shutil +import subprocess +import sys +import tempfile +import time + + +HERE = Path(__file__).resolve().parent +OLD_ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +BASE = 'frozen/work/centre-encoding-campaign-20261014/lanes/' +PIVOT = BASE + 'new-core-transfer-20261017/low-displacement-20261020/pivot-codes/' +REVIEW = BASE + 'bridge-review-20261017/moving-code-review-20261020/' +JOBS = [ + ('pivot', PIVOT + 'emit_pivot_codes.py', True, + PIVOT + 'final-normal/', ['CHECKS.json', 'PIVOT-CODES.json']), + ('prior_review', REVIEW + 'check_moving_code.py', False, + REVIEW, ['CHECKS.json', 'MOVING-CODE-PROGRAM.json.gz']), + ('invoice_domain', 'check_invoice.py', True, '', ['CHECKS.json']), +] + + +def need(value, message): + if not value: + raise ValueError(message) + + +def digest(raw): + return sha256(raw).hexdigest() + + +def verify(): + manifest = json.loads((HERE / 'SOURCES.json').read_text()) + for item in manifest['files']: + raw = (HERE / item['package_path']).read_bytes() + need(len(raw) == item['bytes'] and digest(raw) == item['sha256'], + 'Frozen source mismatch: ' + item['package_path']) + if 'decompressed_sha256' in item: + need(digest(gzip.decompress(raw)) == item['decompressed_sha256'], + 'Frozen payload mismatch: ' + item['package_path']) + return manifest + + +def canonical_review(raw, root, sources): + data = json.loads(raw) + for entry in data['source_pins'].values(): + relative = str(Path(entry['path']).relative_to(root)) + need(relative in sources, 'Unregistered receipt source path') + source = sources[relative] + field = 'decompressed_sha256' if entry['decompressed'] else 'sha256' + need(entry['sha256'] == source[field], 'Receipt source hash mismatch') + entry['path'] = relative + return (json.dumps(data, indent=2, sort_keys=True) + '\n').encode() + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + output = args.out.resolve() + output.mkdir(parents=True, exist_ok=False) + need(shutil.disk_usage(output).free >= 3 * 1024 ** 3, 'Keep at least 3 GiB free') + manifest = verify() + sources = {item['source_path']: item for item in manifest['files']} + env = dict(os.environ) + env.update({name: '1' for name in ('OPENBLAS_NUM_THREADS', 'OMP_NUM_THREADS', + 'MKL_NUM_THREADS', 'VECLIB_MAXIMUM_THREADS')}) + runs = [] + for optimized in (False, True): + mode = 'optimized' if optimized else 'normal' + for label, script, has_out, expected_dir, names in JOBS: + saved = output / mode / label + saved.mkdir(parents=True) + with tempfile.TemporaryDirectory(prefix='pivot-invoice-', dir=output) as temporary: + package = Path(temporary) / 'package' + shutil.copytree(HERE, package) + executable = package / script + generated = Path(temporary) / 'generated' if has_out else executable.parent + command = [sys.executable, '-I', '-B'] + (['-O'] if optimized else []) + [str(executable)] + if has_out: + command += ['--out', str(generated)] + start = time.monotonic() + result = subprocess.run(command, cwd=package, env=env, text=True, + stdout=subprocess.PIPE, stderr=subprocess.STDOUT, check=False) + (saved / 'stdout.txt').write_text(result.stdout) + need(result.returncode == 0, label + ' failed: ' + str(saved / 'stdout.txt')) + comparisons = [] + for name in names: + actual = (generated / name).read_bytes() + frozen = (HERE / expected_dir / name).read_bytes() + (saved / name).write_bytes(actual) + if name.endswith('.gz'): + left, right = gzip.decompress(actual), gzip.decompress(frozen) + receipt = json.loads((generated / 'CHECKS.json').read_text()) + need(digest(left) == receipt['program_decompressed_sha256'], + 'Generated program hash does not match its receipt') + method = 'complete_decompressed_bytes' + elif label == 'prior_review': + left = canonical_review(actual, package / 'frozen', sources) + right = canonical_review(frozen, OLD_ROOT, sources) + (saved / 'CHECKS.canonical.json').write_bytes(left) + method = 'all_json_fields_after_registered_source_paths' + else: + left, right = actual, frozen + method = 'complete_bytes' + need(left == right, 'Frozen output mismatch: ' + label + '/' + name) + comparisons.append({'file': name, 'method': method, 'sha256': digest(left)}) + runs.append({'job': label, 'mode': mode, 'seconds': round(time.monotonic() - start, 3), + 'comparisons': comparisons}) + print('PASS ' + mode + ' ' + label, flush=True) + for label, *_ in JOBS: + pair = [row['comparisons'] for row in runs if row['job'] == label] + need(len(pair) == 2 and pair[0] == pair[1], 'Normal and optimized outputs differ') + verify() + receipt = {'status': 'PASS_PIVOT_CODE_INVOICE_ANNEX', 'source_files': len(sources), + 'source_manifest_sha256': digest((HERE / 'SOURCES.json').read_bytes()), + 'replay_sha256': digest(Path(__file__).read_bytes()), 'runs': runs, + 'normal_optimized_equal': True, 'frozen_sources_unchanged': True, + 'source_code_adaptations': 0, + 'scope': 'Existing common-entry pivot code and inverse invoice, local grid, valid-image divisions, and map order. No productive transport, raw decoder, complete native capture, or kappa improvement.'} + (output / 'REPLAY.json').write_text(json.dumps(receipt, indent=2) + '\n') + print(receipt['status']) + + +if __name__ == '__main__': + main() diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/BODY-REVIEW.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/BODY-REVIEW.json new file mode 100644 index 0000000000..45751f5a0d --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/BODY-REVIEW.json @@ -0,0 +1,40 @@ +{ + "body_template_sha256": "d5bbe164c8cbabe113d02c738d81ba761ec9053c808ffc57aee5e3bc8cf87938", + "fresh_remote_verification_by_this_reviewer": false, + "mathematical_claims_unchanged": true, + "only_body_change": "The retained common-grid credit uses @icekylinx.", + "pr_description_standard_sha256": "3d5053fc96c6f7efd9af8d04660ef0d4af6885b3988075479e3139774949ca20", + "previous_body_template_sha256": "a134055b465491c9f60b323bcbf2bde17bedf21bad2c274f99114dc59cf7bcb3", + "publication_pending": [ + "Replace COMMIT with the final immutable publication commit.", + "Verify source objects and contributor mention on GitHub.", + "Check rendered Markdown and published readback." + ], + "status": "PASS_BODY_CLAIMS_AND_LOCAL_TARGETS", + "targets": [ + { + "target_sha256": "88118364f7a8e97da76ab7198bf1edde582f1bdd5d62a1d0a881809bcb5f3191", + "template_url": "https://github.com/aliromman/integer-mult-bounds/blob/COMMIT/research/centre-code-services/annexes/pivot-code-invoice/PROOF.md" + }, + { + "target_sha256": "520d260e5580084876fb0b7ed38080ab3496a574f5ac8fdaa92c0a7adc757b95", + "template_url": "https://github.com/aliromman/integer-mult-bounds/blob/COMMIT/research/centre-code-services/annexes/pivot-code-invoice/SOURCES.json" + }, + { + "target_sha256": "7a5cb165934d0ae433e4341625e499320bcf3a59fc32018f19b6587a21524cb1", + "template_url": 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a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-REPLAY.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-REPLAY.json new file mode 100644 index 0000000000..b10a71b383 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-REPLAY.json @@ -0,0 +1,71 @@ +{ + "PATH": "/nonexistent", + "all_job_execution_directories_outside_repository": true, + "annex_manifest_sha256": "80f30df8006069e0e369bb9500529a23f019ccf5d116b02b93febf9885e81538", + "body_template_sha256": "d5bbe164c8cbabe113d02c738d81ba761ec9053c808ffc57aee5e3bc8cf87938", + "cold_replay_files": [ + "REPLAY.json", + "normal/invoice_domain/CHECKS.json", + "normal/invoice_domain/stdout.txt", + "normal/pivot/CHECKS.json", + "normal/pivot/PIVOT-CODES.json", + "normal/pivot/stdout.txt", + "normal/prior_review/CHECKS.canonical.json", + "normal/prior_review/CHECKS.json", + "normal/prior_review/MOVING-CODE-PROGRAM.json.gz", + "normal/prior_review/stdout.txt", + "optimized/invoice_domain/CHECKS.json", + "optimized/invoice_domain/stdout.txt", + "optimized/pivot/CHECKS.json", + "optimized/pivot/PIVOT-CODES.json", + "optimized/pivot/stdout.txt", + "optimized/prior_review/CHECKS.canonical.json", + "optimized/prior_review/CHECKS.json", + "optimized/prior_review/MOVING-CODE-PROGRAM.json.gz", + "optimized/prior_review/stdout.txt" + ], + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-B", + "/tmp/pivot-invoice-independent-20261022-383omsfc/annex/replay.py", + "--out", + "/tmp/pivot-invoice-independent-20261022-383omsfc/cold-replay" + ], + "copied_annex_path": "/tmp/pivot-invoice-independent-20261022-383omsfc/annex", + "evidence_copied_after_execution": true, + "file_count": 44, + "free_disk_bytes_after": 8367792128, + "free_disk_bytes_before": 8381308928, + "git_directory_absent": true, + "git_executable_available": false, + "independent_command": [ + 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"python_executable": "/opt/homebrew/opt/python@3.14/bin/python3.14", + "returncode": 0, + "seconds": 2.043, + "sequential_worker_count": 1, + "source_and_copy_manifest_checks_before_after": true, + "status": "PASS_COLD_PIVOT_INVOICE_REVIEW" +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-STDOUT.txt b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-STDOUT.txt new file mode 100644 index 0000000000..53f774c5d7 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/COLD-STDOUT.txt @@ -0,0 +1,7 @@ +PASS normal pivot +PASS normal prior_review +PASS normal invoice_domain +PASS optimized pivot +PASS optimized prior_review +PASS optimized invoice_domain +PASS_PIVOT_CODE_INVOICE_ANNEX diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/CORE-PRESERVATION.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/CORE-PRESERVATION.json new file mode 100644 index 0000000000..5d1c044857 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/CORE-PRESERVATION.json @@ -0,0 +1,8 @@ +{ + "package_files_unchanged": 277, + "package_manifest_sha256": "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da", + "prior_review_files_unchanged": 81, + "prior_review_manifest_sha256": "45176e61cf63d60c5b29861ce0d5ee415e9dff6fc04914ee8b7aac1f42fe5b55", + "scope": "The new annex and its review are separate from these accepted files.", + "status": "PASS_ACCEPTED_CORE_UNCHANGED" +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/DOCUMENT-LINKS.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/DOCUMENT-LINKS.json new file mode 100644 index 0000000000..3b7dbe9cec --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/DOCUMENT-LINKS.json @@ -0,0 +1,200 @@ +{ + "annex_wrapper_link_count": 23, + "link_count": 38, + "links": [ + { + "document": "packages/centre-code-services/annexes/pivot-code-invoice/README.md", + "resolved_file": "packages/centre-code-services/annexes/pivot-code-invoice/PROOF.md", + "target": "PROOF.md" + }, + { + "document": "packages/centre-code-services/annexes/pivot-code-invoice/README.md", + "resolved_file": "packages/centre-code-services/annexes/pivot-code-invoice/SOURCES.json", + "target": "SOURCES.json" + }, + { + "document": "packages/centre-code-services/annexes/pivot-code-invoice/README.md", + "resolved_file": "packages/centre-code-services/annexes/pivot-code-invoice/NOTICE.md", + "target": "NOTICE.md" + }, + { + "document": "packages/centre-code-services/annexes/pivot-code-invoice/README.md", + "resolved_file": "packages/centre-code-services/annexes/pivot-code-invoice/VALIDATION.md", + "target": 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{ + "dyadic_input_coefficients_divisible_by_three": false, + "event": 163, + "target": 20 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 175, + "target": 111 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 188, + "target": 53 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 200, + "target": 27 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 213, + "target": 0 + } + ], + "norm": "8", + "odd_three_height": 1 + }, + "pivot_payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "response_decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "scalar_inverse_orders": 2, + "scope": "Original local scalar invoice and prefix grid. Valid-image division does not admit generic root streams. No native query, productive transport, or raw output decoder.", + "status": "PASS_INDEPENDENT_PIVOT_INVOICE_GRID", + "untouched_roles_by_gate_bounds": 528, + "valid_image_inverse_prefix": { + "binary_height": 0, + "division_rows": [ + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 125, + "target": 46 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 138, + "target": 57 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 150, + "target": 7 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 163, + "target": 20 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 175, + "target": 111 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 188, + "target": 53 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 200, + "target": 27 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 213, + "target": 0 + } + ], + "norm": "12", + "odd_three_height": 0 + }, + "wrong_side_witness_target_input_coefficient_correct_wrong_label": [ + 0, + 2, + "1", + 35, + 11 + ] +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-SOURCE-CHECK.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-SOURCE-CHECK.json new file mode 100644 index 0000000000..736844bb09 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-SOURCE-CHECK.json @@ -0,0 +1,147 @@ +{ + "actual_pivots": 16, + "complement_fields": 96, + "data_fields": 112, + "forward_invoice": { + "census": { + "add -1": 115, + "add 1": 125, + "fixed_multiply 3": 8, + "scale -1": 12, + "scale -2": 11, + "scale 2": 21, + "scale 8": 8 + }, + "old_real_scalar_units": 2078, + "real_divide_three_scans": 0, + "real_multiply_three_scans": 16 + }, + "forward_prefix": { + "binary_height": 0, + "division_rows": [], + "norm": "12", + "odd_three_height": 0 + }, + "input_translation_maps": 112, + "inverse_invoice": { + "census": { + "add -1": 125, + "add 1": 115, + "fixed_divide 3": 8, + "scale -1": 12, + "scale -1/2": 11, + "scale 1/2": 21, + "scale 1/8": 8 + }, + "old_real_scalar_units": 2078, + "real_divide_three_scans": 16, + "real_multiply_three_scans": 0 + }, + "inverse_prefix": { + "binary_height": 3, + "division_rows": [ + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 125, + "target": 46 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 138, + "target": 57 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 150, + "target": 7 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 163, + "target": 20 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 175, + "target": 111 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 188, + "target": 53 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 200, + "target": 27 + }, + { + "dyadic_input_coefficients_divisible_by_three": false, + "event": 213, + "target": 0 + } + ], + "norm": "8", + "odd_three_height": 1 + }, + "pivot_payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "response_decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "scalar_inverse_orders": 2, + "scope": "Original local scalar invoice and prefix grid. Valid-image division does not admit generic root streams. No native query, productive transport, or raw output decoder.", + "status": "PASS_INDEPENDENT_PIVOT_INVOICE_GRID", + "untouched_roles_by_gate_bounds": 528, + "valid_image_inverse_prefix": { + "binary_height": 0, + "division_rows": [ + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 125, + "target": 46 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 138, + "target": 57 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 150, + "target": 7 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 163, + "target": 20 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 175, + "target": 111 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 188, + "target": 53 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 200, + "target": 27 + }, + { + "dyadic_input_coefficients_divisible_by_three": true, + "event": 213, + "target": 0 + } + ], + "norm": "12", + "odd_three_height": 0 + }, + "wrong_side_witness_target_input_coefficient_correct_wrong_label": [ + 0, + 2, + "1", + 35, + 11 + ] +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-STDOUT.txt b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-STDOUT.txt new file mode 100644 index 0000000000..a51a8e0673 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/INDEPENDENT-STDOUT.txt @@ -0,0 +1 @@ +PASS_INDEPENDENT_PIVOT_INVOICE_GRID diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/PROOF-READ.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/PROOF-READ.json new file mode 100644 index 0000000000..ed4d9213ea --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/PROOF-READ.json @@ -0,0 +1,33 @@ +{ + "additional_retained_proofs": { + "frozen/notes/stopped-product-complex.tex": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a", + "frozen/work/centre-encoding-campaign-20261014/lanes/independent-review-20261017/odd-grid-a8-20261017/A8-ODD-GRID.md": "e0210105ba6c6246f1f84c8ce2d92cfd07aa6cc8a161ca27d7fcc8e0183cfb01" + }, + "annex_files": { + "GRID-SOURCE-PINS.json": "3b1233b40b977b4e67afb6118685ba18892543685d30b58e9601598f45051f64", + "NOTICE.md": "bf63940bec55a7b91a241605291a42a75d97d3520eee814951466ef85fce641a", + "PROOF.md": "88118364f7a8e97da76ab7198bf1edde582f1bdd5d62a1d0a881809bcb5f3191", + "README.md": "89fb49379fc1bb2f76f0bfef808069cb9e797e65ee5a72c5b9551cbbc7f27b7b", + "VALIDATION.md": "45bb03b3ff8445104eee057b7a8ce52d6e5b730cc999d0542502ade665eeea5d", + "check_invoice.py": "a7e511883e8b243cbe90ea5b919b64775b9351f30c5d90db4a3f10382264131b", + "replay.py": "a7132f387a2661bd64394549bfe5f9c1c8106257ac2183db2fbc0c98ad72f4fb" + }, + "limits": [ + "The original 2078-unit invoice excludes sixteen real odd scans and all 112 entry translation costs.", + "The inverse grid bounds are local opcode-prefix bounds, not recursive or physical phase admission.", + "Valid-image division and generic inverse root-grid admission are different contracts.", + "The formal q C q output code does not supply a raw output decoder or productive transport." + ], + "pr_description_standard_sha256": "3d5053fc96c6f7efd9af8d04660ef0d4af6885b3988075479e3139774949ca20", + "source_files": { + "lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md": "4e79fdc576e102883ce6400aa3e45156eefe0b399063a34c06901dce36be3332", + "lanes/bridge-review-20261017/moving-code-review-20261020/check_moving_code.py": "bf8c7a1925651656dc0c442c771a8d9175d852eebb6d38f9b144d08c53a68e4a", + "lanes/native-escape-20261017/rational-code-admission-20261020/CENTRE-CONSTANTS.md": "d231301931e0877825b9ff3b4005dff865268d6e0557e8f8e05766375543e86a", + "lanes/native-escape-20261017/rational-code-admission-20261020/CLIQUE-CODE-GRID.md": "c06fab014b9dee89b45b1c18c7e3c8a3140a04416f3c63fe52a3f39ac0159639", + "lanes/new-core-transfer-20261017/low-displacement-20261020/check_response.py": "c6d92104e4345816e86163f6c1dea24fbd9b6e9b133ffd2e0c646dca17ca00a8", + "lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md": "83bd71d85136b0d1045897aeecddfe8c064bbd00fb989b58acb8eab25f1e868d", + "lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/emit_pivot_codes.py": "af2f2ab1c5daba0bcd1a8878f2b81b2834e10a4f8ca1a2ef66779d52b30e64b4", + "lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/final-normal/CHECKS.json": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546" + }, + "status": "PASS_SOURCE_PROOF_SCOPE_REVIEW" +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REPLAY-COMPARISON.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REPLAY-COMPARISON.json new file mode 100644 index 0000000000..8e5f247467 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REPLAY-COMPARISON.json @@ -0,0 +1,80 @@ +{ + "comparison_count": 10, + "comparisons": [ + { + "file": "CHECKS.json", + "job": "pivot", + "method": "complete_bytes", + "mode": "normal", + "sha256": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546" + }, + { + "file": "PIVOT-CODES.json", + "job": "pivot", + "method": "complete_bytes", + "mode": "normal", + "sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670" + }, + { + "file": "CHECKS.json", + "job": "invoice_domain", + "method": "complete_bytes", + "mode": "normal", + "sha256": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d" + }, + { + "file": "CHECKS.json", + "job": "prior_review", + "method": "all_json_fields_after_registered_source_paths", + "mode": "normal", + "sha256": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199" + }, + { + "file": "MOVING-CODE-PROGRAM.json.gz", + "job": "prior_review", + "method": "complete_decompressed_bytes", + "mode": "normal", + "sha256": "99202fd0d24a4b57d5db94a85a43b15c45c52104cfae29d468c2c1163ebfb344" + }, + { + "file": "CHECKS.json", + "job": "pivot", + "method": "complete_bytes", + "mode": "optimized", + "sha256": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546" + }, + { + "file": "PIVOT-CODES.json", + "job": "pivot", + "method": "complete_bytes", + "mode": "optimized", + "sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670" + }, + { + "file": "CHECKS.json", + "job": "invoice_domain", + "method": "complete_bytes", + "mode": "optimized", + "sha256": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d" + }, + { + "file": "CHECKS.json", + "job": "prior_review", + "method": "all_json_fields_after_registered_source_paths", + "mode": "optimized", + "sha256": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199" + }, + { + "file": "MOVING-CODE-PROGRAM.json.gz", + "job": "prior_review", + "method": "complete_decompressed_bytes", + "mode": "optimized", + "sha256": "99202fd0d24a4b57d5db94a85a43b15c45c52104cfae29d468c2c1163ebfb344" + } + ], + "dropped_fields": [], + "macos_temporary_directory_alias_resolved_for_path_check": true, + "normal_optimized_equal": true, + "source_path_normalization_only": true, + "status": "PASS_ALL_COMPLETE_OUTPUT_COMPARISONS" +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.json new file mode 100644 index 0000000000..a6d6cc0b1b --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.json @@ -0,0 +1,79 @@ +{ + "accepted_scope": [ + "Existing 112-field code with sixteen pivots and 96 complement fields.", + "Exact 2078 old scalar units and sixteen separate real fixed-three scans per direction.", + "Local forward/inverse stored-prefix norms 12/8 and inverse binary/odd heights 3/1.", + "Valid-image exact division is separate from generic inverse common-grid admission.", + "Ordered C L entry, paid 112 translation maps per direction, and formal q C q transport identity." + ], + "all_final_job_execution_directories_outside_repository": true, + "annex_file_count": 44, + "annex_manifest_sha256": "80f30df8006069e0e369bb9500529a23f019ccf5d116b02b93febf9885e81538", + "body_template_sha256": "d5bbe164c8cbabe113d02c738d81ba761ec9053c808ffc57aee5e3bc8cf87938", + "cold_replay_contains_source_worktrees": false, + "cold_replay_jobs": 6, + "cold_replay_seconds": 2.043, + "cold_replay_status": "PASS_PIVOT_CODE_INVOICE_ANNEX", + "core_files_unchanged": 277, + "core_manifest_sha256": "2432e5e8dd448a4f22b23bcc8844433870dab2742bd7436c2522fffe2bbe63da", + "excluded_claims": [ + "Native phase admission or compilation.", + "New signed scan bit-loop validation.", + "Productive centre advance or raw output decoder.", + "Complete helper hosting, recursive precision, supplier invoice, or kappa improvement.", + "Automatic transfer to the selected construction." + ], + "files": { + "BODY-REVIEW.json": "97e7d62afdb37dc773a2e53de729437e394c24393a0a589e2f90b2726a7ac472", + "COLD-REPLAY.json": "1eff0daeadffae0f3274209deafb429445b5ecb8003f1901ad5e42f245cbc8dd", + "COLD-STDOUT.txt": "c40d3c9e6303a14728463087484c4fefe7dc9725c5d8ebff874bdec43ccbae1f", + "CORE-PRESERVATION.json": "60647df87f81ca13e94cf541e7d7f6c559bbfc1b51b6584401946ae9504d2288", + "DOCUMENT-LINKS.json": "ea75f98d6b495e85a158937733e7f373157451948c96e3e68aa75af87a6312a5", + "INDEPENDENT-COLD-CHECK.json": "8a9c39014c1589eea0578bdbc1900c13cf779e81099533be60b01a641f8cf4bb", + "INDEPENDENT-SOURCE-CHECK.json": "8a9c39014c1589eea0578bdbc1900c13cf779e81099533be60b01a641f8cf4bb", + "INDEPENDENT-STDOUT.txt": "8eb0528f91b2638c3309864a49f5a2dfd320ffab59169fb8833ae7c926b81282", + "PROOF-READ.json": "58363ce98e863b05f5c1fd6d49722cb3a3c25c0a6899982e8ebed6fee6c3b9ee", + "REPLAY-COMPARISON.json": "c5e7e57c4f647ce7309c629acb4605b771bf618401845dc8b36205d5f3913d4d", + "REVIEW.md": "2d8d7fa4492fcfc86cad88ae3c17162c208446c3d175a07d5797b1fd6834af00", + "REVIEWED-ANNEX-MANIFEST.json": "80f30df8006069e0e369bb9500529a23f019ccf5d116b02b93febf9885e81538", + "SOURCE-ORIGINS.json": "c3c3617bd91e3a30093cd165295545a62e0b135e7143a9feb9b4cb5798dc5648", + "cold-replay/REPLAY.json": "15123cf91b54637c198306ed61d59761b5e3ffda265e60933d7cfa699fc6a03d", + "cold-replay/normal/invoice_domain/CHECKS.json": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d", + "cold-replay/normal/invoice_domain/stdout.txt": "3a32df9aee277e4df1082f59f06ef79c462d999a046b1a5569bdf3bcf4c2e7ce", + "cold-replay/normal/pivot/CHECKS.json": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546", + "cold-replay/normal/pivot/PIVOT-CODES.json": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "cold-replay/normal/pivot/stdout.txt": "55aa410d3110d7a9fa15a148fc14f1726cfe62d9487204b04a820c9b022ec7c5", + "cold-replay/normal/prior_review/CHECKS.canonical.json": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199", + "cold-replay/normal/prior_review/CHECKS.json": "89d6e4b2e4a7ac313c847ff354696905bc922fc87b03af7443cc577195b80d86", + "cold-replay/normal/prior_review/MOVING-CODE-PROGRAM.json.gz": "b026dabd176947881714b1204653220049bda49c3706e6bc34af9ac8dd80ba4c", + "cold-replay/normal/prior_review/stdout.txt": "ccd265cc61dee21ca0d2fdbac2ea9cbcc5155dc3e4491d6e4e19f2d42ca7345d", + "cold-replay/optimized/invoice_domain/CHECKS.json": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d", + "cold-replay/optimized/invoice_domain/stdout.txt": "3a32df9aee277e4df1082f59f06ef79c462d999a046b1a5569bdf3bcf4c2e7ce", + "cold-replay/optimized/pivot/CHECKS.json": "e9d634f88441589b7445793a022d12c21a849ab1ecb9b0628d72e8774575f546", + "cold-replay/optimized/pivot/PIVOT-CODES.json": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "cold-replay/optimized/pivot/stdout.txt": "55aa410d3110d7a9fa15a148fc14f1726cfe62d9487204b04a820c9b022ec7c5", + "cold-replay/optimized/prior_review/CHECKS.canonical.json": "f62cda3128fc36d698ae55f96ca7ff804b79761f4aeb098fd26158214e655199", + "cold-replay/optimized/prior_review/CHECKS.json": "796f2fe027e23636a0be4b618e068d826b61b4ac1d79d7560b94af5838c265e5", + "cold-replay/optimized/prior_review/MOVING-CODE-PROGRAM.json.gz": "b026dabd176947881714b1204653220049bda49c3706e6bc34af9ac8dd80ba4c", + "cold-replay/optimized/prior_review/stdout.txt": "ccd265cc61dee21ca0d2fdbac2ea9cbcc5155dc3e4491d6e4e19f2d42ca7345d", + "independent_check.py": "8eece79a7e1ba5426dbab468e3b187c810a1405812617b5998cb24cb4bc3fffc" + }, + "findings": [], + "free_disk_bytes_after": 8363466752, + "frozen_input_count": 30, + "git_unavailable_on_PATH": true, + "independent_check_seconds": 0.173, + "independent_check_status": "PASS_INDEPENDENT_PIVOT_INVOICE_GRID", + "independent_original_cold_receipts_byte_equal": true, + "inode_disjoint": true, + "nested_evidence_files": 19, + "prior_review_files_unchanged": 81, + "publication_pending": "The coordinator owns final immutable links, contributor identity checks, rendered Markdown, and remote readback.", + "report": "REVIEW.md", + "report_sha256": "2d8d7fa4492fcfc86cad88ae3c17162c208446c3d175a07d5797b1fd6834af00", + "review_file_count_including_this_file": 34, + "schema": "pivot-code-invoice-independent-review-v1", + "source_adaptations": 0, + "status": "ACCEPTED", + "workers": 1 +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.md b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.md new file mode 100644 index 0000000000..20338a0614 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEW.md @@ -0,0 +1,117 @@ +# Independent review of the original pivot-code invoice + +Accepted for the local claims below. No mathematical or scope defect was +found in the frozen [proof](../../../centre-code-services/annexes/pivot-code-invoice/PROOF.md), +[validation statement](../../../centre-code-services/annexes/pivot-code-invoice/VALIDATION.md), +or publication body template. The reviewed [annex manifest](../../../centre-code-services/annexes/pivot-code-invoice/ANNEX-MANIFEST.json) +has SHA256 `80f30df8006069e0e369bb9500529a23f019ccf5d116b02b93febf9885e81538`. +It covers 43 files; the manifest is the 44th file. This acceptance does +not assert a complete caller, native admission, or a kappa improvement. + +The source proof and the literal word establish a code on 112 existing +data fields. Sixteen fields hold centre sums; the other 96 hold independent +complement data. No zero input or additional field is needed. In the actual +signed pair coordinates, the response is a sum of eight six-mode blocks +and eight eight-mode blocks. The exact identity `C E C inverse=D` has +diagonal values -5 on eight pivots, -7 on eight pivots, and 1 elsewhere. +This is a coordinate change for the response, not its inverse. + +The block proof is direct. After subtracting the old pivot from each +other entry, scaling the pivot by the block size, and adding the other +entries to it, the pivot holds the original sum. The differences retain +all remaining data. The reverse word recovers the old pivot from the sum +minus the differences. The [original proof](../../../centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/new-core-transfer-20261017/low-displacement-20261020/pivot-codes/PIVOT-CODES.md) +and [prior independent review](../../../centre-code-services/annexes/pivot-code-invoice/frozen/work/centre-encoding-campaign-20261014/lanes/bridge-review-20261017/moving-code-review-20261020/REVIEW.md) +were read with their implementations and exact input payloads. The prior +review checks the pivot algebra. It does not independently establish the +precise 2078-unit invoice or the prefix grid bounds. + +## Invoice, grid, and phase scope + +The separate [review checker](independent_check.py) imports no producer +module. It uses an explicit tariff table and exact rational rows. Its +[cold receipt](INDEPENDENT-COLD-CHECK.json) confirms these claims: + +- Each direction costs `470+664+944=2078` old real scalar units. Forward + execution also has sixteen real multiplication-by-three scans. Inverse + execution has sixteen real division-by-three scans. +- The maximum row one-norm at stored opcode boundaries is 12 forward and + 8 inverse. The inverse adds at most three binary fractional bits and one + odd-three level. All eight odd divisions act in disjoint mode blocks. +- Both scalar inverse orders hold on all 112 input columns. Gate indices + stay within those fields, so the other 528 roles are unchanged. The + actual response satisfies `C E=D C` with the stated sixteen pivots. +- The entry word applies all 112 actual translations before C. A concrete + coefficient at target 0, input 2 has the correct input translation + label 35; the wrong-side order gives label 11. The opposite order + therefore cannot replace `C L`. + +Valid-image division and generic inverse access have different premises. +On the actual forward image, each six-mode inverse reaches +`s-sum(t_i)=6*old y_p` before its division by three. The independent check +tests all eight events on every original column and finds no new odd +denominator. On generic code coordinates, the same divisions need not +be exact on the dyadic grid. The annex's separate no-import check verifies +the actual full inverse entry `1/12` at row 0, column 0. A middle operation +must preserve the code image before the valid-image contract can be used. + +The retained common-grid and signed-scan proofs were read. They require a +bound for the full finite parent word, dyadic endpoints for completed +children, common scaling of every numeric root stream including borrowed +values, and an exact outer unscaling endpoint. Addresses and descriptors +are not scaled. Arbitrary integer numerators on the finest grid are not +valid root inputs. The local odd-height-one bound does not prove those +global premises. For n records per field, sixteen real fixed-three scans +have the inherited arithmetic-head bound `64*n*(w_g+1)`, with stream +control and root conversions separate. The scan bit loops were not rerun. + +The literal entry is `C L`, and its inverse is `L C inverse`; each direction +has 112 explicit translations whose full prices remain separate. For +`q=Q inverse`, the formal type `q C q` gives +`(q C q)(Q E q)(Q C inverse Q)=q D Q=D` by adjacent cancellation. +No phase is moved through C or E. This identity supplies neither a +productive centre advance nor an implementation at a retired native cut. +Actual cross-bank phases, source views, helper progress, raw output +decode, complete map costs, and recursive precision remain open. + +## Fresh validation and preservation + +A fresh copy outside the repository contained no Git directory and shared +no file inode with the submitted annex. The absolute Python interpreter +ran with `-I -B`, `PATH=/nonexistent`, and one worker. The runner executed +the unchanged emitter, unchanged prior review, and invoice/domain check, +each in normal and optimized Python. All six jobs passed in 2.043 seconds. +The final output was `PASS_PIVOT_CODE_INVOICE_ANNEX`. The independent +checker then passed in 0.173 seconds with `-I -O -B`; its entire receipt +equals the original-source receipt. See [environment and commands](COLD-REPLAY.json) +and [all six replay results](cold-replay/REPLAY.json). + +The [output comparison](REPLAY-COMPARISON.json) checks complete outputs. +The producer and invoice/domain receipts match their frozen bytes. The +prior review receipt matches every JSON field after only registered +source-path conversion, with each path's source hash checked first. Its +complete program matches after decompression. Normal and optimized +outputs agree under the same rules. Raw absolute-path receipts are not +claimed to be byte-equal. + +All thirty [source inputs](SOURCE-ORIGINS.json) match the original source +files. The submitted and copied annexes match the manifest before and +after execution. The [preservation check](CORE-PRESERVATION.json) confirms +that all 277 accepted core files and all 81 prior review files remain +unchanged. The new review contains receipts, logs, and its own checker; +its `cold-replay` directory contains only generated evidence, with no +source worktree. More than 3 GiB of disk space remained available. + +The [notice](../../../centre-code-services/annexes/pivot-code-invoice/NOTICE.md) +retains the source roles, licenses, native lineage, and common-grid credit. +This review used OpenAI Codex assistance. It is not a claim of independent +human review. Native phase compilation, bit-level scan execution, a full +root conversion, a productive caller, raw decode, helper hosting, the +recursive grid invoice, and the selected frontier were not rerun. + +The [body review](BODY-REVIEW.json) binds template SHA256 +`d5bbe164c8cbabe113d02c738d81ba761ec9053c808ffc57aee5e3bc8cf87938`. +Its claims agree with this review. The coordinator must replace `COMMIT`, +verify the resulting immutable links, and check GitHub rendering and +readback before publication. No Git or publication action was performed +in this review. [REVIEW.json](REVIEW.json) binds this report and its evidence. diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEWED-ANNEX-MANIFEST.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEWED-ANNEX-MANIFEST.json new file mode 100644 index 0000000000..409c9b9c7e --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/REVIEWED-ANNEX-MANIFEST.json @@ -0,0 +1,182 @@ +{ + "schema": "pivot-code-invoice-annex-hashes-v1", + "annex": "pivot-code-invoice", + "scope": "Original 2078-unit common-entry code, sixteen fixed-three scans, valid-image and generic-grid boundary; no productive transport, raw decoder, or kappa improvement.", + "frozen_input_files": 30, + "total_files_excluding_manifest": 43, + "total_bytes_excluding_manifest": 1620058, + "files": { + "CHECKS.json": { + "bytes": 1628, + "sha256": "bd667fb47fb8c91a7f963e6de1ea8bd5de012a3b2f9d718a5b7695c6e60b521d" + }, + 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No productive transport, raw decoder, complete native capture, or kappa improvement." +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/CHECKS.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/CHECKS.json new file mode 100644 index 0000000000..deb5919820 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/CHECKS.json @@ -0,0 +1,64 @@ +{ + "all_112_data_columns_restored": true, + "checker_sha256": "a7e511883e8b243cbe90ea5b919b64775b9351f30c5d90db4a3f10382264131b", + "forward_invoice": { + "old_real_scalar_units": 2078, + "real_divide3_scans": 0, + "real_multiply3_scans": 16 + }, + "generic_inverse_non_dyadic_witness": [ + 0, + 0, + "1/12" + ], + "inverse_invoice": { + "old_real_scalar_units": 2078, + "real_divide3_scans": 16, + "real_multiply3_scans": 0 + }, + "payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "scope": "Exact existing literal word and inverse domain; no claim that an arbitrary middle operation preserves the code image.", + "status": "PASS_PIVOT_CODE_INVOICE_DOMAIN", + "valid_image_divisions": [ + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 46, + "opcode": 125 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 57, + "opcode": 138 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 7, + "opcode": 150 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 20, + "opcode": 163 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 111, + "opcode": 175 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 53, + "opcode": 188 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 27, + "opcode": 200 + }, + { + "all_dyadic_coefficients_divisible_by_three": true, + "field": 0, + "opcode": 213 + } + ] +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/stdout.txt b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/stdout.txt new file mode 100644 index 0000000000..a82d9aaccb --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/invoice_domain/stdout.txt @@ -0,0 +1 @@ +PASS_PIVOT_CODE_INVOICE_DOMAIN diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/CHECKS.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/CHECKS.json new file mode 100644 index 0000000000..f215e2a19b --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/CHECKS.json @@ -0,0 +1,52 @@ +{ + "arbitrary_input_columns": 640, + "both_scalar_inverse_orders": true, + "both_spatial_inverse_orders": true, + "checker_sha256": "af2f2ab1c5daba0bcd1a8878f2b81b2834e10a4f8ca1a2ef66779d52b30e64b4", + "code_invoice": { + "explicit_translation_maps": 0, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 0, + "real_fixed_three_multiplication_scans": 16 + }, + "code_prefix": { + "additional_binary_height": 0, + "additional_odd_three_height": 0, + "maximum_prefix_row_one_norm": "12" + }, + "entry_prefix": { + "additional_binary_height": 0, + "additional_odd_three_height": 0, + "maximum_prefix_row_one_norm": "12" + }, + "entry_square_invoice": { + "explicit_translation_maps": 112, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 0, + "real_fixed_three_multiplication_scans": 16 + }, + "inverse_invoice": { + "explicit_translation_maps": 0, + "native_children": 0, + "old_real_scalar_units": 2078, + "owned_fields": 0, + "real_fixed_three_division_scans": 16, + "real_fixed_three_multiplication_scans": 0 + }, + "inverse_prefix": { + "additional_binary_height": 3, + "additional_odd_three_height": 1, + "maximum_prefix_row_one_norm": "8" + }, + "new_fields": 0, + "payload_sha256": "49044ce1a2ef7a591084ba344e6d13d16e3e47ea56fd977c8c2218aed6b3a670", + "source_decompressed_sha256": "d466cea24be92fb7f749d686c5efc63f44ea82575c15f78c38e9d6d4c972eba4", + "status": "PASS_RANK16_EXISTING_PORT_PIVOT_CODE", + "transport_scope": "The common-entry code is literal. The formal transported code q C q diagonalizes Q E q because its sixteen centre multipliers are scalar. No raw-output decoder or stage transition is supplied.", + "unchanged_other_fields": 528, + "wrong_side_square_rejected": true +} diff --git a/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/PIVOT-CODES.json b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/PIVOT-CODES.json new file mode 100644 index 0000000000..1903d28176 --- /dev/null +++ b/research/publication-reviews/centre-code-services/pivot-code-invoice-review/cold-replay/normal/pivot/PIVOT-CODES.json @@ -0,0 +1,11255 @@ +{ + "code": [ + { + "0": "1", + "2": "1", + "25": "1", + "27": "1", + "70": "1", + "71": "1", + "72": "1", + "76": "1", + "87": "1", + "89": "1", + "90": "1", + "91": "1" + }, + { + "1": "1", + "19": "1", + "5": "1", + "54": "1", + "64": "1", + "73": "1", + "82": "1", + "83": "1" + }, + { + "0": "-1", + "2": "1", + "25": "1", + "27": "-1" + }, + { + "22": "1", + "3": "1", + "4": "1", + "50": "1", + "60": 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