From 26dfa7408665a4d6f5b765bd08f3a2d42b2dd73b Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 08:42:28 +0000 Subject: [PATCH 1/6] Audit PR6551 retirement cut and complete Gaussian invoice delta --- .../pr6551-retirement-audit/ACCOUNTING.md | 83 + .../pr6551-retirement-audit/FINAL-REVIEW.md | 55 + research/pr6551-retirement-audit/LICENSE | 201 + research/pr6551-retirement-audit/NOTICE | 6 + research/pr6551-retirement-audit/OVERLAP.json | 106 + research/pr6551-retirement-audit/README.md | 62 + research/pr6551-retirement-audit/RESULT.json | 342 ++ .../pr6551-retirement-audit/RETAINED.json | 168 + research/pr6551-retirement-audit/REVIEW.md | 68 + research/pr6551-retirement-audit/SOURCES.json | 18 + research/pr6551-retirement-audit/TASK.json | 103 + .../pr6551-retirement-audit/VALIDATION.md | 26 + research/pr6551-retirement-audit/VERIFY.json | 30 + .../pr6551-retirement-audit/accounting.py | 265 + research/pr6551-retirement-audit/caller.py | 213 + .../cut_four_fibers.py | 157 + .../evidence/accounting-normal-run.json | 16 + .../evidence/accounting-optimized-run.json | 17 + .../evidence/external-corruptions.json | 44 + .../evidence/final-nested-source-check.json | 18 + .../evidence/final-source-check.json | 162 + .../evidence/local-runs.json | 34 + .../evidence/review-input-hashes.json | 12 + .../evidence/review-runs.json | 31 + .../source/pr6398/NOTICE | 287 ++ .../source/pr6398/ROOT.json | 1319 +++++ .../source/pr6398/algebra.py | 74 + .../source/pr6398/controller.py | 223 + .../source/pr6545/CONTROLLER.json | 4405 ++++++++++++++++ .../source/pr6545/NOTICE | 25 + .../source/pr6545/PROOF.md | 130 + .../source/pr6545/RESULT.json | 316 ++ .../source/pr6545/RETAINED.json | 211 + .../source/pr6545/WITNESS.json | 104 + .../source/pr6551/ADAPTERS.json | 76 + .../source/pr6551/CONTROLLER.json | 4414 +++++++++++++++++ .../source/pr6551/NOTICE | 26 + .../source/pr6551/PROOF.md | 147 + .../source/pr6551/RESULT.json | 356 ++ .../source/pr6551/RETAINED.json | 122 + .../source/pr6551/ROOT.json | 1319 +++++ .../source/pr6551/WITNESS.json | 104 + .../source/pr6551/source.tar | Bin 0 -> 5836800 bytes .../source/pr6551/verify.py | 201 + research/pr6551-retirement-audit/verify.py | 75 + 45 files changed, 16171 insertions(+) create mode 100644 research/pr6551-retirement-audit/ACCOUNTING.md create mode 100644 research/pr6551-retirement-audit/FINAL-REVIEW.md create mode 100644 research/pr6551-retirement-audit/LICENSE create mode 100644 research/pr6551-retirement-audit/NOTICE create mode 100644 research/pr6551-retirement-audit/OVERLAP.json create mode 100644 research/pr6551-retirement-audit/README.md create mode 100644 research/pr6551-retirement-audit/RESULT.json create mode 100644 research/pr6551-retirement-audit/RETAINED.json create mode 100644 research/pr6551-retirement-audit/REVIEW.md create mode 100644 research/pr6551-retirement-audit/SOURCES.json create mode 100644 research/pr6551-retirement-audit/TASK.json create mode 100644 research/pr6551-retirement-audit/VALIDATION.md create mode 100644 research/pr6551-retirement-audit/VERIFY.json create mode 100644 research/pr6551-retirement-audit/accounting.py create mode 100644 research/pr6551-retirement-audit/caller.py create mode 100644 research/pr6551-retirement-audit/cut_four_fibers.py create mode 100644 research/pr6551-retirement-audit/evidence/accounting-normal-run.json create mode 100644 research/pr6551-retirement-audit/evidence/accounting-optimized-run.json create mode 100644 research/pr6551-retirement-audit/evidence/external-corruptions.json create mode 100644 research/pr6551-retirement-audit/evidence/final-nested-source-check.json create mode 100644 research/pr6551-retirement-audit/evidence/final-source-check.json create mode 100644 research/pr6551-retirement-audit/evidence/local-runs.json create mode 100644 research/pr6551-retirement-audit/evidence/review-input-hashes.json create mode 100644 research/pr6551-retirement-audit/evidence/review-runs.json create mode 100644 research/pr6551-retirement-audit/source/pr6398/NOTICE create mode 100644 research/pr6551-retirement-audit/source/pr6398/ROOT.json create mode 100644 research/pr6551-retirement-audit/source/pr6398/algebra.py create mode 100644 research/pr6551-retirement-audit/source/pr6398/controller.py create mode 100644 research/pr6551-retirement-audit/source/pr6545/CONTROLLER.json create mode 100644 research/pr6551-retirement-audit/source/pr6545/NOTICE create mode 100644 research/pr6551-retirement-audit/source/pr6545/PROOF.md create mode 100644 research/pr6551-retirement-audit/source/pr6545/RESULT.json create mode 100644 research/pr6551-retirement-audit/source/pr6545/RETAINED.json create mode 100644 research/pr6551-retirement-audit/source/pr6545/WITNESS.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/ADAPTERS.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/CONTROLLER.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/NOTICE create mode 100644 research/pr6551-retirement-audit/source/pr6551/PROOF.md create mode 100644 research/pr6551-retirement-audit/source/pr6551/RESULT.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/RETAINED.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/ROOT.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/WITNESS.json create mode 100644 research/pr6551-retirement-audit/source/pr6551/source.tar create mode 100644 research/pr6551-retirement-audit/source/pr6551/verify.py create mode 100644 research/pr6551-retirement-audit/verify.py diff --git a/research/pr6551-retirement-audit/ACCOUNTING.md b/research/pr6551-retirement-audit/ACCOUNTING.md new file mode 100644 index 0000000000..db2ef7ec05 --- /dev/null +++ b/research/pr6551-retirement-audit/ACCOUNTING.md @@ -0,0 +1,83 @@ +# Independent accounting of the retirement tree rebalance + +At candidate PR6551 head `11ca568cd1a16776ade02b4df09ea04a784cc674`, relative to predecessor PR6545 head `775722aa94a5e85b05d1d704d7dca10cbf016f0c`, direct counts of the literal callers give + +``` +ΔT = −104 H16 + 104 H40 + 208 H41 − 208 H57, +ΔP = −104 H16 + 312 H40 − 208 H56, +Δ(T−P) = 208[(H41−H40) − (H57−H56)]. +``` + +The caller counts agree with the predecessor's claimed change. The checker does not import or execute either author's invoice, pricing, constructor, native or caller code, and does not read their RESULT.json files. The first direct event/endpoint count was derived before reading the candidate proof's complete signed invoice. The written physical semantics and literal data are shared inputs; this is independent accounting implementation, not independent derivation of the native tariff. + +## Two representations and the exact count + +For one port, a declared endpoint `q^a ∏ D_s` has positive Gaussian rank `|a|+8·#{s}` in this caller. There are no stage-zero targets. The central exponent −1 is normalized by an ordinary q² translation; zero means no central axis. Each binary whole IDLE pays for two jobs of rank eight times its stage-set cardinality, IDLE_ONE pays one, and QUERY pays one rank-one job. Each LOCAL expands into the shared native subprogram. + +The checker first traverses every literal child tree, assigning the eighteen fresh stages to leaves. It obtains internal-node sizes `{2:8,3:2,4:2,7:2}` before and `{2:8,3:2,4:2,5:1,7:1}` after. The entire root outside `children` and `child_sizes` is identical. The first two children retain sizes seven and two; C,D change from two,seven to five,four. The masks AB and CD still contain nine stages. + +The root-mask count, the two productive outputs of every internal node, and the independent retirement split give an expected histogram. It must equal a separate count of all 35 serialized endpoint rows. The checker also verifies the actual retired field 4 and fresh suffix field 34, so exchanging their targets cannot hide behind an unchanged histogram. + +Separately, all literal events are classified. The fourteen binary IDLE stage sets must equal the actual tree-node stage sets, including multiplicity. The two IDLE_ONE stage sets must equal children B and C. All seventeen binary/root thin queries and all eighteen ordered LOCAL stage calls must be present. Unrecognized event kinds fail. Q_POWER exponents must be ±2, the inherited ordinary translation case. + +Per port, excluding the identical native contribution: + +| Rank | Old productive | New productive | Old paid | New paid | +|---|---:|---:|---:|---:| +| 1 | 2 | 2 | 17 | 17 | +| 16 | 1 | 0 | 18 | 17 | +| 17 | 17 | 17 | 0 | 0 | +| 24 | 0 | 0 | 4 | 4 | +| 25 | 4 | 4 | 0 | 0 | +| 32 | 0 | 0 | 4 | 4 | +| 33 | 4 | 4 | 0 | 0 | +| 40 | 0 | 1 | 0 | 3 | +| 41 | 0 | 2 | 0 | 0 | +| 56 | 0 | 0 | 4 | 2 | +| 57 | 4 | 2 | 0 | 0 | +| 73 | 2 | 2 | 0 | 0 | +| 145 | 1 | 1 | 0 | 0 | + +The rank-40 paid coefficient three consists of two binary-node idles and the third child's additional root idle. Dropping that last job would produce a false improvement. + +The exact retained native archive contains 104 distinct ports, 770 public fields (562 productive helpers plus 208 main fields), and 3,456 MOVE events. The candidate source archive contains a native archive whose SHA256 matches the independently obtained exact PR6545 native archive, plus byte-identical copies of the predecessor caller and retirement witness; its external WITNESS.json is also identical. There are eighteen native invocations in both callers. Thus the common native paid and helper terms cancel. On the retained structural contract, both complete invoices have 13,756 productive fields and 67,096 paid jobs. Both target and paid rank mass change by −832; their difference is unchanged. Two extra Q_POWER translations are explicitly reported as ordinary events, rather than silently dropped from the event inventory. + +## Strict gain for every 0f'(56+s)`. Integrating gives `41^t−40^t > 57^t−56^t`. Multiplication by 208 proves strict positive Δ(T−P). The difference is zero at t=0 and t=1; neither endpoint is claimed strictly positive. This proof establishes a complete recursive Gaussian invoice improvement in the retained model, not the new numerical κ or physical supplier admission. + +## Evidence and controls + +`accounting.py` is standard-library Python and has seven input-sensitive rejection controls: + +- Delete the third child's extra whole idle. +- Give the fresh suffix an unearned central Gaussian factor. +- Delete a fresh stage from that suffix target. +- Delete one rank-one query. +- Delete one native invocation, invalidating cancellation. +- Replace an ordinary Q² translation with a paid odd Gaussian exponent. +- Exchange the retired/fresh field targets, preserving their histogram but violating their interface. + +Both actual sources are positive fixtures. Normal and optimized Python 3.12.14 executions passed with byte-identical JSON. Measured subprocess times were approximately 0.08 s and 0.21 s; maximum child RSS was below 35 MiB. Exact commands, status and timings are in `evidence/accounting-normal-run.json` and `evidence/accounting-optimized-run.json`; the deterministic scientific result is `RESULT.json` (the accounting subsection in this integrated package). + +From a checkout with the frozen directories staged under the indicated paths: + +```sh +python -I -B accounting.py --predecessor PATH/gaussian-root-retirement --candidate PATH/retirement-rebalanced-query-tree +python -I -O -B accounting.py --predecessor PATH/gaussian-root-retirement --candidate PATH/retirement-rebalanced-query-tree +``` + +## Exact dependencies and limits + +Runtime reads: + +- Predecessor: `CONTROLLER.json`, `WITNESS.json`. The native archive is read in memory from the candidate's exact retained `source.tar`, and its independently observed predecessor SHA256 is checked. +- Candidate: `CONTROLLER.json`, `ROOT.json`, `WITNESS.json`, `source.tar`. +- Nested old ROOT: `native-source.tar!research/p104-scaled-transport-fusion/source.tar!research/p104-third-anchor-clean-mixed-root/root-source.tar!research/mixed-projector-query-root/ROOT.json`. +- Nested native word: `native-source.tar!research/p104-scaled-transport-fusion/WORD.json.gz`. + +No archive paths are extracted. Source-pin authentication should surround this checker in the integrated package. The native archive is checked against the independently observed predecessor hash; the other reported SHA256 values identify bytes actually read and need the integrated source pins to bind GitHub heads. + +The caller identity is a separate obligation: this checker assumes the physical meaning of the serialized endpoint rows, and checks accounting/interface consistency rather than proving those endpoints from gate composition. It does not replay native phase maps, verify the retirement prefix/dual-pair identity, prove arbitrary-input restoration, certify the numerical root, validate changed completion decay, implement a uniform compiler, price total ordinary work, or resolve any of the five framework assumptions. Those obligations must remain separately labelled even if this delta check passes. + +Credit Ali Romman for PR6551 and PR6545, the PR6398 mixed-root and PR6529 native-source lineage, and all inherited source notices. This independent accounting implementation and explanation were prepared for DLamdata with substantial OpenAI Codex assistance. Apache-2.0; no independent human or proof-kernel verification is claimed. diff --git a/research/pr6551-retirement-audit/FINAL-REVIEW.md b/research/pr6551-retirement-audit/FINAL-REVIEW.md new file mode 100644 index 0000000000..b3afb2fd71 --- /dev/null +++ b/research/pr6551-retirement-audit/FINAL-REVIEW.md @@ -0,0 +1,55 @@ +# Final integrated internal review + +**Verdict: no unresolved blocking finding for the scoped finite caller/cut and complete Gaussian invoice-delta audit.** One source-navigation issue was found and resolved before publication. This is separate AI review, not human review, formal verification, supplier admission or certification of PR6551's numerical kappa. + +## Reviewed bytes + +The following SHA256 values identify the integrated files reviewed after the navigation and measured-memory corrections. The package root is `research/pr6551-retirement-audit/`. VALIDATION.md was read in the final evidence-only follow-up and is included below. + +| File | SHA256 | +|---|---| +| `caller.py` | `667dfc0b99b194dd4213f44596f8a7de4916022517a63da589fc2f201a8fcd2b` | +| `accounting.py` | `c032bab18b8fe8763fec40958a8f6ae09d7e973755005347cec4e74f86128605` | +| `cut_four_fibers.py` | `49b0be279b33c4b346cff8ebc4b10ed97f63e1efe0fcb0ffac9cc2f11dc9defa` | +| `verify.py` | `a36e1b376308ffaaba752fa5230261ecd2ac13bceb6a4e989f172b144a9e78e7` | +| `README.md` | `15e15154c0cf6cfa1a172b259d36f710bb99f912ac1f66976a5d258781348a83` | +| `REVIEW.md` | `983393592d3249232b79752a5f08606abf5b7bb24c2ac943a84bba7925960c4a` | +| `TASK.json` | `7d6ce0fb843322092a12816f837fe0ae58452459c330fa810e004b0c6d1ab000` | +| `VERIFY.json` | `2e6eaba0ad815003e17381e1a992045bed0b10551acb114de2ffd77d018138c2` | +| `RESULT.json` | `f872cfe53b831e904cae956abb81138efb1ce735ace664fcfdca53592da98364` | +| `RETAINED.json` | `5568ad3ee8390e07c40400a12c27dd8666331d0d1bc87da7a9e71de7cd59ca31` | +| `VALIDATION.md` | `7b3e9fd1ebf6f2bc8e4897b935437b8ea56ae170f7bb77fd5bce258fe320fa41` | + +## Integration and source authenticity + +The wrapper authenticates every retained input by both SHA256 and Git-blob framing before running an audit module. It also requires the exact retained-file inventory. It never imports a retained predecessor Python module. It imports only the new caller/accounting modules under a temporary bytecode-cache namespace; the separate cut script runs in an isolated Python subprocess with its own temporary cache namespace. The normal and optimized manifests invoke identical scientific checks, and the receipt comparison is enabled by default. No direct scientific replay was run concurrently with the lead's registered replay during this final review. + +I independently compared all 20 retained source entries. Sixteen direct PR6545/PR6551 objects matched `git show SOURCE_COMMIT:SOURCE_PATH` byte for byte with `GIT_NO_REPLACE_OBJECTS=1`. The four PR6398 original commits are unavailable in the local Git object database (read returned status128); instead, all four copied inspection sources matched their members through the exact, already authenticated PR6551 source archive chain. The copies are consequently backed by the pinned PR6551 archive without needing side-branch history at replay time. This final check does not newly establish the original PR6398 commit mapping independently of the retained predecessor metadata. The recorded original pins and retention chain disclose that distinction. + +The complete caller uses exact Q(i) coefficients and symbolic stages, checks both 35-by-35 endpoint maps, and verifies pivot/fresh row-and-column isolation plus access lifetimes. The explicit zero check before dropping serialized stage D0 prevents an accidental loss of a real stage variable. The second cut engine uses all four exact central fibers and the written Chinese remainder argument; it is not a random numerical test. The accounting engine derives target ranks and paid event counts from literal source data and independently traverses binary trees. Its same-native cancellation is conditional on the declared native interface; the unchanged native archive and 18 ordered invocations are checked, not mathematically replayed. + +The receipt contains the advertised 11 primary-caller, 7 accounting and 4 cut failure controls. All primary result fields examined agree with README scope. In particular the literal ordinary counts are ADD295, LAMBDA34, SCALE86, SWAP126 for both sources, and Q_POWER17 versus19. This is a complete Gaussian invoice delta with two extra ordinary events counted. It is not a proof of the total ordinary-operation tariff, nor a complete price/outer proof. The README clearly says so and retains every framework assumption. + +The 20-file input record, default receipt comparison, no-executed-predecessor claim and self-contained replay design are consistent. Wrapper source authentication is an integrity check against declared pins, not a claim of independent upstream Git availability for every historical source. Scientific correctness still rests on the exact fixed-source semantics and written arguments described in REVIEW.md. + +## Finding and resolution + +The first integrated TASK and README directed the next reviewer to a "retained PR6551 pricing.py", but that file was not in the copied candidate inventory; the nested archive contains predecessor pricing and the candidate declares adaptations. The lead corrected both next-step texts to link the exact public PR6551 pricing.py at `11ca568cd1a16776ade02b4df09ea04a784cc674`. I read back both replacements and confirmed the links. The README also corrected its measured-memory statement to the recorded child high-water below64MiB (63,820KiB). I read back that wording and the new VALIDATION.md, which records successful local evidence while leaving committed-byte/export checks pending. No checker, retained source or RESULT bytes changed. This resolved a navigation/claim-accuracy issue, not a scientific counterexample. + +The earlier proof review supplied the implicit invertibility of the complementary cut block in the Laurent stage ring and emphasized that ordinary coefficients stay outside tensor powers. Those qualifications remain in integrated REVIEW.md. Neither finding is left as an unacknowledged proof gap. + +## Actual final-review operations + +After sourcing `/workspace/.integer-mult-env/activate` in the intended checkout, I used Python hashlib to record the eleven file hashes; read the integrated checker, manifests, receipt and prose with `cat` and Python JSON parsing; counted receipt controls and ordinary-event inventories; and ran the following read-only source comparison for each declared input: + +```text +git show : +``` + +Those subprocesses set `GIT_NO_REPLACE_OBJECTS=1`, used captured output and a ten-second timeout. Sixteen returned0 and matched; four missing historical objects returned128. Python `tarfile` then read, without filesystem extraction, the nested archive members for the four PR6398 files and compared all bytes successfully. The retained-input inventory supplies the exact paths, hashes and archive chain needed to repeat these comparisons. No network request, Git mutation, package edit, wrapper replay or artifact-regenerating suite was performed by this final review. + +## Remaining limits + +The lead's recorded local evidence reports the registered normal/optimized verification and additional optimized direct replay passed; I read those exit records and checked the logs contain the integrated result marker. I did not rerun them. Committed-byte and export/cold checks remain lead publication steps at this review snapshot; their success is not inferred here. Native all-width maps, physical ordinary rates, numerical crossing, changed completion tail, compiler and outer predicates remain outside this audit. Independent implementations share source opcode meanings, physical rank interpretation and Python rational arithmetic. These dependencies and the five inherited assumptions remain disclosed. A future source/checker/receipt change invalidates the corresponding reviewed hashes and needs a targeted recheck. + +Prepared for DLamdata with substantial OpenAI Codex assistance in the separate skeptical-review role; Apache-2.0. Predecessor construction credit remains unchanged. diff --git a/research/pr6551-retirement-audit/LICENSE b/research/pr6551-retirement-audit/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/pr6551-retirement-audit/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/pr6551-retirement-audit/NOTICE b/research/pr6551-retirement-audit/NOTICE new file mode 100644 index 0000000000..b2ec07d122 --- /dev/null +++ b/research/pr6551-retirement-audit/NOTICE @@ -0,0 +1,6 @@ +Independent PR6551 retirement-cut and invoice audit +Prepared for DLamdata with substantial OpenAI Codex assistance, including separate native AI accounting and skeptical-review roles. Apache-2.0. + +This package adds independent finite checks and a scoped review; it does not claim the predecessor construction or its gain as new. +Ali Romman retains credit for PR6551, PR6545, PR6398 and integration; Cinna Davis and the PR6348 binary/physical caller lineage, PR5599/5602/5611/5615 handoff/basis work, PR6529 native source and PR6524 replay services retain their credit. +Exact source NOTICE files and the nested source archive retain the complete contributor and licensing notices, including Jacob Alan Sussman, DreamingOfClouds, Rohan Arun, Erwan L. and all preceding authors. diff --git a/research/pr6551-retirement-audit/OVERLAP.json b/research/pr6551-retirement-audit/OVERLAP.json new file mode 100644 index 0000000000..2b09ef8402 --- /dev/null +++ b/research/pr6551-retirement-audit/OVERLAP.json @@ -0,0 +1,106 @@ +{ + "searched_at": "2026-11-03T08:33:26.041140+00:00", + "terms": [ + "retirement-rebalanced-query-tree", + "6551", + "6545" + ], + "coverage": { + "local": { + "head": "7c49fe32c55de02c2c873655c804b16e4c3fef0a", + "records": 8917, + "head_records": 8917, + "complete_head_inventory": true, + "unsearched_head_paths": [] + }, + "open_prs": { + "fetched_at": "2026-11-03T08:31:20.413465+00:00", + "complete_pagination": true, + "records": 504 + }, + "discussions": { + "fetched_at": "2026-11-03T08:33:25.542311+00:00", + "complete_pagination": true, + "records": 6491 + } + }, + "warnings": [], + "limits": "Remote PR scope is open PRs including drafts. Closed work is searched through local READMEs, TASK metadata and ledger only. Local coverage compares searched working-tree notes with regular note paths at coverage.local.head; it does not certify HEAD contents or historical coverage. No code diffs or arbitrary package files are searched. Recheck relevant heads before submission.", + "relevant_matches": [ + { + "number": 1166, + "title": "Handoffs and requests for independent checks", + "kind": "discussion-comment", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1166#discussioncomment-19367661", + "updated_at": "2026-11-03T06:09:28Z", + "matched_terms": [ + "retirement-rebalanced-query-tree", + "6551", + "6545" + ], + "score": 3, + "excerpt": "HANDOFF / new complete conditional kappa improvement: [PR6551](https://github.com/CrocSwap/integer-mult-bounds/pull/6551), head `11ca568cd1a16776ade02b4df09ea04a784cc674`.\n\nKappa rises from PR6545's .00329394 to **.00329492**, an incremental **0.0297516%** gain. Keep its published retirement and PR6529 native word; change child sizes (7,2,2,7) to (7,2,5,4). The exact complete signed gain is `208*(H41-H40-H57+H56)`, positive for every power tariff with 0 0, H_r=r^t, 0 research/p104-scaled-transport-fusion/source.tar -> research/p104-third-anchor-clean-mixed-root/root-source.tar", + "sha256": "e5671c66a4091f1b482a750baf5bedf9ac0750e577efbe3c5b3d2860d2fa8edc", + "git_blob": "393524f903b44be54884475d11200f06ce1dfddb", + "source_commit": "dee2663ba0918be86993fd9d63c8d64b020f4c83", + "source_repository": "aliromman/integer-mult-bounds" + }, + { + "path": "source/pr6398/algebra.py", + "source_path": "research/mixed-projector-query-root/algebra.py", + "retention_chain": "PR6545 native-source.tar -> research/p104-scaled-transport-fusion/source.tar -> research/p104-third-anchor-clean-mixed-root/root-source.tar", + "sha256": "02eb3380715294334710edd3273f267dc048264555bd60fefb86022bc9eda835", + "git_blob": "a06d6f641685e96b2f150ea6b741930a9ec037f8", + "source_commit": "dee2663ba0918be86993fd9d63c8d64b020f4c83", + "source_repository": "aliromman/integer-mult-bounds" + }, + { + "path": "source/pr6398/ROOT.json", + "source_path": "research/mixed-projector-query-root/ROOT.json", + "retention_chain": "PR6545 native-source.tar -> research/p104-scaled-transport-fusion/source.tar -> research/p104-third-anchor-clean-mixed-root/root-source.tar", + "sha256": "2f25684c24ae0e1d10d4f8f29430aed3cef584f82c8ae840e82be0a72baa048d", + "git_blob": "b59f1ea89aca17f0a76131743c12f2c724421df8", + "source_commit": "dee2663ba0918be86993fd9d63c8d64b020f4c83", + "source_repository": "aliromman/integer-mult-bounds" + }, + { + "path": "source/pr6551/source.tar", + "source_repository": "aliromman/integer-mult-bounds", + "source_commit": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "source_path": "research/retirement-rebalanced-query-tree/source.tar", + "git_blob": "025b8b9c6d9b21e31ad7499ebb04132abfa7e88c", + "sha256": "2481af235a2673c5f3ce1de0391027046eebd356615d09147f8034076eed7135" + }, + { + "path": "source/pr6551/verify.py", + "source_repository": "aliromman/integer-mult-bounds", + "source_commit": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "source_path": "research/retirement-rebalanced-query-tree/verify.py", + "git_blob": "6c399a573843d63d3db07a6921814558c2a94aa8", + "sha256": "948d43e8ef363f7479f537335a62152b301f7ce5d00bea52ff42cbde28922277" + }, + { + "path": "source/pr6551/ADAPTERS.json", + "source_repository": "aliromman/integer-mult-bounds", + "source_commit": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "source_path": "research/retirement-rebalanced-query-tree/ADAPTERS.json", + "git_blob": "f934706771179e2e26467c3efc11f88d2642085e", + "sha256": "0a5117f47a4056bf19208ef1ef0f09ee69c5acfe1dc0375f91d78907f8b6beb0" + }, + { + "path": "source/pr6398/NOTICE", + "source_commit": "dee2663ba0918be86993fd9d63c8d64b020f4c83", + "source_repository": "aliromman/integer-mult-bounds", + "source_path": "research/mixed-projector-query-root/NOTICE", + "git_blob": "03e4ac5937424ed9f0ae0e4b33d6b0df0c9ec8d9", + "sha256": "b6026dd901f3cb2e6ec6d5f7b32a38aa998005c8a1df93392151ca1766d45b33" + } + ] +} diff --git a/research/pr6551-retirement-audit/REVIEW.md b/research/pr6551-retirement-audit/REVIEW.md new file mode 100644 index 0000000000..a53826fecd --- /dev/null +++ b/research/pr6551-retirement-audit/REVIEW.md @@ -0,0 +1,68 @@ +# Independent review of the PR6551 retirement cut + +**Verdict:** no mathematical objection was found to carrying PR6545's independent retirement through the changed PR6551 tree allocation. The finite retirement cut has an independent exact check described below. This review is not admission of the complete supplier, a new kappa claim, a replay of native operators or outer inequalities, a human review, or a formal-kernel proof. + +Frozen construction inputs are Ali Romman's PR6551 at `11ca568cd1a16776ade02b4df09ea04a784cc674` and PR6545 at `775722aa94a5e85b05d1d704d7dca10cbf016f0c`. Their exact `CONTROLLER.json`, `WITNESS.json` and proof hashes are recorded in `evidence/review-input-hashes.json`. The supplied reviewer script does not authenticate these pins by itself; the integrated package must bind its two data inputs before replay. No source or primary checking routine is imported or executed. + +## A different exact check + +`cut_four_fibers.py` treats the stage variables as formal multivariate monomials with Gaussian rational coefficients. It evaluates the central variable q at all four values `1,-1,i,-i`. It independently propagates a column forward and a row backward through each literal 345-event prefix. This is the input basis inverse, the complete 329-event original prefix through zero-based event 328, and the 11-event middle basis. Every one of the 35 pivot-column and 35 pivot-row positions is checked in each fiber, for both old and new callers. Both are exactly the scalar `S=lambda*q^(-1)` on coordinate 4 and zero elsewhere. The pivot scalar in these four fibers is respectively `1,-1,1,-1`. + +This four-point check is exact for the claimed ring, rather than testing a few random numerical inputs. Put `A=Q(i)[D_0,...,D_18]`, or its Laurent localization when discussing inverses. Over A the four linear factors of `q^4-1` are pairwise comaximal, since their differences are nonzero elements of Q(i), hence units. Therefore + +`A[q]/(q^4-1) -> A x A x A x A` + +by evaluation at the four fourth roots is injective (indeed an isomorphism). The checker retains the D variables symbolically. It never specializes them, substitutes `q^2=1`, or approximates a coefficient. Thus vanishing in all four fibers establishes the pivot identities in the full stated q quotient ring. This is a written algebraic justification of the finite checker, not a formalization of that justification. + +The script independently implements all used opcodes from the declared linear interfaces. The shared semantic premise is the source contract: `LOCAL(j,s,d)` maps `(s,d)` to `(D_j*s,D_j*d+q^-1*D_j*s)`, QUERY and ADD are translations, IDLE multiplies by its stage monomial, and LAMBDA multiplies by `(1+sign*i)/2+(1-sign*i)*q^2/2`. These same mathematical meanings are necessarily shared with the construction. The separate code representation and CRT argument reduce implementation dependence; they do not independently prove that physical native programs realize those meanings. + +## Input independence and boundary argument + +The old and new 345-event prefixes are literally equal. Their `WITNESS.json` records are also equal. The fresh coordinate 34 is never accessed before the handoff. Coordinate 4 is never accessed afterward except for its final scalar normalization. The script checks the two access facts against opcode-specific role slots, so stage numbers are not mistaken for register names. + +Consequently the isolated output at the cut depends only on arbitrary initial coordinate 4, while the suffix receives independent arbitrary initial coordinate 34. There is no copying of a single input into two productive targets. The final inverse-lambda normalizer sends the retired `S` output to `q^-1`. The literal caller has 35 independent input coordinates from the start; lifetime language does not supply extra algebraic independence beyond this explicit input model. + +For the conceptual unretired construction, the input basis G only mixes fields 4,20,21, whose normalized complete targets are all `S*C`. The changed child product is `C=D_10*D_11*D_12*D_13*D_14`; the equality of all three targets is the relevant property. G therefore commutes with the full normalized target F. All its elementary factors are invertible: ADD is a shear, each SCALE is a nonzero dyadic unit, and lambda is invertible because `lambda^2=q^2` and `q^4=1`. The same holds for J. + +One implicit step in the source prose deserves being made explicit in an audit: if `J*P*G^-1=S direct_sum K`, proving that the matching suffix is block diagonal uses invertibility of K. This follows in the Laurent stage ring because the full prefix is a product of invertible gates. The same polynomial identities then descend to the polynomial subring by its injective localization. There is no gap from this step under the stated invertible stage contract. With that observation, source endpoint `F`, equal-target commutation, and `S^2=1` give suffix pivot block C. A full independently checked endpoint is still needed to bind the argument to the remaining 34-field word; that is the lead caller check, not this cut-only reviewer script. + +The source all-width convention is also necessary: the ordinary coefficients in lambda and the basis gates remain outside tensor powers. Tensoring scalar coefficients separately would change the construction. This review accepts the factorwise substitution convention and does not discharge physical all-width realization, precision, erasure, movement or compiler hypotheses. + +## Invoice and ordinary costs + +For the claimed delta `208*(H41-H40-H57+H56)`, strict positivity at every `H_r=r^t`, `0 0`. + +The inequalities are strict throughout the integration interval. At t=0 or t=1 the delta is zero, so the open interval restriction is material. This establishes a favorable signed-invoice difference only after the complete histograms have been independently reconstructed; it neither determines a numerical crossing nor certifies a whole supplier budget. + +A direct literal event count gives 609 versus 611 events and 17 versus 19 Q_POWER operations. The source ordinary upper-bound expression evaluates to `254699248` and `254932208`, respectively; their difference `232960=32*35*104*2` includes the two added events. This checks the arithmetic of the declared bound, not the physical proof of its per-event rate or all retained local route allowances. The body of `pricing.py` was read to assess that limitation; it was not imported or executed. In particular no claim of freshly verified raw root, tail decay, compiler threshold, BIT admission or 58 outer predicates follows from this review. + +## Actual runs and controls + +Commands, interpreter path, elapsed seconds, exit status and peak child RSS are in `evidence/review-runs.json`. Normal and optimized modes passed with byte-identical output receipts: + +```sh +python -I -B cut_four_fibers.py OLD_CONTROLLER.json NEW_CONTROLLER.json +python -I -O -B cut_four_fibers.py OLD_CONTROLLER.json NEW_CONTROLLER.json +``` + +The runs took approximately 0.087 s and 0.170 s, with peak child RSS at most 13,608 KiB, on the activated CPython 3.12 environment. A canceling ADD pair is a positive operator-preservation control. Four deliberately invalid controls reject: input-basis sign change, middle-basis sign change, a fresh-input read before handoff, and retired-input reuse after handoff. The first two fail the exact pivot-row identity; the last two fail the corresponding input-lifetime condition. No assertion is used for scientific acceptance inside the checker, so the optimized run exercises the same checks. + +Timing was recorded with Python's `time.monotonic` and `resource.getrusage`. The final two receipts and `evidence/review-runs.json` describe the final checker bytes. + +## Resolved findings and remaining obligations + +There are no unresolved blocking findings for this scoped cut argument. The implicit invertibility step is supplied above, the `0 0, 'strictly productive target') + targets[rank] += 1 + need(targets == root_targets(root,children,internal), 'tree-to-endpoint productive ranks') + # Pin which field is retired, not just its rank histogram. + need(word['diagonal'][4] == [-1]+[0]*19, 'returned pivot has only central Q inverse') + need(word['diagonal'][34] == [0,0]+[int(s in children[2]) for s in range(1,19)], 'fresh independent suffix has exactly C') + paid = Counter() + idles, singles, stages = [], [], [] + query_count = 0 + ordinary = Counter() + for event in word['events']: + need(type(event) is list and event, 'event encoding') + op = event[0] + if op == 'LOCAL': + need(len(event) == 4 and type(event[1]) is int and 1 <= event[1] <= 18, 'LOCAL stage') + stages.append(event[1]) + elif op == 'QUERY': + need(len(event) == 4 and event[3] in (-1,1), 'rank-one QUERY sign') + query_count += 1 + paid[1] += 1 + elif op in ('IDLE','IDLE_ONE'): + expected_len = 4 if op == 'IDLE' else 3 + need(len(event) == expected_len, 'idle arity') + subset = event[-1] + need(type(subset) is list and subset and len(set(subset)) == len(subset) and all(type(s) is int and 1<=s<=18 for s in subset), 'distinct fresh idle stages') + if op == 'IDLE': + idles.append(tuple(subset)); multiplicity = 2 + else: + singles.append(tuple(subset)); multiplicity = 1 + paid[8*len(subset)] += multiplicity + elif op == 'Q_POWER': + need(len(event) == 3 and event[2] in (-2,2), 'ordinary Q-square translation only') + ordinary[op] += 1 + elif op in ('ADD','SWAP','SCALE','LAMBDA'): + ordinary[op] += 1 + else: + raise AccountingError('unaccounted event '+str(op)) + need(stages == list(range(1,19)), 'same ordered LOCAL stage calls') + need(query_count == len(internal)+len(root['thin_sites']), 'all binary and root thin queries paid') + need(Counter(idles) == Counter(internal), 'all binary-node whole idles paid') + need(Counter(singles) == Counter((children[1],children[2])), 'both additional root whole idles paid') + need(sum(targets.values()) == 35, 'all independent targets counted') + return { + 'target_per_port': targets, + 'paid_per_port': paid, + 'internal_nodes': Counter(map(len,internal)), + 'children': [len(s) for s in children], + 'ordinary_events': ordinary, + 'local_stages': stages, + } + + +def delta(old,new,multiplier=104): + return {str(r):multiplier*(new[r]-old[r]) for r in sorted(old.keys()|new.keys()) if new[r]!=old[r]} + + +def plain(counter): + return {str(k):counter[k] for k in sorted(counter)} + + +def rejects(fn, expected): + try: + fn() + except AccountingError as error: + need(str(error) == expected, 'wrong rejection reason: '+str(error)) + return str(error) + raise AccountingError('invalid control accepted: '+expected) + + +def run(predecessor,candidate): + old_bytes = (predecessor/'CONTROLLER.json').read_bytes() + new_bytes = (candidate/'CONTROLLER.json').read_bytes() + old_word,new_word = json.loads(old_bytes),json.loads(new_bytes) + retained = (candidate/'source.tar').read_bytes() + native_archive = member(retained,'research/gaussian-root-retirement/native-source.tar') + # This hash was obtained independently from the exact PR6545 source head. + need(sha256(native_archive).hexdigest() == '2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4', 'exact predecessor native archive') + original_root,new_root = old_root(native_archive),json.loads((candidate/'ROOT.json').read_bytes()) + for name in ('CONTROLLER.json','WITNESS.json'): + need(member(retained,'research/gaussian-root-retirement/'+name) == (predecessor/name).read_bytes(), 'candidate retains exact predecessor '+name) + need((candidate/'WITNESS.json').read_bytes() == (predecessor/'WITNESS.json').read_bytes(), 'unchanged retirement witness') + omit = {'children','child_sizes'} + need({k:v for k,v in original_root.items() if k not in omit} == {k:v for k,v in new_root.items() if k not in omit}, 'unchanged root outside child allocation') + native = json.loads(gzip.decompress(member(native_archive, 'research/p104-scaled-transport-fusion/WORD.json.gz'))) + ports = len(native['ports']) + need(ports == 104 and len(set(native['ports'])) == ports and len(native['live']) == ports, 'retained distinct native ports') + native_moves = sum(e[0] == 'MOVE' for e in native['program']) + native_helpers = native['public'] - 2*ports + need(native_helpers == 562 and native_moves == 3456, 'retained structural call counts') + before = inspect_caller(old_word,original_root) + after = inspect_caller(new_word,new_root) + # Independent controls perturb the boundary data actually read above. + controls = {} + missing_idle = deepcopy(new_word) + index = next(i for i,e in enumerate(missing_idle['events']) if e[0] == 'IDLE_ONE' and len(e[-1])==5) + del missing_idle['events'][index] + controls['missing_third_child_idle'] = rejects(lambda:inspect_caller(missing_idle,new_root), 'both additional root whole idles paid') + wrong_target = deepcopy(new_word) + wrong_target['diagonal'][34][0] = -1 + controls['unearned_central_target'] = rejects(lambda:inspect_caller(wrong_target,new_root), 'tree-to-endpoint productive ranks') + wrong_stage = deepcopy(new_word) + wrong_stage['diagonal'][34][2+9] = 0 + controls['missing_suffix_stage'] = rejects(lambda:inspect_caller(wrong_stage,new_root), 'tree-to-endpoint productive ranks') + missing_query = deepcopy(new_word) + del missing_query['events'][next(i for i,e in enumerate(missing_query['events']) if e[0]=='QUERY')] + controls['missing_rank_one_query'] = rejects(lambda:inspect_caller(missing_query,new_root), 'all binary and root thin queries paid') + missing_local = deepcopy(new_word) + del missing_local['events'][next(i for i,e in enumerate(missing_local['events']) if e[0]=='LOCAL')] + controls['uncancelled_native_invocation'] = rejects(lambda:inspect_caller(missing_local,new_root), 'same ordered LOCAL stage calls') + odd_translation = deepcopy(new_word) + odd_translation['events'][next(i for i,e in enumerate(odd_translation['events']) if e[0]=='Q_POWER')][2] = 1 + controls['unpaid_gaussian_as_translation'] = rejects(lambda:inspect_caller(odd_translation,new_root), 'ordinary Q-square translation only') + # A same-histogram wrong suffix must also fail the endpoint identity check. + swapped_target = deepcopy(new_word) + swapped_target['diagonal'][4],swapped_target['diagonal'][34] = swapped_target['diagonal'][34],swapped_target['diagonal'][4] + controls['same_invoice_wrong_field'] = rejects(lambda:inspect_caller(swapped_target,new_root), 'returned pivot has only central Q inverse') + td = delta(before['target_per_port'],after['target_per_port'],ports) + pd = delta(before['paid_per_port'],after['paid_per_port'],ports) + signed = Counter({int(k):v for k,v in td.items()}) + signed.subtract({int(k):v for k,v in pd.items()}) + signed = {str(k):signed[k] for k in sorted(signed) if signed[k]} + need(td == {'16':-104,'40':104,'41':208,'57':-208}, 'derived target delta regression') + need(pd == {'16':-104,'40':312,'56':-208}, 'derived paid delta regression') + out = { + 'status':'PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING', + 'predecessor_head':'775722aa94a5e85b05d1d704d7dca10cbf016f0c', + 'candidate_head':'11ca568cd1a16776ade02b4df09ea04a784cc674', + 'caller_sha256':{'predecessor':sha256(old_bytes).hexdigest(),'candidate':sha256(new_bytes).hexdigest()}, + 'native_source_sha256':sha256(native_archive).hexdigest(), + 'ports':ports, + 'native_paid_jobs_per_invocation':native_moves, + 'native_productive_helpers_per_invocation':native_helpers, + 'complete_target_counts':[18*native_helpers + ports*sum(x['target_per_port'].values()) for x in (before,after)], + 'complete_paid_counts':[18*native_moves + ports*sum(x['paid_per_port'].values()) for x in (before,after)], + 'native_invocations_cancelled':18, + 'target_delta':td,'paid_delta':pd,'signed_delta':signed, + 'target_count_delta':sum(td.values()),'paid_count_delta':sum(pd.values()), + 'target_rank_mass_delta':sum(int(k)*v for k,v in td.items()), + 'paid_rank_mass_delta':sum(int(k)*v for k,v in pd.items()), + 'old':{k:plain(v) if isinstance(v,Counter) else v for k,v in before.items()}, + 'new':{k:plain(v) if isinstance(v,Counter) else v for k,v in after.items()}, + 'controls':controls, + 'scope':'Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.' + } + return out + + +def main(): + parser=argparse.ArgumentParser() + parser.add_argument('--predecessor',type=Path,required=True) + parser.add_argument('--candidate',type=Path,required=True) + args=parser.parse_args() + print(json.dumps(run(args.predecessor,args.candidate),sort_keys=True,indent=2)) + + +if __name__=='__main__': + main() diff --git a/research/pr6551-retirement-audit/caller.py b/research/pr6551-retirement-audit/caller.py new file mode 100644 index 0000000000..c3c8f3fcd2 --- /dev/null +++ b/research/pr6551-retirement-audit/caller.py @@ -0,0 +1,213 @@ +"""Independent sparse transfer replay; no predecessor code is executed. + +DLamdata with substantial OpenAI Codex assistance, Apache-2.0. +Terms are (input coordinate, q exponent modulo four, 18 stage exponents). +Coefficients are exact pairs of rational numbers, real then imaginary. +""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as F +import hashlib +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +ZERO = (F(0), F(0)) +ONE = (F(1), F(0)) + + +def require(condition, reason): + if not condition: + raise ValueError(reason) + + +def add_into(out, key, value): + old = out.get(key, ZERO) + new = (old[0] + value[0], old[1] + value[1]) + if new == ZERO: + out.pop(key, None) + else: + out[key] = new + + +def identity(n): + return [{(i, 0, (0,)*18): ONE} for i in range(n)] + + +def scale(row, value): + value = F(value) + return {k: (value*a, value*b) for k, (a, b) in row.items() if value} + + +def translate(row, q=0, stages=()): + inc = tuple(stages.count(i) for i in range(1, 19)) + out = {} + for (source, power, exponent), value in row.items(): + key = (source, (power+q) % 4, tuple(a+b for a, b in zip(exponent, inc))) + add_into(out, key, value) + return out + + +def lambda_step(row, sign): + # (1+sign*i)/2 + (1-sign*i)q^2/2, applied linearly. + require(sign in (-1, 1), 'lambda sign') + out = {} + for (source, power, exponent), (a, b) in row.items(): + add_into(out, (source, power, exponent), ((a-sign*b)/2, (b+sign*a)/2)) + add_into(out, (source, (power+2) % 4, exponent), ((a+sign*b)/2, (b-sign*a)/2)) + return out + + +def replay(events, n=35, capture=None): + rows = identity(n) + peak = n + captured = None + for index, e in enumerate(events): + op = e[0] + if op == 'ADD': + _, dst, src, c = e + require(dst != src, 'ADD endpoints differ') + for key, value in scale(rows[src], c).items(): + add_into(rows[dst], key, value) + elif op == 'SCALE': + _, dst, c = e + require(F(c) != 0, 'invertible SCALE') + rows[dst] = scale(rows[dst], c) + elif op == 'SWAP': + _, a, b = e + rows[a], rows[b] = rows[b], rows[a] + elif op == 'Q_POWER': + _, dst, exponent = e + require(exponent in (-2, 2), 'ordinary even q translation') + rows[dst] = translate(rows[dst], q=exponent) + elif op == 'LAMBDA': + _, dst, sign = e + rows[dst] = lambda_step(rows[dst], sign) + elif op in ('QUERY', 'LOCAL'): + if op == 'QUERY': + _, dst, src, exponent = e + require(exponent in (-1, 1), 'thin query exponent') + else: + _, stage, src, dst = e + require(1 <= stage <= 18, 'native stage range') + exponent = -1 + require(src != dst, 'query endpoints differ') + for key, value in translate(rows[src], q=exponent).items(): + add_into(rows[dst], key, value) + if op == 'LOCAL': + rows[src] = translate(rows[src], stages=(stage,)) + rows[dst] = translate(rows[dst], stages=(stage,)) + elif op in ('IDLE', 'IDLE_ONE'): + if op == 'IDLE': + _, a, b, stages = e + roles = (a, b) + require(a != b, 'idle endpoints differ') + else: + _, a, stages = e + roles = (a,) + require(stages and len(set(stages)) == len(stages) and + all(type(s) is int and 1 <= s <= 18 for s in stages), 'idle stage set') + for r in roles: + rows[r] = translate(rows[r], stages=stages) + else: + raise ValueError('unknown event '+str(op)) + peak = max(peak, sum(len(r) for r in rows)) + if index == capture: + captured = deepcopy(rows) + return rows, captured, peak + + +def expected(word): + out = [] + for i, d in enumerate(word['diagonal']): + require(len(d) == 20 and d[1] == 0, 'explicit unused stage-zero coordinate') + require(all(type(x) is int and x >= 0 for x in d[2:]), 'nonnegative stage powers') + out.append({(i, d[0] % 4, tuple(d[2:])): ONE}) + return out + + +def roles_used(e): + slots = {'ADD': (1, 2), 'SCALE': (1,), 'SWAP': (1, 2), 'Q_POWER': (1,), + 'LAMBDA': (1,), 'QUERY': (1, 2), 'LOCAL': (2, 3), + 'IDLE': (1, 2), 'IDLE_ONE': (1,)} + return tuple(e[i] for i in slots[e[0]]) + + +def check_word(word, witness, check_cut=True): + require(word['roles'] == 35 and word['stages'] == 18 and len(word['diagonal']) == 35, + 'fixed caller dimensions') + require(sorted(e[1] for e in word['events'] if e[0] == 'LOCAL') == list(range(1, 19)), + 'exactly one occurrence of each native stage') + require(all(type(r) is int and 0 <= r < 35 for e in word['events'] for r in roles_used(e)), + 'role range') + require(witness['handoff_after'] == 344 and witness['pivot'] == 4 and witness['fresh'] == 34, + 'fixed actual handoff') + rows, cut, peak = replay(word['events'], capture=344 if check_cut else None) + require(rows == expected(word), 'full independent caller endpoint') + if check_cut: + # Directly inspect the actual 35-input program at the handoff, not dual-pair assertions. + s = translate(lambda_step(identity(35)[4], 1), q=-1) + require(cut[4] == s and cut[34] == identity(35)[34], 'isolated pivot and untouched fresh input') + require(all(not any(key[0] in (4, 34) for key in row) + for r, row in enumerate(cut) if r not in (4, 34)), 'isolated pivot and fresh columns') + require(all(34 not in roles_used(e) for e in word['events'][:345]), 'fresh input absent before handoff') + require([e for e in word['events'][345:] if 4 in roles_used(e)] == [['LAMBDA', 4, -1]], + 'returned pivot never reused by suffix') + suffix_stages = word['diagonal'][34][2:] + require(word['diagonal'][34][0] == 0, 'fresh target has no central factor') + for r in (20, 21): + require(word['diagonal'][r][0] % 4 == 3 and word['diagonal'][r][2:] == suffix_stages, + 'other equal normalized group targets') + return {'events': len(word['events']), 'coefficients': 35*35, + 'peak_nonzero_terms': peak, 'handoff_after': 344, + 'fresh_stages': [i+1 for i, x in enumerate(word['diagonal'][34][2:]) if x], + 'endpoint_sha256': hashlib.sha256(json.dumps(word['diagonal'], separators=(',', ':')).encode()).hexdigest()} + + +def rejected(fn): + try: + fn() + except ValueError as exc: + return str(exc) + raise ValueError('failure control was accepted') + + +def run(): + old = json.loads((HERE/'source/pr6545/CONTROLLER.json').read_bytes()) + new = json.loads((HERE/'source/pr6551/CONTROLLER.json').read_bytes()) + w = json.loads((HERE/'source/pr6551/WITNESS.json').read_bytes()) + require(w == json.loads((HERE/'source/pr6545/WITNESS.json').read_bytes()), 'unchanged retirement witness') + require(old['events'][:345] == new['events'][:345], 'same entire normalized handoff prefix') + require(new['events'][5:334][-1] == ['QUERY', 20, 21, -1], 'source cut after event 328') + # Independent opcode controls: q retains order four, not two; lambda is an ordinary scalar polynomial. + unit = identity(1)[0] + require(translate(unit, q=2) != unit and translate(unit, q=4) == unit, 'q order-four fixture') + require(lambda_step(lambda_step(unit, 1), -1) == unit, 'lambda inverse fixture') + require(lambda_step(lambda_step(unit, 1), 1) == translate(unit, q=2), 'lambda square fixture') + s = translate(lambda_step(unit, 1), q=-1) + require(translate(lambda_step(s, 1), q=-1) == unit, 'S involution fixture') + fixture = [['ADD', 1, 0, '1/2'], ['SCALE', 1, '-2'], ['SCALE', 1, '-1/2'], + ['ADD', 1, 0, '-1/2'], ['SWAP', 0, 1], ['SWAP', 0, 1]] + require(replay(fixture, n=2)[0] == identity(2), 'dirty two-role inverse fixture') + result = {'old': check_word(old, w), 'new': check_word(new, w), 'controls': {}} + # One direct semantic invalidation per distinct source issue; all checker assertions remain on under -O. + mutations = {} + bad = deepcopy(new); del bad['events'][344]; mutations['missing_final_cut_ADD'] = bad + bad = deepcopy(new); bad['events'][344][-1] = '-1'; mutations['wrong_cut_sign'] = bad + bad = deepcopy(new); bad['events'].insert(345, ['ADD', 34, 4, '1']); mutations['reuse_retired_output'] = bad + bad = deepcopy(new); bad['diagonal'][34][0] = -1; mutations['unearned_central_target'] = bad + for op in ('LOCAL', 'QUERY', 'IDLE', 'IDLE_ONE', 'LAMBDA', 'Q_POWER'): + bad = deepcopy(new) + del bad['events'][next(i for i, e in enumerate(bad['events']) if e[0] == op)] + mutations['missing_'+op] = bad + for name, bad in mutations.items(): + result['controls'][name] = rejected(lambda bad=bad: check_word(bad, w)) + # A change after the handoff that preserves the full diagonal is still disallowed if it touches the retired field. + bad = deepcopy(new); bad['events'][345:345] = [['ADD', 34, 4, '1'], ['ADD', 34, 4, '-1']] + result['controls']['endpoint_preserving_retired_reuse'] = rejected(lambda: check_word(bad, w)) + result['status'] = 'PASS_INDEPENDENT_RETIREMENT_CALLER' + return result + + +if __name__ == '__main__': + print(json.dumps(run(), sort_keys=True, indent=2)) diff --git a/research/pr6551-retirement-audit/cut_four_fibers.py b/research/pr6551-retirement-audit/cut_four_fibers.py new file mode 100644 index 0000000000..560b8c6cfe --- /dev/null +++ b/research/pr6551-retirement-audit/cut_four_fibers.py @@ -0,0 +1,157 @@ +"""Independent exact cut check in all four fibers of q^4 - 1. + +No source or lead replay routines are imported. Gaussian rational arithmetic and +formal commuting stage monomials are implemented here. Apache-2.0; prepared for +DLamdata with substantial OpenAI Codex assistance. +""" +from copy import deepcopy +from fractions import Fraction as F +from pathlib import Path +import json +import sys + +Z = (F(0), F(0)) +O = (F(1), F(0)) +I = (F(0), F(1)) +MON = (0,)*19 + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def plus(a, b): + return a[0]+b[0], a[1]+b[1] + + +def times(a, b): + return a[0]*b[0]-a[1]*b[1], a[0]*b[1]+a[1]*b[0] + + +def power(a, n): + out=O + for _ in range(n%4): + out=times(out,a) + return out + + +def add_poly(a, b, scalar=O): + result=dict(a) + for mon, value in b.items(): + value=plus(result.get(mon,Z),times(value,scalar)) + if value==Z: + result.pop(mon,None) + else: + result[mon]=value + return result + + +def scale(a, b): + return {mon:times(value,b) for mon,value in a.items() if times(value,b)!=Z} + + +def stage(a, labels): + labels=set(labels) + return {tuple(x+int(i in labels) for i,x in enumerate(mon)):value for mon,value in a.items()} + + +def replay_vector(events, q, reverse=False, target=4): + state=[{} for _ in range(35)] + state[target]={MON:O} + for e in (reversed(events) if reverse else events): + op=e[0] + if op in ('SCALE','Q_POWER','LAMBDA'): + r=e[1] + if op=='SCALE': + c=(F(e[2]),F(0)) + elif op=='Q_POWER': + c=power(q,e[2]) + else: + c=plus((F(1,2),F(e[2],2)), times((F(1,2),F(-e[2],2)),power(q,2))) + state[r]=scale(state[r],c) + elif op=='SWAP': + a,b=e[1:] + state[a],state[b]=state[b],state[a] + elif op in ('ADD','QUERY'): + dst,src=e[1:3] + c=(F(e[3]),F(0)) if op=='ADD' else power(q,e[3]) + if reverse: + src,dst=dst,src + state[dst]=add_poly(state[dst],state[src],c) + elif op=='LOCAL': + j,src,dst=e[1:] + if reverse: + state[src]=stage(state[src], [j]) + state[dst]=stage(state[dst], [j]) + state[src]=add_poly(state[src],state[dst],power(q,-1)) + else: + state[dst]=add_poly(state[dst],state[src],power(q,-1)) + state[src]=stage(state[src],[j]) + state[dst]=stage(state[dst],[j]) + elif op in ('IDLE','IDLE_ONE'): + roles,labels=(e[1:3],e[3]) if op=='IDLE' else ([e[1]],e[2]) + for r in roles: + state[r]=stage(state[r],labels) + else: + raise ValueError('unknown opcode '+op) + return state + + +def slots(e): + return {'ADD':(1,2),'SWAP':(1,2),'SCALE':(1,),'LAMBDA':(1,), + 'Q_POWER':(1,),'QUERY':(1,2),'LOCAL':(2,3),'IDLE':(1,2),'IDLE_ONE':(1,)}[e[0]] + + +def audit(word): + events=word['events'] + need(word['roles']==35 and word['stages']==18,'dimensions') + prefix=events[:345] + need(prefix[-1]==['ADD',4,21,'1'],'cut marker') + need(all(e[i]!=34 for e in prefix for i in slots(e)),'fresh input used before handoff') + need(all(e[i]!=4 for e in events[345:-3] for i in slots(e)), 'retired input reused after handoff') + need(events[-3:]==[['LAMBDA',4,-1],['LAMBDA',20,-1],['LAMBDA',21,-1]],'final normalization') + totals=[] + for q in [O,(-F(1),F(0)),I,(F(0),-F(1))]: + lam=plus((F(1,2),F(1,2)),times((F(1,2),-F(1,2)),power(q,2))) + s=times(lam,power(q,-1)) + expected=[{} for _ in range(35)] + expected[4]={MON:s} + for reverse in [False,True]: + got=replay_vector(prefix,q,reverse) + need(got==expected,'pivot column' if not reverse else 'pivot row') + totals.append({'q':[str(v) for v in q], 'pivot_scalar':[str(v) for v in s], 'row_coefficients':35,'column_coefficients':35}) + return totals + + +def reject(label,word): + try: + audit(word) + except ValueError as exc: + return {'control':label,'rejected_by':str(exc)} + raise ValueError('accepted mutant: '+label) + + +def main(): + old,new=map(Path,sys.argv[1:3]) + a=json.loads(old.read_text());b=json.loads(new.read_text()) + need(a['events'][:345]==b['events'][:345],'literal prefix unchanged') + results={'old':audit(a),'new':audit(b)} + controls=[] + bad=deepcopy(b);bad['events'][340][-1]='-1' + controls.append(reject('changed_middle_add_sign',bad)) + bad=deepcopy(b);bad['events'][0][-1]='1' + controls.append(reject('changed_input_basis_sign',bad)) + bad=deepcopy(b);bad['events'][0][2]=34 + controls.append(reject('fresh_input_read_before_handoff',bad)) + bad=deepcopy(b);bad['events'].insert(345,['ADD',0,4,'1']) + controls.append(reject('retired_input_reused_after_handoff',bad)) + # A true external cancellation keeps the prefix operator identical. + positive=deepcopy(b);positive['events'][5:5]=[['ADD',1,2,'1'],['ADD',1,2,'-1']] + for q in [O,(-F(1),F(0)),I,(F(0),-F(1))]: + for rev in [False,True]: + need(replay_vector(positive['events'][:347],q,rev)==replay_vector(b['events'][:345],q,rev),'cancelling ADD pair') + results.update(status='PASS_FOUR_FIBER_RETIREMENT_CUT',literal_shared_events=345,raw_shared_prefix_events=329,controls=controls,positive_control='cancelling ADD pair at cut input') + print(json.dumps(results,indent=2,sort_keys=True)) + +if __name__=='__main__':main() diff --git a/research/pr6551-retirement-audit/evidence/accounting-normal-run.json b/research/pr6551-retirement-audit/evidence/accounting-normal-run.json new file mode 100644 index 0000000000..a16840ef42 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/accounting-normal-run.json @@ -0,0 +1,16 @@ +{ + "command": [ + "/workspace/integer-mult-bounds/.venv/bin/python", + "-I", + "-B", + "/workspace/work/research-assignment/accounting/accounting.py", + "--predecessor", + "/workspace/work/research-assignment/inputs/pr6545/research/gaussian-root-retirement", + "--candidate", + "/workspace/work/research-assignment/inputs/pr6551/research/retirement-rebalanced-query-tree" + ], + "exit_code": 0, + "elapsed_seconds": 0.08144025599995075, + "child_maxrss_kib": 29436, + "stderr": "" +} diff --git a/research/pr6551-retirement-audit/evidence/accounting-optimized-run.json b/research/pr6551-retirement-audit/evidence/accounting-optimized-run.json new file mode 100644 index 0000000000..98a72a7c43 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/accounting-optimized-run.json @@ -0,0 +1,17 @@ +{ + "command": [ + "/workspace/integer-mult-bounds/.venv/bin/python", + "-I", + "-O", + "-B", + "/workspace/work/research-assignment/accounting/accounting.py", + "--predecessor", + "/workspace/work/research-assignment/inputs/pr6545/research/gaussian-root-retirement", + "--candidate", + "/workspace/work/research-assignment/inputs/pr6551/research/retirement-rebalanced-query-tree" + ], + "exit_code": 0, + "elapsed_seconds": 0.2041476980000425, + "child_maxrss_kib": 34592, + "stderr": "" +} diff --git a/research/pr6551-retirement-audit/evidence/external-corruptions.json b/research/pr6551-retirement-audit/evidence/external-corruptions.json new file mode 100644 index 0000000000..3a7aa3372d --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/external-corruptions.json @@ -0,0 +1,44 @@ +[ + { + "control": "caller-source", + "changed_path": "source/pr6551/CONTROLLER.json", + "command": [ + "python3", + "-I", + "-O", + "-B", + "PACKAGE/verify.py" + ], + "exit_code": 1, + "elapsed_seconds": 0.176312, + "last_error": "ValueError: source SHA256 source/pr6551/CONTROLLER.json" + }, + { + "control": "native-archive", + "changed_path": "source/pr6551/source.tar", + "command": [ + "python3", + "-I", + "-O", + "-B", + "PACKAGE/verify.py" + ], + "exit_code": 1, + "elapsed_seconds": 0.164813, + "last_error": "ValueError: source SHA256 source/pr6551/source.tar" + }, + { + "control": "claimed-receipt", + "changed_path": "RESULT.json", + "command": [ + "python3", + "-I", + "-O", + "-B", + "PACKAGE/verify.py" + ], + "exit_code": 1, + "elapsed_seconds": 0.637826, + "last_error": "ValueError: exact integrated scientific receipt" + } +] diff --git a/research/pr6551-retirement-audit/evidence/final-nested-source-check.json b/research/pr6551-retirement-audit/evidence/final-nested-source-check.json new file mode 100644 index 0000000000..d86ade5e6e --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/final-nested-source-check.json @@ -0,0 +1,18 @@ +[ + { + "name": "controller.py", + "nested_equal": true + }, + { + "name": "algebra.py", + "nested_equal": true + }, + { + "name": "ROOT.json", + "nested_equal": true + }, + { + "name": "NOTICE", + "nested_equal": true + } +] diff --git a/research/pr6551-retirement-audit/evidence/final-source-check.json b/research/pr6551-retirement-audit/evidence/final-source-check.json new file mode 100644 index 0000000000..d019a806ad --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/final-source-check.json @@ -0,0 +1,162 @@ +[ + { + "path": "source/pr6545/CONTROLLER.json", + "source_commit": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "source_path": "research/gaussian-root-retirement/CONTROLLER.json", + "git_show_status": 0, + "equal": true, + "sha256": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + { + "path": "source/pr6545/WITNESS.json", + "source_commit": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "source_path": "research/gaussian-root-retirement/WITNESS.json", + "git_show_status": 0, + 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"/workspace/work/research-assignment/inputs/pr6545/research/gaussian-root-retirement/CONTROLLER.json", + "/workspace/work/research-assignment/inputs/pr6551/research/retirement-rebalanced-query-tree/CONTROLLER.json" + ], + "exit_code": 0, + "seconds": 0.08694736299997885, + "max_rss_kib": 9728, + "stderr": "" + }, + { + "command": [ + "/workspace/integer-mult-bounds/.venv/bin/python", + "-I", + "-O", + "-B", + "/workspace/work/research-assignment/review/cut_four_fibers.py", + "/workspace/work/research-assignment/inputs/pr6545/research/gaussian-root-retirement/CONTROLLER.json", + "/workspace/work/research-assignment/inputs/pr6551/research/retirement-rebalanced-query-tree/CONTROLLER.json" + ], + "exit_code": 0, + "seconds": 0.17013517700002012, + "max_rss_kib": 13608, + "stderr": "" + } +] diff --git a/research/pr6551-retirement-audit/source/pr6398/NOTICE b/research/pr6551-retirement-audit/source/pr6398/NOTICE new file mode 100644 index 0000000000..03e4ac5937 --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6398/NOTICE @@ -0,0 +1,287 @@ +Mixed projector query root +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. No subagents. + +The new contribution is the normalized six-field root, its weighted binary +children, exact complete caller, full invoice and conditional bound. +The shortest central-involution query tuple is from the credited +five-call-projector-rigidity package by Ali Romman with OpenAI Codex. +The binary query extension is PR6348. The unchanged native source is PR6349. +The simple normalization identity is not claimed as a new general algebra theorem. +The native construction, scalar compression and inherited proof engines are +predecessor work. Their exact source notices follow. + +Source: research/balanced-query-tree/NOTICE + +Binary query-tree caller + +New construction, proof and code: Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. No subagents. + +Cinna Davis supplies the productive path caller, query thinning and exact Laurent factorization. Ali Romman supplies the all-forward P104 binding in PR5544 and the retained-operand word in PR6167. The native word and interval/compiler lineage remain predecessor work. The new contribution is the four-field query extension, its tree composition, complete invoice and conditional price. + +The authenticated PR6167 notice follows. + +Retained-operand descent: Ali Romman, with substantial OpenAI Codex assistance. +Apache-2.0. + +The exact source word and price are from DreamingOfClouds, PR6144 and PR6143, +with Claude Opus 5.5 (Anthropic), via Claude Code. They extend PR6030 and PR5907. +The source reader is adapted from that work. The gzip portability controls +retain Douglas Colkitt and Maxime Fleury credit. + +The pinned PR5827 checker and all earlier source notices are retained below. + +Unread-register path resynthesis +Copyright 2026 Ali Romman. Apache-2.0. + +New construction, code, calculations and prose: Ali Romman with substantial +OpenAI Codex assistance. No subagents. All new checks are author-side. + +Mason Hale supplied PR5811, the complete two-block composition and the exact +role92 remapping and fourth accumulation. The earlier elementary accumulation, +retained-copy and second-block work is by Ali Romman. Joel Pulikkan supplied +R22. Dugongue supplied the concurrent baseline composition proof. Their source +notice and proof are retained byte for byte under inputs/pr5811-*. + +The source closure retains flyingviper, Cinna Davis, David Arias, Gareth +Davidson, Jacob Alan Sussman, zxv, Cao Yifan, Pierre-Loic Doulcet, thu-nmrc, +Scratch-net and all native/helper/controller/compiler/geometry/analytic +predecessors. The exact PR5786 source archive and its nested notices remain. +This package does not claim any predecessor construction as new. + +Exact PR5811 vendor/accumulated/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +Accumulated native updates +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. The same assistant made the construction and the author checks. + +Concurrent scope: Discussion5125 now tests retained copies in the transposed +supplier. That route uses the same source/destination duality. This package +claims the three fixed forward-supplier groups and their complete result, +not the elementary accumulation identity or the broader transposed search. + +Exact source: PR5786 at 6b936acd68a7e0f9062037900f0fe9bc4b6fdd25. +The complete predecessor notice follows unchanged. + +Asynchronous helper hubs +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +Retained native copies from PR5774 at 7d6ec0cdef31d0c37b7d2563e709979caa0d5eae. +All prior credit follows unchanged. + +Paid intermediate meetings and collective helper splits. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. All checks are author-side calculations. + +The complete PR5718 notice follows unchanged. + +Four paid interior public-basis changes. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. + +The following exact notice is retained from PR5660. + +New helper-subspace construction, proof and replay: +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The same assistant performed the construction and author-side checks. + +Retained contributions: +flyingviper: PR5605 shared relay, PR5612 delayed relay, and the PR5608/PR5613 +relay/split compositions. +Scratch-net: PR5606 prepared-helper identities and target debit. +Pierre-Loic Doulcet (hexapode): PR5565 commuting-contact construction, used as the exact source. +Ali Romman: PR5602 fixed boundary relations, PR5601 three-contact frame +change, PR5580 contact step, +and PR5544/5545 complete P104 caller. +Joel Pulikkan (GamingPuzzled): PR5569 priced helper handoff. +DreamingOfClouds: PR5561 free helper endpoints and PR5568 search tools. +thu-nmrc: PR5551 contact improvements. +Gareth Davidson (bitplane): PR2305 source composition. +David Arias: PR2152 coalesced P104 word. +Cinna Davis: PR2219 private reuse and the controller lineage. +Jacob Alan Sussman: productive mixed-target recursion. +zxv and Cao Yifan: exact intervals, compiler and native/pricing lineage. +GamingPuzzled: PR5472 successor handoff, a predecessor to the split concept. +The retained source notices preserve earlier geometry, BIT and analytic credit. + +The elementary rank-one basis identity is not claimed as a new general +linear-algebra theorem. The contribution is its explicit independent-target +use on this P104 word and the complete conditional kappa improvement. + +New contribution: Ali Romman, with substantial OpenAI Codex assistance. +The four-gate source-version rewrite composes zxv PR5643 and Ali Romman PR5644. +The A2 method retains Chris R/Clear1nsight PR3998 and ToikY PR4019 credit. +The compensated triangle method retains Cinna Davis PR4692 credit. +No subagents were used for this contribution. Apache-2.0. + +Concurrent PR5650 by zxv publishes the PR5643/PR5644 composition. PR5651 by +Ali Romman corroborates it. This package credits that released composition +and contributes the further four-gate placement. + +New work: distributed scalar updates on an unobserved public field interval, the exact witness and complete conditional price. Prepared for Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. The source archive retains all predecessor notices. + +Two-boundary main-assisted helper split and early cleanup: flyingviper with substantial +OpenAI Codex assistance, including independent AI review agents. Apache-2.0. + +Retained native-copy construction +Prepared by Ali Romman with substantial OpenAI Codex assistance. No subagents. +The paid-meeting source is PR5751 by Ali Romman with OpenAI Codex assistance. +The dimension-four span [265,194,164,75] is from Joel Pulikkan / GamingPuzzled +PR5739, with Claude Opus 5.5 assistance. The R22 block edits are not included. +The retained-copy mechanism, exact constructor, source-specific verification, +new price and proof are the contribution of this package. Apache-2.0. + +Exact PR5811 vendor/blocks/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +The second block is PR5796 at4b30391e633ba0c7c674f03586ae97d443e9bc9c, by Ali Romman with substantial OpenAI Codex assistance, following Joel Pulikkan/GamingPuzzled R22. Exact notice, plan, proof and source words are retained in source/SECOND-* unchanged. + +The final immediate source is PR5786 asynchronous helper hubs by Ali Romman with substantial OpenAI Codex assistance. Its three temporal helper splits and complete completion parameters are retained and credited. The earlier PR5774-only composition is a superseded checkpoint, not a separate contribution. + +New complete retained-copy and R22 composition: Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. + +The thirteen retained native conversions and changed helper targets are by Ali Romman with OpenAI Codex assistance in PR5774. The R22 block and rank-four basis are by Joel Pulikkan (GamingPuzzled), with Claude Opus5.5 assistance, in PR5739/5756. The complete source archive and R22 notice remain unchanged. + +The construction retains Ali Romman PR5751 paid intermediate meetings, flyingviper PR5718 boundary splits, Cinna Davis's productive controller, Jacob Alan Sussman's productive recursion, zxv and Cao Yifan's interval/compiler line, and every P104/native/BIT predecessor in the source notices. The source engines are reused under exact byte bindings, not claimed as new implementations. + +Source: research/p104-native-input-lifting/NOTICE + +Native helper input lifting +Copyright 2026 Ali Romman. Apache-2.0. + +New construction, code, calculations and prose: Ali Romman with substantial +OpenAI Codex assistance. No subagents. All new checks are author checks. + +The direct source is PR6314 at 36533d4d1b4e2dd8672427461b12de3001b85810, +by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. +It compresses the scalar word of PR6167 without a kappa change. +The four native input lifts and their complete conditional price are new here. +The basis identity is elementary linear algebra; no new general theorem +for that identity is claimed. + +The PR6167 source notice follows unchanged. Its nested source archive also +retains the earlier notices. + +Retained-operand descent: Ali Romman, with substantial OpenAI Codex assistance. +Apache-2.0. + +The exact source word and price are from DreamingOfClouds, PR6144 and PR6143, +with Claude Opus 5.5 (Anthropic), via Claude Code. They extend PR6030 and PR5907. +The source reader is adapted from that work. The gzip portability controls +retain Douglas Colkitt and Maxime Fleury credit. + +The pinned PR5827 checker and all earlier source notices are retained below. + +Unread-register path resynthesis +Copyright 2026 Ali Romman. Apache-2.0. + +New construction, code, calculations and prose: Ali Romman with substantial +OpenAI Codex assistance. No subagents. All new checks are author-side. + +Mason Hale supplied PR5811, the complete two-block composition and the exact +role92 remapping and fourth accumulation. The earlier elementary accumulation, +retained-copy and second-block work is by Ali Romman. Joel Pulikkan supplied +R22. Dugongue supplied the concurrent baseline composition proof. Their source +notice and proof are retained byte for byte under inputs/pr5811-*. + +The source closure retains flyingviper, Cinna Davis, David Arias, Gareth +Davidson, Jacob Alan Sussman, zxv, Cao Yifan, Pierre-Loic Doulcet, thu-nmrc, +Scratch-net and all native/helper/controller/compiler/geometry/analytic +predecessors. The exact PR5786 source archive and its nested notices remain. +This package does not claim any predecessor construction as new. + +Exact PR5811 vendor/accumulated/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +Accumulated native updates +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. The same assistant made the construction and the author checks. + +Concurrent scope: Discussion5125 now tests retained copies in the transposed +supplier. That route uses the same source/destination duality. This package +claims the three fixed forward-supplier groups and their complete result, +not the elementary accumulation identity or the broader transposed search. + +Exact source: PR5786 at 6b936acd68a7e0f9062037900f0fe9bc4b6fdd25. +The complete predecessor notice follows unchanged. + +Asynchronous helper hubs +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +Retained native copies from PR5774 at 7d6ec0cdef31d0c37b7d2563e709979caa0d5eae. +All prior credit follows unchanged. + +Paid intermediate meetings and collective helper splits. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. All checks are author-side calculations. + +The complete PR5718 notice follows unchanged. + +Four paid interior public-basis changes. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. + +The following exact notice is retained from PR5660. + +New helper-subspace construction, proof and replay: +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The same assistant performed the construction and author-side checks. + +Retained contributions: +flyingviper: PR5605 shared relay, PR5612 delayed relay, and the PR5608/PR5613 +relay/split compositions. +Scratch-net: PR5606 prepared-helper identities and target debit. +Pierre-Loic Doulcet (hexapode): PR5565 commuting-contact construction, used as the exact source. +Ali Romman: PR5602 fixed boundary relations, PR5601 three-contact frame +change, PR5580 contact step, +and PR5544/5545 complete P104 caller. +Joel Pulikkan (GamingPuzzled): PR5569 priced helper handoff. +DreamingOfClouds: PR5561 free helper endpoints and PR5568 search tools. +thu-nmrc: PR5551 contact improvements. +Gareth Davidson (bitplane): PR2305 source composition. +David Arias: PR2152 coalesced P104 word. +Cinna Davis: PR2219 private reuse and the controller lineage. +Jacob Alan Sussman: productive mixed-target recursion. +zxv and Cao Yifan: exact intervals, compiler and native/pricing lineage. +GamingPuzzled: PR5472 successor handoff, a predecessor to the split concept. +The retained source notices preserve earlier geometry, BIT and analytic credit. + +The elementary rank-one basis identity is not claimed as a new general +linear-algebra theorem. The contribution is its explicit independent-target +use on this P104 word and the complete conditional kappa improvement. + +New contribution: Ali Romman, with substantial OpenAI Codex assistance. +The four-gate source-version rewrite composes zxv PR5643 and Ali Romman PR5644. +The A2 method retains Chris R/Clear1nsight PR3998 and ToikY PR4019 credit. +The compensated triangle method retains Cinna Davis PR4692 credit. +No subagents were used for this contribution. Apache-2.0. + +Concurrent PR5650 by zxv publishes the PR5643/PR5644 composition. PR5651 by +Ali Romman corroborates it. This package credits that released composition +and contributes the further four-gate placement. + +New work: distributed scalar updates on an unobserved public field interval, the exact witness and complete conditional price. Prepared for Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. The source archive retains all predecessor notices. + +Two-boundary main-assisted helper split and early cleanup: flyingviper with substantial +OpenAI Codex assistance, including independent AI review agents. Apache-2.0. + +Retained native-copy construction +Prepared by Ali Romman with substantial OpenAI Codex assistance. No subagents. +The paid-meeting source is PR5751 by Ali Romman with OpenAI Codex assistance. +The dimension-four span [265,194,164,75] is from Joel Pulikkan / GamingPuzzled +PR5739, with Claude Opus 5.5 assistance. The R22 block edits are not included. +The retained-copy mechanism, exact constructor, source-specific verification, +new price and proof are the contribution of this package. Apache-2.0. + +Exact PR5811 vendor/blocks/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +The second block is PR5796 at4b30391e633ba0c7c674f03586ae97d443e9bc9c, by Ali Romman with substantial OpenAI Codex assistance, following Joel Pulikkan/GamingPuzzled R22. Exact notice, plan, proof and source words are retained in source/SECOND-* unchanged. + +The final immediate source is PR5786 asynchronous helper hubs by Ali Romman with substantial OpenAI Codex assistance. Its three temporal helper splits and complete completion parameters are retained and credited. The earlier PR5774-only composition is a superseded checkpoint, not a separate contribution. + +New complete retained-copy and R22 composition: Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. + +The thirteen retained native conversions and changed helper targets are by Ali Romman with OpenAI Codex assistance in PR5774. The R22 block and rank-four basis are by Joel Pulikkan (GamingPuzzled), with Claude Opus5.5 assistance, in PR5739/5756. The complete source archive and R22 notice remain unchanged. + +The construction retains Ali Romman PR5751 paid intermediate meetings, flyingviper PR5718 boundary splits, Cinna Davis's productive controller, Jacob Alan Sussman's productive recursion, zxv and Cao Yifan's interval/compiler line, and every P104/native/BIT predecessor in the source notices. 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"mixed-projector-query-root/2", + "children": [ + [ + [ + 1, + [ + 1, + 1 + ] + ], + [ + [ + 1, + 1 + ], + [ + 1, + 1 + ] + ] + ], + [ + 1, + 1 + ], + [ + 1, + 1 + ], + [ + [ + 1, + [ + 1, + 1 + ] + ], + [ + [ + 1, + 1 + ], + [ + 1, + 1 + ] + ] + ] + ], + "child_sizes": [ + 7, + 2, + 2, + 7 + ] +} diff --git a/research/pr6551-retirement-audit/source/pr6398/algebra.py b/research/pr6551-retirement-audit/source/pr6398/algebra.py new file mode 100644 index 0000000000..a06d6f6416 --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6398/algebra.py @@ -0,0 +1,74 @@ +"""Exact rational matrices and coefficients in Q(i). + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from fractions import Fraction as Q + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def matrix(rows): + return [[Q(x) for x in row] for row in rows] + + +def eye(n): + return matrix([[int(i == j) for j in range(n)] for i in range(n)]) + + +def multiply(a, b): + return [[sum(x*y for x, y in zip(row, column)) for column in zip(*b)] for row in a] + + +def add(a, b, scale=1): + return [[x+scale*y for x, y in zip(row, other)] for row, other in zip(a, b)] + + +def inverse(a): + n = len(a) + rows = [row[:] + identity for row, identity 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 rational matrix') + rows[j], rows[k] = rows[k], rows[j] + v = rows[j][j] + rows[j] = [x/v for x in rows[j]] + for k in range(n): + if k != j: + v = rows[k][j] + rows[k] = [x-v*y for x, y in zip(rows[k], rows[j])] + return [row[n:] for row in rows] + + +def coefficient(x): + return (Q(x), Q(0)) + + +def zadd(a, b): + return a[0]+b[0], a[1]+b[1] + + +def zmul(a, b): + return a[0]*b[0]-a[1]*b[1], a[0]*b[1]+a[1]*b[0] + + +def accumulate(dst, src, c=(Q(1), Q(0))): + for key, value in src.items(): + value = zadd(dst.get(key, (Q(0), Q(0))), zmul(c, value)) + if value != (0, 0): + dst[key] = value + else: + dst.pop(key, None) + + +def shifted(row, term): + result = [] + for cell in row: + target = {} + for key, value in cell.items(): + new = ((key[0]+term[0]) % 4,) + tuple(a+b for a, b in zip(key[1:], term[1:])) + accumulate(target, {new: value}) + result.append(target) + return result diff --git a/research/pr6551-retirement-audit/source/pr6398/controller.py b/research/pr6551-retirement-audit/source/pr6398/controller.py new file mode 100644 index 0000000000..393524f903 --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6398/controller.py @@ -0,0 +1,223 @@ +"""Emit the mixed projector root and its paid binary query suppliers. + +The binary child emitter is adapted from PR6348. Cinna Davis supplies the +native and thin-query interface. Ali Romman with OpenAI Codex assistance. +Apache-2.0. All ordinary normalization occurs outside tensor powers. +""" +from collections import Counter +from copy import deepcopy +from hashlib import sha256 +from pathlib import Path +import json + +from algebra import Q, accumulate, coefficient, eye, matrix, need, shifted, zmul + +HERE = Path(__file__).resolve().parent + + +def construct(): + data = json.loads((HERE/'ROOT.json').read_text()) + events, targets, nodes = [], {}, [] + stage, next_role = 0, 6 + + def emit(op, *args): + events.append([op, *args]) + + def mix(rows): + a = matrix(rows) + ops = [] + for j in range(6): + # A unit in the dyadic ring keeps every emitted scale dyadic. + pivots = [k for k in range(j, 6) if a[k][j] + and abs(a[k][j].numerator) & (abs(a[k][j].numerator)-1) == 0] + need(pivots, 'Each declared basis has a dyadic unit pivot') + k = pivots[0] + if k != j: + a[j], a[k] = a[k], a[j] + ops.append(['SWAP', j, k]) + c = 1/a[j][j] + if c != 1: + a[j] = [x*c for x in a[j]] + ops.append(['SCALE', j, str(c)]) + for k in range(6): + if k != j and a[k][j]: + c = -a[k][j] + a[k] = [x+c*y for x, y in zip(a[k], a[j])] + ops.append(['ADD', k, j, str(c)]) + need(a == eye(6), 'Complete scalar basis elimination') + for e in reversed(ops): + if e[0] == 'SCALE': + e[-1] = str(1/Q(e[-1])) + elif e[0] == 'ADD': + e[-1] = str(-Q(e[-1])) + emit(*e) + + def label(tree): + nonlocal stage + if tree == 1: + stage += 1 + return {'stage': stage, 'stages': [stage]} + left, right = map(label, tree) + return {'left': left, 'right': right, 'stages': left['stages']+right['stages']} + + roots = [label(t) for t in data['children']] + + def supplier(tree, x, y, exponent): + nonlocal next_role + if 'stage' in tree: + if exponent == -1: + emit('Q_POWER', x, -2) + emit('SWAP', x, y) + emit('LOCAL', tree['stage'], x, y) + emit('SWAP', x, y) + if exponent == -1: + emit('Q_POWER', x, 2) + return + a, b = next_role, next_role+1 + next_role += 2 + stages = tree['stages'] + nodes.append({'roles': [a, b], 'stages': stages, 'exponent': exponent}) + emit('SWAP', x, b) + emit('SWAP', y, a) + emit('SWAP', a, b) + emit('ADD', x, a, 1) + emit('ADD', b, y, -1) + emit('QUERY', a, b, -exponent) + emit('ADD', b, y, 1) + emit('ADD', x, a, -1) + emit('IDLE', a, b, stages) + emit('SCALE', y, -1) + supplier(tree['left'], y, x, -exponent) + emit('SCALE', y, -1) + supplier(tree['right'], x, y, exponent) + emit('ADD', x, a, 1) + emit('SCALE', a, -1) + emit('ADD', a, x, 1) + emit('SWAP', y, b) + emit('SCALE', b, -1) + emit('ADD', b, y, 1) + targets[a], targets[b] = (-exponent, stages), (exponent, stages) + + mix(data['input_basis']) + full_index = 0 + for site in data['sites']: + mix(site['inverse']) + # lambda=(1+i)/2+(1-i)*q^2/2, q=Q^-1. Its square is q^2. + emit('LAMBDA', 0, -1) + if site['full']: + tree = roots[full_index] + full_index += 1 + supplier(tree, 0, 1, 1) + for r in range(2, site['stage_rank']): + emit('IDLE_ONE', r, tree['stages']) + else: + emit('QUERY', 0, 1, -1) + emit('LAMBDA', 0, 1) + emit('ADD', 0, 1, -1) + mix(site['basis']) + mix(data['output_basis']) + for r, mask in enumerate(data['masks']): + emit('LAMBDA', r, -1) + selected = [s for bit, tree in zip(mask, roots) if bit for s in tree['stages']] + targets[r] = (-1, selected) + need(stage == 18 and next_role == 34, 'Complete mixed-root dimensions') + diagonal = [[targets[r][0], 0]+[int(s in targets[r][1]) for s in range(1, stage+1)] + for r in range(next_role)] + return {'schema': 'mixed-projector-query-root/2', 'roles': next_role, + 'stages': stage, 'ambient_rank': 9+8*stage, 'nodes': nodes, + 'events': events, 'diagonal': diagonal} + + +def replay(word): + n, width = word['roles'], word['stages']+2 + zero = (0,)*width + rows = [[{zero: coefficient(1)} if i == j else {} for j in range(n)] for i in range(n)] + seen = [] + for event in word['events']: + op = event[0] + if op == 'ADD': + _, dst, src, c = event + for a, b in zip(rows[dst], rows[src]): + accumulate(a, b, coefficient(c)) + elif op == 'SCALE': + _, dst, c = event + rows[dst] = [{key: zmul(coefficient(c), value) for key, value in cell.items()} + for cell in rows[dst]] + elif op == 'SWAP': + _, a, b = event + rows[a], rows[b] = rows[b], rows[a] + elif op in ('LOCAL', 'QUERY'): + if op == 'LOCAL': + _, stage, src, dst = event + exponent = -1 + seen.append(stage) + else: + _, dst, src, exponent = event + term = (exponent,)+(0,)*(width-1) + for a, b in zip(rows[dst], shifted(rows[src], term)): + accumulate(a, b) + if op == 'LOCAL': + term = (0,)+tuple(int(s == stage) for s in range(width-1)) + for r in (src, dst): + rows[r] = shifted(rows[r], term) + elif op == 'Q_POWER': + _, r, exponent = event + need(exponent in (-2, 2), 'Only even powers are ordinary translations') + rows[r] = shifted(rows[r], (exponent,)+(0,)*(width-1)) + elif op == 'LAMBDA': + _, r, sign = event + need(sign in (-1, 1), 'Unitary normalization or its inverse') + old = rows[r] + other = shifted(old, (2,)+(0,)*(width-1)) + rows[r] = [{} for _ in range(n)] + for dst, a, b in zip(rows[r], old, other): + accumulate(dst, a, (Q(1,2), Q(sign,2))) + accumulate(dst, b, (Q(1,2), Q(-sign,2))) + elif op in ('IDLE', 'IDLE_ONE'): + roles, stages = (event[1:3], event[3]) if op == 'IDLE' else ([event[1]], event[2]) + need(len(stages) == len(set(stages)), 'Distinct whole-idle stages') + term = (0,)+tuple(int(s in stages) for s in range(width-1)) + for r in roles: + rows[r] = shifted(rows[r], term) + else: + raise ValueError('Unknown caller opcode: '+op) + expected = [[{(word['diagonal'][i][0] % 4,)+tuple(word['diagonal'][i][1:]): coefficient(1)} + if i == j else {} for j in range(n)] for i in range(n)] + need(sorted(seen) == list(range(1, word['stages']+1)), 'Every native stage exactly once') + need(rows == expected, 'Every Q(i)[Q,D]/(Q^4-1) endpoint coefficient') + return {'inputs': n, 'coefficients': n*n, 'native_stages': len(seen), + 'events': len(word['events']), 'event_sha256': sha256(json.dumps(word['events'],separators=(',',':')).encode()).hexdigest()} + + +def controls(word): + result = {} + for op in ['LOCAL', 'QUERY', 'IDLE', 'IDLE_ONE', 'LAMBDA', 'Q_POWER']: + bad = deepcopy(word) + del bad['events'][next(i for i,e in enumerate(bad['events']) if e[0] == op)] + try: + replay(bad) + except ValueError as error: + result['missing_'+op.lower()] = str(error) + else: + raise ValueError('Mutation accepted: '+op) + return result + + +def formula_invoice(local): + targets = Counter({r: 18*n for r,n in local['helpers'].items()}) + paid = Counter({r: 18*n for r,n in local['paid'].items()}) + paid[1] += 17*104 + # Four child trees: 7, 2, 2 and 7 leaves. + for size, count in {2:8, 3:2, 4:2, 7:2}.items(): + targets[1+8*size] += 208*count + paid[8*size] += 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b/research/pr6551-retirement-audit/source/pr6545/NOTICE @@ -0,0 +1,25 @@ +New Gaussian retirement construction, proof, caller checks and package: +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +No subagents or independent scientific review are claimed. + +Retained sources are byte-exact in native-source.tar and engines.tar. +RETAINED.json records every original path, head, Git blob and SHA256. +Original source headers, proof files and notices remain in the archives. + +https://github.com/CrocSwap/integer-mult-bounds/pull/5599 +The independent causal handoff and productive helper method; retain the +PR5602/5611/5615 basis and dyadic-completion lineage. +https://github.com/CrocSwap/integer-mult-bounds/pull/6398 +Ali Romman's mixed projector root, based on PR6348 and the retained native, +query, productive recursion, interval, compiler and outer proof sources. +https://github.com/CrocSwap/integer-mult-bounds/pull/6529 +Ali Romman's scaled transport fusion. Predecessors include Rohan Arun's +PR6399/6417, Erwan L.'s PR6453, DreamingOfClouds' PR6375, and PR6353/6372. +https://github.com/CrocSwap/integer-mult-bounds/pull/6524 +Ali Romman's explicit complete replay interfaces. Native sources retain +David Arias, Cinna Davis, Gareth Davidson and earlier contributor credit. +Integer interval work retains ywz65 and Nick Petalas credit. + +Other retained contributors include Jacob Alan Sussman, Mason Hale, +Pierre-Loic Doulcet, Chris R / Clear1nsight, zxv and Cao Yifan. +The exact archive notices provide the complete retained source attribution. diff --git a/research/pr6551-retirement-audit/source/pr6545/PROOF.md b/research/pr6551-retirement-audit/source/pr6545/PROOF.md new file mode 100644 index 0000000000..3901c21d02 --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6545/PROOF.md @@ -0,0 +1,130 @@ +# A Gaussian output before the suffix + +## 1. Exact source and claim + +The native source is PR6529 at +`44b0d0e8961201ac1656490b4384a7752e1cd9c5`. Its caller is the PR6398 +34-field word. Number events from zero. Let P be its prefix through event 328, +`QUERY 20 21 -1`. Let q denote the central Gaussian Q in the replay. +All 18 stage variables D_j commute with q and with one another. + +Set + +```text +λ = (1+i)/2 + (1-i)q²/2, +S = λ q⁻¹. +``` + +Then λ⁻¹ is its complex conjugate, λ² = q², and S² = 1. Thus λ and its +inverse are ordinary linear combinations of the identity and the ordinary +translation q². The retained physical checker verifies the translation and +its absolute phase. These ordinary scalars stay outside tensor powers. + +Fields 4, 20 and 21 have the same two-stage factor D = D_10 D_11. An even +central translation and λ normalize all three complete outputs to S D. +The other fields keep their source targets. All input fields are arbitrary. + +## 2. Two exact dual pairs + +Use row vectors a,c and column vectors b,d: + +```text +a = e1ᵀ - 2e2ᵀ - λe20ᵀ + e21ᵀ, +b = -e2 - e21, +c = e20ᵀ - e4ᵀ, +d = -λ⁻¹e21 - e4. +``` + +The identities are + +```text +ab = cd = 1, aP = Sc, Pd = Sb. +``` + +`check_caller.py` checks both pairings and both prefix identities over the full +central polynomial ring. It does not specialize q² to one or test only numeric +values of the D_j. + +Let G and J be the literal ordinary basis words in `WITNESS.json`. The checker +also verifies + +```text +e4ᵀG = c, Gd = e4, +e4ᵀJ = a, Jb = e4. +``` + +Every gate is invertible. ADD coefficients are dyadic; SCALE uses a dyadic +unit; λ has the stated ordinary inverse. G acts only on fields 4,20,21. + +## 3. Separate the completed Gaussian from the remaining work + +Apply G⁻¹ at the input. At the cut, apply J. The pivot row and column of +`JPG⁻¹` are both exactly `S e4`. Therefore the pivot has no coupling to the +other inputs or outputs at this cut. In block form, the prefix is `S ⊕ K`. + +Let F be the complete source diagonal after the three output normalizations. +Since G mixes only equal S D targets, G commutes with F. Apply G at the output. +The complete map remains `GFG⁻¹ = F`. The suffix after J must therefore have +pivot block D and zero coupling to the other fields: its pivot block times S +is S D. This uses S²=1 and the exact arbitrary-input source identity. + +Return the completed pivot output. Give the suffix a new independent input in +field 34. In the literal word, rename pivot 4 to 34 in J⁻¹ and every later gate, +including the output basis. Other fields still pass through K and its matching +suffix. This is a direct sum of two independent targets, S and D, in place of +one S D target. It is not a copy of one input to two output targets. + +Finally apply λ⁻¹ to the three original group fields. The returned pivot has +target q⁻¹. The new field has target D_10 D_11. The complete 35-field word has +609 events. Both full forward replay and an independent reverse-row replay +check every one of its 1,225 coefficient positions. Deletion, sign and target +mutations reject the claimed identity. + +## 4. Physical maps and all costs + +For each of the 104 ports, the central q axis is orthogonal to the two fresh +8-axis stage blocks. The old Gaussian target has rank 17. The returned q⁻¹ +target has rank 1 after an ordinary q² translation. The fresh target has rank 16 +and no central factor. The physical checker compares complete phase polynomials, +including the absence of that central factor. It checks every port. + +At each positive tensor width f, substitute q tensor f and D_j tensor f in +the same ring identity. Define the ordinary normalizer from the square of +that central operator. Do not tensor its scalar coefficients. The two new +Gaussian ranks are f and 16f. This retains the source tensor convention and +its framework assumptions. + +The ordered full-stage calls, thin-query signs, and whole-idle stage sets stay +fixed. Only some role names change. Every native call still receives arbitrary +inputs and fresh independent helper fields. All 67,096 paid jobs and all native +helper credits stay in the source invoice. The productive change is exactly + +```text +104(H1 + H16 - H17). +``` + +For H_r=r^t and 0H17. Rank mass stays +fixed. The gain comes from independent outputs, not from a larger rank count. +The total productive-field count becomes 13,756. + +The caller has one extra public field per port. The native owned inventory is +unchanged: 29 labels, 45 lifetimes, peak 13. The complete ordinary-work upper +bound is 254,699,248, below the retained 10^9 allowance. It includes every scalar +basis gate, central normalization, route and output adapter. The coefficient, +storage, growth and precision estimates remain explicit in `pricing.py`. + +## 5. Conditional κ and the fixed invoice limit + +Two rational engines certify the positive complete moment at the tested saving +0.003293945. They independently certify both signs of the raw bracket stated +in the README. A negative derivative bound gives a unique crossing through the +retained BIT range. The old caller fails at the new claim in both engines. + +The productive recursion, completion tails, uniform compiler threshold and all +outer inequalities are checked with the enlarged target count. The result is +conditional κ=0.00329394 under the same five framework assumptions. No selected +frontier change or independent scientific acceptance follows from this replay. + +The fixed invoice cannot reach the current 1% target 0.00332118199. A larger +result must change the caller, source word or another charged interface. More +digits of this crossing do not provide that change. diff --git a/research/pr6551-retirement-audit/source/pr6545/RESULT.json b/research/pr6551-retirement-audit/source/pr6545/RESULT.json new file mode 100644 index 0000000000..3bcf9f740b --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6545/RESULT.json @@ -0,0 +1,316 @@ +{ + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "candidate": { + "caller": { + "coefficients": 1225, + "event_sha256": "e30e87523bfe8dcf009843965a617a664a1ce802850bb07ac2ca198fa818a124", + "events": 609, + "inputs": 35, + "native_stages": 18 + }, + "complete_cost": { + "compiler": { + "H": 138100200000000, + "N": "2^138100200000000", + "eta": { + "lower": "0.000000000000021343548942378562", + "upper": "0.000000000000021343548942378563" + }, + "gap": "1/1400000000", + "integer_test_exponent": 98643, + "logarithm_power": 2100, + "theta": "63/64", + "uniform_saving": "2305761/700000000", + "word_materialized": false + }, + "derivative_upper": "-709185992340617917271102325360006905223896764960473050137748773/3138550867693340381917894711603833208051177722232017256448", + "full_forward_calls": 18, + "gain": "5641/1000000000", + "kappa": "164697/50000000", + "kappa_decimal": "0.00329394", + "margin_at_previous": { + "lower": "1.294383344079915739634444114064", + "upper": "1.294383344079915739634444114065" + }, + "negative_controls": { + "coarse_tail": "The block tail bound cannot fund this near-limit claim.", + "old_BIT": "An outer inequality fails at BIT saving0.0027.", + "old_completion": "Cutoff16 and floor17 give a ratio above one." + }, + "nonrecursive": { + "local_routes": 5384000, + "local_scalar": 137218, + "paid_rank_mass": 184962, + "peak_owned_fields": 13, + "raw_budget": 1000000000, + "raw_scalar_upper": 254699248, + "scalar_growth_bound": "At most 2^(10^9 + R*f), where R is the full paid rank mass." + }, + "ordinary_BIT": { + "admitted": "17/5000", + "after_cover": "69/20000", + "atom": "1/250", + "before_cover": "3459/1000000", + "ordinary_saving": "8590884599/2500000000000", + "prime_rule": "odd q > 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999253/350000000000", + "fixed_halo_explicit_metadata_branch": "26950000001/350000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799997009/1400000000000", + "new_semantic_group_guard": "3/1400000000" + }, + "margins": { + "boundary_algebraic_matrix": "6456127995388481/1960000000000000000", + "fused_gaussian": "6456127986165443/1960000000000000000", + "global_coordinate_router": "14411/4375000", + "group_bit_router": "20175404331767/6125000000000000", + "group_scans": "699999999/700000000", + "main_transform": "6456126595388481/1960000000000000000", + "microbox_face_corrections": "26950000001/350000000", + "polynomial_products": "1399999999/1400000000", + "sparse_union_movement": "802706127995388481/1960000000000000000" + }, + "parameters": { + "a": "14411/4375000", + "b": "4611521/1400000000", + "beta": "1399999997/1400000000", + "bit_saving": "17/5000", + "cap_xi": "1782706126595388481/1960000000000000000", + "complex_uniform_saving": "2305761/700000000", + "d": "1/1400000000", + "epsilon": "1399999999/1400000000", + "kappa": "164697/50000000", + "lambda_": "398682423/400000000", + "lambda_prime": "1395388481/1400000000", + "layout": "1/1400000000", + "q": "4611519/1400000000", + "r0": "1/14000000000", + "stop": "1/1400000000", + "tested_saving": "658789/200000000" + }, + "strict_checks": { + "actual_bit_above_effective": "58/546875", + "actual_logarithmic_gamma_guard": "1/1400000000", + "actual_logarithmic_group_guard": "177293875504611519/980000000000000000", + "alpha_logarithm_absorption": "1/14000000000", + "boundary_algebraic_matrix_above_kappa": "5595388481/1960000000000000000", + "cap_above_band": "802706126595388481/1960000000000000000", + "cap_below_cell": "177293872004611519/1960000000000000000", + "cap_below_phase_cell_power": "2137293873404611519/1960000000000000000", + "complex_above_effective": "1/1400000000", + "complex_below_one_over_32": "39138479/1400000000", + "complex_endpoint": "1/700000000", + "epsilon_below_one": "1/1400000000", + "epsilon_positive": "1399999999/1400000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586165443/1960000000000000000", + "gaussian_above_main": "695388481/980000000000000000", + "global_coordinate_router_above_kappa": "1/350000000", + "global_gamma_power_slack": "9/14000000000", + "group_below_dimension": "1/700000000", + "group_bit_router_above_kappa": "21831767/6125000000000000", + "group_gauge_power_slack": "177293875434611519/980000000000000000", + "group_key_fits_record": "1/700000000", + "group_positive": "1399999997/1400000000", + "group_scans_above_kappa": "697694241/700000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "781484790400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000", + "lambda_above_sigma": "3/2800000000", + "lambda_above_tau": "1/2800000000", + "lambda_prime_above_lambda": "1/2800000000", + "lambda_prime_above_leaf": "2795388479/1960000000000000000", + "leaf_saving_above_effective": "1395388479/1960000000000000000", + "main_transform_above_kappa": "4195388481/1960000000000000000", + "membership_arithmetic_fits_record": "1/1400000000", + "microbox_face_corrections_above_kappa": "13474423561/175000000", + "microbox_halo_volume": "110600000003/1400000000", + "new_complex_uniform_saving_above_b": "1/1400000000", + "new_semantic_guard_with_C1_one": "1/1400000000", + "polynomial_products_above_kappa": "1395388483/1400000000", + "positive_layout_slack": "1/1400000000", + "q_below_effective": "1/1400000000", + "q_below_internal": "1/1400000000", + "q_below_leaf": 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a/research/pr6551-retirement-audit/source/pr6551/ADAPTERS.json b/research/pr6551-retirement-audit/source/pr6551/ADAPTERS.json new file mode 100644 index 0000000000..f934706771 --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6551/ADAPTERS.json @@ -0,0 +1,76 @@ +{ + "driver": [ + [ + "def run(write=False):", + "def run(write=False, extension=None):" + ], + [ + "result=driver.run(services=services,extension=candidate)", + "result=driver.run(services=services,extension=candidate if extension is None else extension(candidate))" + ] + ], + "controller": [ + [ + "def construct():", + "def construct(data=None):" + ], + [ + " data = json.loads((HERE/'ROOT.json').read_text())", + " if data is None:\n data = json.loads((HERE/'ROOT.json').read_text())" + ] + ], + "pricing": [ + [ + "from controller import formula_invoice, need", + "from tree_invoice import formula_invoice, need" + ], + [ + "KAPPA = Q('0.00329394')", + "KAPPA = Q('0.00329492')" + ], + [ + "TESTED = Q('0.003293945')", + "TESTED = Q('0.003294925')" + ], + [ + "PREVIOUS = Q('0.003288299')", + "PREVIOUS = Q('0.00329394')" + ], + [ + "expected_targets.update({1:104,16:104,17:-104})", + "expected_targets.update({1:104,40:104,41:-104})" + ], + [ + "Independent tree, retirement delta and emitted-event counts", + "Independent rebalanced tree, retirement delta and emitted-event counts" + ], + [ + "'kappa_decimal': '0.00329394'", + "'kappa_decimal': '0.00329492'" + ], + [ + "Independent Gaussian retirement changes the complete productive profile.", + "Rebalance the last two binary children under the fixed Gaussian retirement." + ], + [ + "It includes all nine output contractions and their productive target debits.", + "It includes all nine output contractions and their productive target debits.\nThis adaptation changes the last two child trees under the PR6545 retirement." + ], + [ + "reserve, decay = Q(1, 10**29), Q(31, 32)", + "reserve, decay = Q(1, 10**27), Q(97, 100)" + ], + [ + "need(alpha[1] < 1-reserve 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Apache-2.0. +No subagents or independent scientific acceptance are claimed. + +The exact executable source is retained in source.tar at original head +775722aa94a5e85b05d1d704d7dca10cbf016f0c (PR6545). +RETAINED.json binds original paths, Git blobs and SHA256 values. Original +source headers, proofs and notices remain unchanged. ADAPTERS.json records +all changes to the source drivers, constructor and price. Runtime driver +and constructor copies are created in a private temporary directory. + +PR6545: independent Gaussian retirement, exact dual pairs and complete caller. +PR5599/5602/5611/5615: causal handoff, productive helper and basis methods. +PR6348/6398: binary query suppliers and the six-field mixed root. +PR6529: scaled transport fusion and the complete native word. +PR6524: explicit complete replay interfaces. + +Credit Rohan Arun's PR6399/6417, Erwan L.'s PR6453, DreamingOfClouds' PR6375, +PR6353/6372 and all retained native predecessors. Native work retains +Cinna Davis, David Arias, Gareth Davidson and their predecessors. Productive +recursion retains Jacob Alan Sussman's credit. Price and interval work +retains zxv, Cao Yifan, ywz65 and Nick Petalas's credit. + +Other retained contributors include Mason Hale, Pierre-Loic Doulcet and +Chris R / Clear1nsight. The source archive and its nested notices retain +the complete native, helper, compiler and analytic source attribution. diff --git a/research/pr6551-retirement-audit/source/pr6551/PROOF.md b/research/pr6551-retirement-audit/source/pr6551/PROOF.md new file mode 100644 index 0000000000..2db35d993c --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6551/PROOF.md @@ -0,0 +1,147 @@ +# A strict concave gain from a different child allocation + +## 1. Exact source and change + +Use PR6545 at `775722aa94a5e85b05d1d704d7dca10cbf016f0c` as the comparison. +It uses the PR6398 mixed root and the exact PR6529 native word. Its four +binary children have 7, 2, 2 and 7 leaves. Each leaf consumes one native call. +The source package, proof and executable checks are retained without change. + +Replace only the last two trees. The new four trees are + +```text +A = [[1,[1,1]],[[1,1],[1,1]]] (7 leaves) +B = [1,1] (2 leaves) +C = [[1,1],[1,[1,1]]] (5 leaves) +D = [[1,1],[1,1]] (4 leaves). +``` + +The symbols A, B, C and D also denote the products of the fresh stage +variables of these children. All 18 variables are distinct. The six-field +root, its scalar bases and its stage masks are unchanged. The retained binary +identity supplies each child. Full polynomial replay also checks the emitted +34-field word directly, for every input coefficient. + +## 2. The same independent retirement still applies + +Number events from zero. The prefix through event 328, `QUERY 20 21 -1`, is +byte-for-byte the same event list as in the old caller. The first two children +are unchanged. At that cut, the third child has not started its stage calls. +Its first binary query has the same operands and sign. + +Fields 4, 20 and 21 still have the same complete stage product C. Here + +```text +C = D10 D11 D12 D13 D14. +``` + +Their central signs normalize exactly as in PR6545. Put + +```text +lambda = (1+i)/2 + (1-i)q^2/2, +S = lambda q^(-1), S^2 = 1. +``` + +The old dual pairs and ordinary bases G and J depend only on the unchanged +prefix and the three field labels. Their identities remain + +```text +ab = cd = 1, aP = Sc, Pd = Sb, +e4^T G = c, Gd = e4, e4^T J = a, Jb = e4. +``` + +The verifier checks all these identities over the full central polynomial +ring. It does not set `q^2=1` or specialize the stage variables. + +The proof in PR6545 now applies with this five-stage C. G mixes only three +equal normalized targets SC, so it commutes with the complete target map. +At the cut, the pivot row and column are S and have no coupling to the other +fields. The matching suffix block is C. Return the completed pivot input +with output S; give the suffix a fresh independent input. Rename its pivot +to field 34. The final ordinary normalizer gives outputs `q^(-1)` and C. +All other independent inputs keep their prescribed outputs. + +Thus the retirement replaces one rank-41 target by independent rank-1 and +rank-40 targets on each of 104 ports. It does not copy one input into two +productive targets. The complete 35-field word has 611 events. Forward and +reverse checks independently cover all 1,225 coefficient positions. + +At positive tensor width f, use the retained factorwise native convention. +The ordinary scalar coefficients stay outside tensor powers. The new two +target ranks are f and 40f. The physical checker verifies the central signs, +fresh orthogonal axes and all port maps. The inherited all-width and +precision contracts remain assumptions of the conditional result. + +## 3. Complete signed invoice + +Let H_r denote one Gaussian target or paid job of rank r. A binary node with +k leaves adds 208 targets of rank `8k+1` and pays 208 jobs of rank `8k`. +The four old trees have internal-node counts + +```text +{2:8, 3:2, 4:2, 7:2}. +``` + +The new counts are + +```text +{2:8, 3:2, 4:2, 5:1, 7:1}. +``` + +Hence one seven-leaf node becomes a five-leaf node in the complete count. +All 18 native calls, their helper targets and their paid jobs remain. All +17 thin queries remain. The sums A+B and C+D both stay at nine leaves, and +the second child stays at two leaves. + +The complete target and paid changes from PR6545 are + +```text +Delta T = 208 H41 - 208 H57 + 104 H40 - 104 H16, +Delta P = 312 H40 - 208 H56 - 104 H16. +``` + +The first two target terms come from the binary node. The last two target +terms replace the old retired suffix by the new suffix. The paid terms +include both the changed node idles and the third child's extra root idle. +No idle is omitted. Subtract to obtain + +```text +Delta(T-P) = 208 [(H41-H40) - (H57-H56)]. +``` + +For `H_r=r^t`, `0 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999253/350000000000", + "fixed_halo_explicit_metadata_branch": "26950000001/350000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799997009/1400000000000", + "new_semantic_group_guard": "3/1400000000" + }, + "margins": { + "boundary_algebraic_matrix": "6458048795387109/1960000000000000000", + "fused_gaussian": "6458048786161327/1960000000000000000", + "global_coordinate_router": "1153223/350000000", + "group_bit_router": "1614512546540331/490000000000000000", + "group_scans": "699999999/700000000", + "main_transform": "6458047395387109/1960000000000000000", + "microbox_face_corrections": "26950000001/350000000", + "polynomial_products": "1399999999/1400000000", + "sparse_union_movement": "802708048795387109/1960000000000000000" + }, 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verifier. Native, +caller, phase, interval and compiler sources keep their original credit. +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from collections import Counter +from copy import deepcopy +from hashlib import sha1, sha256 +from pathlib import Path, PurePosixPath +import importlib.util +import json +import sys +import tarfile +import tempfile + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +STATUS = 'PASS_REBALANCED_RETIREMENT_KAPPA_00329492' + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(path): + return json.loads(Path(path).read_bytes()) + + +def load(path, name): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def reject(action): + try: + action() + except ValueError as error: + return str(error) + raise ValueError('Invalid candidate accepted') + + +def unpack(record, root): + archive = HERE/record['archive'] + need(sha256(archive.read_bytes()).hexdigest() == record['archive_sha256'], + 'Exact retained archive') + pins = {p['path']: p for p in record['files']} + seen = set() + with tarfile.open(archive, 'r:') as tar: + for member in tar.getmembers(): + path = PurePosixPath(member.name) + need(member.isfile() and not path.is_absolute() and '..' not in path.parts + and member.name in pins and member.name not in seen, + 'Declared regular source member') + seen.add(member.name) + data = tar.extractfile(member).read() + pin = pins[member.name] + need(sha256(data).hexdigest() == pin['sha256'] and + sha1(b'blob '+str(len(data)).encode()+b'\0'+data).hexdigest() == pin['git_blob'], + 'Exact source SHA256 and Git blob') + target = root/member.name + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes(data) + need(seen == set(pins), 'Complete retained inventory') + + +def adapted(source, kind): + text = source.read_text() + for before, after in read(HERE/'ADAPTERS.json')[kind]: + need(text.count(before) == 1, 'Unique declared '+kind+' edit') + text = text.replace(before, after) + return text + + +class Extension: + def __init__(self, source_candidate, source, temporary, write): + self.source_candidate = source_candidate + self.source = source + self.temporary = temporary + self.write = write + + def run(self, native_word, old_caller, local, native, L): + # The source runs all its checks and compares its frozen caller receipt. + source_result = self.source_candidate.run(native_word, old_caller, local, native, L) + controller = sys.modules['controller'] + original = Path(controller.__file__) + constructor_path = self.temporary/'tree_constructor.py' + constructor_path.write_text(adapted(original, 'controller')) + constructor = load(constructor_path, 'tree_constructor') + data = read(HERE/'ROOT.json') + original_data = read(original.with_name('ROOT.json')) + need({k: v for k, v in data.items() if k not in ('children', 'child_sizes')} == + {k: v for k, v in original_data.items() if k not in ('children', 'child_sizes')}, + 'Only the child trees and their size declaration change') + need(data['child_sizes'] == [7, 2, 5, 4], 'Declared child allocation') + base = constructor.construct(data) + controller.replay(base) + need(base['events'][:329] == old_caller['events'][:329], + 'The complete source prefix through the retirement cut is unchanged') + sizes = Counter(len(node['stages']) for node in base['nodes']) + need(sizes == {2: 8, 3: 2, 4: 2, 5: 1, 7: 1}, 'Every binary supplier size') + make = load(self.source/'retirement.py', 'tree_retirement') + checks = load(self.source/'check_caller.py', 'tree_independent') + word, witness = make.construct(base) + forward = controller.replay(word) + reverse = checks.transpose(word) + pair = checks.dual_pair(base, make.G, make.J) + controls = controller.controls(word) + for label, index in [('boundary', 0), ('cut', witness['handoff_after']), + ('return', len(word['events'])-1)]: + bad = deepcopy(word) + del bad['events'][index] + controls['missing_'+label] = reject(lambda bad=bad: controller.replay(bad)) + bad = deepcopy(word) + bad['diagonal'][-1][0] = -1 + controls['unearned_central_target'] = reject(lambda: checks.transpose(bad)) + bad = deepcopy(word) + bad['events'][witness['handoff_after']][-1] = '-1' + controls['wrong_cut_sign'] = reject(lambda: controller.replay(bad)) + + def jobs(caller): + return [(e[0], e[1] if e[0] == 'LOCAL' else e[3] if e[0] == 'QUERY' else + tuple(e[3] if e[0] == 'IDLE' else e[2])) + for e in caller['events'] if e[0] in ('LOCAL', 'QUERY', 'IDLE', 'IDLE_ONE')] + + need(jobs(base) == jobs(word), 'Retirement keeps every rebalanced paid job') + physical = load(self.source/'physical.py', 'tree_physical').physical(word, native_word, L) + invoice = load(HERE/'invoice.py', 'tree_invoice') + need(adapted(self.source/'pricing.py', 'pricing') == (HERE/'pricing.py').read_text(), + 'Every price edit is declared') + price = load(HERE/'pricing.py', 'tree_price') + bound = price.run(local, native, word, physical, L) + changes = invoice.compare(bound, source_result['complete_cost']) + old_T = {int(k): v for k, v in source_result['complete_cost']['targets'].items()} + old_P = {int(k): v for k, v in source_result['complete_cost']['paid'].items()} + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py', 'tree_comparison') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py', 'tree_second_comparison') + first = E.moment(old_T, 1-price.KAPPA), E.moment(old_P, 1-price.KAPPA) + tl, th = other.moment(old_T, price.KAPPA) + pl, ph = other.moment(old_P, price.KAPPA) + need(first[0][1] < first[1][0] and th < pl, + 'Both rational engines reject PR6545 at the new claim') + bad = deepcopy(local) + bad['paid'][1] -= 1 + controls['unpaid_native_job'] = reject(lambda: price.assemble(bad, native, word, physical)) + bad = deepcopy(physical) + bad['main_targets'][1] += 104 + controls['extra_gaussian_credit'] = reject(lambda: price.assemble(local, native, word, bad)) + for name, value in [('CONTROLLER.json', word), ('WITNESS.json', witness)]: + if self.write: + (HERE/name).write_text(json.dumps(value, indent=2)+'\n') + else: + need(value == read(HERE/name), 'Exact '+name) + print('PASS rebalanced caller, independent reverse rows, dual pairs, physical maps and complete price', flush=True) + candidate = price.encode(dict(caller=forward, reverse=reverse, dual_pair=pair, + child_sizes=data['child_sizes'], internal_node_sizes=dict(sizes), + physical=physical, complete_cost=bound, changes=changes, controls=controls, + source_margin_first=E.display((first[0][0]-first[1][1], first[0][1]-first[1][0])), + source_margin_second=E.display((tl-ph, th-pl)))) + return {'source': source_result, 'candidate': candidate} + + +def run(write=False): + with tempfile.TemporaryDirectory(prefix='rebalanced-retirement-') as directory: + root = Path(directory) + old_cache = sys.pycache_prefix + sys.pycache_prefix = str(root/'bytecode') + try: + pins = read(HERE/'RETAINED.json') + unpack(pins, root) + source = root/'research/gaussian-root-retirement' + # The two edits add one explicit extension parameter. They do not + # remove or alter a source check, price, receipt or archive. + driver_path = source/'tree_extension_driver.py' + driver_path.write_text(adapted(source/'verify.py', 'driver')) + driver = load(driver_path, 'tree_source_driver') + result = driver.run(extension=lambda candidate: Extension(candidate, source, root, write)) + candidate = result['candidate']['candidate'] + result['candidate'] = result['candidate']['source'] + need(result == read(source/'RESULT.json'), 'Every PR6545 result and control is unchanged') + return {'status': STATUS, 'source_head': pins['source_head'], + 'source_result_sha256': sha256((source/'RESULT.json').read_bytes()).hexdigest(), + 'candidate': candidate, 'assumptions': result['assumptions'], + 'selected_frontier_changed': False} + finally: + sys.pycache_prefix = old_cache + + +if __name__ == '__main__': + need(sys.argv[1:] in ([], ['--write-result']), 'Only --write-result is supported') + write = bool(sys.argv[1:]) + result = run(write) + if write: + (HERE/'RESULT.json').write_text(json.dumps(result, sort_keys=True, indent=2)+'\n') + else: + need(result == read(HERE/'RESULT.json'), 'Exact complete scientific receipt') + print(STATUS, flush=True) diff --git a/research/pr6551-retirement-audit/verify.py b/research/pr6551-retirement-audit/verify.py new file mode 100644 index 0000000000..d4b23a5227 --- /dev/null +++ b/research/pr6551-retirement-audit/verify.py @@ -0,0 +1,75 @@ +"""Authenticate frozen inputs and run three isolated audit checks. Apache-2.0. +DLamdata with substantial OpenAI Codex assistance. +""" +import hashlib +import importlib.util +import json +from pathlib import Path, PurePosixPath +import subprocess +import sys +import tempfile + +HERE = Path(__file__).resolve().parent + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def authenticate(root=HERE): + record = json.loads((root/'RETAINED.json').read_bytes()) + seen = set() + for item in record['files']: + name = item['path']; path = PurePosixPath(name) + need(path.parts[0] == 'source' and not path.is_absolute() and '..' not in path.parts and + name not in seen, 'unique confined retained input') + seen.add(name) + file = root/name + need(file.is_file() and not file.is_symlink(), 'regular retained input '+name) + data = file.read_bytes() + need(hashlib.sha256(data).hexdigest() == item['sha256'], 'source SHA256 '+name) + need(hashlib.sha1(b'blob '+str(len(data)).encode()+b'\0'+data).hexdigest() == item['git_blob'], + 'source Git blob '+name) + actual = {p.relative_to(root).as_posix() for p in (root/'source').rglob('*') if p.is_file()} + need(seen == actual, 'exact retained input inventory') + return len(seen) + + +def load(name): + spec = importlib.util.spec_from_file_location('independent_'+name, HERE/(name+'.py')) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def run(): + authenticated = authenticate() + # These are audit modules, never retained predecessor Python modules. + with tempfile.TemporaryDirectory(prefix='retirement-audit-') as temporary: + old_prefix = sys.pycache_prefix + sys.pycache_prefix = str(Path(temporary)/'bytecode') + try: + caller = load('caller').run() + accounting = load('accounting').run(HERE/'source/pr6545', HERE/'source/pr6551') + command = [sys.executable, '-I', '-B', '-X', 'pycache_prefix='+str(Path(temporary)/'oracle-cache')] + if sys.flags.optimize: + command.append('-O') + command += [str(HERE/'cut_four_fibers.py'), str(HERE/'source/pr6545/CONTROLLER.json'), + str(HERE/'source/pr6551/CONTROLLER.json')] + result = subprocess.run(command, check=True, capture_output=True, text=True, timeout=30) + oracle = json.loads(result.stdout) + finally: + sys.pycache_prefix = old_prefix + return {'status': 'PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT', + 'authenticated_files': authenticated, 'caller': caller, + 'accounting': accounting, 'four_fiber_cut': oracle, + 'scope': 'Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.'} + + +if __name__ == '__main__': + need(sys.argv[1:] in ([], ['--emit']), 'only --emit is supported') + result = run() + if not sys.argv[1:]: + need(result == json.loads((HERE/'RESULT.json').read_bytes()), 'exact integrated scientific receipt') + print(json.dumps(result, indent=2, sort_keys=True)) From 28929ae5b3bb575c0bb423d26d98d6f878ab8dd3 Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 08:42:45 +0000 Subject: [PATCH 2/6] Retain complete local audit replay logs --- .../evidence/optimized-direct.log | 342 +++++++++ .../evidence/registered.log | 687 ++++++++++++++++++ 2 files changed, 1029 insertions(+) create mode 100644 research/pr6551-retirement-audit/evidence/optimized-direct.log create mode 100644 research/pr6551-retirement-audit/evidence/registered.log diff --git a/research/pr6551-retirement-audit/evidence/optimized-direct.log b/research/pr6551-retirement-audit/evidence/optimized-direct.log new file mode 100644 index 0000000000..eed660e99d --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/optimized-direct.log @@ -0,0 +1,342 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "authenticated_files": 20, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/registered.log b/research/pr6551-retirement-audit/evidence/registered.log new file mode 100644 index 0000000000..bd7de0b957 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/registered.log @@ -0,0 +1,687 @@ +CHECK Authenticated full caller, independent CRT cut and event/tree invoice, 22 semantic rejection controls. +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "authenticated_files": 20, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} +CHECK Same exact scientific evidence with assertions disabled. +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "authenticated_files": 20, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} +PASS_REGISTERED_RESEARCH_PACKAGE research/pr6551-retirement-audit outcome=completed From df8d6447248a2a375eb5d2b56c4c9cb6c89077c8 Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 08:43:50 +0000 Subject: [PATCH 3/6] Record portable audit replay and final overlap coverage --- research/pr6551-retirement-audit/OVERLAP.json | 45 ++- .../pr6551-retirement-audit/VALIDATION.md | 12 +- .../evidence/cold-normal.log | 342 ++++++++++++++++++ .../evidence/cold-optimized.log | 342 ++++++++++++++++++ .../evidence/cold-runs.json | 38 ++ .../evidence/commit-preflight.json | 1 + .../evidence/export-check.json | 1 + .../evidence/export-create.json | 1 + 8 files changed, 780 insertions(+), 2 deletions(-) create mode 100644 research/pr6551-retirement-audit/evidence/cold-normal.log create mode 100644 research/pr6551-retirement-audit/evidence/cold-optimized.log create mode 100644 research/pr6551-retirement-audit/evidence/cold-runs.json create mode 100644 research/pr6551-retirement-audit/evidence/commit-preflight.json create mode 100644 research/pr6551-retirement-audit/evidence/export-check.json create mode 100644 research/pr6551-retirement-audit/evidence/export-create.json diff --git a/research/pr6551-retirement-audit/OVERLAP.json b/research/pr6551-retirement-audit/OVERLAP.json index 2b09ef8402..4a73df7c3c 100644 --- a/research/pr6551-retirement-audit/OVERLAP.json +++ b/research/pr6551-retirement-audit/OVERLAP.json @@ -102,5 +102,48 @@ "repo:CrocSwap/integer-mult-bounds is:pr \"retirement\" \"audit\"", "repo:CrocSwap/integer-mult-bounds is:pr \"rebalanced\"" ], - "assessment": "Relevant successor and predecessor explicitly request this independent review. No matching competing audit found; no novelty inference from absent matches. Full closed inventory and arbitrary code diffs/private work are not covered." + "assessment": "Relevant successor and predecessor explicitly request this independent review. No matching competing audit found; no novelty inference from absent matches. Full closed inventory and arbitrary code diffs/private work are not covered.", + "prepublication_refresh": { + "searched_at": "2026-11-03T08:43:10.430310+00:00", + "terms": [ + "retirement-rebalanced-query-tree", + "retirement cut" + ], + "coverage": { + "local": { + "head": "7c49fe32c55de02c2c873655c804b16e4c3fef0a", + "records": 8919, + "head_records": 8917, + "complete_head_inventory": true, + "unsearched_head_paths": [] + }, + "open_prs": { + "fetched_at": "2026-11-03T08:41:07.646281+00:00", + "complete_pagination": true, + "records": 504 + }, + "discussions": { + "fetched_at": "2026-11-03T08:43:09.983221+00:00", + "complete_pagination": true, + "records": 6492 + } + }, + "warnings": [], + "limits": "Remote PR scope is open PRs including drafts. Closed work is searched through local READMEs, TASK metadata and ledger only. Local coverage compares searched working-tree notes with regular note paths at coverage.local.head; it does not certify HEAD contents or historical coverage. No code diffs or arbitrary package files are searched. Recheck relevant heads before submission.", + "assessment": "Same exact source heads and explicit handoff; only new exact audit match is this publicly posted claim and local package. No scope conflict found. Canonical main unchanged." + }, + "source_head_refresh": { + "6551": { + "head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "state": "open", + "updated_at": "2026-11-03T06:09:23Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/6551" + }, + "6545": { + "head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "state": "open", + "updated_at": "2026-11-03T04:50:22Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/6545" + } + } } diff --git a/research/pr6551-retirement-audit/VALIDATION.md b/research/pr6551-retirement-audit/VALIDATION.md index cc357d97ba..0cbe8cb124 100644 --- a/research/pr6551-retirement-audit/VALIDATION.md +++ b/research/pr6551-retirement-audit/VALIDATION.md @@ -23,4 +23,14 @@ No full native replay, all-width physical proof, source numerical-root/tail/oute ## Export and committed-byte checks -Publication preflights and a clean Git-free read-only export replay are recorded after the first scientific commit. They test source availability and portability of this package, separately from its mathematical scope. The final publication commit and remote CI state are reported in the contribution PR; local success does not imply hosted success or maintainer acceptance. +At commit `28929ae5b3bb575c0bb423d26d98d6f878ab8dd3`, these commands passed: + +```sh +python3 -B scripts/check_research_commit.py --package research/pr6551-retirement-audit --check-source-history +python3 -B scripts/export_research_package.py export --package research/pr6551-retirement-audit --ref 28929ae5b3bb575c0bb423d26d98d6f878ab8dd3 --output /tmp/retirement-audit.tar +python3 -B scripts/export_research_package.py check /tmp/retirement-audit.tar +``` + +The preflight compared all 47 committed files and confirmed the declared base-history dependency. The export contains those files plus its integrity metadata. Normal and optimized direct replays then passed from the read-only export with no Git metadata and an empty PATH, in 0.533343 and 0.646604 seconds. Both returned the exact committed scientific receipt; all 48 file hashes and modes were unchanged. [evidence/cold-runs.json](evidence/cold-runs.json) records exact actual paths/commands and [cold-normal.log](evidence/cold-normal.log) / [cold-optimized.log](evidence/cold-optimized.log) retain complete outputs. The commands above substitute a portable temporary output path for that record's local path. + +The final evidence commit adds only validation/overlap records and logs. The checkers, frozen inputs and RESULT retain the hashes reviewed in FINAL-REVIEW.md. Publication repeats the byte/history preflight and export replay on that actual final commit. Remote CI is reported separately in the contribution PR; local success does not imply hosted success or maintainer acceptance. diff --git a/research/pr6551-retirement-audit/evidence/cold-normal.log b/research/pr6551-retirement-audit/evidence/cold-normal.log new file mode 100644 index 0000000000..eed660e99d --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/cold-normal.log @@ -0,0 +1,342 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "authenticated_files": 20, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/cold-optimized.log b/research/pr6551-retirement-audit/evidence/cold-optimized.log new file mode 100644 index 0000000000..eed660e99d --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/cold-optimized.log @@ -0,0 +1,342 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "authenticated_files": 20, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/cold-runs.json b/research/pr6551-retirement-audit/evidence/cold-runs.json new file mode 100644 index 0000000000..11d898c4f6 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/cold-runs.json @@ -0,0 +1,38 @@ +{ + "export_commit": "28929ae5b3bb575c0bb423d26d98d6f878ab8dd3", + "files_including_export_metadata": 48, + "all_bytes_and_modes_unchanged": true, + "runs": [ + { + "command": [ + "/workspace/integer-mult-bounds/.venv/bin/python", + "-I", + "-B", + "/workspace/work/research-assignment/cold-export/research/pr6551-retirement-audit/verify.py" + ], + "empty_path": true, + "read_only": true, + "git_metadata": false, + "exit_code": 0, + "elapsed_seconds": 0.533343, + "maxrss_kib": 39220, + "receipt_equal": true + }, + { + "command": [ + "/workspace/integer-mult-bounds/.venv/bin/python", + "-I", + "-O", + "-B", + "/workspace/work/research-assignment/cold-export/research/pr6551-retirement-audit/verify.py" + ], + "empty_path": true, + "read_only": true, + "git_metadata": false, + "exit_code": 0, + "elapsed_seconds": 0.646604, + "maxrss_kib": 39460, + "receipt_equal": true + } + ] +} diff --git a/research/pr6551-retirement-audit/evidence/commit-preflight.json b/research/pr6551-retirement-audit/evidence/commit-preflight.json new file mode 100644 index 0000000000..509443059b --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/commit-preflight.json @@ -0,0 +1 @@ +PASS_RESEARCH_COMMIT_BYTES {"commit": "28929ae5b3bb575c0bb423d26d98d6f878ab8dd3", "files": 47, "package": "research/pr6551-retirement-audit", "source_history_commits": ["7c49fe32c55de02c2c873655c804b16e4c3fef0a"]} diff --git a/research/pr6551-retirement-audit/evidence/export-check.json b/research/pr6551-retirement-audit/evidence/export-check.json new file mode 100644 index 0000000000..50da16919a --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/export-check.json @@ -0,0 +1 @@ +PASS_RESEARCH_EXPORT {"commit": "28929ae5b3bb575c0bb423d26d98d6f878ab8dd3", "package": "research/pr6551-retirement-audit", "files": 47} diff --git a/research/pr6551-retirement-audit/evidence/export-create.json b/research/pr6551-retirement-audit/evidence/export-create.json new file mode 100644 index 0000000000..50da16919a --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/export-create.json @@ -0,0 +1 @@ +PASS_RESEARCH_EXPORT {"commit": "28929ae5b3bb575c0bb423d26d98d6f878ab8dd3", "package": "research/pr6551-retirement-audit", "files": 47} From 13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 08:44:14 +0000 Subject: [PATCH 4/6] Label textual publication preflight receipts correctly --- .../evidence/{commit-preflight.json => commit-preflight.txt} | 0 .../evidence/{export-check.json => export-check.txt} | 0 .../evidence/{export-create.json => export-create.txt} | 0 3 files changed, 0 insertions(+), 0 deletions(-) rename research/pr6551-retirement-audit/evidence/{commit-preflight.json => commit-preflight.txt} (100%) rename research/pr6551-retirement-audit/evidence/{export-check.json => export-check.txt} (100%) rename research/pr6551-retirement-audit/evidence/{export-create.json => export-create.txt} (100%) diff --git a/research/pr6551-retirement-audit/evidence/commit-preflight.json b/research/pr6551-retirement-audit/evidence/commit-preflight.txt similarity index 100% rename from research/pr6551-retirement-audit/evidence/commit-preflight.json rename to research/pr6551-retirement-audit/evidence/commit-preflight.txt diff --git a/research/pr6551-retirement-audit/evidence/export-check.json b/research/pr6551-retirement-audit/evidence/export-check.txt similarity index 100% rename from research/pr6551-retirement-audit/evidence/export-check.json rename to research/pr6551-retirement-audit/evidence/export-check.txt diff --git a/research/pr6551-retirement-audit/evidence/export-create.json b/research/pr6551-retirement-audit/evidence/export-create.txt similarity index 100% rename from research/pr6551-retirement-audit/evidence/export-create.json rename to research/pr6551-retirement-audit/evidence/export-create.txt From 092009c8548a520c9913eb905f351c7ce2a4b8cd Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 09:27:28 +0000 Subject: [PATCH 5/6] Extend retirement audit after external Claude review --- .../DOCUMENTATION-REVIEW.md | 24 + .../ENDPOINT-REVIEW.md | 58 +++ .../EXTERNAL-REVIEW.md | 38 ++ .../FOLLOWUP-REVIEW.md | 70 +++ .../FOLLOWUP-VALIDATION.md | 42 ++ .../PRICING-SOURCE-MAP.md | 74 +++ research/pr6551-retirement-audit/README.md | 25 +- research/pr6551-retirement-audit/RESULT.json | 479 +++++++++++++++++- .../pr6551-retirement-audit/RETAINED.json | 16 + .../pr6551-retirement-audit/VALIDATION.md | 8 +- research/pr6551-retirement-audit/VERIFY.json | 2 +- .../check_source_objects.py | 64 +++ .../cut_four_fibers.py | 110 +++- .../evidence/followup/context-refresh.json | 33 ++ .../followup/direct-source-comparison.json | 160 ++++++ .../followup/external-corruptions.json | 41 ++ .../evidence/followup/fiber-normal-run.json | 14 + .../followup/fiber-optimized-run.json | 15 + .../evidence/followup/local-runs.json | 54 ++ .../followup/ordinary-arithmetic.json | 19 + .../evidence/followup/pricing-binding.json | 61 +++ .../evidence/followup/pricing-run.json | 14 + .../evidence/followup/provenance-control.json | 11 + .../review-source-binding-checks.json | 127 +++++ .../followup/scientific-inventory.json | 42 ++ .../pricing_binding.py | 132 +++++ .../source/pr6545/pricing.py | 186 +++++++ .../source/pr6551/pricing.py | 189 +++++++ research/pr6551-retirement-audit/verify.py | 16 +- 29 files changed, 2099 insertions(+), 25 deletions(-) create mode 100644 research/pr6551-retirement-audit/DOCUMENTATION-REVIEW.md create mode 100644 research/pr6551-retirement-audit/ENDPOINT-REVIEW.md create mode 100644 research/pr6551-retirement-audit/EXTERNAL-REVIEW.md create mode 100644 research/pr6551-retirement-audit/FOLLOWUP-REVIEW.md create mode 100644 research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md create mode 100644 research/pr6551-retirement-audit/PRICING-SOURCE-MAP.md create mode 100644 research/pr6551-retirement-audit/check_source_objects.py create mode 100644 research/pr6551-retirement-audit/evidence/followup/context-refresh.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/direct-source-comparison.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/external-corruptions.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/fiber-normal-run.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/fiber-optimized-run.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/local-runs.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/ordinary-arithmetic.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/pricing-binding.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/pricing-run.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/provenance-control.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/review-source-binding-checks.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/scientific-inventory.json create mode 100644 research/pr6551-retirement-audit/pricing_binding.py create mode 100644 research/pr6551-retirement-audit/source/pr6545/pricing.py create mode 100644 research/pr6551-retirement-audit/source/pr6551/pricing.py diff --git a/research/pr6551-retirement-audit/DOCUMENTATION-REVIEW.md b/research/pr6551-retirement-audit/DOCUMENTATION-REVIEW.md new file mode 100644 index 0000000000..2967117a4c --- /dev/null +++ b/research/pr6551-retirement-audit/DOCUMENTATION-REVIEW.md @@ -0,0 +1,24 @@ +# Read-only documentation review + +Reviewed README.md, EXTERNAL-REVIEW.md, PRICING-SOURCE-MAP.md, ENDPOINT-REVIEW.md and pricing_binding.py against the supplied external audit text. No scientific verifier or artifact-regenerating command was run. The extended checker hash in ENDPOINT-REVIEW.md matches the current file (`3b15f6c17d2e7a941c97a29cd4269388cd07f824a4d8df16fc22a62c1515fcf8`). Publication receipts are intentionally outside this interim check. + +## Findings to resolve + +1. **Minor factual source-map correction — PRICING-SOURCE-MAP.md, paragraph beginning “The candidate's verify.py”.** It says `native_word`, `local`, `native`, and `L` all pass to both the predecessor invocation and the new price calculation. Exact candidate code passes `(native_word, old_caller, local, native, L)` to `source_candidate.run` at line 88, but only `(local, native, word, physical, L)` to `price.run` at line 136. The native word instead goes to `physical(..., native_word, L)` at line 131. Suggested replacement: “The candidate's `verify.py` `Extension.run` passes the same `local`, `native` and `L` objects to the predecessor invocation at line 88 and the new price calculation at line 136; the same `native_word` is supplied to the physical-map check at line 131.” This does not alter the cancellation conclusion. + +2. **Attribution clarity — README.md, Pins and independence final paragraph.** The sentence “The reviewer made the conceptual suffix argument's implicit invertibility premise explicit…” follows the Claude paragraph, so a reader can attribute that original internal-review finding to Claude. Earlier internal review supplied it. Change “The reviewer” to “The internal skeptical reviewer” (or name that role explicitly). Claude's six documented findings and later Codex implementations are otherwise cleanly distinguished. + +## Checks with no issue found + +- Claude Code / Claude Opus 5.5 is credited for the external audit and findings; GPT-6 Astra through Codex is credited for the lead/internal roles and follow-up implementation. No independent human or formal-kernel review is claimed. +- External results are explicitly **reported** at `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c`; unpublished scripts/logs are not represented as locally replayed evidence. The later full-fiber checker is correctly separated from that external snapshot. +- The external report's early contradictory progress wording (“caught” versus “accepts”, “passes” versus “past” the decay) is resolved using its final substantive findings: four suffix changes passed the old cut check, and the candidate ratio exceeds 31/32. +- The additional local full-endpoint coverage and four suffix rejection controls are identified separately from the old cut check; redundant guards are not falsely described as independently mutation-covered. +- Physical tariff validity remains inherited. The exact 232,960 ordinary allowance increment is presented as arithmetic under the pinned formula, not a proof of physical rates or supplier admission. +- Local-manifest integrity is distinguished from external Git-object provenance, with an explicit trusted-publication/checker boundary. The AST matching helper calls its fragments copied source contracts, not independently derived physical semantics. +- `research/20261103-open-obligation` is correctly the branch, and `research/pr6551-retirement-audit` the package directory. The external report's initial branch confusion was corrected and is not repeated. +- The old 20-file/53-file external snapshot and current 22 retained sources are distinguished. Historical receipts are labelled; this review intentionally does not flag pending final publication receipts. + +No blocking scientific or scope-overstatement issue was found in these documents. Resolve the two small factual/attribution edits before publication, then let the lead's serial validation and final receipt process complete. + +Lead resolution: both wording findings were corrected before the scientific follow-up commit. The source-map line now distinguishes the shared pricing arguments from native_word passed to the physical checker; README names the internal skeptical reviewer. No scientific code or receipt changed. diff --git a/research/pr6551-retirement-audit/ENDPOINT-REVIEW.md b/research/pr6551-retirement-audit/ENDPOINT-REVIEW.md new file mode 100644 index 0000000000..eb16187d53 --- /dev/null +++ b/research/pr6551-retirement-audit/ENDPOINT-REVIEW.md @@ -0,0 +1,58 @@ +# Independent full-endpoint extension after external review + +**Result:** both frozen callers pass independent full 35-by-35 endpoint verification in all four exact central fibers, with every stage variable formal. The previous retirement-cut and input-lifetime checks remain. The four requested changed-suffix controls all pass those previous checks but fail the new endpoint calculation with explicit coefficient counterexamples. + +This extends the review coverage; it does not change either caller, source claim, invoice, source pin or selected frontier. No predecessor constructor, source checker, lead checker or pricing routine is imported or executed. The new engine reuses only this reviewer's own Gaussian-rational, formal-stage vector interpreter. + +## Exact scope + +The retained inputs remain PR6545 `775722aa94a5e85b05d1d704d7dca10cbf016f0c` and PR6551 `11ca568cd1a16776ade02b4df09ea04a784cc674`, reviewed through contribution snapshot `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c`: + +- Old controller SHA256: `e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed`. +- New controller SHA256: `419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da`. +- Extended checker SHA256: `3b15f6c17d2e7a941c97a29cd4269388cd07f824a4d8df16fc22a62c1515fcf8`. +- Deterministic receipt SHA256: `ff7621c206e1a553c95e41db7a13cd70877aaf4646ccab2d9f603620adcfb5a9`. + +The standalone checker reports controller hashes but does not check their expected values itself. The integrated wrapper retains its source-integrity checks before launching this checker; independent source provenance requires the optional Git-object comparison. + +## Complete endpoint argument + +For each q in `1,-1,i,-i`, the checker starts with each of the 35 unit output rows and propagates it backward through every event (609 old, 611 new). Every one of the 35 resulting input coefficients is compared with its prescribed diagonal coefficient. This is 1,225 formal coefficient positions per fiber, 4,900 per caller, and 9,800 across the two actual callers. The coefficient representation is independent of the lead's complete transfer matrix: each row is processed separately after exact q specialization, with Gaussian rational coefficients and 19-component formal stage-exponent tuples. D0 is retained explicitly and required to be zero in target signatures; D1 through D18 are never numerically specialized. + +The existing Chinese remainder argument applies to the full matrices: over `A=Q(i)[D0,...,D18]`, the four factors of `q^4-1` are pairwise comaximal, so evaluation gives an injection `A[q]/(q^4-1) -> A^4`. Exact equality in all four fibers therefore establishes each complete endpoint identity in the claimed formal quotient ring. This is not random testing or a specialization of the stage operators. The written CRT argument is not a formal-kernel proof. + +The matrices still use the declared LOCAL, QUERY, IDLE, LAMBDA and ordinary scalar contracts. Physical native maps, all-width substitution, scalar-outside-tensor convention, ordinary work, numerical moments, compiler and outer obligations remain separate. Agreement with the primary replay is implementation corroboration under shared semantic and Python Fraction assumptions, not independent physical admission. + +## Independently identified changed region + +A maximal literal comparison gives exactly 358 common initial events and 67 common final events. The changed half-open slices are old `[358:542]` and new `[358:544]`. Changed diagonal roles are `20,21,22,23,24,25,26,27,34`. The 345-event retirement prefix is inside the unchanged prefix; this explains why the earlier cut-only checker alone could not detect the requested suffix errors. Identical trailing instructions do not imply identical incoming states, so the extension checks the complete end-to-end map. + +## Requested failure controls + +Each control first passes the existing cut and lifetime checks, then must raise the specifically typed `EndpointMismatch`. An input-validation or cut-marker failure is not accepted as evidence of suffix coverage. The receipt records the first exact mismatch, including its full formal polynomial, expected polynomial, q fiber and matrix coordinates. + +| Invalid change | First mismatch at q=1 | Detection | +|---|---|---| +| Flip event363 `ADD 1 22 1` to coefficient -1 | output23, input20 | Actual coefficient is `2 D10 D11`, expected zero. | +| Remove D11 from event358's five-stage IDLE | output0, input0 | Actual stage monomial differs from the full target. | +| Swap event371 LOCAL source and destination | output0, input0 | Actual diagonal coefficient differs from the required one. | +| Remove D11 from fresh coordinate34's target | output34, input34 | Literal caller retains D11; declared target omits it. | + +These four controls preserve the first345 events and pass the original retirement-cut checks. Their endpoint failures are thus direct evidence for the added scientific coverage. The controls stop at the first disagreement; they do not claim a replay of every later mismatch. + +Both actual source callers are positive fixtures. A second new positive fixture inserts an inverse half-ADD pair on arbitrary fresh input34 into the changed suffix after event371; all 4,900 endpoint coefficient positions still pass. This tests a semantically valid suffix edit instead of simply rejecting every deviation from the pinned word. The previous canceling-ADD prefix fixture and four previous cut/lifetime rejection controls remain. An additional artificial pivot-column failure was unnecessary: the retained column check remains, and all complete coefficient positions now receive independent coverage. + +## Actual commands and results + +From the intended checkout after environment activation: + +```sh +python -I -B /workspace/work/research-assignment/claude-followup/fibers/cut_four_fibers.py /workspace/work/research-assignment/checkout/research/pr6551-retirement-audit/source/pr6545/CONTROLLER.json /workspace/work/research-assignment/checkout/research/pr6551-retirement-audit/source/pr6551/CONTROLLER.json +python -I -O -B /workspace/work/research-assignment/claude-followup/fibers/cut_four_fibers.py /workspace/work/research-assignment/checkout/research/pr6551-retirement-audit/source/pr6545/CONTROLLER.json /workspace/work/research-assignment/checkout/research/pr6551-retirement-audit/source/pr6551/CONTROLLER.json +``` + +Both exit0 with `PASS_FOUR_FIBER_RETIREMENT_CUT_AND_ENDPOINTS`; normal and optimized receipts are byte-identical. CPython 3.12.14, standard library only. Normal run: 1.099399 seconds, 11904 KiB child high-water RSS. Optimized run: 1.157566 seconds, 14788 KiB. The measurement wrappers used a 120-second timeout and Python `time.monotonic`/`resource.getrusage`. Full executed interpreter paths, arguments, exit status, stderr and measurements are in [fiber-normal-run.json](evidence/followup/fiber-normal-run.json) and [fiber-optimized-run.json](evidence/followup/fiber-optimized-run.json). No scientific run failed. + +The extension was developed and run only in the assigned separate output directory. No project file, Git ref, public message or PR was changed by this agent. The lead integrated the new script/receipt; [FOLLOWUP-VALIDATION.md](FOLLOWUP-VALIDATION.md) records the serial registered package, export and publication-byte checks. The previous reviewed source/caller snapshot is unchanged, while this expanded checker snapshot requires its own evidence. + +Prepared for DLamdata with substantial GPT-6 Astra assistance through OpenAI Codex in the independent review role; Apache-2.0. Ali Romman and the retained predecessor contributors keep construction, retirement and native-interface credit. This is AI review, not human or maintainer acceptance. diff --git a/research/pr6551-retirement-audit/EXTERNAL-REVIEW.md b/research/pr6551-retirement-audit/EXTERNAL-REVIEW.md new file mode 100644 index 0000000000..e8018288d0 --- /dev/null +++ b/research/pr6551-retirement-audit/EXTERNAL-REVIEW.md @@ -0,0 +1,38 @@ +# External AI review and response + +Claude Code / Claude Opus 5.5 reviewed contribution snapshot `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c` on branch `research/20261103-open-obligation`. The contributor supplied its written audit. Claude reported no scientific error in the finite caller identity, exact CRT argument, input independence, common native-cost cancellation or complete Gaussian invoice delta under the declared semantics. It changed and pushed nothing. + +This note summarizes that supplied report; Claude's scripts and raw execution logs were not supplied, so they have not been rerun or incorporated here. The later implementation and local evidence are GPT-6 Astra / Codex work. External review of the old snapshot must not be described as review of the new checker bytes. Neither review is independent human review, formal-kernel verification or maintainer acceptance. + +## Reported external evidence + +Claude reported CPython 3.12.3 runs of the registered hook (2.2 seconds), normal/optimized direct replay, the 53-file commit/history preflight, final-SHA export integrity and both read-only Git-free cold replays with unchanged bytes. It reported direct comparison of all 20 then-retained files to the three source commits and agreement of the native archive hash. Its separate, unpublished third checker reportedly verified both full 35-by-35 endpoints in all four central fibers with formal stage variables and independently recomputed the source-defined invoice. These are attributed reported results, distinct from our committed local receipts. + +## Findings and resolutions + +1. **Changed-suffix coverage.** The prior second engine checked the first 345 events, inside a 358-event common prefix, and only field touches thereafter. Claude supplied four suffix mutations accepted by that cut-only check. The extended second engine now checks both complete endpoints (4,900 formal coefficient positions per caller), independently of the lead matrix implementation. Each of those four mutations passes the previous cut/lifetime checks and fails an actual endpoint coefficient. A valid inserted inverse ADD pair passes. [ENDPOINT-REVIEW.md](ENDPOINT-REVIEW.md) gives exact witnesses and the CRT argument. +2. **Integrity versus provenance.** The local manifest can be consistently replaced along with retained sources. We corrected the terminology and added an optional checker using an externally supplied publication SHA and the original Git source objects. The explicit substitution experiment and trust boundary are below. +3. **Historical publication receipts.** Original committed receipts cover `28929ae5b3bb575c0bb423d26d98d6f878ab8dd3` (47 files), while the externally reviewed snapshot is `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c` (53 files). FINAL-REVIEW.md's VALIDATION hash is also historical. Those records are preserved and labelled. [FOLLOWUP-VALIDATION.md](FOLLOWUP-VALIDATION.md) identifies each new tested snapshot, unchanged scientific-content hashes and later evidence-only changes. Final exact-head checks belong in the PR's publication record; no receipt claims to include its own future commit. +4. **Redundant guards.** Several row/column/fresh-target checks do not independently trigger in the original eleven caller controls. Under the checked diagonal endpoint, untouched-field and invertibility hypotheses these are redundant; this is not evidence that every guard was separately exercised. We make no such coverage claim. The new suffix controls target a distinct scientific gap rather than manufacturing failures for redundant guards. +5. **Source tariff binding.** Both exact predecessor/candidate `pricing.py` files are now retained and directly compared with their Git objects. [PRICING-SOURCE-MAP.md](PRICING-SOURCE-MAP.md) relates the independent counts to the source rules. A non-executing AST comparison checks the reviewed contract clauses and has three failure controls. Exact ordinary arithmetic gives 254,699,248 and 254,932,208, a difference of 232,960. The physical validity of the tariff constants remains inherited. +6. **Shared assumptions and AI assistance.** The source discloses Codex assistance. The lead and both internal review roles use GPT-6 Astra through Codex. All checks, including Claude's reported checker, share the opcode meanings, source billing contract and Python rational arithmetic, so different implementations and model providers do not remove those common assumptions or guarantee independent errors. + +## Source integrity and provenance + +The portable registered replay checks source bytes against the package's own RETAINED.json and recomputes science. It is useful for accidental corruption and reproducibility, but does not establish external origin when code and manifest can be replaced together. + +`check_source_objects.py` is a separate, optional Git-dependent comparison. Supply a full publication SHA obtained through a trusted channel and make that publication and the three pinned source commits available in the object database. The checker reads the manifest from that publication commit, requires the working manifest to match, and compares every retained file with its original commit/path and both recorded hashes. It compares working retained files, not the publication commit's stored copies, code or RESULT; the separate committed-byte preflight checks those published bytes. A Git object comparison alone does not establish which remote repository supplied the object. It does not fetch or execute source code. Its own code and the supplied publication pin must be trusted; this is not a defense against an attacker replacing the checker, trusted pin and all evidence. + +```sh +python3 -I -B research/pr6551-retirement-audit/check_source_objects.py --repository . --publication-commit FULL_PUBLICATION_SHA +``` + +The three source commits are #6551 `11ca568cd1a16776ade02b4df09ea04a784cc674`, #6545 `775722aa94a5e85b05d1d704d7dca10cbf016f0c`, and #6398 `dee2663ba0918be86993fd9d63c8d64b020f4c83`. The publication record supplies the full contribution SHA; a branch name is deliberately rejected as an anchor. A network-free export does not require this optional check or these Git objects. + +[provenance-control.json](evidence/followup/provenance-control.json) records a positive comparison of all 20 files in the externally reviewed original snapshot. A temporary copy then appends harmless text to a retained proof and consistently changes its two local manifest hashes. Its portable optimized replay still passes; the new checker anchored to the original publication commit rejects the changed manifest. [direct-source-comparison.json](evidence/followup/direct-source-comparison.json) compares all 22 current retained files, including both pricing sources, with their source Git objects. This demonstrates the different trust boundaries without changing any frozen predecessor in the contribution. + +## Remaining question and credit + +Claude also emphasized why a favorable invoice does not establish the completion tail: its reported approximate completion ratio rises from 0.964631 to 0.968921, exceeding 31/32 = 0.96875. The candidate changes the decay to 97/100 and the reserve from 10^-29 to 10^-27. Those numerical/tail facts have not been independently certified here; the separately derived rational tail audit remains the next useful task. Native/all-width maps, physical ordinary rates, numerical κ, compiler and outer predicates, and all five framework assumptions remain outside this finite audit. + +Credit Claude Code / Claude Opus 5.5 for the external audit and these six findings. Credit Ali Romman and retained predecessor authors for the construction, retirement mechanism, billing model and native integration. Follow-up code, tests and packaging by DLamdata with substantial GPT-6 Astra / OpenAI Codex assistance; Apache-2.0. No new κ, supplier admission or frontier change is claimed. diff --git a/research/pr6551-retirement-audit/FOLLOWUP-REVIEW.md b/research/pr6551-retirement-audit/FOLLOWUP-REVIEW.md new file mode 100644 index 0000000000..038496c89d --- /dev/null +++ b/research/pr6551-retirement-audit/FOLLOWUP-REVIEW.md @@ -0,0 +1,70 @@ +# Independent review of the expanded audit integration + +**Verdict: no unresolved blocking finding within the finite caller, cut, source-contract binding and Gaussian invoice-delta scope.** This verdict was derived from code, source objects and receipts before reading any response to the external review. The existing source/native assumptions are unchanged. This is separate AI review, not independent human review, formal verification, a new numerical kappa certificate or supplier admission. + +## Snapshot + +Reviewed contribution baseline: `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c`. Construction sources remain PR6551 `11ca568cd1a16776ade02b4df09ea04a784cc674`, PR6545 `775722aa94a5e85b05d1d704d7dca10cbf016f0c`, and PR6398 `dee2663ba0918be86993fd9d63c8d64b020f4c83`. The following working-file hashes identify the reviewed expanded code and receipts; a new publication commit must bind them. + +| File | SHA256 | +|---|---| +| `check_source_objects.py` | `793b5eba68ff87deb137c2b07f24b434790538fca76701bb80ab271088420a9f` | +| `pricing_binding.py` | `a0362e2bfb29ef38f914e8d6d89784a6078a0e24a8f7cc2ea07385d071c113f9` | +| `verify.py` | `ec190aa7e13c2d73ec871e9f2cc4ffdfe031ee7ec4722538f648127d786d5bdb` | +| `cut_four_fibers.py` | `3b15f6c17d2e7a941c97a29cd4269388cd07f824a4d8df16fc22a62c1515fcf8` | +| `caller.py` | `667dfc0b99b194dd4213f44596f8a7de4916022517a63da589fc2f201a8fcd2b` | +| `accounting.py` | `c032bab18b8fe8763fec40958a8f6ae09d7e973755005347cec4e74f86128605` | +| `RESULT.json` | `8c6a7c6fc8872b8de465ebd3101428c9344aed3d93bf82a1a930f183802c8c13` | +| `RETAINED.json` | `4dadc39c1e4b65f74ab1874107c64ebe58ba10018062f74eaad8c4b551381cb8` | + +The package root is `research/pr6551-retirement-audit/`. Documentation and publication evidence were still being updated by the lead and are not included in this code-snapshot verdict. + +## Full independent endpoint extension + +The integrated four-fiber script has exactly the same hash as the independently developed and tested extension. The integrated `four_fiber_cut` receipt is exactly equal, as parsed JSON, to the independently sealed normal/optimized receipt. It retains all earlier cut/lifetime checks and adds every coefficient of both complete 35 by 35 endpoints at q=`1,-1,i,-i`, with formal stage variables. The CRT justification supplies exact coverage of the full q quotient ring, rather than probabilistic testing. Both source callers and a valid inverse half-ADD suffix edit pass. + +The four new suffix mutants are required to pass the original cut checks and to raise `EndpointMismatch` from the complete transfer comparison. This avoids confusing source-schema rejection with actual suffix coverage. Explicit first disagreement polynomials are retained. Maximal common prefix 358 and suffix 67, the changed event slices, and nine changed diagonal-role records are computed from literal data. The earlier shared 345-event cut is not presented as sufficient evidence for the changed suffix. + +The independent full-caller engine remains unchanged and uses a different polynomial organization. Shared assumptions include the declared opcode meanings, Gaussian physical rank interpretation, factorwise tensor convention and Python rational arithmetic. These engines do not independently establish physical native maps or all-width implementation. + +## Pricing-source binding and ordinary arithmetic + +`pricing_binding.py` parses, but never executes, the two exact pinned pricing sources. Its copied AST tariff clauses are explicitly labeled a **source contract**, not an independently derived physical law. The independent accounting implementation remains separate. The source hashes bind the entire file, while the AST checks identify the precise clauses that were reviewed. The changed-source, query-tariff and raw-tariff controls reject; the two actual source files are positive fixtures. + +The wrapper recomputes the declared ordinary expression using the actually replayed 609/611 event counts and requires exact values 254699248/254932208. This establishes arithmetic under the copied source formula. It does not prove the physical 32-per-field rate, local 10^7 allowance, routing costs or ultimate 10^9 bound. The receipt key `declared_ordinary_bounds` and the pricing receipt's explicit scope keep that distinction visible. The complete Gaussian delta continues to cancel the exact same 18 native invocations under the shared native contract; the two extra ordinary translations are neither omitted nor declared free. + +I ran the pricing binding directly under isolated optimized Python. It passed and produced exactly the integrated pricing receipt, so no stale clause-binding receipt was found. The aggregate now contains 29 internal rejection controls: 11 primary caller, 7 accounting, 4 retained cut, 4 full-endpoint and 3 pricing. External corruption/provenance controls are separate evidence and should not be silently included in that count. + +## Integrity and the external trust anchor + +`verify.py` now correctly names its portable source check **integrity**. It checks both hashes and the exact source-file inventory before importing only the new audit modules. It gives those imports a fresh bytecode-cache namespace and launches the separate endpoint checker with its own temporary cache. The default compares the freshly computed aggregate with RESULT; `--emit` is explicit. No source pricing code, constructor or predecessor scientific verifier executes. + +`check_source_objects.py` adds a separate, optional provenance operation. It requires an externally supplied full publication commit, reads that commit's RETAINED manifest with replacement objects disabled, requires the working manifest to equal it, and compares working retained inputs with each declared source commit/path and blob identity. It never fetches. This is an appropriate narrow source-object check when the publication pin and checker are obtained through a trusted channel. + +A material boundary is explicit: that optional check anchors the manifest and **working retained source files**. It does not by itself validate all source copies, audit code or RESULT stored in the publication commit, establish a GitHub repository's ownership of an object, or authenticate its own executable. The separate committed-byte preflight and trusted acquisition of the checker/publication pin remain necessary. I notified the lead to preserve this distinction in the documentation; no change to the code was needed. + +The recorded positive 20-file check and consistent-substitution rejection use the old 13e880a publication manifest. That is a meaningful control of the external-anchor boundary: a joint harmless source/manifest substitution can pass portable integrity while failing the anchored comparison. It is not a recorded pass of the expanded 22-file manifest at a new publication commit. The lead must run the tool again with the new final publication pin before claiming that new pass. + +Independently of that future publication step, I compared every current retained source directly to its exact original Git object with `--no-replace-objects`: all 22 match. In contrast to the first review, PR6398's original commit is now available locally and all four of its copies matched directly. The earlier retention-chain fallback is superseded for this source-comparison observation only; it did not change any source bytes. + +## Actual review operations + +All operations ran from the intended checkout after sourcing `/workspace/.integer-mult-env/activate`. I read the expanded scripts and current aggregate/input manifests, recorded the eight hashes above, inspected the source-comparison/provenance-control evidence, compared the integrated CRT JSON with the independently sealed JSON, and queried each exact source using: + +```text +git --no-replace-objects show SOURCE_COMMIT:SOURCE_PATH +``` + +Each source command had a ten-second timeout and captured output; all 22 returned 0 and matched the corresponding copied bytes. I also ran: + +```sh +python -I -O -B research/pr6551-retirement-audit/pricing_binding.py research/pr6551-retirement-audit/source/pr6545/pricing.py research/pr6551-retirement-audit/source/pr6551/pricing.py +``` + +It returned 0 in 0.182039 seconds; all three controls passed and the JSON equaled `RESULT.json`'s pricing section. Exact arguments and comparison outcomes are in the companion reviewer check record. No full registered replay, exporter, artifact regeneration, Git mutation, public write or nested agent was run during this final integration review. No additional source dependency was installed. + +## Remaining publication and scientific work + +The lead's serialized registered replay, export/cold replay, committed-byte check and new-publication source-object check must bind the integrated snapshot before publication. Code, source or receipt changes invalidate the corresponding hashes above and require targeted rechecking. Docs-only corrections do not establish or invalidate a new scientific theorem by themselves. + +No numerical crossing, changed completion tail, compiler, outer theorem, physical native/operator tariff, all-width realization, erasure, precision or tape claim is added here. The five inherited framework assumptions remain. Construction and retirement credit remain with Ali Romman and the retained predecessor authors; new audit work is prepared for DLamdata with substantial OpenAI Codex assistance, Apache-2.0. diff --git a/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md b/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md new file mode 100644 index 0000000000..6eac75df93 --- /dev/null +++ b/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md @@ -0,0 +1,42 @@ +# Verification after Claude's review + +This follow-up keeps the exact #6551/#6545 construction pins and mathematical claim of original contribution `13e880a734cc03f2a52c82a412a9a0e6ac2b1f0c`. It expands the second engine to both full endpoints, retains and binds the two pricing sources, and separates local integrity from optional Git-object provenance. [EXTERNAL-REVIEW.md](EXTERNAL-REVIEW.md) distinguishes Claude Code / Claude Opus 5.5's reported review of the original snapshot from the new GPT-6 Astra / Codex implementation and internal review. + +## Current scientific evidence + +CPython 3.12.14, Linux x86_64, standard library only. Actual commands from the activated contribution checkout: + +```sh +python3 -B scripts/research_package.py --package research/pr6551-retirement-audit +python3 -I -B research/pr6551-retirement-audit/verify.py +python3 -I -O -B research/pr6551-retirement-audit/verify.py +``` + +All pass. The registered normal/optimized pair took 3.702 seconds; additional direct runs took 1.609 and 1.778 seconds and reproduced RESULT.json byte-for-byte. RESULT SHA256 is `8c6a7c6fc8872b8de465ebd3101428c9344aed3d93bf82a1a930f183802c8c13`. The measuring process's cumulative child high-water mark was 95,784 KiB. Every subprocess had a 120-second outer limit, with the integrated four-fiber child additionally bounded at 30 seconds. Exact commands, timestamps/source context, elapsed measurements and logs are in [evidence/followup](evidence/followup). + +The integrated receipt contains 26 semantic failures (11 primary caller, seven accounting, four cut, four changed-suffix) plus three source-contract failures. New suffix controls pass the earlier cut/lifetime checks before failing specific endpoint coefficients; a valid inverse-pair suffix edit passes. These distinguish useful coverage from blanket rejection of changed files. Three external optimized corruption controls also reject modified caller bytes, native archive bytes and expected receipt; [external-corruptions.json](evidence/followup/external-corruptions.json) records exact error strings. These controls demonstrate integrity and recomputation, not origin authentication. + +All 22 retained inputs match their exact original Git objects, including the four #6398 files and two newly retained pricing sources. [direct-source-comparison.json](evidence/followup/direct-source-comparison.json) records the byte comparison. The optional anchored checker additionally passes all 20 original inputs under the original contribution pin and rejects a consistent manifest/source substitution accepted by the portable old replay; [provenance-control.json](evidence/followup/provenance-control.json) records that deliberately different trust boundary. New-publication comparison is part of the committed-byte check below. + +[scientific-inventory.json](evidence/followup/scientific-inventory.json) records the hashes of scientific programs, frozen inputs, RESULT and argument/review-boundary documents. It excludes subsequent publication receipts and validation records to avoid self-referential hashes; it is an integrity record, not an external trust anchor. Three reviewed wording fixes after the first integrated run did not change programs, inputs or RESULT. Original logs and FINAL-REVIEW.md remain historical snapshots and are not relabelled as review of the new checker. + +## Committed-byte and export procedure + +The publication process runs these commands on the exact committed scientific snapshot and repeats them on the final evidence commit: + +```sh +python3 -B scripts/check_research_commit.py --package research/pr6551-retirement-audit --check-source-history --check-modes +python3 -I -B research/pr6551-retirement-audit/check_source_objects.py --repository . --publication-commit FULL_TESTED_COMMIT +python3 -B scripts/export_research_package.py export --package research/pr6551-retirement-audit --ref FULL_TESTED_COMMIT --output /tmp/retirement-audit.tar +python3 -B scripts/export_research_package.py check /tmp/retirement-audit.tar +``` + +After integrity checking, extraction occurs outside the checkout. Every exported file is made read-only, Git metadata is absent, PATH is empty, and both direct isolated Python modes run from the exported root. Full file hashes and modes are compared before/after. The frozen scientific inventory must still match. An evidence commit can retain receipts for its parent but cannot embed its own commit identifier; each retained receipt must therefore name its actual tested commit, and the final exact-head check is reported separately in the PR publication record. No claim of final-head evidence is inferred from a parent's receipt alone. + +## Review, continuity and limits + +The final code review and documentation review are separate AI roles using the same GPT-6 Astra model family. Findings and resolutions are preserved in FOLLOWUP-REVIEW.md and DOCUMENTATION-REVIEW.md. The external Claude review applies to the earlier snapshot only. Shared opcode, physical tariff and Python rational-arithmetic assumptions remain; agreement is not a proof of those assumptions. + +Canonical upstream was refreshed at the time recorded in [context-refresh.json](evidence/followup/context-refresh.json) and remained `7c49fe32c55de02c2c873655c804b16e4c3fef0a`, priority revision 8. All three predecessor heads were unchanged. The bounded live overlap refresh found no competing exact audit; its stated partial coverage is not evidence of novelty. + +No native/all-width physical replay, physical ordinary-rate proof, numerical crossing, completion-tail, compiler or outer replay, selected-construction replay, historical full suite, Lean or Docker run was needed or performed. All five framework assumptions remain. Remote CI and draft/maintainer status must be reported separately. Next useful work remains a separately derived rational audit of the changed completion-tail parameters. diff --git a/research/pr6551-retirement-audit/PRICING-SOURCE-MAP.md b/research/pr6551-retirement-audit/PRICING-SOURCE-MAP.md new file mode 100644 index 0000000000..93c10d48f3 --- /dev/null +++ b/research/pr6551-retirement-audit/PRICING-SOURCE-MAP.md @@ -0,0 +1,74 @@ +# Binding the independent counts to the declared source tariff + +**Verdict:** the independent accounting uses the exact recursive tariff declared in both pinned pricing sources, on the domain that the audit enforces. Retaining those sources, checking their local integrity, and comparing them with pinned Git objects plus this explicit contract map is sufficient for a source-bound accounting claim. The accompanying AST checker adds a useful fail-closed guard against silently reusing this reviewed contract after a tariff edit. Neither a source hash nor an AST match proves physical validity of that contract. + +Sources are #6545 `775722aa94a5e85b05d1d704d7dca10cbf016f0c`, `research/gaussian-root-retirement/pricing.py`, and #6551 `11ca568cd1a16776ade02b4df09ea04a784cc674`, `research/retirement-rebalanced-query-tree/pricing.py`. Source SHA256 values are recorded in `evidence/followup/pricing-binding.json`. No source pricing, native, controller or compiler module was imported or executed for this review. + +## Exact source map + +Line references below are to these exact copied files; their one-line offset is intentional. + +| Declared contract | #6545 source | #6551 source | Independent check and boundary | +|---|---|---|---| +| LOCAL adds the local paid profile and productive helper profile once | `assemble`, lines 35–37 | `assemble`, lines 36–38 | `accounting.inspect_caller` requires each stage 1…18 exactly once. The retained native archive and exact native word are identical, so these common terms cancel. This is cancellation under a common declared local-call contract, not a new native replay. | +| QUERY pays 104 rank-one jobs | `assemble`, lines 38–39 | `assemble`, lines 39–40 | One job per port; the native word has 104 distinct ports. All seventeen thin queries are counted. | +| IDLE pays 208 jobs of rank `8*len(stages)`; IDLE_ONE pays 104 | `assemble`, lines 40–44 | `assemble`, lines 41–45 | The independent code counts two or one jobs per port and verifies every actual binary-node stage set and both additional root idles. | +| Main target rank is `q%2 + 8*sum(stage exponents)`, with multiplicity 104 | `assemble`, lines 45–48 | `assemble`, lines 46–49 | The independent code enforces q∈{−1,0,1}, binary stage exponents, and stage-zero exponent 0. Thus its `abs(q)+8*sum(fresh exponents)` is identical on the audited domain. Outside that domain the independent code fails rather than extrapolating. | +| Actual main/idles must agree with native physical-map census | `assemble`, lines 49–50 | `assemble`, lines 50–51 | These are source checks, not re-executed by this audit. They explain the physical premise that remains. The independent full caller establishes the formal endpoint, while phase/rank realization still belongs to the retained native contract. | +| Retirement target substitution | `assemble`, line 52 | `assemble`, line 53 | Old adds `{1:104,16:104,17:−104}`; new adds `{1:104,40:104,41:−104}`. Independent traversal derives these changes from actual root masks, leaf sets, and endpoints; it does not call `formula_invoice`. | +| All source helper targets have native maps | `assemble`, line 32 | `assemble`, line 33 | Source assertion is retained; independent accounting checks the native archive identity and counts its structure but does not prove the asserted native maps. | +| Ordinary local route allowance | `run`, lines 134–136 | `run`, lines 136–138 | `(sum(local paid)+helper_normalizers+main_adapters+4*104+4*owned_lifetimes)*1000`, added to `real_scalar_allowance`, must fit `10^7`. This local physical rate is inherited, not recomputed by the independent audit. | +| Complete ordinary upper bound | `run`, line 137; budget line 143 | `run`, line 139; budget line 145 | The same declared expression includes every literal caller event; the two extra translations therefore receive a nonzero allowance. Exact arithmetic is below. | + +ADD, SWAP, SCALE, LAMBDA and Q_POWER have no direct Gaussian tariff branch in `assemble`. That does **not** mean they cost zero. They belong to the ordinary allowance in `run`. The audit separately recognizes all event kinds, requires Q_POWER exponents ±2, and records every ordinary event. For q⁴=1 those exponents are the inherited q² translation. The ordinary nature of its physical realization is a source premise, rather than a consequence of merely classifying its opcode. + +The candidate's `verify.py` `Extension.run` passes the same `local`, `native` and `L` to the predecessor invocation at line 88 and the new price calculation at line 136; it passes `native_word` to the new physical check at line 131. It changes the tree/caller, not those native profiles. The retained #6545 `physical.py` separately spells out Q² translation at lines 49–58, target rank/phase interpretation at lines 59–66, and whole-idle ranks and multiplicities at lines 67–85; those functions were read, not executed. This data flow supports cancellation; the immutable native archive separately binds the word bytes. It does not turn the shared local tariff into an independent physical theorem. + +## Exact ordinary arithmetic under the retained tariff + +Both sources declare + +```text +raw = 18·10^7 + 17·1664 + 32·35·104·number_of_events + 35·104·(26+1000). +``` + +Literal caller lengths are 609 and 611. The resulting breakdown is: + +| Term | #6545 | #6551 | +|---|---:|---:| +| Eighteen local allowances | 180,000,000 | 180,000,000 | +| Seventeen query allowances | 28,288 | 28,288 | +| All caller events | 70,936,320 | 71,169,280 | +| Final field allowance | 3,734,640 | 3,734,640 | +| Declared total upper bound | **254,699,248** | **254,932,208** | + +The difference is exactly `2·32·35·104 = 232,960`, and both are below the source's `10^9` allowance. These are evaluations of the pinned declared tariff. The constants 1000, 1664, 32 and 26 and the physical meaning of an ordinary primitive have not been independently justified here. In particular, “the extra translations are funded under the same declared allowance” is supported; “this proves the physical bound” is not. + +## Minimal fail-closed binding + +`pricing_binding.py` reads and hashes both source files, parses them with `ast`, and compares the reviewed `assemble` prefix and ordinary-formula/budget statements with explicitly labelled source-contract fragments. It never imports, evaluates or executes source code. Whole-file source pins prevent hidden edits outside those fragments from being silently accepted. AST comparison only identifies the reviewed clauses; the separate accounting algorithm continues to derive the invoice from actual tree and caller data. + +Three controls reject: + +1. A changed QUERY tariff fails the immutable source pin. +2. The same changed QUERY tariff also fails direct clause comparison when the pin boundary is deliberately skipped for that control. +3. Changing the per-event ordinary factor 32 to 31 fails direct clause comparison. + +The second and third controls show that regenerating a source pin alone cannot make the unchanged reviewed contract accept a changed tariff. They do not certify either old or new tariff mathematically. A changed source requires a new source review, explicit contract update, and rerun of affected evidence. Keep the fragments labelled as copied source clauses with predecessor credit; do not describe them as an independent physical semantics implementation. + +Normal and optimized Python 3.12.14 runs pass with byte-identical reports. Reproduction: + +```sh +python -I -B pricing_binding.py PATH/pr6545/pricing.py PATH/pr6551/pricing.py +python -I -O -B pricing_binding.py PATH/pr6545/pricing.py PATH/pr6551/pricing.py +``` + +The source-binding report is `evidence/followup/pricing-binding.json`, the exact integer arithmetic is `evidence/followup/ordinary-arithmetic.json`, and the observed optimized command/status is `evidence/followup/pricing-run.json`. The check is under one second and uses only the standard library. The integration retains both pricing files as immutable inputs in the package's source manifest; no full native or price replay is justified by this narrow source-binding addition. + +## Limits and wording + +This resolves the ambiguity between an arbitrary hardcoded accounting model and the actual declared source billing model. It does not close physical native admission, all-width implementation, numerical κ, completion decay, compiler, precision, or analytic recovery. The exact finite caller identity, strict concave invoice gain, source tariff binding and physical assumptions should remain separate evidence statements. + +Suggested concise result wording: “The complete formal callers and independent retirement cut pass, and the independently counted Gaussian invoice delta is positive throughout 0 0, H_r=r^t, 0=0 for x in d[1:]),'endpoint formal stage signature') + fibers=[] + for q in [O,(-F(1),F(0)),I,(F(0),-F(1))]: + for output in range(35): + got=replay_vector(word['events'],q,reverse=True,target=output) + d=diagonal[output] + expected=[{} for _ in range(35)] + expected[output]={tuple(d[1:]):power(q,d[0])} + if got!=expected: + coordinate=next(i for i in range(35) if got[i]!=expected[i]) + raise EndpointMismatch({'q':[str(x) for x in q], + 'output':output,'input':coordinate, + 'actual':encode_poly(got[coordinate]), + 'expected':encode_poly(expected[coordinate])}) + fibers.append({'q':[str(x) for x in q], 'output_rows':35, + 'coefficient_positions':35*35}) + return {'fibers':fibers,'events':len(word['events']), + 'coefficient_positions_per_fiber':35*35, + 'total_coefficient_positions':4*35*35, + 'formal_stage_variables':list(range(1,19)), + 'stage_zero_retained_and_zero_in_target':True} + + +def endpoint_reject(label,word): + # Require an actual transfer disagreement; a schema or cut failure is not + # accepted as evidence that the independent suffix calculation detected it. + try: + full_endpoint(word) + except EndpointMismatch as exc: + return {'control':label,'rejected_by':'full formal endpoint mismatch', + 'witness':exc.witness} + raise ValueError('accepted endpoint mutant: '+label) + + +def shared_region(a,b): + old,new=a['events'],b['events'] + prefix=0 + while prefix= 0 else b) + need(derivative_upper < 0, 'Unique raw crossing below the BIT cap') + need(margin(lower)[0] > 0 and margin(upper)[1] < 0, 'Strict rational crossing enclosure') + endpoints = {} + for label, k in [('lower', lower), ('upper', upper)]: + tl, th = other.moment(T, k) + pl, ph = other.moment(P, k) + second = (tl-ph, th-pl) + first = margin(k) + need(max(first[0], second[0]) <= min(first[1], second[1]), + 'Both rational engines agree at the raw endpoint') + need(second[0] > 0 if label == 'lower' else second[1] < 0, + 'The second engine certifies both raw endpoint signs') + endpoints[label] = {'first': E.display(first), 'second': E.display(second)} + need(PREVIOUS < KAPPA < TESTED < lower, 'The claim and tested saving are below the raw crossing') + t, offset, power, cutoff, floor = 1-TESTED, Q(1, 7), 1920, 12, 13 + target, paid = E.moment(T, t), E.moment(P, t) + tl, th = other.moment(T, TESTED) + pl, ph = other.moment(P, TESTED) + need(tl > ph and max(tl, target[0]) <= min(th, target[1]) + and max(pl, paid[0]) <= min(ph, paid[1]), 'Two independent rational moment engines') + alpha = E.divide(paid, target) + gamma = E.divide(E.moment(P, t+offset), E.mul(E.power(cutoff, offset), target)) + delta = E.divide((Q(sum(T.values())*floor),)*2, E.mul(E.power(cutoff, TESTED), target)) + reserve, decay = Q(1, 10**29), Q(31, 32) + need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All charged tail ratios') + need(power % 128 == 0 and decay**128 < Q(1, 16), 'The previous block estimate applies') + coarse_tail = 4*Q(1, 16)**(power//128) + need(1/(1+power*reserve)+coarse_tail > 1, 'The coarse tail bound cannot fund this claim') + exact_tail = 4*decay**power + normalized = 1/(1+power*reserve)+exact_tail + need(normalized < 1 and cutoff**64 < floor**63, 'Completion, splitting and rounding') + theta, logarithm_power = Q(63, 64), 2100 + # Keep each exponential inside the retained engine's proved domain. + half = E.power(145, Q(power, 2)*TESTED) + factor = E.mul(half, half) + eta = E.scale(E.divide((Q(1), Q(1)), factor), t) + need(2*(cutoff**power)**64 <= (145**power)**63 + and eta[0] > theta**logarithm_power, 'Shifted exits and complement capacity') + need(factor[1] < 2**logarithm_power, 'Compiler initial range') + gap = (TESTED-KAPPA)/7 + need(gap.numerator == 1, 'Exact compiler integer grid') + step = gap.denominator + def wins(j): + return (step*j+1)**logarithm_power < 2**j + left, right = 1, 2 + while not wins(right): + left, right = right, 2*right + while right-left > 1: + middle = (left+right)//2 + if wins(middle): + right = middle + else: + left = middle + H = step*right + need(H > 8*power and wins(right) and not wins(right-1), 'Uniform threshold and adjacent-grid rejection') + local_routes = (sum(local['paid'].values())+native['helper_normalizers'] + +native['main_adapters']+4*104+4*local['owned_lifetimes'])*1000 + need(local['real_scalar_allowance']+local_routes < 10**7, 'Every local ordinary operation is funded') + raw = 18*10**7 + 17*1664 + 32*35*104*len(word['events']) + 35*104*(26+1000) + need(all(abs(Q(e[-1])) <= 16 for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted scalar coefficient has the declared growth bound') + need(all(Q(e[-1]).denominator & (Q(e[-1]).denominator-1) == 0 + for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted rational scalar is dyadic') + need(raw < 10**9, 'Complete ordinary-work budget') + bit = L.read(L.ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom = Q(bit['atom']) + ordinary = (1-atom)*Q(bit['after_cover']) + atom*Q('.0000384599') + admitted = Q(bit['admitted']) + need(atom > ordinary > admitted > TESTED and atom < 1-ordinary, 'Retained BIT admission and stock') + outer_module = L.load(L.ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py', 'balanced_outer') + params = {'kappa': KAPPA, 'tested_saving': TESTED, 'complex_uniform_saving': KAPPA+6*gap, + 'b': KAPPA+5*gap, 'a': KAPPA+4*gap, 'q': KAPPA+3*gap, 'bit_saving': admitted, + 'epsilon': 1-gap, 'beta': 1-3*gap, 'r0': gap/10, 'stop': gap, 'layout': gap, 'd': gap} + outer = outer_module.ledger(params) + outer['functional_checks']['actual_new_BIT_stock_sublinear'] = params['beta']*(1-atom) + need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Full outer predicate inventory') + need(all(x > 0 for key in ('strict_checks', 'functional_checks') for x in outer[key].values()), 'Every outer inequality is strict') + old_completion = E.divide((Q(sum(T.values())*17),)*2, E.mul(E.power(16, TESTED), target)) + need(old_completion[0] > 1, 'The old completion cutoff does not fund the new inventory') + bad = outer_module.ledger(dict(params, bit_saving=Q('.0027'))) + need(any(x <= 0 for x in bad['strict_checks'].values()), 'Insufficient BIT saving rejected') + return encode({'kappa': KAPPA, 'kappa_decimal': '0.00329394', 'previous_fixed_root': PREVIOUS, + 'refinement_kind': 'Independent Gaussian retirement changes the complete productive profile.', + 'gain': KAPPA-PREVIOUS, 'relative_gain_percent': 100*(KAPPA/PREVIOUS-1), + 'raw_root_interval': [lower, upper], 'raw_headroom': [lower-KAPPA, upper-KAPPA], + 'raw_endpoint_margins': endpoints, + 'derivative_upper': derivative_upper, 'margin_at_previous': E.display(margin(PREVIOUS)), + 'targets': T, 'paid': P, 'productive_fields': sum(T.values()), 'paid_calls': sum(P.values()), + 'rank_mass_surplus': 760, 'full_forward_calls': 18, 'thin_queries': 17, + 'whole_idle_jobs': 3120, 'strictification': { + 'tested': TESTED, 'power': power, 'cutoff': cutoff, 'floor': floor, + 'tail_offset': offset, 'reserve': reserve, 'tail_decay': decay, + 'exact_tail_upper': exact_tail, 'coarse_tail_upper': coarse_tail, + 'alpha': E.display(alpha), 'gamma': E.display(gamma), 'delta': E.display(delta), + 'normalized_paid_upper': normalized}, + 'compiler': {'theta': theta, 'logarithm_power': logarithm_power, 'eta': E.display(eta), + 'gap': gap, 'H': H, 'N': '2^'+str(H), 'integer_test_exponent': right, + 'uniform_saving': params['complex_uniform_saving'], 'word_materialized': False}, + 'nonrecursive': {'local_scalar': local['real_scalar_allowance'], 'local_routes': local_routes, + 'raw_scalar_upper': raw, 'raw_budget': 10**9, + 'peak_owned_fields': local['peak_owned_fields'], + 'scalar_growth_bound': 'At most 2^(10^9 + R*f), where R is the full paid rank mass.', + 'paid_rank_mass': sum(r*n for r, n in P.items())}, + 'ordinary_BIT': bit, 'outer': outer, + 'negative_controls': {'old_completion': 'Cutoff16 and floor17 give a ratio above one.', + 'old_BIT': 'An outer inequality fails at BIT saving0.0027.', + 'coarse_tail': 'The block tail bound cannot fund this near-limit claim.'}}) diff --git a/research/pr6551-retirement-audit/source/pr6551/pricing.py b/research/pr6551-retirement-audit/source/pr6551/pricing.py new file mode 100644 index 0000000000..b659d28e3d --- /dev/null +++ b/research/pr6551-retirement-audit/source/pr6551/pricing.py @@ -0,0 +1,189 @@ +"""Check the complete mixed-projector-root invoice and outer transfer. + +The interval and compiler bounds are by zxv and Cao Yifan. The productive +recursion is by Jacob Alan Sussman. The source price adapter is by Ali Romman. +The source lifts and tree invoice are by Ali Romman, with OpenAI Codex +assistance. This adapter keeps the native word and the retirement identity. +It includes all nine output contractions and their productive target debits. +This adaptation changes the last two child trees under the PR6545 retirement. +The original sources retain their credit. Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +from tree_invoice import formula_invoice, need + +KAPPA = Q('0.00329492') +TESTED = Q('0.003294925') +PREVIOUS = Q('0.00329394') + + +def encode(value): + if isinstance(value, Q): + return str(value) + if isinstance(value, dict): + return {str(k): encode(v) for k, v in value.items()} + if isinstance(value, (tuple, list)): + return [encode(v) for v in value] + return value + + +def assemble(local, native, word, physical): + paid, targets = Counter(), Counter() + counts = Counter(e[0] for e in word['events']) + need(local['helpers'] == native['helpers'], 'All source helper targets have native maps') + idle = Counter() + for event in word['events']: + if event[0] == 'LOCAL': + paid.update(local['paid']) + targets.update(local['helpers']) + elif event[0] == 'QUERY': + paid[1] += 104 + elif event[0] in ('IDLE', 'IDLE_ONE'): + rank = 8*len(event[3] if event[0] == 'IDLE' else event[2]) + count = 208 if event[0] == 'IDLE' else 104 + paid[rank] += count + idle[rank] += count + main = Counter() + for term in word['diagonal']: + main[int(term[0] % 2)+8*sum(term[1:])] += 104 + targets.update(main) + need(main == physical['main_targets'], 'All main target phases and ranks') + need(idle == physical['whole_idle_jobs'], 'All paired and individual whole idle jobs') + expected_targets, expected_paid = formula_invoice(local) + expected_targets.update({1:104,40:104,41:-104}) + need((targets, paid) == (expected_targets, expected_paid), 'Independent rebalanced tree, retirement delta and emitted-event counts') + need((counts['LOCAL'], counts['QUERY'], counts['IDLE']) == (18, 17, 14) and counts['IDLE_ONE'] == 2 and counts['LAMBDA'] == 34, 'Complete caller census') + need((sum(targets.values()), sum(paid.values())) == (13756, 67096), 'All independent fields and paid calls') + need(sum(r*n for r, n in targets.items())-sum(r*n for r, n in paid.items()) == 760, 'Complete rank-mass surplus') + need((max(targets), max(paid)) == (145, 56), 'Maximum target and paid ranks') + return targets, paid, counts + + +def run(local, native, word, physical, L): + T, P, counts = assemble(local, native, word, physical) + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py', 'balanced_intervals') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py', 'balanced_second_intervals') + def margin(k): + a, b = E.moment(T, 1-k), E.moment(P, 1-k) + return a[0]-b[1], a[1]-b[0] + from root_interval import construct + bracket, _ = construct(E, T, P) + lower, upper = Q(bracket['lower'], bracket['grid']), Q(bracket['upper'], bracket['grid']) + signed = Counter(T) + signed.subtract(P) + cap, derivative_upper = Q('.0034'), Q(0) + for rank, count in signed.items(): + logarithm = E.log_bounds(rank) + a = E.mul(E.power(rank, 1-cap), logarithm)[0] + b = rank*logarithm[1] + derivative_upper -= count*(a if count >= 0 else b) + need(derivative_upper < 0, 'Unique raw crossing below the BIT cap') + need(margin(lower)[0] > 0 and margin(upper)[1] < 0, 'Strict rational crossing enclosure') + endpoints = {} + for label, k in [('lower', lower), ('upper', upper)]: + tl, th = other.moment(T, k) + pl, ph = other.moment(P, k) + second = (tl-ph, th-pl) + first = margin(k) + need(max(first[0], second[0]) <= min(first[1], second[1]), + 'Both rational engines agree at the raw endpoint') + need(second[0] > 0 if label == 'lower' else second[1] < 0, + 'The second engine certifies both raw endpoint signs') + endpoints[label] = {'first': E.display(first), 'second': E.display(second)} + need(PREVIOUS < KAPPA < TESTED < lower, 'The claim and tested saving are below the raw crossing') + t, offset, power, cutoff, floor = 1-TESTED, Q(1, 7), 1920, 12, 13 + target, paid = E.moment(T, t), E.moment(P, t) + tl, th = other.moment(T, TESTED) + pl, ph = other.moment(P, TESTED) + need(tl > ph and max(tl, target[0]) <= min(th, target[1]) + and max(pl, paid[0]) <= min(ph, paid[1]), 'Two independent rational moment engines') + alpha = E.divide(paid, target) + gamma = E.divide(E.moment(P, t+offset), E.mul(E.power(cutoff, offset), target)) + delta = E.divide((Q(sum(T.values())*floor),)*2, E.mul(E.power(cutoff, TESTED), target)) + reserve, decay = Q(1, 10**27), Q(97, 100) + need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All charged tail ratios') + need(delta[0] > Q(31, 32), 'The source tail decay does not fund this tree') + need(power % 128 == 0 and decay**128 < Q(1, 16), 'The previous block estimate applies') + coarse_tail = 4*Q(1, 16)**(power//128) + need(1/(1+power*reserve)+coarse_tail > 1, 'The coarse tail bound cannot fund this claim') + exact_tail = 4*decay**power + normalized = 1/(1+power*reserve)+exact_tail + need(normalized < 1 and cutoff**64 < floor**63, 'Completion, splitting and rounding') + theta, logarithm_power = Q(63, 64), 2100 + # Keep each exponential inside the retained engine's proved domain. + half = E.power(145, Q(power, 2)*TESTED) + factor = E.mul(half, half) + eta = E.scale(E.divide((Q(1), Q(1)), factor), t) + need(2*(cutoff**power)**64 <= (145**power)**63 + and eta[0] > theta**logarithm_power, 'Shifted exits and complement capacity') + need(factor[1] < 2**logarithm_power, 'Compiler initial range') + gap = (TESTED-KAPPA)/7 + need(gap.numerator == 1, 'Exact compiler integer grid') + step = gap.denominator + def wins(j): + return (step*j+1)**logarithm_power < 2**j + left, right = 1, 2 + while not wins(right): + left, right = right, 2*right + while right-left > 1: + middle = (left+right)//2 + if wins(middle): + right = middle + else: + left = middle + H = step*right + need(H > 8*power and wins(right) and not wins(right-1), 'Uniform threshold and adjacent-grid rejection') + local_routes = (sum(local['paid'].values())+native['helper_normalizers'] + +native['main_adapters']+4*104+4*local['owned_lifetimes'])*1000 + need(local['real_scalar_allowance']+local_routes < 10**7, 'Every local ordinary operation is funded') + raw = 18*10**7 + 17*1664 + 32*35*104*len(word['events']) + 35*104*(26+1000) + need(all(abs(Q(e[-1])) <= 16 for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted scalar coefficient has the declared growth bound') + need(all(Q(e[-1]).denominator & (Q(e[-1]).denominator-1) == 0 + for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted rational scalar is dyadic') + need(raw < 10**9, 'Complete ordinary-work budget') + bit = L.read(L.ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom = Q(bit['atom']) + ordinary = (1-atom)*Q(bit['after_cover']) + atom*Q('.0000384599') + admitted = Q(bit['admitted']) + need(atom > ordinary > admitted > TESTED and atom < 1-ordinary, 'Retained BIT admission and stock') + outer_module = L.load(L.ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py', 'balanced_outer') + params = {'kappa': KAPPA, 'tested_saving': TESTED, 'complex_uniform_saving': KAPPA+6*gap, + 'b': KAPPA+5*gap, 'a': KAPPA+4*gap, 'q': KAPPA+3*gap, 'bit_saving': admitted, + 'epsilon': 1-gap, 'beta': 1-3*gap, 'r0': gap/10, 'stop': gap, 'layout': gap, 'd': gap} + outer = outer_module.ledger(params) + outer['functional_checks']['actual_new_BIT_stock_sublinear'] = params['beta']*(1-atom) + need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Full outer predicate inventory') + need(all(x > 0 for key in ('strict_checks', 'functional_checks') for x in outer[key].values()), 'Every outer inequality is strict') + old_completion = E.divide((Q(sum(T.values())*17),)*2, E.mul(E.power(16, TESTED), target)) + need(old_completion[0] > 1, 'The old completion cutoff does not fund the new inventory') + bad = outer_module.ledger(dict(params, bit_saving=Q('.0027'))) + need(any(x <= 0 for x in bad['strict_checks'].values()), 'Insufficient BIT saving rejected') + return encode({'kappa': KAPPA, 'kappa_decimal': '0.00329492', 'previous_fixed_root': PREVIOUS, + 'refinement_kind': 'Rebalance the last two binary children under the fixed Gaussian retirement.', + 'gain': KAPPA-PREVIOUS, 'relative_gain_percent': 100*(KAPPA/PREVIOUS-1), + 'raw_root_interval': [lower, upper], 'raw_headroom': [lower-KAPPA, upper-KAPPA], + 'raw_endpoint_margins': endpoints, + 'derivative_upper': derivative_upper, 'margin_at_previous': E.display(margin(PREVIOUS)), + 'targets': T, 'paid': P, 'productive_fields': sum(T.values()), 'paid_calls': sum(P.values()), + 'rank_mass_surplus': 760, 'full_forward_calls': 18, 'thin_queries': 17, + 'whole_idle_jobs': 3120, 'strictification': { + 'tested': TESTED, 'power': power, 'cutoff': cutoff, 'floor': floor, + 'tail_offset': offset, 'reserve': reserve, 'tail_decay': decay, + 'exact_tail_upper': exact_tail, 'coarse_tail_upper': coarse_tail, + 'alpha': E.display(alpha), 'gamma': E.display(gamma), 'delta': E.display(delta), + 'normalized_paid_upper': normalized}, + 'compiler': {'theta': theta, 'logarithm_power': logarithm_power, 'eta': E.display(eta), + 'gap': gap, 'H': H, 'N': '2^'+str(H), 'integer_test_exponent': right, + 'uniform_saving': params['complex_uniform_saving'], 'word_materialized': False}, + 'nonrecursive': {'local_scalar': local['real_scalar_allowance'], 'local_routes': local_routes, + 'raw_scalar_upper': raw, 'raw_budget': 10**9, + 'peak_owned_fields': local['peak_owned_fields'], + 'scalar_growth_bound': 'At most 2^(10^9 + R*f), where R is the full paid rank mass.', + 'paid_rank_mass': sum(r*n for r, n in P.items())}, + 'ordinary_BIT': bit, 'outer': outer, + 'negative_controls': {'old_tail_decay': 'The source tail decay 31/32 is below the new completion ratio.', + 'old_completion': 'Cutoff16 and floor17 give a ratio above one.', + 'old_BIT': 'An outer inequality fails at BIT saving0.0027.', + 'coarse_tail': 'The block tail bound cannot fund this near-limit claim.'}}) diff --git a/research/pr6551-retirement-audit/verify.py b/research/pr6551-retirement-audit/verify.py index d4b23a5227..12ffe271a4 100644 --- a/research/pr6551-retirement-audit/verify.py +++ b/research/pr6551-retirement-audit/verify.py @@ -1,4 +1,4 @@ -"""Authenticate frozen inputs and run three isolated audit checks. Apache-2.0. +"""Check frozen-input integrity and run independent audit checks. Apache-2.0. DLamdata with substantial OpenAI Codex assistance. """ import hashlib @@ -17,7 +17,7 @@ def need(ok, message): raise ValueError(message) -def authenticate(root=HERE): +def check_retained_integrity(root=HERE): record = json.loads((root/'RETAINED.json').read_bytes()) seen = set() for item in record['files']: @@ -44,7 +44,7 @@ def load(name): def run(): - authenticated = authenticate() + integrity_count = check_retained_integrity() # These are audit modules, never retained predecessor Python modules. with tempfile.TemporaryDirectory(prefix='retirement-audit-') as temporary: old_prefix = sys.pycache_prefix @@ -52,6 +52,13 @@ def run(): try: caller = load('caller').run() accounting = load('accounting').run(HERE/'source/pr6545', HERE/'source/pr6551') + pricing = load('pricing_binding').run(HERE/'source/pr6545/pricing.py', + HERE/'source/pr6551/pricing.py') + # Evaluation of the explicitly bound SOURCE tariff, not a proof + # that its physical per-operation allowances are valid. + ordinary = {name: 18*10**7 + 17*1664 + 32*35*104*caller[name]['events'] + + 35*104*(26+1000) for name in ('old', 'new')} + need(ordinary == {'old': 254699248, 'new': 254932208}, 'declared ordinary arithmetic') command = [sys.executable, '-I', '-B', '-X', 'pycache_prefix='+str(Path(temporary)/'oracle-cache')] if sys.flags.optimize: command.append('-O') @@ -62,8 +69,9 @@ def run(): finally: sys.pycache_prefix = old_prefix return {'status': 'PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT', - 'authenticated_files': authenticated, 'caller': caller, + 'integrity_checked_files': integrity_count, 'caller': caller, 'accounting': accounting, 'four_fiber_cut': oracle, + 'pricing_source_binding': pricing, 'declared_ordinary_bounds': ordinary, 'scope': 'Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.'} From 7abed1d3cba732b9af0bd9bc0eedcf0b8c65f064 Mon Sep 17 00:00:00 2001 From: Figo Lam Date: Tue, 3 Nov 2026 09:28:01 +0000 Subject: [PATCH 6/6] Record expanded audit source and export verification --- .../FOLLOWUP-VALIDATION.md | 6 + .../evidence/followup/cold-normal.txt | 817 ++++++++ .../evidence/followup/cold-optimized.txt | 817 ++++++++ .../followup/committed-byte-preflight.txt | 1 + .../evidence/followup/direct-normal.txt | 817 ++++++++ .../evidence/followup/direct-optimized.txt | 817 ++++++++ .../evidence/followup/export-check.txt | 1 + .../evidence/followup/export-inventory.json | 306 +++ .../evidence/followup/export.txt | 1 + .../evidence/followup/publication-checks.json | 114 ++ .../evidence/followup/registered.txt | 1637 +++++++++++++++++ .../evidence/followup/source-objects.txt | 162 ++ 12 files changed, 5496 insertions(+) create mode 100644 research/pr6551-retirement-audit/evidence/followup/cold-normal.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/cold-optimized.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/committed-byte-preflight.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/direct-normal.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/direct-optimized.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/export-check.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/export-inventory.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/export.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/publication-checks.json create mode 100644 research/pr6551-retirement-audit/evidence/followup/registered.txt create mode 100644 research/pr6551-retirement-audit/evidence/followup/source-objects.txt diff --git a/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md b/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md index 6eac75df93..94908085a3 100644 --- a/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md +++ b/research/pr6551-retirement-audit/FOLLOWUP-VALIDATION.md @@ -40,3 +40,9 @@ The final code review and documentation review are separate AI roles using the s Canonical upstream was refreshed at the time recorded in [context-refresh.json](evidence/followup/context-refresh.json) and remained `7c49fe32c55de02c2c873655c804b16e4c3fef0a`, priority revision 8. All three predecessor heads were unchanged. The bounded live overlap refresh found no competing exact audit; its stated partial coverage is not evidence of novelty. No native/all-width physical replay, physical ordinary-rate proof, numerical crossing, completion-tail, compiler or outer replay, selected-construction replay, historical full suite, Lean or Docker run was needed or performed. All five framework assumptions remain. Remote CI and draft/maintainer status must be reported separately. Next useful work remains a separately derived rational audit of the changed completion-tail parameters. + +## Recorded committed snapshot + +The expanded scientific snapshot is `092009c8548a520c9913eb905f351c7ce2a4b8cd`. Its committed-byte/history/mode preflight passed on all 75 package files. The optional publication-anchored source check passed on all 22 retained inputs. Export integrity passed; both isolated normal/optimized cold replays reproduced RESULT exactly, and all 76 exported file hashes and modes stayed unchanged. All 37 scientific-inventory entries matched. See [publication-checks.json](evidence/followup/publication-checks.json), [export-inventory.json](evidence/followup/export-inventory.json) and the corresponding `.txt` logs in [evidence/followup](evidence/followup). + +The following evidence commit adds this paragraph and those receipt/log files only. It leaves all scientific-inventory entries unchanged. Its own exact-head preflight, source comparison, export integrity and read-only replays are repeated after committing, and their actual SHA/count/results are reported in the PR body. The 75-file receipt above remains explicitly a receipt for `092009c8548a520c9913eb905f351c7ce2a4b8cd`; it is not relabelled as a receipt for the evidence commit. diff --git a/research/pr6551-retirement-audit/evidence/followup/cold-normal.txt b/research/pr6551-retirement-audit/evidence/followup/cold-normal.txt new file mode 100644 index 0000000000..8c32d16383 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/cold-normal.txt @@ -0,0 +1,817 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "declared_ordinary_bounds": { + "new": 254932208, + "old": 254699248 + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "endpoint_controls": [ + { + "control": "suffix_event363_add_sign", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [], + "input": 20, + "output": 23, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event358_idle_remove_D11", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event371_local_swap_source_destination", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "fresh_diagonal_remove_D11", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 1, + 1, + 1, + 0, + 0, + 0, + 0 + ], + [ + "1", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 0, + 1, + 1, + 1, + 0, + 0, + 0, + 0 + ], + [ + "1", + "0" + ] + ] + ], + "input": 34, + "output": 34, + "q": [ + "1", + "0" + ] + } + } + ], + "endpoint_positive_control": { + "description": "inverse half-ADD pair on arbitrary fresh input in changed suffix", + "events": 613, + "total_coefficient_positions": 4900 + }, + "input_sha256": { + "new": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "old": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "new_full_endpoint": { + "coefficient_positions_per_fiber": 1225, + "events": 611, + "fibers": [ + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "-1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "1" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "-1" + ] + } + ], + "formal_stage_variables": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "stage_zero_retained_and_zero_in_target": true, + "total_coefficient_positions": 4900 + }, + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old_full_endpoint": { + "coefficient_positions_per_fiber": 1225, + "events": 609, + "fibers": [ + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "-1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "1" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "-1" + ] + } + ], + "formal_stage_variables": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "stage_zero_retained_and_zero_in_target": true, + "total_coefficient_positions": 4900 + }, + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "shared_regions": { + "changed_diagonal_roles": [ + 20, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 34 + ], + "changed_new_half_open": [ + 358, + 544 + ], + "changed_old_half_open": [ + 358, + 542 + ], + "common_prefix_events": 358, + "common_suffix_events": 67 + }, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT_AND_ENDPOINTS" + }, + "integrity_checked_files": 22, + "pricing_source_binding": { + "controls": { + "changed_query_tariff_clause": "reviewed tariff prefix", + "changed_raw_tariff_clause": "reviewed raw ordinary formula", + "changed_source_pin": "exact pricing source pin: pr6551" + }, + "coverage": "Immutable bytes and static source clauses only; no pricing source executes, and tariff validity is a retained physical premise.", + "sources": { + "pr6545": { + "clauses": { + "local_budget": { + "first_line": 136, + "last_line": 136 + }, + "local_routes": { + "first_line": 134, + "last_line": 135 + }, + "raw": { + "first_line": 137, + "last_line": 137 + }, + "raw_budget": { + "first_line": 143, + "last_line": 143 + }, + "tariff_prefix": { + "first_line": 30, + "last_line": 48 + } + }, + "sha256": "924820ca1a75324e4a73e43361b9a6907d06d2d6ff56b26464a4e58400a81254" + }, + "pr6551": { + "clauses": { + "local_budget": { + "first_line": 138, + "last_line": 138 + }, + "local_routes": { + "first_line": 136, + "last_line": 137 + }, + "raw": { + "first_line": 139, + "last_line": 139 + }, + "raw_budget": { + "first_line": 145, + "last_line": 145 + }, + "tariff_prefix": { + "first_line": 31, + "last_line": 49 + } + }, + "sha256": "9d69fdfbeb15e80f9cc2637a3c239203b2d8fa0daaf50e51d45a26034b752ef7" + } + }, + "status": "PASS_REVIEWED_PRICING_SOURCE_BINDING" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/followup/cold-optimized.txt b/research/pr6551-retirement-audit/evidence/followup/cold-optimized.txt new file mode 100644 index 0000000000..8c32d16383 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/cold-optimized.txt @@ -0,0 +1,817 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": 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25, + 26, + 27, + 34 + ], + "changed_new_half_open": [ + 358, + 544 + ], + "changed_old_half_open": [ + 358, + 542 + ], + "common_prefix_events": 358, + "common_suffix_events": 67 + }, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT_AND_ENDPOINTS" + }, + "integrity_checked_files": 22, + "pricing_source_binding": { + "controls": { + "changed_query_tariff_clause": "reviewed tariff prefix", + "changed_raw_tariff_clause": "reviewed raw ordinary formula", + "changed_source_pin": "exact pricing source pin: pr6551" + }, + "coverage": "Immutable bytes and static source clauses only; no pricing source executes, and tariff validity is a retained physical premise.", + "sources": { + "pr6545": { + "clauses": { + "local_budget": { + "first_line": 136, + "last_line": 136 + }, + "local_routes": { + "first_line": 134, + "last_line": 135 + }, + "raw": { + "first_line": 137, + "last_line": 137 + }, + "raw_budget": { + "first_line": 143, + "last_line": 143 + }, + "tariff_prefix": { + "first_line": 30, + "last_line": 48 + } + }, + "sha256": "924820ca1a75324e4a73e43361b9a6907d06d2d6ff56b26464a4e58400a81254" + }, + "pr6551": { + "clauses": { + "local_budget": { + "first_line": 138, + "last_line": 138 + }, + "local_routes": { + "first_line": 136, + "last_line": 137 + }, + "raw": { + "first_line": 139, + "last_line": 139 + }, + "raw_budget": { + "first_line": 145, + "last_line": 145 + }, + "tariff_prefix": { + "first_line": 31, + "last_line": 49 + } + }, + "sha256": "9d69fdfbeb15e80f9cc2637a3c239203b2d8fa0daaf50e51d45a26034b752ef7" + } + }, + "status": "PASS_REVIEWED_PRICING_SOURCE_BINDING" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/followup/committed-byte-preflight.txt b/research/pr6551-retirement-audit/evidence/followup/committed-byte-preflight.txt new file mode 100644 index 0000000000..e80a8eea15 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/committed-byte-preflight.txt @@ -0,0 +1 @@ +PASS_RESEARCH_COMMIT_BYTES {"commit": "092009c8548a520c9913eb905f351c7ce2a4b8cd", "files": 75, "package": "research/pr6551-retirement-audit", "executable_modes_checked": true, "source_history_commits": ["7c49fe32c55de02c2c873655c804b16e4c3fef0a"]} diff --git a/research/pr6551-retirement-audit/evidence/followup/direct-normal.txt b/research/pr6551-retirement-audit/evidence/followup/direct-normal.txt new file mode 100644 index 0000000000..8c32d16383 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/direct-normal.txt @@ -0,0 +1,817 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], 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admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} diff --git a/research/pr6551-retirement-audit/evidence/followup/direct-optimized.txt b/research/pr6551-retirement-audit/evidence/followup/direct-optimized.txt new file mode 100644 index 0000000000..8c32d16383 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/direct-optimized.txt @@ -0,0 +1,817 @@ +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles 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100644 index 0000000000..946f9789e6 --- /dev/null +++ b/research/pr6551-retirement-audit/evidence/followup/registered.txt @@ -0,0 +1,1637 @@ +CHECK Frozen-input integrity, two full caller engines including exact CRT, retirement cut, event/tree invoice, 26 semantic and three source-contract rejection controls. +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "declared_ordinary_bounds": { + "new": 254932208, + "old": 254699248 + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "endpoint_controls": [ + { + "control": "suffix_event363_add_sign", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [], + "input": 20, + "output": 23, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event358_idle_remove_D11", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event371_local_swap_source_destination", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "fresh_diagonal_remove_D11", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 1, + 1, + 1, + 0, + 0, + 0, + 0 + ], + [ + "1", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 0, + 1, + 1, + 1, + 0, + 0, + 0, + 0 + ], + [ + "1", + "0" + ] + ] + ], + "input": 34, + "output": 34, + "q": [ + "1", + "0" + ] + } + } + ], + "endpoint_positive_control": { + "description": "inverse half-ADD pair on arbitrary fresh input in changed suffix", + "events": 613, + "total_coefficient_positions": 4900 + }, + "input_sha256": { + "new": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "old": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "literal_shared_events": 345, + "new": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "new_full_endpoint": { + "coefficient_positions_per_fiber": 1225, + "events": 611, + "fibers": [ + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "-1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "1" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "-1" + ] + } + ], + "formal_stage_variables": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "stage_zero_retained_and_zero_in_target": true, + "total_coefficient_positions": 4900 + }, + "old": [ + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "-1", + "0" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "1", + "0" + ], + "q": [ + "0", + "1" + ], + "row_coefficients": 35 + }, + { + "column_coefficients": 35, + "pivot_scalar": [ + "-1", + "0" + ], + "q": [ + "0", + "-1" + ], + "row_coefficients": 35 + } + ], + "old_full_endpoint": { + "coefficient_positions_per_fiber": 1225, + "events": 609, + "fibers": [ + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "-1", + "0" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "1" + ] + }, + { + "coefficient_positions": 1225, + "output_rows": 35, + "q": [ + "0", + "-1" + ] + } + ], + "formal_stage_variables": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "stage_zero_retained_and_zero_in_target": true, + "total_coefficient_positions": 4900 + }, + "positive_control": "cancelling ADD pair at cut input", + "raw_shared_prefix_events": 329, + "shared_regions": { + "changed_diagonal_roles": [ + 20, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 34 + ], + "changed_new_half_open": [ + 358, + 544 + ], + "changed_old_half_open": [ + 358, + 542 + ], + "common_prefix_events": 358, + "common_suffix_events": 67 + }, + "status": "PASS_FOUR_FIBER_RETIREMENT_CUT_AND_ENDPOINTS" + }, + "integrity_checked_files": 22, + "pricing_source_binding": { + "controls": { + "changed_query_tariff_clause": "reviewed tariff prefix", + "changed_raw_tariff_clause": "reviewed raw ordinary formula", + "changed_source_pin": "exact pricing source pin: pr6551" + }, + "coverage": "Immutable bytes and static source clauses only; no pricing source executes, and tariff validity is a retained physical premise.", + "sources": { + "pr6545": { + "clauses": { + "local_budget": { + "first_line": 136, + "last_line": 136 + }, + "local_routes": { + "first_line": 134, + "last_line": 135 + }, + "raw": { + "first_line": 137, + "last_line": 137 + }, + "raw_budget": { + "first_line": 143, + "last_line": 143 + }, + "tariff_prefix": { + "first_line": 30, + "last_line": 48 + } + }, + "sha256": "924820ca1a75324e4a73e43361b9a6907d06d2d6ff56b26464a4e58400a81254" + }, + "pr6551": { + "clauses": { + "local_budget": { + "first_line": 138, + "last_line": 138 + }, + "local_routes": { + "first_line": 136, + "last_line": 137 + }, + "raw": { + "first_line": 139, + "last_line": 139 + }, + "raw_budget": { + "first_line": 145, + "last_line": 145 + }, + "tariff_prefix": { + "first_line": 31, + "last_line": 49 + } + }, + "sha256": "9d69fdfbeb15e80f9cc2637a3c239203b2d8fa0daaf50e51d45a26034b752ef7" + } + }, + "status": "PASS_REVIEWED_PRICING_SOURCE_BINDING" + }, + "scope": "Exact finite caller identities and complete Gaussian invoice delta; no supplier admission or new kappa.", + "status": "PASS_PR6551_INDEPENDENT_RETIREMENT_AUDIT" +} +CHECK Same exact scientific evidence with assertions disabled. +{ + "accounting": { + "caller_sha256": { + "candidate": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da", + "predecessor": "e5c873568b52aab82fc01670de3037b1ba4bedbcb15366f0e5fb38cd786714ed" + }, + "candidate_head": "11ca568cd1a16776ade02b4df09ea04a784cc674", + "complete_paid_counts": [ + 67096, + 67096 + ], + "complete_target_counts": [ + 13756, + 13756 + ], + "controls": { + "missing_rank_one_query": "all binary and root thin queries paid", + "missing_suffix_stage": "tree-to-endpoint productive ranks", + "missing_third_child_idle": "both additional root whole idles paid", + "same_invoice_wrong_field": "returned pivot has only central Q inverse", + "uncancelled_native_invocation": "same ordered LOCAL stage calls", + "unearned_central_target": "tree-to-endpoint productive ranks", + "unpaid_gaussian_as_translation": "ordinary Q-square translation only" + }, + "native_invocations_cancelled": 18, + "native_paid_jobs_per_invocation": 3456, + "native_productive_helpers_per_invocation": 562, + "native_source_sha256": "2e4e49580c51758281bd9e4618f99d38f3a3622117d5c73bae0fce2db3616fa4", + "new": { + "children": [ + 7, + 2, + 5, + 4 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "5": 1, + "7": 1 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 19, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 17, + "24": 4, + "32": 4, + "40": 3, + "56": 2 + }, + "target_per_port": { + "1": 2, + "145": 1, + "17": 17, + "25": 4, + "33": 4, + "40": 1, + "41": 2, + "57": 2, + "73": 2 + } + }, + "old": { + "children": [ + 7, + 2, + 2, + 7 + ], + "internal_nodes": { + "2": 8, + "3": 2, + "4": 2, + "7": 2 + }, + "local_stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18 + ], + "ordinary_events": { + "ADD": 295, + "LAMBDA": 34, + "Q_POWER": 17, + "SCALE": 86, + "SWAP": 126 + }, + "paid_per_port": { + "1": 17, + "16": 18, + "24": 4, + "32": 4, + "56": 4 + }, + "target_per_port": { + "1": 2, + "145": 1, + "16": 1, + "17": 17, + "25": 4, + "33": 4, + "57": 4, + "73": 2 + } + }, + "paid_count_delta": 0, + "paid_delta": { + "16": -104, + "40": 312, + "56": -208 + }, + "paid_rank_mass_delta": -832, + "ports": 104, + "predecessor_head": "775722aa94a5e85b05d1d704d7dca10cbf016f0c", + "scope": "Exact recursive Gaussian invoice delta conditional on the shared native call and ordinary-operation contracts; no native, compiler, price-root, precision, or all-size replay.", + "signed_delta": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_TREE_ACCOUNTING", + "target_count_delta": 0, + "target_delta": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + }, + "target_rank_mass_delta": -832 + }, + "caller": { + "controls": { + "endpoint_preserving_retired_reuse": "returned pivot never reused by suffix", + "missing_IDLE": "full independent caller endpoint", + "missing_IDLE_ONE": "full independent caller endpoint", + "missing_LAMBDA": "full independent caller endpoint", + "missing_LOCAL": "exactly one occurrence of each native stage", + "missing_QUERY": "full independent caller endpoint", + "missing_Q_POWER": "full independent caller endpoint", + "missing_final_cut_ADD": "full independent caller endpoint", + "reuse_retired_output": "full independent caller endpoint", + "unearned_central_target": "full independent caller endpoint", + "wrong_cut_sign": "full independent caller endpoint" + }, + "new": { + "coefficients": 1225, + "endpoint_sha256": "0036324b35eed92d35b567ee97e97c3083a4f6455ddf32afb9672629f6f6de9a", + "events": 611, + "fresh_stages": [ + 10, + 11, + 12, + 13, + 14 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "old": { + "coefficients": 1225, + "endpoint_sha256": "10afd801a9a23f37e7b960585a225d19c017d2e2330e4dcf22cef07cb48ff25b", + "events": 609, + "fresh_stages": [ + 10, + 11 + ], + "handoff_after": 344, + "peak_nonzero_terms": 99 + }, + "status": "PASS_INDEPENDENT_RETIREMENT_CALLER" + }, + "declared_ordinary_bounds": { + "new": 254932208, + "old": 254699248 + }, + "four_fiber_cut": { + "controls": [ + { + "control": "changed_middle_add_sign", + "rejected_by": "pivot row" + }, + { + "control": "changed_input_basis_sign", + "rejected_by": "pivot row" + }, + { + "control": "fresh_input_read_before_handoff", + "rejected_by": "fresh input used before handoff" + }, + { + "control": "retired_input_reused_after_handoff", + "rejected_by": "retired input reused after handoff" + } + ], + "endpoint_controls": [ + { + "control": "suffix_event363_add_sign", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [], + "input": 20, + "output": 23, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event358_idle_remove_D11", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + }, + { + "control": "suffix_event371_local_swap_source_destination", + "existing_cut_checks_pass": true, + "rejected_by": "full formal endpoint mismatch", + "witness": { + "actual": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "2", + "0" + ] + ] + ], + "expected": [ + [ + [ + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1 + ], + [ + "1", + "0" + ] + ] + ], + "input": 0, + "output": 0, + "q": [ + "1", + "0" + ] + } + 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