From f2206e608167995b9b96b7e340b3558f2b578490 Mon Sep 17 00:00:00 2001 From: ToikY <27568617+ToikY@users.noreply.github.com> Date: Wed, 11 Nov 2026 01:57:57 -0800 Subject: [PATCH 1/3] Reuse selected replay navigation for hosted checks Reuse the exact documentation blob carried by #7161 at bb36fc65ee0b161229169505f4840c436c5ca2b9, following #7147 and #7156. --- docs/ci-verification.md | 19 ++++++++++++++++++- 1 file changed, 18 insertions(+), 1 deletion(-) diff --git a/docs/ci-verification.md b/docs/ci-verification.md index 63ba3e9aa8..52b62d0481 100644 --- a/docs/ci-verification.md +++ b/docs/ci-verification.md @@ -1,8 +1,25 @@ # CI verification -## Current selected-family replay: #6030 +## Current selected-family replay: #7000 with #7001 The [selected record](../certificates/selected-result.json) binds conditional +κ = 0.00363005817 to the [application review](research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md), +[validation receipts](research/pr-intake-evidence/pr7000-application/VALIDATION.json), +and [explicit source closure](../certificates/frontier7000-source.json). +`make frontier7000-verify` follows that exact-source selected replay. The review +reuses eleven authenticated preceding executions and records seven fresh serial +application, scalar and complete native-catalogue executions. The earlier +monolithic timeout is retained separately and is not completed coverage. +Consult the receipts for exact commands, source heads and limits. + +The five inherited framework assumptions remain. No complete uniform word, +literal multiplier execution, independent human proof or formal-kernel proof +is asserted. Routine research submissions do not need to rerun this +selected-family replay. The sections below preserve historical checkpoints. + +## Historical selected-family replay: #6030 + +The [historical checkpoint](../certificates/checkpoints/frontier6030.json) binds conditional κ = 0.003125804 to the [proof review](research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md), [validation receipts](research/pr-intake-evidence/pr6030-audit/VALIDATION.json), and [explicit source closure](../certificates/frontier6030-source.json). From a5de6fb272e58809ca95cc2c67919cab5e8b79bc Mon Sep 17 00:00:00 2001 From: ToikY <27568617+ToikY@users.noreply.github.com> Date: Wed, 11 Nov 2026 06:33:29 -0800 Subject: [PATCH 2/3] Bound fixed-prebirth BIT with late exterior correction Credit #7001, #7209, #7244, #7258, #7260, #7264, #7271 and #7272. OpenAI Codex and subagents materially assisted the proof and replay. --- .../bit-late-exterior-compensation/AUDIT.json | 1 + .../bit-late-exterior-compensation/LICENSE | 201 + .../bit-late-exterior-compensation/NEXT.md | 13 + .../bit-late-exterior-compensation/NOTICE | 18 + .../NOTICE-7001 | 26 + .../NOTICE-7244 | 13 + .../NOTICE-7271 | 21 + .../NOTICE-7272 | 20 + .../PEER-BIT-BLOBS.txt | 8 + .../bit-late-exterior-compensation/PROOF.md | 34 + .../PROVENANCE.tsv | 23 + .../bit-late-exterior-compensation/README.md | 28 + .../REPLAY.sha256 | 22 + .../RESULT.json | 329 + .../SOURCES.json | 18 + .../SOURCES.tsv | 18 + .../bit-late-exterior-compensation/TASK.json | 77 + .../VERIFY.json | 20 + .../bit-late-exterior-compensation/audit.py | 166 + .../inputs/pr7209/RESULT.json | 3539 +++ .../inputs/pr7209/verify.py | 347 + .../inputs/pr7244/PROPOSED-CLAIM.json | 65 + .../inputs/pr7258/SUMMARY.json | 159 + .../paired-query-only-bit/EFREE-RESULT.json | 19787 ++++++++++++++++ .../independent/interval_gate.py | 127 + .../retained/inputs/BIT-NATIVE-WORD.json.gz | Bin 0 -> 111747 bytes .../predecessor/bit-price/verify.py | 77 + .../predecessor/round22/SOURCES.tsv | 6 + .../predecessor/round22/verify.py | 398 + .../predecessor/round23/SOURCES.tsv | 9 + .../predecessor/round23/verify.py | 272 + .../predecessor/round24/SOURCES.tsv | 13 + .../predecessor/round24/verify.py | 264 + .../predecessor/round25/AUDIT.json | 1 + .../predecessor/round25/audit.py | 191 + .../bit-late-exterior-compensation/prior.py | 310 + .../bit-late-exterior-compensation/replay.py | 158 + .../bit-late-exterior-compensation/verify.py | 194 + 38 files changed, 26973 insertions(+) create mode 100644 research/bit-late-exterior-compensation/AUDIT.json create mode 100644 research/bit-late-exterior-compensation/LICENSE create mode 100644 research/bit-late-exterior-compensation/NEXT.md create mode 100644 research/bit-late-exterior-compensation/NOTICE create mode 100644 research/bit-late-exterior-compensation/NOTICE-7001 create mode 100644 research/bit-late-exterior-compensation/NOTICE-7244 create mode 100644 research/bit-late-exterior-compensation/NOTICE-7271 create mode 100644 research/bit-late-exterior-compensation/NOTICE-7272 create mode 100644 research/bit-late-exterior-compensation/PEER-BIT-BLOBS.txt create mode 100644 research/bit-late-exterior-compensation/PROOF.md create mode 100644 research/bit-late-exterior-compensation/PROVENANCE.tsv create mode 100644 research/bit-late-exterior-compensation/README.md create mode 100644 research/bit-late-exterior-compensation/REPLAY.sha256 create mode 100644 research/bit-late-exterior-compensation/RESULT.json create mode 100644 research/bit-late-exterior-compensation/SOURCES.json create mode 100644 research/bit-late-exterior-compensation/SOURCES.tsv create mode 100644 research/bit-late-exterior-compensation/TASK.json create mode 100644 research/bit-late-exterior-compensation/VERIFY.json create mode 100644 research/bit-late-exterior-compensation/audit.py create mode 100644 research/bit-late-exterior-compensation/inputs/pr7209/RESULT.json create mode 100644 research/bit-late-exterior-compensation/inputs/pr7209/verify.py create mode 100644 research/bit-late-exterior-compensation/inputs/pr7244/PROPOSED-CLAIM.json create mode 100644 research/bit-late-exterior-compensation/inputs/pr7258/SUMMARY.json create mode 100644 research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/EFREE-RESULT.json create mode 100644 research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/independent/interval_gate.py create mode 100644 research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz create mode 100644 research/bit-late-exterior-compensation/predecessor/bit-price/verify.py create mode 100644 research/bit-late-exterior-compensation/predecessor/round22/SOURCES.tsv create mode 100644 research/bit-late-exterior-compensation/predecessor/round22/verify.py create mode 100644 research/bit-late-exterior-compensation/predecessor/round23/SOURCES.tsv create mode 100644 research/bit-late-exterior-compensation/predecessor/round23/verify.py create mode 100644 research/bit-late-exterior-compensation/predecessor/round24/SOURCES.tsv create mode 100644 research/bit-late-exterior-compensation/predecessor/round24/verify.py create mode 100644 research/bit-late-exterior-compensation/predecessor/round25/AUDIT.json create mode 100644 research/bit-late-exterior-compensation/predecessor/round25/audit.py create mode 100644 research/bit-late-exterior-compensation/prior.py create mode 100644 research/bit-late-exterior-compensation/replay.py create mode 100644 research/bit-late-exterior-compensation/verify.py diff --git a/research/bit-late-exterior-compensation/AUDIT.json b/research/bit-late-exterior-compensation/AUDIT.json new file mode 100644 index 0000000000..66a3e57c25 --- /dev/null +++ b/research/bit-late-exterior-compensation/AUDIT.json @@ -0,0 +1 @@ +{"arbitrary_chart_clock_pool_expansions": [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], "exterior": 114, "protected_mask_classes": 15, "ranks": [148, 148, 100], "source_pool_rank": 128, "status": "PASS_INDEPENDENT_COLUMN_RANK_AND_INTERSECTION_DIMENSIONS", "unrestricted_fixed_trace_expansions": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]} diff --git a/research/bit-late-exterior-compensation/LICENSE b/research/bit-late-exterior-compensation/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/bit-late-exterior-compensation/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/bit-late-exterior-compensation/NEXT.md b/research/bit-late-exterior-compensation/NEXT.md new file mode 100644 index 0000000000..b35be659e7 --- /dev/null +++ b/research/bit-late-exterior-compensation/NEXT.md @@ -0,0 +1,13 @@ +# Next bounded BIT test at the first old observer + +Regenerate the detailed 60-event carrier receipt from exact public sources. + +```sh +python3.12 -I -B replay.py --write-carriers ./changed-carriers.json +``` + +Implement `first_read_compensation.py` using the ordered `carriers` from that receipt and the pinned native word under `inputs/research/paired-query-only-bit/retained/inputs/`. For each carrier MOVE, scan forward from the paid owner to its first old observing or changing event. Follow any earlier transparent SWAP to the new owner. On this pinned word the first old observers are 60 distinct coframed ADDs with the paid owner as the source and with no intervening lineage SWAP. Freeze both touched owner IDs, the chart and the exact post-ADD cut. The 60 selected paid events, all clocks, chart frames and invoices stay fixed. + +For each of the at most 120 correction slots, reconstruct the live coframed old rows and any earlier source perturbations they actually carry. Grant one ordinary additive correction on either touched lane. Propagate the proposed correction and carrier markers through all protected paid operands, exterior outputs, and the marked prebirth observation cuts. Solve the joint exact linear system, requiring each correction to have a source witness at its own clock. Project the surviving recipient responses through `W/U` beyond each old singleton. + +Cap one 60-clock or 120-slot aggregate, or eight minutes. Keep an explicit list of unresolved slots if capped. First price the resulting stock with ordinary work granted free. Stop if it misses 7, 5 or 4 expanded libraries with zero, one or two separate donor split fees. The stricter trial needs 8 or 6 with zero or one. Stop on a negative directed full price or if an extra whole-volume rank-one job is required without displacing old paid work. A passing upper permits one five-minute 545-port signed, ownership and restoration gate. Charge all actual source access, ordinary corrections, copies, routing and returns before a site test. diff --git a/research/bit-late-exterior-compensation/NOTICE b/research/bit-late-exterior-compensation/NOTICE new file mode 100644 index 0000000000..6da58cb835 --- /dev/null +++ b/research/bit-late-exterior-compensation/NOTICE @@ -0,0 +1,18 @@ +This late BIT compensation and fixed-prebirth certificate is Apache-2.0. +OpenAI Codex and subagents materially assisted the proof, implementation and audit. + +Jerry Chen / CubeJerry #7001 and #6726 supply the retained native word, complete +invoice and directed interval implementation. NOTICE-7001 and LICENSE preserve +that source attribution and license. #7209 supplies marked midpoint geometry and +the directed stock tariff. #7258 supplies the fixed marked libraries. #7260 +supplies the original unmarked donor bound and separately paid split fee. + +#7271 supplies the fixed-payload ingress census and exact joint price. #7272 +supplies the 60 exact changed ingress events, the coframed source bases and the +independent fixed-suffix impulse audit. NOTICE-7271 and NOTICE-7272 preserve +predecessor attribution. PROVENANCE.tsv records their public Git blobs. + +Clear1nsight #7244 supplies the complete comparable witness and retained BIT +premise. NOTICE-7244 preserves that attribution. PEER-BIT-BLOBS.txt records the +identity of the exact BIT input files. Nick Petalas #7264 supplies the abstract +two-for-one sharpness comparison. diff --git a/research/bit-late-exterior-compensation/NOTICE-7001 b/research/bit-late-exterior-compensation/NOTICE-7001 new file mode 100644 index 0000000000..32c2936ea0 --- /dev/null +++ b/research/bit-late-exterior-compensation/NOTICE-7001 @@ -0,0 +1,26 @@ +Paired E-free BIT specialization and complete accounting, with substantial +OpenAI Codex assistance, for the integer-multiplication research project. +Apache-2.0; LICENSE is retained from the source project. + +DreamingOfClouds (Claude Opus assistance) receives credit for #6834's chain-root +BIT caller, #6937's E-free roots and the underlying two-chain construction. +@CubeJerry (OpenAI assistance) receives credit for #6980's four-input three-query +identity, separated interval replacement and QUERY-only caller. The complete +#6980 proof is retained byte-for-byte in data/6980_PROOF.md. + +The new contribution specializes that existing caller to the actual #6726 BIT +native, supplies the parity-driven pairing of two real 111-port invocations, +and checks the complete E-free finite/compiler/ordinary budget from the selected +ordinary backend. No general QUERY-only mechanism, chain root or new raw kappa +is claimed as new here. + +independent/bit_review.py and independent/interval_gate.py were written by a +separate OpenAI Codex research worker for an implementation-independent scalar +and arithmetic audit. This is model-run checking, not external human review. + +zxv and retained predecessor authors receive credit for #6726's source-native +export, integer-before-mod2 transfer, complete source checking and admission +framework. Ali Romman and Cinna Davis retain the root/native lineage credit. +The copied arithmetic and native checker retain their original headers; see +retained/NOTICE. The selected .0034 backend retains the source and contributor +credits in data/selected_record.json and data/selected_review.md. diff --git a/research/bit-late-exterior-compensation/NOTICE-7244 b/research/bit-late-exterior-compensation/NOTICE-7244 new file mode 100644 index 0000000000..c31402a4fb --- /dev/null +++ b/research/bit-late-exterior-compensation/NOTICE-7244 @@ -0,0 +1,13 @@ +Prepared for Clear1nsight with substantial OpenAI Codex and ChatGPT Pro +assistance. New work is Apache-2.0. + +ChatGPT Pro identified the symmetric and antisymmetric two-cut mechanism. +OpenAI Codex independently reconstructed the exact timed witness, emitted +the literal candidate, and adapted and executed the source-bound checks. +Credit the exact #7161 funded exit and #7164 application review, Rohan +Arun's #7156 and #7113, Ali Romman's causal-history owned-buffer identity, +Jerry Chen / CubeJerry's timing and exact replay, Matarener's kernels, +dillona's temporal constructor, and ToikY's exact pricing engines. The +selected framework retains the #7000/#7001 contributor and maintainer +credit. Source licenses and predecessor notices remain in the archive +and reference directory. diff --git a/research/bit-late-exterior-compensation/NOTICE-7271 b/research/bit-late-exterior-compensation/NOTICE-7271 new file mode 100644 index 0000000000..ffcf51dba1 --- /dev/null +++ b/research/bit-late-exterior-compensation/NOTICE-7271 @@ -0,0 +1,21 @@ +This BIT funded-ingress census and separately charged split calculation is Apache-2.0. +OpenAI Codex and subagents materially assisted the construction audit, proof and replay. + +Jerry Chen / CubeJerry #7001 and #6726 supply the literal native word, full +invoice and directed interval implementation. NOTICE-7001 and LICENSE preserve +the original attribution and license. + +#7209 supplies the 22 marked banks, their literal rank-seven midpoint geometry, +and the directed stock tariff. #7258 supplies the fixed marked library and +quotient replay. #7260 supplies the 523-port same-chart old-payload census, the +unmarked donor and release argument, and the separate full-volume split tariff. +Exact published source and blob pins appear in PROVENANCE.tsv. + +Clear1nsight #7244 supplies the independently reproduced complete comparator and +retained BIT premise. NOTICE-7244 preserves the original attribution, and +PEER-BIT-BLOBS.txt records the identity of the three exact BIT inputs. + +Nick Petalas #7264 supplies the synthetic sharpness result for the abstract +two-for-one rank bound. This package checks literal old paid ingress and its +directed tariff for the fixed native, and adds the joint price threshold for +changed marked libraries. diff --git a/research/bit-late-exterior-compensation/NOTICE-7272 b/research/bit-late-exterior-compensation/NOTICE-7272 new file mode 100644 index 0000000000..9b832671d0 --- /dev/null +++ b/research/bit-late-exterior-compensation/NOTICE-7272 @@ -0,0 +1,20 @@ +This BIT changed-carrier exterior rank certificate is Apache-2.0. +OpenAI Codex and subagents materially assisted the analysis, implementation and replay. + +Jerry Chen / CubeJerry #7001 and #6726 supply the literal native word, full +invoice and directed interval implementation. NOTICE-7001 and LICENSE preserve +its source attribution and license. #7209 supplies the marked midpoint geometry +and stock tariff. #7258 supplies the fixed marked library and quotient replay. +#7260 supplies the unmarked donor and release argument and full-volume split fee. + +#7271 supplies the 185-port fixed-payload funded-ingress receipt and joint price. +NOTICE-7271 preserves that predecessor's attribution. This package reconstructs +its receipts and uses its exact 60 old ingress events for a changed-payload test. +PROVENANCE.tsv gives the exact public commit, Git blob and SHA-256 of each copy. + +Clear1nsight #7244 supplies the independently reproduced complete comparator and +retained BIT premise. NOTICE-7244 preserves that attribution. PEER-BIT-BLOBS.txt +records the identity of the three exact BIT inputs. + +Nick Petalas #7264 supplies the synthetic sharpness result motivating the +algebra control. The exterior injectivity result uses the literal retained word. diff --git a/research/bit-late-exterior-compensation/PEER-BIT-BLOBS.txt b/research/bit-late-exterior-compensation/PEER-BIT-BLOBS.txt new file mode 100644 index 0000000000..a682360cd0 --- /dev/null +++ b/research/bit-late-exterior-compensation/PEER-BIT-BLOBS.txt @@ -0,0 +1,8 @@ +e54523517d0f03e58352e647c403a5af3e525a57 +100644 blob 575f76487f9999ecc3e7b1b70f9f71bc582ef8a8 research/paired-query-only-bit/EFREE-RESULT.json +100644 blob 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 research/paired-query-only-bit/independent/interval_gate.py +100644 blob b718d6b2848215ad785022106dfa9f871a3d1c0c research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +4156504fa39efb51c550d218a9b94fe69dbce8f6 +100644 blob 575f76487f9999ecc3e7b1b70f9f71bc582ef8a8 research/paired-query-only-bit/EFREE-RESULT.json +100644 blob 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 research/paired-query-only-bit/independent/interval_gate.py +100644 blob b718d6b2848215ad785022106dfa9f871a3d1c0c research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz diff --git a/research/bit-late-exterior-compensation/PROOF.md b/research/bit-late-exterior-compensation/PROOF.md new file mode 100644 index 0000000000..d82acf2940 --- /dev/null +++ b/research/bit-late-exterior-compensation/PROOF.md @@ -0,0 +1,34 @@ +# Late exterior corrections and fixed prebirth propagation + +Use the exact retained BIT native and invoice from Jerry Chen / CubeJerry [#7001](https://github.com/CrocSwap/integer-mult-bounds/pull/7001) and [#6726](https://github.com/CrocSwap/integer-mult-bounds/pull/6726) at canonical commit `e54523517d0f03e58352e647c403a5af3e525a57`. The marked geometries and tariff come from [#7209](https://github.com/CrocSwap/integer-mult-bounds/pull/7209). [#7258](https://github.com/CrocSwap/integer-mult-bounds/pull/7258) supplies the fixed marked libraries and [#7260](https://github.com/CrocSwap/integer-mult-bounds/pull/7260) supplies the old unmarked donor census and split fee. Clear1nsight [#7244](https://github.com/CrocSwap/integer-mult-bounds/pull/7244) supplies the complete comparable witness and retained BIT premise. + +The fixed-payload census in [#7271](https://github.com/CrocSwap/integer-mult-bounds/pull/7271) at `8cff2624a060329db55f3858367082b5efe37be3` reconstructs the old paid rank-seven ingress and establishes the joint 7/5/4 price threshold. [#7272](https://github.com/CrocSwap/integer-mult-bounds/pull/7272) at `1361516464d47b052264f2a4a9b879e978509fab` permits changing the 60 selected paid payloads and proves exterior injectivity for the unchanged literal suffix. Here we grant late exterior correction, then drop every paid and exterior constraint in a stronger reachability test. Both tests use the exact #7272 148-dimensional coframed change library and old propagation to the marked prebirth clocks. The exact word and independent predecessor audit give no earlier carrier marker in any later selected paid input or peer source. + +## Late coefficient ranks + +Propagate the 60 independent carrier markers through the old literal word. Protect the 2,266 other nonterminal paid operands and leave all 545 rank-eight terminal operands deferred. For each of the 114 exterior outputs, let `H_e` be the span of the old coframed source rows granted to that output. A late correction can cancel the perturbation only if it is in `H_e`. Taking the coefficient equations modulo `H_e` expresses this condition. The test grants independent access to each allowed library and leaves ordinary preparation, retention, routing, ownership, restoration, precision and tape costs free in the upper bound. + +| Late source scope | Coefficient rank | Kernel dimension | Expanded singleton libraries | +| --- | ---: | ---: | ---: | +| Final unchanged coframed live peers | 148 | 0 | 0 | +| Marker-free historical coframed rows | 148 | 0 | 0 | +| All old historical coframed rows retained for free | 100 | 48 | 0 | +| All protected-paid and exterior constraints waived | 0 | 148 | 0 | + +The independent audit reconstructs each source library by a set-valued marker replay and checks the ranks of its exact coefficient columns. It separately verifies the fixed prebirth obstruction by granting each carrier source direction independently wherever that carrier's marker appeared at an admissible old cut. This enlarges the possible response even relative to the unconstrained kernel. + +## Quotient at the fixed prebirth cuts + +Let `W` be the span of all 545 exact terminal rows, `U` the span of its 523 old unmarked rows, and `W₀ = U + span(eⱼ)` for the original row `eⱼ` of singleton bank `j`. Let `Sⱼ` contain its old allowed library and all admitted responses to the 60 carrier changes at its compatible old cuts. The dimension beyond its own old marked direction is + +```text +dim(Sⱼ ∩ W) − dim(Sⱼ ∩ W₀) = 21 − rank(Sⱼ + W) + rank(Sⱼ + W₀). +``` + +This follows from the two dimension formulas and `dim W − dim W₀ = 545 − 524 = 21`. The independent high-pivot audit gives zero for each of the ten banks even with every paid and exterior constraint waived. A late exterior correction cannot change these earlier response spaces. If all exact carrier source rows are pooled and every chart and clock is waived, the pool has dimension 128 and the same calculation gives nine new dimensions at each bank individually. This pooled diagnostic isolates the need for a new timed propagation path. Nick Petalas's [#7264](https://github.com/CrocSwap/integer-mult-bounds/pull/7264) at `19f6c9e5962ae11519661d070c3bdcd3aa6537a3` supplies the abstract synthetic sharpness comparison for the two-for-one stock inequality. The fixed-clock obstruction here depends on the literal word. + +## Directed price and open scope + +At zero, one and two separately charged split fees the best tested stock uppers are 14, 16 and 18. The net uppers at `10018846261809/2500000000000000` remain approximately −1.4176039760312882, −1.151724566668849 and −0.8858451573064098. The exact fractions are in `RESULT.json`. The independent tariff comparison confirms that all four scopes retain the same directed prices as the exact #7272 predecessor. The optimistic target requires at least 7, 5 and 4 expanded singleton libraries at zero, one and two separate fees. The stricter `1002040748181/250000000000000` trial requires 8 and 6 for zero and one, and two are unaffordable. + +This exhausts the 60-event fixed-source and fixed-prebirth scopes. Altering ordinary propagation before the marked cuts, choosing new source libraries, or paying new transport and displacing old work are separate routes. An actual construction still requires signed endpoint equality for arbitrary inputs at all widths, physical ownership and restoration, and the full charged invoice. No new site or candidate was required. OpenAI Codex and subagents materially assisted this proof, implementation and audit. diff --git a/research/bit-late-exterior-compensation/PROVENANCE.tsv b/research/bit-late-exterior-compensation/PROVENANCE.tsv new file mode 100644 index 0000000000..e901607ecf --- /dev/null +++ b/research/bit-late-exterior-compensation/PROVENANCE.tsv @@ -0,0 +1,23 @@ +inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78 b718d6b2848215ad785022106dfa9f871a3d1c0c https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +inputs/research/paired-query-only-bit/independent/interval_gate.py 8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 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ebaac21ca7c6bda5590252eb8d3c3dd55c04891021c4d520838c1dfb789abb61 9b832671d02daf46a8b7bd4843a7796782e7dfc7 https://github.com/CrocSwap/integer-mult-bounds/blob/1361516464d47b052264f2a4a9b879e978509fab/research/bit-changed-carrier-exterior/NOTICE diff --git a/research/bit-late-exterior-compensation/README.md b/research/bit-late-exterior-compensation/README.md new file mode 100644 index 0000000000..3385b8d888 --- /dev/null +++ b/research/bit-late-exterior-compensation/README.md @@ -0,0 +1,28 @@ +# Late BIT compensation and the fixed-prebirth quotient bound + +**NO VERIFIED GAIN.** At the 60 selected paid rank-seven ingresses, unrestricted retention of old coframed rows permits a 48-dimensional late compensation kernel. It still yields zero expansions of the ten singleton marked libraries. Even dropping every exterior and protected-paid constraint leaves zero new quotient directions at their fixed prebirth cuts. Pooling all 128 independent source dimensions with charts and clocks waived gives nine extra dimensions per bank, which makes timed delivery the remaining gate for these sources. + +The pinned complete comparator is [#7244](https://github.com/CrocSwap/integer-mult-bounds/pull/7244) at scientific head `4156504fa39efb51c550d218a9b94fe69dbce8f6`, with independently reproduced conditional κ `0.003645372367832` and effective retained BIT premise `376669/100000000`. The campaign target is `10018846261809/2500000000000000`. The κ change is exactly zero. + +## Offline replay + +From this directory in a clean checkout, use CPython 3.12 with assertions enabled. The standard-library replay was tested on CPython 3.12.14 in an empty directory with an empty executable `PATH`. + +```sh +python3.12 -I -B replay.py --controls +``` + +Expect exit 0 and both markers. + +```text +PASS_FORGED_COMPENSATION_RANK_AND_PREBIRTH_EXPANSION_REJECTION +PASS_BIT_LATE_COMPENSATION ranks=148/148/100/0 nullities=0/0/48/148 fixed_prebirth_expansions=0/10 pooled_extra_dimensions=9_each no_new_kappa +``` + +The command authenticates every replay dependency by its stable path and regenerates the #7258, #7260, #7271 and #7272 receipts plus the joint directed tariff. The #7272 independent source and impulse audit also replays. The exact late receipt and independent column-rank and quotient audit match `RESULT.json` and `AUDIT.json`. The controls falsify a compensation rank and one claimed singleton expansion and require both to be rejected. An altered source input and a duplicate manifest path are also rejected before scientific stdout. + +`--inputs /path/to/inputs` accepts the seven exact source files from an explicit root. `--write-carriers /path/to/new.json` exports the authenticated detailed #7272 carrier receipt used for follow-up. `PROVENANCE.tsv` records public commits, Git blob IDs and SHA-256. See [PROOF.md](PROOF.md) for the scope and price. + +## Open next questions + +Can one ordinary correction on either touched lane at each first-observer ADD deliver new source directions before the marked births? The fixed-prebirth obstruction makes an earlier change in the old propagation the next step. [NEXT.md](NEXT.md) specifies the bounded 60-clock, 120-slot test, its price threshold and the signed ownership gate. diff --git a/research/bit-late-exterior-compensation/REPLAY.sha256 b/research/bit-late-exterior-compensation/REPLAY.sha256 new file mode 100644 index 0000000000..967b371710 --- /dev/null +++ b/research/bit-late-exterior-compensation/REPLAY.sha256 @@ -0,0 +1,22 @@ +671d112a4ac79d9a498df39641c28a8ac56ee97e654077438a85cef13fc315cd AUDIT.json +aac28bfb7736f6d43e92d06e2c1d0ce1ca347604c62f7129882def63244dd50c RESULT.json +f7d91bad2f7fb645e7d931a9aaeb1e572ed864c7d6057eae53c2f6eefa05a7e9 SOURCES.tsv +f813a9f04fa6b1897cd358add89be4e75a16a8cdf294b2e1a646465cd5f0a804 audit.py +0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 inputs/pr7209/RESULT.json +e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 inputs/pr7209/verify.py +14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 inputs/pr7244/PROPOSED-CLAIM.json 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"docs/research/current-priorities.md", + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "research/g20-helper-split/README.md", + "research/g20-conjugation-admission/README.md" + ], + "methods": [ + "Construct and independently check one source-bound instance of the stated first experiment.", + "Seek an exact counterexample or target-specific complete-budget obstruction to that same proposed change." + ], + "acceptance_gate": "A full boundary contract and paid profile; unchanged scalar counts alone are insufficient. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_selected_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read revision 8, the selected review and live exact-source handoffs. Then follow this card's bounded first_experiment.", + "scope": "Source-bound orientation only, not a supplier replay or theorem proof." + }, + "first_experiment": "First read #5679/#5708 and their audits as pending component proposals. Choose one uncovered helper group/cut on an exact word; compare arbitrary-input native action, targets, owned storage, both orientations and full signed bill. Stop if the gain is only a scalar count or repaid by lost targets. Do not rerun the frozen #5609 common-frame domain without changing its hypothesis.", + "bottleneck_link": "Judge the actual current supplier contract and complete signed target/paid bill; frozen-profile ceilings require an applicability proof.", + "allowed_variations": [ + "One exact source head, helper/cut region or quantified proposition and changed hypothesis; check live handoffs first. Different seeds are not different scopes." + ], + "scope_change_triggers": [ + "Changing source head, helper/cut domain, operation alphabet or caller boundary without recording the new scope.", + "Treating an archived proposal or local numerical pass as complete supplier admission." + ], + "overlap_terms": [ + "G20", + "helper split", + "5679", + "5708", + "independent target" + ], + "existing_checks": [ + { + "scope": "Selected PR5599: complete helper-subspace construction and independent caller replay; five framework assumptions remain.", + "evidence": "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "remaining": "The next experiment must identify uncovered source-specific work. Successor archive intake does not transfer this admission.", + "status": "reviewed", + "source_commit": "09dd0965711ca7eeb169057a420abab1c9052137", + "selected_record_sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5" + } + ] + }, + "scope_status": "changed", + "actual_scope": "The exact 60 old rank-seven BIT carrier payloads and ten singleton marked banks with late coframed exterior corrections, and with all paid and exterior constraints waived at the fixed prebirth clocks.", + "scope_change_reason": "The retained #7001 word and exact #7272 source audit expose a bounded prebirth obstruction independent of the original G20 candidate and exterior cleanup.", + "bottleneck_link": "The exact retained BIT invoice requires at least seven, five or four expanded singleton libraries after zero, one or two separately charged donor splits at the fixed campaign target.", + "budget_minutes": 8, + "stop_rule": "Exhaust the 60 carriers, 2266 other nonterminal paid operands, 114 exterior outputs, and ten singleton marks across the four nested source grants. Stop without a site build when even the waived-price prebirth grant misses the stock threshold.", + "outcome": "negative-result", + "evidence": "PROOF.md, RESULT.json, AUDIT.json, REPLAY.sha256 and the registered offline replay.", + "author": "ToikY", + "ai_assistance": "OpenAI Codex and subagents materially assisted the proof, verifier, audit and packaging.", + "open_questions": [ + { + "question": "Can balanced chart reassignment or displaced paid transport introduce enough timed source directions?", + "why_it_matters": "The fixed-clock quotient gate still excludes the 60 frozen source libraries under waived restoration. A changed timed source path is required.", + "first_step": "Regenerate the exact 60 carriers with python3.12 -I -B replay.py --write-carriers changed-carriers.json and inventory their old ingress tariff and chart endpoints before pricing any reassignment.", + "blocked_by": "A changed route must clear the directed stock threshold before verifying its arbitrary-input signed action, chronology, ownership, restoration, precision, tape and full cost." + } + ] +} diff --git a/research/bit-late-exterior-compensation/VERIFY.json b/research/bit-late-exterior-compensation/VERIFY.json new file mode 100644 index 0000000000..0d47421ffc --- /dev/null +++ b/research/bit-late-exterior-compensation/VERIFY.json @@ -0,0 +1,20 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/replay.py", + "--controls" + ], + "timeout_seconds": 540, + "checks": "Authenticate exact sources and predecessor ranks, independently replay the late compensation and prebirth quotient, and reject forged ranks, quotient expansion, changed source and duplicate manifest paths." + } + ] +} diff --git a/research/bit-late-exterior-compensation/audit.py b/research/bit-late-exterior-compensation/audit.py new file mode 100644 index 0000000000..24d5c753d0 --- /dev/null +++ b/research/bit-late-exterior-compensation/audit.py @@ -0,0 +1,166 @@ +"""Independent column-space and terminal-intersection audit for BIT compensation.""" +from collections import defaultdict +from hashlib import sha256 +import gzip +import json +from pathlib import Path + + +ROOT = Path(__file__).resolve().parent + + +def encode(row): + return sum(1 << j for j in row) + + +def basis(rows): + result = {} + for v in rows: + while v: + p = v.bit_length() - 1 + if p not in result: + result[p] = v + break + v ^= result[p] + return result + + +def residual(v, pivots): + for p, row in pivots: + if v >> p & 1: + v ^= row + return v + + +def trace(word, carriers, marked, markmap, ports, singletons): + rows = [1 << i for i in range(word["public"])] + [0] * word["owned_fields"] + markers = [set() for _ in rows] + chart = word["start"] + [None] * word["owned_fields"] + scope = set(word["final"]) - {1} + history, clean = defaultdict(set), defaultdict(set) + near, virtual = defaultdict(list), defaultdict(list) + seen = defaultdict(set) + for j in singletons: + p = marked[j] + cutoff = p["quiet_window"][1] + for f in {p["source_chart"], *p["compatible_literal_charts"]}: + near[f].append((j, cutoff)) + for v in markmap[j]["variants"]: + for t in v["virtual_bank_events"]: + if ports[t]["quiet_window"][0] <= cutoff: + virtual[t].append(j) + + def observation(i, cut): + f, value = chart[i], rows[i] + if f in scope and value: + history[f].add(value) + if not markers[i]: + clean[f].add(value) + for j, lim in near[f]: + if cut <= lim: + seen[j].update(markers[i]) + + for i in range(word["public"]): + observation(i, 0) + term, hard = {}, set() + for t, (op, i, *a) in enumerate(word["program"]): + if op == "MOVE": + old, new = a + assert chart[i] == old + if new == 1: + term[t] = rows[i] + for j in virtual[t]: + seen[j].update(markers[i]) + elif t not in carriers: + hard.add(frozenset(markers[i])) + if t in carriers: + assert not markers[i] + markers[i] = {carriers[t]} + chart[i] = new + elif op == "ADD": + j = a[0] + rows[i] ^= rows[j] + markers[i] = markers[i] ^ markers[j] + elif op == "SWAP": + j = a[0] + for seq in (rows, markers, chart): + seq[i], seq[j] = seq[j], seq[i] + observation(j, t + 1) + else: + assert op in ("INIT", "CLEAR") + rows[i], markers[i] = 0, set() + chart[i] = a[0] if op == "INIT" else None + observation(i, t + 1) + exterior = [(frozenset(m), f) for m, f in zip(markers, chart, strict=True) + if f in scope] + final = defaultdict(set) + for row, m, f in zip(rows, markers, chart, strict=True): + if f in scope and not m and row: + final[f].add(row) + return term, hard - {frozenset()}, exterior, seen, (final, clean, history) + + +def joint_rank(sources, hard, exterior, lib): + cache = {f: sorted(basis(rows).items(), reverse=True) for f, rows in lib.items()} + cols = [] + for i, rows in enumerate(sources): + for row in rows: + col = 0 + for m in hard: + col = (col << 659) | (row if i in m else 0) + for m, f in exterior: + rem = residual(row, cache.get(f, ())) if i in m else 0 + col = (col << 659) | rem + cols.append(col) + return len(basis(cols)) + + +def main(): + result = json.loads((ROOT / "RESULT.json").read_bytes()) + frozen_bytes = (ROOT / "PRIOR.json").read_bytes() + assert sha256(frozen_bytes).hexdigest() == result["pins"]["PRIOR.json"] + frozen = json.loads(frozen_bytes) + blobs = {} + for p, expected in result["input_pins"].items(): + raw = (ROOT / "inputs" / p).read_bytes() + assert sha256(raw).hexdigest() == expected, p + blobs[p] = raw + word = json.loads(gzip.decompress(blobs["research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz"])) + r24 = json.loads(blobs["round24/RESULT.json"]) + r22 = json.loads(blobs["round22/RESULT.json"]) + markmap = json.loads(blobs["pr7209/RESULT.json"])["bank_maps"] + ports = {p["event"]: p for p in r24["incidence"]} + marked = [p for p in ports.values() if p["marked"]] + singles = [0, 1, 2, 3, 4, 5, 6, 10, 14, 17] + carriers = {c["event"]: c["index"] for c in frozen["carriers"]} + sources = [[encode(row) for row in c["rows"]] + for c in frozen["scopes"][-1]["carrier_source_bases"]] + term, hard, exterior, seen, libs = trace(word, carriers, marked, markmap, ports, singles) + assert len(term) == 545 and len(exterior) == 114 + ranks = [joint_rank(sources, hard, exterior, lib) for lib in libs] + assert ranks == [x["rank"] for x in result["scope"][:3]] == [148, 148, 100] + assert result["scope"][-1]["rank"] == 0 + U = [v for t, v in term.items() if t not in {p["event"] for p in marked}] + W = list(term.values()) + assert len(basis(U)) == 523 and len(basis(W)) == 545 + pooled = [row for s in sources for row in s] + + def expansion(S, j): + W0 = U + [term[marked[j]["event"]]] + return 21 - len(basis([*S, *W])) + len(basis([*S, *W0])) + + live_dims, pooled_dims = [], [] + for j in singles: + b = [encode(p["row"]) for p in r22["scope"][1]["banks"][j]["source_witnesses"]] + live_dims.append(expansion([*b, *(row for i in seen[j] for row in sources[i])], j)) + pooled_dims.append(expansion([*b, *pooled], j)) + assert live_dims == [0] * 10 and pooled_dims == [9] * 10 + print(json.dumps({"status": "PASS_INDEPENDENT_COLUMN_RANK_AND_INTERSECTION_DIMENSIONS", + "ranks": ranks, "exterior": len(exterior), "protected_mask_classes": len(hard), + "source_pool_rank": len(basis(pooled)), "unrestricted_fixed_trace_expansions": live_dims, + "arbitrary_chart_clock_pool_expansions": pooled_dims}, sort_keys=True)) + + +if __name__ == "__main__": + assert __debug__ + main() diff --git a/research/bit-late-exterior-compensation/inputs/pr7209/RESULT.json b/research/bit-late-exterior-compensation/inputs/pr7209/RESULT.json new file mode 100644 index 0000000000..07664a3820 --- /dev/null +++ b/research/bit-late-exterior-compensation/inputs/pr7209/RESULT.json @@ -0,0 +1,3539 @@ +{ + "bank_maps": [ + { + "event": 25557, + "pivot_quiet_window": [ + 25554, + 28568 + ], + "prefix_input": [ + 21, + 23, + 33, + 43, + 48, + 52, + 77, + 91, + 102, + 280, + 300, + 322, + 343, + 411, + 440, + 462, + 504, + 533, + 553 + ], + "role": 68, + "suffix_response": [ + 47, + 322, + 332, + 333, + 343, + 367, + 488, + 489, + 499, + 533 + ], + "variants": [ + { + "compulsory_suffix_group_span_rank": null, + "literal_chart": null, + "midpoint_kind": "new_join", + "midpoint_normal": [ + "1", + "-1/2", + "1/2", + "0", + "1/2", + "0", + "0", + "1/2" + ], + "outside_dual": [ + 47 + ], + "paired_support": false, + "prefix_group_rank": 0, + "virtual_bank_events": [ + 21445, + 25441, + 25504, + 25557, + 31953, + 31975 + ] + }, + { + "compulsory_suffix_group_span_rank": null, + "literal_chart": 516, + "midpoint_kind": "literal", + "midpoint_normal": [ + "1", + "0", + "0", + "1", + "1", + "0", + "0", + "1" + ], + "outside_dual": [ + 47 + ], + "paired_support": false, + "prefix_group_rank": 0, + "virtual_bank_events": [ + 21445, + 25542, + 25557, + 25577, + 31953, + 31975 + ] + }, + { + "compulsory_suffix_group_span_rank": null, + "literal_chart": null, + "midpoint_kind": "new_join", + "midpoint_normal": [ + "0", + "1", + "-1", + "2", + "1", + "0", + "0", + "1" + ], + "outside_dual": [ + 47 + ], + "paired_support": false, + "prefix_group_rank": 0, + "virtual_bank_events": [ + 21445, + 25450, + 25495, + 25557, + 31953, + 31975 + ] + }, + { + "compulsory_suffix_group_span_rank": 2, + "literal_chart": 588, + "midpoint_kind": "literal", + "midpoint_normal": [ + "1", + "-1", + "1", + "-1", + "0", + "0", + "0", + "0" + ], + "outside_dual": null, + "paired_support": false, + 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graph with virtual rank-one plus rank-one subdivision. Grant all literal coframe clocks and all 185 compatible virtual pivots, including all rank-seven rational chart classes. Mandatory own paid pivot coefficient and outside cancellation. New charts cannot acquire new literal occupants in this model.", + "seconds_cap": 480, + "status": "EXHAUSTED_ONE_STOCK_MAP", + "stock_upper": 0, + "target_group_origins": 410, + "tested_bank_maps": 22, + "viable_banks": [], + "virtual_public_banks": 185 +} diff --git a/research/bit-late-exterior-compensation/inputs/pr7209/verify.py b/research/bit-late-exterior-compensation/inputs/pr7209/verify.py new file mode 100644 index 0000000000..f2460426f9 --- /dev/null +++ b/research/bit-late-exterior-compensation/inputs/pr7209/verify.py @@ -0,0 +1,347 @@ +"""One global main-terminal stock map, granting all old and virtual clocks.""" +from collections import Counter,defaultdict +from fractions import Fraction as Q +from functools import cache +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec,spec_from_file_location +import json +from pathlib import Path +import sys +from time import monotonic + +PINS={ + "research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz":"51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78", + "research/paired-query-only-bit/independent/interval_gate.py":"8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec", + "research/paired-query-only-bit/EFREE-RESULT.json":"a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b", +} + + +def read(root,key): + b=(root/key).read_bytes() + if sha256(b).hexdigest()!=PINS[key]: + raise ValueError(f"SHA-256 mismatch: {key}") + return b + + +def check_time(deadline): + if monotonic()>=deadline: + raise TimeoutError("one stock map exceeded budget") + + +def rref(vectors): + basis={} + for x in vectors: + v=list(x) + for p,u in sorted(basis.items()): + if v[p]: + c=v[p] + v=[a-c*b for a,b in zip(v,u,strict=True)] + p=next((i for i,a in enumerate(v) if a),None) + if p is None: + continue + u=[a/v[p] for a in v] + for j,b in list(basis.items()): + if b[p]: + basis[j]=[a-b[p]*z for a,z in zip(b,u,strict=True)] + basis[p]=u + return tuple(tuple(basis[p]) for p in sorted(basis)) + + +@cache +def join(a,b): + return rref(a+b) + + +def positions(bits): + out=[] + while bits: + p=bits&-bits + out.append(p.bit_length()-1) + bits^=p + return out + + +def sweep(w,ranks,pivots,deadline,reverse=False): + n=w["public"] + frames=(w["final"] if reverse else w["start"])+[None]*w["owned_fields"] + rows=[1<=222 and w["start"][x["final_role"]]==0) + assert major=={2:2,4:2,6:138,7:268} + out={} + for k in (Q("0.0040075385047236"),Q("0.004008162992724")): + base=g.moment(signed,k) + minority=(0,0) + for r,n in helper.items(): + if r<8: + minority=g.add(minority,g.smul(g.sub(g.exact(r),g.power(r,k)),copies*n)) + def terminal(a): + return g.smul(g.add(g.sub(g.power(a+1,k),g.exact(1)), + g.sub(g.power(8-a,k),g.power(8,k))),copies) + own=g.add(base,minority) + for a,n in major.items(): + if a<7: + own=g.add(own,g.smul(terminal(a),n)) + one=terminal(6) + needed=next(n for n in range(23) if g.add(own,g.smul(one,n))[0]>0) + assert g.add(own,g.smul(one,needed-1))[1]<0 + total=g.add(own,g.smul(one,stock)) + out[str(k)]={"compatible_stock_upper":stock,"needed":needed, + "net_upper":g.show(total),"still_negative":total[1]<0, + "all_added_setup_and_ordinary_work_granted_free":True} + return out + + +def run(root,seconds): + deadline=monotonic()+seconds + control() + w=json.loads(gzip.decompress(read(root,"research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz"))) + invoice=json.loads(read(root,"research/paired-query-only-bit/EFREE-RESULT.json")) + assert (w["public"],w["owned_fields"],len(w["program"]))==(659,237,34137) + raw_frames={int(f):v for f,v in w["frames"].items()} + ranks={f:x["dim"] for f,x in raw_frames.items()} + frames={f:rref(tuple(map(Q,row)) for row in x["B"]) for f,x in raw_frames.items()} + assert len(set(frames.values()))==len(frames)==636 + assert all(len(frames[f])==r for f,r in ranks.items()) and ranks[1]==8 + chart={space:f for f,space in frames.items() if ranks[f]==7} + ledger=terminal_ledger(w,ranks) + live=[x for x in ledger if x["paid_rank"]>=2] + source={} + owner={} + for x in live: + i=x["move_event"] + op,j,a,b=w["program"][i] + assert op=="MOVE" and (j,b)==(x["bank_owner_at_move"],1) + assert ranks[a]==x["before_rank"] and i not in source + source[i]=frames[a] + owner[i]=j + main=sorted(x["move_event"] for x in live if x["final_role"]<222) + assert len(live)==len(source)==185 and len(main)==22 + pre,pi,touch=sweep(w,ranks,set(source),deadline) + post,si,_=sweep(w,ranks,set(source),deadline,reverse=True) + group=sum(1<2 else 480 + assert 0= 16^768 of their multiplicities", + "specialized_owned_fields": "D = 19950^768 - W", + "specialized_initial_and_final": 0, + "owned_allocation_records_bound": "2*19950^768", + "product_raw_invocation_count": "sum(i=0..767, 19950^(767-i)*107352^i)", + "split_paid_calls_upper": "292512^768", + "product_or_uniform_word_materialized": false, + "rank_mass_surplus": "positive by separated t-moment advantage; no discarded target mass retained as credit", + "construction": "chronological product; specialize low complete targets to owned zero; retain all original paid calls; split paid calls on disjoint axes", + "uniform_compiler": { + "uniform_saving": "38525299/10000000000", + "gap": "1/10000000000", + "theta": "42/43", + "logarithm_power": 610, + "eta": { + "lower": "0.000000593894111688079899290956", + "upper": "0.000000593894111688079899290957" + }, + "ordinary_base_bound": { + "lower": "1677314.946209111847437090130884726124", + "upper": "1677314.946209111847437090130884726125" + }, + "previous_logarithm_power_fails": true, + "H": 293160000000000, + "N": "2^293160000000000", + "integer_test_exponent": 29316, + "preceding_integer_grid_fails": true, + "proof": "retained separated finite compiler and logarithmic majorant, with all new owned fields charged" + } + }, + "independent_finite_ratios": [ + { + "lower": "0.9999999874567925184826207876", + "upper": "0.9999999874567925184826207877" + }, + { + "lower": "0.8732851491950378396086248370", + "upper": "0.8732851491950378396086248371" + }, + { + "lower": "0.9493708822913205830769062941", + "upper": "0.9493708822913205830769062942" + } + ], + "independent_normalized_upper": { + "lower": "0.9999903669098213250012570639", + "upper": "0.9999903669098213250012570640" + }, + "event_counts": { + "ADD": 362, + "SWAP": 364, + "LOCAL": 36, + "IDLE_ONE": 32, + "QUERY": 4 + }, + "events": 798, + "discarded_source_stream": { + "ADD": 1682, + "SCALE": 100, + "LAMBDA": 82, + "IDLE_ONE": 68, + "SWAP": 91, + "QUERY": 4 + }, + "empty_body_targets": { + "count": 0, + "rank1_productive_credit": 0 + }, + "ordinary_basis_records": 1291152, + "ordinary_visible_records": 363507600, + "whole_job_route_count": 569592, + "whole_job_route_records": 740743004160, + "ordinary_record_allowance": 1000000000000, + "owned_bank_bound": 6878988, + "compiler_constants": { + "U_raw": "sum(i=0..767,19950^(767-i)*107352^i)", + "D": "19950^768-W", + "O": "6878988*U_raw+D", + "G": "1000000000000*U_raw+8*R+2*19950^768", + "E": "64*(Z+N+P+G+1)^3", + "B_constant": "P+E", + "C0": "32*N*B_constant^2" + }, + "ordinary_bootstrap": [ + { + "previous": "17/5000", + "covered": "19262649/5000000000", + "atom": "1/250", + "envelope": "4813399601/1250000000000", + "admitted": "38507/10000000", + "strict_debit": "24601/1250000000000" + }, + { + "previous": "38507/10000000", + "covered": "19262649/5000000000", + "atom": "1/250", + "envelope": "4815653101/1250000000000", + "admitted": "12039/3125000", + "strict_debit": "53101/1250000000000" + } + ], + "negative_controls": { + "missing_LOCAL": "reverse coefficient 0,0", + "missing_QUERY": "reverse coefficient 0,0", + "missing_IDLE_ONE": "reverse coefficient 0,1", + "missing_ADD": "reverse coefficient 0,1", + "missing_SWAP": "reverse coefficient 1,0", + "missing_second_native_in_pair": "reverse coefficient 19,19", + "division_by2_after_specialization": "integral A coefficient after lambda removal", + "QUERY_replaced_by_ADD_despite_q1_pass": "reverse coefficient 1,0", + "root_header_target_declared_identity": "reverse coefficient 19,19" + }, + "odd_port_determinant": { + "ring": "F2[q]/(q^2-1)", + "q_ne_1": true, + "single_layer_root_targets": 2109, + "single_layer_target_determinant": "q", + "allowed_D1_gate_determinants": "1", + "doubled_root_targets": 4218, + "doubled_target_determinant": "1", + "scope": "Fixed19q-targets per chain,111ports,existing scalar caller operations; no extra target or QSELF/owned operator. Not a general obstruction on BIT algorithms." + }, + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "scope": "Paired E-free BIT specialization of#6980 with two actual native copies per stage; removes empty-body credit with unchanged complete signed moment crossing of#6834; inherited framework; no new kappa or native theorem reproof.", + "new_global_kappa_claim": false, + "seconds": 11.418902893999984 +} diff --git a/research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/independent/interval_gate.py b/research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/independent/interval_gate.py new file mode 100644 index 0000000000..6d5a751dde --- /dev/null +++ b/research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/independent/interval_gate.py @@ -0,0 +1,127 @@ +#!/usr/bin/env python3 +"""Independent certified fixed-grid intervals (80 decimal places). +ln via 2 atanh after binary range reduction; exp(-x) via alternating +Taylor brackets. Uses only integer floor/ceiling, not Decimal transcendents. +""" +from fractions import Fraction as F +from functools import lru_cache +from pathlib import Path +import json,argparse +B=10**80 + +def ceildiv(a,b):return -((-a)//b) +def exact(q): + q=F(q);return q.numerator*B//q.denominator,ceildiv(q.numerator*B,q.denominator) +def add(a,b):return a[0]+b[0],a[1]+b[1] +def sub(a,b):return a[0]-b[1],a[1]-b[0] +def mul(a,b): + p=[a[i]*b[j] for i in (0,1) for j in (0,1)];return min(p)//B,ceildiv(max(p),B) +def div(a,b): + assert b[0]>0 + p=[F(a[i]*B,b[j]) for i in (0,1) for j in (0,1)] + return min(p).__floor__(),max(p).__ceil__() +def smul(a,q):return mul(a,exact(q)) +def atanh_log(y): + yi=exact(y);yy=mul(yi,yi);p=yi;s=(0,0) + for j in range(100):s=add(s,smul(p,F(2,2*j+1)));p=mul(p,yy) + # 0 <= tail <= 2 y^201/[201(1-y^2)] < 3*(1/3)^201. + return s[0],s[1]+ceildiv(3*B,3**201) +@lru_cache(None) +def log(r): + assert r>=1 + k=r.bit_length()-1;y=F(r-2**k,r+2**k) + a=atanh_log(y);b=atanh_log(F(1,3));return add(a,smul(b,k)) +def expminus(x): + assert 0<=x[0]<=x[1]0 and margins[str(hi)][1]<0 and margins[str(tested)][0]>0 + target=moment(T,tested);paid=moment(P,tested) + alpha=div(paid,target) + # Tail exponent = 1-tested+1/7; argument exp may not be negative. + # r^(1-tested+1/7)=r^(1-tested)* exp(log(r)/7). + def exppos(x): + assert 0<=x[0]<=x[1]0 and gap.numerator==1;step=gap.denominator + wins=lambda j:(step*j+1)**written<2**j + l,h=1,2 + while not wins(h):l,h=h,2*h + while h-l>1: + m=(l+h)//2 + if wins(m):h=m + else:l=m + assert wins(h) and not wins(h-1) + # Monotonicity: upper derivative bound on [0, cap]. + derivative=(0,0) + for rr in T.keys()|P.keys(): + c=T.get(rr,0)-P.get(rr,0);r=int(rr) + term=mul(power(r,cap if c>=0 else 0),log(r));derivative=add(derivative,smul(term,-c)) + assert derivative[1]<0 + result=dict(claim=str(claim),tested=str(tested),raw_bracket=[str(lo),str(hi)],moment_margins={k:show(v) for k,v in margins.items()},moment_margin_float={k:value(v) for k,v in margins.items()},derivative_upper=float(F(derivative[1],B)),alpha=value(alpha),gamma=value(gamma),delta=value(delta),minimum_log_power=lp,written_log_power=written,compiler_gap=str(gap),H=str(step*h),BIT_pin=str(cap),BIT_margin=str(cap-tested)) + # Outer formulas evaluated independently after algebraically substituting + # b=k+5g,a=k+4g,q=k+3g,epsilon=1-g,beta=1-3g. + k=claim;g=gap;b=k+5*g;a=k+4*g;q=k+3*g;ep=1-g;be=1-3*g;r0=g/10;stop=layout=g + sig=1-b;tau=1-a;internal=tau+(1-stop)*max(sig-tau,0);leaf=sig+stop*(1-sig);lam=1-(q+a)/2;xi=ep*(1+q)-F(3,32)+layout;key=be+1-ep + M=[ep*q,a,1-ep+q*be,1-ep+a*be,1-ep+be,F(3,32)+xi-ep,xi+F(1,2)-ep,ep,1-(ep+be+48-128+2)] + checks=[cap-a,b-a,q,b-q,a-q,stop,1-stop,(1-stop)*b-a,1-internal-q,1-leaf-q,lam-tau,lam-sig,lam-internal,1-q-lam,1-q-leaf,ep,1-ep,xi-F(1,2),ep-xi,be,ep-be,1-be,1-(2*xi-2)-r0-be,1-(2*xi-2)-be,1-ep-r0,1-ep,r0,1-key,1-be-2*(1-ep),128-48-be,layout,ep-a,F(1,32)-b,F(2**45-7**16),F(2),2-xi,F(5),1-be,1-be,1-ep,M[2]-M[0],g,k-F('.001730970419199163702738'),1-ep,F(11,2)]+[x-k for x in M] + functional=[1-be,be*(1-F(3,1000)),128-48-ep-be-1,be*(1-F(1,250))] + assert len(checks)==54 and len(functional)==4 and min(checks+functional)>0 + result['outer']=dict(strict_count=54,functional_count=4,minimum_margin=str(min(checks+functional)),BIT_just_below_effective_rejected=(a-F(1,10**12))-a<0) + # Input-lift is only needed on [1-tested_complex,1]. A stronger BIT + # pin is irrelevant to this interval; the source's crude BIT-wide bound + # is not imported beyond its valid range. + pos={7:1,3:1,5:1};neg={9:1,4:1,1:2};d1=(0,0);curvature=(0,0) + for hist,sign in ((pos,1),(neg,-1)): + for r,c in hist.items(): + d1=add(d1,smul(log(r),sign*c*r)) + curvature=add(curvature,smul(mul(log(r),log(r)),c*r)) + lift_cap=cap if cap<=F('.00376669') else tested + assert tested<=lift_cap and F(d1[1],B)+lift_cap*F(curvature[1],B)<0 + lifts={} + for price in (claim,tested): + lift=sub(moment(pos,price),moment(neg,price));assert lift[0]>0 + assert price*(-F(d1[1],B))-price*price*F(curvature[1],B)/2>0 + lifts[str(price)]=show(lift) + result['input_lift']=dict(margins=lifts,interval_kappa_cap=str(lift_cap),derivative_upper_on_required_interval=str(F(d1[1],B)+lift_cap*F(curvature[1],B)),source_BIT_wide_crude_bound_would_be=str(F(d1[1],B)+cap*F(curvature[1],B))) + return result +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('audit');p.add_argument('--claim',default='.00362852408');p.add_argument('--tested',default='.00362852408007');p.add_argument('--lower',default='.00362852408398727978896072723289');p.add_argument('--upper',default='.00362852408398727978896072723290');p.add_argument('--out',required=True);p.add_argument('--bit-pin',default='.00376669');a=p.parse_args() + r=gate(json.loads(Path(a.audit).read_text())['invoice'],a.claim,a.tested,a.lower,a.upper,a.bit_pin);Path(a.out).write_text(json.dumps(r,indent=2)+'\n');print(json.dumps(r,indent=2)) diff --git a/research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz b/research/bit-late-exterior-compensation/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..b718d6b2848215ad785022106dfa9f871a3d1c0c GIT binary patch literal 111747 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e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/verify.py +pr7209/RESULT.json 0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/RESULT.json +pr7244/PROPOSED-CLAIM.json 14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/PROPOSED-CLAIM.json diff --git a/research/bit-late-exterior-compensation/predecessor/round22/verify.py b/research/bit-late-exterior-compensation/predecessor/round22/verify.py new file mode 100644 index 0000000000..1a12b3b161 --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round22/verify.py @@ -0,0 +1,398 @@ +"""Round 22 causal read-only prebirth stocks, exact F2 quotient and matroid gate.""" +from argparse import ArgumentParser +from collections import defaultdict, deque +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec, spec_from_file_location +from itertools import product +import json +from pathlib import Path +from time import monotonic + + +NATIVE = "research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz" +INVOICE = "research/paired-query-only-bit/EFREE-RESULT.json" + + +def encoded(indices): + return sum(1 << i for i in indices) + + +def positions(value): + result = [] + while value: + bit = value & -value + result.append(bit.bit_length()-1) + value ^= bit + return result + + +def insert(basis, row, tag=0): + while row: + p = row.bit_length()-1 + if p not in basis: + basis[p] = row, tag + return True, tag + v, g = basis[p] + row ^= v + tag ^= g + return False, tag + + +def reduce(basis, row): + rem = tag = 0 + while row: + p = row.bit_length()-1 + if p in basis: + v, g = basis[p] + row ^= v + tag ^= g + else: + b = 1 << p + row ^= b + rem ^= b + return rem, tag + + +def rnk(rows): + basis = {} + for v in rows: + insert(basis, v) + return len(basis) + + +def intersection_projection(rows, terminal): + """Eliminate V's image outside W while retaining each literal row expression.""" + outside, quotient = {}, {} + for row in rows: + residual, _ = reduce(terminal, row) + independent, inside = insert(outside, residual, row) + if not independent: + rem, coeff = reduce(terminal, inside) + assert rem == 0 + insert(quotient, coeff, inside) + return len(rows)-len(outside), [quotient[k] for k in sorted(quotient)] + + +def transversal(bases): + """Matroid intersection. Return maximum independent representatives and Rado witness.""" + nodes = [(i, v, r) for i, part in enumerate(bases) for v, r in part] + by_part = defaultdict(list) + for e, (i, _, _) in enumerate(nodes): + by_part[i].append(e) + current = set() + while True: + represented = {nodes[e][0] for e in current} + linear = {} + for e in sorted(current): + assert insert(linear, nodes[e][1], 1 << e)[0] + pred = {e: None for e, (i, _, _) in enumerate(nodes) if i not in represented} + queue = deque(pred) + sink = None + while queue: + e = queue.popleft() + if e in current: + nxt = (f for f in by_part[nodes[e][0]] if f != e) + else: + rem, support = reduce(linear, nodes[e][1]) + if rem: + sink = e + break + nxt = positions(support) + for f in nxt: + if f not in pred: + pred[f] = e + queue.append(f) + if sink is None: + restricted = sorted((set(range(len(bases))) - represented) | + {nodes[e][0] for e in current if e in pred}) + restricted_rank = rnk(v for i in restricted for v, _ in bases[i]) + assert len(current) == len(bases)-len(restricted)+restricted_rank + return [nodes[e] for e in sorted(current)], restricted, restricted_rank + e = sink + before = len(current) + while e is not None: + current.symmetric_difference_update([e]) + e = pred[e] + assert len(current) == before+1 + assert len({nodes[e][0] for e in current}) == len(current) + assert rnk(nodes[e][1] for e in current) == len(current) + + +def endpoint_gate(bases, deadline): + """Exhaust every option within disjoint support blocks of the same map.""" + n = len(bases) + neighbors = [set([i]) for i in range(n)] + choices = [] + for i, part in enumerate(bases): + span = [0] + for v, _ in part: + span += [v ^ w for w in span] + for j in positions(v): + neighbors[i].add(j) + neighbors[j].add(i) + assert len(span) == len(set(span)) and 1 << i in span + choices.append(sorted(span)) + found = set() + blocks = [] + for i in range(n): + if i in found: + continue + block = {i} + todo = [i] + while todo: + new = neighbors[todo.pop()] - block + block.update(new) + todo.extend(sorted(new)) + found.update(block) + blocks.append(sorted(block)) + + reports = [] + for block in blocks: + tested = feasible = best_nz = best_rank = 0 + witness = tuple(0 for _ in block) + for delta in product(*(choices[i] for i in block)): + tested += 1 + if monotonic() >= deadline: + raise TimeoutError("same table endpoint consistency checks exceeded cap") + final = [(1 << i) ^ v for i, v in zip(block, delta)] + if rnk(final) != len(block): + continue + feasible += 1 + best_nz = max(best_nz, sum(bool(v) for v in delta)) + independent = rnk(delta) + if independent > best_rank: + best_rank = independent + witness = delta + assert feasible >= 1 and best_rank <= best_nz + reports.append({"banks": block, "tested_choices": tested, + "endpoint_preserving_choices": feasible, + "maximum_nonzero_changes": best_nz, + "maximum_independent_return_directions": best_rank, + "rank_attaining_deltas": [positions(v) for v in witness]}) + return {"blocks": reports, "endpoint_preserving_nonzero_upper": sum(b["maximum_nonzero_changes"] for b in reports), + "endpoint_preserving_independent_upper": sum(b["maximum_independent_return_directions"] for b in reports), + "singleton_own_pivot_only": sum(len(b["banks"]) == 1 for b in reports), + "own_pivot_only_delta_spaces": sum(len(part) == 1 for part in bases)} + + +def controls(): + # One initial greedy choice must be replaced to admit the second bank. + a = transversal([[(1, 1), (2, 2)], [(1, 1)]]) + assert len(a[0]) == 2 and (0, 2, 2) in a[0] + a = transversal([[(1, 1)], [(1, 1)], [], [(2, 2)]]) + assert len(a[0]) == 2 and len(a[1]) == 3 and a[2] == 1 + # Two raw outside-contaminated sources can yield one pure terminal direction. + w = {} + insert(w, 1, 0) + insert(w, 2, 1) + assert intersection_projection([5, 6], w) == (1, [(1, 3)]) + assert intersection_projection([5], w) == (0, []) + # Two rows differing by an unchanged arrival have the same quotient. + assert reduce(w, 3) == reduce(w, 2) == (0, 1) + # A bare own-pivot direction cancels the original row under additive replacement. + endpoint = endpoint_gate([[(1, 1)], [(2, 2), (1, 1)]], monotonic()+1) + assert endpoint["endpoint_preserving_independent_upper"] == 1 + assert endpoint["endpoint_preserving_nonzero_upper"] == 1 + # Invertible endpoint can permit two off-diagonal-looking changes only when + # their diagonal/cross-slot combination preserves the full row rank. + endpoint = endpoint_gate([[(1, 1), (2, 2)], [(1, 1), (2, 2)]], monotonic()+1) + assert endpoint["endpoint_preserving_independent_upper"] == 2 + + +def timeline(w, deadline): + n = w["public"] + q = w["start"]+[None]*w["owned_fields"] + x = [1 << j for j in range(n)]+[0]*w["owned_fields"] + chart = defaultdict(dict) + moves = {} + touch = defaultdict(list) + + def observe(j, cut, kind): + if x[j]: + chart[q[j]].setdefault((j, x[j]), (cut, kind)) + + for j in range(n): + observe(j, 0, "initial") + for t, (op, j, *a) in enumerate(w["program"]): + if t % 1024 == 0 and monotonic() >= deadline: + raise TimeoutError("one 22-bank prebirth map exceeded its cap") + touch[j].append(t) + if op == "MOVE": + f, g = a + assert q[j] == f and f != 1 + moves[t] = (j, f, g, x[j]) + q[j] = g + elif op == "ADD": + k, f = a + assert q[j] == q[k] == f + touch[k].append(t) + x[j] ^= x[k] + elif op == "SWAP": + k, = a + touch[k].append(t) + q[j], q[k] = q[k], q[j] + x[j], x[k] = x[k], x[j] + observe(k, t+1, op) + elif op == "INIT": + assert q[j] is None and a[0] != 1 + q[j], x[j] = a[0], 0 + else: + assert op == "CLEAR" and q[j] == a[0] != 1 + q[j], x[j] = None, 0 + observe(j, t+1, op) + endpoint = [1 << j for j in range(n)]+[0]*w["owned_fields"] + for j in range(111): + endpoint[111+j] ^= 1 << j + assert x == endpoint and q == w["final"]+[None]*w["owned_fields"] + assert len(moves) == 2871 + windows = {} + for t, (j, _, _, _) in moves.items(): + k = touch[j].index(t) + windows[t] = [touch[j][k-1]+1 if k else 0, + touch[j][k+1] if k+1 < len(touch[j]) else len(w["program"])] + return chart, moves, windows, endpoint + + +def library(mark, observations, moves, windows, retime): + t = mark["event"] + owner, source, target, original = moves[t] + assert target == 1 and original == encoded(mark["prefix_input"]) + assert mark["pivot_quiet_window"] == windows[t] + horizon = windows[t][1] if retime else t + seen = {} + routes = set() + + def add_chart(f): + for (j, row), (cut, kind) in observations.get(f, {}).items(): + if cut <= horizon and (f, j, row) != (source, owner, original): + witness = ("physical", f, cut, j, kind) + seen.setdefault(row, witness) + routes.add(witness) + + add_chart(source) + for variant in mark["variants"]: + f = variant["literal_chart"] + if f is not None: + add_chart(f) + for e in variant["virtual_bank_events"]: + if e == t: + continue + j, g, last, row = moves[e] + assert last == 1 + available = windows[e][0] if retime else e+1 + if available <= horizon: + witness = ("virtual", g, available, j, e) + seen.setdefault(row, witness) + routes.add(witness) + return seen, len(routes), horizon + + +def raw_basis(rows): + basis = {} + for row in rows: + insert(basis, row) + return [value for value, _ in basis.values()] + + +def scope(marks, observations, moves, windows, terminal, retime, deadline): + bank_rows, bases = [], [] + for mark in marks: + source, count, horizon = library(mark, observations, moves, windows, retime) + rows = raw_basis(sorted(source)) + inside, projected = intersection_projection(rows, terminal) + bases.append(projected) + digest = sha256(json.dumps(sorted((v, w) for v, w in source.items()), separators=(",", ":")).encode()).hexdigest() + # Physical caches are observations at specific clocks. Virtual entries + # are old paid input rows with an exact compatible midpoint certificate. + bank_rows.append({"event": mark["event"], "deadline_cut": horizon, + "observed_coefficient_rows": len(source), "route_observations": count, + "source_rank": len(rows), "source_intersection_terminal_rank": inside, + "projected_rank": len(projected), "source_provenance_sha256": digest, + "source_witnesses": [{"row": positions(v), "path": list(w)} + for v, w in sorted(source.items())], + "quotient_basis": [positions(c) for c, _ in projected]}) + if monotonic() >= deadline: + raise TimeoutError("one 22-bank prebirth map exceeded its cap") + assignment, restricted, subrank = transversal(bases) + endpoint = endpoint_gate(bases, deadline) + return {"scope": "quiet-window union" if retime else "literal birth clock", + "banks": bank_rows, "compatible_stock_upper": len(assignment), + "independent_assignment": [{"bank": i, "event": marks[i]["event"], + "quotient": positions(v), "terminal_row": positions(r)} + for i, v, r in assignment], + "rado_restricted_banks": restricted, "rado_restricted_rank": subrank, + "rado_exact_upper": len(marks)-len(restricted)+subrank, + "endpoint_consistency": endpoint, + "unresolved_target_clearing_assignments_within_scope": 0 if endpoint["endpoint_preserving_independent_upper"] < 21 else 22} + + +def main(root, seconds): + deadline = monotonic()+seconds + controls() + pins = {} + for line in Path(__file__).with_name("SOURCES.tsv").read_text().splitlines(): + name, digest, _ = line.split("\t") + if name in pins: + raise ValueError(f"duplicate source path {name}") + pins[name] = digest + + def read(name): + data = (root/name).read_bytes() + if sha256(data).hexdigest() != pins[name]: + raise ValueError(f"SHA-256 mismatch: {name}") + return data + + for key in pins: + read(key) + peer = json.loads(read("pr7244/PROPOSED-CLAIM.json")) + assert peer["kappa"] == "455671545979/125000000000000" + assert peer["complex_BIT_premise"] == "376669/100000000" + w = json.loads(gzip.decompress(read(NATIVE))) + invoice = json.loads(read(INVOICE)) + maps = json.loads(read("pr7209/RESULT.json"))["bank_maps"] + assert len(maps) == 22 + dims = {int(i): s["dim"] for i, s in w["frames"].items()} + assert [i for i in dims if dims[i] == 8] == [1] and 1 not in w["start"] + chart, moves, windows, endpoint = timeline(w, deadline) + arrivals = {e: row for e, (_, _, g, row) in moves.items() if g == 1} + chosen = [m["event"] for m in maps] + assert len(arrivals) == 545 and len(set(chosen)) == 22 + basis = {} + for t, row in arrivals.items(): + if t not in chosen: + assert insert(basis, row)[0] + assert len(basis) == 523 + for j, t in enumerate(chosen): + assert dims[moves[t][1]] == 6 + assert insert(basis, arrivals[t], 1 << j)[0] + assert len(basis) == 545 + assert all(not reduce(basis, row)[0] for f, row in zip(w["final"], endpoint) if f == 1) + assert rnk(row for f, row in zip(w["final"], endpoint) if f == 1) == 545 + literal = scope(maps, chart, moves, windows, basis, False, deadline) + quiet = scope(maps, chart, moves, windows, basis, True, deadline) + assert literal["compatible_stock_upper"] <= quiet["compatible_stock_upper"] + spec = spec_from_file_location("prior", root/"pr7209/verify.py") + p = module_from_spec(spec) + spec.loader.exec_module(p) + ledger = p.terminal_ledger(w, dims) + for s in (literal, quiet): + s["raw_quotient_price"] = p.prices(root, invoice, w, dims, ledger, s["compatible_stock_upper"]) + endpoint = s["endpoint_consistency"] + s["endpoint_preserving_price"] = p.prices(root, invoice, w, dims, ledger, endpoint["endpoint_preserving_independent_upper"]) + s["endpoint_preserving_nonzero_price"] = p.prices(root, invoice, w, dims, ledger, endpoint["endpoint_preserving_nonzero_upper"]) + return {"status": "NO VERIFIED GAIN", "seconds_cap": seconds, "pins": pins, + "target": "10018846261809/2500000000000000", "retained_BIT_premise": peer["complex_BIT_premise"], + "banks": len(maps), "pending_census_cases": 0, "new_sites": 0, + "unchanged_terminal_rank": 523, "required_terminal_rank": 545, + "scope": [literal, quiet]} + + +if __name__ == "__main__": + parser = ArgumentParser(description=__doc__) + parser.add_argument("root", type=Path) + parser.add_argument("--seconds", type=int, default=480) + args = parser.parse_args() + if not 1 <= args.seconds <= 480: + parser.error("--seconds must be in 1..480") + print(json.dumps(main(args.root, args.seconds), sort_keys=True, indent=2)) diff --git a/research/bit-late-exterior-compensation/predecessor/round23/SOURCES.tsv b/research/bit-late-exterior-compensation/predecessor/round23/SOURCES.tsv new file mode 100644 index 0000000000..850072eb41 --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round23/SOURCES.tsv @@ -0,0 +1,9 @@ +research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +research/paired-query-only-bit/independent/interval_gate.py 8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/independent/interval_gate.py +research/paired-query-only-bit/EFREE-RESULT.json a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/EFREE-RESULT.json +pr7209/verify.py e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/verify.py +pr7209/RESULT.json 0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/RESULT.json +pr7244/PROPOSED-CLAIM.json 14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/PROPOSED-CLAIM.json +round22/verify.py 6c911eb044f9342459be2e21ef6c9c27d1c1fd47e58be87873c6e9656047c948 local-only sealed Round 22 bit/verify.py +round22/RESULT.json 6f4c3afc1185668de6e98ea1608170ae9db8ee5c2c5318b5d5a6577d609252e3 local-only sealed Round 22 bit/RESULT.json +round22/SOURCES.tsv 963e6412a7d3c6fdca55bfb5c7cddcf80c21f2a5ac99162a2c20ffb00bfe77e6 local-only sealed Round 22 bit/SOURCES.tsv diff --git a/research/bit-late-exterior-compensation/predecessor/round23/verify.py b/research/bit-late-exterior-compensation/predecessor/round23/verify.py new file mode 100644 index 0000000000..97b5b52e37 --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round23/verify.py @@ -0,0 +1,272 @@ +"""Census of 523 unchanged-geometry BIT terminal donor ports.""" +from argparse import ArgumentParser +from collections import Counter, defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec, spec_from_file_location +import json +from pathlib import Path +from time import monotonic + + +NATIVE = 'research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz' +INVOICE = 'research/paired-query-only-bit/EFREE-RESULT.json' + + +def import_file(name, path): + spec = spec_from_file_location(name, path) + module = module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def read_pinned(root): + pins = {} + for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + name, digest, _ = line.split('\t') + if name in pins: + raise ValueError(f'duplicate dependency path: {name}') + pins[name] = digest + result = {} + for path, digest in pins.items(): + blob = (root/path).read_bytes() + if sha256(blob).hexdigest() != digest: + raise ValueError(f'SHA-256 mismatch: {path}') + result[path] = blob + return pins, result + + +def timeline(w, deadline): + n = w['public'] + frames = w['start'] + [None]*w['owned_fields'] + rows = [1 << i for i in range(n)] + [0]*w['owned_fields'] + observed = defaultdict(dict) + touches = defaultdict(list) + arrivals = {} + + def record(j, cut, op): + if rows[j]: + observed[frames[j]].setdefault((j, rows[j]), (cut, op)) + + for i in range(n): + record(i, 0, 'initial') + for t, (op, i, *args) in enumerate(w['program']): + if t % 1024 == 0 and monotonic() >= deadline: + raise TimeoutError('523-port donor census exceeded cap') + touches[i].append(t) + if op == 'MOVE': + f, g = args + assert frames[i] == f and f != 1 + if g == 1: + peers = {rows[j]: ('live', f, t, j) for j, chart in enumerate(frames) + if j != i and chart == f and rows[j]} + arrivals[t] = i, f, rows[i], peers + frames[i] = g + elif op == 'ADD': + j, f = args + assert frames[i] == frames[j] == f + touches[j].append(t) + rows[i] ^= rows[j] + elif op == 'SWAP': + j, = args + touches[j].append(t) + frames[i], frames[j] = frames[j], frames[i] + rows[i], rows[j] = rows[j], rows[i] + record(j, t+1, op) + else: + assert op in ('INIT', 'CLEAR') and args[0] != 1 + assert frames[i] == (None if op == 'INIT' else args[0]) + frames[i] = args[0] if op == 'INIT' else None + rows[i] = 0 + record(i, t+1, op) + want = [1 << i for i in range(n)] + [0]*w['owned_fields'] + for i in range(111): + want[111+i] ^= 1 << i + assert rows == want and frames == w['final'] + [None]*w['owned_fields'] + assert len(arrivals) == 545 + ends = {} + for t, (i, _, _, _) in arrivals.items(): + uses = touches[i] + j = uses.index(t) + ends[t] = uses[j+1] if j+1 < len(uses) else len(w['program']) + return arrivals, observed, ends, [row for f, row in zip(frames, rows) if f == 1] + + +def components(bases): + parent = list(range(len(bases))) + + def root(i): + while parent[i] != i: + parent[i] = parent[parent[i]] + i = parent[i] + return i + + for i, space in enumerate(bases): + for x, _ in space: + while x: + b = x & -x + j = b.bit_length()-1 + parent[root(j)] = root(i) + x ^= b + groups = defaultdict(list) + for i in range(len(bases)): + groups[root(i)].append(i) + return sorted(groups.values()) + + +def cap(support, shift, old_stock=12): + assert support <= shift <= 22 + return min(22, old_stock + support + shift) + + +def charged_refinements(root, price, word, dims, invoice): + """A separate full-volume positive-rank split for every new donor.""" + interval = import_file('interval', root/'research/paired-query-only-bit/independent/interval_gate.py') + ledger = price.terminal_ledger(word,dims) + copies = len(invoice['native_instances']) + assert copies == 36 + result = [] + for h in range(5): + stock = min(22,14+2*h) + relaxed = price.prices(root,invoice,word,dims,ledger,stock) + row = {'new_charged_donors': h, 'stock_upper': stock, 'also_bounds_all_larger_h': h == 4, + 'directed': {}} + for key, rec in relaxed.items(): + k = Fraction(key) + charge = interval.smul(interval.sub(interval.exact(2),interval.power(2,k)),copies) + lower, upper = map(Fraction,rec['net_upper']) + c0,c1 = map(Fraction,interval.show(charge)) + assert 0 < c0 <= c1 + net = lower-h*c1, upper-h*c0 + assert net[1] < 0 + row['directed'][key] = {'minimum_split_tariff_interval': [str(c0),str(c1)], + 'unbilled_net_upper_interval': [str(lower),str(upper)], + 'net_upper_after_split_lower_tariff': list(map(str,net))} + result.append(row) + return result + + +def run(root, seconds): + deadline = monotonic()+seconds + pins, data = read_pinned(root) + prev = import_file('round22', root/'round22/verify.py') + price = import_file('pr7209', root/'pr7209/verify.py') + assert cap(0, 0) == 12 and cap(4, 4) == 20 and cap(5, 5) == 22 + control = prev.transversal([[(1, 0), (2, 0)], [(1, 0)]]) + assert len(control[0]) == 2 + # An alternative leaving W cannot carry a valid new terminal payload. + example = {} + prev.insert(example, 1, 1) + assert prev.intersection_projection([2], example) == (0, []) + assert prev.intersection_projection([2, 3], example) == (1, [(1, 1)]) + word = json.loads(gzip.decompress(data[NATIVE])) + assert 1 not in word['start'] + dims = {int(f): x['dim'] for f, x in word['frames'].items()} + assert [f for f in dims if dims[f] == 8] == [1] + invoice = json.loads(data[INVOICE]) + peer = json.loads(data['pr7244/PROPOSED-CLAIM.json']) + assert peer['complex_BIT_premise'] == '376669/100000000' + marks = [x['event'] for x in json.loads(data['pr7209/RESULT.json'])['bank_maps']] + prev_result = json.loads(data['round22/RESULT.json']) + quiet = prev_result['scope'][1] + assert [v['event'] for v in quiet['banks']] == marks + old_gate = quiet['endpoint_consistency'] + assert old_gate['endpoint_preserving_independent_upper'] == 12 + singletons = [b['banks'][0] for b in old_gate['blocks'] if len(b['banks']) == 1] + assert len(singletons) == 10 + singleton_mask = prev.encoded(singletons) + arrivals, observed, ends, required = timeline(word, deadline) + donors = sorted(set(arrivals)-set(marks)) + assert len(donors) == 523 + order = donors+marks + marked_offset = len(donors) + W = {} + for i, t in enumerate(order): + assert prev.insert(W, arrivals[t][2], 1 << i)[0] + assert len(W) == prev.rnk(required) == 545 + assert all(not prev.reduce(W, x)[0] for x in required) + marked_spaces = [] + for i, entry in enumerate(quiet['banks']): + raw = prev.raw_basis(prev.encoded(x['row']) for x in entry['source_witnesses']) + _, space = prev.intersection_projection(raw, W) + assert prev.rnk(v >> marked_offset for v, _ in space) == entry['projected_rank'] + marked_spaces.append(space) + all_scopes = [] + for retime in (False, True): + donor_maps = [] + donor_spaces = [] + eligible = [] + full_bases = [] + single_bases = [] + donor_sets = [] + for i, t in enumerate(donors): + j, f, old, live = arrivals[t] + candidates = dict(live) + if retime: + for (owner, row), (cut, op) in observed[f].items(): + if cut <= ends[t] and (owner, row) != (j, old): + candidates.setdefault(row, ('cached', f, cut, owner, op)) + raw = prev.raw_basis(sorted(candidates)) + inside, space = prev.intersection_projection(raw, W) + assert inside == len(space) + donor_spaces.append(space) + coord_space = [(v, row) for v, row in space if v != 1 << i] + # A pure cancellation is infeasible alone. If a bank has more + # choices, its whole span is still a safe upper for its projection. + if coord_space: + eligible.append(i) + mark_b = {} + sing_b = {} + for v, row in space: + proj = v >> marked_offset + prev.insert(mark_b, proj, row) + prev.insert(sing_b, proj & singleton_mask, row) + full_bases.append(list(mark_b.values())) + single_bases.append(list(sing_b.values())) + if mark_b: + donor_sets.append(i) + donor_maps.append({'event': t, 'owner': j, 'source_chart': f, + 'horizon': ends[t] if retime else t, + 'old_row': prev.positions(old), + 'source_rows': [{'row': prev.positions(x), 'witness': path} + for x, path in sorted(candidates.items())], + 'V_intersection_W_rank': inside, + 'projection_marked_basis': [prev.positions(v) for v, _ in mark_b.values()], + 'projection_singleton_basis': [prev.positions(v) for v, _ in sing_b.values()], + 'full_terminal_basis': [prev.positions(v) for v, _ in space]}) + if monotonic() >= deadline: + raise TimeoutError('523-port donor census exceeded cap') + matches = [] + for choices in (full_bases, single_bases): + assignment, restricted, restricted_rank = prev.transversal(choices) + matches.append({'rank': len(assignment), + 'assignments': [{'donor_index': i, 'event': donors[i], 'projection': prev.positions(v), + 'delta': prev.positions(x)} for i, v, x in assignment], + 'rado_restricted': restricted, 'rado_restricted_rank': restricted_rank}) + t, s = (m['rank'] for m in matches) + group = components(donor_spaces+marked_spaces) + caps = cap(s,t) + all_scopes.append({'scope': 'same-chart historical/quiet cache' if retime else 'same-cut physical peers', + 'donors': donor_maps, 'possibly_changed_donors': len(eligible), + 'donors_with_nonzero_old_marked_projection': len(donor_sets), + 'marked_quotient_rank': matches[0], 'isolated_singleton_projection_rank': matches[1], + 'terminal_support_component_sizes': dict(sorted(Counter(map(len,group)).items())), + 'maximum_component': max(map(len,group)), + 'components_with_marks': [[order[k] for k in g] for g in group if any(k>=523 for k in g)], + 'raw_stock_upper': caps, + 'price_upper': price.prices(root, invoice, word, dims, price.terminal_ledger(word,dims),caps)}) + return {'status':'NO VERIFIED GAIN','pins':pins,'seconds_cap':seconds,'completed_donor_slots':523, + 'pending_donor_slots':0,'new_sites':0,'quiet_singleton_mark_positions':singletons, + 'target':'10018846261809/2500000000000000','scopes':all_scopes, + 'one_separately_charged_split_per_additional_donor': charged_refinements(root,price,word,dims,invoice)} + + +if __name__ == '__main__': + p = ArgumentParser(description=__doc__) + p.add_argument('input_root',type=Path) + p.add_argument('--seconds',type=int,default=480) + args = p.parse_args() + if not 1 <= args.seconds <= 480: + p.error('--seconds must be in 1..480') + print(json.dumps(run(args.input_root,args.seconds),sort_keys=True,indent=2)) diff --git a/research/bit-late-exterior-compensation/predecessor/round24/SOURCES.tsv b/research/bit-late-exterior-compensation/predecessor/round24/SOURCES.tsv new file mode 100644 index 0000000000..d637b693dc --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round24/SOURCES.tsv @@ -0,0 +1,13 @@ +research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +research/paired-query-only-bit/independent/interval_gate.py 8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/independent/interval_gate.py +research/paired-query-only-bit/EFREE-RESULT.json a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/EFREE-RESULT.json +pr7209/verify.py e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/verify.py +pr7209/RESULT.json 0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/RESULT.json +pr7244/PROPOSED-CLAIM.json 14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/PROPOSED-CLAIM.json +round22/verify.py 6c911eb044f9342459be2e21ef6c9c27d1c1fd47e58be87873c6e9656047c948 local-only sealed Round 22 bit/verify.py +round22/RESULT.json 6f4c3afc1185668de6e98ea1608170ae9db8ee5c2c5318b5d5a6577d609252e3 local-only sealed Round 22 bit/RESULT.json +round22/SOURCES.tsv 963e6412a7d3c6fdca55bfb5c7cddcf80c21f2a5ac99162a2c20ffb00bfe77e6 local-only sealed Round 22 bit/SOURCES.tsv +round23/verify.py b5b776fe7a5b9a99c256bf6a013831c9707ff54fb1df28f0867acc3a5b2e0ad2 local sealed Round 23 bit/verify.py +round23/RESULT.json 16863072b372547b6a062210da4d338704ce680ec22cd5e4e6702560c93a1bf7 local sealed Round 23 bit/RESULT.json +round23/SOURCES.tsv a528875c1092556b60bb77af66ca85b2a8302ea12ae4e4b746891c37fc605dc2 local sealed Round 23 bit/SOURCES.tsv +pr7258/SUMMARY.json b4f35a88da911a3b935aa3f4bbf3c921906d60df147e068bacb5b5ca66b0bfa0 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/90a63fbefcf79c3e0c0453ef0741dff8517b6167/research/bit-fixed-payload-quotient-bound/SUMMARY.json diff --git a/research/bit-late-exterior-compensation/predecessor/round24/verify.py b/research/bit-late-exterior-compensation/predecessor/round24/verify.py new file mode 100644 index 0000000000..74ec88d93e --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round24/verify.py @@ -0,0 +1,264 @@ +"""One exact 185-port BIT incidence census for old funded rank-seven ingress.""" +from argparse import ArgumentParser +from collections import defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec, spec_from_file_location +import json +from math import lcm +from pathlib import Path +from time import monotonic + +NATIVE = 'research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz' +INVOICE = 'research/paired-query-only-bit/EFREE-RESULT.json' +TARGET = '10018846261809/2500000000000000' +TRIAL = '1002040748181/250000000000000' + + +def load_code(name, path): + s = spec_from_file_location(name,path) + m = module_from_spec(s) + s.loader.exec_module(m) + return m + + +def read(root): + pins, source = {}, {} + for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + name,digest,_ = line.split('\t') + if name in pins: + raise ValueError(f'duplicate dependency path: {name}') + pins[name] = digest + data = (root/name).read_bytes() + if sha256(data).hexdigest() != digest: + raise ValueError(f'SHA-256 mismatch: {name}') + source[name] = data + return pins,source + + +def primitive(row): + scale = lcm(*(x.denominator for x in row)) + return tuple(int(x*scale) for x in row) + + +def contains(rows, normal): + return all(sum(a*b for a,b in zip(row,normal,strict=True)) == 0 for row in rows) + + +def paid_timeline(w, deadline): + n = w['public'] + chart = w['start']+[None]*w['owned_fields'] + rows = [1<= deadline: + raise TimeoutError('185-port paid incidence exceeded cap') + touches[i].append(t) + if op == 'MOVE': + f,g = args + assert chart[i] == f and f != 1 + moves[t] = i,f,g,rows[i] + chart[i] = g + elif op == 'ADD': + j,f = args + assert chart[i] == chart[j] == f + touches[j].append(t) + rows[i] ^= rows[j] + elif op == 'SWAP': + j, = args + touches[j].append(t) + chart[i],chart[j] = chart[j],chart[i] + rows[i],rows[j] = rows[j],rows[i] + observe(j,t+1,op) + else: + assert op in ('INIT','CLEAR') and args[0] != 1 + assert chart[i] == (None if op == 'INIT' else args[0]) + chart[i],rows[i] = (args[0] if op == 'INIT' else None),0 + observe(i,t+1,op) + want = [1<>523 + lin.insert(marked,outside,row) + lin.insert(singleton,outside&mask,row) + return list(marked.values()),list(singleton.values()) + + +def rank_receipt(parts,events,lin): + assigned,subset,rank = lin.transversal(parts) + return {'rank':len(assigned),'rado_subset':subset,'rado_subset_rank':rank, + 'directions':[{'port':events[i],'projection':lin.positions(v),'source_row':lin.positions(row)} + for i,v,row in assigned]} + + +def bill(root,pricing,word,dims,invoice,t,s): + g = load_code('price_intervals',root/'research/paired-query-only-bit/independent/interval_gate.py') + ledger = pricing.terminal_ledger(word,dims) + copies = len(invoice['native_instances']) + assert copies == 36 + upper,need = [],[] + for h in range(6): + stock = min(22,12+min(22,t+h)+min(10,s+h)) + raw = pricing.prices(root,invoice,word,dims,ledger,stock) + full = pricing.prices(root,invoice,word,dims,ledger,22) + prices,requirements = {},{} + for key in (TARGET,TRIAL): + charge = g.smul(g.sub(g.exact(2),g.power(2,Fraction(key))),copies) + c0,c1 = map(Fraction,g.show(charge)) + p0,p1 = map(Fraction,raw[key]['net_upper']) + f0,f1 = map(Fraction,full[key]['net_upper']) + assert 0= 0: + requirements[key] = max(0,raw[key]['needed']-12-2*(t+h)) + upper.append({'additional_separately_charged_donors':h,'stock_upper':stock, + 'also_covers_more_charged_donors':h==5,'directed':prices}) + if requirements: + need.append({'additional_separately_charged_donors':h, + 'minimum_changed_singleton_marked_libraries':requirements}) + assert upper[-1]['stock_upper']==22 + return upper,need + + +def run(root,seconds): + deadline = monotonic()+seconds + pins,data = read(root) + lin = load_code('round22',root/'round22/verify.py') + pricing = load_code('pr7209',root/'pr7209/verify.py') + assert contains([(1,0)],(0,1)) and not contains([(1,1)],(0,1)) + prior = json.loads(data['round23/RESULT.json']) + local22 = json.loads(data['round22/RESULT.json']) + public22 = json.loads(data['pr7258/SUMMARY.json']) + peer = json.loads(data['pr7244/PROPOSED-CLAIM.json']) + assert prior['target'] == public22['target'] == TARGET + assert peer['complex_BIT_premise'] == public22['retained_BIT_premise'] == '376669/100000000' + assert public22['receipt_sha256'] == sha256(data['round22/RESULT.json']).hexdigest() + assert public22['scopes'][1]['endpoint_preserving_independent_stock'] == 12 + mark_maps = json.loads(data['pr7209/RESULT.json'])['bank_maps'] + marks = [m['event'] for m in mark_maps] + word = json.loads(gzip.decompress(data[NATIVE])) + invoice = json.loads(data[INVOICE]) + assert 1 not in word['start'] + dims = {int(f):x['dim'] for f,x in word['frames'].items()} + rows = {int(f):[primitive(tuple(Fraction(v) for v in r)) for r in x['B']] for f,x in word['frames'].items()} + normal = {f:primitive(tuple(Fraction(v) for v in pricing.normal(pricing.rref([tuple(map(Fraction,r)) for r in rows[f]])))) + for f in rows if dims[f]==7} + assert len(normal)==120 and [f for f in dims if dims[f]==8]==[1] + paid,window,history,required = paid_timeline(word,deadline) + terminal = {t:v for t,(_,_,g,v) in paid.items() if g==1} + donors = sorted(set(terminal)-set(marks)) + cohort = [t for t in sorted(terminal) if dims[paid[t][1]]<=6] + assert len(terminal)==545 and len(donors)==523 and len(cohort)==185 + assert set(marks)<=set(cohort) + W = {} + for i,t in enumerate(donors+marks): + assert lin.insert(W,terminal[t],1<= deadline: + raise TimeoutError('185-port paid incidence exceeded cap') + i,f,g,old = paid[t] + assert g==1 + mids = [mid for mid,n in normal.items() if contains(rows[f],n)] + if t in marks: + known = [v['literal_chart'] for v in mark_maps[marks.index(t)]['variants'] if v['literal_chart'] is not None] + assert sorted(mids)==sorted(known) + incidence[t] = {'event':t,'owner':i,'source_chart':f,'source_rank':dims[f], + 'paid_rank':8-dims[f],'quiet_window':window[t], 'marked':t in marks, + 'old_row':lin.positions(old),'compatible_literal_charts':mids, 'clocks':[]} + scopes = [] + for retime in (False,True): + all_m,all_s = [],[] + funded_useful, any_useful = [],[] + for t in sorted(terminal): + raw = baseline.get(t,set()) + funded = set() + grant = set() + if t in incidence: + cut = window[t][1] if retime else t + choices = [] + for mid in incidence[t]['compatible_literal_charts']: + paid_rows = [(e,i,f,row) for e,i,f,row in incoming[mid] if e=0 for x in bills) and len(funded_useful)>=2, + 'aggregate_stricter_survives': any(Fraction(x['directed'][TRIAL]['charged_net_upper'][1])>=0 for x in bills) and len(funded_useful)>=3}) + return {'status':'NO VERIFIED GAIN','pins':pins,'target':TARGET,'trial':TRIAL,'seconds_cap':seconds, + 'paid_moves':len(paid),'terminal_arrivals':len(terminal),'completed_incidence_ports':len(cohort), + 'pending_incidence_ports':0,'marked_ports_held_fixed':22,'unmarked_incidence_ports':163, + 'new_sites':0,'scopes':scopes,'incidence':list(incidence.values())} + + +if __name__=='__main__': + cli = ArgumentParser(description=__doc__) + cli.add_argument('input_root',type=Path) + cli.add_argument('--seconds',type=int,default=480) + args = cli.parse_args() + if not 1<=args.seconds<=480: + cli.error('--seconds must be in 1..480') + print(json.dumps(run(args.input_root,args.seconds),sort_keys=True,indent=2)) diff --git a/research/bit-late-exterior-compensation/predecessor/round25/AUDIT.json b/research/bit-late-exterior-compensation/predecessor/round25/AUDIT.json new file mode 100644 index 0000000000..e79e71a271 --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round25/AUDIT.json @@ -0,0 +1 @@ +{"carrier_impulses": 60, "exterior_outputs": 114, "protected_paid_contacts": 2266, "scopes": [{"exterior_rank": 88, "joint_rank": 88, "paid_only_rank": 24, "singleton_expansions": 0, "source_scope": "literal other-owner source rows", "variables": 88, "zero_leak_kernel_dimension": 0}, {"exterior_rank": 88, "joint_rank": 88, "paid_only_rank": 24, "singleton_expansions": 0, "source_scope": "causal earlier-carrier closure", "variables": 88, "zero_leak_kernel_dimension": 0}, {"exterior_rank": 148, "joint_rank": 148, "paid_only_rank": 36, "singleton_expansions": 0, "source_scope": "arbitrary current coframed replacement", "variables": 148, "zero_leak_kernel_dimension": 0}], "status": "PASS"} diff --git a/research/bit-late-exterior-compensation/predecessor/round25/audit.py b/research/bit-late-exterior-compensation/predecessor/round25/audit.py new file mode 100644 index 0000000000..a2195bedb8 --- /dev/null +++ b/research/bit-late-exterior-compensation/predecessor/round25/audit.py @@ -0,0 +1,191 @@ +"""Independent single-carrier impulse replay and column-rank proof.""" +from fractions import Fraction +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import sys + +root,receipt=map(Path,sys.argv[1:]) +r=json.loads(receipt.read_bytes()) +pins={} +for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + path,digest,_=line.split('\t') + assert path not in pins + pins[path]=digest +assert pins==r['pins'] + + +def read(path): + raw=(root/path).read_bytes() + assert sha256(raw).hexdigest()==pins[path] + return raw + + +def span(seq): + pivot={} + for v in seq: + while v: + i=min(v) + if i not in pivot: + pivot[i]=v + break + v^=pivot[i] + return pivot + + +def agree(actual,given): + a=span(actual) + b=span(given) + assert len(a)==len(b)==len(span([*a.values(),*b.values()])) + + +w=json.loads(gzip.decompress(read('research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz'))) +R24=json.loads(read('round24/RESULT.json')) +R22=json.loads(read('round22/RESULT.json')) +price=json.loads(read('bit-price/RESULT.json')) +singletons=[b['banks'][0] for b in R22['scope'][1]['endpoint_consistency']['blocks'] if len(b['banks'])==1] +marked=[x for x in R24['incidence'] if x['marked']] +spec={v['event']:(v['owner'],v['source_chart'],c['chart'],frozenset(v['row']),j) + for j in singletons for c in marked[j]['clocks'][1]['compatible_charts'] for v in c['paid_ingress']} +carriers={a['event']:a for a in r['carriers']} +events=sorted(spec) +assert list(carriers)==events and len(events)==60 +for e,(owner,source,target,row,j) in spec.items(): + a=carriers[e] + assert (a['owner'],a['source_chart'],a['target_chart'],frozenset(a['old_row']),a['recipient'])==(owner,source,target,row,j) + assert a['index']==events.index(e) and a['after_cut']==e+1 +n=w['public'] +size=n+w['owned_fields'] +state=[frozenset([i]) for i in range(n)]+[frozenset()]*w['owned_fields'] +frames=w['start']+[None]*w['owned_fields'] +protected,terminal={},{} +source_rows={} +for t,item in enumerate(w['program']): + op,i=item[:2] + if op=='MOVE': + a,b=item[2:] + assert frames[i]==a and a!=1 + if t in spec: + assert spec[t][:4]==(i,a,b,state[i]) + source_rows[t]={j:state[j] for j,f in enumerate(frames) if j!=i and f==a} + assert source_rows[t]=={x['owner']:frozenset(x['row']) for x in carriers[t]['live_other_coframed_sources']} + elif b!=1: + protected[t]=i + if b==1: + terminal[t]=i + frames[i]=b + elif op=='ADD': + j,a=item[2:] + assert frames[i]==frames[j]==a + state[i]^=state[j] + elif op=='SWAP': + j=item[2] + state[i],state[j]=state[j],state[i] + frames[i],frames[j]=frames[j],frames[i] + else: + assert op in ('INIT','CLEAR') and item[2]!=1 + assert frames[i]==(None if op=='INIT' else item[2]) + frames[i]=item[2] if op=='INIT' else None + state[i]=frozenset() +assert frames==w['final']+[None]*w['owned_fields'] +assert state==[frozenset([i-111,i]) if 111<=i<222 else frozenset([i]) for i in range(n)]+[frozenset()]*w['owned_fields'] +outside=[j for j,f in enumerate(frames[:n]) if f!=1] +assert len(outside)==r['protected_exterior_output_count']==114 +assert len(protected)==r['protected_paid_contact_count']==2266 +assert len(terminal)==r['terminal_arrival_inputs_deferred']==545 + + +def impulse(e): + v=[0]*size + p=[] + peer_changes={} + for t,item in enumerate(w['program']): + op,j=item[:2] + if op=='MOVE': + if t in protected and v[j]: + p.append(t) + if t in spec: + peer_changes[t]=[k for k in source_rows[t] if v[k]] + if t==e: + v[j]^=1 + elif op=='ADD': + v[j]^=v[item[2]] + elif op=='SWAP': + k=item[2] + v[j],v[k]=v[k],v[j] + else: + v[j]=0 + return p,[j for j in outside if v[j]],peer_changes + + +paid_marks={} +exterior_marks={} +paid_columns=[] +exterior_columns=[] +carriers_with_other_old_rows=0 +for k,e in enumerate(events): + p,q,peers=impulse(e) + assert not any(peers.values()) + for j in p: + paid_marks.setdefault(j,[]).append(k) + for j in q: + exterior_marks.setdefault(j,[]).append(k) + paid_columns.append(frozenset(p)) + exterior_columns.append(frozenset(q)) + carriers_with_other_old_rows+=bool(span(source_rows[e].values())) +assert {str(k):v for k,v in paid_marks.items()}==r['nonzero_protected_contact_markers'] +assert {str(k):v for k,v in exterior_marks.items()}==r['nonzero_exterior_markers'] +assert all(not peer['earlier_carriers'] for a in carriers.values() for peer in a['live_other_coframed_sources']) +assert carriers_with_other_old_rows==60 +summary=[] +for s in r['scopes']: + p,q,joint,witness=[],[],[],[] + variables=0 + subset=set(s['exterior_basis_roles']) + for k,(e,rows) in enumerate(zip(events,s['carrier_source_bases'],strict=True)): + assert e==rows['event'] + terms=[frozenset(v) for v in rows['rows']] + other=list(source_rows[e].values()) + if s['source_scope']=='arbitrary current coframed replacement': + other.append(spec[e][3]) + agree(other,terms) + assert len(span(terms))==len(terms) + variables+=len(terms) + for delta in terms: + x=frozenset((0,t,a) for t in paid_columns[k] for a in delta) + y=frozenset((1,t,a) for t in exterior_columns[k] for a in delta) + p.append(x) + q.append(y) + joint.append(x|y) + witness.append(frozenset(k for k in y if k[1] in subset)) + expected=148 if s['source_scope']=='arbitrary current coframed replacement' else 88 + assert variables==s['variables']==expected + assert len(span(p))==s['protected_only_coefficient_rank'] + assert len(span(q))==s['exterior_only_coefficient_rank']==expected + assert len(span(joint))==s['equation_rank']==expected + assert len(span(witness))==expected + assert len(span(frozenset(v) for v in exterior_marks.values()))==s['exterior_scalar_marker_rank']==20 + assert len(subset)==20 and subset<=set(outside) + assert s['joint_kernel_dimension']==0 and not s['kernel_coefficients'] and not s['joint_live_carrier_events'] + for d in s['recipients']: + if 'bank_index' in d: + j=d['bank_index'] + old=R22['scope'][1]['banks'][j] + assert old['quotient_basis']==[[j]] + assert not d['nonzero_joint_response_rows'] and not d['new_quotient_basis'] + else: + assert d['expanded_singleton_upper']==d['independent_recipient_direction_upper']==0 + for trial,entries in d['price'].items(): + for item,threshold in zip(entries,price[trial],strict=True): + h=item['h'] + old=R24['scopes'][1]['paid_refinement_price'][h]['directed'][trial] + assert item['stock_upper']==14+2*h + assert item['net_upper']==old['charged_net_upper'] and Fraction(item['net_upper'][1])<0 + assert item['required_expansions']==threshold.get('needed_singleton_expansions') + assert not item['affordable_upper'] + summary.append({'source_scope':s['source_scope'],'variables':variables,'joint_rank':len(span(joint)), + 'exterior_rank':len(span(q)),'paid_only_rank':len(span(p)), + 'zero_leak_kernel_dimension':variables-len(span(joint)), 'singleton_expansions':0}) +print(json.dumps({'status':'PASS','carrier_impulses':len(events),'protected_paid_contacts':len(protected), + 'exterior_outputs':len(outside),'scopes':summary},sort_keys=True)) diff --git a/research/bit-late-exterior-compensation/prior.py b/research/bit-late-exterior-compensation/prior.py new file mode 100644 index 0000000000..c43102089e --- /dev/null +++ b/research/bit-late-exterior-compensation/prior.py @@ -0,0 +1,310 @@ +"""Joint 60-carrier literal BIT perturbation and endpoint quotient gate.""" +from argparse import ArgumentParser +from collections import defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec,spec_from_file_location +import json +from pathlib import Path +from time import monotonic + +NATIVE='research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz' +INVOICE='research/paired-query-only-bit/EFREE-RESULT.json' +TARGET='10018846261809/2500000000000000' +TRIAL='1002040748181/250000000000000' + + +def load(name,path): + s=spec_from_file_location(name,path) + m=module_from_spec(s) + s.loader.exec_module(m) + return m + + +def read(root): + data,pins={},{} + for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + name,digest,_=line.split('\t') + if name in pins: + raise ValueError(f'duplicate dependency path: {name}') + blob=(root/name).read_bytes() + if sha256(blob).hexdigest()!=digest: + raise ValueError(f'SHA-256 mismatch: {name}') + data[name],pins[name]=blob,digest + return data,pins + + +def xor(values): + q=0 + for v in values: + q^=v + return q + + +def record_timeline(word,carriers,watch,virtual,deadline): + n=word['public'] + chart=word['start']+[None]*word['owned_fields'] + old=[1<=deadline: + raise TimeoutError('60-carrier cap expired') + if op=='MOVE': + f,g=a + assert chart[i]==f and f!=1 + if g==1: + terminal[t]=old[i] + for j,mode,mid in virtual.get(t,()): + if mark[i]: + seen[mode][j].setdefault(mark[i],('virtual',t,i,mid)) + elif t not in carriers: + protected[t]=mark[i] + if t in carriers: + e=carriers[t] + assert (e['owner'],e['source_chart'],e['target_chart'],e['old_row'])==(i,f,g,old[i]) + sources[t]=[(k,old[k],mark[k]) for k,c in enumerate(chart) if k!=i and c==f] + mark[i]^=1<=0 and not entry.get('unaffordable',False)}) + return result + + +def run(root,seconds): + deadline=monotonic()+seconds + data,pins=read(root) + lin=load('round22',root/'round22/verify.py') + pricing=load('pr7209',root/'pr7209/verify.py') + controls(lin) + r24=json.loads(data['round24/RESULT.json']) + r22=json.loads(data['round22/RESULT.json']) + tariff=json.loads(data['bit-price/RESULT.json']) + assert [x.get('needed_singleton_expansions') for x in tariff[TARGET]]==[7,5,4] + assert [x.get('needed_singleton_expansions') for x in tariff[TRIAL]]==[8,6,None] + peer=json.loads(data['pr7244/PROPOSED-CLAIM.json']) + assert peer['complex_BIT_premise']=='376669/100000000' + assert r24['scopes'][1]['t']['rank']==r24['scopes'][1]['s']['rank']==1 + marked=[p for p in r24['incidence'] if p['marked']] + marks=[p['event'] for p in marked] + port_window={p['event']:p['quiet_window'] for p in r24['incidence']} + markmap=json.loads(data['pr7209/RESULT.json'])['bank_maps'] + assert [p['event'] for p in markmap]==marks + r22map=r22['scope'][1]['banks'] + singleton=[b['banks'][0] for b in r22['scope'][1]['endpoint_consistency']['blocks'] if len(b['banks'])==1] + assert singleton==[0,1,2,3,4,5,6,10,14,17] + carriers,watch,virtual={},defaultdict(list),defaultdict(set) + for j in singleton: + p=marked[j] + bounds=p['event'],p['quiet_window'][1] + for f in set([p['source_chart'],*p['compatible_literal_charts']]): + watch[f].append((j,bounds)) + for c in p['clocks'][1]['compatible_charts']: + for e in c['paid_ingress']: + t=e['event'] + assert t not in carriers + carriers[t]={'event':t,'after_cut':e['after_cut'],'owner':e['owner'],'source_chart':e['source_chart'], + 'target_chart':c['chart'],'old_row':lin.encoded(e['row']),'recipient':j} + # Also grant changed literal terminal operands along every compatible + # old virtual prefix from the fixed-library predecessor. + for v in markmap[j]['variants']: + for e in v['virtual_bank_events']: + for mode,lim in enumerate(bounds): + eligible=e<=lim if mode==0 else port_window[e][0]<=lim + if eligible: + virtual[e].add((j,mode,v['literal_chart'])) + events=sorted(carriers) + for i,t in enumerate(events): + carriers[t]['index']=i + assert len(events)==60 and len({e['target_chart'] for e in carriers.values()})==20 + word=json.loads(gzip.decompress(data[NATIVE])) + invoice=json.loads(data[INVOICE]) + dims={int(f):v['dim'] for f,v in word['frames'].items()} + source,protected,exterior,terminal,required,seen=record_timeline(word,carriers,watch,virtual,deadline) + donors=sorted(set(terminal)-set(marks)) + assert len(donors)==523 + W={} + for i,t in enumerate(donors+marks): + assert lin.insert(W,terminal[t],1<>523)&~(1<= deadline: + raise TimeoutError("late exterior compensation cap") + if op == "MOVE": + assert chart[i] == a[0] + if t in events: + marker[i] ^= 1 << events[t] + chart[i] = a[1] + elif op == "ADD": + j, f = a + assert chart[i] == chart[j] == f + rows[i] ^= rows[j] + marker[i] ^= marker[j] + elif op == "SWAP": + j = a[0] + chart[i], chart[j] = chart[j], chart[i] + rows[i], rows[j] = rows[j], rows[i] + marker[i], marker[j] = marker[j], marker[i] + observe(j) + else: + assert op in ("INIT", "CLEAR") and a[0] != 1 + chart[i], rows[i], marker[i] = (a[0] if op == "INIT" else None), 0, 0 + observe(i) + assert chart == word["final"] + [None] * word["owned_fields"] + final = defaultdict(set) + for i, f in enumerate(chart): + if not marker[i] and rows[i] and f in wanted: + final[f].add(rows[i]) + return (final, clean, all_rows), marker + + +def kernel(spaces, constraints, lin): + cols = [(i, row) for i, s in enumerate(spaces) for row in s] + pivots, equations = {}, [] + for mask, span in constraints: + here = defaultdict(int) + for j, (i, row) in enumerate(cols): + if (mask >> i) & 1: + for k in lin.positions(lin.reduce(span, row)[0]): + here[k] ^= 1 << j + for row in here.values(): + if row: + lin.insert(pivots, row) + equations.append(row) + null = [] + for j in range(len(cols)): + if j in pivots: + continue + vector = 1 << j + for k, (row, _) in sorted(pivots.items()): + if (vector & row).bit_count() & 1: + vector ^= 1 << k + assert all((row & vector).bit_count() % 2 == 0 for row in equations) + output = [0] * len(spaces) + for k in lin.positions(vector): + i, row = cols[k] + output[i] ^= row + null.append(output) + assert len(null) + len(pivots) == len(cols) + return len(cols), len(pivots), null + + +def watch_sites(incidence, marks, singleton): + watch, virtual = defaultdict(list), defaultdict(set) + for j in singleton: + p = marks[j] + limits = p["event"], p["quiet_window"][1] + for f in {p["source_chart"], *p["compatible_literal_charts"]}: + watch[f].append((j, limits)) + for v in p["_variants"]: + for e in v["virtual_bank_events"]: + for mode, limit in enumerate(limits): + if (e if mode == 0 else incidence[e]["quiet_window"][0]) <= limit: + virtual[e].add((j, mode, v["literal_chart"])) + return watch, virtual + + +def evaluate(inputs): + deadline = monotonic() + 480 + for p, sha in PINS.items(): + if sha256((ROOT / p).read_bytes()).hexdigest() != sha: + raise ValueError(f"SHA-256 mismatch: {p}") + old = runpy.run_path(str(ROOT / "prior.py")) + frozen = json.loads((ROOT / "PRIOR.json").read_bytes()) + source, pins = old["read"](inputs) + lin = old["load"]("r22", inputs / "round22/verify.py") + pricing = old["load"]("p7209", inputs / "pr7209/verify.py") + bit = json.loads(gzip.decompress(source[old["NATIVE"]])) + invoice = json.loads(source[old["INVOICE"]]) + dims = {int(f): x["dim"] for f, x in bit["frames"].items()} + r24 = json.loads(source["round24/RESULT.json"]) + r22 = json.loads(source["round22/RESULT.json"]) + tariff = json.loads(source["bit-price/RESULT.json"]) + ports = {p["event"]: p for p in r24["incidence"]} + marks = [p for p in ports.values() if p["marked"]] + bank_events = [p["event"] for p in marks] + markmap = json.loads(source["pr7209/RESULT.json"])["bank_maps"] + for p, m in zip(marks, markmap, strict=True): + assert p["event"] == m["event"] + p["_variants"] = m["variants"] + singleton = [0, 1, 2, 3, 4, 5, 6, 10, 14, 17] + watch, virtual = watch_sites(ports, marks, singleton) + carriers = {c["event"]: {**c, "old_row": lin.encoded(c["old_row"])} + for c in frozen["carriers"]} + _, protected, exterior, terminal, required, seen = old["record_timeline"]( + bit, carriers, watch, virtual, deadline) + events = {t: c["index"] for t, c in carriers.items()} + libs, marker = libraries(bit, events, deadline) + assert all(marker[i] == m for i, m in exterior.items()) + assert (len(events), len(protected), len(exterior), len(terminal)) == (60, 2266, 114, 545) + W = {} + donors = sorted(set(terminal) - set(bank_events)) + for i, t in enumerate(donors + bank_events): + assert lin.insert(W, terminal[t], 1 << i)[0] + assert len(W) == lin.rnk(required) == 545 and all(not lin.reduce(W, row)[0] for row in required) + spaces = [[lin.encoded(row) for row in item["rows"]] + for item in frozen["scopes"][-1]["carrier_source_bases"]] + hard = [(m, {}) for m in sorted(set(protected.values()) - {0})] + n, raw_rank, _ = kernel(spaces, hard + [(m, {}) for m in exterior.values()], lin) + assert n == raw_rank == 148 + reports = [] + labels = ("final live marker-free", "historical marker-free", "all old historical", + "ignore all protected and exterior constraints") + for tag, lib in zip(labels, (*libs, {}), strict=True): + bases = {} + for frame, rows in lib.items(): + basis = {} + for row in sorted(rows): + lin.insert(basis, row) + bases[frame] = basis + combined = hard + [(m, bases.get(bit["final"][i], {})) for i, m in exterior.items()] + if tag == labels[-1]: + combined = [] + size, rank, null = kernel(spaces, combined, lin) + for vec in null: + assert all(not lin.reduce(base, old["xor"](vec[j] for j in lin.positions(mask)))[0] + for mask, base in combined) + names = [] + for j in singleton: + base = {lin.encoded(row["row"]) for row in r22["scope"][1]["banks"][j]["source_witnesses"]} + candidates = {old["xor"](v[i] for i in lin.positions(m)) for m in seen[1][j] for v in null} + _, intersection = lin.intersection_projection(lin.raw_basis(sorted(base | candidates)), W) + new = {} + for projection, row in intersection: + lin.insert(new, (projection >> 523) & ~(1 << j), row) + if new: + names.append([j, len(new)]) + reports.append({"scope": tag, "variables": size, "rank": rank, "nullity": len(null), + "coframed_libraries": len(bases), "expansions": names, + "price": old["price"](inputs, pricing, bit, dims, invoice, len(names), tariff)}) + if monotonic() >= deadline: + raise TimeoutError("late exterior compensation cap") + print(json.dumps({"status": "EXACT_LATE_EXTERIOR_COMPENSATION_UPPER", "pins": PINS, + "input_pins": pins, "scope": reports, "paid": len(protected), + "exterior": len(exterior), "deferred_terminal": len(terminal)}, + sort_keys=True, indent=2)) + + +if __name__ == "__main__": + assert __debug__ + evaluate(ROOT / "inputs") From c908c84672590317bc8670709c5da41d117e1703 Mon Sep 17 00:00:00 2001 From: ToikY <27568617+ToikY@users.noreply.github.com> Date: Wed, 11 Nov 2026 16:13:05 -0800 Subject: [PATCH 3/3] Reuse the pinned historical replay repair The guide already includes the #7000/#7001 navigation from #7147/#7156. Reuse d2e54af81f9dda6487636b79d4964a2385d89b2b from #7257, also verified in #7339, to run the historical audit at its inspected snapshot. Credit to unpaidmoon for the audit, Dennis for the historical gate, and Matarener for the pinned snapshot precedent. --- .../historical-selected-replay-gap/README.md | 6 +- .../SOURCES.json | 60 +++++++++--------- .../VERIFY.json | 31 +-------- .../historical-selected-replay-gap/verify.py | 63 ++++++++++++++----- 4 files changed, 82 insertions(+), 78 deletions(-) diff --git a/research/historical-selected-replay-gap/README.md b/research/historical-selected-replay-gap/README.md index 55d8cc3b49..36d9a873ca 100644 --- a/research/historical-selected-replay-gap/README.md +++ b/research/historical-selected-replay-gap/README.md @@ -69,7 +69,11 @@ python3 -B scripts/research_package.py --package research/historical-selected-re The direct command prints `PASS_HISTORICAL_SELECTED_REPLAY_GAP`. A registered replay prints `PASS_REGISTERED_RESEARCH_PACKAGE`. Both require Git history -containing the two inspected commits. +containing the two inspected commits and the source and manifest objects at +`2485805a6d47f36ea83ddde6327d453ac82d44dc`. The verifier uses a temporary +sparse checkout of that commit, checks the declared source digests there, and +uses its planner and manifest inventory. The recorded rejections and selection +therefore remain reproducible after later changes to the live Makefile or CI guide. ## Open next questions diff --git a/research/historical-selected-replay-gap/SOURCES.json b/research/historical-selected-replay-gap/SOURCES.json index c1010eec95..62bb8b3950 100644 --- a/research/historical-selected-replay-gap/SOURCES.json +++ b/research/historical-selected-replay-gap/SOURCES.json @@ -4,13 +4,13 @@ "files": [ { "path": "Makefile", - "usage": "input", + "usage": "provenance", "git_blob": "0d683a06b9e7ee162496108ce9a7c5d2ee94fccf", "sha256": "4f2d4f2dcd15139ec82658a975f85ed300897385f85799218539f4c8d60567da" }, { "path": "certificates/partial-swap-network.json", - "usage": "input", + "usage": "provenance", "git_blob": "eccafa830c16170c36faf93045ddf1f638f7bcd4", "sha256": "4c0b9d37e1034b2076e30a70f8e514416298c462d9ee98bc87fe6556b14df786" }, @@ -22,7 +22,7 @@ }, { "path": "docs/ci-verification.md", - "usage": "input", + "usage": "provenance", "git_blob": "63ba3e9aa8bdc5e942b56e34244b92b16f854085", "sha256": "c7d3027e9ad8bcbff68f07aa9576b30fb2f3c76c44d876d40c7fdbf4a3e2228a" }, @@ -34,163 +34,163 @@ }, { "path": "research/clifford-state-performance/SOURCE.json", - "usage": "input", + "usage": "provenance", "git_blob": "6f98a0061a5104dfab82c9e806f819b41811f684", "sha256": "396d0f08df24952248140d5c65c51b8c902ef1c580892ff7ea182890530f67ee" }, { "path": "research/community-batch1047-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "5e0f92af463ec12c5e1dcc3effd44081a88af647", "sha256": "07a9daeaf2bda308a92e9a4684f13d5fc766c7772d74801fceb7f4599fdab226" }, { "path": "research/community-batch1099-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "9e13266bf85e627f1b7dc225e9530ea69fd2c7f0", "sha256": "421e1211fb1897c45621dc6801c276e53f2e6f335583c9c9049e535f87c0a3b1" }, { "path": "research/community-batch932-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "cc4d03eb59b9ab3f952735f7e88ff18c2d15d7af", "sha256": "184629cac91a5cfaca50330a88596008b824221433867dcf8117539c913c284a" }, { "path": "research/community-batch970-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "8b9f4111badf7de5d97684799560b55110e9da79", "sha256": "23188ed920e38a54006cb883e181585620821c63bf7e8b5e05d32719417cc37e" }, { "path": "research/community-frontier741-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "a5300d4e7a5381a3f443fc54c768ca6f0f236d68", "sha256": "3c820fb30e1b4d9bcfc6a7ab524375e5b2abd66b940af2c509146104f0bcd79c" }, { "path": "research/community-frontier890-audit/CONTENT-COVERAGE.json", - "usage": "input", + "usage": "provenance", "git_blob": "d7ff6d777b01d69b6ce84caf25d3b7e4a4d2f211", "sha256": "6b185a9902652f893f3ebd8ada92d2f11b6de6533a9a4d11718a8a4496101128" }, { "path": "research/community-hyperplane599-audit/SOURCE.json", - "usage": "input", + "usage": "provenance", "git_blob": "546f37d326d10a99910ae8f908e71ef768524d98", "sha256": "65099d764bfcc39bda5e4d9966783611b094c3522dbdd1435cd498d657a8ef8e" }, { "path": "research/community-k492-audit/SOURCE.json", - "usage": "input", + "usage": "provenance", "git_blob": "e538481e4cb16ed936d3195f2dfb5b5a9ca0a76b", "sha256": "2c0f4fa5bc150d05658af2e7c54c4d2c337dd52b7efd3d69530ae73bcbdf452a" }, { "path": "research/community-reconciliation92-audit/MANIFEST.json", - "usage": "input", + "usage": "provenance", "git_blob": "2a2e93685173d5f13cbb5abe740f5d90352e0228", "sha256": "5f501f3c118131e7d069f30ad77186eb2ad6961f9680a0ef105f4514ed41808a" }, { "path": "research/partial-swap-digest/baseline.py", - "usage": "input", + "usage": "provenance", "git_blob": "a2f0190704db83bd8ef48e46e723c49b925804fe", "sha256": "81e9af92cdf38243a540cdcff2062778e449467848d444da37a9553c12ca4c34" }, { "path": "research/r420-two-sided-basis/SOURCES.json", - "usage": "input", + "usage": "provenance", "git_blob": "5d718e11e62f4bcadecf1e02d6b61f87dbe190b0", "sha256": "d9810b0d139c5a1211fd2c1f0d142187cc1fca30026e1e7bc4f9ecfacf1596d1" }, { "path": "research/skip-clones/SOURCE.json", - "usage": "input", + "usage": "provenance", "git_blob": "8d1bb3b9c8189e35e5d8bfdfa632d7473e8be0d5", "sha256": "0b68e63e35a97ce6b0cdb6e291b88ebaa8f2dd4afb70b2498f10ee89428258dc" }, { "path": "research/split-skip/SOURCE.json", - "usage": "input", + "usage": "provenance", "git_blob": "2ab610b6ea2edd2865fda793ef2168b0c76afb4f", "sha256": "7c2b4646a3ecfef6f881da5c43e4bd0fa9a4d1b00548b8ab458d897e16735134" }, { "path": "scripts/historical-ci-inputs/Makefile", - "usage": "input", + "usage": "provenance", "git_blob": "aff68409021c9d401a6f8013b9dfd7dbcc30f2a8", "sha256": "ea8830dd79da493e2d75baf753d733ff7efbcf2b4794afe41fae0ac8f3055646" }, { "path": "scripts/historical-ci-inputs/ledger-batch932-run_isolated_tests.py", - "usage": "input", + "usage": "provenance", "git_blob": "65db599ab0b1dea0312c4ca048e0bd0f44c3736f", "sha256": "96ea543e6c707424afe247e77bd86c82152f90fc76a0773c4232145da5cdf8d1" }, { "path": "scripts/historical-ci-inputs/ledger-batch932-test_isolated_test_runner.py", - "usage": "input", + "usage": "provenance", "git_blob": "34820a8f24678f918f4d0e7a35380d8013fc3495", "sha256": "628391b6abfbc8674ceec1751867a4392f2cc0b5b66886243e139af86cf355ac" }, { "path": "scripts/historical-ci-inputs/ledger-batch970-verify_selected_result.py", - "usage": "input", + "usage": "provenance", "git_blob": "c755b76e0d44ba4917aa94440ebe54daefce5b2a", "sha256": "d7fd929726b326aeeaf0a3996475adec88eee9aac09ae0bebeeaa0bc1fc8f199" }, { "path": "scripts/historical-ci-inputs/ledger-frontier741-ci-verification.md", - "usage": "input", + "usage": "provenance", "git_blob": "7f3c012504187917a728b9fe87043f0fc8cd006a", "sha256": "a854022e0e1d5d4db4d60e586be3ea56005013ef14a1fc06d02bc06e8529c4b0" }, { "path": "scripts/historical-ci-inputs/partial-swap-context.json", - "usage": "input", + "usage": "provenance", "git_blob": "ad65114886bf34a4fd27e79f3be502389e689faa", "sha256": "833a9642f33aeab2ffea17ec9c6b82e0a953f90192b2c82e10bef21538dccba9" }, { "path": "scripts/historical-ci-inputs/partial-swap-network.json", - "usage": "input", + "usage": "provenance", "git_blob": "52075f2463f60af5e16571347f24274fce73a1ea", "sha256": "f3c4be597b2f2136da4ae2cc80c7454f63c90aa01f84e5b8131cee4dd55de815" }, { "path": "scripts/partial_swap/shared.py", - "usage": "input", + "usage": "provenance", "git_blob": "44a0e454c70f9c4b98e258b8443612e6a119904b", "sha256": "5a0646a50b9f3e8ea55168620a78e8853b0ab810517cefc8cfb8696aedee278a" }, { "path": "scripts/replay_historical_check.py", - "usage": "input", + "usage": "provenance", "git_blob": "1e92fff2782970ef71378f594f2350d245a4db26", "sha256": "5467619c78183d3adc82b0cb55af28e5c1a01fca2b0588677816244b53e2bafd" }, { "path": "scripts/research_package.py", - "usage": "input", + "usage": "provenance", "git_blob": "091b4c8f58bac9a9580d76025b887dc5c873d05f", "sha256": "e1256016e7f51827d04fa2179255989f639ae1d97afaa9c16265f85a0c6abd70" }, { "path": "scripts/run_isolated_tests.py", - "usage": "input", + "usage": "provenance", "git_blob": "a96ab35b315ce492e7fbbfd6c5ae211aa066b541", "sha256": "49eb56dd0fc0d8d8ffdb209970a7adf2176223580646f575d5c22e59543b381c" }, { "path": "scripts/verify_selected_result.py", - "usage": "input", + "usage": "provenance", "git_blob": "6882a4700e410dec569b51ae2eaf1a19cc019195", "sha256": "d6b305eac5b9bdb8172c469ad30a1655a60fa0aceac8b1bf610e1b73f51babd8" }, { "path": "tests/test_isolated_test_runner.py", - "usage": "input", + "usage": "provenance", "git_blob": "343b24abf6719b81805eba5a84c74e57634c8288", "sha256": "3a5470d0b139828b90e19bf9583ddeafcd69f8e34f2824664eb3a2958a52e34d" } diff --git a/research/historical-selected-replay-gap/VERIFY.json b/research/historical-selected-replay-gap/VERIFY.json index 98553e72ed..ab7efa3471 100644 --- a/research/historical-selected-replay-gap/VERIFY.json +++ b/research/historical-selected-replay-gap/VERIFY.json @@ -4,36 +4,7 @@ "python": "3.12", "requirements": [], "inputs": [ - "Makefile", - "certificates/partial-swap-network.json", - "docs/ci-verification.md", - "research/clifford-state-performance/SOURCE.json", - "research/community-batch1047-audit/CONTENT-COVERAGE.json", - "research/community-batch1099-audit/CONTENT-COVERAGE.json", - "research/community-batch932-audit/CONTENT-COVERAGE.json", - "research/community-batch970-audit/CONTENT-COVERAGE.json", - "research/community-frontier741-audit/CONTENT-COVERAGE.json", - "research/community-frontier890-audit/CONTENT-COVERAGE.json", - "research/community-hyperplane599-audit/SOURCE.json", - "research/community-k492-audit/SOURCE.json", - "research/community-reconciliation92-audit/MANIFEST.json", - "research/partial-swap-digest/baseline.py", - "research/r420-two-sided-basis/SOURCES.json", - "research/skip-clones/SOURCE.json", - "research/split-skip/SOURCE.json", - "scripts/historical-ci-inputs/Makefile", - "scripts/historical-ci-inputs/ledger-batch932-run_isolated_tests.py", - "scripts/historical-ci-inputs/ledger-batch932-test_isolated_test_runner.py", - "scripts/historical-ci-inputs/ledger-batch970-verify_selected_result.py", - "scripts/historical-ci-inputs/ledger-frontier741-ci-verification.md", - "scripts/historical-ci-inputs/partial-swap-context.json", - "scripts/historical-ci-inputs/partial-swap-network.json", - "scripts/partial_swap/shared.py", - "scripts/replay_historical_check.py", - "scripts/research_package.py", - "scripts/run_isolated_tests.py", - "scripts/verify_selected_result.py", - "tests/test_isolated_test_runner.py" + "scripts/research_package.py" ], "commands": [ { diff --git a/research/historical-selected-replay-gap/verify.py b/research/historical-selected-replay-gap/verify.py index 83b995941a..9d266c5a4e 100644 --- a/research/historical-selected-replay-gap/verify.py +++ b/research/historical-selected-replay-gap/verify.py @@ -6,8 +6,10 @@ """ import hashlib import importlib.util +import json import subprocess import sys +import tempfile from pathlib import Path ROOT = Path(__file__).resolve().parents[2] @@ -61,31 +63,47 @@ def require(ok, message): raise SystemExit(message) -def load_checker(): - path = ROOT / "scripts/replay_historical_check.py" - spec = importlib.util.spec_from_file_location("historical_selected_replay_gap_checker", path) +def load_module(path): + spec = importlib.util.spec_from_file_location(path.stem, path) module = importlib.util.module_from_spec(spec) spec.loader.exec_module(module) return module +def checkout_snapshot(snapshot, sources, runner, env): + paths = [runner.canonical_relative_path(row["path"]) for row in sources["files"]] + git = ["git", "-c", "maintenance.auto=false", "-c", "gc.auto=0", + "-c", "core.autocrlf=false"] + subprocess.run([*git, "clone", "--quiet", "--shared", "--no-tags", "--no-checkout", + "--", str(ROOT), str(snapshot)], cwd=ROOT, env=env, check=True) + subprocess.run([*git, "update-ref", "--no-deref", "HEAD", INSPECTED], + cwd=snapshot, env=env, check=True) + # The pinned planner reads omitted manifests from the sparse HEAD/index. + patterns = "".join(f"/{path.as_posix()}\n" for path in paths) + subprocess.run([*git, "sparse-checkout", "set", "--no-cone", "--stdin"], + cwd=snapshot, env=env, input=patterns.encode("utf-8"), check=True) + subprocess.run([*git, "read-tree", "-mu", "HEAD"], cwd=snapshot, env=env, check=True) + for path, row in zip(paths, sources["files"], strict=True): + require(hashlib.sha256((snapshot / path).read_bytes()).hexdigest() == row["sha256"], + "historical checkout source digest changed: " + path.as_posix()) + + def entries(checker): for name, config in checker.CONFIG.items(): for entry in [config, *config.get("additional_inputs", [])]: yield name, entry -def reject(checker, entry): +def reject(root, checker, entry): try: - checker.authenticated_input(ROOT, entry) + checker.authenticated_input(root, entry) except ValueError as exc: return str(exc) raise SystemExit("historical input was admitted: " + entry["path"]) -def main(): - require(not sys.flags.optimize, "assertions must stay enabled") - checker = load_checker() +def check_snapshot(root, env): + checker = load_module(root / "scripts/replay_historical_check.py") selected = [entry for name, entry in entries(checker) if name == "tooling-ledger" and entry["path"] == SELECTED_PATH] require(len(selected) == 1, "selected-result checker overlay is not unique") @@ -94,7 +112,7 @@ def main(): require(entry["accepted_live_sha256"] == [SELECTED_ACCEPTED], "accepted selected-checker successors changed") frozen = (checker.INPUTS / entry["input"]).read_bytes() - live = (ROOT / SELECTED_PATH).read_bytes() + live = (root / SELECTED_PATH).read_bytes() require(hashlib.sha256(frozen).hexdigest() == SELECTED_PIN, "frozen selected checker bytes changed") require(hashlib.sha256(live).hexdigest() == SELECTED_LIVE, "live selected checker digest changed") require(SELECTED_LIVE not in (SELECTED_PIN, SELECTED_ACCEPTED), "live checker was already admitted") @@ -102,7 +120,7 @@ def main(): # live successor, not a broken comparison. require(SELECTED_PIN in (SELECTED_PIN, *entry["accepted_live_sha256"]), "pin membership control failed") - require(reject(checker, entry) == REJECTIONS[SELECTED_PATH][1], + require(reject(root, checker, entry) == REJECTIONS[SELECTED_PATH][1], "selected checker rejection text changed") counts = {path: 0 for path in REJECTIONS} @@ -110,7 +128,7 @@ def main(): for _name, item in entries(checker): if item["path"] not in REJECTIONS: continue - message = reject(checker, item) + message = reject(root, checker, item) counts[item["path"]] += 1 messages.setdefault(item["path"], message) for path, (count, message) in REJECTIONS.items(): @@ -118,20 +136,31 @@ def main(): require(messages[path] == message, "rejection text changed for " + path) require(sum(counts.values()) == 19, "rejection total changed") ci = [item for _name, item in entries(checker) if item["path"] == CI_PATH] - require(len(ci) == 1 and hashlib.sha256((ROOT / CI_PATH).read_bytes()).hexdigest() == CI_LIVE, + require(len(ci) == 1 and hashlib.sha256((root / CI_PATH).read_bytes()).hexdigest() == CI_LIVE, "selected CI note digest changed") diff = subprocess.check_output( - ["git", "diff", "--name-only", PARENT, INSPECTED], cwd=ROOT, text=True) + ["git", "diff", "--name-only", PARENT, INSPECTED], cwd=root, env=env, text=True) changed = sorted(name for name in diff.splitlines() if name) require(changed == CHANGED, "inspected commit diff changed") - sys.path.insert(0, str(ROOT / "scripts")) - from research_package import plan_details - details = plan_details(ROOT, set(changed)) + planner = load_module(root / "scripts/research_package.py") + details = planner.plan_details(root, set(changed)) require([row["package"] for row in details] == PLAN_PACKAGES, "helper plan selection changed") matched = {name for row in details for names in row["causes"].values() for name in names} require(sorted(set(changed) - matched) == UNMATCHED, "unmatched plan paths changed") - require(plan_details(ROOT, set()) == [], "empty change set selected a package") + require(planner.plan_details(root, set()) == [], "empty change set selected a package") + + +def main(): + require(not sys.flags.optimize, "assertions must stay enabled") + sources = json.loads(Path(__file__).with_name("SOURCES.json").read_bytes()) + require(sources["base_commit"] == INSPECTED, "historical checkout base changed") + runner = load_module(ROOT / "scripts/research_package.py") + env = runner.git_source_env() + with tempfile.TemporaryDirectory(prefix="historical-selected-replay-") as temporary: + snapshot = Path(temporary) / "snapshot" + checkout_snapshot(snapshot, sources, runner, env) + check_snapshot(snapshot, env) print("PASS_HISTORICAL_SELECTED_REPLAY_GAP") print("selected_checker_live=" + SELECTED_LIVE) print("rejections=19 distinct_paths=7 plan_packages=9")