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Its Apache-2.0 +license is retained at upstream/LICENSE. The exact source URLs and hashes +are recorded in upstream/manifest.json. Proposed modifications are supplied +as separate files under patches/; upstream source files remain unchanged. + +The original local research note, scripts, certificates, patches, and +documentation were prepared by Douglas Colkitt with assistance from OpenAI +Codex. The community release incorporates work by the contributors identified +in the notices below; it is not solely Douglas Colkitt's work. +This project is not an official OpenAI release or an OpenAI endorsement. + +Related contributions (not imported in this checkpoint): +Zhihao Chen (jacklightChen), PR #7, supplied an earlier ternary five-subset +motif, finite-alphabet transfer and a different compressed producer: +https://github.com/CrocSwap/integer-mult-bounds/pull/7 +The present checkpoint claims no priority for that motif. Related compressed +complex-network work was submitted by eumemic in PR #3: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +The pending contributions and their stronger bounds require their own review; +this notice does not represent adoption or verification of their claims. + +Additional community work, including parallel and superseded submissions, is +acknowledged in CONTRIBUTORS.md, with pinned submission metadata in +docs/research/contribution-snapshot.json. These acknowledgements do not imply +joint authorship of the checkpoint, incorporation of pending code, or verification +of submitted mathematical claims. Original source-specific notices remain in force. + +Community release (accepted by conditional maintainer audit): +The following original contributor notices apply to the imported PR #39 chain. +The preceding non-import statements describe the preserved 2^-30 checkpoint. + +Ternary five-subset construction and common-four-point resynthesis +Copyright 2026 Zhihao Chen (jacklightChen) + +This is Zhihao Chen's first submission of this specific construction to this +repository. Research, proof development, code and verification were prepared +with substantial assistance from GPT-6 Astra (OpenAI Codex), as identified by +the contributor. This is not independent review or an OpenAI endorsement. +Future research building on this contribution should explicitly acknowledge +Zhihao Chen (jacklightChen), cite the accompanying note and pull request, and +retain the preceding contributors' attribution. This notice records research +provenance; the repository's Apache-2.0 license remains unchanged. + +Dependencies retained from eumemic's Claude-assisted PRs #3 and #5: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +https://github.com/CrocSwap/integer-mult-bounds/pull/5 +PR #5 commit: d3d370c34937503bd3fa63c83d505a05e8e50893 +These include complex_circuit.py, complex_network.py, fast_gaussian.py, +their generators, construction notes and certificates. The Gaussian input +scaling proof is corrected in this derivative; see the modification notice below. +Aligned pairing also appears in Bortlesboat's PR #2. Retained totals and bank +sharing appear in dleen's PR #4 and cheaper retained centers in eumemic's PR #6. +Their results and ideas are credited separately from this new construction. + +Bulk recursion and controlled tensor basis, 8 October 2026 +Copyright 2026 icekylinx + +The new projector batching, controlled simultaneous basis, mixed-width tape +recursions, whole-residual complex recursion, and dependency-path precision +guard in the batched-23 proof package are contributed by icekylinx, developed +with substantial OpenAI GPT-6 Astra assistance. Review corrections and +repository integration were prepared with OpenAI Codex assistance. They build on the retained +PR #7 finite producers and the preceding contributions credited above. +The new package retains the repository's Apache-2.0 license and the original +authors' attribution. It is not an official OpenAI release or endorsement. + +Modification notice, 8 October 2026 (icekylinx): the retained fast Gaussian +proof now bounds shifted approximation error by F=2^ceil(1.14 alpha^2). +The P=34p precision budget and asymptotic exponent are unchanged. New batching +checks are integrated into make verify. Existing attribution and licenses +are retained. + +Partial-swap extension, 8 October 2026 +Copyright 2026 icekylinx + +The partial-swap framing, binary retained-total triple construction, +dependency-preserving positive labels and carrier reuse, unequal (25,23,57) +common basis, improved complex batching, and exact assembly are contributed +by icekylinx with substantial OpenAI GPT-6 Astra and Codex assistance. +This extension directly inherits PR #10, commit +62691e395a0458ce089a1c7b5d89e74291e95e29. The portable producer adapters +modify the retained paired-exclusion and shared-point implementations credited +above. The original licenses, attribution, and Gaussian correction are retained. + +Endpoint-gauge extension, 8 October 2026 +Copyright 2026 icekylinx + +The complementary auxiliary endpoint gauges, (32,30,40) controlled basis, +general nondegenerate binary phase residuals, retained-center complex producer, +updated path guard and exact assembly are contributed by icekylinx with +substantial OpenAI GPT-6 Astra and Codex assistance. This extension inherits +f2ab41aebad47861caf6316282c1793e5513845e and its PR #10 ancestry. New portable +adapters retain the paired-exclusion and shared-point contributions credited +above. Original licenses, notices and the Gaussian correction are retained. + +Structured-basis and semantic-bulk extension, 8 October 2026 +Copyright 2026 icekylinx + +The selected (32,30,36) bit construction, A1/A5 block refinements, fixed +middle-axis I+J profiles with bounded-minor CRT certificates, mixed dyadic +complex centers, complete data-front batching and circuit-specific assembly +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. The immediate parent is ed90fd940279c336ebc45968631bdebfb087b505. + +The semantic/bulk compatibility argument, literal scalar charge, product row +stock and parameterization adapt Zhihao Chen (jacklightChen)'s PR #23, +commit 661ebabc1076c9f525d7ce4967c876b203fa9827. Translated complex endpoints +are adopted from the same contributor's PR #21, +commit 5ba6cf0bfb68f2be8d15610e7972207c50254d6a, following eumemic's source-frame +work and the earlier nested-basis contributions. + +Completed-child semantic precision, arbitrary-coordinate routing, phase-cell +Gaussian inversion and bulk tape transfer are credited to the RaD project +(hipotures), commit 45d9b60355872041f9275f77c057514def0d45bc, exposed through +PR #20 at 4f8d6c8272b5ff307a0da51df545ec3cd96a8b6e. Their selected proof +sources retain their separate CC0 license and original NOTICE under +references/semantic-bulk/rad20. The PR #23 source retains its recorded OpenAI +Codex assistance; RaD retains its recorded Codex and GPT-6.1-Sol Ultra +assistance. These are source attributions, not claims about this session's +runtime model. Related contributions by Rohan Arun and Aurel Prosz remain +acknowledged in the imported notices. No exclusive priority or additional +license condition is asserted. + +Copied retained-center extension, 8 October 2026 +Copyright 2026 icekylinx + +The copied retained-center schedule in both orientations, its complex-phase +transfer, the Wm-N+L rank budget, and the selected (25,23)/(28,28) composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. This extension inherits PR #32 at +0ef3aeb61f55cc0b321ce6a0ef00acee25cefe52 and the preceding PR #10/#18/#24 work. + +The two-stage topology and paid copied-stream endpoint correction are due +to Aurel Prosz (Paureel), c82d09eb4781b68435e3fa3eb6beea72fa900fab, +through Zhihao Chen (jacklightChen)'s PR #29 unequal-axis composition, +9d963275075fa98f1da821e27757b238dafd6b3c. That source also credits Swapnil +Jain's two-stage development at ae405eb474d1486b2d8aef90139869f927f4836a. + +The contiguous corner method, incidence factorization and exact partition +certificates are due to Rohan Arun (PR #31), method commit +02f68f95369c39955c5ffcfddbd75cd83e26b305. The selected (25,23) certificate +specializes Dominik Scholz's parameterization (PR #33), +a499a345c040aa15b68e984a0904eadc485c7a7e. Their source notices and proof +snapshots are preserved in references/copied-centers. Historical OpenAI +Codex, GPT-6 Astra and Anthropic Claude Opus 5.5 assistance is credited to +the respective imported sources. Existing PR #21/#23 and RaD attribution, +licenses and the Gaussian correction remain in force. + +Copied centers with reversed (23,25) data corners, 2026-10-08 +Rohan Arun with substantial OpenAI Codex assistance supplies the composition, +exact dimension23 controls and cost/assembly integration. James Chang's PR34 +supplies the reversed boundary family; icekylinx's PR36 supplies copied retained +centers and the selected complex graph. The balanced assembly remains attributed +to RaD/hipotures and its PR34 specialization. Retain Dominik Scholz PR33, Rohan +Arun PR31, Zhihao Chen PR29/21/23, Paureel/Aurel Prosz, Swapnil Jain, icekylinx, +eumemic, Douglas Colkitt, OpenAI and all earlier notices and hypotheses. +This is not a claim of formal verification, new foundational rank identities, +global optimality or measured runtime speedup. + +Fixed middle basis with copied reversed corners (2026-10-08): +Rohan Arun, with substantial OpenAI Codex assistance. Composition and +simultaneous-basis proof retain icekylinx PR32/36, James Chang PR34, +Dominik Scholz PR35/38, Zhihao Chen, Paureel, Swapnil Jain, RaD/hipotures, +eumemic and all preceding attribution and licenses. See research/copied-fixed-reversed. + +Changed-graph composition with copied centers and fixed bases, 8 October 2026 +Prepared with OpenAI Codex assistance. +The new composition uses icekylinx PR36 copied centers and PR32 fixed-I+J +projectors/profiler, Dominik Scholz PR35 two fixed factors and CRT argument, +Zhihao Chen (jacklightChen) PR29/23 interfaces, Aurel Prosz (Paureel) and +Swapnil Jain's two-stage development, Rohan Arun PR25/31 corner methods, +Dominik Scholz PR33/38 dimension/composition work; James Chang (jamesyc) +PR34 reversed geometry and balanced transfer; Rohan Arun PR37/39/40 +reversed integration, modular data tests and both-fixed baseline; +RaD (hipotures) PR41 changed scalar DAGs, alternating point order and +independent role compiler; RaD balanced routing/bulk interfaces, and all +retained predecessors. +Complete attribution and the conditional proof boundary are recorded in +research/copied-fixed/PROOF.md; imported originals and source pins are retained. +Original Apache-2.0 and CC0 notices remain applicable. + +Community follow-up integration (PRs #49, #45 and #26), 8 October 2026: +Rohan Arun contributes weighted carrier matching and climbed summand/leave-one-out +orders (PRs #44/#47/#49), with Anthropic Claude assistance. The final construction +composes Chafik Boukhalfa's changed-graph checks, exact rational data recovery and +reordered exclusion sums (PRs #43/#46/#48, OpenAI Codex assistance) with RaD / +hipotures's alternating pair order and independent physical role compiler (#41). +All predecessor attribution and conditional proof interfaces remain in force. + +Alejandro Zarzuelo Urdiales contributes Gaussian parity and canonical arithmetic +proofs, finite tensor execution, profile precision accounting and mixed-center +reference checks (#45), with substantial OpenAI Codex assistance. See +research/gaussian-parity-synthesis/PROVENANCE.md for his full attribution. +Ryan S / princezuda contributes historical Lean certificate arithmetic, algebraic +frame/movement/guard lemmas and independent paired-circuit checks (#26). Original +source notices and historical snapshots are preserved. Neither formal package +claims a full formal proof of the multiplication algorithm or a new kappa. + +Joint frame compilation of skip-prefix strips + +The local compiler and exact finite witnesses were prepared by eumemic with +substantial OpenAI Codex assistance. Avi Eisenberg / ikeboy with Anthropic +Claude assistance supplied the unmodified PR #53 skip-prefix producer. +The pinned PR #48 pipeline is Chafik Boukhalfa's contribution, incorporating +Rohan Arun, RaD / hipotures, icekylinx, Dominik Scholz, James Chang, +Zhihao Chen, Aurel Prosz / Paureel, Swapnil Jain, eumemic, Douglas Colkitt, +OpenAI, David Harvey, Joris van der Hoeven and the earlier contributors +credited in the retained sources. See references/frame-compiler/pr48/NOTICE +and references/frame-compiler/pr53/NOTICE for their original attribution. +No authorship or review by those predecessors is claimed for this compiler. + +Joint dual-skip/frame-compiler composition (2026-10-08) +--------------------------------------------------- +Rohan Gupta / gupt1156 with Anthropic Claude assistance: PR55 dual-skip +scalar graph; original LICENSE and NOTICE are retained under +references/frame-compiler/pr55. eumemic with substantial OpenAI Codex +assistance: PR57 joint reversible frame compiler, serialized physical-word +replay and profile reconstruction. Chafik Boukhalfa with OpenAI Codex +assistance: this composition, independent integration and exact certificate. +Avi Eisenberg / ikeboy, Rohan Arun, RaD / hipotures, icekylinx, and all +predecessor authors retain the notices above and in pinned source files. +No original copyright or Apache-2.0 notice is removed. + +Ranked reclamation after the PR58 joint-dual composition (2026-10-08) +---------------------------------------------------------------- +Chafik Boukhalfa with OpenAI Codex assistance: prioritize retired physical +slots by descending current frame rank, retaining slot ID as the tie-breaker; +complete replay, exact profiles, comparison and adversarial controls. +The dedicated joint_dual_reclaim_compiler.py is derived from eumemic's PR57 +compiler. Its original shared compiler remains byte-identical. The PR55 +producer and all preceding attribution remain unchanged. The complete PR58 +comparison certificate and its original source/proof provenance are retained +under references/frame-compiler/pr58. + +Skip-prefix strip producer, 8 October 2026 +By Avi Eisenberg (ikeboy), with Anthropic Claude (Claude Opus 5.5) +assistance. The skip-prefix leave-one-out strip layout in +research/skip-strips/skip_graph.py is new. Everything else reuses Chafik +Boukhalfa's PR #43/#46/#48 research/copied-fixed pipeline, its verification +code, exact data recovery and support-order sorting, together with: +- Rohan Arun's PR #44 weighted carrier matching optimizer; +- RaD (hipotures) PR #41 alternating point order; +- every predecessor credited above. +Complete attribution and the conditional proof boundary are recorded in +research/skip-strips/PROOF.md. Original Apache-2.0 and CC0 notices remain +applicable. + +Local split-pair skip-prefix research continuation (2026-10-08) +Prepared with substantial OpenAI Codex assistance at the user's request. +New contribution: singleton/pair recursive partition refinement, finite summand +order and moment search, and verified composition with inherited paid clones. +Avi Eisenberg/ikeboy with Anthropic Claude assistance: PR53 skip-prefix strips. +Chafik Boukhalfa with OpenAI Codex assistance: PR54 original-envelope clone +specialization and PR43/46/48 checking interfaces. RaD/hipotures: PR51 +whole-chain/source-partition cloning and earlier producer/interfaces. +Rohan Arun: PR44 weighted matching and earlier fixed/reversed work, with all +stated historical AI assistance. All predecessor notices remain applicable. + +Original-envelope whole-chain clones on skip-prefix strips (research/skip-clones): +Chafik Boukhalfa, prepared with OpenAI Codex assistance. The complete-chain +source-partition clone operation is adapted from RaD / hipotures, PR #51, +with original envelopes retained here. The scalar base is Avi Eisenberg's +PR #53 skip-prefix layout, prepared with Anthropic Claude assistance. +All credited PR #43/#46/#48, PR #44 and earlier code/proof notices remain +in force. This extension is provided under the repository's Apache-2.0 terms. + +Community review checkpoint #50–#61, 8 October 2026 +Maintainer integration and independent arithmetic: Douglas Colkitt, with OpenAI Codex. +Avi Eisenberg / ikeboy: skip-prefix strip framework (#53), with Anthropic Claude. +Rohan Gupta / gupt1156: parallel order search (#50, stated Antigravity assistance) +and dual-suffix strips (#55, Anthropic Claude assistance). +Eumemic: equal-frame joint compilation and paid signal reclamation (#57), with Codex. +Chafik Boukhalfa: original-envelope paid clones (#54), composition (#58) and ranked +reclamation (#60), with Codex. Rohan Arun: order search (#52) and positive-frame +composition (#56), with Anthropic Claude and stated Codex validation assistance. +RaD / hipotures: enlarged frames, source partitions and paid whole-chain clones +(#51), with Codex. Rohan Garg / rohangar1: singleton/pair recursion and paid-clone +composition (#59), with Codex. Alejandro Zarzuelo Urdiales: exact parameter +refinement, scoped Lean arithmetic, matrix/parity and search tools (#61), with +his disclosed multi-tool and Codex assistance. +Parallel #50/#52 records are reviewed and credited without replacing the earlier +climbed-48 implementation; their exact commit history is retained. The separate +#51 witness is retained as research; its source-graph/negative-basis data proof +has not received the same full replay as #56's consumed compiler machinery. +See docs/research/community-round2-review.md for precise validation boundaries. +All earlier licenses, contributions and notices remain applicable. + +Interval strips and core-aware pair assembly + +The interval leave-one-out strips and the core-aware group-pair assembly in +research/pair-assembly were prepared by Avi Eisenberg / ikeboy with Anthropic +Claude assistance. They build on PR #53's skip-prefix pipeline and its +inherited PR #48 sources. The stacked witness in research/pair-assembly/frame +uses eumemic's PR #57 joint frame compiler unchanged; its driver and verifier +are adaptations of PR #57's skip_frame_compiler.py, skip_frame_compose.py and +verify_skip_frame.py. Original notices are retained. + +Stopped product-ring extension, 9 October 2026 +Copyright 2026 icekylinx + +The opposite-bank generic projector factorization, componentwise atom-ring +adapters, stopped recurrence and outer ordinary-interchange conversion, +aligned pair-star producer with rational centers, exact denominator-21 +grid and selected (23,23)/(24,24) composition are contributed by icekylinx +with substantial OpenAI GPT-6 Astra and Codex assistance. This extension +builds on merged PR #36, 11817ccacb564bb7f98789c20dc11d3fece207e3, and is +integrated on upstream main 56b66d58297deca1d7dd130247d720e960f77a37. + +The retained ordinary leaf uses the preceding projector, corner and +copied-center proofs. The selected two-stage topology retains Aurel Prosz +(Paureel), Swapnil Jain and Zhihao Chen's credits; the semantic assembly +retains PR #21/#23 and RaD's attribution. Paired producers, carrier matching, +original source notices and each imported license remain unchanged. + +Partial-gauge extension, 9 October 2026 +Copyright 2026 icekylinx + +The pair-first cube assembly, compatible backward frame enlargement, +partial source-gauge schedule and stopped whole-projector composition are +contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance, extending PR #104 at 948ce1510df750f4c18b96bdaef436a86f8bf834. + +The physical deferred bit word, reflected event accounting, fan-order +clarification and signed two-stage endpoint are adopted from Zhihao Chen +(jacklightChen), PR #97, e15350b66e4bf796153a68c240a6cc1b788abe3e, with +Codex assistance. Its deferred readouts, V leaves, lifted frames and frozen +witness originate in Swapnil Jain's 741e7aa078392553815df7926ee17ac5e25a8c38, +with the original Claude disclosure retained. Cyclic interval and core-aware +pair primitives build on Avi Eisenberg (ikeboy), PR #62, +ad0f25ff7b23cff7f08ad237c2254e6ecf74257e, with Anthropic Claude assistance. +Prior two-stage, copied-center, ordinary-leaf, semantic/bulk, routing and +precision credits remain in force. Imported source notices and licenses +are preserved under references/partial-gauge/; see SOURCES.json. + +Three-stage cover extension, 9 October 2026 +Copyright 2026 icekylinx + +The arbitrary-subspace Clifford frame theorem, three-stage Cayley geometry, +weighted q-adic GL cover, unit-lower weighted compiler, charged local-ring +fallback, uniform batching, internal row borrowing and exact composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. This +repository integration uses Codex assistance and extends +PR #115, cf60442983c153a3a0f5272ea4713f99eba13c86. + +The selected local complex DAG and support/label replay are adopted from +Copyright 2026 eumemic, PR #117, cbb05ce504d571546d9b7794c186a613c659c3bf, +with its original Apache-2.0 terms and Claude assistance disclosure. +The unchanged bit physical word retains Zhihao Chen (jacklightChen), +PR #97, and Swapnil Jain's underlying witness and assistance notices. +The prior opposite-bank, stopped ordinary-leaf, copied-center, topology, +semantic/bulk, precision and analytic credits remain applicable. +Original source notices and license bytes are preserved in +references/three-stage-cover/pr117/ and references/partial-gauge/. + +Paired-cube and shared-core extension, 9 October 2026 +Copyright 2026 icekylinx + +The paired-coordinate triple-cube identity, signed overlap channels, +original-source involution, coordinate-star centers, concrete frame/carrier +compiler, chronological source gauges, PR97 gauge-subset selection, +orthogonal cross-stage routing and exact supplier/assembly integration +are contributed by icekylinx with substantial OpenAI GPT-6 Astra assistance. +Repository integration uses Codex assistance and extends PR #130 at +6a9970a530119174507904e23592fd59ede19a5d. + +The substantial completed-core workspace-sharing principle is credited to +an664, PR #128, 530588a019b4a74f09180680c9e3961bf649ec89, with its reported +OpenAI Codex assistance. No source code, partition or serialized witness +from that PR is imported. The new routing and paired-motif integration +are described separately and claim no exclusive priority for broad sharing, +paired-coordinate, Fourier or carrier-matching ideas. + +Selected coarse queries restrict the retained eumemic PR #117 positive DAG; +its original Apache-2.0 and Claude assistance notices remain unchanged. +The bit word and original frames retain Zhihao Chen's PR #97 and Swapnil +Jain's frozen witness, notices and historical assistance disclosures. +Earlier generalized Clifford, three-stage, uniform weighted recursion, +ordinary-leaf, semantic/bulk, precision and analytic credits remain in force. +Source-specific license bytes are preserved under references/. + +October 9 recycled-bit integration: +DaysSky (#150), William Porter/hpst3r (#147), Thomas Marchand/Th0rgal (#146), +Rohan Gupta/gupt1156 (#148), James Chang/jamesyc (#124), SovereignSteak (#122). +The original notices and assistance disclosures are retained under research/, +including research/recycled-bit-integration/NOTICE. Andrew Barnes/Bortlesboat +(#101) repairs shared verifiers using rfu08's #64 counterexample. rfu08's +scoped finite and formal-transfer packages are included separately; they do +not establish the full multiplication theorem. Earlier and parallel credits +remain applicable. Douglas Colkitt integrated these with OpenAI Codex assistance. + +SovereignSteak PR151 independently supplies the matching gauge/recycling +composition and the selected 473/10^6 atom refinement; its original package +and assistance disclosure are retained under research/gauge-recycling/. + +October 9 coordinated-frame and completed-entrance-bank integration: +Dugongue PR186, 166a34d75e853e933855f0f7e940fe77c4bb6b8d, builds on +Chafik Boukhalfa/chafreaky's PR181, 7fb2194801e3a10f54772c7f0d5505035a4fc0ad, +and eumemic's PR168 v4, 4a3c769e5c5430e7114c4d3e099ff34664677f17. +The frozen package and prerequisite archive preserve all author, source-license +and assistance notices, including PR175's compiler optimization. DaysSky's +carrier closure, James Chang's terminal substitution and balanced assembly, +geckods' stopping refinements and all preceding framework credits remain. +Rohan Arun's PR185 bootstrap and chafreaky's PR182 bit refinement are reviewed +parallel contributions; their gains are not added to the selected witness. +Douglas Colkitt integrated the package and supplied the bank scheduling +supplement with OpenAI Codex assistance, under Apache-2.0. The all-size +interfaces remain conditional; finite verification is not full formalization. diff --git a/research/frozen5383-scoped-ceilings/README.md b/research/frozen5383-scoped-ceilings/README.md new file mode 100644 index 0000000000..47653e4d68 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/README.md @@ -0,0 +1,44 @@ +# Two scoped stop certificates for frozen PR5383 + +Two complementary investigations of Ali Romman's [PR5383](https://github.com/CrocSwap/integer-mult-bounds/pull/5383), exact head `4bd6efa51a495a7c7b7754915cf0244e7e60969e`, close their declared fixed domains. Canonical comparison base is `1ec1119972c9aefe42525172d07b332fcff81cb4`. Neither result supplies a construction, a funded compiler point or a κ improvement. The selected record is unchanged. + +1. **Fixed controller mode screen.** Exhaust all 562 allocations obtained by changing at most two of the existing 33 FULL/QUERY stage modes, keeping scalar boundary matrices, bridges, signed exchanges, orientations and retained idle incidence frozen. Every allocation has the required exact Laurent diagonal endpoint. All 561 changed allocations fail the favorable necessary moment at each of `.00302235`, `.00302666` and `.003026674765`: 1,683 negative rational sign certificates. The baseline uniquely maximizes that moment at those three targets. The best changed allocation replaces stage 32 FULL with QUERY and has 60,962 paid jobs, 10,392 productive targets and surplus 704. Its favorable moment at `.00302235` is below `-1.3219933718776856`. This is a finite three-target result, with zero additional nonrecursive penalty granted to every variant. It establishes no continuous-saving-domain or universal controller ceiling. +2. **Frozen backward zero census.** Every one of the 3,282 remaining positive local backward paid-input rows has a retained independent boundary entry whose complete coefficient is one nonzero rational times an invertible native word. Consequently every row is nonzero at every positive tensor width under the frozen 624-independent plus 17 arbitrary owned entry boundary. The eight published zero-retags are separately checked and excluded from additional savings. New paid deletions and all whole-invoice deltas are zero. This does not establish lower algorithmic rank, a global obstruction or a changed-preparation impossibility. + +The [rowwise surjectivity corollary](ROW-SURJECTIVITY.md) follows immediately from the second certificate. For each paid row separately, choose the retained boundary entry `(qU)^-1 v` and all other independent boundary entries zero, then run the unchanged pivot preparation. That row reaches every logical payload v. No proper linear single-field reachable-subspace restriction can cheapen the unchanged action under this boundary. A cheaper full-space algorithm, joint use of side information, changed relations and changed boundary remain open. No simultaneous reachability claim is made. + +## Source scope and evidence + +[RESULT.json](RESULT.json) keeps both claims separate. The original [controller derivation](evidence/campaign/06-controller-modes/DERIVATION.md), full 562-entry table, directed rational sign certificate, report and scripts are frozen unchanged. The [zero census report](evidence/campaign/07-frozen-zero/REPORT.md), complete emitted row trace, authoritative `RESULT-v2.json`, singleton checker and chronological engine are also unchanged. Its earlier cautious nonzero-only wording is refined only by the separate immediate corollary; no frozen report is rewritten. + +All 36 source rows of immutable capsule-v1 are retained with exact original paths, SHA256 and Git blob IDs. Its manifest hash is `ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8`. Raw Git commit/tree objects bind these copied bytes to the exact declared source commits without needing a side-branch object cache or Git at replay time. The public source head is a retained source identity, not a claim that it was a canonical-main ancestor. Canonical selected record and task catalogue are historical provenance in SOURCES.json. The independent complete invoice is consumed by hash; these two small engines do not freshly rederive the full supplier invoice or admit PR5383/PR5387. + +The [frozen domain](evidence/campaign/06-controller-modes/MODE-DOMAIN.json) fixes native words, all 33 stage positions and orientations, idle mask `35047648968703`, both boundaries and scalar programs. Mode changes remove/add the stage factor everywhere in the original retained idle skeleton. Source-formal endpoint validity is a necessary-model test; no altered physical template is promoted. The zero claim fixes all eight relations, pivots, preparation, snapshots, helpers, chronological events and operators. It is local backward coverage only. The later PR5387 changed witness is not substituted. Ali Romman's active forward-transpose scope is preserved. Root's [canonical publication claim](https://github.com/CrocSwap/integer-mult-bounds/pull/5387#issuecomment-6374985927) coordinates the three support packages; these completed findings require no additional construction claim. The overlap-clearance artifact is frozen historical evidence, not a guarantee about unpublished work. + +## Reproduction + +Python 3.12 standard library only, no network or Git for direct replay. From a repository checkout: + +```sh +python3 -B scripts/research_package.py --package research/frozen5383-scoped-ceilings --check-only +python3 -B scripts/research_package.py --package research/frozen5383-scoped-ceilings +``` + +From a checked source export: + +```sh +python3 -I -B research/frozen5383-scoped-ceilings/verify.py +python3 -I -O -B research/frozen5383-scoped-ceilings/verify.py +``` + +Each command takes approximately 20 seconds. The wrapper verifies complete frozen inventories and raw source bindings, copies evidence to a private temporary directory, recomputes the full controller table and rational certificates, chronologically rederives all paid rows, compares their complete decompressed trace, and checks each singleton native-invertibility certificate. No producer evidence is overwritten. The original engines use assertions and deliberately run without optimization in both registered wrapper modes; the wrapper itself uses explicit fail-closed checks under either mode. Source-byte tampering, oriented-query mutation, preparation-sign corruption and a forged singleton coefficient reject. Regenerated gzip containers are compared through the full decompressed payload; all stable proof-relevant receipt fields agree. `--integrity-only` runs the source/inventory checks without mathematical replay. + +The checked-in capsule authenticates complete original source evidence; only the two small independent engines are freshly run. No native relation engine, full author cold replay, compiler, solver, heavy suite, emission or Lean job is run. Registered success is scoped replay evidence and does not admit a multiplication theorem or selected frontier. + +## Open next questions + +[TASK.json](TASK.json) records relevance, first steps and blockers. A controller investigation must name a changed retained-idle or scalar-boundary premise and first derive its fresh endpoint and complete invoice. A further native investigation must specify a changed action or joint interface before claiming any paid deletion. These are handoffs; no new construction search was performed here. The exact two frozen routes should stop. + +## Credit + +Prepared by **Chris R / Clear1nsight, with substantial OpenAI Codex assistance**. Ali Romman owns PR5383/PR5377 and the eight-relation mechanism. Cao Yifan's final PR4610 source word, Cinna Davis's controller/helper lineage, zxv's cache/native/compiler/precision machinery, Jacob Alan Sussman's mixed-target recursion, Chris R / Clear1nsight's PR5241/PR5384 independent admission, Cinna Davis and ToikY's termwise tensor argument, and all retained source notices keep their attribution. Dugongue's distinct PR5387 implementation/compiler refinement is not imported into these frozen claims. The replay packaging follows retained independent source/Merkle-check patterns. Apache-2.0; LICENSE and NOTICE are retained. This package claims neither construction authorship, independent human acceptance nor formal-kernel verification. diff --git a/research/frozen5383-scoped-ceilings/RESULT.json b/research/frozen5383-scoped-ceilings/RESULT.json new file mode 100644 index 0000000000..3617719bef --- /dev/null +++ b/research/frozen5383-scoped-ceilings/RESULT.json @@ -0,0 +1,34 @@ +{ + "schema_version": 1, + "status": "TWO_DISTINCT_SCOPED_STOP_CERTIFICATES", + "source_head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "controller": { + "allocations": 562, + "changed_allocations": 561, + "negative_changed_target_cases": 1683, + "targets": [ + ".00302235", + ".00302666", + ".003026674765" + ], + "scope": "At most two of33FULL/QUERY stage modes with exact frozen scalar boundaries, bridges, exchanges and idle incidence; no continuous-saving-domain or universal controller ceiling." + }, + "zero_census": { + "positive_paid_rows": 3282, + "retained_independent_boundary_fields": 624, + "arbitrary_owned_boundary_fields": 17, + "existing_zero_retags_excluded": 8, + "new_paid_deletions": 0, + "all_positive_tensor_widths": true, + "scope": "Frozen backward local word, pivots, relations, preparation and native operators only. Every complete row contains a retained entry whose entire coefficient is qU with nonzero rationalq and invertible native wordU." + }, + "surjectivity_corollary": "Each individual paid-row map is surjective on its logical field payload at every positive tensor width. This excludes restriction to a proper linear single-field reachable subspace for the unchanged action, and establishes no Gaussian-rank minimality, joint-side-information bound or global obstruction.", + "new_kappa": null, + "whole_invoice_delta": { + "paid": 0, + "productive": 0, + "ordinary": 0, + "owned_slots": 0 + }, + "selected_record_changed": false +} diff --git a/research/frozen5383-scoped-ceilings/ROW-SURJECTIVITY.md b/research/frozen5383-scoped-ceilings/ROW-SURJECTIVITY.md new file mode 100644 index 0000000000..35af295f88 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/ROW-SURJECTIVITY.md @@ -0,0 +1,15 @@ +# Immediate rowwise surjectivity corollary + +This corollary concerns Ali Romman's frozen #5383 head `4bd6efa51a495a7c7b7754915cf0244e7e60969e`, at each of the 3,282 positive paid-input events separately. It follows from the complete single-monomial certificates already replayed here; it is not another construction search. + +Fix a positive tensor width and let V be the logical payload space of one field. The complete chronologically derived input row is a linear map F from the 624 retained independent boundary fields and 17 arbitrary owned boundary fields to V. For this row, one retained input x has entire coefficient qU, where q is a nonzero rational and U is a product of invertible native operators (with tensor powers substituted termwise). All other row terms involve other independent entry fields. Thus F(x,z) = qU x + G(z). + +The eight pivot fields are owned storage. The literal preparation first clears each pivot and fills it using retained entries; it imposes no relation among the 624 retained entries. Their arbitrary values are the independent coordinates used by the census, before preparation. Choosing one retained entry can therefore induce several nonzero prepared pivot fields, exactly as the chronological row calculation already records. One must not set these internally prepared pivot values independently after preparation. + +Given any v in V, choose the selected retained boundary input x = (qU)^(-1)v, set every other retained boundary entry to zero and every arbitrary owned entry value to zero, and run the unchanged preparation. The exact paid input at this event is F(x,0)=v. Therefore this individual row map is surjective onto V. The corresponding source frame/chart is invertible, so the same full-dimensional conclusion holds for its physical representation. If an external contract bounds magnitudes, homogeneous scaling gives a nonzero neighborhood in every direction and the reachable linear span remains V; no claim about surjectivity onto an unbounded set from a bounded input box is needed. + +Consequently, restricting the unchanged paid action to a proper linear subspace of this single field cannot justify a cheaper implementation under the frozen boundary. This is stronger than mere nonzero input. It does not prove that the supplied Gaussian-rank algorithm is minimal, does not exclude a cheaper full-space algorithm, and does not exclude joint algorithms exploiting other simultaneous fields or side information. The witness choice is made separately for each event; no simultaneous independent reachability of all event inputs is asserted. + +The existing zero-retags remain excluded. Changed preparation, relations, pivots, boundary constraints, native action, word or direction require new coverage. In particular, this corollary does not extend the finite three-target controller screen to a continuous or universal ceiling and adds no κ gain. + +Prepared by Chris R / Clear1nsight with substantial OpenAI Codex assistance, preserving Ali Romman's construction and all frozen census, native and termwise-tensor predecessor credit. diff --git a/research/frozen5383-scoped-ceilings/SOURCE-GUARDS.json b/research/frozen5383-scoped-ceilings/SOURCE-GUARDS.json new file mode 100644 index 0000000000..1c38423b66 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/SOURCE-GUARDS.json @@ -0,0 +1,220 @@ +{ + "rows": [ + { + "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4", + "path": "certificates/selected-result.json", + "git_blob": "b288ae44032fd84dd5564243422836cbcd29835e", + "local": "evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/certificates/selected-result.json" + }, + { + "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4", + "path": 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"research/r437-two-window-carrier/README.md" + ], + "methods": [ + "Independently reconstruct one changed paid ledger or pooled dual with exact source and model binding.", + "Check a genuinely uncovered moment implication with a different enclosure method and semantic controls." + ], + "acceptance_gate": "Demonstrate independence, source binding, positive cases and semantic failure controls. Name the existing checks and the missing coverage. More digits or another equivalent evaluation of an unchanged root is not by itself new verification coverage.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Choose one uncovered implication in #4088 literal mixed fill, #4091 pooled dual/model binding or #4067 changed frame/host bill. #4091 pins an earlier #4088 head: validate word, capacity and stock equivalence before applying that ceiling to the later fill.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Independently reconstruct one changed ledger or pooled certificate with a positive case and a semantic failure control. Compare exact sources and name what existing checks miss. Keep this separate from supplier-boundary-audit (ordinary/outer dispatch) and uniform-transfer-audit (all-size proof). Stop after the chosen implication; more digits of an unchanged root are not additional mechanism coverage.", + "bottleneck_link": "Independent pricing prevents unsupported frontier claims and can reveal genuine accounting slack.", + "allowed_variations": [ + "Reconstruct either a source ledger or a numeric enclosure with a different method." + ], + "scope_change_triggers": [ + "Importing the primary function and calling its output independent verification.", + "Calling an aggregate histogram or source archive an independently accepted physical supplier." + ], + "overlap_terms": [ + "independent moment", + "rank histogram", + "exact enclosure", + "2979", + "rank7 joint endframes", + "paired extraction", + "joint lowering", + "4088", + "4091", + "4067", + "staged544-mixed-fourth-entry", + "staged-fourth-mixture-ceiling", + "r437-two-window-carrier" + ], + "existing_checks": [ + { + "scope": "PR #4088: mixed local/owner/phase ledger and moment reported.", + "evidence": "research/staged544-mixed-fourth-entry/README.md", + "remaining": "Independent binding of changed construction to paid histogram, distinct from full admission.", + "status": "author-checked", + "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4091: sharp pooled ceiling proposed for fixed THREE/FOUR words and inventory.", + "evidence": "research/staged-fourth-mixture-ceiling/README.md", + "remaining": "Validate dual, exhaustive pattern scope and exact source equivalence before applying to newer fills.", + "status": "author-checked", + "source_commit": "a29bdd8f56cd18b805917775cdec09ff935eddc4", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4067: paid (2,2) to (1,3) exchange and fixed OQ4 host reported.", + "evidence": "research/r437-two-window-carrier/README.md", + "remaining": "Independent full cost delta; remaining caller/precision/stock obligations are separate.", + "status": "author-checked", + "source_commit": "a95f11c52e3ca1e4c5171b3c20d8f4b0815aee2e", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + "scope_status": "changed", + "actual_scope": "Package two independently derived frozen PR5383 stop certificates: 562 exact fixed-boundary FULL/QUERY allocations screened at three stated targets, and all 3282 remaining local backward paid rows proved nonzero at every positive tensor width. Add the immediate rowwise surjectivity corollary only.", + "scope_change_reason": "Explicit donor assignment selects the completed bounded negative findings, rather than a new paid profile or full supplier admission. Preserve the two narrow claims separately.", + "bottleneck_link": "Avoids repeating two closed fixed-domain routes while identifying the premise that would have to change.", + "budget_minutes": 60, + "stop_rule": "No new construction/physical search, native execution, heavy replay, Lean, root optimization, forward transpose, or selected-record change. Replay the two small frozen engines only.", + "outcome": "completed", + "evidence": "README.md; RESULT.json; ROW-SURJECTIVITY.md; evidence/campaign/06-controller-modes/; evidence/campaign/07-frozen-zero/; SOURCE-GUARDS.json; verify.py", + "author": "Chris R / Clear1nsight, with substantial OpenAI Codex assistance", + "ai_assistance": "Substantial OpenAI Codex assistance for the independent bounded screens, source bindings, proof exposition and packaging. No formal-kernel or independent human verification is claimed.", + "open_questions": [ + { + "question": "Can a coupled retained-idle-mask and scalar-boundary change pass a freshly derived Laurent endpoint and complete invoice?", + "why_it_matters": "The 562-allocation screen fixes both boundaries and the retained-idle incidence. Its failure does not cover a changed controller model.", + "first_step": "Declare one new boundary/idle premise and derive the exact endpoint and complete charged profile before physical synthesis.", + "blocked_by": "A changed-premise witness and full physical/ownership/precision/stock/compiler funding obligations are absent; Ali Romman retains the active forward-transpose scope." + }, + { + "question": "Can a joint algorithm use side information or a changed native action while preserving the full frozen supplier boundary?", + "why_it_matters": "Rowwise surjectivity removes a proper single-field reachable-subspace shortcut, but gives no joint algorithmic or Gaussian-rank lower bound.", + "first_step": "Specify the joint interface and exact changed action, including all retained input correlations, costs and output obligations.", + "blocked_by": "No joint algorithm or changed action is supplied; this package performs no new construction search." + } + ], + "coordination_claim": "https://github.com/CrocSwap/integer-mult-bounds/pull/5387#issuecomment-6374985927" +} diff --git a/research/frozen5383-scoped-ceilings/VERIFY.json b/research/frozen5383-scoped-ceilings/VERIFY.json new file mode 100644 index 0000000000..1a7a59f4e5 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/VERIFY.json @@ -0,0 +1,34 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-W", + "error", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 60, + "checks": "Offline raw-source/Merkle binding, unchanged 562-allocation Laurent/invoice and three-target rational replay, complete chronological3282-row census and singleton/invertibility certificates. Semantic source, orientation, preparation and certificate controls. No supplier or kappa admission." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-W", + "error", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 60, + "checks": "Same wrapper checks with wrapper assertions disabled; original assertion-based frozen child engines deliberately run with optimization disabled in both registered modes. No claim that frozen engines were optimized." + } + ] +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/INVOICE-v1.json b/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/INVOICE-v1.json new file mode 100644 index 0000000000..041e66e326 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/INVOICE-v1.json @@ -0,0 +1,384 @@ +{ + "baseline_delta": { + "paid": { + "1": -128, + "8": -128 + }, + "productive": { + "9": -128 + } + }, + "candidate": { + "base": "1ec1119972c9aefe42525172d07b332fcff81cb4", + "head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "module": "research/kappa-joint-relations-20261023", + "pr": 5383 + }, + "capsule_manifest_sha256": "ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8", + "census_status": "LITERAL_RANK_AND_SCALAR_CENSUS_READY", + "chronology_sha256": "5fb7a2baa43e502b720638513e19f40649e454b0528f18e68e197ae15889cd22", + "complete_bill_status": "PENDING_PHYSICAL_AND_EXPANDED_TEMPLATE_APPLICABILITY", + "controller": { + "boundaries": { + "left": { + "all_records_dominated_by_32_units_per_port": true, + "event_count": 90, + "explicit_scalar_units": 138432, + "opcodes": { + "ADD": 56, + "SCALE": 4, + "SWAP": 30 + } + }, + "right": { + "all_records_dominated_by_32_units_per_port": true, + "event_count": 55, + "explicit_scalar_units": 101696, + "opcodes": { + "ADD": 25, + "SCALE": 3, + "SWAP": 27 + } + } + }, + "counts": { + "ADD": 90, + "FULL_backward": 16, + "FULL_forward": 2, + "IDLE": 15, + "LOCAL": 18, + "QUERY_SHEAR": 15, + "SIGNED_SWAP": 16 + }, + "idle_paid": { + "16": 448, + "24": 448, + "32": 448, + "40": 448, + "48": 448, + "56": 448, + "64": 448, + "72": 224 + }, + "main_targets": { + "145": 224, + "17": 448, + "25": 448, + "33": 448, + "41": 448, + "49": 448, + "57": 448, + "65": 448, + "73": 224 + } + }, + "credit": "Ali Romman construction; Cao Yifan #4610 word; Cinna Davis controller/helper lineage; zxv native/precision/compiler; Jacob Alan Sussman recursion; retained source notices. Independent census prepared with substantial OpenAI assistance.", + "histograms": { + "paid": { + "1": 41170, + "16": 448, + "2": 7416, + "24": 448, + "3": 9180, + "32": 448, + "4": 2286, + "40": 448, + "48": 448, + "5": 720, + "56": 448, + "64": 448, + "72": 224, + "8": 16 + }, + "productive": { + "145": 224, + "17": 448, + "25": 448, + "33": 448, + "4": 504, + "41": 448, + "49": 448, + "57": 448, + "65": 448, + "7": 126, + "73": 224, + "8": 846, + "9": 5740 + } + }, + "input_hashes": { + "research/joint-helper-lattice/CONTROLLER.json": { + "payload_sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f", + "sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f" + }, + "research/kappa-joint-relations-20261023/WORD.json.gz": { + "payload_sha256": "2aee5e997df99726fc763e510d9cb69fbe4f86114dc8d2cd33ad26c6c462a21d", + "sha256": "7883ba0faefc96505bb61ca7312d588fa22dfe2164050c817c1718b8fa28693a" + }, + "research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz": { + "payload_sha256": "cfcd36b40326d7a5815e1db5313444379b3fb756b27d5201c561574c085cc0dd", + "sha256": "7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05" + } + }, + "local_baseline_comparison": { + "backward": { + "scalar_opcode_deltas": { + "add": 54, + "clear": 40, + "copy": 16, + "scale": 0 + }, + "scalar_unit_delta": 576, + "source_event_count": 21449, + "source_scalar_units": 158168 + }, + "forward": { + "scalar_opcode_deltas": { + "add": 0, + "clear": 0, + "copy": 0, + "scale": 0 + }, + "scalar_unit_delta": 0, + "source_event_count": 21449, + "source_scalar_units": 158120 + } + }, + "locals": { + "backward": { + "event_count": 21551, + "event_kinds": { + "adapter": 448, + "climb": 3282, + "phase": 10, + "scalar": 17563, + "warp": 240, + "zero_retag": 8 + }, + "helpers": { + "4": 28, + "7": 7, + "8": 47, + "9": 318 + }, + "independent_persistent_roles": 624, + "main_chart_groups": 448, + "owned_roles": [ + [ + "C", + 0 + ], + [ + "C", + 1 + ], + [ + "C", + 2 + ], + [ + "C", + 3 + ], + [ + "C", + 4 + ], + [ + "C", + 5 + ], + [ + "C", + 6 + ], + [ + "C", + 7 + ], + [ + "C", + 8 + ], + [ + "L", + 225 + ], + [ + "L", + 227 + ], + [ + "L", + 229 + ], + [ + "L", + 230 + ], + [ + "L", + 241 + ], + [ + "L", + 245 + ], + [ + "L", + 257 + ], + [ + "L", + 288 + ] + ], + "paid": { + "1": 2193, + "2": 412, + "3": 510, + "4": 127, + "5": 40 + }, + "scalar_coefficients": { + "-1": 4479, + "-1/2": 2456, + "-1/4": 1613, + "-1/8": 37, + "-2": 489, + "-3/2": 10, + "-3/4": 15, + "-3/8": 12, + "-4": 14, + "-5/8": 9, + "-7/4": 1, + "-7/8": 1, + "-8": 1, + "1": 3640, + "1/2": 2621, + "1/4": 1569, + "1/8": 41, + "2": 440, + "3/2": 10, + "3/4": 5, + "3/8": 10, + "4": 12, + "5/8": 3, + "7/4": 1, + "7/8": 1, + "8": 1 + }, + "scalar_opcodes": { + "add": 16327, + "clear": 56, + "copy": 16, + "scale": 1164 + }, + "scalar_units": 158744, + "warp_groups": 240 + }, + "forward": { + "event_count": 21449, + "event_kinds": { + "adapter": 448, + "center": 8, + "climb": 3290, + "phase": 10, + "scalar": 17453, + "warp": 240 + }, + "helpers": { + "4": 28, + "7": 7, + "8": 47, + "9": 326 + }, + "independent_persistent_roles": 632, + "main_chart_groups": 448, + "owned_roles": [ + [ + "C", + 0 + ] + ], + "paid": { + "1": 2201, + "2": 412, + "3": 510, + "4": 127, + "5": 40, + "8": 8 + }, + "scalar_coefficients": { + "-1": 4213, + "-1/2": 2714, + "-1/4": 1483, + "-1/8": 41, + "-2": 541, + "-3/2": 10, + "-3/4": 5, + "-3/8": 10, + "-4": 14, + "-5/8": 3, + "-7/4": 1, + "-7/8": 1, + "-8": 1, + "1": 3860, + "1/2": 2347, + "1/4": 1699, + "1/8": 37, + "2": 388, + "3/2": 10, + "3/4": 15, + "3/8": 12, + "4": 12, + "5/8": 9, + "7/4": 1, + "7/8": 1, + "8": 1 + }, + "scalar_opcodes": { + "add": 16265, + "clear": 16, + "copy": 8, + "scale": 1164 + }, + "scalar_units": 158120, + "warp_groups": 240 + } + }, + "method": "Literal JSON parsing only; no imports/evaluation of author RESULT, verifier or price engine. Coefficients evaluated as Fraction. Rank count from literal frame dimension and full controller occurrences.", + "not_established": [ + "all-column physical identities (role 01)", + "expanded precision, stock and tape closure (role 03)", + "complete numerical funding (role 04)", + "actual tape runtime or full compiler materialization" + ], + "ordinary": { + "classification": "constructively_upper_bounded", + "local_units_upper": 4992744, + "raw_global_budget": 1000000000, + "raw_nonrecursive_units_upper": 181098496, + "route_formula": { + "main_chart_groups": 448, + "max_paid": 3298, + "two_times_additional_owned_lifetimes": 32, + "two_times_max_helpers": 816, + "warp_groups": 240 + }, + "route_group_reservation": 4834, + "route_unit_multiplier": 1000, + "route_units_upper": 4834000, + "scalar_units_local_max": 158744, + "unit": "retained elementary scalar/movement/phase record; asymptotic physical primitive implementation domain remains conditional", + "unknown_charges_are_zero": false + }, + "schema": "independent-literal-invoice/1", + "totals": { + "paid_jobs": 64148, + "paid_rank_mass": 237982, + "productive_fields": 10800, + "productive_rank_mass": 238734, + "rank_surplus": 752 + } +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/REPORT.md b/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/REPORT.md new file mode 100644 index 0000000000..698721a8e4 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/02-census/REPORT.md @@ -0,0 +1,41 @@ +# Independent invoice census: frozen #5383 + +Research discussion / PR / artifact: Ali Romman's [#5383](https://github.com/CrocSwap/integer-mult-bounds/pull/5383); local `INVOICE-v1.json`, `CHRONOLOGY-v1.json`, `CANDIDATE-CONTRACT-v1.json`, `RECEIPT-v1.json`. No external write was made. + +Exact commit: `4bd6efa51a495a7c7b7754915cf0244e7e60969e`, canonical base `1ec1119972c9aefe42525172d07b332fcff81cb4`. Capsule manifest `ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8`; word compressed `7883ba0faefc96505bb61ca7312d588fa22dfe2164050c817c1718b8fa28693a`, decompressed `2aee5e997df99726fc763e510d9cb69fbe4f86114dc8d2cd33ad26c6c462a21d`. + +What is established: An independent standard-library JSON interpreter, importing no candidate modules or author price/check engine, counts every literal scalar/paid event, every helper endpoint, all controller full/query/idle occurrences, main targets and both boundary programs. The complete bill has 64,148 paid jobs and 10,800 productive fields, paid rank mass 237,982, productive rank mass 238,734, surplus 752. The literal comparison with frozen #4610 gives exactly `-128 H1 -128 H8` paid and `-128 H9` productive. The controller has sixteen backward full calls, two forward full calls, fifteen queries and fifteen whole-idle jobs. Main targets total 3,584 fields; helpers total 7,216. Snapshot streams and surrendered pivots receive zero productive credit. + +The backward word has 21,551 events: 17,563 scalar records, 3,282 paid climbs, eight zero retags, 240 warps, 448 adapters and ten phase markers. It has no remaining center call. Scalar records comprise 16,327 ADD, 1,164 SCALE, 56 CLEAR and sixteen COPY. Exact dyadic elementary scalar allowance is 158,744 versus the source backward allowance 158,168, an increase of 576; forward remains 158,120. The charge uses two units for COPY/CLEAR, `2*(abs(log2(abs(q)))+1[q<0])` for power-of-two SCALE, and `2*(3+floor(log2(abs(n)))+popcount(abs(n))+log2(d))` for ADD coefficient `n/d` in lowest terms. + +A conservative common route reservation is `(3298 + 2*408 + 240 + 448 + 2*16)*1000 = 4,834,000` retained elementary movement/phase units. It keeps the larger forward paid/helper budget and charges both routes for all sixteen added owned lifetimes: eight additional physical snapshot slots and eight reclassified existing helper slots. The resulting local upper bill is 4,992,744 < 10^7. This is a constructive reservation, not an actual physical instruction count. The raw complete upper bound is `18*10^7 + 15*112*16 + 32*112*(154+90+55) = 181,098,496 < 10^9`. + +All 57 ordinary boundary SWAPs are conservatively lowered as three signed ADDs plus one negation (26 units per port); the seven separate boundary negations are charged as SCALE. Ninety controller ADDs and sixteen signed swaps are included in the full event allowance. Each boundary record is independently dominated by the retained 32 units per port. No raw scalar cost is inserted into a rank moment. Fixed template/physical implementation applicability is a separate proof obligation, and unknown charges are never set to zero. + +The independently derived invoice was then compared with the author's README claims: paid/target counts and rank masses, profile delta, scalar allowance, route reservation and raw bound all agree. No discrepancy or candidate repair was found. `INVOICE-v1.json` SHA256 is `7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e`; contract SHA256 is `713be46d29cd2d33bf4cf7b1512f06f014a7d70fdc47d15b89c72fbb6948cbb8`. + +What remains uncertain: The v1 record intentionally has pending whole-bill status. Physical identities and owned return belong to role 01; expanded precision, stocks and common primitive tariff applicability belong to role 03; exact funding/compiler/outer admission belongs to role 04. A source-bound literal census cannot alone establish those. No full cold run, Lean, mathematical novelty claim, selected-record change or tape runtime claim was made. Subsequent receipts join by hashes without mutating v1. + +Smallest useful next task: Consume roles 01/03/04 receipts against these hashes; separately audit the newly surfaced #5387 literal word and scalar delta, preserving this frozen #5383 record. + +Reproduction command and expected runtime: `python3 -B outputs/price-plane-swarm-20261024/02-census/reproduce.py --revision v1 --capsule outputs/price-plane-swarm-20261024/09-capsule-cold/capsule-v1` (under three seconds observed). This copies the original census into an isolated temporary directory and compares both generated invoice and chronology hashes with the immutable records. The older receipt's direct authoring command identifies the original producer invocation; the wrapper is the safe repeat command. + +Predecessor credit: Ali Romman owns the eight-relation construction. Cao Yifan supplied the frozen #4610 native word; Cinna Davis supplied the controller/helper lineage; zxv supplied native, cache, compiler and precision work; Jacob Alan Sussman supplied mixed recursion; Chris R/Clear1nsight supplied #5241/#5384 independent admission. All source notices remain. This scoped independent census uses substantial OpenAI assistance. + +# Incremental successor census: frozen #5387 + +Research discussion / PR / artifact: Dugongue's [#5387](https://github.com/CrocSwap/integer-mult-bounds/pull/5387), `INVOICE-v2.json`, `CHRONOLOGY-v2.json`, `DELTA-5387-v2.json`, `CANDIDATE-CONTRACT-v2.json`, `RECEIPT-v2.json`. + +Exact commit: `b1ab650d36f59e5be682a813145b7c67e219e341`, package `research/eight-owned-relations`. Exact capsule manifest `b0b7eaeef8895264f33e86d87c1bf63fba495d6ac2f50e1414ee3eae775a1594`. Invoice SHA256 `2a65a5fd82be81c6dfee86a6a35f28a207d00903d973c32b59186a56d6695a0e`; contract SHA256 `06c08bee274a19a83c19b8ea6be24bcee9a6eaab29ac794adf73bce25125873e`. + +What is established: A separate literal census independently reproduces exactly the v1 paid/target histograms and masses, with backward scalar allowance 158,776, an increase of 32. Backward event count becomes 21,553, including 17,565 scalar records and 16,329 ADDs. The route reservation stays 4,834,000, local scalar-plus-route upper bill becomes 4,992,776 < 10^7, and complete raw bound stays 181,098,496 < 10^9. Forward program and canonical native payload are identical. The v1 files remain unchanged. + +The literal physical interface changes materially despite its identical rank profile. Owned pivot L288 is replaced by L261; L288 becomes an arbitrary retained input/output. The eighth snapshot copies earlier L256 instead of L288, still in frame 281. The associated zero retag moves from L288 to L256; the L288 rank-one paid climb is restored while L256's rank-one paid climb is removed. Preparation expands from 62 to 64 scalar events (eight clears and 56 ADDs), and the final owned clear changes L288 to L261. The delta artifact partitions these changes explicitly. Fresh physical role 01 checks the new retained L288 column, arbitrary owned L261, snapshot identity and zero identity; identical histograms alone were not used to inherit physical admission. + +What remains uncertain: The invoice remains a scoped census until roles 03 and 04 bind the new expanded template and numerical compiler point. The claimed saving 0.003026674765 and tested 0.003026674766 with reserve 10^-12 are typed source inputs, not census conclusions. The initial attempt against a differently named capsule was rejected for its old #5383 manifest before freeze; that attempted output is retained under explicit REJECTED-WRONG-CAPSULE filenames and is not an admitted invoice. The v2 reader now enforces the exact manifest head before parsing. + +Smallest useful next task: Join the fresh physical receipt and new precision/stock and exact funding receipts by source and invoice hashes. Preserve the distinction between same rank profile, changed actual owners and the new compiler parameters. + +Reproduction command and expected runtime: `python3 -B outputs/price-plane-swarm-20261024/02-census/reproduce.py --revision v2 --capsule outputs/price-plane-swarm-20261024/09-capsule-cold/capsule-5387-v1` (under three seconds observed; isolated exact invoice and chronology hash comparison passed). + +Predecessor credit: Ali Romman owns the eight-relation mechanism; Dugongue owns this published alternative physical supplier and compiler-margin refinement, with retained transported-frame lineage. The #4610/controller/native/compiler/precision/recursion and independent-admission credits above remain. This independent census and incremental delta use substantial OpenAI assistance. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/DERIVATION.md b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/DERIVATION.md new file mode 100644 index 0000000000..130f6f33f6 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/DERIVATION.md @@ -0,0 +1,25 @@ +# Fixed p16 FULL / QUERY domain: equations frozen before the screen + +This is a source-bound, necessary-model screen. It changes at most two of the 33 existing stage modes. Pair locations, backward flags, all scalar bridges/exchanges, retained-idle mask and both scalar boundary matrices/programs remain frozen. A stage changes between its existing oriented FULL interface and that orientation's existing QUERY interface. It does not transpose a word, change native relations, or fuse queries. + +On each of 112 independent port copies, with column vectors (X,Y), the literal maps are + +- forward QUERY: `(X,Y) -> (X,Y+Q^-1 X)`; +- backward QUERY: `(X,Y) -> (X-Q Y,Y)`; +- FULL: apply that same shear, then multiply both components by the commuting stage factor `D_s`. + +Thus FULL is `D_s I_2` times its oriented shear, not `D_s Q` or an unoriented letter. In particular Q^-1 is not identified with Q. A forward QUERY requires one owned copied stream, one paid rank-one Q^-1 request and charged add/erase/route. Backward changes sign and side exactly as above. Neither receives helper productive credit. Forward FULL uses the source forward word; backward FULL uses the physically checked #5383 backward word. Every FULL occurrence has a fresh independent helper bank. The owned field is separately returned and never credited. + +Let S be the stages retaining FULL. Reconstruct the original p16 retained idle windows from the source keep-mask. For each such window with stage set J, apply `product_(s in J intersect S) D_s` to both fields. An empty product is the identity and costs no recursive job, while its scalar/routing treatment remains a separate finite cost. Removing/adding D_s at a local call also removes/adds that factor at every retained idle mentioning it. This includes the fifteen retained middle windows that are invisible identity events in the published thinned word and reappear if an even stage becomes FULL. + +Let A_S(Q,D) be the exact chronological 32 by 32 Laurent matrix and let L,R be the frozen rational scalar boundaries. Only if `L A_S R` is diagonal, with each diagonal entry exactly one monomial of coefficient +1, central Q exponent in {-1,+1}, and each selected stage exponent in {0,1}, is the source rank normalization admitted. The main rank on that independent field is `1+8*sum(stage exponents)`, repeated 112 times. Squared factors, off-diagonal residues, sums, wrong central powers and signs are rejected, not silently normalized. D0 is the source nine-axis multiplier times Q^-1; the source +/-1 central normalization accounts for its overlap. Fresh stages s>0 are separate eight-axis blocks. Thus the formula is tied to this normalization and is not applied to arbitrary Laurent endpoints. + +Given an admissible endpoint, define oriented source local histograms H_b,P_b,H_f,P_f from the independently derived invoice. The complete recursive histograms are + +`T_S = main(endpoint) + n_b(S)*H_b + n_f(S)*H_f`, + +`P_S = n_b(S)*P_b + n_f(S)*P_f + 112*(33-|S|)*H_1 + sum_(retained idle J, J intersect S nonempty)224*H_(8*|J intersect S|)`. + +There is no per-letter reward for a non-diagonal endpoint, no retained helper from a removed FULL call, no credit for owned copies, and each main/helper is counted once. Summing r*T[r]-r*P[r] is an independent rank-mass check, not a substitute for the Laurent endpoint. At saving c the necessary favorable moment is `sum_r(T[r]-P[r])*r^(1-c)`. Scalar preparation, query COPY/CLEAR, movement, stocks, precision, completion and compiler reserves are not inserted as raw rank jobs; they can only reduce the funded region. This screen gives candidates zero additional nonrecursive penalty, so a failed moment is a favorable-cap exclusion. A passing moment does not establish funding. + +The baseline is independently cold-admitted #5377 at .00302235. Competitive screens additionally use #5383's .00302666 and #5387's .003026674765, with their different admission statuses retained. This bounded domain is not a universal controller bound. Any surviving candidate would need actual changed calls, a literal physical endpoint, fresh ownership/ordinary/stock/precision closure and exact completion/compiler/outer tests before native synthesis or funding. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/EXACT-SCREEN-v1.json b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/EXACT-SCREEN-v1.json new file mode 100644 index 0000000000..f59131a870 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/EXACT-SCREEN-v1.json @@ -0,0 +1,15138 @@ +{ + "arithmetic": "Fraction atanh40 log + positive Taylor18 exp, directed 45-decimal rational rounding; all tails bounded", + "feasibility_sha256": "39611ebaea642b699f9573d656898ed8cdb3febd175cb3cd5018c6654af32146", + "runtime_seconds": 0.682496, + "schema": "fixed-p16-directed-rational-moments/1", + "scope": "negative favorable necessary moment at the three stated target savings; no full 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"129": 224 + }, + "paid_jobs": 57568, + "productive_fields": 9992, + "queries": 17, + "rank_surplus": 656 + } + ], + "runtime_seconds": 12.814882, + "schema": "fixed-p16-modes-screen/1", + "script_sha256": "2b87254564e82d50296b9f53f376039938a2ce8ada0c4f73b8ba62fddf577d0d", + "source_controller_sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f", + "targets": [ + ".00302235", + ".00302666", + ".003026674765" + ], + "universal_nonzero_cells": 32, + "universal_terms": 32, + "valid_endpoint_count": 562 +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/HANDOFF.md b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/HANDOFF.md new file mode 100644 index 0000000000..c39bee943d --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/HANDOFF.md @@ -0,0 +1,13 @@ +Research discussion / PR / artifact: Local bounded fixed-p16 mode screen in `outputs/price-plane-swarm-20261024/06-controller-modes/`; no external publication. Primary files: `MODE-DOMAIN.json`, `DERIVATION.md`, `FEASIBILITY-v1.json`, `EXACT-SCREEN-v1.json`, `RESULT.json`, `REPORT.md`. + +Exact commit: #5383 source head `4bd6efa51a495a7c7b7754915cf0244e7e60969e`, canonical base `1ec1119972c9aefe42525172d07b332fcff81cb4`; controller SHA256 `1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f`; independent invoice SHA256 `7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e`. + +What is established: Exact source-formal endpoints for all562 allocations with <=2 FULL/QUERY changes at33 positions, fixed scalar boundaries and source idle mask; complete oriented helper/main/idle/query bills; all561 changed allocations have strictly negative favorable moment at .00302235, .00302666 and .003026674765. Closest is stage32FULL->QUERY: 60,962paid/10,392targets, rank surplus704, M(.00302235)<-1.3219933718776856. The unchanged #5383 allocation uniquely maximizes the necessary moment at all three target savings over this domain. + +What remains uncertain: No full real-saving-domain or universal controller bound. No altered physical template, ordinary/stock/precision closure, compiler or cold admission is claimed. #5383/#5387 campaign admission statuses remain owned by their independent validators. Root-provided overlap clearance excludes current exact fixed33 claim, not unpublished work. + +Smallest useful next task: Stop fixed-mode search. A named new premise is coupled retained-idle-mask and scalar-boundary retiming; require a fresh actual Laurent endpoint and complete invoice before any search/native work. This is a proposal only and needs root allocation. Preserve Ali's active forward-transpose work and #4603 exclusions. + +Reproduction command and expected runtime: `timeout 60s python3 -B outputs/price-plane-swarm-20261024/06-controller-modes/reproduce.py`; about15seconds, standard library only, temporary outputs, immutable receipts untouched. Expected output begins `PASS: exact 562-entry endpoint/invoice table and all1683 changed-allocation target signs reproduced`. + +Predecessor credit: Ali Romman #5383 relations; Cao Yifan #4610 word; Cinna Davis controller/helper/query lineage; zxv native/cache/compiler/precision; Jacob Alan Sussman mixed recursion; Chris R/Clear1nsight #5241/#5384 admission; retained #4603 attribution. Substantial OpenAI assistance. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MANIFEST-v1.json b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MANIFEST-v1.json new file mode 100644 index 0000000000..e96fbf8d4e --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MANIFEST-v1.json @@ -0,0 +1,50 @@ +{ + "files": { + "DERIVATION.md": { + "bytes": 4213, + "sha256": "a8778199677e4280570767810338fd2d0388c9ba0ac492f1df35c5fc5e99a179" + }, + "EXACT-SCREEN-v1.json": { + "bytes": 609675, + "sha256": "7ac80a186dd5c941984a59326cd5013c68a25d8efbc06f06df6db6797a688433" + }, + "FEASIBILITY-v1.json": { + "bytes": 9333744, + "sha256": "39611ebaea642b699f9573d656898ed8cdb3febd175cb3cd5018c6654af32146" + }, + "HANDOFF.md": { + "bytes": 2502, + "sha256": "5564fb2081735c649ad50460cdeede951e715e9bae2cb41dc0b1ef969e1d1869" + }, + "MODE-DOMAIN.json": { + "bytes": 1807, + "sha256": "fedc37ecf6e8bcf115de25e32ad9cd9b85bef57541b6b134748b4dfdc2320bcc" + }, + "REPORT.md": { + "bytes": 6429, + "sha256": "1bb768fe19195f2ad663aced76e832b23d5bada7d2f8de388bd69a440df56dd0" + }, + "REPRODUCTION.json": { + "bytes": 586, + "sha256": "e65c89c534f452374194e480dcd90c2df40665a4ed5e3512f12e3a10c16610c4" + }, + "RESULT.json": { + "bytes": 2715, + "sha256": "4e589391c304490fcf6412bd0d4c48ad6ab869f33c69fdd6677ea0effa07d7bd" + }, + "certify.py": { + "bytes": 3303, + "sha256": "9645ccd0c4f8edacae5822c0e28dfa7368183f10060e915eea758952a6d13ea0" + }, + "reproduce.py": { + "bytes": 1181, + "sha256": "3fc432f2c032e0ad3edc8ea35ded37cc3fe50ad32ab9e6121d6e10d57c3d1bb8" + }, + "screen.py": { + "bytes": 8224, + "sha256": "2b87254564e82d50296b9f53f376039938a2ce8ada0c4f73b8ba62fddf577d0d" + } + }, + "schema": "fixed-p16-mode-screen-manifest/1", + "status": "FROZEN_V1" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MODE-DOMAIN.json b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MODE-DOMAIN.json new file mode 100644 index 0000000000..6329504b82 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/MODE-DOMAIN.json @@ -0,0 +1,35 @@ +{ + "all_endpoint_legal_under_source_formal_maps": true, + "changed_premise": "Coupled retained-idle-mask and scalar-boundary retiming, first requiring a fresh literal Laurent endpoint and full new invoice; not executed.", + "changed_size": 561, + "domain_size": 562, + "fixed": [ + "p16 and 32 main field positions per port", + "33 existing local/query stage positions and orientation flags", + "all scalar bridges and signed exchanges", + "keep_mask=35047648968703 and exact retained idle incidence", + "both scalar boundary matrices and literal programs", + "published native relations and frames" + ], + "invoice_sha256": "7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e", + "not_claimed": [ + "full real-c domain ceiling", + "universal controller bound", + "admission of altered physical templates", + "independent admission of5383 or5387", + "new kappa or selected-record change" + ], + "physical_promotion": "none; endpoints source-formal and favorable only", + "root_clearance": "Root supplied #5125 fresh Board reconciliation at21:04; no exact fixed33 mode-selection overlap found; forward transpose remains Ali-owned; unpublished work not cleared.", + "schema": "fixed-p16-controller-mode-domain/1", + "source_controller_sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f", + "source_head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "status": "SCOPED_TARGET_SCREEN_CLOSED", + "stop": "All561 changed allocations fail every target even with zero added nonrecursive penalty. No native synthesis.", + "target_savings": [ + ".00302235", + ".00302666", + ".003026674765" + ], + "variable": "FULL/QUERY mode of at most two existing stages; corresponding stage factor removed/added everywhere in original retained idle skeleton" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPORT.md b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPORT.md new file mode 100644 index 0000000000..250e25a97b --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPORT.md @@ -0,0 +1,39 @@ +# Change and mathematical scope + +The bounded fixed-p16 allocation screen is complete. All 562 allocations at Hamming distance at most two from the published 18-FULL/15-QUERY assignment have exact admissible diagonal Laurent endpoints with the original scalar boundaries. Every one of the 561 changed allocations has strictly negative necessary recursive moment at saving .00302235, even after optimistically omitting all extra nonrecursive, stock, precision, completion and compiler penalties. They also all fail .00302666 and .003026674765. This closes the assigned target screen and stops native synthesis. + +The unchanged #5383 allocation is the unique maximum of this favorable moment over this enumerated domain at each of those three target savings. Its positive raw margin does not independently establish physical or funded admission. This result is confined to the source interfaces, p16 graph, idle mask, fixed scalar boundaries, <=2 changes, and the three target savings. It is not a universal controller bound or a proof over every real saving. + +# Task and overlap + +Root supplied current #5125 clearance at 21:04: Ali's eight-center work is published as #5383, and Ali's forward-transpose claim remains active. This worker used no second upstream feed or publication tool. It changed no relation, native word, frame or transpose. It did not reopen #4603's adjacent fusion, parity-chart or gather models. Only this worker's output directory was written. + +The exact source controller SHA256 is `1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f`. It was read from immutable capsule v1, manifest `ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8`. Oriented backward #5383 and original forward local profiles came from independently reconstructed invoice `7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e`, bound to #5383 head `4bd6efa51a495a7c7b7754915cf0244e7e60969e`. + +# Validation + +`DERIVATION.md` froze the exact endpoint, Gaussian rank, helper-bank, idle and query-invoice formulas before enumeration. The independent interpreter reconstructs the full original skeleton, including retained middle idle windows that were identities and therefore absent in the published thinned event list. Specializing to the published mode set reproduces every frozen event, all 32 diagonal monomials and the complete 64,148-paid/10,800-target invoice. It preserves Q and Q^-1 as Laurent operators and the source forward/backward signs. + +A universal exact Laurent replay with all 33 D variables produces 32 nonzero cells, each a single monomial after applying the frozen scalar boundaries. Each permitted mode allocation is its source specialization D_s=1 on QUERY stages. Every endpoint survivor is additionally recomputed by a separate literal chronological replay of its actual emitted events, agreeing exactly. Each FULL call gets exactly one fresh oriented helper bank; every query pays 112 rank-one requests; each nonempty idle charges 224 jobs at its actual new rank. Main output ranks are computed from the new diagonal instead of inherited from baseline. Wrong query orientation changes the exact endpoint and is rejected by the control. + +The exact moment certificate uses a separate standard-library Fraction engine: an atanh series for logarithms with explicit remainder, positive exponential Taylor series with explicit geometric remainder, interval reciprocals, and directed rational rounding. It certifies all 1,683 negative changed-allocation/target cases. Floating Decimal figures in the feasibility table are discovery displays only. + +The closest changed allocation at all three targets is terminal stage 32 FULL -> QUERY. Its actual relaxed invoice has sixteen backward FULL calls, one original forward FULL call, sixteen queries, 60,962 paid jobs, 10,392 independent target fields and rank surplus 704. Its main ranks are `{9:224,17:448,25:448,33:448,41:448,49:448,57:448,65:448,137:224}`. Its idle ranks are `{8:224,16:448,24:448,32:448,40:448,48:448,56:448,64:448}`. Lost forward helpers are charged, and the former rank-145 main targets become rank 137. + +| Target saving | Closest changed moment (display) | Exact strict upper sign | +|---|---:|---| +| .00302235, independently cold-admitted #5377 at dispatch | -1.3219933718776856 | Negative | +| .00302666, competitive #5383 claim | -2.3212515475576774 | Negative | +| .003026674765, competitive #5387 compiler claim | -2.3246747283354974 | Negative | + +The first upper bound is exactly `-264398674375537126920890183958632862006899117/200000000000000000000000000000000000000000000`. Unknown ordinary costs remain unknown; their zero penalty is explicitly an optimistic relaxation used only for rejection. No altered allocation was physically admitted, synthesized, compiled or run cold. No Lean or general controller search ran. The endpoint/invoice sweep took about 13 seconds and rational certificates under one second; all commands had a 60-second timeout. + +# Credit + +Ali Romman owns #5383's eight-relation construction. Cao Yifan supplied #4610's native word; Cinna Davis supplied the p16/controller/helper and query-thinning lineage; zxv supplied native, cache, precision and compiler work; Jacob Alan Sussman supplied mixed recursion; Chris R/Clear1nsight supplied #5241/#5384 independent admission. #4603's existing exclusions remain attributed and intact. This bounded independent screen uses substantial OpenAI assistance. + +# Open next questions + +A new attempt must change a named premise. The concrete changed-controller premise is to permit **coupled retained-idle-mask and scalar-boundary retiming**, rather than more FULL/QUERY subsets under this fixed mask and boundaries. Its first gate is a fresh exact Laurent endpoint with all changed scalar events and all main/idle/helper charges, followed by the same favorable moment test. Nothing here authorizes that search or overlaps Ali's forward-transpose construction. An externally supplied stronger local contract would also invalidate this screen's local H/P inputs and require a new source-bound model, not reinterpretation of this result. + +Reproduce safely with `timeout 60s python3 -B outputs/price-plane-swarm-20261024/06-controller-modes/reproduce.py`. It recomputes in a temporary directory, compares the substantive complete tables and exact certificates, and leaves immutable producer receipts untouched. Expected runtime is about 15 seconds. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPRODUCTION.json b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPRODUCTION.json new file mode 100644 index 0000000000..b3605d5c26 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/REPRODUCTION.json @@ -0,0 +1,10 @@ +{ + "command": "timeout 60s python3 -B outputs/price-plane-swarm-20261024/06-controller-modes/reproduce.py", + "comparison": "complete substantive producer tables; JSON integer key normalization; runtime and dependent feasibility file hash omitted because runtime metadata differs", + "exit_code": 0, + "expected_runtime_seconds_approximately": 15, + "producer_files_mutated": false, + "schema": "fixed-p16-reproduction/1", + "status": "PASS", + "stdout": "PASS: exact 562-entry endpoint/invoice table and all1683 changed-allocation target signs reproduced; producer files untouched" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/RESULT.json b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/RESULT.json new file mode 100644 index 0000000000..ffae2c87db --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/RESULT.json @@ -0,0 +1,58 @@ +{ + "artifacts": { + "DERIVATION.md": "a8778199677e4280570767810338fd2d0388c9ba0ac492f1df35c5fc5e99a179", + "EXACT-SCREEN-v1.json": "7ac80a186dd5c941984a59326cd5013c68a25d8efbc06f06df6db6797a688433", + "FEASIBILITY-v1.json": "39611ebaea642b699f9573d656898ed8cdb3febd175cb3cd5018c6654af32146", + "HANDOFF.md": "5564fb2081735c649ad50460cdeede951e715e9bae2cb41dc0b1ef969e1d1869", + "MODE-DOMAIN.json": "fedc37ecf6e8bcf115de25e32ad9cd9b85bef57541b6b134748b4dfdc2320bcc", + "REPORT.md": "1bb768fe19195f2ad663aced76e832b23d5bada7d2f8de388bd69a440df56dd0", + "REPRODUCTION.json": "e65c89c534f452374194e480dcd90c2df40665a4ed5e3512f12e3a10c16610c4", + "certify.py": "9645ccd0c4f8edacae5822c0e28dfa7368183f10060e915eea758952a6d13ea0", + "reproduce.py": "3fc432f2c032e0ad3edc8ea35ded37cc3fe50ad32ab9e6121d6e10d57c3d1bb8", + "screen.py": "2b87254564e82d50296b9f53f376039938a2ce8ada0c4f73b8ba62fddf577d0d" + }, + "best_changed_moment_intervals": { + ".00302235": { + "changed_stages": [ + 32 + ], + "lower": "-1321993371877685634604450919793164310359474767/1000000000000000000000000000000000000000000000", + "strict_sign": "NEGATIVE", + "upper": "-264398674375537126920890183958632862006899117/200000000000000000000000000000000000000000000" + }, + ".00302666": { + "changed_stages": [ + 32 + ], + "lower": "-2321251547557677393721054414089945114679632903/1000000000000000000000000000000000000000000000", + "strict_sign": "NEGATIVE", + "upper": "-2321251547557677393721054414089945114354169079/1000000000000000000000000000000000000000000000" + }, + ".003026674765": { + "changed_stages": [ + 32 + ], + "lower": "-2324674728335497354090811410507264505651505347/1000000000000000000000000000000000000000000000", + "strict_sign": "NEGATIVE", + "upper": "-2324674728335497354090811410507264505326094139/1000000000000000000000000000000000000000000000" + } + }, + "changed_allocations": 561, + "changed_premise": "Coupled retained-idle-mask and scalar-boundary retiming, first requiring a fresh literal Laurent endpoint and full new invoice; not executed.", + "decision": "STOP_FIXED_DOMAIN", + "diagonal_endpoint_allocations": 562, + "domain_size": 562, + "funded_candidate": null, + "negative_changed_target_cases": 1683, + "reproduction": "PASS", + "schema": "controller-modes-result/1", + "source_baseline_unique_moment_maximum_at_targets": true, + "source_pins": { + "controller": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f", + "invoice": "7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e" + }, + "status": "NEGATIVE_SCOPED_RESULT", + "strongest_changed_stages": [ + 32 + ] +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/certify.py b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/certify.py new file mode 100644 index 0000000000..6fe3b2ab2e --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/certify.py @@ -0,0 +1,61 @@ +#!/usr/bin/env python3 +"""Directed rational sign certificates, independent of candidate arithmetic. +Atanh log with explicit tail; exp positive Taylor18 with geometric tail. +All arithmetic uses Fraction, and each summand selects the favorable endpoint. +""" +from fractions import Fraction as F +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import json,time +HERE=Path(__file__).resolve().parent +U=10**45 +def down(x):return F(x.numerator*U//x.denominator,U) +def up(x):return -down(-x) +def small_log(x): + z=(x-1)/(x+1);assert 0<=z<=F(1,3) + p=z;s=F(0) + for j in range(40):s+=2*p/(2*j+1);p*=z*z + return down(s),up(s+2*p/(81*(1-z*z))) +@lru_cache(None) +def logr(r): + k=r.bit_length()-1;a,b=small_log(F(r,2**k));l,h=small_log(F(2));return a+k*l,b+k*h +def exp_positive(x): + assert x>=0 + shifts=0 + while x>F(1,32):x/=2;shifts+=1 + p=s=F(1) + for j in range(1,19):p*=x/j;s+=p + lo,hi=down(s),up(s+p*x/19/(1-x/20)) + for _ in range(shifts):lo,hi=down(lo*lo),up(hi*hi) + return lo,hi +@lru_cache(None) +def power(r,c): + # r^(1-c) = r / exp(c log r), with no floating arithmetic. + l,h=logr(r);lower=exp_positive(c*l)[0];upper=exp_positive(c*h)[1] + return down(F(r)/upper),up(F(r)/lower) +def interval(row,c): + T,P=map(lambda p:{int(k):v for k,v in p.items()},[row['T'],row['P']]);lo=hi=F(0) + for r in T.keys()|P.keys(): + n=T.get(r,0)-P.get(r,0);a,b=power(r,c) + lo+=n*(a if n>=0 else b);hi+=n*(b if n>=0 else a) + return lo,hi + +def main(feasibility=None,output=None): + start=time.monotonic();fp=feasibility or HERE/'FEASIBILITY-v1.json';data=json.loads(fp.read_text());targets=data['targets'];records=[];winners={} + for k in targets: + c=F(k);sc=[] + for row in data['rows']: + lo,hi=interval(row,c);sc.append({'changed_stages':row['changed_stages'],'lower':str(lo),'upper':str(hi),'strict_sign':'NEGATIVE' if hi<0 else 'POSITIVE' if lo>0 else 'UNRESOLVED'}) + altered=[r for r in sc if r['changed_stages']];assert len(altered)==561 and all(r['strict_sign']=='NEGATIVE' for r in altered) + best=max(altered,key=lambda r:F(r['upper']));winners[k]=best + assert sc[0]['strict_sign']=='POSITIVE' + records.append({'target':k,'unchanged':sc[0],'best_changed_upper':best,'all_changed_strictly_negative':True,'records':sc}) + # Integer identity and known exact values control the interval implementation. + assert power(1,F(targets[0]))[0]<=1<=power(1,F(targets[0]))[1] + assert power(9,F(0))[0]<=9<=power(9,F(0))[1] + assert power(9,F(1))[0]<=1<=power(9,F(1))[1] + out={'schema':'fixed-p16-directed-rational-moments/1','status':'ALL_561_CHANGED_ALLOCATIONS_FAIL_DECLARED_TARGETS','feasibility_sha256':sha256(fp.read_bytes()).hexdigest(),'script_sha256':sha256(Path(__file__).read_bytes()).hexdigest(),'arithmetic':'Fraction atanh40 log + positive Taylor18 exp, directed 45-decimal rational rounding; all tails bounded','scope':'negative favorable necessary moment at the three stated target savings; no full c-domain theorem','zero_additional_nonrecursive_penalty':True,'runtime_seconds':round(time.monotonic()-start,6),'targets':records} + (output or HERE/'EXACT-SCREEN-v1.json').write_text(json.dumps(out,indent=2,sort_keys=True)+'\n') + print(json.dumps({'status':out['status'],'runtime_seconds':out['runtime_seconds'],'best_changed':winners},indent=2)); return out +if __name__=='__main__':main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/reproduce.py b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/reproduce.py new file mode 100644 index 0000000000..4f61f18bdd --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/reproduce.py @@ -0,0 +1,20 @@ +#!/usr/bin/env python3 +"""Recompute without mutating immutable producer receipts; about 15 seconds.""" +import contextlib,importlib.util,io,json,tempfile +from pathlib import Path +HERE=Path(__file__).resolve().parent + +def load(name): + spec=importlib.util.spec_from_file_location(name,HERE/(name+'.py'));m=importlib.util.module_from_spec(spec);spec.loader.exec_module(m);return m + +def strip_runtime(x): + if isinstance(x,dict):return {str(k):strip_runtime(v) for k,v in x.items() if k not in ('runtime_seconds','feasibility_sha256')} + if isinstance(x,list):return [strip_runtime(v) for v in x] + return x +with tempfile.TemporaryDirectory(prefix='p16-modes-replay-') as tmp: + t=Path(tmp) + with contextlib.redirect_stdout(io.StringIO()): + screen=load('screen').main(t/'feasibility.json'); exact=load('certify').main(t/'feasibility.json',t/'exact.json') + assert strip_runtime(screen)==strip_runtime(json.loads((HERE/'FEASIBILITY-v1.json').read_text())) + assert strip_runtime(exact)==strip_runtime(json.loads((HERE/'EXACT-SCREEN-v1.json').read_text())) + print('PASS: exact 562-entry endpoint/invoice table and all1683 changed-allocation target signs reproduced; producer files untouched') diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/screen.py b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/screen.py new file mode 100644 index 0000000000..2474715df2 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/06-controller-modes/screen.py @@ -0,0 +1,156 @@ +#!/usr/bin/env python3 +"""Independent exact p16 fixed-boundary Laurent screen; stdlib only. +Source maps/profiles credited in DERIVATION.md. Substantial OpenAI assistance. +""" +from collections import Counter +from decimal import Decimal, localcontext +from fractions import Fraction +from hashlib import sha256 +from itertools import combinations +from pathlib import Path +import json,time +HERE=Path(__file__).resolve().parent +CAMPAIGN=HERE.parent +CAPSULE=CAMPAIGN/'09-capsule-cold/capsule-v1' +CP=CAPSULE/'snapshot/research/joint-helper-lattice/CONTROLLER.json' +IP=CAMPAIGN/'02-census/INVOICE-v1.json' +c=json.loads(CP.read_text()); inv=json.loads(IP.read_text()) +assert sha256(CP.read_bytes()).hexdigest()=='1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f' +assert sha256(IP.read_bytes()).hexdigest()=='7c6dfe167dd83cc48b32743e6bcfa76e3420ccd5be997c935b02a99e3636f44e' +N=32; ALL=(1<<33)-1; oldS={0,32,*range(1,32,2)} +# Six bits per stage leave room for all possible repeated powers on a path. +# No order-two/Pauli quotient is used, and powers are validated at the end. +def packed(stages):return sum(1<<(6*s) for s in stages) +def add(a,b,f=1): + out=a.copy() + for k,v in b.items(): + out[k]=out.get(k,0)+f*v + if not out[k]:del out[k] + return out +def scale(poly,q=0,d=0,f=1):return {(k[0]+q,k[1]+d):v*f for k,v in poly.items()} +def skeleton(): + events=[]; idles=[] + def idle(pair,stages,kind): + idx=len(idles); r={'index':idx,'pair':pair,'stages':list(stages),'kind':kind,'retained':bool(c['keep_mask']>>idx&1)}; idles.append(r) + if r['retained']:events.append(['IDLE',pair,r['stages']]) + def local(stage,pair,back): + events.append(['LOCAL',stage,pair,back]) + if stage%2 and stage<=29:idle((stage+1)//2,range(stage+1),'initial') + elif stage%2==0 and 2<=stage<=30:idle(stage//2,[stage],'middle') + elif stage==32: + for j in range(15):idle(j,range(2*j+3,33),'terminal') + def bridge(dst,src,f):events.extend([['ADD',2*dst,2*src,f],['ADD',2*src+1,2*dst+1,-f]]) + local(0,0,False) + for j in range(16): + local(2*j+1,j,True) + if j<15:bridge(j,j+1,1) + local(2*j+2,j,False) + if j<15:bridge(j,j+1,-1) + for j in reversed(range(15)):bridge(j+1,j,1) + for j in range(16):events.append(['SIGNED_SWAP',2*j,2*j+1]) + return events,idles +EVENTS,IDLES=skeleton() +def emit(S): + out=[] + for e in EVENTS: + if e[0]=='LOCAL':out.append([('LOCAL' if e[1] in S else 'QUERY_SHEAR'),*e[1:]]) + elif e[0]=='IDLE': + st=[s for s in e[2] if s in S] + if st:out.append(['IDLE',e[1],st]) + else:out.append(e) + return out +assert emit(oldS)==c['physical_events'], 'Skeleton does not reproduce all frozen events' +L=[[int(Fraction(v)) for v in row] for row in c['boundaries']['left']] +R=[[int(Fraction(v)) for v in row] for row in c['boundaries']['right']] +assert all(Fraction(v).denominator==1 for mat in [c['boundaries']['left'],c['boundaries']['right']] for row in mat for v in row) +def replay(events, right=R): + A=[[{(0,0):v} if v else {} for v in row] for row in right] + for e in events: + op=e[0] + if op in ['LOCAL','QUERY_SHEAR']: + _,stage,pair,back=e;x,y=2*pair,2*pair+1 + if back:x,y=y,x + A[y]=[add(a,scale(b,q=(1 if back else -1),f=(-1 if back else 1))) for a,b in zip(A[y],A[x])] + if op=='LOCAL': + for z in (x,y):A[z]=[scale(a,d=packed([stage])) for a in A[z]] + elif op=='IDLE': + for z in (2*e[1],2*e[1]+1):A[z]=[scale(a,d=packed(e[2])) for a in A[z]] + elif op=='ADD':A[e[1]]=[add(a,b,e[3]) for a,b in zip(A[e[1]],A[e[2]])] + elif op=='SIGNED_SWAP':A[e[1]],A[e[2]]=A[e[2]],[scale(a,f=-1) for a in A[e[1]]] + else:raise ValueError(op) + out=[[{} for j in range(N)] for i in range(N)] + for i,row in enumerate(L): + for k,f in enumerate(row): + if f: + for j in range(N):out[i][j]=add(out[i][j],A[k][j],f) + return out + +def specialise(A,S): + mask=sum(63<<(6*s) for s in S) + return [[special_poly(poly,mask) for poly in row] for row in A] +def special_poly(poly,mask): + out={} + for (q,d),v in poly.items(): + k=(q,d&mask);out[k]=out.get(k,0)+v + return {k:v for k,v in out.items() if v} +def endpoint(A): + for i in range(N): + for j in range(N): + if i!=j and A[i][j]: + k,v=next(iter(sorted(A[i][j].items()))) + return None,{'reason':'OFF_DIAGONAL_LAURENT_RESIDUE','row':i,'column':j,'Q':k[0],'stage_powers':unpack(k[1]),'coefficient':v} + terms=[] + for i in range(N): + if len(A[i][i])!=1:return None,{'reason':'NON_MONOMIAL_DIAGONAL','row':i,'terms':len(A[i][i])} + (q,d),v=next(iter(A[i][i].items()));powers=unpack(d) + if v!=1 or q not in (-1,1) or any(x not in (0,1) for x in powers):return None,{'reason':'OUTSIDE_SOURCE_NORMALIZATION','row':i,'coefficient':v,'Q':q,'stage_powers':powers} + terms.append((q,powers)) + return terms,None +def unpack(d):return [(d>>(6*s))&63 for s in range(33)] +def hist(x):return Counter({int(k):v for k,v in x.items()}) +def bill(S,terms): + T=Counter();P=Counter();main=Counter();idle=Counter();nb=nf=0 + for e in EVENTS: + if e[0]=='LOCAL': + if e[1] in S: + ori='backward' if e[3] else 'forward';nb+=int(e[3]);nf+=int(not e[3]);T.update(hist(inv['locals'][ori]['helpers']));P.update(hist(inv['locals'][ori]['paid'])) + else:P[1]+=112 + elif e[0]=='IDLE': + r=8*len(S.intersection(e[2])) + if r:idle[r]+=224 + for q,powers in terms:main[1+8*sum(powers)]+=112 + T.update(main);P.update(idle) + return T,P,{'backward_full':nb,'forward_full':nf,'queries':33-len(S),'main':dict(sorted(main.items())),'idle':dict(sorted(idle.items())),'paid_jobs':sum(P.values()),'productive_fields':sum(T.values()),'rank_surplus':sum(r*n for r,n in T.items())-sum(r*n for r,n in P.items())} +TARGETS=['.00302235','.00302666','.003026674765'] +def margins(T,P): + with localcontext() as ctx: + ctx.prec=65 + return {k:str(sum(Decimal(T[r]-P[r])*(Decimal(r)**(1-Decimal(k))) for r in T.keys()|P.keys())) for k in TARGETS} +def main(output=None): + start=time.monotonic(); U=replay(EVENTS) + assert max((d>>(6*s))&63 for row in U for poly in row for q,d in poly for s in range(33))<63 + base,err=endpoint(specialise(U,oldS));assert err is None + assert [[q,*p] for q,p in base]==c['diagonal'] + T,P,bi=bill(oldS,base); assert T==hist(inv['histograms']['productive']) and P==hist(inv['histograms']['paid']) + # Independent literal replay and universal specialization agree for baseline. + assert replay(emit(oldS))==specialise(U,oldS) + rows=[]; valid=[] + for n in range(3): + for changes in combinations(range(33),n): + S=oldS.symmetric_difference(changes);A=specialise(U,S);terms,error=endpoint(A) + row={'changed_stages':list(changes),'full_stages':sorted(S),'endpoint_status':'REJECTED' if error else 'EXACT_SOURCE_DIAGONAL'} + if error:row['counterexample']=error + else: + T,P,counts=bill(S,terms);row.update(counts);row['T']=dict(sorted(T.items()));row['P']=dict(sorted(P.items()));row['favorable_moment_decimal']=margins(T,P);row['diagonal']=[[q,*p] for q,p in terms];valid.append(row) + rows.append(row) + assert len(rows)==562 + # Independent full literal chronological replay of every endpoint-surviving variant. + for row in valid: + S=set(row['full_stages']);assert replay(emit(S))==specialise(U,S) + # Reject a source-invalid order-two map and orientation mutation. + bad=emit(oldS);next(e for e in bad if e[0]=='QUERY_SHEAR')[3]=True + assert replay(bad)!=specialise(U,oldS) + out={'schema':'fixed-p16-modes-screen/1','script_sha256':sha256(Path(__file__).read_bytes()).hexdigest(),'source_controller_sha256':sha256(CP.read_bytes()).hexdigest(),'invoice_sha256':sha256(IP.read_bytes()).hexdigest(),'derivation_sha256':sha256((HERE/'DERIVATION.md').read_bytes()).hexdigest(),'domain_size':len(rows),'nonempty_mode_changes':561,'valid_endpoint_count':len(valid),'rejected_endpoint_count':len(rows)-len(valid),'baseline':bi,'targets':TARGETS,'arithmetic':'exact integer Laurent coefficients; decimal moments are discovery screens only','nonrecursive_penalty':'optimistically_relaxed_zero; no funding claim','universal_nonzero_cells':sum(bool(p) for row in U for p in row),'universal_terms':sum(len(p) for row in U for p in row),'runtime_seconds':round(time.monotonic()-start,6),'rows':rows} + (output or HERE/'FEASIBILITY-v1.json').write_text(json.dumps(out,indent=2,sort_keys=True)+'\n') + print(json.dumps({k:v for k,v in out.items() if k!='rows'},indent=2)); return out +if __name__=='__main__':main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/CERTIFICATE-CHECK-v1.json b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/CERTIFICATE-CHECK-v1.json new file mode 100644 index 0000000000..185672d084 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/CERTIFICATE-CHECK-v1.json @@ -0,0 +1,21 @@ +{ + "status": "PASS_FROZEN_PAID_SINGLE_MONOMIAL_CERTIFICATES", + "source_receipt_sha256": "39e4220a88c2e34ccd5f11b9ba3e12fa3eb1ee1ec00ede97f1e79d23a3a0b715", + "checker_sha256": "9fc203dc9a76f3a92aa4ff1e8d9a6fee88f98efce55ef677daadb5b440bd8e10", + "checked_paid_rows": 3282, + "paid_histogram": { + "1": 2193, + "2": 412, + "3": 510, + "4": 127, + "5": 40 + }, + "selected_retained_entry_roles": 402, + "selected_word_lengths": { + "0": 2934, + "1": 348 + }, + "invertible_binary_source_generators": 72, + "wrong_sign_certificate_control": true, + "logical_scope": "All positive tensor widths through nonzero scalar times invertible monomial coefficient; no lower-rank claim" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/HANDOFF.md b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/HANDOFF.md new file mode 100644 index 0000000000..1ad2c9d379 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/HANDOFF.md @@ -0,0 +1,13 @@ +**Research discussion / PR / artifact:** Complementary frozen #5383 zero-row census; local `outputs/price-plane-swarm-20261024/07-frozen-zero/REPORT.md`, `RESULT-v2.json`, `PAID-ROWS-v2.jsonl.gz`, `CERTIFICATE-CHECK-v1.json`. No external publication. + +**Exact commit:** Ali Romman's #5383 at `4bd6efa51a495a7c7b7754915cf0244e7e60969e`; capsule-v1 manifest SHA256 `ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8`; frozen word SHA256 `7883ba0faefc96505bb61ca7312d588fa22dfe2164050c817c1718b8fa28693a`. + +**What is established:** All 3,282 remaining positive local backward paid-input rows are nonzero maps under the exact 624-retained-independent-plus-17-arbitrary-owned boundary at every positive tensor width. Each has one retained input coefficient `q U`, nonzero scalar times invertible word. No additional identity-on-zero deletion exists in this frozen word. Existing eight zero-retags are excluded from new savings; whole-invoice change is zero. + +**What remains uncertain:** Lower-rank realizations on reachable subspaces, changed relations/pivots/preparation, changed scalar words, alternative direction and global optimality are outside this census. There is no new funded candidate. The census does not re-prove the inherited all-column native, owned-erasure, compiler, precision/tape or analytic-recovery foundations. + +**Smallest useful next task:** Close this frozen-zero route and change one explicit source premise before another construction search; preserve active forward-transpose ownership. No further seed or native relation search is justified by these rows. + +**Reproduction command and expected runtime:** `timeout 55s python3 -B outputs/price-plane-swarm-20261024/07-frozen-zero/census.py`, then `timeout 30s python3 -B outputs/price-plane-swarm-20261024/07-frozen-zero/check_certificates.py`; about 3.5 seconds combined and under 50 MiB observed RSS. Expected 3,282 paid rows, zero new zeros and `PASS_FROZEN_PAID_SINGLE_MONOMIAL_CERTIFICATES`. + +**Predecessor credit:** Ali Romman #5383/#5377; Cao Yifan #4610; Cinna Davis; zxv; Jacob Alan Sussman; Chris R / Clear1nsight #5241/#5384; Cinna Davis and ToikY termwise tensor argument; retained source notices. 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All **3,282 remaining positive paid inputs** have an explicit retained independent entry with coefficient equal to a nonzero rational times one invertible native operator word. This proves each row is nonzero as a map at every positive tensor width. The eight already published zero-retags remain separately counted and yield no additional saving. + +The bounded route is finished. The next construction question must change a named frozen premise. This result does not exclude a lower-rank implementation on a reachable subspace, alternative relations, changed pivots or preparation, a different word, or a different direction. It is no algorithmic impossibility or global optimum claim. + +## Exact source and scope + +The census authenticates every one of the 36 input bindings in capsule-v1, whose immutable manifest SHA256 is `ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8`. The compressed candidate word SHA256 is `7883ba0faefc96505bb61ca7312d588fa22dfe2164050c817c1718b8fa28693a`; decompressed payload SHA256 is `2aee5e997df99726fc763e510d9cb69fbe4f86114dc8d2cd33ad26c6c462a21d`. The root's exact overlap-clearance artifact is bound by hash in the receipt. No further remote source intake was performed. + +All eight equations, pivot columns, scalar preparations, owned snapshots, helper set, literal chronological events and native operators remain frozen. The replay initializes **624 retained independent input fields and 17 arbitrary owned entry fields**. It applies the literal scalar/COPY/CLEAR operations and reduced free-group native words, and checks all existing zero-retags, exact scalar and paid frames, retained endpoints and owned returns. It scans the remaining local backward paid jobs only; unchanged forward suppliers and separate controller query jobs are outside this local search. The later #5387 compiler/preparation-ordering delta is not substituted for the frozen source. + +## Per-row nonzero proof + +For a paid input row, group its collected exact rational/free-word terms by independent entry role. Each of the 3,282 rows has a selected retained entry role whose entire coefficient is a **single** term `q U`, with `q != 0`. The full row and the selected term are recorded at the exact literal event in `PAID-ROWS-v2.jsonl.gz` and summarized in `RESULT-v2.json`. + +Every generator is an invertible source native operator; the certificate checker also verifies rank nine of all 72 binary source maps. Consequently the evaluated word `U` is invertible, including the actual signed phase and any positive tensor power. Other input roles cannot cancel this coefficient because they remain arbitrary and independent. At each event separately, set all other retained and arbitrary owned entry fields to zero and set the selected entry to `U^{-1} e0`. The logical paid input is then exactly `q e0 != 0`. The physical source chart is invertible, so its physical representative is also nonzero. This witness establishes nonzero input, and makes no inference about the minimum rank required to act on that reachable input space. + +Tensor substitution is termwise: substitute the source tensor power for each generator and keep the rational scalar outside the tensor power. No tensor power is distributed over a sum. Selected certificate words have length zero in 2,934 rows and length one in 348 rows; 402 distinct retained entry roles suffice. None uses an owned pivot or a C field as its selected independent entry. + +This single-monomial argument closes the possible gap between a nonzero free polynomial and a nonzero actual-native specialization. No native relation search, Gaussian reconstruction, native emission, solver, Lean job or author-verifier import was used. The known #5369 producer/checker capsule arrived from the sole monitor after this stronger certificate was found; it was not imported or executed. + +## Counts, invoice and controls + +| Remaining paid rank | Local backward occurrences | +|---|---:| +| 1 | 2,193 | +| 2 | 412 | +| 3 | 510 | +| 4 | 127 | +| 5 | 40 | +| Total | 3,282 | + +There are zero remaining zero rows. The eight pre-existing `zero_retag` events are verified independently of this census and excluded from new savings. There is no new construction: the whole-invoice delta is zero paid jobs, zero productive targets, zero ordinary operations and zero owned slots. Worker02's independently derived #5383 invoice remains **64,148 paid / 10,800 productive / rank surplus 752**, consumed by hash rather than recomputed here. No new gauge or error cost is proposed because the literal word is unchanged. + +Flipping the first preparation ADD coefficient is rejected at the retained endpoint, with an exact residual coefficient recorded. A wrong-sign singleton certificate is rejected against the complete emitted row. The certificate checker separately reconciles every trace event, in order, with all positive paid events in the frozen literal word and validates the complete row hashes, reduced words, nonzero rational coefficients and retained-entry singleton property. The checker consumes the census rows and does not claim a second independent chronological derivation. + +The complete census plus preparation mutant took **2.865 seconds**, with peak reported RSS **48,972 KiB**, and peak **11,747 live free terms**. The separate certificate check took approximately half a second. Both are within the initial light budget; no heavy token was needed. + +## Reproduction and artifacts + +From the project workspace: + +```bash +timeout 55s python3 -B outputs/price-plane-swarm-20261024/07-frozen-zero/census.py +timeout 30s python3 -B outputs/price-plane-swarm-20261024/07-frozen-zero/check_certificates.py +``` + +Expected output is 3,282 paid rows, zero new zero rows, and `PASS_FROZEN_PAID_SINGLE_MONOMIAL_CERTIFICATES`. The authoritative result is `RESULT-v2.json` plus `CERTIFICATE-CHECK-v1.json` and `PAID-ROWS-v2.jsonl.gz`; `RESULT-v1.json` retains the preliminary free-word-only result and is superseded by the per-entry invertibility certificates. + +## Credit + +Ali Romman authored #5383 and its eight-relation construction. This bounded complementary census preserves Cao Yifan's #4610 source word, Cinna Davis's controller/helper lineage, zxv's cache/native/compiler/precision work, Jacob Alan Sussman's recursion, Chris R / Clear1nsight's #5241/#5384 independent admission, and all retained source notices. The termwise tensor argument preserves Cinna Davis and ToikY's credit. Prepared with substantial OpenAI Codex assistance. No external post, selected-record change, merge or closure was performed. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT-v2.json b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT-v2.json new file mode 100644 index 0000000000..6511fcdf78 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT-v2.json @@ -0,0 +1,119963 @@ +{ + "schema": "frozen5383-paid-zero-census/v2", + "candidate_head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "manifest_sha256": "ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8", + "word_sha256": "7883ba0faefc96505bb61ca7312d588fa22dfe2164050c817c1718b8fa28693a", + "word_payload_sha256": "2aee5e997df99726fc763e510d9cb69fbe4f86114dc8d2cd33ad26c6c462a21d", + "source_inputs": [ + { + "capsule_path": "provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/certificates/selected-result.json", + "sha256": 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"CLOSED_BY_INDEPENDENT_SINGLE_MONOMIAL_COEFFICIENT_IN_EVERY_PAID_ROW", + "nonzero_proof": { + "entry_coefficient": "For each row, the selected retained independent entry has exactly one reduced free word with rational coefficient q != 0; all other entries may be set to zero", + "native_specialization": "Every source native generator is invertible. A reduced word evaluates to an invertible operator U at every positive tensor width; q*U is nonzero", + "literal_counterexample": "At each row separately set the selected entry to U^{-1} e0 and every other independent and arbitrary owned entry to zero. The logical input row of the paid job is q e0 != 0", + "physical_gauge": "The exact source frame/chart is invertible. The corresponding physical paid input is also nonzero, including its unchanged absolute phase", + "tensor": "Evaluate words termwise with source tensor powers and keep q outside the tensor power; invertibility holds at every positive width", + "certificate_rows": 3282, + "selected_monomial_max_length": 1, + "does_not_establish": "No lower-rank obstruction, changed-preparation obstruction, global optimum, or algorithmic impossibility follows" + }, + "conclusion": "All 3282 remaining literal positive backward paid inputs are nonzero on the frozen 624-independent-plus-17-owned boundary at every positive width; no additional identity-on-zero deletion exists in this exact frozen word", + "row_trace": { + "file": "PAID-ROWS-v2.jsonl.gz", + "sha256": "9925040edc9a73ab58635fb45e0e395b3e8da092409e0eb4e3a3be5aa2ea7b4e", + "bytes": 282161 + }, + "runtime_seconds": 2.8646612070151605, + "max_rss_kib": 48972 +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT.json b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT.json new file mode 100644 index 0000000000..d9c1a18e77 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/RESULT.json @@ -0,0 +1,57 @@ +{ + "status": "STOP_NO_ADDITIONAL_LITERAL_ZERO_IN_FROZEN_BACKWARD_WORD", + "candidate_head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "new_paid_deletions": 0, + "existing_published_zero_retags": 8, + "nonzero_paid_rows": 3282, + "all_positive_tensor_widths": true, + "boundary": { + "retained_independent": 624, + "arbitrary_owned": 17 + }, + "authoritative_receipt": "RESULT-v2.json", + "proof": "Every paid row has an independent-entry coefficient equal to a nonzero rational times a single invertible native operator word", + "whole_invoice_delta": { + "paid": 0, + "productive": 0, + "ordinary": 0, + "owned_slots": 0 + }, + "artifacts": [ + { + "path": "RESULT-v2.json", + "sha256": "39e4220a88c2e34ccd5f11b9ba3e12fa3eb1ee1ec00ede97f1e79d23a3a0b715", + "bytes": 2240759 + }, + { + "path": "CERTIFICATE-CHECK-v1.json", + "sha256": "257af1fe9f74c779a77b48606fb8617299afb87d41ea40aa3db14518cad0da87", + "bytes": 692 + }, + { + "path": "PAID-ROWS-v2.jsonl.gz", + "sha256": "9925040edc9a73ab58635fb45e0e395b3e8da092409e0eb4e3a3be5aa2ea7b4e", + "bytes": 282161 + }, + { + "path": "census.py", + "sha256": "662aee4de772577d5db85cdfe3fd54544e5367500cac8a4112405409401a3d07", + "bytes": 10445 + }, + { + "path": "check_certificates.py", + "sha256": "9fc203dc9a76f3a92aa4ff1e8d9a6fee88f98efce55ef677daadb5b440bd8e10", + "bytes": 3683 + }, + { + "path": "REPORT.md", + "sha256": "2ccddc4988f917f7f0801391690094c5d93e685e34ef3b3fd83036ac8048a1fc", + "bytes": 6771 + }, + { + "path": "HANDOFF.md", + "sha256": "dc922058733f1cafc749621ae5c2a3d5e9d7b9694e88b382bbbdf39d173c9c78", + "bytes": 2234 + } + ] +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/census.py b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/census.py new file mode 100644 index 0000000000..ea3436d392 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/census.py @@ -0,0 +1,160 @@ +#!/usr/bin/env python3 +"""Frozen PR5383 paid-row census over Q[F_72]; no candidate code imports. + +This grammar proves zeros under every invertible-generator representation. +Nonzero free words alone do not establish actual-native nonzero specialization. +""" +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path +import gzip, hashlib, json, resource, time + +HERE=Path(__file__).resolve().parent +CAP=HERE.parent/'09-capsule-cold/capsule-v1' +WORD='snapshot/research/kappa-joint-relations-20261023/WORD.json.gz' +HEAD='4bd6efa51a495a7c7b7754915cf0244e7e60969e' +MANIFEST='ae6a1b933c386feabc9bab3300163df41e94bd3ddeeff973955695d33d5b11c8' + +def need(p,s): + if not p: raise ValueError(s) +def digest(b): return hashlib.sha256(b).hexdigest() +def encode(o): return json.dumps(o,sort_keys=True,separators=(',',':')).encode() +def merge(dst,k,q): + q+=dst.get(k,0) + if q: dst[k]=q + else: dst.pop(k,None) +def row_data(row): + return [[list(r),list(w),q.numerator,q.denominator] for (r,w),q in sorted(row.items())] +def row_record(index,e,role,row): + data=row_data(row) + groups=Counter(tuple(t[0]) for t in data) + singleton=next((t for t in data if groups[tuple(t[0])]==1),None) + return dict(event=index,literal=e,role=list(role),terms=len(data),row_sha256=digest(encode(data)), + free_word_nonzero=bool(data),minimal_coefficient=data[0] if data else None, + independent_monomial_certificate=singleton,row=data) + +def run(word,trace=None,mutate=False): + c=word['canonical']; pivots=sorted(int(p) for p in word['relation_basis']) + owned={('C',i) for i in range(9)}|{('L',p) for p in pivots} + roles={('L',i) for i in range(632)}|owned + state={r:{(r,()):Q(1)} for r in roles} + frames={('L',i):f for i,f in enumerate(c['start'])} + frames.update({('C',i):None for i in range(9)}) + paid=Counter(); rows=[]; zeros=[]; peak=641; changed=False + for index,event in enumerate(word['programs']['backward']): + kind=event[0] + if kind=='scalar': + g,frame=event[1:]; dst=tuple(g[1]) + if g[0]=='clear': + need(dst in owned,'clear only owned') + state[dst]={};frames[dst]=frame + else: + need(frames[dst]==frame,'scalar output frame') + if g[0]=='scale': state[dst]={k:q*Q(*g[2:]) for k,q in state[dst].items()} + else: + src=tuple(g[2]);need(src!=dst and frames[src]==frame,'scalar source frame') + if g[0]=='copy': + need(dst in owned and not state[dst],'COPY into cleared owned') + state[dst]=dict(state[src]) + else: + need(g[0]=='add','known ADD') + q=Q(*g[3:]) + if mutate and not changed: q=-q;changed=True + for k,a in tuple(state[src].items()): merge(state[dst],k,q*a) + elif kind=='warp': + _,r,op,old,new=event;dst=tuple(r) + need(frames[dst]==old,'warp input frame') + out={} + for (r,w),q in state[dst].items(): + nw=w[1:] if w and w[0]==-op else (op,)+w + merge(out,(r,nw),q) + state[dst]=out;frames[dst]=new + elif kind in ('climb','center'): + if kind=='climb': _,_,i,old,new,rank=event;dst=('L',i) + else: _,i,old,new,rank=event;dst=('C',i) + need(rank>0 and frames[dst]==old,'positive paid input frame') + need(rank==abs(len(c['frames'][new])-len(c['frames'][old])),'literal rank') + rec=row_record(index,event,dst,state[dst]);rows.append({k:v for k,v in rec.items() if k!='row'}) + witness=rec['independent_monomial_certificate'] + need(witness is not None,'each paid row has an uncancelled invertible monomial coefficient') + need(tuple(witness[0]) in roles-owned,'witness belongs to a retained independent input') + if trace: trace.write(encode(rec)+b'\n') + paid[rank]+=1;frames[dst]=new + elif kind=='zero_retag': + _,r,old,new=event;dst=tuple(r) + need(frames[dst]==old,'old zero frame') + if state[dst]: + return {'status':'REJECTED_NONZERO_EXISTING_ZERO_RETAG','event':index, + 'literal':event,'minimal_coefficient':row_data(state[dst])[0]} + zeros.append(dict(event=index,literal=event,terms=0,already_published=True)) + frames[dst]=new + else: need(kind in ('phase','adapter'),'declared inherited marker') + # The census is bounded by total live sparse terms, sampled every event. + peak=max(peak,sum(map(len,state.values()))) + need(len(roles-owned)==624 and len(owned)==17,'624 independent plus 17 arbitrary owned') + need(len(zeros)==8,'eight existing zeros not new savings') + need(all(not state[r] for r in owned),'owned returns erased') + for i in range(632): + r=('L',i) + need(frames[r]==c['final'][i],'retained final frame') + if r in owned: continue + want={(r,()):Q(1)} + if i<112:want[(('L',i+112),())]=Q(-1) + if state[r]!=want: + residual=dict(state[r]) + for k,q in want.items():merge(residual,k,-q) + return {'status':'REJECTED_RETAINED_ENDPOINT','role':list(r), + 'minimal_residual_coefficient':row_data(residual)[0]} + return dict(status='CENSUS_COMPLETE',orientation='backward',persistent_independent_columns=624, + arbitrary_owned_columns=17,paid_histogram=dict(sorted(paid.items())),paid_rows=len(rows), + zero_remaining_paid_rows=[r for r in rows if not r['free_word_nonzero']], + existing_zero_retags=zeros,rows=rows,peak_live_free_terms=peak) + +def main(): + start=time.monotonic(); raw_manifest=(CAP/'IMMUTABLE-MANIFEST.json').read_bytes() + need(digest(raw_manifest)==MANIFEST,'frozen immutable manifest') + manifest=json.loads(raw_manifest);need(manifest['candidate_head']==HEAD,'exact head') + checked=[] + for r in manifest['rows']: + raw=(CAP/r['capsule_path']).read_bytes() + need(digest(raw)==r['sha256'],'source SHA256') + need(hashlib.sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest()==r['git_blob'],'source blob') + checked.append({k:r[k] for k in ('capsule_path','sha256','git_blob','source_commit')}) + raw=(CAP/WORD).read_bytes(); payload=gzip.decompress(raw);word=json.loads(payload) + tracepath=HERE/'PAID-ROWS-v2.jsonl.gz' + with gzip.GzipFile(filename=str(tracepath),mode='wb',mtime=0) as trace: census=run(word,trace) + mutant=run(word,mutate=True) + need(mutant['status'] in ('REJECTED_NONZERO_EXISTING_ZERO_RETAG','REJECTED_RETAINED_ENDPOINT'),'preparation sign control rejects') + invoice=HERE.parent/'02-census/INVOICE-v1.json' + result=dict(schema='frozen5383-paid-zero-census/v2',candidate_head=HEAD,manifest_sha256=MANIFEST, + word_sha256=digest(raw),word_payload_sha256=digest(payload),source_inputs=checked, + census_engine_sha256=digest(Path(__file__).read_bytes()), + independent_whole_invoice={'path':str(invoice.relative_to(HERE.parent)), + 'sha256':digest(invoice.read_bytes()),'paid':64148,'productive':10800,'rank_surplus':752, + 'scope':'Consumed independent worker02 receipt, not recomputed by this zero-row census'}, + overlap_clearance_sha256=digest((HERE.parent.parent/'price-plane-swarm-plan-20261024/ROOT-5125-CLEARANCE.json').read_bytes()), + grammar={'coefficients':'exact rational','generators':'72 independent invertible symbols', + 'relations':'adjacent signed-generator inverse cancellation only', + 'field_rows':'linear combination of (entry role, reduced left operator word)', + 'tensor':'termwise generator substitution; rational coefficients outside tensor powers'}, + scope='Frozen backward local word only; no new relation, preparation, pivot, helper, word-order or forward-transpose search', + census=census,controls={'flipped_first_preparation_ADD':mutant}, + new_paid_deletions=0,whole_invoice_delta={'paid':0,'productive':0,'ordinary':0,'owned_slots':0}, + native_specialization_status='CLOSED_BY_INDEPENDENT_SINGLE_MONOMIAL_COEFFICIENT_IN_EVERY_PAID_ROW', + nonzero_proof={ + 'entry_coefficient':'For each row, the selected retained independent entry has exactly one reduced free word with rational coefficient q != 0; all other entries may be set to zero', + 'native_specialization':'Every source native generator is invertible. A reduced word evaluates to an invertible operator U at every positive tensor width; q*U is nonzero', + 'literal_counterexample':'At each row separately set the selected entry to U^{-1} e0 and every other independent and arbitrary owned entry to zero. The logical input row of the paid job is q e0 != 0', + 'physical_gauge':'The exact source frame/chart is invertible. The corresponding physical paid input is also nonzero, including its unchanged absolute phase', + 'tensor':'Evaluate words termwise with source tensor powers and keep q outside the tensor power; invertibility holds at every positive width', + 'certificate_rows':len(census['rows']), + 'selected_monomial_max_length':max(len(r['independent_monomial_certificate'][1]) for r in census['rows']), + 'does_not_establish':'No lower-rank obstruction, changed-preparation obstruction, global optimum, or algorithmic impossibility follows'}, + conclusion='All 3282 remaining literal positive backward paid inputs are nonzero on the frozen 624-independent-plus-17-owned boundary at every positive width; no additional identity-on-zero deletion exists in this exact frozen word', + row_trace={'file':tracepath.name,'sha256':digest(tracepath.read_bytes()),'bytes':tracepath.stat().st_size}, + runtime_seconds=time.monotonic()-start,max_rss_kib=resource.getrusage(resource.RUSAGE_SELF).ru_maxrss) + (HERE/'RESULT-v2.json').write_text(json.dumps(result,indent=2)+'\n') + print(json.dumps({k:result[k] for k in ('candidate_head','new_paid_deletions','native_specialization_status','runtime_seconds','max_rss_kib')})) + print(json.dumps({k:census[k] for k in ('paid_histogram','paid_rows','peak_live_free_terms','zero_remaining_paid_rows')})) + +if __name__=='__main__':main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/check_certificates.py b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/check_certificates.py new file mode 100644 index 0000000000..a84fdd3c22 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/07-frozen-zero/check_certificates.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Check each paid-row monomial certificate and its literal frozen event. + +This checks the emitted complete rows; census.py owns their chronological +derivation. No claim of independent row-derivation is made for this checker. +""" +from collections import Counter +from fractions import Fraction +from pathlib import Path +import gzip,hashlib,json + +P=Path(__file__).resolve().parent +def sha(b):return hashlib.sha256(b).hexdigest() +def need(p,s): + if not p:raise ValueError(s) +def rank(columns): + basis={} + for x in columns: + while x: + j=x.bit_length()-1 + if j in basis:x^=basis[j] + else:basis[j]=x;break + return len(basis) +def main(): + receipt=json.loads((P/'RESULT-v2.json').read_bytes()) + cap=P.parent/'09-capsule-cold/capsule-v1' + raw=(cap/'snapshot/research/kappa-joint-relations-20261023/WORD.json.gz').read_bytes() + need(sha(raw)==receipt['word_sha256'],'word hash') + word=json.loads(gzip.decompress(raw));pivots=set(map(int,word['relation_basis'])) + retained={('L',i) for i in range(632) if i not in pivots} + gens=word['canonical']['warps'] + need(len(gens)==72 and {g['op'] for g in gens}==set(range(1,73)),'72 native generators') + need(all(len(g['G_columns'])==9 and rank(g['G_columns'])==9 for g in gens),'invertible source binary maps') + expected=[(i,e) for i,e in enumerate(word['programs']['backward']) if e[0] in ('climb','center')] + trace=(P/receipt['row_trace']['file']).read_bytes();need(sha(trace)==receipt['row_trace']['sha256'],'trace hash') + records=[json.loads(line) for line in gzip.decompress(trace).splitlines()] + need([(r['event'],r['literal']) for r in records]==expected,'complete ordered literal paid-event census') + roles=set();hist=Counter();lengths=Counter();bad_control=False + for r in records: + row=r['row'];canonical=json.dumps(row,sort_keys=True,separators=(',',':')).encode() + need(sha(canonical)==r['row_sha256'],'row hash') + need(len(row)==r['terms'],'term count') + keys=[(tuple(t[0]),tuple(t[1])) for t in row] + need(len(set(keys))==len(keys),'collected distinct free monomials') + need(all(Fraction(t[2],t[3]) for t in row),'all coefficients nonzero') + need(all(all(1<=abs(g)<=72 for g in t[1]) and all(a!=-b for a,b in zip(t[1],t[1][1:])) for t in row),'reduced known generator words') + w=r['independent_monomial_certificate'];role=tuple(w[0]) + same=[t for t in row if tuple(t[0])==role] + need(same==[w] and role in retained,'selected coefficient is exactly one invertible monomial on an independent retained input') + hist[r['literal'][-1]]+=1;roles.add(role);lengths[len(w[1])]+=1 + # A fabricated certificate with opposite rational coefficient must fail. + mutated=[*w[:2],-w[2],w[3]] + need(same!=[mutated],'wrong-sign certificate rejected');bad_control=True + out=dict(status='PASS_FROZEN_PAID_SINGLE_MONOMIAL_CERTIFICATES', + source_receipt_sha256=sha((P/'RESULT-v2.json').read_bytes()), + checker_sha256=sha(Path(__file__).read_bytes()), + checked_paid_rows=len(records),paid_histogram=dict(sorted(hist.items())), + selected_retained_entry_roles=len(roles),selected_word_lengths=dict(sorted(lengths.items())), + invertible_binary_source_generators=72,wrong_sign_certificate_control=bad_control, + logical_scope='All positive tensor widths through nonzero scalar times invertible monomial coefficient; no lower-rank claim') + (P/'CERTIFICATE-CHECK-v1.json').write_text(json.dumps(out,indent=2)+'\n') + print(json.dumps(out)) +if __name__=='__main__':main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/IMMUTABLE-MANIFEST.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/IMMUTABLE-MANIFEST.json new file mode 100644 index 0000000000..269577d5fd --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/IMMUTABLE-MANIFEST.json @@ -0,0 +1,426 @@ +{ + "schema": 1, + "immutable_version": "capsule-v1", + "candidate_head": "4bd6efa51a495a7c7b7754915cf0244e7e60969e", + "canonical_main": "1ec1119972c9aefe42525172d07b332fcff81cb4", + "package": "research/kappa-joint-relations-20261023", 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Uniform words are not materialized.", + "previous_kappa": "60403/20000000", + "previous_record": "certificates/checkpoints/frontier4470.json", + "audited_source_head": "20bb93cd990d2ff683e4d0fc56b87a42cd5d3296", + "source_certificate": "research/kappa-round6-compiler-tightening-20261022/ARITHMETIC.json", + "source_certificate_sha256": "b4f720a7ccbb5b46e472eaf85dc8739a40598986f19b37d26c4f9ecfbd31f0de", + "replay_mode": "Fresh complete independent admission replay; source-bound preceding controller, ordinary BIT and physical/compiler foundation reuse", + "contributors": "docs/research/community-native4610-contributors.md", + "assumptions": [ + { + "id": "native_all_columns", + "statement": "Retained native operators, phase conventions, spectators and whole-job adapters work at every positive column multiplicity." + }, + { + "id": "owned_erasure", + "statement": "Owned streams and suspended centers obey the retained allocation, erasure and ownership contracts." + }, + { + "id": "compiler", + "statement": "The finite mixed-target compiler and chronological product, completion and splitting satisfy the retained uniform closure contract." + }, + { + "id": "precision_tape", + "statement": "Retained fixed-tape movement and precision/storage prescriptions apply to the new fixed finite template." + }, + { + "id": "analytic_recovery", + "statement": "Analytic decomposition, fine-prime avoidance and exact integer recovery follow the retained upstream/outer framework." + } + ], + "audit_pr": 5241, + "audit_head": "13efb5fc5f3b7c14ec2cfa181dd9eb6480972cf2" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/docs/research/agent-task-catalog.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/docs/research/agent-task-catalog.json new file mode 100644 index 0000000000..f126dd2e2d --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/docs/research/agent-task-catalog.json @@ -0,0 +1,1242 @@ +{ + "schema_version": 1, + "priority_revision": 7, + "priority_log": "docs/research/research-priority-log.md", + "assessed_on": "2026-10-20", + "status": "Research suggestions, not reservations or assertions that these questions are unclaimed. Check current main and live PRs.", + "tracks": [ + { + "id": "bit-mechanisms", + "weight": 20, + "tasks": [ + { + "id": "bit-helper-contract", + "question": "Can one precisely specified helper-mixing word satisfy a replacement for the inherited H2/K interface?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/r439-bsection-stars-seed01/README.md", + "research/r439-copy-path-sharing-barrier/README.md" + ], + "methods": [ + "Derive a replacement interface lemma and price its implementation.", + "Seek an exact dirty-input or chronological-cut counterexample to the proposed replacement." + ], + "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", + "research/r439-bsection-stars-seed01/verify.py" + ], + "expected": "PASS_R439_BSECTION_STARS", + "inspect": "Compare the two false H2/K flags with the unchanged paid profile in its README.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Write one replacement H2/K implication for a single helper-star operation, then try to falsify it on dirty inputs.", + "bottleneck_link": "A legitimate replacement could admit a cheaper bit circuit; scalar savings alone do not alter the selected moment.", + "allowed_variations": [ + "Choose one helper-star or quartet instance; narrow to one boundary implication." + ], + "scope_change_triggers": [ + "Changing only source count or scalar addition count without an interface argument." + ], + "overlap_terms": [ + "H2_D_frame0_targets_from_helpers", + "K_equals_D", + "helper-star" + ] + }, + { + "id": "bit-new-register-model", + "question": "Can an explicitly larger or nonabelian register model escape the scoped three-register obstruction?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/bit-three-register-lower-bound/README.md", + "certificates/selected-result.json", + "research/bit-gl3-mixed-targets-length10/README.md", + "docs/research/community-efficient1000-review.md" + ], + "methods": [ + "Construct the smallest exact identity in a newly specified legal operation alphabet.", + "Derive a target-specific relaxation bound for that same explicit alphabet." + ], + "acceptance_gate": "Name the changed hypothesis, all counted roles and a uniform identity; finite column tests alone do not certify it. 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_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read Model section 1 of the three-register bound and identify the exact excluded free operations.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "First compare the alphabet, role count and length with the fully replayed #1974 census and #2027 mixed-root tariff. Identify a changed premise and a legal native implementation; then price one smallest completed instance before searching larger words.", + "bottleneck_link": "A small-width completed saving changes the bit primitive; a finite-address identity alone is insufficient.", + "allowed_variations": [ + "Choose a fixed larger register count or a specified nonabelian operation family." + ], + "scope_change_triggers": [ + "Remaining inside the already-excluded three-register abelian model.", + "Repeating the two-register GL3 census or a covered three-register length without changing a hypothesis; a formal group-algebra word without native conversion is a partial result." + ], + "overlap_terms": [ + "three-register", + "nonabelian", + "group algebra" + ] + }, + { + "id": "r437-carrier-integration", + "question": "Can the paid R437 two-window carrier improvement be admitted by the actual pooled compiler and physical caller?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/r437-two-window-carrier/README.md", + "research/r437-reverse-row-coefficient/README.md" + ], + "methods": [ + "Close one compiler/request, caller or precision/stock implication for the pinned paid exchange.", + "Falsify that exact interface with an arbitrary-dirty-state or chronology counterexample." + ], + "acceptance_gate": "Pin the complete source and destination contracts, exact paid and scalar deltas, and all remaining assumptions. A local moment gain is not a physical or all-size supplier admission.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4067 paid profile and open integration obligations; #4147 covers the reverse row coefficient. Three additional ADDs per call and all helpers remain charged. This is not a selected supplier.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Choose one unclaimed obligation: pooled compiler codebook/request alignment, actual physical caller, or precision/stock envelope using the already reported reverse coefficient. Pin the input and receiver, preserve dirty/source windows, and test one binding with a rejection control. Stop at unresolved dependencies; do not rederive the coefficient or quote the local moment as a completed bound.", + "bottleneck_link": "The exchange changes the paid profile; integration must establish that its gain survives the complete caller.", + "allowed_variations": [ + "One compiler rebind, one actual caller boundary, or one precision/stock implication." + ], + "scope_change_triggers": [ + "Ignoring added ADDs, retaining an obsolete reverse coefficient, or declaring global admission from the local histogram." + ], + "overlap_terms": [ + "R437", + "two-window carrier", + "4067", + "4147", + "pooled compiler", + "request alignment", + "reverse row coefficient" + ], + "existing_checks": [ + { + "scope": "PR #4067: source-bound two-window carrier with (2,2) to (1,3) paid exchange and fixed OQ4 host.", + "evidence": "research/r437-two-window-carrier/README.md", + "remaining": "Pooled compiler/request rebind, physical caller and precision/stock admission.", + "status": "author-checked", + "source_commit": "a95f11c52e3ca1e4c5171b3c20d8f4b0815aee2e", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4147: reverse row coefficient follow-up.", + "evidence": "research/r437-reverse-row-coefficient/README.md", + "remaining": "Use the exact coefficient in a caller-bound precision/stock proof rather than repeat the arithmetic.", + "status": "author-checked", + "source_commit": "72e7bb797adf82aeb525a399f56ab8adbab8e93c", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + } + ] + }, + { + "id": "complex-mechanisms", + "weight": 20, + "tasks": [ + { + "id": "p104-side-correction", + "question": "Can a changed P104 producer/consumer contract escape the scoped slot, chart and completion obstructions with a favorable full bill?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/p104-literal-slot-defect/README.md", + "research/p104-uniform-commutation-gap/README.md", + "research/p104-uniform-encoding-gap/README.md", + "research/p104-source-chart-shortcut/README.md", + "research/p104-fiber-tag-seam/README.md" + ], + "methods": [ + "Construct one side-correction word at an explicit chronological cut with the needed frames still available.", + "Derive a lower bound on the side correction and hosting costs that decides whether this channel can beat the selected budget." + ], + "acceptance_gate": "An exact arbitrary-input identity, source/target frame availability and restoration at the chosen cut, plus the complete channel+correction+idle/hosting bill or an explicit favorable bound. The native channel alone is not a supplier. 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_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the named successor obstructions before extending #2981 static flags. Distinguish literal-slot action, commutation, uniform encoding, source-chart shortcut and fiber-tag seam scopes; none excludes all P104 mechanisms.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Name one hypothesis changed from these exact interfaces. Write a literal producer-to-consumer timeline and an arbitrary-dirty-input positive/control pair, then charge acquisition, coefficients, completion, hosting and restoration. Stop if the same slot/fiber mismatch persists or the favorable full budget already fails. A scoped independent audit remains useful; another static count is not a new completion.", + "bottleneck_link": "Completing an already realized changed channel tests a concrete construction opportunity, instead of refining the incumbent packing. A positive local result still needs global and all-size admission.", + "allowed_variations": [ + "One correction factorization, one chronological cut, or one explicit hosting obstruction.", + "A changed correction schedule with an updated full bill and native frame contract." + ], + "scope_change_triggers": [ + "Recompiling the already certified low-rank channel without closing a new obligation.", + "Treating a pending ancestor, local histogram or unpriced side correction as an admitted global supplier.", + "Repeating a correction or physical conversion already supplied by a pending follow-up without adding independent coverage or a different unresolved obligation.", + "Repeating the 208-flag static matching or calling a static nested cover a chronological correction program. Independent audit of that certificate is distinct and remains useful.", + "Repeating a static cover, source-chart shortcut or fiber-tag seam without changing the hypothesis responsible for its obstruction." + ], + "overlap_terms": [ + "P104", + "I-G/2", + "side correction", + "native channel", + "1972", + "1991", + "2586", + "endpoint transport", + "physical dual", + "relay composition", + "2981", + "joint unit flags", + "acquisition delivery", + "static nesting", + "4133", + "4136", + "4140", + "4153", + "4154", + "p104-literal-slot-defect", + "p104-uniform-commutation-gap", + "p104-uniform-encoding-gap", + "p104-source-chart-shortcut", + "p104-fiber-tag-seam" + ], + "existing_checks": [ + { + "scope": "PR #4133: literal-slot defect", + "evidence": "research/p104-literal-slot-defect/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "88666f1dee93fbd85b31fd5d6f91a219e111b5f4", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4136: uniform commutation gap", + "evidence": "research/p104-uniform-commutation-gap/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "281ce601a8be9db470de630759179c23e1dfaa88", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4140: uniform encoding gap", + "evidence": "research/p104-uniform-encoding-gap/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "de25c6525aa866962309df5d107b32d55e6e5628", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4153: source-chart shortcut exhausts its optimistic allowance", + "evidence": "research/p104-source-chart-shortcut/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "9123241fea53df77e51ffe30d9aca1625d4bf3a8", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4154: fiber-tag seam mismatch", + "evidence": "research/p104-fiber-tag-seam/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "4ffcdaee5d6255a9cea1fe53a5424435068089d0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "complex-rank-shape-decoder", + "question": "Can a decoder deliver the local paid mass in fewer, larger-rank children (block frame climbs instead of rank-1 to rank-3 steps)?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/complex-decoder-field-extension-seed44/README.md", + "research/complex-frame-pair-decoders/README.md", + "research/selected-k8-unrestricted-ends/README.md", + "research/eisenstein-reduction-copy-floor/README.md" + ], + "methods": [ + "Find one exact small decoding identity whose frame path climbs in blocks, and price its complete per-call profile.", + "Bound the best effective child rank achievable for one fixed support alphabet, including copies, frames and restoration." + ], + "acceptance_gate": "A per-call local profile, with all copied information, frames and restoration counted, whose ceiling exceeds the selected word's by at least 5%; masked or overcomplete supports must change an assumption of the eight-term all-pairs bound. 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin. Ideal budget: rank-16 delivery is 2.31x (levers.py).", + "bottleneck_link": "Rank-1 children are about half of recursive cost; the selected word's effective child rank is about 3.9. Larger-rank delivery lowers recursive cost per unit of paid mass.", + "allowed_variations": [ + "One masked, overcomplete or block decoder family with exact labels and supports.", + "A scoped lower bound on effective rank for one alphabet.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Repacking idle remainders of an unchanged word (covered by the packing ceiling).", + "Repeating the eight-term all-pairs search inside its proved scope.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Searching below C=40 in the #2017 Eisenstein binary scalar-rectangle or fixed-support block-linear additive pairing model; specify a changed premise instead. This bound does not cover every complex decoder.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "rank shape", + "block climb", + "masked decoder", + "overcomplete", + "effective rank" + ] + }, + { + "id": "complex-new-helper-inventory", + "question": "Can a new local cost interface change the deficit-to-recursive-cost ratio beyond current packing?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/heterogeneous-owner-assembly/README.md", + "certificates/selected-result.json", + "research/selected-k8-unrestricted-ends/README.md" + ], + "methods": [ + "Propose a changed helper inventory and derive an optimistic exact moment.", + "Design a small completed instance and independently verify its endpoint and rank bill." + ], + "acceptance_gate": "A new physically realizable contract outside the frozen catalogue whose per-call profile, screened with ceiling.ceiling(), beats the selected word's packing ceiling; a lower cap does not establish identical circuitry or order attainable optima, and is insufficient to pass the stronger-budget target under this model. 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin.", + "bottleneck_link": "Packing of the selected word is capped at +0.87% (ceiling model); only a lower local excess spend or a changed coverage law raises the cap.", + "allowed_variations": [ + "Narrow to one changed boundary or helper type with explicit counts.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Mixing only providers already inside the pinned catalogue.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "helper inventory", + "heterogeneous-owner", + "mutable leaver" + ] + } + ] + }, + { + "id": "recursive-interfaces", + "weight": 20, + "tasks": [ + { + "id": "joint-query-controller", + "question": "Can the installed QQ16 caller win a complete matched protocol bill, or can a changed demand eliminate actual paid work?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/qq16-caller-install/README.md" + ], + "methods": [ + "Derive the matched whole-caller physical bill for installed and baseline protocols.", + "Change the actual demanded observations and prove a cheaper legal producer/consumer contract." + ], + "acceptance_gate": "Name the changed premise of the fixed F0/B1 observation obstruction. Show exactly which query is recovered, legal native reads and restoration, and a full favorable budget including cover maps, helpers and endpoints. Local inverse identities alone do not close the global controller. 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_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4166 COST.md and ADMISSION.json. An actual caller connection is now proposed. Its native-component profile loses; parent park/restore versus external-call costs remain unresolved. Retain the producer and recovery lineage rather than rebuild it.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "At the actual installed cut, compare matched complete parent park/restore and external input/return protocols at the same bank/packet geometry, including every later root call and service cost. Alternatively pin both bridge observations and derive a genuinely smaller source-compatible demand. Stop if the complete necessary inequality fails or an essential cost is unknown; no larger decoder scan from a local tape-action saving.", + "bottleneck_link": "The native local words exist; retained query information and its physical access are the missing link to a composed recursive interface.", + "allowed_variations": [ + "One paid query, one changed first pair, or one precisely specified affine helper state.", + "A counterexample or lower bound for that exact proposed repair.", + "One unresolved obligation of a newer local decoder, with exact source heads and a distinct claim/domain." + ], + "scope_change_triggers": [ + "Retaining the fixed first pair and ordinary schedule while allowing only homogeneous selected-only control, already excluded by the witness.", + "Treating cover-map counts as zero-cost physical address operations.", + "Recreating the pending complete local decoder or early-record/output-bank coalescing already under investigation without a distinct audit or changed premise.", + "Treating a completed-output defect inequality as a producer-interior, dirty-range or physical-cost certificate.", + "Recreating completed-output recovery or caller wiring already supplied by #4166 without new independent coverage.", + "Dropping retained later root calls or claiming native-profile dominance from the isolated publication saving." + ], + "overlap_terms": [ + "QQ16", + "joint-query", + "changing-chart controller", + "selected observation", + "1969", + "2540", + "early record", + "output-bank retention", + "complete native decoder", + "2965", + "producer defect", + "dirty-helper range", + "F17 consumer", + "4166", + "qq16-caller-install" + ], + "existing_checks": [ + { + "scope": "PR #4166: author-checked installed producer/service/return/bridge connection; native-component comparison loses.", + "evidence": "research/qq16-caller-install/README.md", + "remaining": "Complete matched physical protocol bill, or changed source-compatible demand/circuit; no affordable supplier yet.", + "status": "author-checked", + "source_commit": "0b082d22a0e9a442d264ab0633e35ef26c790630", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "centre-path-sharing", + "question": "Can the 64-per-call centre path (eight rank-8 COPY/ERASE totals through the private temporary) be shared across calls or shrunk?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/split-centres-global/proofs/PR386-BIT-GEOMETRY.txt", + "certificates/selected-result.json" + ], + "methods": [ + "Derive a fully charged favorable relaxation for sharing one centre path across k calls, including restoration, hosting and precision.", + "Prove a lower bound on copied information per call for the selected decoder contract." + ], + "acceptance_gate": "Show the changed centre charge and copy profile per call with every added restoration or hosting cost charged, and its ceiling via ceiling.ceiling(centre=...). 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Write the per-call centre charge and copy children for sharing across k = 2 calls, charge the sharing overhead, and screen it; stop this route if even the ideal sharing gains under 10%. Ideal budgets: free 2.80x, shared by two 1.90x (levers.py).", + "bottleneck_link": "The centre path consumes 64 of about 99.6 unpaid coordinates per call, i.e. about 64% of the raw deficit.", + "allowed_variations": [ + "One sharing pattern across a fixed number of calls.", + "One reduced copied-total contract for the existing decoder.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Removing copies without a replacement contract for the decoder's copied totals.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "centre path", + "copied totals", + "private temporary", + "shared centre", + "batching" + ] + }, + { + "id": "coverage-law-change", + "question": "Can a template or call contract leave two or more unpaid coordinates per live family?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/idle-axis-hosting/PROOF.md", + "certificates/selected-result.json" + ], + "methods": [ + "State a replacement for the coverage identity (mass = 72W + 64N) and the contract change that realizes it, with its implementation cost.", + "Find an obstruction: show which data-endpoint obligation forces exactly one unpaid coordinate in the current template." + ], + "acceptance_gate": "An explicit replacement identity, verified on a small complete instance with dirty inputs, priced with ceiling.ceiling(unpaid=...). 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Explain where the single unpaid coordinate per family comes from in the hosted template; propose one change and price it. Ideal budget: two unpaid coordinates per family is 3.77x (levers.py).", + "bottleneck_link": "The deficit is one coordinate per family minus the centre charge; doubling unpaid coordinates per family scales it directly.", + "allowed_variations": [ + "One template change or one endpoint-contract change.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Counting a coordinate as unpaid while leaving it unadvanced in the data endpoint.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "coverage identity", + "unpaid coordinate", + "deficit law", + "W - 64N" + ] + }, + { + "id": "connector-alphabet-change", + "question": "Does one explicit extension of the connector alphabet offer a favorable completed budget?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/universal-connector-boundary/README.md", + "certificates/selected-result.json" + ], + "methods": [ + "Construct and charge a legal extra operation on a minimal instance.", + "Prove a target-specific bound after adding one specified operation family." + ], + "acceptance_gate": "State which fixed-alphabet premise changes and charge its implementation; do not declare it free. 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", + "research/universal-connector-boundary/verify.py" + ], + "expected": "PASS_UNIVERSAL_CONNECTOR_BOUNDARY", + "inspect": "Reproduce the 945-pairing control, then read Exact interface to list the allowed calls.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Add exactly one legally priced operation and test a tiny dirty-input instance before enumerating larger cases.", + "bottleneck_link": "A new legal connector operation could change recursive interface cost; a larger census in the same alphabet is a separate side result.", + "allowed_variations": [ + "Choose one additional operation and a small source count for its first counterexample." + ], + "scope_change_triggers": [ + "Keeping the alphabet and only increasing the source count; record this as a changed assignment.", + "Extending a source-count census without naming a supplier/interface decision it could change; audit #2973 pruning concerns before relying on the affected predecessor exclusions." + ], + "overlap_terms": [ + "universal connector", + "source-toggle", + "connector alphabet" + ] + } + ] + }, + { + "id": "adversarial-audit", + "weight": 15, + "tasks": [ + { + "id": "selected-stock-envelope", + "question": "What explicit uniform stock envelope does the actual selected stopped producer supply at one bootstrap stage?", + "starting_points": [ + "research/selected-bootstrap-stock-audit/README.md", + "research/bootstrap-cutoff-time-space-split/README.md", + "certificates/selected-result.json", + "docs/research/community-efficient1000-review.md", + "research/stock-margin-chain/README.md" + ], + "methods": [ + "Derive a source-bound reserve recurrence at the actual selected atom widths, separating parent stock from completed inner borrowing.", + "Find an exact missing implication or counterexample to a proposed selected-stage stock envelope." + ], + "acceptance_gate": "Bind every coefficient and depth factor to the selected producer and state the width domain. Compare a proved envelope with the sufficient cutoff guard; a large numerical headroom or a historical m=120 coefficient is not a selected m=73 proof.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #2972 stock-margin chain and the selected stock audit. The new source archive reports the remaining cutoff comparisons, but leaves every actual stock coefficient unresolved; it is not an independently validated reserve envelope.", + "scope": "Source-bound orientation only. Read the named package and review before relying on its local evidence; this command is not its replay or supplier admission." + }, + "first_experiment": "Choose one actual selected producer/stage and derive its parent reserve and depth coefficient from source. Check whether newer handoffs already cover that exact obligation. Stop with the missing implementation lemma if it cannot be bounded; do not rerun #2972 cutoff/headroom arithmetic as a new contribution.", + "bottleneck_link": "This reduces a concrete inherited implementation obligation without confusing unchanged kappa arithmetic with a completed theorem.", + "allowed_variations": [ + "One stage or one explicit reserve/depth implication.", + "An independently checked same-domain proof repair, retaining all remaining assumptions." + ], + "scope_change_triggers": [ + "Importing the historical 57604 or 252 allowance without a selected-producer binding.", + "Calling a conditional fit lemma a full outer-proof adoption.", + "Replacing an actual selected stock coefficient with cutoff comparisons or a conditional fit inequality." + ], + "overlap_terms": [ + "selected stock", + "stock envelope", + "bootstrap cutoff", + "1956", + "1965", + "1990", + "2972", + "stock-margin-chain", + "actual_stock_coefficient" + ], + "existing_checks": [ + { + "scope": "Retained stock audit identifies missing actual selected-stage coefficients; later cutoff-chain arithmetic does not supply them.", + "evidence": "docs/research/research-family-status.md#revision-6-handoffs-source-archives-awaiting-independent-validation", + "remaining": "Derive one actual reserve/depth coefficient from the selected producer.", + "status": "reviewed", + "source_commit": "836b19bfa309ceafbc8ee32a15e8c4b10dde7e11", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "supplier-boundary-audit", + "question": "Can the #4088 four-provider dispatch satisfy the complete ordinary/outer admission contract?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged544-mixed-fourth-entry/README.md", + "research/scatter-boundary-decision/README.md" + ], + "methods": [ + "Trace one hypothesis through the source, checker and complete caller.", + "Construct one semantically invalid but superficially well-formed fixture and test rejection." + ], + "acceptance_gate": "Pin the current sources and one obligation; the historical owner audit is an example, not evidence of a current bug.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4088 Scope and Open next questions: local words, native receipts and literal fill do not include a rerun of the mixed four-provider ordinary/outer engine. #3801 is the newer scatter-boundary decision; do not restart #2977 as if untouched.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Pin the provider registry, four native source closures and dispatch. Make a bounded acceptance coverage map or one registry adapter preserving every inherited admission predicate and rejection control (including an omitted fourth provider). Record remaining ordinary/outer obligations and a resource estimate before heavy execution. Stop at unresolved source/caller dependencies; no selected-result promotion from a local pass.", + "bottleneck_link": "Closing a current acceptance gap or proof obligation strengthens reliability even without changing kappa.", + "allowed_variations": [ + "One provider-registry, dispatch, native-closure or admission-predicate obligation; separate branches must name distinct coverage." + ], + "scope_change_triggers": [ + "Reporting the historical timing-only diagnostic as a new current acceptance bug.", + "Calling a malformed mutant a failure of the selected construction, or importing an opt-in repair without testing the exporter boundary.", + "Running another root enclosure instead of validating dispatch or weakening an inherited predicate to make mixed admission pass." + ], + "overlap_terms": [ + "owner boundary", + "bridge omission", + "hosting", + "2977", + "scatter export", + "duplicate index", + "parity semantics", + "4088", + "3801", + "staged544-mixed-fourth-entry", + "scatter-boundary-decision" + ], + "existing_checks": [ + { + "scope": "PR #4088: author-checked local words, native receipts, owner/phase fill and exact moment.", + "evidence": "research/staged544-mixed-fourth-entry/README.md", + "remaining": "Rebind and validate ordinary/outer admission with all four providers; full mixed release not established.", + "status": "author-checked", + "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #3801: successor scatter-boundary decision package.", + "evidence": "research/scatter-boundary-decision/README.md", + "remaining": "Consult its exact acceptance scope before any new exporter audit; not proof of a selected failure.", + "status": "author-checked", + "source_commit": "911f8800ba7a4b03603ef62c5ffc6240e53cb5fd", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "uniform-transfer-audit", + "question": "Does one quantified step of the proposed #4100 all-size construction hold at its actual caller?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/unconditional-batched-crt/README.md" + ], + "methods": [ + "Prove one missing implication with explicit quantified hypotheses.", + "Find an exact counterexample at the claimed interface boundary." + ], + "acceptance_gate": "Identify the proposition and what would change downstream; do not equate a finite replay with a universal proof.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read PROOF.md and AUDIT.md in #4100. Select one distinct obligation: CRT total repair, native/free-algebra lifting, precision/conditioning, or complete fixed-tape cost. This is an author-submitted proof, not an accepted unconditional theorem.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Check live handoffs; name one proposition, its caller, quantified domain and dependency closure. Independently prove the implication or exhibit a precise gap/counterexample. Prioritize CRT.md total repair or COMPLEX.md free-algebra lift only if unclaimed. Stop at the chosen obligation; do not substitute finite samples or root arithmetic for an all-size proof, or launch the complete package by default.", + "bottleneck_link": "Finite supplier improvements are useful only under the retained transfer obligations.", + "allowed_variations": [ + "One CRT repair, native lift, precision/conditioning or tape-cost proposition, with its exact caller." + ], + "scope_change_triggers": [ + "Replacing a quantified obligation with another finite smoke test.", + "Treating archive intake, an author PASS receipt or a finite composed fixture as discharge of the universal hypotheses." + ], + "overlap_terms": [ + "uniform transfer", + "all-size", + "precision", + "4100", + "unconditional-batched-crt" + ], + "existing_checks": [ + { + "scope": "PR #4100: proposed unconditional construction and finite checks, without independent acceptance.", + "evidence": "research/unconditional-batched-crt/README.md", + "remaining": "Independent proof audit of one caller-bound all-size implication; all other premises remain explicit.", + "status": "author-checked", + "source_commit": "337d04939571a637aeab54a0f58f54fde811663a", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "census-pruning-audit", + "question": "Does the reported word-census parity-pruning error invalidate a specific exclusion we still rely on, and what bounded repair is justified?", + "starting_points": [ + "research/f7-weight-parity-census-correction/README.md", + "docs/research/research-family-status.md" + ], + "methods": [ + "Independently reconstruct the tiny counterexample and trace one affected exclusion to its exact pruning code.", + "Compare corrected and unpruned enumeration on a small exhaustive domain, then audit the changed pruning implication." + ], + "acceptance_gate": "Pin the old and proposed corrected engines, distinguish a disproved pruning rule from a disproved final bound, and state exactly which downstream exclusions need revalidation. #2973 is an author-checked source archive; neither its new f(7) claim nor all old conclusions are automatically accepted or rejected.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #2973 error description and MATH.md; manually reconstruct the prefix states of 01021323 before running any large census.", + "scope": "Source-binding orientation only; no full enumeration or mathematical validation." + }, + "first_experiment": "Reconstruct the eight prefix states of 01021323 and compare bit-0 versus Hamming-weight parity budgets independently. Trace the reported false prune to one pinned predecessor (#2542, #2634 or #2691), then test a small exhaustive domain. Stop after a source-impact handoff or corrected-prune proof; a full seven-label replay needs a separate resource budget and a named research decision it can change.", + "bottleneck_link": "An unsound exclusion can wrongly close a mechanism; correcting its dependency boundary is more useful than extending the same census.", + "allowed_variations": [ + "One predecessor pruning rule, one independently exhaustive small domain, or one downstream dependency audit." + ], + "scope_change_triggers": [ + "Launching a larger census before validating the prune and explaining which active decision it changes.", + "Treating a small-domain counterexample to the old rule as a counterexample to every reported seven-label bound." + ], + "overlap_terms": [ + "2973", + "2542", + "2634", + "2691", + "weight parity", + "bit-0", + "01021323", + "census pruning" + ] + } + ] + }, + { + "id": "independent-verification", + "weight": 10, + "tasks": [ + { + "id": "independent-moment", + "question": "Does a new paid-profile or mixture-ceiling claim have independent source-bound coverage of its actual changed ledger?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged544-mixed-fourth-entry/README.md", + "research/staged-fourth-mixture-ceiling/README.md", + "research/r437-two-window-carrier/README.md" + ], + "methods": [ + "Independently reconstruct one changed paid ledger or pooled dual with exact source and model binding.", + "Check a genuinely uncovered moment implication with a different enclosure method and semantic controls." + ], + "acceptance_gate": "Demonstrate independence, source binding, positive cases and semantic failure controls. Name the existing checks and the missing coverage. More digits or another equivalent evaluation of an unchanged root is not by itself new verification coverage.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Choose one uncovered implication in #4088 literal mixed fill, #4091 pooled dual/model binding or #4067 changed frame/host bill. #4091 pins an earlier #4088 head: validate word, capacity and stock equivalence before applying that ceiling to the later fill.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Independently reconstruct one changed ledger or pooled certificate with a positive case and a semantic failure control. Compare exact sources and name what existing checks miss. Keep this separate from supplier-boundary-audit (ordinary/outer dispatch) and uniform-transfer-audit (all-size proof). Stop after the chosen implication; more digits of an unchanged root are not additional mechanism coverage.", + "bottleneck_link": "Independent pricing prevents unsupported frontier claims and can reveal genuine accounting slack.", + "allowed_variations": [ + "Reconstruct either a source ledger or a numeric enclosure with a different method." + ], + "scope_change_triggers": [ + "Importing the primary function and calling its output independent verification.", + "Calling an aggregate histogram or source archive an independently accepted physical supplier." + ], + "overlap_terms": [ + "independent moment", + "rank histogram", + "exact enclosure", + "2979", + "rank7 joint endframes", + "paired extraction", + "joint lowering", + "4088", + "4091", + "4067", + "staged544-mixed-fourth-entry", + "staged-fourth-mixture-ceiling", + "r437-two-window-carrier" + ], + "existing_checks": [ + { + "scope": "PR #4088: mixed local/owner/phase ledger and moment reported.", + "evidence": "research/staged544-mixed-fourth-entry/README.md", + "remaining": "Independent binding of changed construction to paid histogram, distinct from full admission.", + "status": "author-checked", + "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4091: sharp pooled ceiling proposed for fixed THREE/FOUR words and inventory.", + "evidence": "research/staged-fourth-mixture-ceiling/README.md", + "remaining": "Validate dual, exhaustive pattern scope and exact source equivalence before applying to newer fills.", + "status": "author-checked", + "source_commit": "a29bdd8f56cd18b805917775cdec09ff935eddc4", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4067: paid (2,2) to (1,3) exchange and fixed OQ4 host reported.", + "evidence": "research/r437-two-window-carrier/README.md", + "remaining": "Independent full cost delta; remaining caller/precision/stock obligations are separate.", + "status": "author-checked", + "source_commit": "a95f11c52e3ca1e4c5171b3c20d8f4b0815aee2e", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "formal-interface-lemma", + "question": "Can one uncovered interface implication be formalized with exact caller and certificate bindings?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/gate-operand-parity-lean/README.md", + "research/staged544-certified-endpoint/README.md", + "research/unconditional-batched-crt/README.md" + ], + "methods": [ + "Formalize a missing boundary lemma identified by the selected review.", + "Audit a formal theorem-to-certificate binding independently." + ], + "acceptance_gate": "State the exact formalized proposition and remaining assumptions; avoid duplicate arithmetic formalizations already present.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Inventory the gate-operand parity lemma (#3807) and certified endpoint arithmetic (#3857). Neither is a full multiplication proof. For #4100, audit the compact-switch statement and its hypotheses before formalizing it.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Write one missing statement with quantified hypotheses, actual caller and existing coverage. A compact-switch lemma is a candidate only after its mathematical contract is reviewed. Establish a bounded proof plan before a separately budgeted proof-assistant build; do not rerun large Lean jobs as orientation.", + "bottleneck_link": "A missing interface proof can reduce the conditional gap even if it does not change kappa.", + "allowed_variations": [ + "Narrow to one formal lemma or one theorem-to-certificate binding." + ], + "scope_change_triggers": [ + "Formalizing already-covered arithmetic and claiming the full multiplication theorem." + ], + "overlap_terms": [ + "hyperplane end", + "formal interface", + "Lean binding", + "3807", + "3857", + "4100", + "gate-operand-parity-lean", + "staged544-certified-endpoint", + "unconditional-batched-crt" + ], + "existing_checks": [ + { + "scope": "PR #3807: scoped gate-operand parity formalization.", + "evidence": "research/gate-operand-parity-lean/README.md", + "remaining": "Exact theorem-to-caller binding and genuinely uncovered interface lemmas.", + "status": "author-checked", + "source_commit": "4c3530f42a6abcc48e7a6bcffd6c901911dc8269", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #3857: certified real-power moment/endpoint arithmetic.", + "evidence": "research/staged544-certified-endpoint/README.md", + "remaining": "Uniform algorithmic implications, not another endpoint digit.", + "status": "author-checked", + "source_commit": "ef4315b8caa605e47a2515004845eb2d2ed71a86", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4100: compact-switch formalization proposed as future validation.", + "evidence": "research/unconditional-batched-crt/README.md", + "remaining": "Audit the statement and assumptions before a formal proof campaign.", + "status": "author-checked", + "source_commit": "337d04939571a637aeab54a0f58f54fde811663a", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + } + ] + }, + { + "id": "verifier-engineering", + "weight": 8, + "tasks": [ + { + "id": "replay-runtime", + "question": "Can one measured replay bottleneck be sped up without dropping coverage?", + "starting_points": [ + "scripts/run_isolated_tests.py", + "scripts/verify_replay_coverage.py", + "certificates/selected-result.json" + ], + "methods": [ + "Profile one isolated replay and optimize the measured bottleneck.", + "Design source-bound reuse with explicit dependency invalidation and negative controls." + ], + "acceptance_gate": "Report before/after wall time on the same fixture, retained checks and invalidation behavior.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the selected reproduction command and choose a single replay stage for profiling.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Measure one unchanged fixture, preserve check coverage, and test one optimization with invalidation controls.", + "bottleneck_link": "Faster trustworthy replays increase review throughput and let mechanism candidates be checked sooner.", + "allowed_variations": [ + "Profile one stage or design one source-bound cache boundary." + ], + "scope_change_triggers": [ + "Skipping coverage or comparing different fixtures to claim speedup." + ], + "overlap_terms": [ + "replay runtime", + "cache invalidation", + "isolated tests" + ] + }, + { + "id": "portable-replay", + "question": "Can one reproducible environment or artifact-comparison failure be repaired?", + "starting_points": [ + "research/gzip-container-reproducibility/README.md", + "docs/ci-verification.md" + ], + "methods": [ + "Reproduce one portability failure and add a minimal cross-environment fix.", + "Audit one canonical-payload comparison for omitted proof-relevant fields." + ], + "acceptance_gate": "Preserve immutable source hashes and proof-relevant content; a different compressed byte stream alone is not a mathematical mismatch.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the gzip-container reproducibility examples and distinguish frozen source bytes from regenerated payloads.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Reproduce one specific mismatch or audit one canonical comparison for omitted proof-relevant fields.", + "bottleneck_link": "Portable exact checks prevent environment failures from blocking valid contributions.", + "allowed_variations": [ + "One interpreter/version mismatch or one payload field comparison." + ], + "scope_change_triggers": [ + "Removing immutable-source pins because generated compressed bytes differ." + ], + "overlap_terms": [ + "gzip container", + "reproducibility", + "canonical payload" + ] + } + ] + }, + { + "id": "consolidation", + "weight": 5, + "tasks": [ + { + "id": "overlap-receipt", + "question": "What exact content and credit of a small named PR set has already been retained?", + "starting_points": [ + "docs/research/pr-ledger.md", + "CONTRIBUTORS.md" + ], + "methods": [ + "Compare exact heads and retained artifacts to write a source-bound disposition receipt.", + "Audit an existing receipt for missing content or predecessor attribution." + ], + "acceptance_gate": "Separate complete integration, partial retention and changed heads; make no autonomous closures.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read one small PR set in the ledger and identify exact reviewed heads and unresolved content.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Compare that set to retained artifacts; produce a complete or explicitly partial disposition receipt.", + "bottleneck_link": "Reliable overlap evidence preserves credit and prevents repeated review of already-retained material.", + "allowed_variations": [ + "One small related PR family or one existing integration receipt." + ], + "scope_change_triggers": [ + "Treating matching titles or one shared blob as proof of full incorporation." + ], + "overlap_terms": [ + "overlap receipt", + "partial integration", + "attribution" + ] + }, + { + "id": "scope-navigation", + "question": "Can one misleading historical-current claim or missing research cross-reference be corrected?", + "starting_points": [ + "docs/research/current-status.md", + "docs/research/pr-ledger.md", + "certificates/selected-result.json" + ], + "methods": [ + "Trace one confusing path from onboarding to its authoritative source.", + "Index one tightly related family of obstructions with explicit excluded and open hypotheses." + ], + "acceptance_gate": "Produce evidence-backed navigation, preserve historical records and avoid a duplicate global survey.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Follow one link from the selected record to its review and compare a potentially stale historical claim.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Repair one confusing path or produce a scoped map of one related obstruction family.", + "bottleneck_link": "Clear navigation lowers entry cost for central research; a global survey without a concrete fix is not required.", + "allowed_variations": [ + "One historical-current ambiguity or one bounded family index." + ], + "scope_change_triggers": [ + "Rewriting frozen scientific packages just to change their historical wording." + ], + "overlap_terms": [ + "current status", + "historical checkpoint", + "scope navigation" + ] + } + ] + }, + { + "id": "incumbent-optimization", + "weight": 2, + "tasks": [ + { + "id": "selected-packing", + "question": "Does a named residual packing task have meaningful uncovered headroom after its exact fixed-inventory ceiling?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged-fourth-mixture-ceiling/README.md", + "research/staged544-mixed-fourth-entry/README.md" + ], + "methods": [ + "Check a fixed-inventory ceiling and source equivalence before any explicitly bounded residual search.", + "Price a genuinely changed word/interface under a newly applicable model." + ], + "acceptance_gate": "Check live overlap and exact model/source binding first. Distinguish a chronological construction from a pooled optimum. State the applicable fixed-inventory ceiling and remaining headroom; changed words or interfaces require a new fully charged model. Do not launch a residual search without an explicit scope and time cap.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4091 fixed-word pooled ceiling and #4088 later 1090-call literal fill. Bind the unchanged local invoices/capacities/stock before transferring the ceiling; its earlier 1080-call residual-bin recipe is historical.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Default to a bounded headroom/source-equivalence check. Only start residual search with an explicit unclaimed domain, time cap and reason the tiny remaining gain matters. Otherwise hand off or select a changed-word mechanism. A changed word or interface needs a fresh cost model, not the old ceiling. Stop at the fixed-inventory cap; do not extend by new random seeds.", + "bottleneck_link": "An actual paid-profile gain can improve the frontier up to the other supplier cap.", + "allowed_variations": [ + "One bounded residual packing instance or exact relaxation.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Rerunning an existing search with only a different seed as a separate mathematical contribution." + ], + "overlap_terms": [ + "T16", + "owner exchange", + "packing", + "4091", + "4088", + "staged-fourth-mixture-ceiling", + "staged544-mixed-fourth-entry" + ], + "existing_checks": [ + { + "scope": "PR #4091: pooled optimum at one-third staging for pinned fixed words; not a chronological fill.", + "evidence": "research/staged-fourth-mixture-ceiling/README.md", + "remaining": "Independent scope/source check; any residual optimization is explicitly bounded and optional.", + "status": "author-checked", + "source_commit": "a29bdd8f56cd18b805917775cdec09ff935eddc4", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4088: later 1090-call literal fill improves the earlier 1080-call witness.", + "evidence": "research/staged544-mixed-fourth-entry/README.md", + "remaining": "Complete admission remains separate; old residual-bin instructions must not be copied blindly.", + "status": "author-checked", + "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + { + "id": "scalar-to-moment", + "question": "Can a changed frame itinerary remove a paid transition beyond the already covered scalar A2 contractions?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged544-a2-graph-rewrite/README.md", + "research/staged544-separated-a2/README.md", + "research/staged544-a2-composition-audit/README.md", + "research/staged544-a1858-contraction-audit/README.md" + ], + "methods": [ + "Derive the changed legal frame itinerary and exact child histogram.", + "Prove a scoped obstruction showing why that scalar gain cannot change the paid contract." + ], + "acceptance_gate": "An unchanged histogram is not a kappa gain; record any separate runtime or proof benefit explicitly.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the A2 and separated-A2 constructions and their composition/contraction audits. Scalar contractions can preserve the complete recursive histogram; fewer ADDs alone do not justify further scans.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Identify an actual paid transition to remove and construct a legal replacement frame itinerary, charging restoration, source windows and changed helpers. Compare complete before/after histograms. Stop if only scalar count changes; report that benefit honestly, without expanding the same scalar-only census.", + "bottleneck_link": "A legal change to the histogram, not addition count alone, is the bridge to an exponent gain.", + "allowed_variations": [ + "One existing scalar simplification and one proposed frame-path change." + ], + "scope_change_triggers": [ + "Submitting only another scalar count as completion of a paid-profile task." + ], + "overlap_terms": [ + "scalar simplification", + "paid profile", + "R439", + "3998", + "4019", + "4112", + "4152", + "staged544-a2-graph-rewrite", + "staged544-separated-a2", + "staged544-a2-composition-audit", + "staged544-a1858-contraction-audit" + ], + "existing_checks": [ + { + "scope": "PR #3998: consecutive A2 scalar contraction", + "evidence": "research/staged544-a2-graph-rewrite/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "status": "author-checked", + "source_commit": "389268a6b5e0373a3125d5c6fcd6995f4ea324f5", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4019: separated A2 sites with unchanged recursive histogram", + "evidence": "research/staged544-separated-a2/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "status": "author-checked", + "source_commit": "f408e09df300b575235f7f77f81948071397e16d", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4112: composition audit", + "evidence": "research/staged544-a2-composition-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "status": "author-checked", + "source_commit": "205b7380656ba4b6316a8a493b1a3c679b8f7a0e", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4152: A1858 contraction audit", + "evidence": "research/staged544-a1858-contraction-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "status": "author-checked", + "source_commit": "caaa14cde5962adc372fdca71f63d0f29e73c8b2", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + } + ] + } + ], + "selection_context": { + "refreshed_on": "2026-10-22", + "kappa": "60403/20000000", + "source_pr": 4470, + "record": "certificates/selected-result.json", + "review": "docs/research/pr-intake-evidence/pr4470/PROOF-REVIEW.md", + "orientation_command": "python3 -B scripts/research_selected_baseline.py", + "scope": "Metadata refresh only. Revision-7 weights and cards remain historical suggestions pending separate strategic reassessment; check current contracts and overlap before adopting them." + } +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/free-word-tensor-lift-audit/PROOF.md b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/free-word-tensor-lift-audit/PROOF.md new file mode 100644 index 0000000000..69c337a770 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/free-word-tensor-lift-audit/PROOF.md @@ -0,0 +1,174 @@ +# Source-bound free-operator tensor lift + +This audit affirms one specific premise in PR4100's `COMPLEX.md`, lines 62–89: +the retained four PR4088 words cancel in a free group algebra before any +particular native operator is substituted. The premise is true for the exact +source exports checked here. This is a local algebra and source-binding result; +it supplies no new paid profile, numerical allowance, encoded implementation, +physical hosting theorem, outer release or selected-frontier improvement. + +## Exact source and contract + +The audited text is `research/unconditional-batched-crt/COMPLEX.md`, Git blob +`c3be56fbfdb4fb29c1ace88cbcdfa7475fb6e343`, SHA256 +`853e1295850862752e4f854aa9e8b28f9ca6eaa9306e2af110b7b77526d1b5e1`. +It is identical at retained PR4100 head +`337d04939571a637aeab54a0f58f54fde811663a` and canonical main +`12fa8c5c844be21bfefb38a19503fbd867a11244`. + +Its stated source is PR4088 head +`72d7efc181edb21806a878f174847c96dd410ab0`, package +`research/staged544-mixed-fourth-entry`. This audit exports the exact four +`inputs/{THREE,FOUR}-{base,extra}.json.gz` files, retained `vendor/audit_core.py`, +`vendor/audit_verify.py`, source `verify.py`, `PROOF.md` and `NOTICE.md`. +`SOURCE-PINS.json` records every original commit, path, length, Git blob and +SHA256. Every file is authenticated before the retained checker is executed. +No native runner, owner fill, solver, NumPy or historical outer engine is run. + +Each word has 632 live registers, 91 arbitrary dirty private registers, +72 abstract unary generators and 36 listed initial correction terms. The +forward common-label contract on the 723-register direct sum is + +`(x,y,h,b) -> (x,y+x,h,b)`. + +The dual contract is `(x,y,h,b) -> (x-y,y,h,b)`. In particular every private +buffer is an independent input, returns identically, and has no leakage into +live outputs. Neither contract assumes zero private inputs or a product state. + +## What the retained checker actually computes + +In `audit_core.py`, lines 297–391, a register value is a sparse dictionary + +`(initial_input, reduced_signed_operator_word) -> Fraction`. + +`program` includes every declared initial correction, precondition, +compensation, A and cut gate, chronologically inserted B warp, B gate, +restoration and cleanup gate. `_left` and `_right` cancel only adjacent inverse +letters; `_axpy` adds exact rational coefficients and removes exact zeros. +There is no commutation, finite-order relation, numerical operator matrix, +Fourier-character evaluation or univariate minimal-polynomial reduction. + +`audit_verify.semantics` runs all 723 independent symbols forward and dual, +compares an independent direction of pullback, and checks both cleanup-boundary +contracts. Every emitted provider passes. Each endpoint consists of exactly +835 nonzero terms: the 723 diagonal terms and 112 intended shear terms. Every +surviving operator word is empty. + +That is a universal algebraic identity, rather than an identity inferred from +one operator realization. The source's use of the word “symbolic” is justified +by these actual data structures, reductions and endpoint predicates. + +## All positive tensor multiplicities + +Let `F` be the free group on symbols `g_1,...,g_72`, and let `A=Q[F]` be its +rational group algebra. The finite word program is a product of elementary +723-by-723 matrices over `A`. A correction `c*g_word*x_source` is an off-diagonal +entry of one such elementary matrix. Scalar ADD and SCALE entries belong to +`Q*1_A`. + +Let `K` be any characteristic-zero field (in particular `Q[i]`) and let `V` +be any finite-dimensional vector space over `K`. Choose arbitrary invertible `K`-linear operators +`G_k` on `V`. All tensor products below are over `K`. For every positive integer `f`, define + +`rho_f(g_k) = G_k tensor ... tensor G_k` (f factors). + +The assignment of free generators extends uniquely to a group homomorphism +`F -> GL(V tensor f)`: inverses map to tensor products of inverses, and + +`(G H) tensor f = (G tensor f)(H tensor f)`. + +Extend this map rationally from `A` into the `K`-linear endomorphisms of +`V tensor f`. This extension is a unital rational algebra +homomorphism because multiplication of finite formal sums distributes and +because the group map preserves products. In particular + +`rho_f(sum_w c_w*w) = sum_w c_w*rho_f(w)`. + +Apply this homomorphism entrywise to the certified elementary-matrix product. +It preserves each elementary action, the order of events and the product. +Since the certified endpoint has only rational multiples of empty words, its +image is exactly the same register-level shear with each scalar multiplied +by the identity of `V tensor f`. This proves the endpoint for every positive +`f` and every input in the 723-register direct sum of `V tensor f`, including +arbitrarily correlated live/private data. + +The number of register roles remains 723. We are changing the internal space +of each role; we are not taking a tensor power of the 723-by-723 register matrix. +The latter operation would create a different program with 723^f roles. + +The dual pass treats `d_k=G_k^(-T)` as separate free generators. The same +argument applies, and `(G_k^(-T)) tensor f = (G_k tensor f)^(-T)` in the product +basis. Native frame labels can be replaced by their tensor powers if the +separately supplied directed native recipe identities are exact. This audit +does not reprove or rerun those native recipe identities. + +## The distinction that must be retained + +This algebra homomorphism is linear on formal sums. Therefore + +`rho_f(g-I) = G tensor f - I`, + +not `(G-I) tensor f`. Likewise `rho_f(c*g)=c*(G tensor f)`, not +`(c*G) tensor f = c^f*(G tensor f)`. A role SCALE or bridge coefficient must +remain scalar, while a constant phase already inside a unary generator is +part of that generator and therefore occurs in every tensor factor. + +For an exact small counterexample, take `G=[[1,1],[0,1]]` and `f=2`. +Then `(G tensor G-I)` sends `e_2 tensor e_2` to +`e_1 tensor e_1 + e_1 tensor e_2 + e_2 tensor e_1`; whereas +`(G-I) tensor (G-I)` sends it only to `e_1 tensor e_1`. Their difference is +nonzero over `Q` (and over the supplemental field F101). +The code checks a distinct noncommuting 72-generator family as well, and rejects +both the whole-difference and whole-scalar tensorization rules. + +## Independent evidence and its scope + +`independent.py` imports or executes no retained implementation. It reconstructs +the literal sequence from the four exported words and, for each of the 723 +outputs separately, pulls the output functional backward through that sequence +over exact `Q[F_72]`. The reverse traversal appends words on the right; a stack +reduces only adjacent inverse letters. All four forward and all four dual +contracts match exactly: 5784 output-functional checks, 6680 endpoint terms and +zero surviving nonempty words. Its controls preserve a nontrivial commutator, +a fourth power and the two distinct terms of `g-I`. + +This implementation is independent of the source engine; the format and +endpoint contract were read from the same credited source. Agreement is +supplemental to inspection of the finite exact computations, not a substitute +for proving what the reductions mean. + +`verify.py` also reconstructs and executes the literal events directly on dense +vectors over F101, with 72 distinct invertible 2-by-2 matrices. The first two do +not commute. It substitutes their tensor powers at `f=1,2,3` in both orientations +of all four providers, yielding 24 direct fixtures; all 723 registers are given +deterministic dirty values. These finite-field experiments are controls, not +the proof for every rational input or unbounded f. Erasing the actual listed +correction generators fails at 20 registers; tensorizing the actual role SCALE +coefficients fails at the reported registers. Exact inverse and product +compatibility controls also pass. + +## Remaining obligations and credit + +This positive result discharges only the source's formal free-operator premise +and its algebraic implication to per-role tensor multiplicity. The physical +lowering of native monomials, directed native recipes, placement, common cover, +hosted slices, analytic bounds, coefficient precision, fixed-tape inventory, +recovery and complete ordinary/outer release are outside this audit. The source +construction makes additional written claims about these interfaces; this audit +neither verifies nor refutes those claims. +No paid-rank saving, all-size multiplication theorem, independent human +acceptance or new kappa is claimed. + +The tensor-lift proposal and current construction are credited to Cinna Davis, +the PR4100 author; this audit does not claim to invent the representation argument. +Cinna Davis's PR4088 supplies the four literal providers and source integration. +Sagar Thakrar's PR3687 exact free-operator engine and roger-sato's PR3693 +all-dirty/reverse audit are reused explicitly. Retained lineage includes Rohan +Arun/PR4076, Dugongue/David Ganz/PR4085 and PR3945, Nick Petalas, Ross +Richardson/PR3605, dataisfire/PR3734, ChaloupeMusic/Erwan Secousses, Marius-Paul +Dumitrean, zxv and the earlier geometry/native/compiler/owner contributors. +The byte-identical source notice and source-file notices remain in `source/`. + +The formal and F101 implementations were separately written by one Codex agent. A second Codex agent independently reviewed them and supplied the exact rational signed-permutation oracle in `independent_real.py`; see `INDEPENDENT-REVIEW.md`. None is a human or formal-kernel acceptance. + +`mutation_controls.py` also produces exact actual-program counterexamples in `MUTATIONS.json`: erasing the first correction generator yields `(I-G59)x273` in output115; dropping the first nonidentity scale yields `-3*x119` in output119. Both baseline output functionals pass first. Every actual correction word has length one, so a multi-letter correction reorder is inapplicable rather than counted as an executed control. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/higher-moment-strictification/verify.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/higher-moment-strictification/verify.py new file mode 100644 index 0000000000..4b24a50961 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/higher-moment-strictification/verify.py @@ -0,0 +1,421 @@ +#!/usr/bin/env python3 +"""Higher-moment strictification and a polynomial-logarithm compiler bound. + +New arithmetic is independent of predecessor interval code. The unchanged +invoice replay and two outer ledgers are credited, byte-pinned oracles. +zxv with substantial OpenAI Codex assistance. Apache-2.0. +""" +import argparse +import ast +from collections import Counter +from contextlib import redirect_stdout +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256, sha1 +import io +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +GRID = 2**192 +C = Q('0.00268648') +KAPPA = Q('0.00268647') +T = {5:420, 6:270, 7:840, 8:1395, 9:3195, + 25:448, 41:448, 57:448, 121:224} +P = {1:37305, 2:10695, 3:3360, 4:1530, 5:300, + 8:1464, 16:448, 32:448, 48:448} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def down(x): + return Q((x*GRID).__floor__(), GRID) + + +def up(x): + return Q(-((-x*GRID).__floor__()), GRID) + + +def rounded(lo, hi): + return down(lo), up(hi) + + +def mul(a, b): + products = [x*y for x in a for y in b] + return rounded(min(products), max(products)) + + +def scale(a, x): + return mul(a, (x, x)) + + +def divide(a, b): + need(b[0] > 0, 'positive interval denominator') + return mul(a, rounded(1/b[1], 1/b[0])) + + +@lru_cache(None) +def log_bounds(n): + """Exact atanh series, binary reduction; round only the final interval.""" + need(isinstance(n, int) and n >= 1, 'positive integer logarithm') + + def series(x): + u = (x-1)/(x+1) + term, total = u, Q(0) + for j in range(80): + total += 2*term/(2*j+1) + term *= u*u + tail = 2*term/(161*(1-u*u)) + return total, total+tail + + k = n.bit_length()-1 + a, b = series(Q(2)) + c, d = series(Q(n, 2**k)) + return rounded(k*a+c, k*b+d) + + +def exp_point(x): + """Outward fixed-point Taylor enclosure, with binary scaling/squaring.""" + need(abs(x) < 16, 'bounded exponential argument') + if x < 0: + a, b = exp_point(-x) + return rounded(1/b, 1/a) + divisions = 0 + while x > Q(1, 2): + x /= 2 + divisions += 1 + term = total = (Q(1), Q(1)) + for j in range(1, 65): + term = scale(term, x/j) + total = rounded(total[0]+term[0], total[1]+term[1]) + following = scale(term, x/65) + # Every remaining ratio is <= 1/132. Twice the next term is safe. + result = rounded(total[0], total[1]+2*following[1]) + for _ in range(divisions): + result = mul(result, result) + return result + + +def exp_interval(a): + return exp_point(a[0])[0], exp_point(a[1])[1] + + +@lru_cache(None) +def power(n, exponent): + return exp_interval(scale(log_bounds(n), exponent)) + + +def moment(histogram, exponent): + low = high = Q(0) + for n, count in histogram.items(): + a, b = power(n, exponent) + low += count*a + high += count*b + return rounded(low, high) + + +def display(a): + unit = 10**30 + + def fixed(n): + sign = '-' if n < 0 else '' + s = str(abs(n)).rjust(31, '0') + return sign+s[:-30]+'.'+s[-30:] + + return {'lower': fixed((a[0]*unit).__floor__()), + 'upper': fixed(-((-a[1]*unit).__floor__()))} + + +def encoded(x): + if isinstance(x, Q): + return str(x) + if isinstance(x, dict): + return {str(k): encoded(v) for k, v in x.items()} + if isinstance(x, (list, tuple)): + return [encoded(v) for v in x] + return x + + +def source_environment(path): + env = {'__file__': str(path), '__name__': 'pinned_source_oracle'} + exec(compile(path.read_bytes(), str(path), 'exec'), env) + return env + + +def authenticate(): + result = {} + for row in json.loads((HERE/'VENDOR.json').read_text())['files']: + path = HERE/'vendor'/Path(row['path']).relative_to( + 'research/higher-moment-strictification/vendor') + digest = sha256(path.read_bytes()).hexdigest() + need(digest == row['sha256'], 'changed source: '+row['path']) + raw = path.read_bytes() + need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + == row['git_blob'], 'changed Git source blob') + result[row['path']] = digest + return result + + +def invoice_oracle(): + """Run #4426 unchanged, rebinding only its two file-location globals.""" + path = HERE/'vendor/invoice-review/verify.py' + env = source_environment(path) + env.update(ROOT=path.parent, PHASES='DATA-PHASES.json') + output = io.StringIO() + with redirect_stdout(output): + env['main']() + result = json.loads(output.getvalue()) + need(result['status'] == 'PASS_PR4416_INVOICE_REBUILD', 'source invoice oracle') + need({int(k): v for k, v in result['targets'].items()} == T + and {int(k): v for k, v in result['paid'].items()} == P, + 'exact literal-word invoice') + return result + + +def tail_certificate(v=150, cutoff=10, floor=15, u=Q(3, 10)): + t = 1-C + need(v >= 1 and 1 < cutoff < floor < 121, 'strict finite ranks') + need(t+u >= 1, 'tail moment exponent at least one') + target, paid = moment(T, t), moment(P, t) + alpha = divide(paid, target) + gamma = divide(moment(P, t+u), mul(power(cutoff, u), target)) + delta = divide((Q(sum(T.values())*floor),)*2, + mul(power(cutoff, C), target)) + limits = (1-Q(1, 10**8), Q(181, 200), Q(439, 500)) + for name, bounds, limit in zip(('alpha', 'gamma', 'delta'), + (alpha, gamma, delta), limits): + need(0 < bounds[0] <= bounds[1] < limit < 1, name+' certified limit') + a, g, d = limits + bound = 1/(1+v*(1-a))+2*g**v+2*d**v + need(bound < 1, 'complete charged normalized moment') + old_gamma = divide((Q(sum(k*n for k, n in P.items())),)*2, + mul(power(cutoff, C), target)) + old_lower = alpha[0]**v+2*old_gamma[0]**v + need(old_lower > 1, 'rank-one-tail estimate fails at this tensor power') + return {'tensor_power': v, 'cutoff_base': cutoff, 'floor_base': floor, + 'paid_moment_exponent': t+u, 'tail_offset_u': u, + 'tested_saving': C, 'alpha': display(alpha), 'gamma': display(gamma), + 'delta': display(delta), 'rational_upper_limits': limits, + 'normalized_paid_upper': bound, 'strict_moment_gap': display((1-bound,)*2), + 'old_rank_one_gamma': display(old_gamma), + 'old_rank_one_bound_lower': display((old_lower, old_lower)), + 'ambient': '121^'+str(v), 'minimum_target': str(floor)+'^'+str(v), + 'maximum_paid': str(cutoff)+'^'+str(v), + 'productive_fields_before_uniform_compiler': '7688^'+str(v), + 'rank_one_surplus': '131723^'+str(v)+'-131115^'+str(v), + 'materialized_product_or_uniform_word': False} + + +def uniform_rank(v): + t, p, theta = 1-C, 13, Q(6, 7) + gap = (C-KAPPA)/7 + uniform_saving = C-gap + need(10**7 < 15**6, 'theta upper bound') + need(2*(10**v)**7 <= (121**v)**6, 'shifted logarithm inequality') + eta = scale(exp_interval(scale(log_bounds(121), -v*C)), t) + need(eta[0] > theta**p, 'exit contraction below complement capacity') + base = exp_interval(scale(log_bounds(121), v*C)) + need(base[1] < 2**p, 'entire ordinary base range fits') + # Integer grid: gap*H is integral, avoiding enormous rational powers. + step = gap.denominator + need(gap.numerator == 1, 'chosen rational gap grid') + + def passes(j): + H = step*j + return (H+1)**p < 2**j + + lo, hi = 1, 2 + while not passes(hi): + lo, hi = hi, 2*hi + while hi-lo > 1: + mid = (lo+hi)//2 + if passes(mid): + hi = mid + else: + lo = mid + H = step*hi + need(H > 7*v and passes(hi) and not passes(hi-1), 'final integer comparison') + need(eta[1] < theta**(p-1), 'one smaller logarithmic power fails') + return {'t': t, 'uniform_saving': uniform_saving, 'gap': gap, + 'logarithm_power': p, 'theta_upper': theta, 'eta': display(eta), + 'eta_minus_theta_to_p': display((eta[0]-theta**p, eta[1]-theta**p)), + 'm_to_saving': display(base), 'H': H, 'N': '2^'+str(H), + 'integer_test': {'left_base': H+1, 'left_exponent': p, + 'right_base': 2, 'right_exponent': hi}, + 'grid_step': step, 'previous_grid_point_rejected': True, + 'smaller_logarithmic_power_rejected': True} + + +def power_majorant_comparison(v, uniform_saving): + """Retain #4416's older power proof, changing only the new unit's ranks.""" + t, z, h = 1-C, 1-uniform_saving, Q(1, 7) + z0 = (t+z)/2 + delta = z0-t + B, debt = (4+7*h)*v, 1+7*v*(1-z0) + ratio = (delta*B+debt)/(h*delta) + H0 = -((-ratio.numerator)//ratio.denominator) + ratio = H0*(1-z0)/(z-z0) + H1 = ratio.numerator//ratio.denominator+1 + need(H0 >= 7*v and H0*h*delta >= delta*B+debt, 'power majorant threshold') + need((H0-1)*h*delta < delta*B+debt, 'previous power threshold rejected') + need(H1*(z-z0) > H0*(1-z0) >= (H1-1)*(z-z0), + 'strict power-majorant comparison and previous-rank control') + return {'H0': H0, 'H1': H1, 'N': '2^'+str(H1), 'theta_upper': 1-h, + 'scope': 'Tail transformation alone, retaining the older power majorant.'} + + +def outer_ledger(uniform_saving): + d = (C-KAPPA)/7 + params = {'kappa': KAPPA, 'tested_saving': C, + 'complex_uniform_saving': uniform_saving, 'b': KAPPA+5*d, + 'a': KAPPA+4*d, 'q': KAPPA+3*d, 'bit_saving': Q('0.0027'), + 'epsilon': 1-d, 'beta': 1-3*d, 'r0': d/10, + 'stop': d, 'layout': d, 'd': d} + env = source_environment(HERE/'vendor/outer_endpoint.py') + row = env['ledger'](params) + need(len(row['strict_checks']) == 54 and len(row['functional_checks']) == 3, + 'complete first outer ledger') + need(all(v > 0 for group in ('strict_checks', 'functional_checks') + for v in row[group].values()), 'all outer predicates') + frozen = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['outer'] + need(encoded(row) == frozen, 'unchanged full p7 endpoint ledger') + parsed = ast.parse((HERE/'vendor/check_ledger.py').read_bytes()) + function = next(n for n in parsed.body + if isinstance(n, ast.FunctionDef) and n.name == 'ledger') + constants = [n for n in parsed.body if isinstance(n, ast.Assign) + and any(isinstance(t, ast.Name) and t.id.startswith('KAPPA_') + for t in n.targets)] + eps, beta, q, a = (params[k] for k in ('epsilon', 'beta', 'q', 'a')) + grid = 10**10 + backoff = Q((eps*q*grid).__floor__(), grid)-KAPPA + need(backoff > 0, 'strict derived oracle grid backoff') + oracle = {'Q': Q, 'R0': params['r0'], 'ZETA': Q(1, 10**8), + 'SLACK': d, 'STOP': d, 'FLOOR': grid, 'BACKOFF': backoff, + 'EPS': eps, 'BETA': beta, 'THETA_POWER': Q(2), + 'HALO_POWER': 48, 'CORE_POWER': 128, 'STRASSEN_TAU': Q(45, 16), + 'b': params['b'], 'q': q, 'a': a, 'bit': params['bit_saving'], + 'online': Q('0.001730970419199163702738'), + 'old': Q('0.001730970419199163702738')} + code = ast.fix_missing_locations(ast.Module(body=constants+[function], type_ignores=[])) + exec(compile(code, 'pinned 63-predicate ledger', 'exec'), oracle) + second = oracle['ledger']('higher_moment_smaller_ranks') + need(second['kappa'] == KAPPA and second['margins'] == row['margins'], + 'all nine rows match both ledgers') + need(len(second['strict_checks']) == 63 and + all(v > 0 for v in second['strict_checks'].values()), 'all 63 legacy predicates') + controls = {} + for name, updates in [('closed_epsilon', {'epsilon': Q(1)}), + ('missing_layout', {'layout': Q(0)}), + ('unfunded_kappa', {'kappa': C}), + ('closed_uniform_gap', {'complex_uniform_saving': params['b']}), + ('insufficient_BIT', {'bit_saving': Q('0.0023')})]: + bad = env['ledger'](dict(params, **updates)) + failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0) + need(failed, 'outer control rejected: '+name) + controls[name] = failed + for name, options in [('old_per_axis_scan', {'old_scan': True}), + ('group_equals_dimension', {'beta_': eps})]: + bad = oracle['ledger']('reject_'+name, **options) + failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0) + need(failed, 'legacy control rejected: '+name) + controls[name] = failed + return {'ledger': row, 'legacy_63_checks': second['strict_checks'], + 'legacy_grid': grid, 'legacy_backoff': backoff, + 'minimum_margin_minus_kappa': min(row['margins'].values())-KAPPA, + 'rejected_controls': controls} + + +def finite_controls(): + def tensor(histogram): + out = Counter() + for k, n in histogram.items(): + for h, b in histogram.items(): + out[k*h] += n*b + return out + + def split(histogram, cutoff): + out = Counter() + for k, n in histogram.items(): + q, r = divmod(k, cutoff) + out[cutoff] += q*n + if r: + out[r] += n + return +out + + target, paid = tensor({2:1, 5:1}), tensor({1:2, 4:1}) + padded, completion = Counter(), Counter() + for k, n in target.items(): + padded[max(k, 9)] += n + if k < 9: + completion[9-k] += n + final = split(paid+completion, 4) + mass = lambda x: sum(k*n for k, n in x.items()) + need(mass(padded)-mass(final) == 7**2-6**2 == 13, 'exact paid padding mass') + need(min(padded) > max(final), 'exact toy separation') + need(final == Counter({1:5, 4:9}), 'literal toy expanded inventory') + # t=1/2, sigma=3/4, R=100, J=1 refutes a sublinear tail extension. + invalid = power(100, Q(1, 2))[1]+2*power(100, Q(3, 4))[1] + need(invalid < 100, 'sublinear upper-tail moment cannot bound splitting') + return {'toy_targets': padded, 'toy_paid': final, 'rank_one_surplus': 13, + 'sublinear_tail_counterexample': {'R': 100, 'J': 1, 't': '1/2', + 'sigma': '3/4', 'actual_charge': 100, + 'invalid_upper': display((invalid, invalid))}} + + +def verify(): + sources = authenticate() + invoice = invoice_oracle() + tail = tail_certificate() + rank = uniform_rank(tail['tensor_power']) + endpoint = outer_ledger(rank['uniform_saving']) + controls = finite_controls() + rejected = [] + for name, updates, expected in [ + ('too_short_product', {'v': 100}, 'complete charged normalized moment'), + ('sublinear_tail', {'u': C/2}, 'tail moment exponent at least one'), + ('lost_separation', {'floor': 10}, 'strict finite ranks'), + ]: + try: + tail_certificate(**updates) + except ValueError as error: + need(str(error) == expected, 'wrong rejection: '+name) + rejected.append({'mutation': name, 'failed_at': str(error)}) + else: + raise ValueError('accepted mutation: '+name) + old = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['compiler'] + return encoded({'schema': 'higher-moment-native-strictification/1', + 'status': 'PASS_HIGHER_MOMENT_STRICTIFICATION', 'kappa': KAPPA, + 'invoice_oracle': invoice, 'strictification': tail, + 'uniform_rank': rank, 'outer': endpoint, + 'tail_only_power_majorant': power_majorant_comparison( + tail['tensor_power'], rank['uniform_saving']), + 'finite_controls': controls, 'rejected_mutations': rejected, + 'predecessor_H': old['H1'], + 'rank_exponent_reduction_factor': Q(old['H1'], rank['H']), + 'tensor_power_reduction_factor': Q(6240, tail['tensor_power']), + 'source_sha256': sources, + 'verifier_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Conditional charged transformation and finite compiler rank. Native all-column, physical, analytic, precision, storage, fixed-tape and recovery premises remain inherited. No new kappa, selected frontier or practical word.'}) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--out', type=Path) + args = parser.parse_args() + result = verify() + if args.out: + need(not args.out.exists(), 'new output path required') + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + else: + need(json.loads((HERE/'RESULT.json').read_text()) == result, 'changed saved receipt') + print(json.dumps({'status': result['status'], 'tensor_power': result['strictification']['tensor_power'], + 'uniform_rank': result['uniform_rank']['N'], + 'strict_moment_gap': result['strictification']['strict_moment_gap'], + 'kappa': result['kappa']})) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/joint-helper-lattice/CONTROLLER.json 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"SIGNED_SWAP", + 30, + 31 + ] + ], + "prefix_pairs": 7 +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py new file mode 100644 index 0000000000..5a55034ec9 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py @@ -0,0 +1,351 @@ +#!/usr/bin/env python3 +"""Independent literal native replay with arbitrary dirty cleanup buffers. + +The retained emitter supplies words; this module imports no retained evaluator. +Free warp symbols distinguish primal and inverse-transpose operators. Physical +phase receipts are authenticated inherited evidence, not regenerated here. +Apache-2.0. Substantial OpenAI assistance. +""" +from collections import Counter, defaultdict +from fractions import Fraction +from hashlib import sha256 +from pathlib import Path +import argparse +import ast +import gzip +import json + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[2] +CORE = ROOT / "research/kappa-native-resume/native-source/rebased-core" +PACKET = ROOT / "research/kappa-native-resume/causal-controller/sources/research/joint-query/certificate.json.gz" +TAGS = ("THREE-base", "THREE-extra", "FOUR-base", "FOUR-extra") +Q = Fraction + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == ".gz" else raw) + + +def digest(path): + return sha256(path.read_bytes()).hexdigest() + + +def authenticate(): + pins = read(HERE / "SOURCES.json") + for relative, expected in pins.items(): + need(digest(ROOT / relative) == expected, "Changed retained source: " + relative) + return pins + + +def emit_original(canonical): + """Reuse only the pinned source's pure writer; no source verifier executes.""" + source = CORE / "sources/bw_emit.py" + names = {"basis", "reg", "dual", "scalar", "lregs", "expand", "emit", "primitive_bound"} + tree = ast.parse(source.read_text()) + functions = [n for n in tree.body if isinstance(n, ast.FunctionDef) and n.name in names] + need({n.name for n in functions} == names, "Exact writer function inventory") + context = dict(c=canonical, frames=canonical["frames"], v=112, R=408, h=9, n=632, Q=Q) + exec(compile(ast.Module(body=functions, type_ignores=[]), str(source), "exec"), context) + return {"forward": context["emit"](False), "backward": context["emit"](True)} + + +def span(basis): + points = {0} + for vector in basis: + need(isinstance(vector, int) and 0 <= vector < 512, "Nine-dimensional frame") + points |= {v ^ vector for v in tuple(points)} + return frozenset(points) + + +def identity(role): + return {(role, ()): Q(1)} + + +def add(destination, source, coefficient): + for key, value in tuple(source.items()): + value = destination.get(key, Q(0)) + coefficient * value + if value: + destination[key] = value + else: + destination.pop(key, None) + + +def warp(row, operator, backward): + symbol = (1 if operator > 0 else -1) * (abs(operator) + (10**6 if backward else 0)) + out = {} + for (variable, word), coefficient in row.items(): + moved = word[1:] if word and word[0] == -symbol else (symbol,) + word + key = variable, moved + out[key] = out.get(key, Q(0)) + coefficient + return {k: v for k, v in out.items() if v} + + +def expected(role, R, backward, clean): + out = identity(role) + name, i = role + if name != "L": + return out + target = i < 112 if backward else 112 <= i < 224 + if not target: + return out + port = i if backward else i - 112 + source_offset = 112 if backward else 0 + sign = -1 if backward else 1 + add(out, identity(("L", source_offset + port)), Q(sign)) + if clean: + for query in R: + if port in query: + for j, value in query.items(): + add(out, identity(("L", source_offset + j)), -sign * query[port] * value / 4) + return out + + +def replay(program, canonical, R, backward, clean, omit_cleanup_last=False): + """All L inputs and all Z inputs are independent, including dirty outputs.""" + n = 2 * canonical["v"] + canonical["R"] + need(n == 632, "Retained compact width") + rows = {("L", i): identity(("L", i)) for i in range(n)} + current = {("L", i): frame for i, frame in enumerate(canonical["start"])} + center_indices = set() + for event in program: + if event[0] == "scalar": + op = event[1] + for register in op[1:3] if op[0] in ("add", "copy") else op[1:2]: + if register[0] == "C": + center_indices.add(register[1]) + elif event[0] == "center": + center_indices.add(event[1]) + need(center_indices <= set(range(8)), "Known center workspace indices") + for i in center_indices: + rows["C", i] = identity(("C", i)) + current["C", i] = None + spaces = [span(vectors) for vectors in canonical["frames"]] + dimensions = [len(s).bit_length() - 1 for s in spaces] + need(dimensions[1] == 9, "Cleanup uses the full native frame") + live = set() + profile = Counter() + counts = Counter() + scalar_primitives = 0 + cleanup_start = next(i for i, event in enumerate(program) if event == ["phase", "full_frame_cleanup"]) + last_scalar = max(i for i, event in enumerate(program) if event[0] == "scalar" and i > cleanup_start) + for position, event in enumerate(program): + kind = event[0] + counts[kind] += 1 + if kind in ("climb", "center"): + if kind == "climb": + _, part, index, old, new, rank = event + role = "L", index + need(spaces[old] < spaces[new], "Non-nested or empty paid climb") + else: + _, index, old, new, rank = event + role = "C", index + need(spaces[old] < spaces[new] or spaces[new] < spaces[old], "Center residual is not nested") + need(current[role] == old and rank == abs(dimensions[new] - dimensions[old]), "Paid edge source/rank") + current[role] = new + profile[rank] += 1 + elif kind == "zero_buffer": + _, action, index = event + role = "Z", index + if action == "alloc": + need(role not in rows and role not in live, "Cleanup buffer duplicate") + rows[role] = identity(role) + current[role] = 1 + live.add(role) + else: + need(action == "free" and role in live and current[role] == 1, "Cleanup buffer retirement") + live.remove(role) + elif kind == "warp": + _, role, operator, old, new = event + role = tuple(role) + need(current[role] == old, "Warp entrance frame") + rows[role] = warp(rows[role], operator, backward) + current[role] = new + elif kind == "scalar": + op, frame = event[1:] + target = tuple(op[1]) + if op[0] == "clear": + need(target[0] == "C", "A borrowed input was cleared") + rows[target] = {} + current[target] = frame + scalar_primitives += 1 + continue + need(current[target] == frame, "Scalar target frame") + if op[0] in ("add", "copy"): + source = tuple(op[2]) + need(current[source] == frame, "Scalar source frame") + if op[0] == "copy": + need(target[0] == "C", "Copy overwrites borrowed state") + rows[target] = dict(rows[source]) + scalar_primitives += 1 + continue + coefficient = Q(op[3], op[4]) + need(target != source, "Self-ADD is not a reversible shear") + numerator, denominator = abs(coefficient.numerator), coefficient.denominator + need(numerator and denominator & (denominator - 1) == 0, "Non-dyadic ADD") + scalar_primitives += 3 + numerator.bit_length() - 1 + numerator.bit_count() + denominator.bit_length() - 1 + if not (omit_cleanup_last and position == last_scalar): + add(rows[target], rows[source], coefficient) + else: + need(op[0] == "scale", "Unknown scalar event") + coefficient = Q(op[2], op[3]) + numerator, denominator = abs(coefficient.numerator), coefficient.denominator + need(numerator and numerator & (numerator - 1) == 0 and denominator & (denominator - 1) == 0, + "Nonunit dyadic SCALE") + scalar_primitives += abs(numerator.bit_length() - denominator.bit_length()) + int(coefficient < 0) + if not (omit_cleanup_last and position == last_scalar): + rows[target] = {k: coefficient * v for k, v in rows[target].items()} + else: + need(kind in ("phase", "adapter", "residual_adapter"), "Unknown native event") + need(not live and [current["L", i] for i in range(n)] == canonical["final"], "Retired fields/final frames") + need(dict(profile) == {int(k): v for k, v in canonical["local_profile"].items()}, "Complete paid profile") + mismatches = [] + for role, actual in rows.items(): + wanted = {} if role[0] == "C" else expected(role, R, backward, clean) + if actual != wanted: + mismatches.append({"role": list(role), "unequal_coefficients": sum(actual.get(k, 0) != wanted.get(k, 0) for k in set(actual) | set(wanted))}) + if not omit_cleanup_last: + need(not mismatches, "Native dirty-buffer operator mismatch: " + repr(mismatches[:3])) + else: + need(mismatches, "Missing-cleanup negative control unexpectedly accepted") + buffer_count = sum(role[0] == "Z" for role in rows) + return dict(direction="backward" if backward else "forward", clean_J=clean, + independent_borrowed_input_fields=632+buffer_count, original_data_fields=224, + expected_restored_helpers=408, expected_restored_arbitrary_cleanup_buffers=buffer_count, + explicitly_owned_C_fields_cleared=len(center_indices), event_counts=dict(counts), + paid_profile=dict(sorted(profile.items())), paid_rank_mass=sum(k*v for k,v in profile.items()), + conservative_real_scalar_primitive_allowance=2*scalar_primitives, + all_scalar_frames_checked=True, dyadic_coefficients_and_unit_scales_checked=True, + free_warp_operator_endpoint_matches=not mismatches, + negative_control_omitted_last_cleanup_scalar=omit_cleanup_last, + mismatch_examples=mismatches[:3]) + + +def liveness(canonical): + times = defaultdict(list) + for i, event in enumerate(canonical["cleanup"]): + for role in event[1:3] if event[0] == "add" else event[1:2]: + role = tuple(role) if isinstance(role, list) else ("L", role) + times[role].append(i) + full = [i for i, f in enumerate(canonical["final"]) if f == 1] + candidates = [] + for z in canonical["zero_buffers"]: + begin, end = min(times["Z", z]), max(times["Z", z]) + possible = [i for i in range(112) if all(t < begin or t > end for t in times["L", i])] + candidates.append(dict(buffer=z, first_use=begin, last_use=end, + noninterfering_same_call_X_candidates=possible, + noninterfering_full_frame_L_candidates=[i for i in full if all(t < begin or t > end for t in times["L", i])])) + return dict(full_frame_live_roles=len(full), full_frame_roles_unused_in_cleanup=[i for i in full if not times["L", i]], + same_call_X_outputs_touched=sum(bool(times["L", i]) for i in range(112)), + buffers_with_no_noninterfering_same_call_X=sum(not row["noninterfering_same_call_X_candidates"] for row in candidates), + buffers_with_no_noninterfering_full_frame_L=sum(not row["noninterfering_full_frame_L_candidates"] for row in candidates), + intervals=candidates, + conclusion="Arbitrary-buffer restoration does not establish a legal same-call completed-output alias.", + external_same_frame_bank_requirement=91, + external_bank_hosting_constructed=False) + + +def find_aliases(canonical): + """Injective lifetime-safe matching; no native L access during its Z span.""" + options = {row["buffer"]: row["noninterfering_full_frame_L_candidates"] + for row in liveness(canonical)["intervals"]} + owner = {} + + def augment(z, seen): + for role in options[z]: + if role in seen: + continue + seen.add(role) + if role not in owner or augment(owner[role], seen): + owner[role] = z + return True + return False + + for z in sorted(options, key=lambda z: (len(options[z]), z)): + augment(z, set()) + bindings = {z: role for role, z in owner.items()} + need(len(set(bindings.values())) == len(bindings), "Alias must be injective") + need(all(role in options[z] for z, role in bindings.items()), "Interfering alias") + return bindings + + +def alias_program(program, bindings): + """Replace only Z register operands, retaining every native/scalar event.""" + out = [] + + def mapped(role): + return ["L", bindings[role[1]]] if role[0] == "Z" and role[1] in bindings else list(role) + + for event in program: + if event[0] == "zero_buffer" and event[2] in bindings: + continue + if event[0] == "scalar": + op = event[1].copy() + op[1] = mapped(op[1]) + if op[0] in ("add", "copy"): + op[2] = mapped(op[2]) + out.append(["scalar", op, event[2]]) + elif event[0] == "warp": + out.append([event[0], mapped(event[1]), *event[2:]]) + else: + out.append(event) + return out + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--output", type=Path, default=HERE / "RESULT.json") + args = parser.parse_args() + pins = authenticate() + R = [{int(k): Q(v) for k, v in row.items()} for row in read(PACKET)["R_rows"]] + providers = {} + for tag in TAGS: + providers[tag] = {} + for clean in (False, True): + folder = "converted" if clean else "sources" + canonical = read(CORE / folder / (tag + "-CANONICAL.json.gz")) + programs = read(CORE / folder / (tag + "-NATIVE-WORD.json.gz")) if clean else emit_original(canonical) + checks = [replay(programs[direction], canonical, R, direction == "backward", clean) + for direction in ("forward", "backward")] + bindings = find_aliases(canonical) + aliases = {direction: alias_program(program, bindings) for direction, program in programs.items()} + aliased_checks = [replay(aliases[direction], canonical, R, direction == "backward", clean) + for direction in ("forward", "backward")] + need(len(bindings) == 53, "Expected source-bound 53-field lifetime match") + for original, aliased in zip(checks, aliased_checks): + need(original["paid_profile"] == aliased["paid_profile"] and + original["conservative_real_scalar_primitive_allowance"] == aliased["conservative_real_scalar_primitive_allowance"], + "Aliasing changes the charged operation list") + providers[tag]["clean_J" if clean else "ordinary"] = dict(checks=checks, liveness=liveness(canonical), + lifetime_alias_bindings={str(z): role for z, role in sorted(bindings.items())}, + aliased_checks=aliased_checks, + eliminated_cleanup_fields=len(bindings), remaining_cleanup_fields=91-len(bindings), + aliased_word_sha256={direction: sha256(json.dumps(program, sort_keys=True, separators=(",", ":")).encode()).hexdigest() + for direction, program in aliases.items()}) + print("PASS all arbitrary cleanup inputs", tag, flush=True) + canonical = read(CORE / "converted/THREE-base-CANONICAL.json.gz") + programs = read(CORE / "converted/THREE-base-NATIVE-WORD.json.gz") + controls = [replay(programs[direction], canonical, R, direction == "backward", True, True) + for direction in ("forward", "backward")] + result = dict(schema="literal-native-dirty-buffers/1", status="PASS_NATIVE_ARBITRARY_DIRTY_BUFFER_REPLAY", + new_multiplication_kappa=False, physical_phase_generation_rerun=False, + phase_evidence="Pinned inherited exact native phase receipts; unchanged native edges.", + source_hashes=pins, verifier_sha256=digest(Path(__file__)), providers=providers, + negative_controls=controls, + lifetime_safe_local_full_frame_aliases_per_word=53, + remaining_external_bank_fields_per_word=38, + all_91_local_output_alias_claim=False, external_bank_placement_and_cost_closed=False) + args.output.parent.mkdir(parents=True, exist_ok=True) + args.output.write_text(json.dumps(result, indent=2) + "\n") + print(result["status"], flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-interface-round2-20261022/price_profile.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-interface-round2-20261022/price_profile.py new file mode 100644 index 0000000000..1d93e43d1c --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-interface-round2-20261022/price_profile.py @@ -0,0 +1,147 @@ +"""Complete p16 price and finite compiler for a changed native profile. + +Adapted from Cinna Davis's PR4470 arithmetic, retaining zxv's paid tensor +completion/logarithmic majorant and Jacob Alan Sussman's mixed-job flow. +Apache-2.0. Substantial OpenAI Codex assistance. Native admission is separate. +""" +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import importlib.util +import json +import math +import sys +sys.dont_write_bytecode=True +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] + +def need(ok,why): + if not ok:raise ValueError(why) + +def load(path,name): + spec=importlib.util.spec_from_file_location(name,path) + m=importlib.util.module_from_spec(spec);sys.modules[name]=m;spec.loader.exec_module(m) + return m + +def encode(x): + if isinstance(x,Q):return str(x) + if isinstance(x,dict):return {str(k):encode(v) for k,v in x.items()} + if isinstance(x,(list,tuple)):return [encode(v) for v in x] + return x + +def read(path): + import gzip + b=path.read_bytes();return json.loads(gzip.decompress(b) if path.suffix=='.gz' else b) + +def assemble(local): + H={int(k):v for k,v in local['helpers'].items()};N={int(k):v for k,v in local['paid'].items()} + sys.path.insert(0,str(ROOT/'research/joint-helper-lattice')) + J=load(ROOT/'research/joint-helper-lattice/verify.py','round2_pinned_controller') + sys.path.insert(0,str(ROOT/'research/query-thinned-controllers')) + C=load(ROOT/'research/query-thinned-controllers/controller.py','round2_controller_engine') + word=J.controller16(C) + T,P=Counter(),Counter();full=thin=0 + for e in word['physical_events']: + if e[0]=='LOCAL':full+=1;T.update(H);P.update(N) + elif e[0]=='QUERY_SHEAR':thin+=1;P[1]+=112 + elif e[0]=='IDLE':P[8*len(e[2])]+=224 + for term in word['diagonal']:T[1+8*sum(term[1:])]+=112 + need(full==18 and thin==15 and sum(H.values())==408,'Complete retained p16 call and input inventory') + return H,N,T,P,word + +def run(local,kappa=None): + H,N,T,P,word=assemble(local) + E=load(ROOT/'research/higher-moment-strictification/verify.py','round2_exact_intervals') + other=load(ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py','round2_second_intervals') + def margin(c): + t,p=E.moment(T,1-c),E.moment(P,1-c) + return t[0]-p[1],t[1]-p[0] + old_upper=Q('.0030201659771') + need(margin(old_upper)[0]>0,'Changed complete invoice strictly beats old raw root upper endpoint') + # Binary search on a fixed rational grid; all final signs use exact intervals. + lo,hi=0,100000000 + grid=10**10 + while hi-lo>1: + mid=(lo+hi)//2 + if margin(Q(mid,grid))[0]>0:lo=mid + else:hi=mid + root_low,root_high=Q(lo,grid),Q(hi,grid) + need(margin(root_low)[0]>0 and margin(root_high)[1]<0,'Strict changed-profile rational root enclosure') + if kappa is None:kappa=Q((root_low*10**8).__floor__()-3,10**8) + tested=kappa+Q(1,10**8) + need(Q('.003020165')ph and max(tl,target[0])<=min(th,target[1]) and max(pl,paid[0])<=min(ph,paid[1]),'Two independently implemented rational moment engines agree') + alpha=E.divide(paid,target) + gamma=E.divide(E.moment(P,t+u),E.mul(E.power(c,u),target)) + delta=E.divide((Q(sum(T.values())*b),)*2,E.mul(E.power(c,tested),target)) + alpha_gap=Q(1,10**9);g=d=Q(97,100) + need(alpha[1]<1-alpha_gap and gamma[1]theta**power,'Shifted exits and complement capacity') + need(E.power(145,v*tested)[1]<2**power,'Compiler initial range') + gap=(tested-kappa)/7;need(gap.numerator==1,'Explicit finite integer grid') + step=gap.denominator + def wins(j):return (step*j+1)**power<2**j + left,right=1,2 + while not wins(right):left,right=right,2*right + while right-left>1: + mid=(left+right)//2 + if wins(mid):right=mid + else:left=mid + height=step*right + need(height>8*v and wins(right) and not wins(right-1),'Strict finite uniform-rank integer bound') + local_scalar=max(x['real_scalar_allowance'] for x in local['native'].values()) + routes=(sum(N.values())+2*408+688)*1000 + need(local_scalar+routes<10**7,'Complete scalar and fixed monomial routing bound') + scalar_upper=18*10**7+15*1792+32*112*(len(word['physical_events'])+sum(len(word['boundaries'][k+'_program']) for k in ('left','right'))) + need(scalar_upper<10**9,'Raw controller scalar bound') + bit=read(ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom=Q(bit['atom']);ordinary=(1-atom)*Q(bit['after_cover'])+atom*Q('.0000384599');admitted=Q(bit['admitted']) + need(atom==Q('.004') and atom>ordinary>admitted>tested and atom<1-ordinary,'Source ordinary BIT admission and stock') + L=load(ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py','round2_outer_ledger') + params={'kappa':kappa,'tested_saving':tested,'complex_uniform_saving':kappa+6*gap, + 'b':kappa+5*gap,'a':kappa+4*gap,'q':kappa+3*gap,'bit_saving':admitted, + 'epsilon':1-gap,'beta':1-3*gap,'r0':gap/10,'stop':gap,'layout':gap,'d':gap} + outer=L.ledger(params);outer['functional_checks']['actual_new_BIT_stock_sublinear']=params['beta']*(1-atom) + need(len(outer['strict_checks'])==54 and len(outer['functional_checks'])==4,'Whole outer predicate inventory') + need(all(x>0 for key in ('strict_checks','functional_checks') for x in outer[key].values()),'All outer inequalities strictly positive') + controls={} + for name,patch in [('old_BIT',{'bit_saving':Q('.0027')}),('closed_uniform',{'complex_uniform_saving':params['b']}),('unfunded_endpoint',{'kappa':tested}),('closed_epsilon',{'epsilon':Q(1)})]: + bad=L.ledger(dict(params,**patch));failed=[k for k,x in bad['strict_checks'].items() if x<=0] + need(failed,'Reject unsupported outer patch '+name);controls[name]=failed + return encode({'status':'PASS_CHANGED_PROFILE_ARITHMETIC_NATIVE_ADMISSION_SEPARATE','kappa':kappa, + 'gain_over_PR4535':kappa-Q('.003020165'),'raw_root_interval':[root_low,root_high], + 'margin_at_old_root_upper':margin(old_upper),'local_helpers':H,'local_paid':N,'targets':T,'paid':P, + 'productive_fields':sum(T.values()),'paid_calls':sum(P.values()),'rank_mass_surplus':sum(r*n for r,n in T.items())-sum(r*n for r,n in P.items()), + 'strictification':{'tested':tested,'power':v,'cutoff':c,'floor':b,'tail_offset':u,'alpha':E.display(alpha),'gamma':E.display(gamma),'delta':E.display(delta),'normalized_paid_upper':normalized}, + 'compiler':{'theta':theta,'logarithm_power':power,'eta':E.display(eta),'gap':gap,'uniform_saving':params['complex_uniform_saving'],'H':height,'N':'2^'+str(height),'integer_test_exponent':right,'word_materialized':False}, + 'nonrecursive':{'local_scalar':local_scalar,'local_routes':routes,'raw_scalar_upper':scalar_upper}, + 'ordinary_BIT':bit,'outer':outer,'negative_controls':controls, + 'scope':'Exact changed-profile arithmetic only. Requires separately admitted changed native programs, paid transports and absolute phases. Retained compiler/native/precision/tape/analytic/recovery assumptions.'}) + +if __name__=='__main__': + ap=argparse.ArgumentParser();ap.add_argument('--native',type=Path,required=True);ap.add_argument('--kappa');ap.add_argument('--out',type=Path,default=HERE/'ARITHMETIC.json');args=ap.parse_args() + result=run(read(args.native),Q(args.kappa) if args.kappa else None) + result['native_receipt_sha256']=sha256(args.native.read_bytes()).hexdigest() + # Pin all loaded project source modules and the non-module controller/stock + # records read by the inherited engines. Standard-library files are outside + # the repository and are recorded instead by the replay's Python version. + paths={Path(__file__).resolve(),ROOT/'research/joint-helper-lattice/CONTROLLER.json', + ROOT/'research/query-thinned-controllers/RESULT.json'} + for module in tuple(sys.modules.values()): + name=getattr(module,'__file__',None) + if name: + path=Path(name).resolve() + if path.is_relative_to(ROOT) and path.is_file():paths.add(path) + result['source_sha256']={p.relative_to(ROOT).as_posix():sha256(p.read_bytes()).hexdigest() for p in sorted(paths)} + args.out.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print(json.dumps({k:result[k] for k in ('status','kappa','gain_over_PR4535','raw_root_interval','paid_calls','compiler')},indent=2)) diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/architecture/mixed_target_probe.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/architecture/mixed_target_probe.py new file mode 100644 index 0000000000..4fc05ab081 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/architecture/mixed_target_probe.py @@ -0,0 +1,291 @@ +#!/usr/bin/env python3 +"""Exact tariffs for productive helpers with heterogeneous target sizes. + +This is a conditional recursion-contract probe, not a new kappa claim. The +native helper adapters, main controller closure, scalar/precision charges, +and the mixed-target outer theorem remain separate obligations. + +Apache-2.0. Substantial OpenAI assistance. The original pruned native profile +and helper inventory come from the preserved kappa-function-composition work. +Mixed-target balance follows Jacob Alan Sussman's PR4268 proposal; this file +does not reprove or admit its all-size or integer-multiplication transfer. +The rational elementary-function enclosure follows the independently retained +productive_helper_forest.py recovery certificate, with fresh source identity. +""" +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import argparse +import json +import math +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +NATIVE = Counter({1:2453, 2:716, 3:224, 4:74, 5:48}) +HELPERS = Counter({5:28, 6:18, 7:56, 8:93, 9:213}) +OLD_PAIRS = [(56,9,7),(56,7,9),(18,9,6),(18,6,9), + (16,9,5),(16,5,9),(44,8,8)] +OLD_MIDDLE = [(93,8),(56,7),(18,6),(28,5),(29,0)] + +def need(ok, message): + if not ok: + raise AssertionError(message) + +@lru_cache(None) +def log_interval(r): + def odd_series(x): + z = (x-1)/(x+1) + n = 80 + low = 2*sum((z**(2*j+1)/(2*j+1) for j in range(n)), Q(0)) + high = low+2*z**(2*n+1)/((2*n+1)*(1-z*z)) + return low, high + exponent = r.bit_length()-1 + a,b = odd_series(Q(2)) + c,d = odd_series(Q(r,2**exponent)) + return exponent*a+c, exponent*b+d + +def exp_interval(x): + need(0 <= x < 1, 'Enclosure range') + term = total = Q(1) + n = 48 + for j in range(1,n+1): + term *= x/j + total += term + following = term*x/(n+1) + return total, total+following/(1-x/(n+2)) + +@lru_cache(None) +def h_interval(r,c): + if r in (0,1): + return Q(r),Q(r) + a,b = log_interval(r) + low,_ = exp_interval(c*a) + _,high = exp_interval(c*b) + return Q(r)/high,Q(r)/low + +def moment(profile,c): + low=high=Q(0) + for r,n in profile.items(): + a,b=h_interval(r,c) + low += n*(a if n >= 0 else b) + high += n*(b if n >= 0 else a) + return low,high + +def show(bounds): + scale=10**35 + low,high=bounds + a=low.numerator*scale//low.denominator + b=-((-high.numerator*scale)//high.denominator) + def fixed(n): + sign='-' if n<0 else '' + s=str(abs(n)).rjust(36,'0') + return sign+s[:-35]+'.'+s[-35:] + return {'lower':fixed(a),'upper':fixed(b)} + +def split_rank(r,maximum): + """Least concave tariff partition with positive integers <= maximum.""" + need(maximum>=1 and r>=0, 'Legal split') + q,remainder=divmod(r,maximum) + result=Counter() + if q: + result[maximum]+=q + if remainder: + result[remainder]+=1 + return result + +def split_profile(profile,maximum): + result=Counter() + for r,n in profile.items(): + for child,count in split_rank(r,maximum).items(): + result[child]+=n*count + return result + +def add_scaled(target,source,multiple=1): + for key,value in source.items(): + target[key]+=multiple*value + +def base_case(p,minimum,pairs=None,middle=None): + """Expand all role inventories; one fresh global field per unhosted role.""" + need(p in (1,2), 'Only reconstructed p1 and p2 schedules are in scope') + need(2<=minimum<=41, 'Finite minimum-target menu') + calls=2*p+1 + main_fields=224*p + main_rank=16*p+9 + inventories=[Counter(HELPERS) for _ in range(calls)] + paid=split_profile(NATIVE,minimum-1) + paid=Counter({r:calls*n for r,n in paid.items()}) + paid[1]+=8*calls # same-width H completion, never waived + targets=Counter({main_rank:main_fields}) + if p==1: + need(pairs is None and middle is None, 'p1 has no original idle bins') + else: + pairs=pairs if pairs is not None else [(224,0,0)] + middle=middle if middle is not None else [(224,0)] + need(sum(n for n,a,b in pairs)==224, 'Each pair window has 224 bins') + need(sum(n for n,a in middle)==224, 'Middle window has 224 bins') + for stages in [(0,1),(3,4)]: + for n,a,b in pairs: + need(a+b<=16 and a in (0,5,6,7,8,9) and b in (0,5,6,7,8,9), 'Pair capacities') + for stage,r in zip(stages,(a,b)): + if r: + inventories[stage][r]-=n + add_scaled(paid,split_rank(16-a-b,minimum-1),n) + for n,r in middle: + need(r in (0,5,6,7,8), 'Middle capacity') + if r: + inventories[2][r]-=n + add_scaled(paid,split_rank(8-r,minimum-1),n) + global_roles=Counter() + for inventory in inventories: + need(all(n>=0 for n in inventory.values()), 'No helper role used twice') + global_roles.update(inventory) + for r,n in global_roles.items(): + if not n: + continue + target=max(r,minimum) + targets[target]+=n + add_scaled(paid,split_rank(target-r,minimum-1),n) + paid=+paid + targets=+targets + need(max(paid)0] + # Middle bins are independent single slots; choose positive-gain roles first. + candidates=sorted(((sp(8)-sp(8-r)-value(r),r) for r in (5,6,7,8)),reverse=True) + middle=[] + left=224 + for gain,r in candidates: + if gain>1e-12: + n=min(HELPERS[r],left) + if n: + middle.append((n,r)) + left-=n + if left: + middle.append((left,0)) + return pairs,middle,{'status':int(out.status),'message':out.message,'not_an_exact_optimality_claim':True} + +def run(discover=False): + candidates=[] + for p in (1,2): + for minimum in range(2,26): + candidates.append(base_case(p,minimum)) + candidates.append(base_case(2,9,OLD_PAIRS,OLD_MIDDLE)) + discovery=[] + if discover: + for c in (.001745,.004): + for minimum in range(5,18): + pairs,middle,meta=discover_pair_patterns(minimum,c) + case=base_case(2,minimum,pairs,middle) + case['discovery_target']=str(c) + case['solver']=meta + discovery.append(case) + candidates.extend(discovery) + best={} + for p in (1,2): + for text in ('0.001745','0.004'): + c=Q(text) + rows=[case for case in candidates if case['p']==p] + ranked=sorted(rows,key=lambda case:-numerical_value(case['signed'],float(c))) + winner=ranked[0] + # Certify that this displayed winner beats all numerically distinct + # profiles in the finite scanned menu, not all possible schedules. + win=moment(winner['signed'],c) + for case in ranked[1:]: + if dict(case['signed'])!=dict(winner['signed']): + need(win[0]>moment(case['signed'],c)[1], 'Exact finite-menu ordering') + best[f'p{p}_{text}']=serialize_case(winner) + controls={} + wrong=base_case(1,6) + wrong['targets'][6]+=1 + controls['unearned_output_credit_rejected']=(sum(r*n for r,n in wrong['targets'].items())-wrong['rank_bill']!=wrong['rank_margin']) + controls['rank5_child_with_job5_rejected']=not(5<5) + need(all(controls.values()), 'Corruption controls') + return {'schema':'productive-helper-mixed-target-tariff/1', + 'status':'PASS_CONDITIONAL_EXACT_ACCOUNTING', + 'source_sha256':sha256(Path(__file__).read_bytes()).hexdigest(), + 'native_profile':dict(NATIVE),'helper_inventory':dict(HELPERS), + 'assumed_recursive_rule':'sum_paid n_r r^(1-C) < sum_targets W_k k^(1-C); max_paid_rank < min_target_rank', + 'best_in_finite_menu':best, + 'fixed_p2_minimum9':serialize_case(base_case(2,9,OLD_PAIRS,OLD_MIDDLE)), + 'discovery_candidates':[serialize_case(c) for c in discovery], + 'controls':controls, + 'not_proved':['native whole-helper adapters and arbitrary-input block diagonal contract', + 'correct main controller and all its heads/caches/cleanup', + 'literal eligibility of any displayed head-cut grant', + 'mixed-target all-size recursion in this native model', + 'finite-precision integer-multiplication transfer and scalar/stock costs'], + 'new_kappa':False} + +def main(): + parser=argparse.ArgumentParser(description=__doc__) + parser.add_argument('--discover',action='store_true') + parser.add_argument('--output',type=Path,default=HERE/'MIXED-TARGET-PROBE.json') + args=parser.parse_args() + result=run(args.discover) + args.output.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print(json.dumps({'status':result['status'],'best':{k:v['targets_at_C'][k.split('_',1)[1]]['after_native_completion_before_main_closure'] for k,v in result['best_in_finite_menu'].items()}},sort_keys=True)) + +if __name__=='__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/complex/native_extensions.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/complex/native_extensions.py new file mode 100644 index 0000000000..7f84894efc --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/complex/native_extensions.py @@ -0,0 +1,233 @@ +#!/usr/bin/env python3 +"""Native embedded query logger and common-frame H conjugation contacts. + +Apache-2.0. Substantial OpenAI assistance. These are fresh constructions with +explicit arbitrary-input endpoints. An embedded cache output is not claimed +as an independent clean helper output until a whole caller erases its defect. +""" +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path +import argparse +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +import rebuild_native as N +import power_two_balance as B + +B_SHA = '76929bb3887911ccf100c4593574b8a1c82ee64e96f939a8aca196869438b424' + + +def common_frame_h(geo, offset, frame): + """H = diag(I,-I) S_L S_-K S_L, with all shear ADDs having coefficient ±1. + + Balancing only the eight selected coordinates avoids scaling104 ordinary + coordinates. No private field and no recursive transport are introduced. + Precondition: ALL112 physical fields share the stated actual frame gauge. + """ + A = geo['selected'] + out = [['phase', 'fresh_common_frame_H']] + def scale(n, d): + out.extend(N.scalar(['scale', ['L', offset+a], n, d], frame) for a in A) + def left(): + for k, a in enumerate(A): + for u, value in sorted(geo['L'][k].items()): + coefficient = 2*value + N.need(abs(coefficient) == 1, 'Balanced unit L coefficients') + out.append(N.scalar(['add', ['L', offset+a], ['L', offset+u], int(coefficient), 1], frame)) + scale(2, 1); left(); scale(1, 4) + for k, a in enumerate(A): + for u, value in sorted(geo['L'][k].items()): + coefficient = -2*value + out.append(N.scalar(['add', ['L', offset+u], ['L', offset+a], int(coefficient), 1], frame)) + scale(4, 1); left(); scale(-1, 2) + N.need(B.scalar_sum(out) == 10096, 'Exact common-frame H scalar allowance') + return out + + +def embedded_cache_roles(canonical): + roles = [i for i in range(224, 632) if canonical['start'][i] == 0 and canonical['final'][i] == 1] + N.need(len(roles) == 213, '213 genuinely cold, full-ended native helper roles') + return roles[:8] + + +def embedded_logger_suffix(canonical, geo, roles=None): + roles = embedded_cache_roles(canonical) if roles is None else list(roles) + N.need(len(roles) == len(set(roles)) == 8, 'Eight distinct embedded caches') + N.need(all(224 <= i < 632 and canonical['start'][i] == 0 and canonical['final'][i] == 1 for i in roles), + 'Embedded logger only uses cold full-ended physical helper references') + out = [['phase', 'fresh_embedded_dirty_logger']] + for k, a in enumerate(geo['selected']): + r = roles[k] + out += [N.scalar(['scale', ['L', r], 2, 1], 1), + N.scalar(['add', ['L', r], ['L', a], 2, 1], 1)] + out += [N.scalar(['add', ['L', r], ['L', u], int(2*q), 1], 1) + for u, q in sorted(geo['L'][k].items())] + out.append(N.scalar(['scale', ['L', r], 1, 2], 1)) + N.need(B.scalar_sum(out) == 3440, 'Embedded logger exact scalar bill') + return out + + +def make_embedded_logger(canonical, base_word, geo): + word = B.make_balanced_h(canonical, base_word, geo)['forward'] + return word+embedded_logger_suffix(canonical, geo) + + +def make_wrapped_h(canonical, base_word, geo): + words = B.make_balanced_h(canonical, base_word, geo) + return {direction: common_frame_h(geo, 112, 0)+word+common_frame_h(geo, 0, 1) + for direction, word in words.items()} + + +def literal_replay(v, c, program, backward=False): + """Second literal evaluator for new endpoints; all632 inputs arbitrary. + + This checker has no endpoint-specific shortcut. It applies every scalar + and free-warp event and checks each contact's frame before comparing rows. + """ + rows = {('L', i): v.identity(('L', i)) for i in range(632)} + rows['C', 0] = v.identity(('C', 0)) + current = {('L', i): f for i, f in enumerate(c['start'])}; current['C', 0] = None + spaces = [v.span(frame) for frame in c['frames']] + profile = Counter(); cost = 0; max_l1 = Q(1); witness = None; max_denominator = 1 + for j, event in enumerate(program): + kind = event[0]; touched = None + if kind == 'scalar': + g, frame = event[1:]; target = tuple(g[1]); touched = target + cost += N.primitive_allowance(g) + if g[0] == 'clear': + N.need(target == ('C', 0), 'Only owned C0 can be cleared') + rows[target] = {}; current[target] = frame + else: + N.need(current[target] == frame, 'Exact scalar target frame') + if g[0] in ('add', 'copy'): + source = tuple(g[2]); N.need(current[source] == frame, 'Exact scalar source frame') + if g[0] == 'copy': + N.need(target == ('C', 0), 'Only owned field overwritten by copy') + rows[target] = dict(rows[source]) + else: + N.need(target != source, 'Distinct reversible ADD arguments') + v.add(rows[target], rows[source], Q(g[3], g[4])) + else: + N.need(g[0] == 'scale', 'Known scalar action') + q = Q(g[2], g[3]); rows[target] = {i: q*x for i, x in rows[target].items()} + elif kind == 'warp': + _, r, op, old, new = event; target = tuple(r); touched = target + N.need(current[target] == old, 'Warp input frame') + rows[target] = v.warp(rows[target], op, backward); current[target] = new + elif kind in ('climb', 'center'): + if kind == 'climb': + _, part, i, old, new, rank = event; target = ('L', i) + N.need(spaces[old] < spaces[new], 'Ascending borrowed climb') + else: + _, i, old, new, rank = event; target = ('C', i) + N.need(spaces[old] < spaces[new] or spaces[new] < spaces[old], 'Nested center transport') + N.need(current[target] == old and rank == abs(len(c['frames'][new])-len(c['frames'][old])), 'Paid rank and source frame') + current[target] = new; profile[rank] += 1 + else: + N.need(kind in ('phase', 'adapter', 'residual_adapter'), 'Known inert native marker') + if touched is not None: + norm = sum(map(abs, rows[touched].values()), Q(0)) + if norm > max_l1: + max_l1 = norm; witness = dict(event=j, role=list(touched)) + max_denominator = max(max_denominator, max((x.denominator for x in rows[touched].values()), default=1)) + N.need([current['L', i] for i in range(632)] == c['final'], 'Final native frames') + N.need(not rows['C', 0], 'Owned C0 cleared at return') + return rows, dict(independent_persistent_columns=632, independent_owned_entry_columns=1, + scalar_frames_checked=True, arbitrary_owned_C0_cleared=True, + paid_profile=dict(sorted(profile.items())), paid_rank_mass=sum(k*x for k, x in profile.items()), + real_scalar_allowance=cost, max_formal_prefix_l1=str(max_l1), max_denominator=max_denominator, + l1_witness=witness) + + +def check_rows(v, rows, geo, kind, backward=False, cache_roles=()): + mismatch = [] + for r in range(632): + actual = rows['L', r] + if kind == 'wrapped' and r < 224: + port = r % 112; wanted = {} + for j, q in geo['H'][port].items(): + v.add(wanted, v.identity(('L', (112 if r >= 112 else 0)+j)), q) + if backward and r < 112: + v.add(wanted, v.identity(('L', 112+j)), -q) + if not backward and r >= 112: + v.add(wanted, v.identity(('L', j)), q) + else: + wanted = v.identity(('L', r)) + if 112 <= r < 224: + for j, q in geo['H'][r-112].items(): + v.add(wanted, v.identity(('L', j)), q) + if r in cache_roles: + k = list(cache_roles).index(r) + for j, q in {geo['selected'][k]: Q(1), **geo['L'][k]}.items(): + v.add(wanted, v.identity(('L', j)), q) + if actual != wanted: + mismatch.append(r) + N.need(not mismatch, 'Fresh exact endpoint mismatch '+repr(mismatch[:5])) + + +def check_scalar_h(v, geo): + """Independent112-column execution without native body or Clifford data.""" + rows = {i: {i: Q(1)} for i in range(112)} + program = common_frame_h(geo, 0, 0) + for event in program: + if event[0] != 'scalar': + continue + g = event[1]; target = g[1][1] + if g[0] == 'scale': + q = Q(g[2], g[3]); rows[target] = {i: q*x for i, x in rows[target].items()} + else: + v.add(rows[target], rows[g[2][1]], Q(g[3], g[4])) + N.need(all(rows[i] == geo['H'][i] for i in range(112)), 'Three balanced shears exactly equal H') + return dict(all_columns=112, real_scalar_allowance=B.scalar_sum(program), + additions=sum(e[0] == 'scalar' and e[1][0] == 'add' for e in program), + unit_add_coefficients=True, owned_fields=0, new_recursive_children=0, + required_physical_precondition='All112 fields occupy one actual common frame reference.') + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--out', type=Path, default=HERE/'extension-certificates') + args = ap.parse_args(); args.out.mkdir(parents=True, exist_ok=True) + N.need(N.digest(HERE/'rebuild_native.py') == B.N_SHA and N.digest(HERE/'power_two_balance.py') == B_SHA, + 'Authenticated fresh prerequisite sources') + p, v, ce, receipt, inherited = N.authenticated(); geo = N.geometry(v.PACKET) + result = dict(schema='fresh-native-helper-log-and-common-frame-conjugation/1', + source_sha256=N.digest(Path(__file__)), reconstruction_source_sha256=B.N_SHA, + balance_source_sha256=B_SHA, scalar_H=check_scalar_h(v, geo), providers={}, no_new_kappa_claimed=True) + for tag in N.TAGS: + c = N.read(N.BASE/(tag+'-CANONICAL.json.gz')); word = N.read(N.BASE/(tag+'-NATIVE-WORD.json.gz')) + base_scalar = B.scalar_sum(word['forward']) + roles = embedded_cache_roles(c); embedded = make_embedded_logger(c, word, geo) + rows, embedded_check = literal_replay(v, c, embedded) + check_rows(v, rows, geo, 'embedded', cache_roles=roles) + N.need(embedded_check['real_scalar_allowance'] == base_scalar+3504+3440, 'Embedded complete scalar invoice') + wrapped = make_wrapped_h(c, word, geo); wrapped_checks = {} + for direction, program in wrapped.items(): + back = direction == 'backward' + rows, checked = literal_replay(v, c, program, back) + check_rows(v, rows, geo, 'wrapped', back) + N.need(checked['real_scalar_allowance'] == base_scalar+3504+2*10096, 'Wrapped H complete scalar invoice') + wrapped_checks[direction] = checked + ep = args.out/(tag+'-EMBEDDED-LOGGER.json.gz'); wp = args.out/(tag+'-SCALAR-WRAPPED-H.json.gz') + result['providers'][tag] = dict( + embedded_logger=dict(artifact=ep.name, sha256=N.save(ep, embedded), check=embedded_check, + cache_roles=roles, exactly_400_other_helpers_restored=True, + cache_output='d_k + X_A[k] + L[k] X_U', extra_children=0, + extra_persistent_fields=0, extra_owned_fields=0, extra_scalar_allowance=3440, + independent_clean_output_credit_for_eight_caches=False), + scalar_wrapped_H=dict(artifact=wp.name, sha256=N.save(wp, wrapped), checks=wrapped_checks, + endpoint='diag(H,H) times the corresponding identity shear in local logical coordinates', + new_recursive_children_beyond_H=0, extra_scalar_allowance=20192, + all_408_helpers_restored=True, + outer_intercall_frame_identification_certified=False)) + N.save(args.out/'RESULT.json', result) + print('PASS extensions', tag, 'embedded0 extra children; wrapped H20192 extra scalars', flush=True) + result['status'] = 'PASS_LOCAL_NATIVE_ENDPOINTS_WITH_EXPLICIT_OUTER_FRAME_OBLIGATION' + N.save(args.out/'RESULT.json', result) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..46d929df83817b85a5387bcdb9745e0627d6366e GIT binary patch literal 207673 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Apache-2.0. +This extends Ali Romman's one-relation PR5377 at c448d13c71908647f968b06cddb795ce7d288139. +The source word is by Cao Yifan. The row convention and scalar allowance +follow the credited native work of Cinna Davis and zxv. +""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha1, sha256 +from pathlib import Path +import gzip +import importlib.util +import json +import sys + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +SOURCE = 'research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz' +PHASE = 'research/kappa-round3-warp-20261022/PHASE-VALIDATION.json.gz' +PAYLOAD = 'cfcd36b40326d7a5815e1db5313444379b3fb756b27d5201c561574c085cc0dd' +WITNESSES = json.loads((HERE / 'WITNESS.json').read_text(encoding='utf-8')) +COUNT = 8 +OLD_PAID = {1: 2201, 2: 412, 3: 510, 4: 127, 5: 40, 8: 8} +NEW_PAID = dict(OLD_PAID) +NEW_PAID[1] -= COUNT +NEW_PAID.pop(8) +OLD_HELPERS = {4: 28, 7: 7, 8: 47, 9: 326} + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def encode(x): + if isinstance(x, Q): + return str(x) + if isinstance(x, dict): + return {str(k): encode(v) for k, v in x.items()} + if isinstance(x, (list, tuple)): + return [encode(v) for v in x] + return x + + +def load(relative, name): + spec = importlib.util.spec_from_file_location(name, ROOT / relative) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def authenticate(): + pins = read(HERE / 'SOURCES.json') + for row in pins['files']: + if row['usage'] != 'input': + continue + p = ROOT + for part in Path(row['path']).parts: + p /= part + need(not p.is_symlink(), 'No source aliases') + raw = p.read_bytes() + need(sha256(raw).hexdigest() == row['sha256'], 'Changed source: ' + row['path']) + need(sha1(b'blob ' + str(len(raw)).encode() + b'\0' + raw).hexdigest() == row['git_blob'], 'Source Git blob') + need(sha256(gzip.decompress((ROOT / SOURCE).read_bytes())).hexdigest() == PAYLOAD, 'Exact source payload') + return pins + + +def span(basis): + out = {0} + for vector in basis: + need(isinstance(vector, int) and 0 <= vector < 512, 'Binary frame coordinate') + out |= {v ^ vector for v in tuple(out)} + need(len(out) == 2 ** len(basis), 'Independent frame basis') + return out + + +def add(dst, src, q): + for k, v in tuple(src.items()): + value = dst.get(k, Q(0)) + q * v + if value: + dst[k] = value + else: + dst.pop(k, None) + + +def allowance(g): + if g[0] in ('clear', 'copy'): + return 2 + q = Q(*g[3:]) if g[0] == 'add' else Q(*g[2:]) + n, d = abs(q.numerator), q.denominator + need(n > 0 and d & (d - 1) == 0, 'Nonzero dyadic scalar') + if g[0] == 'scale': + need(n & (n - 1) == 0, 'Dyadic unit SCALE') + return 2 * (abs(n.bit_length() - d.bit_length()) + int(q < 0)) + need(g[0] == 'add', 'Known scalar operation') + return 2 * (3 + n.bit_length() - 1 + n.bit_count() + d.bit_length() - 1) + + +def relation_system(): + """Find exact independent pivots and eliminate all other pivot columns.""" + basis = {} + need(len(WITNESSES) == COUNT, 'Eight declared witnesses') + for witness in WITNESSES: + pairs = witness['relation'] + row = {h: Q(q) for h, q in pairs} + need(len(row) == len(pairs) and all(224 <= h < 632 and q for h, q in row.items()), 'Distinct helper coefficients') + for pivot, prior in sorted(basis.items()): + add(row, prior, -row.get(pivot, Q(0))) + need(row, 'Independent helper relations') + pivot = min(row); scale = row[pivot] + row = {h: q / scale for h, q in row.items()} + for prior in basis.values(): + add(prior, row, -prior.get(pivot, Q(0))) + basis[pivot] = row + need(len(basis) == COUNT, 'Eight paid helper outputs removed') + for pivot, row in basis.items(): + need(all(row.get(h, 0) == int(h == pivot) for h in basis), 'Reduced pivot columns') + return dict(sorted(basis.items())) + + +BASIS = relation_system() + + +def construct(source): + c = source['canonical']; old = source['programs']['backward'] + all_helpers = {h for x in WITNESSES for h, _ in x['relation']} + need(all(c['start'][h] == 0 and c['final'][h] == 1 for h in all_helpers), 'Every relation uses cold full-ended helpers') + snapshots, centers, zeros = {}, {}, {} + for slot, x in enumerate(WITNESSES, 1): + frame, role = x['frame'], x['cached_role'] + need(old[x['event']] == ['center', 0, 0, frame, 8], 'Exact source center') + event = old[x['cached_event']] + need(event[0] == 'climb' and event[2] == role and event[4] == frame, 'Exact snapshot source') + need(old[x['zero_event']] == ['climb', 'warp_retimed', x['zero_role'], frame, 1, 1], 'Exact zero source job') + need(x['cached_event'] < x['event'] < x['zero_event'] and Q(x['copy_factor']) == 1, 'Snapshot chronology and COPY coefficient') + snapshots[x['cached_event']] = (slot, x) + centers[x['event']] = (slot, x) + zeros[x['zero_event']] = x + need(len(snapshots) == len(centers) == len(zeros) == COUNT, 'Distinct replacement sites') + word = [] + for pivot, row in BASIS.items(): + word.append(['scalar', ['clear', ['L', pivot]], 0]) + for h, q in sorted(row.items()): + if h != pivot: + word.append(['scalar', ['add', ['L', pivot], ['L', h], -q.numerator, q.denominator], 0]) + for index, event in enumerate(old): + if index in centers: + slot, x = centers[index]; f = x['frame'] + word += [['scalar', ['clear', ['C', 0]], f], + ['scalar', ['copy', ['C', 0], ['C', slot]], f], + ['scalar', ['clear', ['C', slot]], f]] + elif index in zeros: + x = zeros[index] + word.append(['zero_retag', ['L', x['zero_role']], x['frame'], 1]) + else: + word.append(deepcopy(event)) + if index in snapshots: + slot, x = snapshots[index]; f = x['frame'] + word += [['scalar', ['clear', ['C', slot]], f], + ['scalar', ['copy', ['C', slot], ['L', x['cached_role']]], f]] + word += [['scalar', ['clear', ['L', h]], 1] for h in BASIS] + physical = deepcopy(c); physical.pop('local_profile') + return {'schema': 'joint-helper-relations-word/1', 'canonical': physical, + 'relation_basis': encode(BASIS), + 'paid_profiles': {'forward': OLD_PAID, 'backward': NEW_PAID}, + 'owned': {'forward': [['C', 0]], 'backward': [['C', i] for i in range(COUNT + 1)] + [['L', h] for h in BASIS]}, + 'programs': {'forward': deepcopy(source['programs']['forward']), 'backward': word}} + + +def replay(c, program, backward, specialized): + """Run every event on all independent entry columns and exact frames.""" + owned = {('C', 0)} | ({('C', i) for i in range(1, COUNT + 1)} | {('L', h) for h in BASIS} if specialized else set()) + roles = {('L', i) for i in range(632)} | owned + rows = {r: {(r, ()): Q(1)} for r in roles} + frames = {('L', i): f for i, f in enumerate(c['start'])} + frames.update({r: None for r in owned if r[0] == 'C'}) + spaces = [span(b) for b in c['frames']] + paid = Counter() + cost, max_l1, denominator, zero_count = 0, Q(1), 1, 0 + for e in program: + kind, touched = e[0], None + if kind == 'scalar': + g, frame = e[1:] + dst = tuple(g[1]); touched = dst + need(dst in rows and 0 <= frame < len(spaces), 'Declared scalar destination and frame') + cost += allowance(g) + if g[0] == 'clear': + need(dst in owned, 'Only owned fields can be erased') + rows[dst] = {}; frames[dst] = frame + else: + need(frames[dst] == frame, 'Exact scalar destination frame') + if g[0] in ('add', 'copy'): + src = tuple(g[2]) + need(src in rows and frames[src] == frame and dst != src, 'Exact scalar source frame') + if g[0] == 'copy': + need(dst in owned and not rows[dst], 'COPY into cleared owned storage') + rows[dst] = dict(rows[src]) + else: + add(rows[dst], rows[src], Q(g[3], g[4])) + else: + need(g[0] == 'scale', 'Known scalar operation') + rows[dst] = {k: Q(g[2], g[3]) * v for k, v in rows[dst].items()} + elif kind == 'warp': + _, role, op, old, new = e + dst = tuple(role); touched = dst + need(frames[dst] == old and 1 <= abs(op) <= len(c['warps']), 'Exact warp input') + symbol = (1 if op > 0 else -1) * (abs(op) + (10**6 if backward else 0)) + rows[dst] = {(r, w[1:] if w and w[0] == -symbol else (symbol,) + w): q + for (r, w), q in rows[dst].items()} + frames[dst] = new + elif kind in ('climb', 'center'): + if kind == 'climb': + _, _, i, old, new, rank = e + dst = ('L', i) + need(spaces[old] < spaces[new], 'Ascending paid climb') + else: + _, i, old, new, rank = e + dst = ('C', i) + need(spaces[old] < spaces[new] or spaces[new] < spaces[old], 'Nested paid center') + need(frames[dst] == old and rank == abs(len(c['frames'][new]) - len(c['frames'][old])), 'Exact paid rank and frame') + frames[dst] = new; paid[rank] += 1 + elif kind == 'zero_retag': + _, role, old, new = e + dst = tuple(role) + need(specialized and backward and any(dst == ('L', x['zero_role']) and (old, new) == (x['frame'], 1) for x in WITNESSES), 'Declared zero identity') + need(frames[dst] == old and not rows[dst], 'Zero identity requires an identically zero full row') + frames[dst] = new; zero_count += 1 + else: + need(kind in ('phase', 'adapter'), 'Known inert source marker') + if touched is not None: + max_l1 = max(max_l1, sum(map(abs, rows[touched].values()), Q(0))) + denominator = max(denominator, max((q.denominator for q in rows[touched].values()), default=1)) + need([frames['L', i] for i in range(632)] == c['final'], 'Every final native frame') + for i in range(632): + r = ('L', i) + if r in owned: + continue + expected = {(r, ()): Q(1)} + if i < 112 if backward else 112 <= i < 224: + expected[(('L', i + 112 if backward else i - 112), ())] = Q(-1 if backward else 1) + need(rows[r] == expected, 'Every independent main/helper endpoint: ' + str(i)) + need(all(not rows[r] for r in owned), 'Every owned entry column is erased at return') + need(zero_count == COUNT * int(specialized), 'All eight zero identities checked') + helpers = Counter() + for i in range(224, 632): + if ('L', i) in owned: + continue + a, b = c['start'][i], c['final'][i] + need(spaces[a] < spaces[b], 'Strict independent productive helper') + helpers[len(c['frames'][b]) - len(c['frames'][a])] += 1 + return {'paid': dict(sorted(paid.items())), 'helpers': dict(sorted(helpers.items())), + 'independent_persistent_columns': 632 - COUNT if specialized else 632, + 'independent_owned_entry_columns': len(owned), 'owned_outputs_zero': True, + 'real_scalar_allowance': cost, 'max_formal_prefix_l1': str(max_l1), + 'max_denominator': denominator, 'zero_identities': zero_count} + + +def independent_source_identities(source): + """Check unrestricted source identities with the predecessor row engine.""" + v = load('research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py', 'joint_relation_source_rows') + rows = {('L', i): v.identity(('L', i)) for i in range(632)} + rows['C', 0] = v.identity(('C', 0)); saved = {}; checked = [] + for index, e in enumerate(source['programs']['backward']): + if e[0] == 'scalar': + g = e[1]; dst = tuple(g[1]) + if g[0] == 'clear': rows[dst] = {} + elif g[0] == 'copy': rows[dst] = dict(rows[tuple(g[2])]) + elif g[0] == 'scale': rows[dst] = {k: Q(g[2], g[3]) * a for k, a in rows[dst].items()} + else: v.add(rows[dst], rows[tuple(g[2])], Q(g[3], g[4])) + elif e[0] == 'warp': + dst = tuple(e[1]); rows[dst] = v.warp(rows[dst], e[2], True) + for x in WITNESSES: + delta = {(('L', h), ()): Q(q) for h, q in x['relation']} + if index == x['cached_event']: + saved[index] = dict(rows['L', x['cached_role']]) + if index == x['event']: + diff = dict(rows['C', 0]); v.add(diff, saved[x['cached_event']], -Q(x['copy_factor'])) + need(diff == {k: Q(x['difference_factor']) * q for k, q in delta.items()}, 'Independent exact center minus snapshot identity') + checked.append(('center', index)) + if index == x['zero_event']: + need(rows['L', x['zero_role']] == {k: Q(x['zero_factor']) * q for k, q in delta.items()}, 'Independent exact zero-site row identity') + checked.append(('zero', index)) + need(len(checked) == 2 * COUNT, 'Sixteen unrestricted source identities') + need(all(rows['L', i] == v.expected(('L', i), [], True, False) for i in range(632)), 'Independent unrestricted source endpoints') + return {'source_event_indices_are_zero_based': True, 'witnesses': WITNESSES, + 'relation_rank': COUNT, 'owned_pivots': list(BASIS), 'reduced_basis': BASIS, + 'snapshot_terms_before_substitution': {i: len(row) for i, row in saved.items()}, + 'checked': checked} + + +def phase_inheritance(source, candidate): + receipt = read(ROOT / PHASE) + need(receipt['status'] == 'PASS_JOINT_HELPER_MAPS_ALL_ACTUAL_ABSOLUTE_PHASES' and + receipt['actual_word_canonical_sha256'] == PAYLOAD, 'Authenticated source absolute-phase receipt') + physical = deepcopy(source['canonical']); physical.pop('local_profile') + need(candidate['canonical'] == physical, 'Every frame, native map and main adapter unchanged') + for direction, program in candidate['programs'].items(): + old = source['programs'][direction] + for kind in ('warp', 'adapter', 'phase'): + need([e for e in program if e[0] == kind] == [e for e in old if e[0] == kind], 'Exact inherited ' + kind + ' sequence') + old_paid = Counter(tuple(e) for e in old if e[0] in ('climb', 'center')) + new_paid = Counter(tuple(e) for e in program if e[0] in ('climb', 'center')) + expected = Counter() if direction == 'forward' else Counter(tuple(old[i]) for x in WITNESSES for i in (x['event'], x['zero_event'])) + need(old_paid - new_paid == expected and not new_paid - old_paid, 'Only the sixteen proved jobs are removed') + return {'new_gaussian_operators': 0, 'new_native_maps': 0, + 'all_retained_paid_events_and_warps_from_source': True, + 'absolute_phase_receipt_reused': PHASE, + 'source_amplitudes_and_phase_lowering_freshly_replayed': False, + 'new_operations': 'Same-frame COPY, owned CLEAR/ADD, and physical identity on a proved zero row.'} + + +def controls(c, candidate): + controls = {} + base = candidate['programs']['backward'] + variants = {} + bad = deepcopy(base); bad[1][1][3] *= -1; variants['wrong_relation_sign'] = bad + variants['missing_owned_input_clear'] = deepcopy(base[1:]) + bad = deepcopy(base) + next(e for e in bad if e[0] == 'scalar' and e[1][:2] == ['copy', ['C', 1]])[1][2] = ['L', 63] + variants['wrong_snapshot_source'] = bad + bad = deepcopy(base); next(e for e in bad if e[0] == 'zero_retag')[2] = 0 + variants['wrong_zero_input_frame'] = bad + bad = deepcopy(base); next(e for e in bad if e[0] == 'climb')[5] += 1 + variants['under_or_overstated_paid_rank'] = bad + bad = deepcopy(base) + next(e for e in bad if e[0] == 'scalar' and e[1][:2] == ['copy', ['C', 0]])[2] = 0 + variants['wrong_copy_gauge'] = bad + variants['uncleared_owned_output'] = deepcopy(base[:-1]) + for name, program in variants.items(): + try: + replay(c, program, True, True) + except ValueError as err: + controls[name] = str(err) + else: + raise ValueError('Control accepted: ' + name) + return controls diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/price.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/price.py new file mode 100644 index 0000000000..2868905a16 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/price.py @@ -0,0 +1,198 @@ +"""Complete p16 bill and finite compiler for eight joint helper relations. + +The interval and compiler proof follows Cao Yifan's PR4610 pricing, Cinna +Davis's PR4470 controller, zxv's completion and logarithmic majorant, and +Jacob Alan Sussman's mixed-target recursion. Apache-2.0. +Ali Romman, with substantial OpenAI Codex assistance. +""" +from collections import Counter +from fractions import Fraction as Q +from native import ROOT, read, load, need, encode, OLD_PAID, OLD_HELPERS, COUNT + +KAPPA = Q('.00302666') +TESTED = Q('.00302667') +PREVIOUS = Q('.0030217758') +OLD_ROOT_UPPER = Q('.00302177587078') + + +def controller(): + """Check the literal p16 word and both rational boundary programs.""" + word = read(ROOT / 'research/joint-helper-lattice/CONTROLLER.json') + need((word['kind'], word['pairs'], word['prefix_pairs'], word['ambient_rank']) == ('complex', 16, 7, 145), 'Source p16/a7 controller') + zero = (0,) * 34 + def plus(dst, src, q): + for k, v in src.items(): + value = dst.get(k, Q(0)) + q * v + if value: dst[k] = value + else: dst.pop(k, None) + def shifted(row, term, sign=1): + return [{tuple(a + b for a, b in zip(k, term)): sign * v for k, v in cell.items()} for cell in row] + for side in ('left', 'right'): + matrix = [[Q(i == j) for j in range(32)] for i in range(32)] + for e in word['boundaries'][side + '_program']: + if e[0] == 'SWAP': matrix[e[1]], matrix[e[2]] = matrix[e[2]], matrix[e[1]] + elif e[0] == 'SCALE': matrix[e[1]] = [Q(e[2]) * x for x in matrix[e[1]]] + else: + need(e[0] == 'ADD', 'Boundary scalar opcode') + matrix[e[1]] = [x + Q(e[3]) * y for x, y in zip(matrix[e[1]], matrix[e[2]])] + need(matrix == [[Q(x) for x in row] for row in word['boundaries'][side]], 'Exact scalar boundary program') + rows = [[{zero: Q(x)} if Q(x) else {} for x in row] for row in word['boundaries']['right']] + for e in word['physical_events']: + if e[0] in ('LOCAL', 'QUERY_SHEAR'): + _, stage, pair, back = e + x, y = 2 * pair, 2 * pair + 1 + if back: x, y = y, x + term = (1 if back else -1,) + (0,) * 33 + for dst, src in zip(rows[y], shifted(rows[x], term)): + plus(dst, src, Q(-1 if back else 1)) + if e[0] == 'LOCAL': + term = (0,) + tuple(int(s == stage) for s in range(33)) + for r in (x, y): rows[r] = shifted(rows[r], term) + elif e[0] == 'IDLE': + term = (0,) + tuple(int(s in e[2]) for s in range(33)) + for r in (2 * e[1], 2 * e[1] + 1): rows[r] = shifted(rows[r], term) + elif e[0] == 'ADD': + for dst, src in zip(rows[e[1]], rows[e[2]]): plus(dst, src, Q(e[3])) + else: + need(e[0] in ('SWAP', 'SIGNED_SWAP'), 'Controller physical opcode') + rows[e[1]], rows[e[2]] = rows[e[2]], shifted(rows[e[1]], zero, -1 if e[0] == 'SIGNED_SWAP' else 1) + out = [[{} for _ in range(32)] for _ in range(32)] + for i, row in enumerate(word['boundaries']['left']): + for k, q in enumerate(row): + if Q(q): + for j in range(32): plus(out[i][j], rows[k][j], Q(q)) + expected = [[{tuple(word['diagonal'][i]): Q(1)} if i == j else {} for j in range(32)] for i in range(32)] + need(out == expected, 'All p16 Laurent coefficients, central signs and boundary factors') + return word + + +def assemble(native, word): + T, P = Counter(), Counter() + orientations = Counter(); thin = 0 + for e in word['physical_events']: + if e[0] == 'LOCAL': + direction = 'backward' if e[3] else 'forward' + orientations[direction] += 1 + T.update(native[direction]['helpers']); P.update(native[direction]['paid']) + elif e[0] == 'QUERY_SHEAR': thin += 1; P[1] += 112 + elif e[0] == 'IDLE': P[8 * len(e[2])] += 224 + main = Counter() + for term in word['diagonal']: + need(term[0] in (-1, 1) and all(x in (0, 1) for x in term[1:]), 'Whole Gaussian main target') + main[1 + 8 * sum(term[1:])] += 112 + T.update(main) + need(orientations == {'backward': 16, 'forward': 2} and thin == 15, 'Every actual call orientation') + # This second census uses the source invoice and the complete local deltas. + check_T = Counter({int(r): n for r, n in word['invoice']['main'].items()}) + check_T.update({r: 18 * n for r, n in OLD_HELPERS.items()}); check_T[9] -= 16 * COUNT + check_P = Counter({int(r): n for r, n in word['invoice']['whole_idle'].items()}) + check_P.update({r: 18 * n for r, n in OLD_PAID.items()}); check_P[1] += 1680 - 16 * COUNT; check_P[8] -= 16 * COUNT + need(T == check_T and P == check_P, 'Independent full invoice substitution') + need(sum(T.values()) == 10800 and sum(P.values()) == 64148, 'Complete productive and paid counts') + need(sum(r * n for r, n in T.items()) - sum(r * n for r, n in P.items()) == 752, 'Unchanged complete rank surplus') + return T, P + + +def run(native): + word = controller(); T, P = assemble(native, word) + prior = read(ROOT / 'research/kappa-round6-compiler-tightening-20261022/ARITHMETIC.json') + need(Q(prior['kappa']) == PREVIOUS and Q(prior['raw_root_interval'][1]) == OLD_ROOT_UPPER, 'Pinned prior conditional bound and raw crossing') + prior_T = Counter({int(r): n for r, n in prior['targets'].items()}) + prior_P = Counter({int(r): n for r, n in prior['paid'].items()}) + prior_T[9] -= 16 * COUNT; prior_P[1] -= 16 * COUNT; prior_P[8] -= 16 * COUNT + need(T == prior_T and P == prior_P, 'Complete delta from the final PR4610 bill') + E = load('research/higher-moment-strictification/verify.py', 'owned_relation_intervals') + other = load('research/kappa-rebuild/architecture/mixed_target_probe.py', 'owned_relation_second_intervals') + def margin(c): + t, p = E.moment(T, 1 - c), E.moment(P, 1 - c) + return t[0] - p[1], t[1] - p[0] + need(margin(Q('.00302238736348'))[0] > 0, 'Changed invoice beats the PR5377 raw crossing') + need(margin(OLD_ROOT_UPPER)[0] > 0, 'Changed invoice beats the prior raw root upper endpoint') + lo, hi, grid = 0, 10**12, 10**14 + while hi - lo > 1: + mid = (lo + hi) // 2 + if margin(Q(mid, grid))[0] > 0: lo = mid + else: hi = mid + root_low, root_high = Q(lo, grid), Q(hi, grid) + need(margin(root_low)[0] > 0 and margin(root_high)[1] < 0, 'Strict rational root enclosure') + need(PREVIOUS < KAPPA < TESTED < root_low, 'New bound and explicit compiler headroom') + # The complete signed profile decreases on [0, .05], and stays negative + # on [.05, 1]. This proves a fixed-profile ceiling, not a circuit ceiling. + signed = {r: T[r] - P[r] for r in T.keys() | P.keys()} + derivative, upper = None, None + for i in range(16): + l, r = Q(i, 320), Q(i + 1, 320); low = Q(0) + for rank, n in signed.items(): + term = E.mul(E.power(rank, 1 - r if n > 0 else 1 - l), E.log_bounds(rank)) + low += n * term[0 if n > 0 else 1] + derivative = low if derivative is None else min(derivative, low) + for i in range(128): + l, r = Q(1, 20) + Q(19 * i, 2560), Q(1, 20) + Q(19 * (i + 1), 2560) + value = sum(n * E.power(rank, 1 - l if n > 0 else 1 - r)[1 if n > 0 else 0] for rank, n in signed.items()) + upper = value if upper is None else max(upper, value) + need(derivative > 0 and upper < 0, 'Fixed-profile ceiling on all 0 < kappa < 1') + t, u, v, c, b = 1 - TESTED, Q(1, 5), 1024, 20, 21 + target, paid = E.moment(T, t), E.moment(P, t) + tl, th = other.moment(T, TESTED); pl, ph = other.moment(P, TESTED) + need(tl > ph and max(tl, target[0]) <= min(th, target[1]) and max(pl, paid[0]) <= min(ph, paid[1]), 'Two exact interval engines agree') + alpha = E.divide(paid, target) + gamma = E.divide(E.moment(P, t + u), E.mul(E.power(c, u), target)) + delta = E.divide((Q(sum(T.values()) * b),) * 2, E.mul(E.power(c, TESTED), target)) + reserve = Q(1, 10**9); g = d = Q(97, 100) + need(alpha[1] < 1 - reserve and gamma[1] < g and delta[1] < d, 'Original and completion tails charged') + need(g**128 < Q(1, 16) and d**128 < Q(1, 16), 'Two strict tail decay blocks') + normalized = 1 / (1 + v * reserve) + Q(4, 2**32) + need(normalized < 1 and c**64 < b**63, 'Paid completion, splitting and rounding') + theta, power = Q(63, 64), 1000 + eta = E.scale(E.power(145, -v * TESTED), t) + need(2 * (20**v)**64 <= (145**v)**63 and eta[0] > theta**power, 'Shifted exits and complement capacity') + need(E.power(145, v * TESTED)[1] < 2**power, 'Compiler initial range') + gap = (TESTED - KAPPA) / 7; need(gap.numerator == 1, 'Finite integer grid') + step = gap.denominator + def wins(j): return (step * j + 1)**power < 2**j + left, right = 1, 2 + while not wins(right): left, right = right, 2 * right + while right - left > 1: + mid = (left + right) // 2 + if wins(mid): right = mid + else: left = mid + height = step * right + need(height > 8 * v and wins(right) and not wins(right - 1), 'Finite uniform-rank threshold') + local_scalar = max(x['real_scalar_allowance'] for x in native.values()) + # Charge both routes for each of eight snapshots and eight owned helpers. + # The eight owned helpers use existing physical slots. + routes = (max(sum(x['paid'].values()) for x in native.values()) + 2 * 408 + 688 + 4 * COUNT) * 1000 + need(local_scalar + routes < 10**7, 'All new preparation, COPY, CLEAR and fixed routes fit') + scalar_upper = 18 * 10**7 + 15 * 1792 + 32 * 112 * (len(word['physical_events']) + sum(len(word['boundaries'][k + '_program']) for k in ('left', 'right'))) + need(scalar_upper < 10**9, 'Complete raw nonrecursive bound') + bit = read(ROOT / 'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom = Q(bit['atom']); ordinary = (1 - atom) * Q(bit['after_cover']) + atom * Q('.0000384599'); admitted = Q(bit['admitted']) + need(atom == Q('.004') and atom > ordinary > admitted > TESTED and atom < 1 - ordinary, 'Retained stronger BIT admission and stock') + L = load('research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py', 'owned_relation_outer') + params = {'kappa': KAPPA, 'tested_saving': TESTED, 'complex_uniform_saving': KAPPA + 6 * gap, + 'b': KAPPA + 5 * gap, 'a': KAPPA + 4 * gap, 'q': KAPPA + 3 * gap, 'bit_saving': admitted, + 'epsilon': 1 - gap, 'beta': 1 - 3 * gap, 'r0': gap / 10, 'stop': gap, 'layout': gap, 'd': gap} + outer = L.ledger(params); outer['functional_checks']['actual_new_BIT_stock_sublinear'] = params['beta'] * (1 - atom) + need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Complete outer predicate inventory') + need(all(x > 0 for key in ('strict_checks', 'functional_checks') for x in outer[key].values()), 'Every outer inequality is strict') + controls = {} + for name, patch in [('old_BIT', {'bit_saving': Q('.0027')}), ('closed_uniform', {'complex_uniform_saving': params['b']}), ('unfunded_endpoint', {'kappa': TESTED}), ('closed_epsilon', {'epsilon': Q(1)})]: + bad = L.ledger(dict(params, **patch)); failed = [k for k, x in bad['strict_checks'].items() if x <= 0] + need(failed, 'Reject outer patch ' + name); controls[name] = failed + bad_native = {d: dict(x) for d, x in native.items()} + bad_native['backward']['helpers'] = OLD_HELPERS + try: assemble(bad_native, word) + except ValueError: controls['unearned_helper_credit'] = 'Rejected by the independent complete census' + else: raise ValueError('Unowned helper credit was accepted') + return encode({'kappa': KAPPA, 'kappa_decimal': '.00302666', 'gain_over_PR4610': KAPPA - PREVIOUS, + 'gain_over_PR5377': KAPPA - Q('.00302235'), 'PR5377_raw_root_upper': Q('.00302238736348'), + 'raw_root_interval': [root_low, root_high], 'raw_headroom': [root_low - KAPPA, root_high - KAPPA], + 'margin_at_previous_kappa': E.display(margin(PREVIOUS)), + 'margin_at_previous_root_upper': E.display(margin(OLD_ROOT_UPPER)), + 'fixed_profile_ceiling': {'decreasing_through': Q(1, 20), 'derivative_upper': E.display((-derivative,) * 2), 'remaining_interval_moment_upper': E.display((upper,) * 2)}, + 'targets': T, 'paid': P, 'productive_fields': sum(T.values()), 'paid_calls': sum(P.values()), 'rank_mass_surplus': 752, + 'full_backward': 16, 'full_forward': 2, 'query_shears': 15, + 'strictification': {'tested': TESTED, 'power': v, 'cutoff': c, 'floor': b, 'tail_offset': u, 'reserve': reserve, 'alpha': E.display(alpha), 'gamma': E.display(gamma), 'delta': E.display(delta), 'normalized_paid_upper': normalized}, + 'compiler': {'theta': theta, 'logarithm_power': power, 'eta': E.display(eta), 'gap': gap, 'uniform_saving': params['complex_uniform_saving'], 'H': height, 'N': '2^' + str(height), 'integer_test_exponent': right, 'word_materialized': False}, + 'nonrecursive': {'local_scalar': local_scalar, 'local_routes': routes, 'raw_scalar_upper': scalar_upper, 'raw_budget': 10**9, 'additional_private_slots': COUNT, 'owned_slots_backward': 2 * COUNT + 1}, + 'ordinary_BIT': bit, 'outer': outer, 'negative_controls': controls}) diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/verify.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/verify.py new file mode 100644 index 0000000000..3f7eb9359a --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/verify.py @@ -0,0 +1,64 @@ +#!/usr/bin/env python3 +"""Replay the joint-relation native word and its complete conditional kappa. + +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +Read README.md for the source credit and inherited proof obligations. +""" +from hashlib import sha256 +import argparse +import gzip +import json +from pathlib import Path +import sys +sys.dont_write_bytecode = True +import native as N +import price + + +def run(): + N.authenticate() + source = N.read(N.ROOT / N.SOURCE) + candidate = N.construct(source) + c = candidate['canonical'] + before, after = {}, {} + for direction in ('forward', 'backward'): + back = direction == 'backward' + before[direction] = N.replay(c, source['programs'][direction], back, False) + after[direction] = N.replay(c, candidate['programs'][direction], back, back) + N.need(before[direction]['paid'] == N.OLD_PAID and before[direction]['helpers'] == N.OLD_HELPERS, 'Pinned source census') + N.need(after[direction]['paid'] == candidate['paid_profiles'][direction], 'Emitted direction-specific paid profile') + helpers = dict(N.OLD_HELPERS) + if back: helpers[9] -= N.COUNT + N.need(after[direction]['paid'] == (N.NEW_PAID if back else N.OLD_PAID) and after[direction]['helpers'] == helpers, 'Actual complete changed native census') + identities = N.independent_source_identities(source) + phase = N.phase_inheritance(source, candidate) + controls = N.controls(c, candidate) + arithmetic = price.run(after) + data = (json.dumps(candidate, sort_keys=True, separators=(',', ':')) + '\n').encode() + result = N.encode({'status': 'PASS_CONDITIONAL_KAPPA_00302666_EIGHT_JOINT_RELATIONS', + 'source_payload_sha256': N.PAYLOAD, 'word_payload_sha256': sha256(data).hexdigest(), + 'source_native': before, 'candidate_native': after, 'independent_source_identities': identities, + 'phase_inheritance': phase, 'native_negative_controls': controls, 'arithmetic': arithmetic, + 'scope': 'Exact finite word, full all-column endpoints, ownership, p16 bill and compiler arithmetic. Retains source native phase, allowed owned erasure, mixed-target all-size, analytic, precision, tape, prime and exact-recovery contracts. No selected-frontier update.'}) + return data, result + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--write', action='store_true', help='Write only this package word and result after all checks pass.') + ap.add_argument('--out', type=Path, help='Write a replay result to a separate path.') + args = ap.parse_args() + data, result = run() + if args.write: + (N.HERE / 'WORD.json.gz').write_bytes(gzip.compress(data, mtime=0)) + (N.HERE / 'RESULT.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n', encoding='utf-8') + else: + N.need(gzip.decompress((N.HERE / 'WORD.json.gz').read_bytes()) == data, 'Exact literal published word') + N.need(N.read(N.HERE / 'RESULT.json') == result, 'Exact published replay result') + if args.out: + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n', encoding='utf-8') + print(json.dumps({'status': result['status'], **{k: result['arithmetic'][k] for k in ('kappa', 'gain_over_PR4610', 'gain_over_PR5377', 'raw_root_interval', 'paid_calls', 'productive_fields')}}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-rebuild/architecture/mixed_target_probe.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-rebuild/architecture/mixed_target_probe.py new file mode 100644 index 0000000000..4fc05ab081 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-rebuild/architecture/mixed_target_probe.py @@ -0,0 +1,291 @@ +#!/usr/bin/env python3 +"""Exact tariffs for productive helpers with heterogeneous target sizes. + +This is a conditional recursion-contract probe, not a new kappa claim. The +native helper adapters, main controller closure, scalar/precision charges, +and the mixed-target outer theorem remain separate obligations. + +Apache-2.0. Substantial OpenAI assistance. The original pruned native profile +and helper inventory come from the preserved kappa-function-composition work. +Mixed-target balance follows Jacob Alan Sussman's PR4268 proposal; this file +does not reprove or admit its all-size or integer-multiplication transfer. +The rational elementary-function enclosure follows the independently retained +productive_helper_forest.py recovery certificate, with fresh source identity. +""" +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import argparse +import json +import math +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +NATIVE = Counter({1:2453, 2:716, 3:224, 4:74, 5:48}) +HELPERS = Counter({5:28, 6:18, 7:56, 8:93, 9:213}) +OLD_PAIRS = [(56,9,7),(56,7,9),(18,9,6),(18,6,9), + (16,9,5),(16,5,9),(44,8,8)] +OLD_MIDDLE = [(93,8),(56,7),(18,6),(28,5),(29,0)] + +def need(ok, message): + if not ok: + raise AssertionError(message) + +@lru_cache(None) +def log_interval(r): + def odd_series(x): + z = (x-1)/(x+1) + n = 80 + low = 2*sum((z**(2*j+1)/(2*j+1) for j in range(n)), Q(0)) + high = low+2*z**(2*n+1)/((2*n+1)*(1-z*z)) + return low, high + exponent = r.bit_length()-1 + a,b = odd_series(Q(2)) + c,d = odd_series(Q(r,2**exponent)) + return exponent*a+c, exponent*b+d + +def exp_interval(x): + need(0 <= x < 1, 'Enclosure range') + term = total = Q(1) + n = 48 + for j in range(1,n+1): + term *= x/j + total += term + following = term*x/(n+1) + return total, total+following/(1-x/(n+2)) + +@lru_cache(None) +def h_interval(r,c): + if r in (0,1): + return Q(r),Q(r) + a,b = log_interval(r) + low,_ = exp_interval(c*a) + _,high = exp_interval(c*b) + return Q(r)/high,Q(r)/low + +def moment(profile,c): + low=high=Q(0) + for r,n in profile.items(): + a,b=h_interval(r,c) + low += n*(a if n >= 0 else b) + high += n*(b if n >= 0 else a) + return low,high + +def show(bounds): + scale=10**35 + low,high=bounds + a=low.numerator*scale//low.denominator + b=-((-high.numerator*scale)//high.denominator) + def fixed(n): + sign='-' if n<0 else '' + s=str(abs(n)).rjust(36,'0') + return sign+s[:-35]+'.'+s[-35:] + return {'lower':fixed(a),'upper':fixed(b)} + +def split_rank(r,maximum): + """Least concave tariff partition with positive integers <= maximum.""" + need(maximum>=1 and r>=0, 'Legal split') + q,remainder=divmod(r,maximum) + result=Counter() + if q: + result[maximum]+=q + if remainder: + result[remainder]+=1 + return result + +def split_profile(profile,maximum): + result=Counter() + for r,n in profile.items(): + for child,count in split_rank(r,maximum).items(): + result[child]+=n*count + return result + +def add_scaled(target,source,multiple=1): + for key,value in source.items(): + target[key]+=multiple*value + +def base_case(p,minimum,pairs=None,middle=None): + """Expand all role inventories; one fresh global field per unhosted role.""" + need(p in (1,2), 'Only reconstructed p1 and p2 schedules are in scope') + need(2<=minimum<=41, 'Finite minimum-target menu') + calls=2*p+1 + main_fields=224*p + main_rank=16*p+9 + inventories=[Counter(HELPERS) for _ in range(calls)] + paid=split_profile(NATIVE,minimum-1) + paid=Counter({r:calls*n for r,n in paid.items()}) + paid[1]+=8*calls # same-width H completion, never waived + targets=Counter({main_rank:main_fields}) + if p==1: + need(pairs is None and middle is None, 'p1 has no original idle bins') + else: + pairs=pairs if pairs is not None else [(224,0,0)] + middle=middle if middle is not None else [(224,0)] + need(sum(n for n,a,b in pairs)==224, 'Each pair window has 224 bins') + need(sum(n for n,a in middle)==224, 'Middle window has 224 bins') + for stages in [(0,1),(3,4)]: + for n,a,b in pairs: + need(a+b<=16 and a in (0,5,6,7,8,9) and b in (0,5,6,7,8,9), 'Pair capacities') + for stage,r in zip(stages,(a,b)): + if r: + inventories[stage][r]-=n + add_scaled(paid,split_rank(16-a-b,minimum-1),n) + for n,r in middle: + need(r in (0,5,6,7,8), 'Middle capacity') + if r: + inventories[2][r]-=n + add_scaled(paid,split_rank(8-r,minimum-1),n) + global_roles=Counter() + for inventory in inventories: + need(all(n>=0 for n in inventory.values()), 'No helper role used twice') + global_roles.update(inventory) + for r,n in global_roles.items(): + if not n: + continue + target=max(r,minimum) + targets[target]+=n + add_scaled(paid,split_rank(target-r,minimum-1),n) + paid=+paid + targets=+targets + need(max(paid)0] + # Middle bins are independent single slots; choose positive-gain roles first. + candidates=sorted(((sp(8)-sp(8-r)-value(r),r) for r in (5,6,7,8)),reverse=True) + middle=[] + left=224 + for gain,r in candidates: + if gain>1e-12: + n=min(HELPERS[r],left) + if n: + middle.append((n,r)) + left-=n + if left: + middle.append((left,0)) + return pairs,middle,{'status':int(out.status),'message':out.message,'not_an_exact_optimality_claim':True} + +def run(discover=False): + candidates=[] + for p in (1,2): + for minimum in range(2,26): + candidates.append(base_case(p,minimum)) + candidates.append(base_case(2,9,OLD_PAIRS,OLD_MIDDLE)) + discovery=[] + if discover: + for c in (.001745,.004): + for minimum in range(5,18): + pairs,middle,meta=discover_pair_patterns(minimum,c) + case=base_case(2,minimum,pairs,middle) + case['discovery_target']=str(c) + case['solver']=meta + discovery.append(case) + candidates.extend(discovery) + best={} + for p in (1,2): + for text in ('0.001745','0.004'): + c=Q(text) + rows=[case for case in candidates if case['p']==p] + ranked=sorted(rows,key=lambda case:-numerical_value(case['signed'],float(c))) + winner=ranked[0] + # Certify that this displayed winner beats all numerically distinct + # profiles in the finite scanned menu, not all possible schedules. + win=moment(winner['signed'],c) + for case in ranked[1:]: + if dict(case['signed'])!=dict(winner['signed']): + need(win[0]>moment(case['signed'],c)[1], 'Exact finite-menu ordering') + best[f'p{p}_{text}']=serialize_case(winner) + controls={} + wrong=base_case(1,6) + wrong['targets'][6]+=1 + controls['unearned_output_credit_rejected']=(sum(r*n for r,n in wrong['targets'].items())-wrong['rank_bill']!=wrong['rank_margin']) + controls['rank5_child_with_job5_rejected']=not(5<5) + need(all(controls.values()), 'Corruption controls') + return {'schema':'productive-helper-mixed-target-tariff/1', + 'status':'PASS_CONDITIONAL_EXACT_ACCOUNTING', + 'source_sha256':sha256(Path(__file__).read_bytes()).hexdigest(), + 'native_profile':dict(NATIVE),'helper_inventory':dict(HELPERS), + 'assumed_recursive_rule':'sum_paid n_r r^(1-C) < sum_targets W_k k^(1-C); max_paid_rank < min_target_rank', + 'best_in_finite_menu':best, + 'fixed_p2_minimum9':serialize_case(base_case(2,9,OLD_PAIRS,OLD_MIDDLE)), + 'discovery_candidates':[serialize_case(c) for c in discovery], + 'controls':controls, + 'not_proved':['native whole-helper adapters and arbitrary-input block diagonal contract', + 'correct main controller and all its heads/caches/cleanup', + 'literal eligibility of any displayed head-cut grant', + 'mixed-target all-size recursion in this native model', + 'finite-precision integer-multiplication transfer and scalar/stock costs'], + 'new_kappa':False} + +def main(): + parser=argparse.ArgumentParser(description=__doc__) + parser.add_argument('--discover',action='store_true') + parser.add_argument('--output',type=Path,default=HERE/'MIXED-TARGET-PROBE.json') + args=parser.parse_args() + result=run(args.discover) + args.output.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print(json.dumps({'status':result['status'],'best':{k:v['targets_at_C'][k.split('_',1)[1]]['after_native_completion_before_main_closure'] for k,v in result['best_in_finite_menu'].items()}},sort_keys=True)) + +if __name__=='__main__': + main() diff --git 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Substantial OpenAI assistance. The mixed inventory and elementary +function enclosure are zxv's PR4359; mixed-target flow is Jacob Alan Sussman's +Theorem 1G. Outer formulas retain the attribution in PR4359 outer_parameters.py. +This file checks arithmetic, not the native or all-size proof hypotheses. +""" +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +PREFIX = Path('research/kappa-rebuild') +OLD_BASELINE = Q('0.001730970419199163702738') +KAPPA = Q('0.00230509') +TESTED = Q('0.00230509019') +ROOT_UPPER = Q('0.002306') + + +def need(value, message): + if not value: + raise AssertionError(message) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + + +def ceil(value): + value = Q(value) + return -((-value.numerator) // value.denominator) + + +def encode(value): + if isinstance(value, Q): + return str(value) + if isinstance(value, dict): + return {str(k): encode(v) for k, v in value.items()} + if isinstance(value, (tuple, list)): + return [encode(v) for v in value] + return value + + +def family(kappa, tested): + """One explicit slack family approaching the same source mixed root.""" + need(Q(0) < kappa < tested < ROOT_UPPER, 'Positive strictly ordered savings') + d = (tested-kappa)/7 + return {'kappa': kappa, 'tested_saving': tested, + 'complex_uniform_saving': kappa+6*d, + 'b': kappa+5*d, 'a': kappa+4*d, 'q': kappa+3*d, + 'bit_saving': Q('0.0027'), 'epsilon': 1-d, 'beta': 1-3*d, + 'r0': d/10, 'stop': d, 'layout': d, 'd': d} + + +def ledger(p): + """Recompute all 54 named PR4359 checks with freely supplied parameters.""" + kappa, b, a, q = (p[key] for key in ('kappa', 'b', 'a', 'q')) + epsilon, beta, r0, stop, layout = (p[key] for key in + ('epsilon', 'beta', 'r0', 'stop', 'layout')) + sigma, tau = 1-b, 1-a + internal = tau+(1-stop)*max(sigma-tau, Q(0)) + leaf = sigma+stop*(1-sigma) + lam, c = 1-(q+a)/2, Q(3, 32) + xi, key = epsilon*(1+q)-c+layout, beta+1-epsilon + margins = { + 'main_transform': epsilon*q, + 'global_coordinate_router': a, + 'fused_gaussian': 1-epsilon+q*beta, + 'group_bit_router': 1-epsilon+a*beta, + 'group_scans': 1-epsilon+beta, + 'boundary_algebraic_matrix': c+xi-epsilon, + 'sparse_union_movement': xi+Q(1, 2)-epsilon, + 'polynomial_products': epsilon, + 'microbox_face_corrections': 1-(epsilon+beta+48-128+2), + } + checks = { + 'actual_bit_above_effective': p['bit_saving']-a, + 'complex_above_effective': b-a, + 'q_positive': q, 'complex_endpoint': b-q, 'q_below_effective': a-q, + 'stop_positive': stop, 'stop_below_one': 1-stop, + 'leaf_saving_above_effective': (1-stop)*b-a, + 'q_below_internal': 1-internal-q, 'q_below_leaf': 1-leaf-q, + 'lambda_above_tau': lam-tau, 'lambda_above_sigma': lam-sigma, + 'lambda_above_internal': lam-internal, + 'lambda_prime_above_lambda': 1-q-lam, + 'lambda_prime_above_leaf': 1-q-leaf, + 'epsilon_positive': epsilon, 'epsilon_below_one': 1-epsilon, + 'cap_above_band': xi-Q(1, 2), 'cap_below_cell': epsilon-xi, + 'group_positive': beta, 'group_below_dimension': epsilon-beta, + 'support_router_span': 1-beta, + 'group_gauge_power_slack': 1-(2*xi-2)-r0-beta, + 'actual_logarithmic_group_guard': 1-(2*xi-2)-beta, + 'global_gamma_power_slack': 1-epsilon-r0, + 'actual_logarithmic_gamma_guard': 1-epsilon, + 'alpha_logarithm_absorption': r0, + 'group_key_fits_record': 1-key, + 'membership_arithmetic_fits_record': 1-beta-2*(1-epsilon), + 'microbox_halo_volume': 128-48-beta, + 'positive_layout_slack': layout, + 'short_record_fallback': epsilon-a, + 'complex_below_one_over_32': Q(1, 32)-b, + 'strassen_integer_power_gap': Q(2**45-7**16), + 'theta_positive_polynomial_power': Q(2), + 'cap_below_phase_cell_power': 2-xi, + 'halo_covers_generic_inverse_radius': Q(48-43), + 'union_tag_work_per_visit_fits_record': 1-beta, + 'union_header_fits_record': 1-beta, + 'source_axis_superpolynomial': 1-epsilon, + 'gaussian_above_main': margins['fused_gaussian']-margins['main_transform'], + 'new_complex_uniform_saving_above_b': p['complex_uniform_saving']-b, + 'improvement_over_user_baseline': kappa-OLD_BASELINE, + 'new_semantic_guard_with_C1_one': 1-epsilon, + 'fine_prime_halo_umbrella': 10-(2*2+2+Q(1, 2)), + } + checks.update({name+'_above_kappa': value-kappa for name, value in margins.items()}) + # These are the additional functional conditions in the independent + # PR4359 outer_transfer_audit.py, beyond the 54-row parameter ledger. + functional = { + 'new_semantic_group_guard': 1-beta, + 'new_BIT_row_stock_sublinear_in_active_group': beta*(1-Q(3, 1000)), + 'fixed_halo_explicit_metadata_branch': 128-48-epsilon-beta-1, + } + return {'parameters': dict(p, cap_xi=xi, lambda_=lam, lambda_prime=1-q), + 'margins': margins, 'strict_checks': checks, 'functional_checks': functional} + + +def compiler_rank(E, targets, paid, tested, uniform): + """The original sufficient bound, re-instantiated for the new exponent.""" + m, kmin, rmax = max(targets), min(targets), max(paid) + need((m, kmin, rmax) == (57, 6, 5), 'Pinned complex separation') + t, z = 1-tested, 1-uniform + z0, h = (t+z)/2, Q(1, 10) + delta = z0-t + need(0 < t < z0 < z < 1, 'Compiler exponent order') + need(5**10 < 6**9 and 57 < 2**10, 'Exact source rank bounds') + need(z0 > Q(1, 2) and (1-z0)*E.log_interval(m)[1] < E.log_interval(2)[0], + 'Original eta strictly exceeds 1/4') + H0 = ceil((3+4*delta)/(h*delta)) + ratio = H0*(1-z0)/(z-z0) + H1 = ratio.numerator//ratio.denominator+1 + need(H0 >= m.bit_length() and H0*h*delta >= 3+4*delta, 'Induction starts') + need(H1*(z-z0) > H0*(1-z0), 'Strict winning uniform rank') + need((H0-1)*h*delta < 3+4*delta, 'Reject one lower threshold exponent') + need((H1-1)*(z-z0) <= H0*(1-z0), 'Reject one lower final exponent') + return {'t': t, 'z0': z0, 'z': z, 'theta_upper': Q(9, 10), + 'H0': H0, 'H1': H1, 'N_encoding': '2^H1', + 'strict_final_gap': H1*(z-z0)-H0*(1-z0), + 'winning_word_materialized': False, + 'bound': 'Original sufficient inequality; a sharper bound is separate.'} + + +def run(source_root): + base = source_root/PREFIX + interval_path = base/'architecture/mixed_target_probe.py' + spec = importlib.util.spec_from_file_location('pr4359_moment', interval_path) + E = importlib.util.module_from_spec(spec) + spec.loader.exec_module(E) + cover = read(base/'controller/P3-NATIVE-COVER.json.gz')['cover'] + targets = {int(k): int(v) for k, v in cover['targets'].items()} + paid = {int(k): int(v) for k, v in cover['paid'].items()} + need(targets == {6: 192, 7: 56, 8: 93, 9: 1229, 25: 448, 57: 224}, + 'Exact source productive inventory') + need(paid == {1: 17623, 2: 5065, 3: 1738, 4: 714, 5: 254}, + 'Exact source paid inventory') + signed = Counter(targets) + signed.subtract(paid) + need(sum(k*v for k, v in signed.items()) == 224, 'Rank-one surplus') + bracket = {'lower': E.moment(signed, TESTED), 'upper': E.moment(signed, ROOT_UPPER)} + need(bracket['lower'][0] > 0 and bracket['upper'][1] < 0, + 'Strict mixed test and upper root bound') + + original = read(base/'controller/OUTER-PARAMETERS.json')['outer'] + old = ledger({'kappa': Q('0.0023'), 'complex_uniform_saving': Q('0.002304'), + 'b': Q('0.002303'), 'a': Q('0.0023025'), 'q': Q('0.002302'), + 'bit_saving': Q('0.0027'), 'epsilon': Q('0.99999'), + 'beta': Q('0.99997'), 'r0': Q(1, 10**6), + 'stop': Q(1, 10**8), 'layout': Q(1, 10**6)}) + for group in ('margins', 'strict_checks'): + frozen = {key: Q(value['rational']) for key, value in original[group].items()} + need(old[group] == frozen, 'Exact reproduction of every old '+group) + p = family(KAPPA, TESTED) + result = ledger(p) + need(all(v > 0 for v in result['strict_checks'].values()), 'All 54 new outer predicates') + need(all(v > 0 for v in result['functional_checks'].values()), 'Additional functional predicates') + need(min(result['margins'].values()) == result['margins']['main_transform'], + 'Main transform remains limiting') + need(result['parameters']['cap_xi'] == Q(29, 32)+(1-p['d'])*p['q'], + 'Cofinal cap simplification') + controls = {} + for label, updates in [('closed_epsilon_gap', {'epsilon': Q(1)}), + ('missing_layout', {'layout': Q(0)}), + ('unfunded_kappa', {'kappa': Q('0.002306')}), + ('BIT_below_effective', {'bit_saving': OLD_BASELINE}), + ('no_complex_slack', {'complex_uniform_saving': p['b']})]: + tested = ledger(dict(p, **updates)) + failures = {k: v for k, v in tested['strict_checks'].items() if v <= 0} + need(failures, 'Mutation rejected: '+label) + controls[label] = failures + need(E.moment(signed, Q('0.004'))[1] < 0, 'Unsupported mixed target is rejected') + inputs = [interval_path, base/'controller/P3-NATIVE-COVER.json.gz', + base/'controller/OUTER-PARAMETERS.json'] + return encode({'schema': 'pr4359-cofinal-outer-refill/1', + 'status': 'PASS_EXACT_CONDITIONAL_ENDPOINT_REFILL', + 'kappa': KAPPA, 'gain_over_PR4359': KAPPA-Q('0.0023'), + 'unchanged_paid': paid, 'unchanged_targets': targets, + 'mixed_test_saving': TESTED, 'mixed_test_margin': E.show(bracket['lower']), + 'root_upper_test': ROOT_UPPER, 'root_upper_margin': E.show(bracket['upper']), + 'old_ledger_crosscheck': {'matched_savings': len(old['margins']), + 'matched_checks': len(old['strict_checks'])}, + 'outer': result, 'limiting_margin': min(result['margins'].values())-KAPPA, + 'compiler': compiler_rank(E, targets, paid, TESTED, p['complex_uniform_saving']), + 'negative_controls': controls, + 'source_sha256': {str(p.relative_to(source_root)): sha256(p.read_bytes()).hexdigest() + for p in inputs}, + 'scope': 'Conditional arithmetic and specified finite rank. The PR4359 native, compiler, cover, precision, fixed-tape and outer hypotheses remain premises; no full theorem or practical word is certified.'}) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--source-root', type=Path, default=HERE/'source') + parser.add_argument('--out', type=Path) + args = parser.parse_args() + result = run(args.source_root) + if args.out: + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + print(json.dumps({key: result[key] for key in + ('status', 'kappa', 'gain_over_PR4359', 'limiting_margin', 'compiler')}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/query-thinned-controllers/RESULT.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/query-thinned-controllers/RESULT.json new file mode 100644 index 0000000000..e0695152c9 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/query-thinned-controllers/RESULT.json @@ -0,0 +1,356 @@ +{ + "bit_invoice": { + "main": { + "127": 222, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222 + }, + "owned_streams_reused_sequentially": 1, + "paid": { + "1": 25479, + "14": 444, + "2": 24156, + "21": 444, + "28": 444, + "3": 1422, + "35": 444, + "4": 792, + "42": 444, + "49": 444, + "5": 1836, + "56": 444, + "6": 198, + "63": 222, + "7": 342 + }, + "paid_calls": 57555, + "productive_fields": 11454, + "rank_surplus": 753, + "raw_scalar_record_bound": 1000000000, + "targets": { + "127": 222, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222, + "8": 7902 + }, + "thick_calls": 18, + "thick_stages": [ + 0, + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31, + 32 + ], + "thin_queries": 1665, + "whole_idle": { + "14": 444, + "21": 444, + "28": 444, + "35": 444, + "42": 444, + "49": 444, + "56": 444, + "63": 222 + } + }, + "bit_strictification": { + "alpha": { + "lower": "0.999995735238059506641600561767", + "upper": "0.999995735238059506641600561768" + }, + "compiler_H0": 3755884544, + "cutoff_base": 17, + "delta": { + "lower": "0.949707924144871179442776557218", + "upper": "0.949707924144871179442776557219" + }, + "gamma": { + "lower": "0.957429821066420278606254392110", + "upper": "0.957429821066420278606254392111" + }, + "normalized_surplus_lower": "68719461047/16845935476736", + "tail_exponent": "1/5", + "target_floor_base": 18, + "tensor_power": 1024, + "tested_saving": "173/50000", + "uniform_H1": 25986965159937, + "uniform_N": "2^25986965159937", + "uniform_saving": "3459/1000000", + "winning_word_materialized": false + }, + "complex_invoice": { + "main": { + "153": 224, + "17": 448, + "25": 448, + "33": 448, + "41": 448, + "49": 448, + "57": 448, + "65": 448, + "73": 448 + }, + "owned_streams_reused_sequentially": 1, + "paid": { + "1": 49045, + "16": 448, + "2": 13547, + "24": 448, + "3": 4256, + "32": 448, + "4": 1938, + "40": 448, + "48": 448, + "5": 380, + "56": 448, + "64": 448, + "72": 448, + "8": 152 + }, + "paid_calls": 72902, + "productive_fields": 11560, + "rank_surplus": 800, + "raw_scalar_record_bound": 1000000000, + "targets": { + "153": 224, + "17": 448, + "25": 448, + "33": 448, + "41": 448, + "49": 448, + "5": 532, + "57": 448, + "6": 342, + "65": 448, + "7": 1064, + "73": 448, + "8": 1767, + "9": 4047 + }, + "thick_calls": 19, + "thick_stages": [ + 0, + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31, + 33, + 34 + ], + "thin_queries": 1792, + "whole_idle": { + "16": 448, + "24": 448, + "32": 448, + "40": 448, + "48": 448, + "56": 448, + "64": 448, + "72": 448 + } + }, + "complex_strictification": { + "alpha": { + "lower": "0.999999952117240859760145478345", + "upper": "0.999999952117240859760145478346" + }, + "compiler_H0": 75415467350, + "cutoff_base": 20, + "delta": { + "lower": "0.941649713484853845388929204840", + "upper": "0.941649713484853845388929204841" + }, + "gamma": { + "lower": "0.967466409565147920980822933859", + "upper": "0.967466409565147920980822933860" + }, + "normalized_surplus_lower": "8589700209/251666829934592", + "tail_exponent": "1/5", + "target_floor_base": 21, + "tensor_power": 1024, + "tested_saving": "29603/10000000", + "uniform_H1": 10418370291022217, + "uniform_N": "2^10418370291022217", + "uniform_saving": "103609/35000000", + "winning_word_materialized": false + }, + "kappa": "37/12500", + "minimum_outer_margin_minus_kappa": "629378373/4900000000000000", + "native": { + "binary_charts": 111, + "complex_contacts_and_inverses": 896, + "owned_stream_restored_zero": true, + "thin_paid_rank_per_port": 1, + "thin_productive_credit": 0 + }, + "negative_controls": { + "closed_epsilon": [ + "epsilon_below_one", + "global_gamma_power_slack", + "actual_logarithmic_gamma_guard", + "source_axis_superpolynomial", + "gaussian_above_main", + "new_semantic_guard_with_C1_one" + ], + "closed_uniform_gap": [ + "new_complex_uniform_saving_above_b" + ], + "missing_layout": [ + "positive_layout_slack" + ], + "old_BIT_cap": [ + "actual_bit_above_effective" + ], + "unfunded_kappa": [ + "main_transform_above_kappa", + "global_coordinate_router_above_kappa", + "fused_gaussian_above_kappa", + "group_bit_router_above_kappa", + "boundary_algebraic_matrix_above_kappa" + ] + }, + "old_atom_rejected": true, + "ordinary_BIT": { + "admitted": "17/5000", + "after_cover": "69/20000", + "atom": "1/250", + "before_cover": "3459/1000000", + "ordinary_saving": "8590884599/2500000000000", + "prime_rule": "odd q > 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "17429997759/17500000000", + "fixed_halo_explicit_metadata_branch": "1347500003/17500000", + "new_BIT_row_stock_sublinear_in_active_group": "69789991027/70000000000", + "new_semantic_group_guard": "9/70000000" + }, + "margins": { + "boundary_algebraic_matrix": "14504839378373/4900000000000000", + "fused_gaussian": "14504838135119/4900000000000000", + "global_coordinate_router": "51803/17500000", + "group_bit_router": "3626262033773/1225000000000000", + "group_scans": "34999997/35000000", + "main_transform": "14504629378373/4900000000000000", + "microbox_face_corrections": "1347500003/17500000", + "polynomial_products": "69999997/70000000", + "sparse_union_movement": "2005129839378373/4900000000000000" + }, + "parameters": { + "a": "51803/17500000", + "b": "41443/14000000", + "beta": "69999991/70000000", + "bit_saving": "17/5000", + "cap_xi": "4455129629378373/4900000000000000", + "complex_uniform_saving": "103609/35000000", + "d": "3/70000000", + "epsilon": "69999997/70000000", + "kappa": "37/12500", + "lambda_": "19940797/20000000", + "lambda_prime": "69792791/70000000", + "layout": "3/70000000", + "q": "207209/70000000", + "r0": "3/700000000", + "stop": "3/70000000", + "tested_saving": "29603/10000000" + }, + "strict_checks": { + "actual_bit_above_effective": "7697/17500000", + "actual_logarithmic_gamma_guard": "3/70000000", + "actual_logarithmic_group_guard": "444870685621627/2450000000000000", + "alpha_logarithm_absorption": "3/700000000", + "boundary_algebraic_matrix_above_kappa": "839378373/4900000000000000", + "cap_above_band": "2005129629378373/4900000000000000", + "cap_below_cell": "444870160621627/4900000000000000", + "cap_below_phase_cell_power": "5344870370621627/4900000000000000", + "complex_above_effective": "3/70000000", + "complex_below_one_over_32": "396057/14000000", + "complex_endpoint": "3/35000000", + "epsilon_below_one": "3/70000000", + "epsilon_positive": "69999997/70000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "838135119/4900000000000000", + "gaussian_above_main": "104378373/2450000000000000", + "global_coordinate_router_above_kappa": "3/17500000", + "global_gamma_power_slack": "27/700000000", + "group_below_dimension": "3/35000000", + "group_bit_router_above_kappa": "262033773/1225000000000000", + "group_gauge_power_slack": "444870675121627/2450000000000000", + "group_key_fits_record": "3/35000000", + "group_positive": "69999991/70000000", + "group_scans_above_kappa": "34896397/35000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "614514790400418148631/500000000000000000000000", + "lambda_above_internal": "3/140000000", + "lambda_above_sigma": "9/140000000", + "lambda_above_tau": "3/140000000", + "lambda_prime_above_lambda": "3/140000000", + "lambda_prime_above_leaf": "83875671/980000000000000", + "leaf_saving_above_effective": "41875671/980000000000000", + "main_transform_above_kappa": "629378373/4900000000000000", + "membership_arithmetic_fits_record": "3/70000000", + "microbox_face_corrections_above_kappa": "1347448203/17500000", + "microbox_halo_volume": "5530000009/70000000", + "new_complex_uniform_saving_above_b": "3/70000000", + "new_semantic_guard_with_C1_one": "3/70000000", + "polynomial_products_above_kappa": "69792797/70000000", + "positive_layout_slack": "3/70000000", + "q_below_effective": "3/70000000", + "q_below_internal": "3/70000000", + "q_below_leaf": "83875671/980000000000000", + "q_positive": "207209/70000000", + "short_record_fallback": "13958557/14000000", + "source_axis_superpolynomial": "3/70000000", + "sparse_union_movement_above_kappa": "1990625839378373/4900000000000000", + "stop_below_one": "69999997/70000000", + "stop_positive": "3/70000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "9/70000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "9/70000000", + "union_tag_work_per_visit_fits_record": "9/70000000" + } + }, + "relative_gain_over_p7": "27353/268647", + "schema": "query-thinned-productive-controllers/1", + "scope": "Conditional native construction; all-column, erasure, whole-job matching, fixed-tape, precision, analytic, prime and exact-recovery premises retained. No unconditional theorem or selected promotion.", + "source_inputs_authenticated": 17, + "status": "PASS_CONDITIONAL_QUERY_THINNED_KAPPA_00296" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/check_research_commit.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/check_research_commit.py new file mode 100644 index 0000000000..7ab20e1487 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/check_research_commit.py @@ -0,0 +1,149 @@ +#!/usr/bin/env python3 +"""Compare package working bytes with a commit before publishing hash receipts. + +This is a byte-transport preflight, not a research verifier or CI-equivalence +claim. Prepared for ywz65 with OpenAI Codex assistance. Apache-2.0. +""" +import argparse +import hashlib +import json +import os +import re +import subprocess +from contextlib import closing +from pathlib import Path + +from research_package import ( + canonical_relative_path, + git, + git_blobs, + git_source_env, + relative_file, + require, + source_pin, +) + +ROOT = Path(__file__).resolve().parents[1] +MAX_SOURCE_METADATA_BYTES = 16 * 1024 * 1024 +MAX_SOURCE_ROWS = 100000 +MAX_SOURCE_COMMITS = 256 + + +def history_git(root, *args): + env = git_source_env() + env['GIT_GRAFT_FILE'] = os.devnull + env.pop('GIT_SHALLOW_FILE', None) + return subprocess.run(['git', '--no-replace-objects', *args], cwd=root, env=env, + capture_output=True, check=False, timeout=30) + + +def publication_sources(root, package, commit): + """Read bounded, immutable metadata without local replacements or grafts.""" + spec = commit + ':' + package + '/SOURCES.json' + size = history_git(root, 'cat-file', '-s', spec) + require(size.returncode == 0 and size.stdout.strip().isdigit(), 'missing publication SOURCES.json') + require(int(size.stdout) <= MAX_SOURCE_METADATA_BYTES, 'source metadata byte limit exceeded') + payload = history_git(root, 'cat-file', 'blob', spec) + require(payload.returncode == 0 and len(payload.stdout) == int(size.stdout), + 'incomplete publication SOURCES.json') + return json.loads(payload.stdout) + + +def source_history(root, package, commit): + """Check committed pins against raw publication ancestry, not local refs. + + This is declared history availability, not full SOURCES.json validation + or discovery of imports, archive references or runtime dependencies. + """ + sources = publication_sources(root, package, commit) + require(isinstance(sources, dict), 'SOURCES.json must be an object') + base = sources.get('base_commit') + require(isinstance(base, str) and re.fullmatch(r'[0-9a-f]{40,64}', base), + 'SOURCES.json base_commit must be an exact commit ID') + rows = sources.get('files') + require(isinstance(rows, list), 'SOURCES.json files must be a list') + require(len(rows) <= MAX_SOURCE_ROWS, 'source row limit exceeded') + commits = {base} + for row in rows: + require(isinstance(row, dict) and isinstance(row.get('path'), str), + 'SOURCES.json files rows need a string path') + canonical_relative_path(row['path']) + commits.add(source_pin(row, base).split(':', 1)[0]) + require(len(commits) <= MAX_SOURCE_COMMITS, 'source commit limit exceeded') + shallow = history_git(root, 'rev-parse', '--is-shallow-repository') + require(shallow.returncode == 0, 'cannot inspect Git history') + require(shallow.stdout.strip() == b'false', 'source-history check requires full Git history') + for pin in sorted(commits): + resolved = history_git(root, 'rev-parse', '--verify', '--end-of-options', pin + '^{commit}') + require(resolved.returncode == 0 and resolved.stdout.strip() == pin.encode('ascii'), + 'unavailable source commit: ' + pin) + ancestor = history_git(root, 'merge-base', '--is-ancestor', pin, commit) + require(ancestor.returncode in (0, 1), + 'Git ancestry check failed: ' + ancestor.stderr.decode('utf-8', errors='replace').strip()) + require(ancestor.returncode == 0, + 'source pin is not an ancestor of publication ' + commit + ': ' + pin + + '; a separate cached branch/object is not publication history') + return sorted(commits) + + +def check(root, package, ref='HEAD', check_source_history=False): + require(re.fullmatch(r'research/[a-z0-9][a-z0-9-]*', package), 'package must be research/') + manifest = json.loads(relative_file(root, package+'/VERIFY.json').read_text(encoding='utf-8')) + require(isinstance(manifest, dict), 'VERIFY.json must be an object') + inputs = manifest.get('inputs') + require(isinstance(inputs, list), 'declare input paths in VERIFY.json') + for name in inputs: + canonical_relative_path(name) + commit = git(root, 'rev-parse', '--verify', '--end-of-options', ref+'^{commit}').decode('ascii').strip() + # Literal pathspecs keep wildcard filenames from selecting other files. + records = git(root, '--literal-pathspecs', 'ls-tree', '-r', '-z', '--full-tree', + commit, '--', package, *inputs).split(b'\0') + entries = {} + for record in records: + if not record: + continue + header, raw_name = record.split(b'\t', 1) + mode, kind, obj = header.split() + name = raw_name.decode('utf-8') + require(mode in (b'100644', b'100755') and kind == b'blob', + 'commit contains a non-regular file: '+name) + entries[name] = obj.decode('ascii') + # New nonignored local checkers must not disappear from the publication. + local = git(root, '--literal-pathspecs', 'ls-files', '-c', '-o', '--exclude-standard', + '-z', '--', package).decode('utf-8').split('\0') + expected = {name for name in local if name} | set(inputs) + require(set(entries) == expected, 'working/commit file inventory differs: '+ + ', '.join(sorted(set(entries) ^ expected))) + names = sorted(entries) + require(names, 'empty package inventory') + with closing(git_blobs(root, [entries[name] for name in names])) as blobs: + # Advance the blob iterator once past its last yield, so its final + # Git exit-status check runs before reporting success. + for (_, committed), name in zip(blobs, names): + working = relative_file(root, name).read_bytes() + require(working == committed, + 'working/commit bytes differ: '+name+' (working SHA256 '+ + hashlib.sha256(working).hexdigest()+', commit SHA256 '+ + hashlib.sha256(committed).hexdigest()+')') + result = {'commit':commit, 'files':len(names), 'package':package} + if check_source_history: + result['source_history_commits'] = source_history(root, package, commit) + return result + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--package', required=True) + parser.add_argument('--ref', default='HEAD', help='commit to publish; default HEAD') + parser.add_argument('--check-source-history', action='store_true', + help='also require declared SOURCES.json pin commits in publication ancestry; full history only') + args = parser.parse_args() + try: + result = check(ROOT, args.package, args.ref, args.check_source_history) + except (OSError, ValueError, TypeError, subprocess.SubprocessError) as exc: + parser.exit(1, str(exc)+'\n') + print('PASS_RESEARCH_COMMIT_BYTES '+json.dumps(result)) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/research_package.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/research_package.py new file mode 100644 index 0000000000..ef9b52c392 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/scripts/research_package.py @@ -0,0 +1,1022 @@ +#!/usr/bin/env python3 +"""Validate and replay explicitly registered research packages, never every verify.py. + +Douglas Colkitt, with OpenAI Codex assistance. Apache-2.0. +""" +import argparse +import errno +from contextlib import closing, contextmanager +from itertools import chain +import hashlib +import importlib.metadata +import json +import os +from pathlib import Path, PurePosixPath +import re +import signal +import stat +import subprocess +import sys +import tempfile +import threading + +ROOT = Path(__file__).resolve().parents[1] +GIT_BLOB_RESPONSE_TIMEOUT = 90 + + +def require(ok, message): + if not ok: + raise ValueError(message) + + +def canonical_relative_path(name): + # Git's changed paths use one repository-relative POSIX spelling. Accepting + # aliases here would let a declared input evade the planner's exact match. + require(isinstance(name, str), "canonical relative path must be a string") + path = PurePosixPath(name) + require(bool(path.parts) and not path.is_absolute() and ".." not in path.parts + and "\\" not in name and path.as_posix() == name, + "use a canonical repository-relative POSIX path: " + name) + return path + + +def symlink_free_relative_path(root, name): + """Reject symlink components without requiring a deleted input to exist. + + Git reports changes under the target's path, not a symlink alias declared + by its consumer. Inspect existing components below the repository root; + the checkout must remain stable during planning, validation and replay. + """ + parts = canonical_relative_path(name).parts + current = root + for part in parts: + current = current / part + try: + mode = current.lstat().st_mode + except (FileNotFoundError, NotADirectoryError): + break + require(not stat.S_ISLNK(mode), "symlink in repository-relative path: " + name) + return root / name + + +def relative_file(root, name): + result = symlink_free_relative_path(root, name) + require(result.resolve().is_relative_to(root.resolve()) and result.is_file(), + "missing or external file: " + name) + return result + + +# Adapted from the package-local policy in +# research/t74-2530-source-partner-audit/audit_common.py (Apache-2.0). +# Keep repository configuration and linked-worktree .git discovery intact; +# inherited shell overrides must not choose a different repository or index. +_GIT_REDIRECT_VARS = frozenset(( + "GIT_DIR", "GIT_WORK_TREE", "GIT_INDEX_FILE", "GIT_OBJECT_DIRECTORY", + "GIT_ALTERNATE_OBJECT_DIRECTORIES", "GIT_NAMESPACE", "GIT_CEILING_DIRECTORIES", + "GIT_COMMON_DIR", "GIT_CONFIG_PARAMETERS", "GIT_CONFIG_COUNT", +)) +_GIT_CONFIG_PREFIXES = ("GIT_CONFIG_KEY_", "GIT_CONFIG_VALUE_") + + +def git_source_env(): + """Use cwd's repository and stored objects, without changing the parent. + + Git can ignore cwd when inherited selection variables point elsewhere. + Config-injection variables can also redirect worktree/index operations. + This policy is only for Git metadata/source subprocesses, not verifiers. + """ + env = {name: value for name, value in os.environ.items() + if name not in _GIT_REDIRECT_VARS and not name.startswith(_GIT_CONFIG_PREFIXES)} + # Replacement refs can report an original ID while returning other bytes. + env["GIT_NO_REPLACE_OBJECTS"] = "1" + return env + + +def git(root, *args): + return subprocess.run(["git", *args], cwd=root, env=git_source_env(), + capture_output=True, check=True).stdout + + +def tracked_input_paths(root): + """Use HEAD spelling, never case folding, filesystem resolution or the index. + + Staged/untracked files are not replay inputs until committed. NUL framing + preserves Git filenames containing whitespace, including CR and LF. + """ + raw = subprocess.run( + ["git", "ls-tree", "-r", "--name-only", "-z", "HEAD"], cwd=root, env=git_source_env(), + capture_output=True, check=True, timeout=30).stdout + return frozenset(name.decode("utf-8") for name in raw.split(b"\0") if name) + + +def require_tracked_input(name, paths): + canonical_relative_path(name) + require(name in paths, "use an exact Git-tracked input path from HEAD: " + name) + + +def git_source_rows(root, base, names): + """Read one pinned object at a time through one Git process; no persistent cache. + + Each request is consumed before the next is sent. This avoids pipe deadlocks + and retains the old one-blob memory bound, even for large source archives. + Newline paths and non-blob objects retain the legacy Git-show semantics. + The caller must close this generator if source validation fails mid-stream. + """ + with subprocess.Popen(["git", "cat-file", "--batch"], cwd=root, env=git_source_env(), + stdin=subprocess.PIPE, stdout=subprocess.PIPE, + stderr=subprocess.PIPE) as process: + try: + for name in names: + expression = base + ":" + name + if "\n" in expression or "\r" in expression: + yield git(root, "rev-parse", expression).decode().strip(), git(root, "show", expression) + continue + process.stdin.write(expression.encode("utf-8") + b"\n") + process.stdin.flush() + header = process.stdout.readline().rstrip(b"\n").split(b" ") + require(len(header) == 3 and re.fullmatch(rb"[0-9a-f]{40,64}", header[0]) + and header[2].isdigit(), "missing or invalid Git source: " + name) + size = int(header[2]) + payload = process.stdout.read(size) + require(len(payload) == size and process.stdout.read(1) == b"\n", + "truncated Git source: " + name) + if header[1] != b"blob": + payload = git(root, "show", expression) + yield header[0].decode("ascii"), payload + process.stdin.close() + code = process.wait(timeout=90) + require(code == 0, "Git source reader failed: " + process.stderr.read().decode("utf-8", errors="replace")) + finally: + if not process.stdin.closed: + process.stdin.close() + if process.poll() is None: + try: + process.wait(timeout=5) + except subprocess.TimeoutExpired: + process.kill() + process.wait() + + +class _UnsupportedNulBatch(Exception): + """Git rejected the initial NUL-mode request before yielding any source.""" + + +def _closed_stdin_error(error): + # Windows can report EINVAL instead of EPIPE when a child closes stdin. + # This classifies the pipe error only; the retry still requires exit 129. + return (isinstance(error, BrokenPipeError) + or (os.name == "nt" and error.errno == errno.EINVAL)) + + +def _stop_git_blob_process(process): + """Stop this reader's owned POSIX group even after its leader exits.""" + try: + if os.name == "posix": + # Reap an exited leader first: signaling a group containing only + # its unreaped zombie can report EPERM on macOS. A surviving + # descendant keeps the group alive after the leader is reaped. + process.poll() + os.killpg(process.pid, signal.SIGKILL) + else: + process.kill() + except ProcessLookupError: + pass + + +@contextmanager +def _git_blob_response_deadline(stop): + """Bound one response, excluding time spent by its consumer. + + On POSIX the reader owns a session: ordinary descendants retaining a pipe + are stopped with the leader. Escaped sessions and separate git() calls are + outside this contract; non-POSIX retains the direct-child deadline. + """ + expired = threading.Event() + + def terminate(): + expired.set() + stop() + + timer = threading.Timer(GIT_BLOB_RESPONSE_TIMEOUT, terminate) + timer.start() + try: + yield + finally: + timer.cancel() + timer.join() + if expired.is_set(): + raise subprocess.TimeoutExpired("git cat-file blob response", GIT_BLOB_RESPONSE_TIMEOUT) + + +def _git_blob_batch(root, specs, nul): + argv = ["git", "cat-file", "--batch"] + (["-z"] if nul else []) + # Usage diagnostics from the unsupported-option probe are expected. Avoid + # a second pipe that could block while we consume the framed stdout reply. + with subprocess.Popen(argv, cwd=root, env=git_source_env(), stdin=subprocess.PIPE, + stdout=subprocess.PIPE, stderr=subprocess.DEVNULL, + start_new_session=(os.name == "posix")) as process: + stopped = False + + def stop(): + nonlocal stopped + if not stopped: + _stop_git_blob_process(process) + stopped = True + + try: + for index, spec in enumerate(specs): + require("\0" not in spec, "invalid Git object request") + request = spec + if not nul and ("\n" in spec or "\r" in spec): + # Resolve one literal argument, never split a path into requests. + request = git(root, "rev-parse", "--verify", "--end-of-options", spec).decode("ascii").strip() + require(re.fullmatch(r"[0-9a-f]{40,64}", request), "invalid Git object ID") + with _git_blob_response_deadline(stop): + try: + process.stdin.write(request.encode("utf-8") + (b"\0" if nul else b"\n")) + process.stdin.flush() + except OSError as exc: + if not _closed_stdin_error(exc): + raise + header = b"" + else: + header = process.stdout.readline() + if nul and index == 0 and not header and process.wait(timeout=90) == 129: + raise _UnsupportedNulBatch(spec) + fields = header.rstrip(b"\n").split(b" ") + require(len(fields) == 3 and re.fullmatch(rb"[0-9a-f]{40,64}", fields[0]) + and fields[1] == b"blob" and fields[2].isdigit(), + "missing or non-blob Git source: " + spec) + size = int(fields[2]) + pinned = process.stdout.read(size) + require(len(pinned) == size and process.stdout.read(1) == b"\n", + "incomplete Git blob response: " + spec) + yield fields[0].decode("ascii"), pinned + process.stdin.close() + require(process.wait(timeout=90) == 0, "Git source reader failed") + finally: + # Terminate ordinary descendants before closing buffered pipes. This + # also covers successful leader exit and an early generator close. + if os.name == "posix": + stop() + # Option rejection can close stdin before our first write/flush. + try: + process.stdin.close() + except OSError as exc: + if not _closed_stdin_error(exc): + raise + process.stdout.close() + if process.poll() is None: + try: + process.wait(timeout=5) + except subprocess.TimeoutExpired: + process.kill() + process.wait() + + +def git_blobs(root, specs): + """Stream exact blobs, retaining the one-process NUL protocol on newer Git. + + Git without -z rejects it with usage status 129. Retry only before any + response, replaying the consumed first request through the line protocol. + The fallback resolves CR/LF paths to object IDs before requesting content. + The caller must close this iterator if validation stops before exhaustion. + """ + specs = iter(specs) + sentinel = object() + first = next(specs, sentinel) + if first is sentinel: + return + with closing(_git_blob_batch(root, chain((first,), specs), nul=True)) as rows: + try: + yield from rows + except _UnsupportedNulBatch as exc: + with closing(_git_blob_batch(root, chain((exc.args[0],), specs), nul=False)) as legacy: + yield from legacy + + +def meaningful(value): + return isinstance(value, str) and bool(value.strip()) and not re.search(r"\bTODO\b", value, re.I) + + +def brief(value): + text = json.dumps(value, ensure_ascii=True, sort_keys=True) + return text if len(text) <= 120 else text[:117] + "..." + + +def require_key(mapping, key, where, shape=None): + """Name the missing key and its expected shape instead of a bare KeyError.""" + require(isinstance(mapping, dict), + where + " must be a JSON object; found " + type(mapping).__name__ + ": " + brief(mapping)) + require(key in mapping, where + "." + key + " is missing" + + ("; expected " + shape if shape else "")) + return mapping[key] + + +def require_text(mapping, key, where, shape="a non-empty string without TODO"): + """Name the key and distinguish missing, wrong-shaped and weak values.""" + require(isinstance(mapping, dict), + where + " must be a JSON object; found " + type(mapping).__name__ + ": " + brief(mapping)) + require(key in mapping, where + "." + key + " is missing; expected " + shape) + value = mapping[key] + require(isinstance(value, str) and meaningful(value), + where + "." + key + " must be " + shape + "; found " + type(value).__name__ + ": " + brief(value)) + + +def card_differences(own, pinned): + """Name every key by which a TASK.json original_card differs from its pin.""" + if not isinstance(own, dict): + return "TASK.json original_card is " + type(own).__name__ + ", expected a JSON object" + details = [] + missing = [key for key in pinned if key not in own] + extra = [key for key in own if key not in pinned] + if missing: + details.append("missing keys: " + ", ".join(missing)) + if extra: + details.append("unexpected keys: " + ", ".join(extra)) + for key in (key for key in pinned if key in own and own[key] != pinned[key]): + details.append(key + " differs (TASK.json: " + brief(own[key]) + "; pinned: " + brief(pinned[key]) + ")") + return "; ".join(details) or "cards compare unequal without a key difference" + + +def source_pin(row, base): + """Resolve one SOURCES.json row to its exact Git object expression. + + Rows without an explicit pin keep the historical base_commit: form. + A file vendored from a pull-request head is pinned exactly with + head:<40-hex sha>:, so its bytes resolve at that commit, not at the + package base. An explicit but unparseable pin fails closed. + """ + name = row["path"] + pin = row.get("pin") + if pin is None: + return base + ":" + name + if pin == "base_commit:" + name: + return base + ":" + name + # Git filenames can contain LF; it is part of the exact path, not a delimiter. + match = re.fullmatch(r"head:([0-9a-f]{40}):(.+)", pin, re.DOTALL) if isinstance(pin, str) else None + if match is not None and match.group(2) == name: + return match.group(1) + ":" + name + raise ValueError("SOURCES.json pin for " + name + " is not a supported pin form: " + brief(pin) + + "; accepted pin forms are base_commit: and head:<40-hex sha>:") + + +def validate(root, package, check_pins=True): + parts = PurePosixPath(package).parts + require(len(parts) == 2 and parts[0] == "research" and re.fullmatch(r"[a-z0-9][a-z0-9-]*", parts[1]), + "package must be research/") + data = {} + for name in ("TASK.json", "SOURCES.json", "VERIFY.json"): + data[name] = json.loads(relative_file(root, package + "/" + name).read_text(encoding="utf-8")) + version = require_key(data[name], "schema_version", name) + require(version == 1, name + ".schema_version must be 1; found " + brief(version)) + task, sources, manifest = (data[n] for n in ("TASK.json", "SOURCES.json", "VERIFY.json")) + scope_status = require_key(task, "scope_status", "TASK.json", "unchanged, refined or changed") + require(scope_status in ("unchanged", "refined", "changed"), + "TASK.json.scope_status must be unchanged, refined or changed; found " + brief(scope_status)) + for field in ("actual_scope", "bottleneck_link", "stop_rule", "evidence", "author", "ai_assistance"): + require_text(task, field, "TASK.json") + if scope_status == "unchanged": + question = require_key(require_key(task, "original_card", "TASK.json", + "the pinned catalogue card object"), + "question", "TASK.json.original_card") + require(task["actual_scope"] == question, + "different wording/scope requires refined or changed plus a reason" + + " (TASK.json.actual_scope " + brief(task["actual_scope"]) + + " differs from TASK.json.original_card.question " + brief(question) + ")") + else: + require_text(task, "scope_change_reason", "TASK.json", + "a non-empty string without TODO explaining the scope refinement/change") + outcome = require_key(task, "outcome", "TASK.json", + "partial, completed, blocked or negative-result") + require(outcome in ("partial", "completed", "blocked", "negative-result"), + "TASK.json.outcome must be partial, completed, blocked or negative-result; found " + brief(outcome)) + questions = task.get("open_questions") + require(isinstance(questions, list), + "TASK.json.open_questions must be a list; found " + type(questions).__name__ + ": " + brief(questions)) + if not questions: + require_text(task, "no_open_questions_reason", "TASK.json", + "a non-empty string without TODO explaining an empty next-question list") + for position, question in enumerate(questions): + for field in ("question", "why_it_matters", "first_step", "blocked_by"): + require_text(question, field, "TASK.json.open_questions[" + str(position) + "]") + readme = relative_file(root, package + "/README.md").read_text(encoding="utf-8") + require("## Open next questions" in readme, "README.md needs an \"## Open next questions\" section") + status = require_key(manifest, "status", "VERIFY.json") + require(status == "ready", + "VERIFY.json.status must be \"ready\"; complete the draft before requesting replay; found " + brief(status)) + python = require_key(manifest, "python", "VERIFY.json") + require(python == "3.12", + "VERIFY.json.python must be \"3.12\" (generic replay currently uses Python 3.12); found " + brief(python)) + requirements = manifest.get("requirements", []) + require(isinstance(requirements, list), + "VERIFY.json.requirements must be a list of exact \"name==version\" pins; found " + + type(requirements).__name__ + ": " + brief(requirements)) + require(len(requirements) == len(set(requirements)), "VERIFY.json.requirements must not repeat a pin") + for item in requirements: + require(isinstance(item, str) + and re.fullmatch(r"(?:numpy|sympy|scipy)==[0-9]+(?:\.[0-9]+){1,2}", item), + "generic CI supports exact numpy/sympy/scipy pins; use a dedicated workflow for other environments" + + "; offending entry: " + brief(item)) + names = [item.split("==")[0] for item in requirements] + require(len(names) == len(set(names)), "declare only one version per dependency") + # Validation already treats an omitted list as empty; execution must receive + # that same default without rewriting the contributor's manifest on disk. + manifest["requirements"] = requirements + commands = manifest.get("commands") + require(isinstance(commands, list) and 1 <= len(commands) <= 8, + "VERIFY.json.commands must be a list of 1..8 explicit verification commands; found " + + type(commands).__name__ + ": " + brief(commands)) + total = 0 + for position, command in enumerate(commands): + path = "VERIFY.json.commands[" + str(position) + "]" + require(isinstance(command, dict), + path + " must be a JSON object; found " + type(command).__name__ + ": " + brief(command)) + argv = command.get("argv") + require(isinstance(argv, list) and len(argv) >= 2 and all(isinstance(a, str) for a in argv), + path + ".argv must be a list of at least 2 strings; found " + brief(argv)) + require(argv[0] == "{python}", path + ".argv must explicitly use {python}; no implicit shell") + require_text(command, "checks", path, "a non-empty string without TODO describing command coverage") + seconds = command.get("timeout_seconds") + require(type(seconds) is int, + path + ".timeout_seconds must be an integer number of seconds; found " + + type(seconds).__name__ + ": " + brief(seconds)) + require(1 <= seconds <= 600, + path + ".timeout_seconds " + str(seconds) + + (" exceeds the 600 s per-command cap" if seconds > 600 + else " is below the 1 s per-command minimum")) + total += seconds + require(total <= 1200, "declared replay budget " + str(total) + + " s (sum of timeout_seconds) exceeds the 1200 s total cap" + + "; use a dedicated job for larger checks") + inputs = manifest.get("inputs") + require(isinstance(inputs, list), + "VERIFY.json.inputs must be a list of canonical repository-relative paths; found " + + type(inputs).__name__ + ": " + brief(inputs)) + tracked = tracked_input_paths(root) + for name in inputs: + symlink_free_relative_path(root, name) + require_tracked_input(name, tracked) + relative_file(root, name) + files = require_key(sources, "files", "SOURCES.json") + require(files, "SOURCES.json.files is empty; declare the source inventory") + base = require_key(sources, "base_commit", "SOURCES.json", "a 40-64 hex string pinning an exact base commit") + require(isinstance(base, str) and re.fullmatch(r"[0-9a-f]{40,64}", base), + "SOURCES.json.base_commit must be a 40-64 hex string pinning an exact base commit; found " + brief(base)) + task_base = require_key(task, "base_commit", "TASK.json", + "a 40-64 hex string equal to SOURCES.json.base_commit") + require(task_base == base, "TASK.json.base_commit " + brief(task_base) + + " must equal SOURCES.json.base_commit " + brief(base)) + for row in files: + require(isinstance(row, dict) and isinstance(row.get("path"), str), + "SOURCES.json.files rows must be JSON objects with a string path; offending row: " + brief(row)) + require(row.get("usage") in ("input", "provenance"), + "SOURCES.json.files row " + row["path"] + " must declare usage \"input\" or \"provenance\"; found " + + brief(row.get("usage"))) + undeclared = sorted({r["path"] for r in sources["files"] if r["usage"] == "input"} - set(inputs)) + require(not undeclared, + "every SOURCES.json files row with usage \"input\" must also be declared in VERIFY.json inputs" + + " (they drive CI invalidation); undeclared: " + ", ".join(undeclared)) + if check_pins: + catalog_name = "docs/research/agent-task-catalog.json" + require(catalog_name in {r["path"] for r in sources["files"]}, + "SOURCES.json.files must pin the originating task catalogue " + catalog_name + + " (a provenance row pinned at base_commit)") + names = [r["path"] for r in sources["files"]] + for name in names: + p = PurePosixPath(name) + require(not p.is_absolute() and ".." not in p.parts, "invalid source path") + specs = [source_pin(row, sources["base_commit"]) for row in sources["files"]] + require(all(spec == sources["base_commit"] + ":" + catalog_name + for name, spec in zip(names, specs) if name == catalog_name), + "originating task catalogue must be pinned at base_commit") + with closing(git_blobs(root, specs)) as objects: + for index, (obj, pinned) in enumerate(objects): + row = sources["files"][index] + name = row["path"] + require(obj == row["git_blob"], "source blob provenance mismatch: " + name) + require(hashlib.sha256(pinned).hexdigest() == row["sha256"], "source SHA256 provenance mismatch: " + name) + if row["usage"] == "input": + require(pinned == relative_file(root, name).read_bytes(), "working source drift: " + name) + if name == catalog_name: + catalog = json.loads(pinned) + cards = [t for tr in catalog["tracks"] for t in tr["tasks"] if t["id"] == task["task_id"]] + require(len(cards) == 1, + "TASK.json task_id " + brief(task["task_id"]) + " matches " + str(len(cards)) + + " cards in pinned " + catalog_name + " at base_commit " + sources["base_commit"] + + "; need exactly one") + original_card = require_key(task, "original_card", "TASK.json", + "the pinned catalogue card object (copy --print-card output verbatim)") + if original_card != cards[0]: + raise ValueError("original card in TASK.json must equal the pinned catalogue card object exactly; " + "copy it verbatim from " + catalog_name + " at base_commit " + sources["base_commit"] + + ": " + card_differences(original_card, cards[0])) + return task, manifest + + +def catalogue_card(root, package, task_id): + """The exact original_card object a hand-authored TASK.json must copy. + + Reads the catalogue blob pinned at the package base commit, never the + working tree, because validate() compares original_card against that pin. + """ + sources = json.loads(relative_file(root, package + "/SOURCES.json").read_text(encoding="utf-8")) + name = "docs/research/agent-task-catalog.json" + rows = require_key(sources, "files", "SOURCES.json") + row = next((r for r in rows if isinstance(r, dict) and r.get("path") == name), None) + require(row is not None, "SOURCES.json.files must pin the originating task catalogue " + name) + base = require_key(sources, "base_commit", "SOURCES.json", "a 40-64 hex string pinning an exact base commit") + spec = source_pin(row, base) + require(spec == base + ":" + name, "originating task catalogue must be pinned at base_commit") + catalog = json.loads(git(root, "show", spec)) + cards = [t for tr in catalog["tracks"] for t in tr["tasks"] if t["id"] == task_id] + require(len(cards) == 1, + "task_id " + brief(task_id) + " matches " + str(len(cards)) + + " cards in pinned " + name + " at base_commit " + base + "; need exactly one") + return cards[0] + + +_WINDOWS_GATE = r""" +import ctypes +from ctypes import wintypes +import json +import subprocess +import sys +api = ctypes.WinDLL('kernel32', use_last_error=True) +api.OpenEventW.argtypes = [wintypes.DWORD, wintypes.BOOL, wintypes.LPCWSTR] +api.OpenEventW.restype = wintypes.HANDLE +api.WaitForSingleObject.argtypes = [wintypes.HANDLE, wintypes.DWORD] +api.WaitForSingleObject.restype = wintypes.DWORD +api.CloseHandle.argtypes = [wintypes.HANDLE] +api.CloseHandle.restype = wintypes.BOOL +event = api.OpenEventW(0x00100000, False, sys.argv[1]) +if not event: + raise ctypes.WinError(ctypes.get_last_error()) +try: + if api.WaitForSingleObject(event, 30000) != 0: + raise RuntimeError('replay ownership gate was not released') +finally: + api.CloseHandle(event) +# No verification command or descendant starts until the parent owns this job. +sys.exit(subprocess.call(json.loads(sys.argv[2]))) +""" + +def run_windows_command(argv, cwd, timeout, env): + """Own ordinary verification descendants even after their leader exits. + + The gated launcher joins a kill-on-close Job Object before it may spawn + the requested command. A late taskkill cannot recover an exited leader's + tree. Job handles are not inherited and breakaway is not enabled. + """ + import ctypes + from ctypes import wintypes + import time + import uuid + + class BasicLimits(ctypes.Structure): + _fields_ = [("ProcessTime", ctypes.c_int64), ("JobTime", ctypes.c_int64), + ("Flags", wintypes.DWORD), ("MinWorkingSet", ctypes.c_size_t), + ("MaxWorkingSet", ctypes.c_size_t), ("ActiveProcessLimit", wintypes.DWORD), + ("Affinity", ctypes.c_size_t), ("Priority", wintypes.DWORD), + ("Scheduling", wintypes.DWORD)] + + class IOCounts(ctypes.Structure): + _fields_ = [(name, ctypes.c_uint64) for name in + ("ReadOps", "WriteOps", "OtherOps", "ReadBytes", "WriteBytes", "OtherBytes")] + + class ExtendedLimits(ctypes.Structure): + _fields_ = [("Basic", BasicLimits), ("IO", IOCounts), + ("ProcessMemory", ctypes.c_size_t), ("JobMemory", ctypes.c_size_t), + ("PeakProcessMemory", ctypes.c_size_t), ("PeakJobMemory", ctypes.c_size_t)] + + class Accounting(ctypes.Structure): + _fields_ = [(name, ctypes.c_int64) for name in + ("UserTime", "KernelTime", "PeriodUserTime", "PeriodKernelTime")] + [ + (name, wintypes.DWORD) for name in + ("PageFaults", "TotalProcesses", "ActiveProcesses", "TerminatedProcesses")] + + api = ctypes.WinDLL("kernel32", use_last_error=True) + + def native(name, result, *arguments): + fn = getattr(api, name) + fn.restype, fn.argtypes = result, arguments + return fn + + handle, dword, boolean = wintypes.HANDLE, wintypes.DWORD, wintypes.BOOL + create_job = native("CreateJobObjectW", handle, ctypes.c_void_p, wintypes.LPCWSTR) + set_info = native("SetInformationJobObject", boolean, handle, ctypes.c_int, ctypes.c_void_p, dword) + assign = native("AssignProcessToJobObject", boolean, handle, handle) + terminate = native("TerminateJobObject", boolean, handle, wintypes.UINT) + query = native("QueryInformationJobObject", boolean, handle, ctypes.c_int, + ctypes.c_void_p, dword, ctypes.c_void_p) + create_event = native("CreateEventW", handle, ctypes.c_void_p, boolean, boolean, wintypes.LPCWSTR) + set_event = native("SetEvent", boolean, handle) + close = native("CloseHandle", boolean, handle) + + def checked(ok): + if not ok: + raise ctypes.WinError(ctypes.get_last_error()) + return ok + + job = checked(create_job(None, None)) + event, process, assigned = None, None, False + try: + limits = ExtendedLimits() + limits.Basic.Flags = 0x2000 # JOB_OBJECT_LIMIT_KILL_ON_JOB_CLOSE + checked(set_info(job, 9, ctypes.byref(limits), ctypes.sizeof(limits))) + name = "Local\\research-replay-" + uuid.uuid4().hex + event = checked(create_event(None, True, False, name)) + # A name collision must not attach to an already-signaled event. + if ctypes.get_last_error() == 183: + raise ValueError("replay ownership gate name already exists") + process = subprocess.Popen( + # The gate itself must not run sitecustomize/PYTHONPATH startup + # code before ownership. The requested command retains env/argv. + # Windows accepts Unicode argv directly. ASCII JSON escaping can + # expand an otherwise valid command past its UTF-16 launch limit. + [sys.executable, "-I", "-S", "-c", _WINDOWS_GATE, name, + json.dumps(argv, ensure_ascii=False)], + cwd=cwd, env=env, start_new_session=True) + checked(assign(job, int(process._handle))) + assigned = True + checked(set_event(event)) + try: + return process.wait(timeout=timeout) + except subprocess.TimeoutExpired: + raise ValueError("verification timed out") from None + finally: + try: + if process is not None: + if assigned: + checked(terminate(job, 1)) + # Termination is asynchronous. Require the job to report + # no active processes before releasing its ownership handle. + deadline = time.monotonic() + 10 + while True: + state = Accounting() + checked(query(job, 1, ctypes.byref(state), ctypes.sizeof(state), None)) + if not state.ActiveProcesses: + break + if time.monotonic() >= deadline: + raise ValueError("verification process cleanup timed out") + time.sleep(0.01) + elif process.poll() is None: + # Assignment failed before the gate opened: no command child + # exists, so only this known gated launcher needs stopping. + process.kill() + process.wait(timeout=10) + finally: + try: + if event: + checked(close(event)) + finally: + checked(close(job)) + +def run_command(argv, cwd, timeout): + # Assertion checks must not disappear because of the caller's environment. + # Keep explicit manifest options (including deliberate -O controls) intact. + # PYTHONPATH precedes the standard library on a child's sys.path, so a stray + # same-named module could end a verifier with exit code 0 before any check. + env = os.environ.copy() + env.pop("PYTHONOPTIMIZE", None) + # Ambient inspection can turn a verifier exception into a successful REPL + # exit at terminal EOF. Keep explicit -i and the caller's stdin unchanged. + env.pop("PYTHONINSPECT", None) + env.pop("PYTHONPATH", None) + if os.name == "nt": + code = run_windows_command(argv, cwd, timeout, env) + require(code == 0, f"verification command exited {code}") + return + previous_handler = None + terminating = False + waiting = False + process = None + + def terminate(signum, frame): + nonlocal terminating + if not terminating: + terminating = True + # Only interrupt the protected wait. Launch/assignment and cleanup + # defer delivery; repeated signals cannot interrupt group cleanup. + if waiting: + raise SystemExit(128 + signum) + + # Own a group for POSIX cleanup of this command and its descendants. + try: + if (threading.current_thread() is threading.main_thread() + and signal.getsignal(signal.SIGTERM) == signal.SIG_DFL): + previous_handler = signal.SIG_DFL + signal.signal(signal.SIGTERM, terminate) + if terminating: + raise SystemExit(143) + process = subprocess.Popen(argv, cwd=cwd, env=env, start_new_session=True) + try: + try: + waiting = True + if terminating: + raise SystemExit(143) + code = process.wait(timeout=timeout) + finally: + waiting = False + except subprocess.TimeoutExpired: + raise ValueError("verification timed out") from None + require(code == 0, f"verification command exited {code}") + finally: + try: + if process is not None: + if hasattr(os, "killpg"): + # The leader may have exited while descendants hold its group. + try: + os.killpg(process.pid, signal.SIGKILL) + except ProcessLookupError: + pass + elif process.poll() is None: + subprocess.run(["taskkill", "/F", "/T", "/PID", str(process.pid)], capture_output=True) + process.wait() + finally: + if previous_handler is not None: + signal.signal(signal.SIGTERM, previous_handler) + if terminating: + raise SystemExit(143) + + +def isolated_python_argv(argv, cache_directory): + """Place our cache option after interpreter flags, before the entry point. + + -B prevents writes, not reads of existing .pyc files. A fresh namespace + keeps preexisting source-adjacent and externally configured caches out of + this registered interpreter. It is not inherited by child interpreters. + """ + require(argv and argv[0] == sys.executable, "cache isolation requires the registered Python interpreter") + index = 1 + options = [argv[0]] + while index < len(argv): + option = argv[index] + if option in ("-", "--") or not option.startswith("-"): + break + if option == "--check-hash-based-pycs": + require(index + 1 < len(argv), "missing Python hash-cache option argument") + options.extend(argv[index:index + 2]) + index += 2 + continue + if option.startswith("--"): + options.append(option) + index += 1 + continue + # Python permits combined short flags, attached -c/-m payloads, and + # attached or separate -W/-X arguments. Stop scanning an option once + # its argument begins: letters inside that argument are not flags. + entry = False + consumed = 1 + replace_cache = False + for offset, flag in enumerate(option[1:], start=1): + if flag in "cm": + entry = True + break + if flag in "WX": + if offset == len(option) - 1: + require(index + 1 < len(argv), "missing Python interpreter option argument") + consumed = 2 + value = argv[index + 1] if consumed == 2 else option[offset + 1:] + if flag == "X" and value.split("=", 1)[0] == "pycache_prefix": + replace_cache = True + if offset > 1: + options.append(option[:offset]) + break + if entry: + break + if not replace_cache: + options.extend(argv[index:index + consumed]) + index += consumed + # CPython's effective prefix can use the first duplicate -X value even + # when sys._xoptions shows the last. Remove only earlier cache-prefix + # settings; script arguments remain untouched, even when spelled -X. + return [*options, "-X", "pycache_prefix=" + str(cache_directory), *argv[index:]] + + +def run_python_replay(argv, cwd, timeout): + with tempfile.TemporaryDirectory(prefix="research-replay-pycache-") as cache: + run_command(isolated_python_argv(argv, cache), cwd, timeout) + + +def run_package(root, package, install=False): + task, manifest = validate(root, package) + require(sys.version_info[:2] == (3, 12), "run replay with Python 3.12 (metadata check is version-independent)") + if install and manifest["requirements"]: + run_command([sys.executable, "-m", "pip", "install", "--disable-pip-version-check", *manifest["requirements"]], root, 300) + for requirement in manifest["requirements"]: + name, version = requirement.split("==") + require(importlib.metadata.version(name) == version, "dependency version mismatch: " + requirement) + # Coverage labels are UTF-8 metadata but a redirected Windows stdout may + # use cp1252. Escape unrepresentable display characters instead of aborting + # before replay. This changes only our stream, not child encoding or env. + if hasattr(sys.stdout, "reconfigure"): + sys.stdout.reconfigure(errors="backslashreplace") + for command in manifest["commands"]: + argv = [sys.executable if item == "{python}" else item.replace("{package}", package) for item in command["argv"]] + print("CHECK " + command["checks"], flush=True) + run_python_replay(argv, root, command["timeout_seconds"]) + print("PASS_REGISTERED_RESEARCH_PACKAGE " + package + " outcome=" + task["outcome"]) + + +def planning_manifests(root, tracked): + """Include deliberate sparse omissions without disguising deletions or drift. + + The fallback follows the chooser's PR3102 contract: one stage-zero regular + skip-worktree index entry must match the exact HEAD mode and blob. This is + declaration discovery only, not permission to replay absent package code. + """ + committed = {name for name in tracked + if name.startswith("research/") and name.count("/") == 2 + and name.endswith("/VERIFY.json")} + # Explicit scandir retains error detection; only an absent directory is OK. + try: + with os.scandir(root / "research") as entries: + local = {Path(entry.path) / "VERIFY.json" for entry in entries} + except FileNotFoundError: + local = set() + present, missing = {}, set() + for path in sorted(local | {root / name for name in committed}): + name = path.relative_to(root).as_posix() + symlink_free_relative_path(root, name) + try: + mode = path.lstat().st_mode + except (FileNotFoundError, NotADirectoryError): + if name in committed: + missing.add(name) + continue + require(stat.S_ISREG(mode), "non-regular replay manifest: " + name) + present[name] = path + fallback = {} + if missing: + indexed, objects = {}, {} + for record in git(root, "ls-files", "-t", "--stage", "-z", "--", "research").split(b"\0"): + if not record: + continue + header, raw_name = record.split(b"\t", 1) + name = raw_name.decode("utf-8") + if name in missing: + indexed.setdefault(name, []).append(header.split()) + for record in git(root, "ls-tree", "-r", "-z", "HEAD", "--", "research").split(b"\0"): + if not record: + continue + header, raw_name = record.split(b"\t", 1) + name = raw_name.decode("utf-8") + if name in missing: + objects[name] = header.split() + for name in sorted(missing): + metadata = objects.get(name, []) + require(len(metadata) == 3 and metadata[0] in (b"100644", b"100755") + and metadata[1] == b"blob" + and indexed.get(name) == [[b"S", metadata[0], metadata[2], b"0"]], + "missing replay manifest is not an unchanged sparse HEAD input: " + name + + "; materialize it or commit its intended deletion") + # A regular file occupying the package directory is not an omission. + require(not (root / name).parent.exists() or (root / name).parent.is_dir(), + "non-directory replay package: " + name) + names = sorted(missing) + with closing(git_blobs(root, [objects[n][2].decode("ascii") for n in names])) as rows: + for (oid, raw), name in zip(rows, names): + require(oid.encode("ascii") == objects[name][2], "sparse manifest blob mismatch: " + name) + fallback[name] = raw + # Preserve Path's component ordering: package "a" precedes "a-extra". + for name in sorted(present.keys() | fallback.keys(), key=lambda name: PurePosixPath(name).parts): + yield root / name, fallback[name] if name in fallback else present[name].read_bytes(), name in fallback + + +def plan_details(root, changed): + """One selection pass with exact causes; no replay or acceptance decision.""" + changed = set(changed) + # A removed input is absent from HEAD, including an old case-only rename + # spelling on case-insensitive filesystems. Git's exact changed paths remain + # eligible so its consumer is selected, rather than rejected or skipped. + head_tracked = tracked_input_paths(root) + tracked = head_tracked | changed + replay_changed = sorted(changed.intersection({ + "scripts/research_package.py", ".github/workflows/research-packages.yml", + ".github/workflows/research-package-batch.yml"})) + # Group literal Git paths once. Keep removed paths and exact spellings. + changed_packages = {} + for name in sorted(changed): + parts = name.split("/", 2) + if len(parts) == 3 and parts[0] == "research": + changed_packages.setdefault("/".join(parts[:2]), []).append(name) + packages = [] + sparse_count = 0 + for path, raw, sparse in planning_manifests(root, head_tracked): + sparse_count += sparse + package = path.parent.relative_to(root).as_posix() + manifest = json.loads(raw.decode("utf-8")) + # Parse only for selection; validate fully in the isolated replay job. + inputs = manifest.get("inputs", []) + require(isinstance(inputs, list), "declare input paths for CI invalidation") + for name in inputs: + # Do not require existence: a deleted input must still trigger replay. + symlink_free_relative_path(root, name) + require_tracked_input(name, tracked) + causes = { + "declared_inputs": sorted(changed.intersection(inputs)), + "package_files": changed_packages.get(package, []), + "shared_controls": replay_changed, + } + if any(causes.values()): + packages.append({"package": package, "causes": causes, + "manifest_sha256": hashlib.sha256(raw).hexdigest()}) + if sparse_count: + print(f"Planning includes {sparse_count} unchanged sparse manifests from HEAD; " + "materialize packages and inputs before replay.", file=sys.stderr) + return packages + + +def plan(root, changed): + return [row["package"] for row in plan_details(root, changed)] + + +def write_plan_explanation(path, base, head, changed, details): + """Publish a complete sidecar before stdout/GitHub matrix publication.""" + matched = {name for row in details for names in row["causes"].values() for name in names} + report = { + "schema_version": 1, "base": base, "head": head, + "mode": "all-tracked" if base is None else "commit-diff", + "scope": "Selection from working or authenticated sparse HEAD manifests, not replay or mathematical acceptance. " + "Manifest hashes bind the declarations read; checkout must remain stable.", + "changed_paths": sorted(set(changed) - {""}), "selected": details, + "unmatched_paths": sorted(set(changed) - matched - {""}), + } + fd, temporary = tempfile.mkstemp(prefix=".replay-plan-", dir=path.parent) + try: + with os.fdopen(fd, "w", encoding="utf-8") as stream: + json.dump(report, stream, indent=2) + stream.write("\n") + os.replace(temporary, path) + finally: + Path(temporary).unlink(missing_ok=True) + + +def replay_matrix(packages, batch_size=None): + """Retain the flat CLI format, or group complete coverage into bounded matrices.""" + if batch_size is None: + return {"include": [{"package": p} for p in packages]} + require(type(batch_size) is int and 1 <= batch_size <= 256, + "matrix batch size must be 1..256") + batches = [packages[i:i + batch_size] for i in range(0, len(packages), batch_size)] + require(len(batches) <= 256, + "more than 256 matrix batches required; no packages were truncated") + return {"include": [{"packages": batch} for batch in batches]} + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument("--package") + ap.add_argument("--check-only", action="store_true") + ap.add_argument("--print-card", metavar="TASK_ID", + help="print the exact pinned catalogue card object to copy into TASK.json original_card") + ap.add_argument("--install-deps", action="store_true", help="explicit opt-in to install manifest's allowed pinned dependencies") + ap.add_argument("--changed-since", help="plan affected opt-in packages relative to this Git commit") + ap.add_argument("--github-output", type=Path) + ap.add_argument("--explain-plan", type=Path, + help="write exact replay-selection causes to JSON; matrix output stays unchanged") + ap.add_argument("--matrix-batch-size", type=int, + help="group planned packages for bounded reusable-workflow matrices (1..256)") + args = ap.parse_args() + if args.explain_plan and (not args.changed_since or args.package or args.print_card): + ap.error("--explain-plan requires --changed-since without --package or --print-card") + if args.explain_plan and args.github_output and args.explain_plan.resolve() == args.github_output.resolve(): + ap.error("--explain-plan and --github-output must use different files") + try: + if args.print_card: + require(args.package, + "--print-card needs --package research/ to resolve its pinned catalogue") + sys.stdout.write(json.dumps(catalogue_card(ROOT, args.package, args.print_card), indent=2) + "\n") + elif args.changed_since: + if set(args.changed_since) == {"0"}: + base = None + changed = git(ROOT, "ls-files", "-z").decode().split("\0") + else: + base = git(ROOT, "rev-parse", "--verify", args.changed_since + "^{commit}").decode().strip() + # A rename must invalidate both the removed input and its new path. + changed = git(ROOT, "diff", "--no-renames", "--name-only", "-z", base, "HEAD").decode().split("\0") + details = plan_details(ROOT, changed) + packages = [row["package"] for row in details] + matrix = json.dumps(replay_matrix(packages, args.matrix_batch_size)) + if args.explain_plan: + head = git(ROOT, "rev-parse", "--verify", "HEAD^{commit}").decode().strip() + write_plan_explanation(args.explain_plan, base, head, changed, details) + print(matrix) + if args.github_output: + with args.github_output.open("a", encoding="utf-8") as out: + out.write(f"matrix={matrix}\ncount={len(packages)}\n") + elif args.package: + if args.check_only: + validate(ROOT, args.package) + print("PASS_PACKAGE_METADATA_AND_PINS (not a mathematical acceptance check)") + else: + run_package(ROOT, args.package, args.install_deps) + else: + ap.error("use --package, --print-card or --changed-since") + except (OSError, ValueError, KeyError, TypeError, subprocess.SubprocessError, importlib.metadata.PackageNotFoundError) as exc: + ap.exit(1, str(exc) + "\n") + + +if __name__ == "__main__": + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/price-plane-swarm-plan-20261024/ROOT-5125-CLEARANCE.json b/research/frozen5383-scoped-ceilings/evidence/price-plane-swarm-plan-20261024/ROOT-5125-CLEARANCE.json new file mode 100644 index 0000000000..93c76201a7 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/price-plane-swarm-plan-20261024/ROOT-5125-CLEARANCE.json @@ -0,0 +1,26 @@ +{ + "comments": [ + { + "id": "discussioncomment-19153737", + "text": "edited\naliromman\n\nDONE / HANDOFF — one changed helper inventory gives conditional kappa 0.00302235. This exact scope is released.\n\nPR #5377, commit c448d13c71908647f968b06cddb795ce7d288139, publishes the proof and full bill, literal word, exact result and source pins.\n\nThe complete conditional bound is 60447/20000000 = 0.00302235, a gain of 0.0000005742 over Cao Yifan's final PR #4610 value. In each backward call, L230 is an owned field prepared from four independent helpers. The one relation in the original claim makes an exact saved frame-254 value replace a rank-eight center and makes a later rank-one climb act on zero. The independent source identities are C0 - snapshot = Delta/4 and L92 = -Delta/4; the cache coefficient is one.\n\nThe complete p16 difference is minus 16 H1 and 16 H8 paid jobs, with minus 16 H9 productive targets. The full bill has 64,372 paid jobs, 10,912 productive fields and rank surplus 752. One extra physical private slot and 46 extra scalar operations per backward call are charged. The new raw crossing lies in (0.00302238736347, 0.00302238736348). Both completion tails, the finite compiler and all 54 strict plus four functional outer predicates pass.\n\nRegistered normal and optimized CPython 3.12.14 replays passed, including all independent/owned entry columns, exact frames and ranks, seven native corruption controls and five cost/outer controls. Metadata, committed bytes, the official 18-file export and both Git-free replays with empty PATH passed. Exported bytes stayed unchanged. GitHub's rendered PR body and all link targets were checked and read back. Hosted CI was pending at this handoff.\n\nThe source absolute-phase receipt is authenticated and reused: no new Gaussian operator or phase recipe is introduced. The full source phase lowering, BIT native replay, Lean, tape/precision execution and integer recovery were not rerun. The bound retains the source native, allowed-erasure, mixed-target all-size, compiler, analytic, precision, tape, prime and recovery contracts. It is not an unconditional theorem or a selected-frontier update.\n\nSmallest independent review task: replay the unrestricted source rows at events 11205, 11332 and 15584, then check the same-gauge COPY and identity-on-zero proof. The package command is:\n\npython3 -B scripts/research_package.py --package research/kappa-owned-relation-20261023\n\nExpected status is PASS_CONDITIONAL_KAPPA_00302235_ONE_OWNED_RELATION in both modes. Local complete modes take a few minutes together. The source profile is Cao Yifan's PR #4610, the controller is Cinna Davis's PR #4470, and zxv's PR #5283 supplied the actual-row/cache-lifetime handoff. The package retains the native, frame, compiler and mixed-target lineage credit. Prepared by Ali Romman with substantial OpenAI Codex assistance; Apache-2.0. No broader cache or helper-relation search is reserved.\n\nOriginal scoped claim, retained for provenance:\n\nCLAIM — changed helper inventory: one explicit relation in each backward #4610 call.\n\nA local exact rational replay has a favorable complete p16 moment candidate. I will verify and package this single relation:\n\nh230 - h324 + h326 + h328 - h333 = 0.\n\n\nAll five source helpers have the same zero entrance and full rank-nine exit. Prepare h230 as an owned field from the other four arbitrary inputs. Debit its H9 productive output in every backward call. Keep all other 407 helper inputs independent. Forward calls retain the original 408 independent helpers.\n\nOn the frozen final #4610 backward word, one formerly paid H1 has an identically zero logical row under that relation. A snapshot of main role92 after source event11205, at frame254, equals the required center output at source event11332. The candidate retains that snapshot and replaces that H8 center call by a copy, then erases the private fields. Event indices refer to the complete source program, including climbs and markers.\n\nThe discovery replay checks every retained independent input column and gives backward paid {1:2200,2:412,3:510,4:127,5:40,8:7}, with one fewer H9 helper. With 16 backward and two unchanged forward calls, the exact histogram change is -16 H1 -16 H8 paid and -16 H9 targets. Rank surplus stays 752. The moment gain is 16*(1+8^s-9^s), positive for 0 1792786762 -0400 +committer Douglas R. Colkitt 1792786762 -0400 + +Admit conditional PR4610 frontier through independent PR5241 audit [skip ci] diff --git a/research/frozen5383-scoped-ceilings/git-evidence/commit/4bd6efa51a495a7c7b7754915cf0244e7e60969e b/research/frozen5383-scoped-ceilings/git-evidence/commit/4bd6efa51a495a7c7b7754915cf0244e7e60969e new file mode 100644 index 0000000000..b08b5f5efd --- /dev/null +++ b/research/frozen5383-scoped-ceilings/git-evidence/commit/4bd6efa51a495a7c7b7754915cf0244e7e60969e @@ -0,0 +1,6 @@ +tree 7c8818178b05733b5d09a6decc34d53b84fdc213 +parent 1ec1119972c9aefe42525172d07b332fcff81cb4 +author Ali Romman <226877337+aliromman@users.noreply.github.com> 1792788545 -0500 +committer Ali Romman <226877337+aliromman@users.noreply.github.com> 1792788545 -0500 + +Research: eight joint helper relations improve conditional kappa to 0.00302666 diff --git a/research/frozen5383-scoped-ceilings/git-evidence/tree/0994002341ec20dbea467f4c19fb8d4300cb88cc 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"199062500002797884756937/490000000000000000000000", + "stop_below_one": "699999999999/700000000000", + "stop_positive": "1/700000000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/700000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/700000000000", + "union_tag_work_per_visit_fits_record": "3/700000000000" + } + }, + "paid": { + "1": 41298, + "16": 448, + "2": 7416, + "24": 448, + "3": 9180, + "32": 448, + "4": 2286, + "40": 448, + "48": 448, + "5": 720, + "56": 448, + "64": 448, + "72": 224, + "8": 144 + }, + "paid_calls": 64404, + "productive_fields": 10928, + "rank_mass_surplus": 752, + "raw_root_interval": [ + "302177587077/100000000000000", + "151088793539/50000000000000" + ], + "scope": "Exact changed-profile arithmetic only. Requires separately admitted changed native programs, paid transports and absolute phases. Retained compiler/native/precision/tape/analytic/recovery assumptions.", + "source_sha256": { + "research/fresh-helper-boundary/native.py": "9b55a2d3c3972148fae9d112e745d9244968166bd89bd900c938f429fc76ab29", + "research/higher-moment-strictification/verify.py": "0ce7e7137422d5ffeda22085c81fa88471bbe963100fdad62e659f1e3bf89326", + "research/joint-helper-lattice/CONTROLLER.json": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f", + "research/joint-helper-lattice/native_joint.py": "50869b1bcad7493e6b4cb2a4cd5d2fd9a193a5921100483fa2c3f2c999ddfd46", + "research/joint-helper-lattice/verify.py": "8eb13f77a94315f811612cb557a17edeecb6b9d9a75dfa238b112dd6520c336f", + "research/kappa-0023-productive-jobs/dependencies/kappa-next-regime/bit-compression/carrier-reuse/reference/joint_pair_dag.py": "8a0de761642d21919e969475c3f13e5d01a4bae7343c1e1f37c586d94b676a85", + "research/kappa-rebuild/architecture/mixed_target_probe.py": "011c3c9d0cf81103dc84d709a0e36793eb7c5ae3f23c85eac27650ef13afa04a", + "research/kappa-rebuild/bit/complex_controller_factor.py": "1de9aaf918e6a4f2f5448754c1f3c3da3b85e6257849ebd097af09859c4e5497", + "research/kappa-rebuild/bit/mixed_productive_bit.py": "b32291b0db7fc0d332ec444c70746ab0fb03351d2e50546f8bcb64060e3ff95e", + "research/kappa-round6-compiler-tightening-20261022/arithmetic.py": "960864e5427a1ca2c319a7b2dee292b6fe50bd5964830031e611591af10dac38", + "research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py": "d097e55f06c3f244f2074ffd7c1a0a5f3c4b4b6a6accf9619d1dde5c0ae85e15", + "research/query-thinned-controllers/RESULT.json": "6ebfc8c0f09166f4834e9d7427410cb31aefff2cd4d4ce588c8e52c9c70e9a0f", + "research/query-thinned-controllers/controller.py": "8b462d660487b1be4940357c4c7522967b1bfaede3c02b1c66109b85acae0fd2" + }, + "status": "PASS_CHANGED_PROFILE_ARITHMETIC_NATIVE_ADMISSION_SEPARATE", + "strictification": { + "alpha": { + "lower": "0.999999999936687383304469699479", + "upper": "0.999999999936687383304469699480" + }, + "cutoff": 20, + "delta": { + "lower": "0.958285308639504859158849914083", + "upper": "0.958285308639504859158849914084" + }, + "floor": 21, + "gamma": { + "lower": "0.956217509753795293454516855483", + "upper": "0.956217509753795293454516855484" + }, + "normalized_paid_upper": "104857600097656251/104857601073741824", + "power": 1024, + "tail_offset": "1/5", + "tested": "302177581/100000000000" + }, + "targets": { + "145": 224, + "17": 448, + "25": 448, + "33": 448, + "4": 504, + "41": 448, + "49": 448, + "57": 448, + "65": 448, + "7": 126, + "73": 224, + "8": 846, + "9": 5868 + } +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py new file mode 100644 index 0000000000..340e1f0ffb --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py @@ -0,0 +1,240 @@ +#!/usr/bin/env python3 +"""Exact endpoint refill conditional on the source PR4359 construction. + +Apache-2.0. Substantial OpenAI assistance. The mixed inventory and elementary +function enclosure are zxv's PR4359; mixed-target flow is Jacob Alan Sussman's +Theorem 1G. Outer formulas retain the attribution in PR4359 outer_parameters.py. +This file checks arithmetic, not the native or all-size proof hypotheses. +""" +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +PREFIX = Path('research/kappa-rebuild') +OLD_BASELINE = Q('0.001730970419199163702738') +KAPPA = Q('0.00230509') +TESTED = Q('0.00230509019') +ROOT_UPPER = Q('0.002306') + + +def need(value, message): + if not value: + raise AssertionError(message) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + + +def ceil(value): + value = Q(value) + return -((-value.numerator) // value.denominator) + + +def encode(value): + if isinstance(value, Q): + return str(value) + if isinstance(value, dict): + return {str(k): encode(v) for k, v in value.items()} + if isinstance(value, (tuple, list)): + return [encode(v) for v in value] + return value + + +def family(kappa, tested): + """One explicit slack family approaching the same source mixed root.""" + need(Q(0) < kappa < tested < ROOT_UPPER, 'Positive strictly ordered savings') + d = (tested-kappa)/7 + return {'kappa': kappa, 'tested_saving': tested, + 'complex_uniform_saving': kappa+6*d, + 'b': kappa+5*d, 'a': kappa+4*d, 'q': kappa+3*d, + 'bit_saving': Q('0.0027'), 'epsilon': 1-d, 'beta': 1-3*d, + 'r0': d/10, 'stop': d, 'layout': d, 'd': d} + + +def ledger(p): + """Recompute all 54 named PR4359 checks with freely supplied parameters.""" + kappa, b, a, q = (p[key] for key in ('kappa', 'b', 'a', 'q')) + epsilon, beta, r0, stop, layout = (p[key] for key in + ('epsilon', 'beta', 'r0', 'stop', 'layout')) + sigma, tau = 1-b, 1-a + internal = tau+(1-stop)*max(sigma-tau, Q(0)) + leaf = sigma+stop*(1-sigma) + lam, c = 1-(q+a)/2, Q(3, 32) + xi, key = epsilon*(1+q)-c+layout, beta+1-epsilon + margins = { + 'main_transform': epsilon*q, + 'global_coordinate_router': a, + 'fused_gaussian': 1-epsilon+q*beta, + 'group_bit_router': 1-epsilon+a*beta, + 'group_scans': 1-epsilon+beta, + 'boundary_algebraic_matrix': c+xi-epsilon, + 'sparse_union_movement': xi+Q(1, 2)-epsilon, + 'polynomial_products': epsilon, + 'microbox_face_corrections': 1-(epsilon+beta+48-128+2), + } + checks = { + 'actual_bit_above_effective': p['bit_saving']-a, + 'complex_above_effective': b-a, + 'q_positive': q, 'complex_endpoint': b-q, 'q_below_effective': a-q, + 'stop_positive': stop, 'stop_below_one': 1-stop, + 'leaf_saving_above_effective': (1-stop)*b-a, + 'q_below_internal': 1-internal-q, 'q_below_leaf': 1-leaf-q, + 'lambda_above_tau': lam-tau, 'lambda_above_sigma': lam-sigma, + 'lambda_above_internal': lam-internal, + 'lambda_prime_above_lambda': 1-q-lam, + 'lambda_prime_above_leaf': 1-q-leaf, + 'epsilon_positive': epsilon, 'epsilon_below_one': 1-epsilon, + 'cap_above_band': xi-Q(1, 2), 'cap_below_cell': epsilon-xi, + 'group_positive': beta, 'group_below_dimension': epsilon-beta, + 'support_router_span': 1-beta, + 'group_gauge_power_slack': 1-(2*xi-2)-r0-beta, + 'actual_logarithmic_group_guard': 1-(2*xi-2)-beta, + 'global_gamma_power_slack': 1-epsilon-r0, + 'actual_logarithmic_gamma_guard': 1-epsilon, + 'alpha_logarithm_absorption': r0, + 'group_key_fits_record': 1-key, + 'membership_arithmetic_fits_record': 1-beta-2*(1-epsilon), + 'microbox_halo_volume': 128-48-beta, + 'positive_layout_slack': layout, + 'short_record_fallback': epsilon-a, + 'complex_below_one_over_32': Q(1, 32)-b, + 'strassen_integer_power_gap': Q(2**45-7**16), + 'theta_positive_polynomial_power': Q(2), + 'cap_below_phase_cell_power': 2-xi, + 'halo_covers_generic_inverse_radius': Q(48-43), + 'union_tag_work_per_visit_fits_record': 1-beta, + 'union_header_fits_record': 1-beta, + 'source_axis_superpolynomial': 1-epsilon, + 'gaussian_above_main': margins['fused_gaussian']-margins['main_transform'], + 'new_complex_uniform_saving_above_b': p['complex_uniform_saving']-b, + 'improvement_over_user_baseline': kappa-OLD_BASELINE, + 'new_semantic_guard_with_C1_one': 1-epsilon, + 'fine_prime_halo_umbrella': 10-(2*2+2+Q(1, 2)), + } + checks.update({name+'_above_kappa': value-kappa for name, value in margins.items()}) + # These are the additional functional conditions in the independent + # PR4359 outer_transfer_audit.py, beyond the 54-row parameter ledger. + functional = { + 'new_semantic_group_guard': 1-beta, + 'new_BIT_row_stock_sublinear_in_active_group': beta*(1-Q(3, 1000)), + 'fixed_halo_explicit_metadata_branch': 128-48-epsilon-beta-1, + } + return {'parameters': dict(p, cap_xi=xi, lambda_=lam, lambda_prime=1-q), + 'margins': margins, 'strict_checks': checks, 'functional_checks': functional} + + +def compiler_rank(E, targets, paid, tested, uniform): + """The original sufficient bound, re-instantiated for the new exponent.""" + m, kmin, rmax = max(targets), min(targets), max(paid) + need((m, kmin, rmax) == (57, 6, 5), 'Pinned complex separation') + t, z = 1-tested, 1-uniform + z0, h = (t+z)/2, Q(1, 10) + delta = z0-t + need(0 < t < z0 < z < 1, 'Compiler exponent order') + need(5**10 < 6**9 and 57 < 2**10, 'Exact source rank bounds') + need(z0 > Q(1, 2) and (1-z0)*E.log_interval(m)[1] < E.log_interval(2)[0], + 'Original eta strictly exceeds 1/4') + H0 = ceil((3+4*delta)/(h*delta)) + ratio = H0*(1-z0)/(z-z0) + H1 = ratio.numerator//ratio.denominator+1 + need(H0 >= m.bit_length() and H0*h*delta >= 3+4*delta, 'Induction starts') + need(H1*(z-z0) > H0*(1-z0), 'Strict winning uniform rank') + need((H0-1)*h*delta < 3+4*delta, 'Reject one lower threshold exponent') + need((H1-1)*(z-z0) <= H0*(1-z0), 'Reject one lower final exponent') + return {'t': t, 'z0': z0, 'z': z, 'theta_upper': Q(9, 10), + 'H0': H0, 'H1': H1, 'N_encoding': '2^H1', + 'strict_final_gap': H1*(z-z0)-H0*(1-z0), + 'winning_word_materialized': False, + 'bound': 'Original sufficient inequality; a sharper bound is separate.'} + + +def run(source_root): + base = source_root/PREFIX + interval_path = base/'architecture/mixed_target_probe.py' + spec = importlib.util.spec_from_file_location('pr4359_moment', interval_path) + E = importlib.util.module_from_spec(spec) + spec.loader.exec_module(E) + cover = read(base/'controller/P3-NATIVE-COVER.json.gz')['cover'] + targets = {int(k): int(v) for k, v in cover['targets'].items()} + paid = {int(k): int(v) for k, v in cover['paid'].items()} + need(targets == {6: 192, 7: 56, 8: 93, 9: 1229, 25: 448, 57: 224}, + 'Exact source productive inventory') + need(paid == {1: 17623, 2: 5065, 3: 1738, 4: 714, 5: 254}, + 'Exact source paid inventory') + signed = Counter(targets) + signed.subtract(paid) + need(sum(k*v for k, v in signed.items()) == 224, 'Rank-one surplus') + bracket = {'lower': E.moment(signed, TESTED), 'upper': E.moment(signed, ROOT_UPPER)} + need(bracket['lower'][0] > 0 and bracket['upper'][1] < 0, + 'Strict mixed test and upper root bound') + + original = read(base/'controller/OUTER-PARAMETERS.json')['outer'] + old = ledger({'kappa': Q('0.0023'), 'complex_uniform_saving': Q('0.002304'), + 'b': Q('0.002303'), 'a': Q('0.0023025'), 'q': Q('0.002302'), + 'bit_saving': Q('0.0027'), 'epsilon': Q('0.99999'), + 'beta': Q('0.99997'), 'r0': Q(1, 10**6), + 'stop': Q(1, 10**8), 'layout': Q(1, 10**6)}) + for group in ('margins', 'strict_checks'): + frozen = {key: Q(value['rational']) for key, value in original[group].items()} + need(old[group] == frozen, 'Exact reproduction of every old '+group) + p = family(KAPPA, TESTED) + result = ledger(p) + need(all(v > 0 for v in result['strict_checks'].values()), 'All 54 new outer predicates') + need(all(v > 0 for v in result['functional_checks'].values()), 'Additional functional predicates') + need(min(result['margins'].values()) == result['margins']['main_transform'], + 'Main transform remains limiting') + need(result['parameters']['cap_xi'] == Q(29, 32)+(1-p['d'])*p['q'], + 'Cofinal cap simplification') + controls = {} + for label, updates in [('closed_epsilon_gap', {'epsilon': Q(1)}), + ('missing_layout', {'layout': Q(0)}), + ('unfunded_kappa', {'kappa': Q('0.002306')}), + ('BIT_below_effective', {'bit_saving': OLD_BASELINE}), + ('no_complex_slack', {'complex_uniform_saving': p['b']})]: + tested = ledger(dict(p, **updates)) + failures = {k: v for k, v in tested['strict_checks'].items() if v <= 0} + need(failures, 'Mutation rejected: '+label) + controls[label] = failures + need(E.moment(signed, Q('0.004'))[1] < 0, 'Unsupported mixed target is rejected') + inputs = [interval_path, base/'controller/P3-NATIVE-COVER.json.gz', + base/'controller/OUTER-PARAMETERS.json'] + return encode({'schema': 'pr4359-cofinal-outer-refill/1', + 'status': 'PASS_EXACT_CONDITIONAL_ENDPOINT_REFILL', + 'kappa': KAPPA, 'gain_over_PR4359': KAPPA-Q('0.0023'), + 'unchanged_paid': paid, 'unchanged_targets': targets, + 'mixed_test_saving': TESTED, 'mixed_test_margin': E.show(bracket['lower']), + 'root_upper_test': ROOT_UPPER, 'root_upper_margin': E.show(bracket['upper']), + 'old_ledger_crosscheck': {'matched_savings': len(old['margins']), + 'matched_checks': len(old['strict_checks'])}, + 'outer': result, 'limiting_margin': min(result['margins'].values())-KAPPA, + 'compiler': compiler_rank(E, targets, paid, TESTED, p['complex_uniform_saving']), + 'negative_controls': controls, + 'source_sha256': {str(p.relative_to(source_root)): sha256(p.read_bytes()).hexdigest() + for p in inputs}, + 'scope': 'Conditional arithmetic and specified finite rank. The PR4359 native, compiler, cover, precision, fixed-tape and outer hypotheses remain premises; no full theorem or practical word is certified.'}) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--source-root', type=Path, default=HERE/'source') + parser.add_argument('--out', type=Path) + args = parser.parse_args() + result = run(args.source_root) + if args.out: + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + print(json.dumps({key: result[key] for key in + ('status', 'kappa', 'gain_over_PR4359', 'limiting_margin', 'compiler')}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/query-thinned-controllers/RESULT.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/query-thinned-controllers/RESULT.json new file mode 100644 index 0000000000..e0695152c9 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/provenance/1ec1119972c9aefe42525172d07b332fcff81cb4/research/query-thinned-controllers/RESULT.json @@ -0,0 +1,356 @@ +{ + "bit_invoice": { + "main": { + "127": 222, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222 + }, + "owned_streams_reused_sequentially": 1, + "paid": { + "1": 25479, + "14": 444, + "2": 24156, + "21": 444, + "28": 444, + "3": 1422, + "35": 444, + "4": 792, + "42": 444, + "49": 444, + "5": 1836, + "56": 444, + "6": 198, + "63": 222, + "7": 342 + }, + "paid_calls": 57555, + "productive_fields": 11454, + "rank_surplus": 753, + "raw_scalar_record_bound": 1000000000, + "targets": { + "127": 222, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222, + "8": 7902 + }, + "thick_calls": 18, + "thick_stages": [ + 0, + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31, + 32 + ], + "thin_queries": 1665, + "whole_idle": { + "14": 444, + "21": 444, + "28": 444, + "35": 444, + "42": 444, + "49": 444, + "56": 444, + "63": 222 + } + }, + "bit_strictification": { + "alpha": { + "lower": "0.999995735238059506641600561767", + "upper": "0.999995735238059506641600561768" + }, + "compiler_H0": 3755884544, + "cutoff_base": 17, + "delta": { + "lower": "0.949707924144871179442776557218", + "upper": "0.949707924144871179442776557219" + }, + "gamma": { + "lower": "0.957429821066420278606254392110", + "upper": "0.957429821066420278606254392111" + }, + "normalized_surplus_lower": "68719461047/16845935476736", + "tail_exponent": "1/5", + "target_floor_base": 18, + "tensor_power": 1024, + "tested_saving": "173/50000", + "uniform_H1": 25986965159937, + "uniform_N": "2^25986965159937", + "uniform_saving": "3459/1000000", + "winning_word_materialized": false + }, + "complex_invoice": { + "main": { + "153": 224, + "17": 448, + "25": 448, + "33": 448, + "41": 448, + "49": 448, + "57": 448, + "65": 448, + "73": 448 + }, + "owned_streams_reused_sequentially": 1, + "paid": { + "1": 49045, + "16": 448, + "2": 13547, + "24": 448, + "3": 4256, + "32": 448, + "4": 1938, + "40": 448, + "48": 448, + "5": 380, + "56": 448, + "64": 448, + "72": 448, + "8": 152 + }, + "paid_calls": 72902, + "productive_fields": 11560, + "rank_surplus": 800, + "raw_scalar_record_bound": 1000000000, + "targets": { + "153": 224, + "17": 448, + "25": 448, + "33": 448, + "41": 448, + "49": 448, + "5": 532, + "57": 448, + "6": 342, + "65": 448, + "7": 1064, + "73": 448, + "8": 1767, + "9": 4047 + }, + "thick_calls": 19, + "thick_stages": [ + 0, + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31, + 33, + 34 + ], + "thin_queries": 1792, + "whole_idle": { + "16": 448, + "24": 448, + "32": 448, + "40": 448, + "48": 448, + "56": 448, + "64": 448, + "72": 448 + } + }, + "complex_strictification": { + "alpha": { + "lower": "0.999999952117240859760145478345", + "upper": "0.999999952117240859760145478346" + }, + "compiler_H0": 75415467350, + "cutoff_base": 20, + "delta": { + "lower": "0.941649713484853845388929204840", + "upper": "0.941649713484853845388929204841" + }, + "gamma": { + "lower": "0.967466409565147920980822933859", + "upper": "0.967466409565147920980822933860" + }, + "normalized_surplus_lower": "8589700209/251666829934592", + "tail_exponent": "1/5", + "target_floor_base": 21, + "tensor_power": 1024, + "tested_saving": "29603/10000000", + "uniform_H1": 10418370291022217, + "uniform_N": "2^10418370291022217", + "uniform_saving": "103609/35000000", + "winning_word_materialized": false + }, + "kappa": "37/12500", + "minimum_outer_margin_minus_kappa": "629378373/4900000000000000", + "native": { + "binary_charts": 111, + "complex_contacts_and_inverses": 896, + "owned_stream_restored_zero": true, + "thin_paid_rank_per_port": 1, + "thin_productive_credit": 0 + }, + "negative_controls": { + "closed_epsilon": [ + "epsilon_below_one", + "global_gamma_power_slack", + "actual_logarithmic_gamma_guard", + "source_axis_superpolynomial", + "gaussian_above_main", + "new_semantic_guard_with_C1_one" + ], + "closed_uniform_gap": [ + "new_complex_uniform_saving_above_b" + ], + "missing_layout": [ + "positive_layout_slack" + ], + "old_BIT_cap": [ + "actual_bit_above_effective" + ], + "unfunded_kappa": [ + "main_transform_above_kappa", + "global_coordinate_router_above_kappa", + "fused_gaussian_above_kappa", + "group_bit_router_above_kappa", + "boundary_algebraic_matrix_above_kappa" + ] + }, + "old_atom_rejected": true, + "ordinary_BIT": { + "admitted": "17/5000", + "after_cover": "69/20000", + "atom": "1/250", + "before_cover": "3459/1000000", + "ordinary_saving": "8590884599/2500000000000", + "prime_rule": "odd q > 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "17429997759/17500000000", + "fixed_halo_explicit_metadata_branch": "1347500003/17500000", + "new_BIT_row_stock_sublinear_in_active_group": "69789991027/70000000000", + "new_semantic_group_guard": "9/70000000" + }, + "margins": { + "boundary_algebraic_matrix": "14504839378373/4900000000000000", + "fused_gaussian": "14504838135119/4900000000000000", + "global_coordinate_router": "51803/17500000", + "group_bit_router": "3626262033773/1225000000000000", + "group_scans": "34999997/35000000", + "main_transform": "14504629378373/4900000000000000", + "microbox_face_corrections": "1347500003/17500000", + "polynomial_products": "69999997/70000000", + "sparse_union_movement": "2005129839378373/4900000000000000" + }, + "parameters": { + "a": "51803/17500000", + "b": "41443/14000000", + "beta": "69999991/70000000", + "bit_saving": "17/5000", + "cap_xi": "4455129629378373/4900000000000000", + "complex_uniform_saving": "103609/35000000", + "d": "3/70000000", + "epsilon": "69999997/70000000", + "kappa": "37/12500", + "lambda_": "19940797/20000000", + "lambda_prime": "69792791/70000000", + "layout": "3/70000000", + "q": "207209/70000000", + "r0": "3/700000000", + "stop": "3/70000000", + "tested_saving": "29603/10000000" + }, + "strict_checks": { + "actual_bit_above_effective": "7697/17500000", + "actual_logarithmic_gamma_guard": "3/70000000", + "actual_logarithmic_group_guard": "444870685621627/2450000000000000", + "alpha_logarithm_absorption": "3/700000000", + "boundary_algebraic_matrix_above_kappa": "839378373/4900000000000000", + "cap_above_band": "2005129629378373/4900000000000000", + "cap_below_cell": "444870160621627/4900000000000000", + "cap_below_phase_cell_power": "5344870370621627/4900000000000000", + "complex_above_effective": "3/70000000", + "complex_below_one_over_32": "396057/14000000", + "complex_endpoint": "3/35000000", + "epsilon_below_one": "3/70000000", + "epsilon_positive": "69999997/70000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "838135119/4900000000000000", + "gaussian_above_main": "104378373/2450000000000000", + "global_coordinate_router_above_kappa": "3/17500000", + "global_gamma_power_slack": "27/700000000", + "group_below_dimension": "3/35000000", + "group_bit_router_above_kappa": "262033773/1225000000000000", + "group_gauge_power_slack": "444870675121627/2450000000000000", + "group_key_fits_record": "3/35000000", + "group_positive": "69999991/70000000", + "group_scans_above_kappa": "34896397/35000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "614514790400418148631/500000000000000000000000", + "lambda_above_internal": "3/140000000", + "lambda_above_sigma": "9/140000000", + "lambda_above_tau": "3/140000000", + "lambda_prime_above_lambda": "3/140000000", + "lambda_prime_above_leaf": "83875671/980000000000000", + "leaf_saving_above_effective": "41875671/980000000000000", + "main_transform_above_kappa": "629378373/4900000000000000", + "membership_arithmetic_fits_record": "3/70000000", + "microbox_face_corrections_above_kappa": "1347448203/17500000", + "microbox_halo_volume": "5530000009/70000000", + "new_complex_uniform_saving_above_b": "3/70000000", + "new_semantic_guard_with_C1_one": "3/70000000", + "polynomial_products_above_kappa": "69792797/70000000", + "positive_layout_slack": "3/70000000", + "q_below_effective": "3/70000000", + "q_below_internal": "3/70000000", + "q_below_leaf": "83875671/980000000000000", + "q_positive": "207209/70000000", + "short_record_fallback": "13958557/14000000", + "source_axis_superpolynomial": "3/70000000", + "sparse_union_movement_above_kappa": "1990625839378373/4900000000000000", + "stop_below_one": "69999997/70000000", + "stop_positive": "3/70000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "9/70000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "9/70000000", + "union_tag_work_per_visit_fits_record": "9/70000000" + } + }, + "relative_gain_over_p7": "27353/268647", + "schema": "query-thinned-productive-controllers/1", + "scope": "Conditional native construction; all-column, erasure, whole-job matching, fixed-tape, precision, analytic, prime and exact-recovery premises retained. No unconditional theorem or selected promotion.", + "source_inputs_authenticated": 17, + "status": "PASS_CONDITIONAL_QUERY_THINNED_KAPPA_00296" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/certificates/selected-result.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/certificates/selected-result.json new file mode 100644 index 0000000000..b288ae4403 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/certificates/selected-result.json @@ -0,0 +1,92 @@ +{ + "status": "Selected maintainer-reviewed conditional PR4610 construction, with independent PR5241 admission evidence and explicit inherited foundation reuse", + "kappa": "15108879/5000000000", + "decimal": "0.0030217758", + "source_prs": [ + 4610, + 5241, + 4470, + 4447, + 4441, + 4440, + 4416, + 4433, + 4359, + 4268, + 3945, + 4085, + 2979, + 4076, + 4088, + 1673, + 1758, + 1786, + 23, + 555, + 589 + ], + "source_manifest": "certificates/frontier4610-source.json", + "certificate": "certificates/frontier4610/CLAIM.json", + "certificate_sha256": "c48376a8365a4c7b67adb368bafa128bede4cd5589a41fa276f96a350d45606c", + "proof": "docs/research/pr-intake-evidence/pr4610/PROOF-REVIEW.md", + "proof_supplements": { + "notes/batched-bit-rows.tex": "ef72c0ead19373cbc19c8a3aacb44dd0f75353ee5f4d055f775a986a4878022c", + "notes/batched-complex-rows.tex": "64c70926a8705874f1c9b42a2f703e42cad4e90f927f544458cfdf729540236c", + "notes/compact-control-movement.tex": "b963c3d2f4e1b7059aa289bb4b4ac89b688920bcf42f5b20d7698cdef0132cc6", + "notes/general-clifford-frames.tex": "c9bb9655b594583c6b4bab8cb485233f1d1e588f83858cf1e4c3530cee8fed54", + "notes/stopped-product-complex.tex": "4738089103a4b263b3b0ef458f5ef35519c696f1ea871ae79e508d3720f5870a", + "notes/three-stage-cover-bit.tex": "47123a756f823c83a0d48cca2bf5add6472cd88410b13aed345e70c8834fb511", + "notes/three-stage-cover-rows.tex": "6ad97a5cd7d6aecf978a81226e1c2763d37840caca130c61f3bf5c4ac111c5c8", + "references/semantic-bulk/pr23/semantic-bulk-17-note.tex": "652242b05174bb776ffc6165af170df9c8cf220dbd0fc26c24d778f320dbabc8", + "research/e8-bit-carrier-skeleton/code/bit/export_records.py": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3", + "research/e8-bit-carrier-skeleton/code/nine/geometry.py": "36eeda3184bd009e89462b65c8725d10860c444f8da8f1f87e5f6e50120011ca", + "research/e8-bit-p111-tuned/code/gen_p3.py": "438b83f10d70ceca7cf78049420204b7de2dc61682f913c50a62596106ad84cd", + "research/e8-bit-p111-tuned/code/xcheck_p.py": "af3decc877e27c00001cf56f50c6c09566e8e101297ab34c7860aed96a06d80e", + "research/e8-bit-p111-tuned/tune/EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4", + "research/e8-bit-p111-tuned/tune/apply.py": "806ae4cb2648e4f05dcf56bd089891fd3ba33a6ee5fe76d3329e322c6770c1a1", + "research/e8-bit-p111-tuned/tune/wlib.py": "a37fdf3cdf5f62945c2a90193401c0e9edc9dd3cda8d8cb36a3b9c329ebe4dbc", + "research/t74-native-fast/vendor/native/new/code/borrow/vendor/clifford/clifford_exact.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962", + "docs/research/pr-intake-evidence/pr4359/PROOF-REVIEW.md": "7d67bb814285f7634029fbd378c6457156545f0b38858cc1c6ec34b68cd9d162", + "docs/research/pr-intake-evidence/pr4470/PROOF-REVIEW.md": "5c111dd56beb53dc44ab727d96e1af03aaf50f3023d4342e2b0a89ede6cf585b", + "docs/research/pr-intake-evidence/pr4416/PROOF-REVIEW.md": "2c2bbe6fe1bab44778192118f27e59a0d23dbe02c47aa8a42845093f1ce46f49", + "docs/research/pr-intake-evidence/pr4610/PROOF-REVIEW.md": "b84f833e3072cbab372fbda2ece98fbc031c15e590cf73003ddea35a5222e148", + "research/final4610-independent-admission/PROOF.md": "e573cbbe6fa5481c0533e773de404e10f4dc7907b5ebfe404bdcd02dcf9844d8", + "research/final4610-independent-admission/SPECIALIZATION.md": "70430114f744108223bc1d44b98bc25b696c4b408b7b044c2a8bbdfdb434ac5c" + }, + "review": "docs/research/pr-intake-evidence/pr4610/PROOF-REVIEW.md", + "validation": "docs/research/pr-intake-evidence/pr4610/VALIDATION.json", + "integration": "docs/research/pr-intake-evidence/pr4610/INTEGRATION.json", + "reproduce": "make frontier4610-verify", + "scope": "Maintainer-reviewed conditional PR4610 construction using the PR5241 independent audit. The five PR4470 framework assumptions are unchanged. Uniform words are not materialized.", + "previous_kappa": "60403/20000000", + "previous_record": "certificates/checkpoints/frontier4470.json", + "audited_source_head": "20bb93cd990d2ff683e4d0fc56b87a42cd5d3296", + "source_certificate": "research/kappa-round6-compiler-tightening-20261022/ARITHMETIC.json", + "source_certificate_sha256": "b4f720a7ccbb5b46e472eaf85dc8739a40598986f19b37d26c4f9ecfbd31f0de", + "replay_mode": "Fresh complete independent admission replay; source-bound preceding controller, ordinary BIT and physical/compiler foundation reuse", + "contributors": "docs/research/community-native4610-contributors.md", + "assumptions": [ + { + "id": "native_all_columns", + "statement": "Retained native operators, phase conventions, spectators and whole-job adapters work at every positive column multiplicity." + }, + { + "id": "owned_erasure", + "statement": "Owned streams and suspended centers obey the retained allocation, erasure and ownership contracts." + }, + { + "id": "compiler", + "statement": "The finite mixed-target compiler and chronological product, completion and splitting satisfy the retained uniform closure contract." + }, + { + "id": "precision_tape", + "statement": "Retained fixed-tape movement and precision/storage prescriptions apply to the new fixed finite template." + }, + { + "id": "analytic_recovery", + "statement": "Analytic decomposition, fine-prime avoidance and exact integer recovery follow the retained upstream/outer framework." + } + ], + "audit_pr": 5241, + "audit_head": "13efb5fc5f3b7c14ec2cfa181dd9eb6480972cf2" +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/higher-moment-strictification/verify.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/higher-moment-strictification/verify.py new file mode 100644 index 0000000000..4b24a50961 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/higher-moment-strictification/verify.py @@ -0,0 +1,421 @@ +#!/usr/bin/env python3 +"""Higher-moment strictification and a polynomial-logarithm compiler bound. + +New arithmetic is independent of predecessor interval code. The unchanged +invoice replay and two outer ledgers are credited, byte-pinned oracles. +zxv with substantial OpenAI Codex assistance. Apache-2.0. +""" +import argparse +import ast +from collections import Counter +from contextlib import redirect_stdout +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256, sha1 +import io +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +GRID = 2**192 +C = Q('0.00268648') +KAPPA = Q('0.00268647') +T = {5:420, 6:270, 7:840, 8:1395, 9:3195, + 25:448, 41:448, 57:448, 121:224} +P = {1:37305, 2:10695, 3:3360, 4:1530, 5:300, + 8:1464, 16:448, 32:448, 48:448} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def down(x): + return Q((x*GRID).__floor__(), GRID) + + +def up(x): + return Q(-((-x*GRID).__floor__()), GRID) + + +def rounded(lo, hi): + return down(lo), up(hi) + + +def mul(a, b): + products = [x*y for x in a for y in b] + return rounded(min(products), max(products)) + + +def scale(a, x): + return mul(a, (x, x)) + + +def divide(a, b): + need(b[0] > 0, 'positive interval denominator') + return mul(a, rounded(1/b[1], 1/b[0])) + + +@lru_cache(None) +def log_bounds(n): + """Exact atanh series, binary reduction; round only the final interval.""" + need(isinstance(n, int) and n >= 1, 'positive integer logarithm') + + def series(x): + u = (x-1)/(x+1) + term, total = u, Q(0) + for j in range(80): + total += 2*term/(2*j+1) + term *= u*u + tail = 2*term/(161*(1-u*u)) + return total, total+tail + + k = n.bit_length()-1 + a, b = series(Q(2)) + c, d = series(Q(n, 2**k)) + return rounded(k*a+c, k*b+d) + + +def exp_point(x): + """Outward fixed-point Taylor enclosure, with binary scaling/squaring.""" + need(abs(x) < 16, 'bounded exponential argument') + if x < 0: + a, b = exp_point(-x) + return rounded(1/b, 1/a) + divisions = 0 + while x > Q(1, 2): + x /= 2 + divisions += 1 + term = total = (Q(1), Q(1)) + for j in range(1, 65): + term = scale(term, x/j) + total = rounded(total[0]+term[0], total[1]+term[1]) + following = scale(term, x/65) + # Every remaining ratio is <= 1/132. Twice the next term is safe. + result = rounded(total[0], total[1]+2*following[1]) + for _ in range(divisions): + result = mul(result, result) + return result + + +def exp_interval(a): + return exp_point(a[0])[0], exp_point(a[1])[1] + + +@lru_cache(None) +def power(n, exponent): + return exp_interval(scale(log_bounds(n), exponent)) + + +def moment(histogram, exponent): + low = high = Q(0) + for n, count in histogram.items(): + a, b = power(n, exponent) + low += count*a + high += count*b + return rounded(low, high) + + +def display(a): + unit = 10**30 + + def fixed(n): + sign = '-' if n < 0 else '' + s = str(abs(n)).rjust(31, '0') + return sign+s[:-30]+'.'+s[-30:] + + return {'lower': fixed((a[0]*unit).__floor__()), + 'upper': fixed(-((-a[1]*unit).__floor__()))} + + +def encoded(x): + if isinstance(x, Q): + return str(x) + if isinstance(x, dict): + return {str(k): encoded(v) for k, v in x.items()} + if isinstance(x, (list, tuple)): + return [encoded(v) for v in x] + return x + + +def source_environment(path): + env = {'__file__': str(path), '__name__': 'pinned_source_oracle'} + exec(compile(path.read_bytes(), str(path), 'exec'), env) + return env + + +def authenticate(): + result = {} + for row in json.loads((HERE/'VENDOR.json').read_text())['files']: + path = HERE/'vendor'/Path(row['path']).relative_to( + 'research/higher-moment-strictification/vendor') + digest = sha256(path.read_bytes()).hexdigest() + need(digest == row['sha256'], 'changed source: '+row['path']) + raw = path.read_bytes() + need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + == row['git_blob'], 'changed Git source blob') + result[row['path']] = digest + return result + + +def invoice_oracle(): + """Run #4426 unchanged, rebinding only its two file-location globals.""" + path = HERE/'vendor/invoice-review/verify.py' + env = source_environment(path) + env.update(ROOT=path.parent, PHASES='DATA-PHASES.json') + output = io.StringIO() + with redirect_stdout(output): + env['main']() + result = json.loads(output.getvalue()) + need(result['status'] == 'PASS_PR4416_INVOICE_REBUILD', 'source invoice oracle') + need({int(k): v for k, v in result['targets'].items()} == T + and {int(k): v for k, v in result['paid'].items()} == P, + 'exact literal-word invoice') + return result + + +def tail_certificate(v=150, cutoff=10, floor=15, u=Q(3, 10)): + t = 1-C + need(v >= 1 and 1 < cutoff < floor < 121, 'strict finite ranks') + need(t+u >= 1, 'tail moment exponent at least one') + target, paid = moment(T, t), moment(P, t) + alpha = divide(paid, target) + gamma = divide(moment(P, t+u), mul(power(cutoff, u), target)) + delta = divide((Q(sum(T.values())*floor),)*2, + mul(power(cutoff, C), target)) + limits = (1-Q(1, 10**8), Q(181, 200), Q(439, 500)) + for name, bounds, limit in zip(('alpha', 'gamma', 'delta'), + (alpha, gamma, delta), limits): + need(0 < bounds[0] <= bounds[1] < limit < 1, name+' certified limit') + a, g, d = limits + bound = 1/(1+v*(1-a))+2*g**v+2*d**v + need(bound < 1, 'complete charged normalized moment') + old_gamma = divide((Q(sum(k*n for k, n in P.items())),)*2, + mul(power(cutoff, C), target)) + old_lower = alpha[0]**v+2*old_gamma[0]**v + need(old_lower > 1, 'rank-one-tail estimate fails at this tensor power') + return {'tensor_power': v, 'cutoff_base': cutoff, 'floor_base': floor, + 'paid_moment_exponent': t+u, 'tail_offset_u': u, + 'tested_saving': C, 'alpha': display(alpha), 'gamma': display(gamma), + 'delta': display(delta), 'rational_upper_limits': limits, + 'normalized_paid_upper': bound, 'strict_moment_gap': display((1-bound,)*2), + 'old_rank_one_gamma': display(old_gamma), + 'old_rank_one_bound_lower': display((old_lower, old_lower)), + 'ambient': '121^'+str(v), 'minimum_target': str(floor)+'^'+str(v), + 'maximum_paid': str(cutoff)+'^'+str(v), + 'productive_fields_before_uniform_compiler': '7688^'+str(v), + 'rank_one_surplus': '131723^'+str(v)+'-131115^'+str(v), + 'materialized_product_or_uniform_word': False} + + +def uniform_rank(v): + t, p, theta = 1-C, 13, Q(6, 7) + gap = (C-KAPPA)/7 + uniform_saving = C-gap + need(10**7 < 15**6, 'theta upper bound') + need(2*(10**v)**7 <= (121**v)**6, 'shifted logarithm inequality') + eta = scale(exp_interval(scale(log_bounds(121), -v*C)), t) + need(eta[0] > theta**p, 'exit contraction below complement capacity') + base = exp_interval(scale(log_bounds(121), v*C)) + need(base[1] < 2**p, 'entire ordinary base range fits') + # Integer grid: gap*H is integral, avoiding enormous rational powers. + step = gap.denominator + need(gap.numerator == 1, 'chosen rational gap grid') + + def passes(j): + H = step*j + return (H+1)**p < 2**j + + lo, hi = 1, 2 + while not passes(hi): + lo, hi = hi, 2*hi + while hi-lo > 1: + mid = (lo+hi)//2 + if passes(mid): + hi = mid + else: + lo = mid + H = step*hi + need(H > 7*v and passes(hi) and not passes(hi-1), 'final integer comparison') + need(eta[1] < theta**(p-1), 'one smaller logarithmic power fails') + return {'t': t, 'uniform_saving': uniform_saving, 'gap': gap, + 'logarithm_power': p, 'theta_upper': theta, 'eta': display(eta), + 'eta_minus_theta_to_p': display((eta[0]-theta**p, eta[1]-theta**p)), + 'm_to_saving': display(base), 'H': H, 'N': '2^'+str(H), + 'integer_test': {'left_base': H+1, 'left_exponent': p, + 'right_base': 2, 'right_exponent': hi}, + 'grid_step': step, 'previous_grid_point_rejected': True, + 'smaller_logarithmic_power_rejected': True} + + +def power_majorant_comparison(v, uniform_saving): + """Retain #4416's older power proof, changing only the new unit's ranks.""" + t, z, h = 1-C, 1-uniform_saving, Q(1, 7) + z0 = (t+z)/2 + delta = z0-t + B, debt = (4+7*h)*v, 1+7*v*(1-z0) + ratio = (delta*B+debt)/(h*delta) + H0 = -((-ratio.numerator)//ratio.denominator) + ratio = H0*(1-z0)/(z-z0) + H1 = ratio.numerator//ratio.denominator+1 + need(H0 >= 7*v and H0*h*delta >= delta*B+debt, 'power majorant threshold') + need((H0-1)*h*delta < delta*B+debt, 'previous power threshold rejected') + need(H1*(z-z0) > H0*(1-z0) >= (H1-1)*(z-z0), + 'strict power-majorant comparison and previous-rank control') + return {'H0': H0, 'H1': H1, 'N': '2^'+str(H1), 'theta_upper': 1-h, + 'scope': 'Tail transformation alone, retaining the older power majorant.'} + + +def outer_ledger(uniform_saving): + d = (C-KAPPA)/7 + params = {'kappa': KAPPA, 'tested_saving': C, + 'complex_uniform_saving': uniform_saving, 'b': KAPPA+5*d, + 'a': KAPPA+4*d, 'q': KAPPA+3*d, 'bit_saving': Q('0.0027'), + 'epsilon': 1-d, 'beta': 1-3*d, 'r0': d/10, + 'stop': d, 'layout': d, 'd': d} + env = source_environment(HERE/'vendor/outer_endpoint.py') + row = env['ledger'](params) + need(len(row['strict_checks']) == 54 and len(row['functional_checks']) == 3, + 'complete first outer ledger') + need(all(v > 0 for group in ('strict_checks', 'functional_checks') + for v in row[group].values()), 'all outer predicates') + frozen = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['outer'] + need(encoded(row) == frozen, 'unchanged full p7 endpoint ledger') + parsed = ast.parse((HERE/'vendor/check_ledger.py').read_bytes()) + function = next(n for n in parsed.body + if isinstance(n, ast.FunctionDef) and n.name == 'ledger') + constants = [n for n in parsed.body if isinstance(n, ast.Assign) + and any(isinstance(t, ast.Name) and t.id.startswith('KAPPA_') + for t in n.targets)] + eps, beta, q, a = (params[k] for k in ('epsilon', 'beta', 'q', 'a')) + grid = 10**10 + backoff = Q((eps*q*grid).__floor__(), grid)-KAPPA + need(backoff > 0, 'strict derived oracle grid backoff') + oracle = {'Q': Q, 'R0': params['r0'], 'ZETA': Q(1, 10**8), + 'SLACK': d, 'STOP': d, 'FLOOR': grid, 'BACKOFF': backoff, + 'EPS': eps, 'BETA': beta, 'THETA_POWER': Q(2), + 'HALO_POWER': 48, 'CORE_POWER': 128, 'STRASSEN_TAU': Q(45, 16), + 'b': params['b'], 'q': q, 'a': a, 'bit': params['bit_saving'], + 'online': Q('0.001730970419199163702738'), + 'old': Q('0.001730970419199163702738')} + code = ast.fix_missing_locations(ast.Module(body=constants+[function], type_ignores=[])) + exec(compile(code, 'pinned 63-predicate ledger', 'exec'), oracle) + second = oracle['ledger']('higher_moment_smaller_ranks') + need(second['kappa'] == KAPPA and second['margins'] == row['margins'], + 'all nine rows match both ledgers') + need(len(second['strict_checks']) == 63 and + all(v > 0 for v in second['strict_checks'].values()), 'all 63 legacy predicates') + controls = {} + for name, updates in [('closed_epsilon', {'epsilon': Q(1)}), + ('missing_layout', {'layout': Q(0)}), + ('unfunded_kappa', {'kappa': C}), + ('closed_uniform_gap', {'complex_uniform_saving': params['b']}), + ('insufficient_BIT', {'bit_saving': Q('0.0023')})]: + bad = env['ledger'](dict(params, **updates)) + failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0) + need(failed, 'outer control rejected: '+name) + controls[name] = failed + for name, options in [('old_per_axis_scan', {'old_scan': True}), + ('group_equals_dimension', {'beta_': eps})]: + bad = oracle['ledger']('reject_'+name, **options) + failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0) + need(failed, 'legacy control rejected: '+name) + controls[name] = failed + return {'ledger': row, 'legacy_63_checks': second['strict_checks'], + 'legacy_grid': grid, 'legacy_backoff': backoff, + 'minimum_margin_minus_kappa': min(row['margins'].values())-KAPPA, + 'rejected_controls': controls} + + +def finite_controls(): + def tensor(histogram): + out = Counter() + for k, n in histogram.items(): + for h, b in histogram.items(): + out[k*h] += n*b + return out + + def split(histogram, cutoff): + out = Counter() + for k, n in histogram.items(): + q, r = divmod(k, cutoff) + out[cutoff] += q*n + if r: + out[r] += n + return +out + + target, paid = tensor({2:1, 5:1}), tensor({1:2, 4:1}) + padded, completion = Counter(), Counter() + for k, n in target.items(): + padded[max(k, 9)] += n + if k < 9: + completion[9-k] += n + final = split(paid+completion, 4) + mass = lambda x: sum(k*n for k, n in x.items()) + need(mass(padded)-mass(final) == 7**2-6**2 == 13, 'exact paid padding mass') + need(min(padded) > max(final), 'exact toy separation') + need(final == Counter({1:5, 4:9}), 'literal toy expanded inventory') + # t=1/2, sigma=3/4, R=100, J=1 refutes a sublinear tail extension. + invalid = power(100, Q(1, 2))[1]+2*power(100, Q(3, 4))[1] + need(invalid < 100, 'sublinear upper-tail moment cannot bound splitting') + return {'toy_targets': padded, 'toy_paid': final, 'rank_one_surplus': 13, + 'sublinear_tail_counterexample': {'R': 100, 'J': 1, 't': '1/2', + 'sigma': '3/4', 'actual_charge': 100, + 'invalid_upper': display((invalid, invalid))}} + + +def verify(): + sources = authenticate() + invoice = invoice_oracle() + tail = tail_certificate() + rank = uniform_rank(tail['tensor_power']) + endpoint = outer_ledger(rank['uniform_saving']) + controls = finite_controls() + rejected = [] + for name, updates, expected in [ + ('too_short_product', {'v': 100}, 'complete charged normalized moment'), + ('sublinear_tail', {'u': C/2}, 'tail moment exponent at least one'), + ('lost_separation', {'floor': 10}, 'strict finite ranks'), + ]: + try: + tail_certificate(**updates) + except ValueError as error: + need(str(error) == expected, 'wrong rejection: '+name) + rejected.append({'mutation': name, 'failed_at': str(error)}) + else: + raise ValueError('accepted mutation: '+name) + old = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['compiler'] + return encoded({'schema': 'higher-moment-native-strictification/1', + 'status': 'PASS_HIGHER_MOMENT_STRICTIFICATION', 'kappa': KAPPA, + 'invoice_oracle': invoice, 'strictification': tail, + 'uniform_rank': rank, 'outer': endpoint, + 'tail_only_power_majorant': power_majorant_comparison( + tail['tensor_power'], rank['uniform_saving']), + 'finite_controls': controls, 'rejected_mutations': rejected, + 'predecessor_H': old['H1'], + 'rank_exponent_reduction_factor': Q(old['H1'], rank['H']), + 'tensor_power_reduction_factor': Q(6240, tail['tensor_power']), + 'source_sha256': sources, + 'verifier_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'scope': 'Conditional charged transformation and finite compiler rank. Native all-column, physical, analytic, precision, storage, fixed-tape and recovery premises remain inherited. No new kappa, selected frontier or practical word.'}) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--out', type=Path) + args = parser.parse_args() + result = verify() + if args.out: + need(not args.out.exists(), 'new output path required') + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + else: + need(json.loads((HERE/'RESULT.json').read_text()) == result, 'changed saved receipt') + print(json.dumps({'status': result['status'], 'tensor_power': result['strictification']['tensor_power'], + 'uniform_rank': result['uniform_rank']['N'], + 'strict_moment_gap': result['strictification']['strict_moment_gap'], + 'kappa': result['kappa']})) + + +if __name__ == '__main__': + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/joint-helper-lattice/CONTROLLER.json 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a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py new file mode 100644 index 0000000000..5a55034ec9 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py @@ -0,0 +1,351 @@ +#!/usr/bin/env python3 +"""Independent literal native replay with arbitrary dirty cleanup buffers. + +The retained emitter supplies words; this module imports no retained evaluator. +Free warp symbols distinguish primal and inverse-transpose operators. Physical +phase receipts are authenticated inherited evidence, not regenerated here. +Apache-2.0. Substantial OpenAI assistance. +""" +from collections import Counter, defaultdict +from fractions import Fraction +from hashlib import sha256 +from pathlib import Path +import argparse +import ast +import gzip +import json + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[2] +CORE = ROOT / "research/kappa-native-resume/native-source/rebased-core" +PACKET = ROOT / "research/kappa-native-resume/causal-controller/sources/research/joint-query/certificate.json.gz" +TAGS = ("THREE-base", "THREE-extra", "FOUR-base", "FOUR-extra") +Q = Fraction + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == ".gz" else raw) + + +def digest(path): + return sha256(path.read_bytes()).hexdigest() + + +def authenticate(): + pins = read(HERE / "SOURCES.json") + for relative, expected in pins.items(): + need(digest(ROOT / relative) == expected, "Changed retained source: " + relative) + return pins + + +def emit_original(canonical): + """Reuse only the pinned source's pure writer; no source verifier executes.""" + source = CORE / "sources/bw_emit.py" + names = {"basis", "reg", "dual", "scalar", "lregs", "expand", "emit", "primitive_bound"} + tree = ast.parse(source.read_text()) + functions = [n for n in tree.body if isinstance(n, ast.FunctionDef) and n.name in names] + need({n.name for n in functions} == names, "Exact writer function inventory") + context = dict(c=canonical, frames=canonical["frames"], v=112, R=408, h=9, n=632, Q=Q) + exec(compile(ast.Module(body=functions, type_ignores=[]), str(source), "exec"), context) + return {"forward": context["emit"](False), "backward": context["emit"](True)} + + +def span(basis): + points = {0} + for vector in basis: + need(isinstance(vector, int) and 0 <= vector < 512, "Nine-dimensional frame") + points |= {v ^ vector for v in tuple(points)} + return frozenset(points) + + +def identity(role): + return {(role, ()): Q(1)} + + +def add(destination, source, coefficient): + for key, value in tuple(source.items()): + value = destination.get(key, Q(0)) + coefficient * value + if value: + destination[key] = value + else: + destination.pop(key, None) + + +def warp(row, operator, backward): + symbol = (1 if operator > 0 else -1) * (abs(operator) + (10**6 if backward else 0)) + out = {} + for (variable, word), coefficient in row.items(): + moved = word[1:] if word and word[0] == -symbol else (symbol,) + word + key = variable, moved + out[key] = out.get(key, Q(0)) + coefficient + return {k: v for k, v in out.items() if v} + + +def expected(role, R, backward, clean): + out = identity(role) + name, i = role + if name != "L": + return out + target = i < 112 if backward else 112 <= i < 224 + if not target: + return out + port = i if backward else i - 112 + source_offset = 112 if backward else 0 + sign = -1 if backward else 1 + add(out, identity(("L", source_offset + port)), Q(sign)) + if clean: + for query in R: + if port in query: + for j, value in query.items(): + add(out, identity(("L", source_offset + j)), -sign * query[port] * value / 4) + return out + + +def replay(program, canonical, R, backward, clean, omit_cleanup_last=False): + """All L inputs and all Z inputs are independent, including dirty outputs.""" + n = 2 * canonical["v"] + canonical["R"] + need(n == 632, "Retained compact width") + rows = {("L", i): identity(("L", i)) for i in range(n)} + current = {("L", i): frame for i, frame in enumerate(canonical["start"])} + center_indices = set() + for event in program: + if event[0] == "scalar": + op = event[1] + for register in op[1:3] if op[0] in ("add", "copy") else op[1:2]: + if register[0] == "C": + center_indices.add(register[1]) + elif event[0] == "center": + center_indices.add(event[1]) + need(center_indices <= set(range(8)), "Known center workspace indices") + for i in center_indices: + rows["C", i] = identity(("C", i)) + current["C", i] = None + spaces = [span(vectors) for vectors in canonical["frames"]] + dimensions = [len(s).bit_length() - 1 for s in spaces] + need(dimensions[1] == 9, "Cleanup uses the full native frame") + live = set() + profile = Counter() + counts = Counter() + scalar_primitives = 0 + cleanup_start = next(i for i, event in enumerate(program) if event == ["phase", "full_frame_cleanup"]) + last_scalar = max(i for i, event in enumerate(program) if event[0] == "scalar" and i > cleanup_start) + for position, event in enumerate(program): + kind = event[0] + counts[kind] += 1 + if kind in ("climb", "center"): + if kind == "climb": + _, part, index, old, new, rank = event + role = "L", index + need(spaces[old] < spaces[new], "Non-nested or empty paid climb") + else: + _, index, old, new, rank = event + role = "C", index + need(spaces[old] < spaces[new] or spaces[new] < spaces[old], "Center residual is not nested") + need(current[role] == old and rank == abs(dimensions[new] - dimensions[old]), "Paid edge source/rank") + current[role] = new + profile[rank] += 1 + elif kind == "zero_buffer": + _, action, index = event + role = "Z", index + if action == "alloc": + need(role not in rows and role not in live, "Cleanup buffer duplicate") + rows[role] = identity(role) + current[role] = 1 + live.add(role) + else: + need(action == "free" and role in live and current[role] == 1, "Cleanup buffer retirement") + live.remove(role) + elif kind == "warp": + _, role, operator, old, new = event + role = tuple(role) + need(current[role] == old, "Warp entrance frame") + rows[role] = warp(rows[role], operator, backward) + current[role] = new + elif kind == "scalar": + op, frame = event[1:] + target = tuple(op[1]) + if op[0] == "clear": + need(target[0] == "C", "A borrowed input was cleared") + rows[target] = {} + current[target] = frame + scalar_primitives += 1 + continue + need(current[target] == frame, "Scalar target frame") + if op[0] in ("add", "copy"): + source = tuple(op[2]) + need(current[source] == frame, "Scalar source frame") + if op[0] == "copy": + need(target[0] == "C", "Copy overwrites borrowed state") + rows[target] = dict(rows[source]) + scalar_primitives += 1 + continue + coefficient = Q(op[3], op[4]) + need(target != source, "Self-ADD is not a reversible shear") + numerator, denominator = abs(coefficient.numerator), coefficient.denominator + need(numerator and denominator & (denominator - 1) == 0, "Non-dyadic ADD") + scalar_primitives += 3 + numerator.bit_length() - 1 + numerator.bit_count() + denominator.bit_length() - 1 + if not (omit_cleanup_last and position == last_scalar): + add(rows[target], rows[source], coefficient) + else: + need(op[0] == "scale", "Unknown scalar event") + coefficient = Q(op[2], op[3]) + numerator, denominator = abs(coefficient.numerator), coefficient.denominator + need(numerator and numerator & (numerator - 1) == 0 and denominator & (denominator - 1) == 0, + "Nonunit dyadic SCALE") + scalar_primitives += abs(numerator.bit_length() - denominator.bit_length()) + int(coefficient < 0) + if not (omit_cleanup_last and position == last_scalar): + rows[target] = {k: coefficient * v for k, v in rows[target].items()} + else: + need(kind in ("phase", "adapter", "residual_adapter"), "Unknown native event") + need(not live and [current["L", i] for i in range(n)] == canonical["final"], "Retired fields/final frames") + need(dict(profile) == {int(k): v for k, v in canonical["local_profile"].items()}, "Complete paid profile") + mismatches = [] + for role, actual in rows.items(): + wanted = {} if role[0] == "C" else expected(role, R, backward, clean) + if actual != wanted: + mismatches.append({"role": list(role), "unequal_coefficients": sum(actual.get(k, 0) != wanted.get(k, 0) for k in set(actual) | set(wanted))}) + if not omit_cleanup_last: + need(not mismatches, "Native dirty-buffer operator mismatch: " + repr(mismatches[:3])) + else: + need(mismatches, "Missing-cleanup negative control unexpectedly accepted") + buffer_count = sum(role[0] == "Z" for role in rows) + return dict(direction="backward" if backward else "forward", clean_J=clean, + independent_borrowed_input_fields=632+buffer_count, original_data_fields=224, + expected_restored_helpers=408, expected_restored_arbitrary_cleanup_buffers=buffer_count, + explicitly_owned_C_fields_cleared=len(center_indices), event_counts=dict(counts), + paid_profile=dict(sorted(profile.items())), paid_rank_mass=sum(k*v for k,v in profile.items()), + conservative_real_scalar_primitive_allowance=2*scalar_primitives, + all_scalar_frames_checked=True, dyadic_coefficients_and_unit_scales_checked=True, + free_warp_operator_endpoint_matches=not mismatches, + negative_control_omitted_last_cleanup_scalar=omit_cleanup_last, + mismatch_examples=mismatches[:3]) + + +def liveness(canonical): + times = defaultdict(list) + for i, event in enumerate(canonical["cleanup"]): + for role in event[1:3] if event[0] == "add" else event[1:2]: + role = tuple(role) if isinstance(role, list) else ("L", role) + times[role].append(i) + full = [i for i, f in enumerate(canonical["final"]) if f == 1] + candidates = [] + for z in canonical["zero_buffers"]: + begin, end = min(times["Z", z]), max(times["Z", z]) + possible = [i for i in range(112) if all(t < begin or t > end for t in times["L", i])] + candidates.append(dict(buffer=z, first_use=begin, last_use=end, + noninterfering_same_call_X_candidates=possible, + noninterfering_full_frame_L_candidates=[i for i in full if all(t < begin or t > end for t in times["L", i])])) + return dict(full_frame_live_roles=len(full), full_frame_roles_unused_in_cleanup=[i for i in full if not times["L", i]], + same_call_X_outputs_touched=sum(bool(times["L", i]) for i in range(112)), + buffers_with_no_noninterfering_same_call_X=sum(not row["noninterfering_same_call_X_candidates"] for row in candidates), + buffers_with_no_noninterfering_full_frame_L=sum(not row["noninterfering_full_frame_L_candidates"] for row in candidates), + intervals=candidates, + conclusion="Arbitrary-buffer restoration does not establish a legal same-call completed-output alias.", + external_same_frame_bank_requirement=91, + external_bank_hosting_constructed=False) + + +def find_aliases(canonical): + """Injective lifetime-safe matching; no native L access during its Z span.""" + options = {row["buffer"]: row["noninterfering_full_frame_L_candidates"] + for row in liveness(canonical)["intervals"]} + owner = {} + + def augment(z, seen): + for role in options[z]: + if role in seen: + continue + seen.add(role) + if role not in owner or augment(owner[role], seen): + owner[role] = z + return True + return False + + for z in sorted(options, key=lambda z: (len(options[z]), z)): + augment(z, set()) + bindings = {z: role for role, z in owner.items()} + need(len(set(bindings.values())) == len(bindings), "Alias must be injective") + need(all(role in options[z] for z, role in bindings.items()), "Interfering alias") + return bindings + + +def alias_program(program, bindings): + """Replace only Z register operands, retaining every native/scalar event.""" + out = [] + + def mapped(role): + return ["L", bindings[role[1]]] if role[0] == "Z" and role[1] in bindings else list(role) + + for event in program: + if event[0] == "zero_buffer" and event[2] in bindings: + continue + if event[0] == "scalar": + op = event[1].copy() + op[1] = mapped(op[1]) + if op[0] in ("add", "copy"): + op[2] = mapped(op[2]) + out.append(["scalar", op, event[2]]) + elif event[0] == "warp": + out.append([event[0], mapped(event[1]), *event[2:]]) + else: + out.append(event) + return out + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--output", type=Path, default=HERE / "RESULT.json") + args = parser.parse_args() + pins = authenticate() + R = [{int(k): Q(v) for k, v in row.items()} for row in read(PACKET)["R_rows"]] + providers = {} + for tag in TAGS: + providers[tag] = {} + for clean in (False, True): + folder = "converted" if clean else "sources" + canonical = read(CORE / folder / (tag + "-CANONICAL.json.gz")) + programs = read(CORE / folder / (tag + "-NATIVE-WORD.json.gz")) if clean else emit_original(canonical) + checks = [replay(programs[direction], canonical, R, direction == "backward", clean) + for direction in ("forward", "backward")] + bindings = find_aliases(canonical) + aliases = {direction: alias_program(program, bindings) for direction, program in programs.items()} + aliased_checks = [replay(aliases[direction], canonical, R, direction == "backward", clean) + for direction in ("forward", "backward")] + need(len(bindings) == 53, "Expected source-bound 53-field lifetime match") + for original, aliased in zip(checks, aliased_checks): + need(original["paid_profile"] == aliased["paid_profile"] and + original["conservative_real_scalar_primitive_allowance"] == aliased["conservative_real_scalar_primitive_allowance"], + "Aliasing changes the charged operation list") + providers[tag]["clean_J" if clean else "ordinary"] = dict(checks=checks, liveness=liveness(canonical), + lifetime_alias_bindings={str(z): role for z, role in sorted(bindings.items())}, + aliased_checks=aliased_checks, + eliminated_cleanup_fields=len(bindings), remaining_cleanup_fields=91-len(bindings), + aliased_word_sha256={direction: sha256(json.dumps(program, sort_keys=True, separators=(",", ":")).encode()).hexdigest() + for direction, program in aliases.items()}) + print("PASS all arbitrary cleanup inputs", tag, flush=True) + canonical = read(CORE / "converted/THREE-base-CANONICAL.json.gz") + programs = read(CORE / "converted/THREE-base-NATIVE-WORD.json.gz") + controls = [replay(programs[direction], canonical, R, direction == "backward", True, True) + for direction in ("forward", "backward")] + result = dict(schema="literal-native-dirty-buffers/1", status="PASS_NATIVE_ARBITRARY_DIRTY_BUFFER_REPLAY", + new_multiplication_kappa=False, physical_phase_generation_rerun=False, + phase_evidence="Pinned inherited exact native phase receipts; unchanged native edges.", + source_hashes=pins, verifier_sha256=digest(Path(__file__)), providers=providers, + negative_controls=controls, + lifetime_safe_local_full_frame_aliases_per_word=53, + remaining_external_bank_fields_per_word=38, + all_91_local_output_alias_claim=False, external_bank_placement_and_cost_closed=False) + args.output.parent.mkdir(parents=True, exist_ok=True) + args.output.write_text(json.dumps(result, indent=2) + "\n") + print(result["status"], flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/README.md b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/README.md new file mode 100644 index 0000000000..d0593a46e8 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/README.md @@ -0,0 +1,280 @@ +# Conditional kappa 0.00302666 from eight joint helper relations + +This construction gives **conditional kappa = 151333/50000000 = 0.00302666**. +It improves the one-relation [PR #5377](https://github.com/CrocSwap/integer-mult-bounds/pull/5377) +value by **431/100000000 = 0.00000431**. The gain over the selected final +[PR #4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610) +value is **24421/5000000000 = 0.0000048842**. + +Eight independent helper relations replace all eight backward rank-eight +centers with exact saved values. They also remove eight later rank-one jobs +on zero fields. Each backward call gives up eight rank-nine productive helper +targets. All 224 main inputs and the other 400 helper inputs stay independent. +The forward word and p16 controller stay unchanged. This changes the complete +paid profile and proves a strict moment gain. + +[WITNESS.json](WITNESS.json) lists the eight relations and source events. +[WORD.json.gz](WORD.json.gz) contains the complete literal program. +[RESULT.json](RESULT.json) gives the exact row identities and complete bill. +[SOURCES.json](SOURCES.json) pins every consumed input by Git blob and SHA256. +The package has no runtime dependency on the pending PR #5377 package. + +## Source and research boundary + +The branch starts at canonical main +[1ec1119972c9aefe42525172d07b332fcff81cb4](https://github.com/CrocSwap/integer-mult-bounds/commit/1ec1119972c9aefe42525172d07b332fcff81cb4). +This base selects the final PR4610 result with the independent +[PR #5241](https://github.com/CrocSwap/integer-mult-bounds/pull/5241) audit. +The [selected review](https://github.com/CrocSwap/integer-mult-bounds/blob/1ec1119972c9aefe42525172d07b332fcff81cb4/docs/research/pr-intake-evidence/pr4610/PROOF-REVIEW.md) +records its exact scope and five retained framework assumptions. + +The frozen native source is Cao Yifan's +[round-three word](https://github.com/intqwq/integer-mult-bounds/blob/20bb93cd990d2ff683e4d0fc56b87a42cd5d3296/research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz) +at final PR4610 commit `20bb93cd990d2ff683e4d0fc56b87a42cd5d3296`. +Its decompressed SHA256 is +`cfcd36b40326d7a5815e1db5313444379b3fb756b27d5201c561574c085cc0dd`. +The prior complete bill and crossing come from its +[round-six arithmetic](https://github.com/intqwq/integer-mult-bounds/blob/20bb93cd990d2ff683e4d0fc56b87a42cd5d3296/research/kappa-round6-compiler-tightening-20261022/ARITHMETIC.json). +All consumed source bytes occur in the recorded main base. + +The [canonical claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154290) +covers only the eight named centers and their joint relation system. +The separate [no-snapshot relation search](https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154267) +has released its scope and explicitly excludes joint relations and center reuse. +The original-input cache search in +[Discussion #5355](https://github.com/CrocSwap/integer-mult-bounds/discussions/5355) +is also released. The coded caller in +[Discussion #4930](https://github.com/CrocSwap/integer-mult-bounds/discussions/4930) +retains all original helper outputs. This package changes eight helper inputs +in backward calls. It does not take those other research scopes. + +## General relation construction + +Consider an exact linear register program with independent helper inputs in +one common input frame. Let r independent scalar relations have a reduced +basis with dyadic coefficients and r helper pivots. Make these r fields owned. +Clear them and prepare each pivot from the nonpivot inputs with scalar ADDs. +Each relation is then zero for every remaining independent input. The r owned +fields receive no productive output credit. + +Suppose that an earlier field and a later owned center output have the same +exact frame, and their logical row difference is zero under these relations. +Clear a new owned field, COPY the earlier value into it and retain it. At the +center, clear the old owned center and COPY the saved value into that same +output frame. Clear the snapshot after use. This implements the old output +exactly without the center job. If another paid job has an identically zero +input row, the physical identity also implements that job on the restricted +domain. A frame annotation may change only after this exact zero check. + +Each replacement preserves the source state on that domain. Induction through +the chronological word therefore preserves every retained output. Clear all +owned pivots at return. The complete cost must remove their productive +credits and count every new scalar operation and storage route. Independence +of the relations is necessary: counting eight apparent formulas is not a +proof of eight independent pivots or of eight distinct saved jobs. + +## Eight exact source identities + +Let h_r denote the unrestricted logical input of source helper Lr. Define: + +```text +D1 = h230 - h324 + h326 + h328 - h333 +D2 = h225 - h384 - h388 + h390 + h391 + h392 - h397 +D3 = h225 - h227 + h229 - 2h231 + h232 - h234 - h235 + - h236 - h237 + 2h238 + h239 - h384 - h388 + h390 + + h391 + h392 - h397 +D4 = h227 + h229 - h232 + h234 + h235 - h236 + h237 + - h239 - h324 + h326 + h328 - h333 +D5 = h241 - h243 + h245 - h247 - h252 - h253 + h254 + h255 +D6 = h225 - h241 + h243 + h245 - h247 - h252 + h253 + + h254 - h255 - h324 + h326 + h328 - h333 - h384 + - h388 + h390 + h391 + h392 - h397 +D7 = h257 - h259 + h261 - h263 - h268 - h269 + h270 + h271 +D8 = h288 - h294 - h296 - h297 + h300 + h303 +``` + +Every helper in these relations starts in frame 0 and ends in frame 1, of +rank nine. Exact row reduction gives the eight pivots +**225, 227, 229, 230, 241, 245, 257, 288**. The reduced basis has no other pivot +in any pivot row. Its nonzero coefficients are integers or half-integers. +The emitted preparation thus uses only independent inputs and dyadic ADDs; +it has no cyclic dependence and needs no recursive job. The full reduced +basis is recorded in the word and result. + +The following indices are zero-based indices in the frozen backward source. +A snapshot is taken immediately after its named event. The two last columns +are identities in the unrestricted source, before any relation is imposed. + +| Relation | Snapshot event and role | Frame | Center event | Later zero event and role | Center minus snapshot | Later row | +|---|---|---|---|---|---|---| +| D1 | 11205, L92 | 254 | 11332 | 15584, L92 | D1/4 | -D1/4 | +| D2 | 11218, L57 | 274 | 11358 | 17264, L57 | D2/4 | -D2/4 | +| D3 | 11231, L81 | 619 | 11384 | 17256, L81 | D3/4 | -D3/4 | +| D4 | 11244, L224 | 279 | 11410 | 17722, L224 | -D4/4 | D4/4 | +| D5 | 11257, L11 | 621 | 11436 | 15876, L11 | D5/4 | -D5/4 | +| D6 | 11270, L240 | 280 | 11462 | 17245, L240 | -D6/4 | D6/4 | +| D7 | 11283, L9 | 624 | 11488 | 15870, L9 | D7/4 | -D7/4 | +| D8 | 11306, L288 | 281 | 11514 | 17580, L288 | D8/4 | -D8/4 | + +The COPY coefficient is one in every case. All eight snapshots are live +before the first center replacement. They use distinct owned fields C1 through +C8. Each is read once and cleared after use. The source owned center C0 is +cleared before each replacement. Each later zero job changes from the listed +frame to frame 1 and has rank one. `zero_retag` is a physical no-op; the verifier +requires its complete row to be zero and checks both exact frame identifiers. + +A separate source interpreter checks all sixteen identities on the unrestricted +632 source inputs. The new interpreter then executes the emitted program on +all **624 independent persistent columns and 17 arbitrary owned entry columns**. +It checks every scalar frame, paid rank, native transition, retained endpoint, +final frame and owned return. No independent input is silently set to zero. + +The identities are over rational coefficients and reduced free operator words. +They hold for any invertible interpretation of the native generators. At +positive tensor width f, replace each generator with its source tensor power +and each inverse with the inverse tensor power. Keep each rational coefficient +outside this substitution. Evaluation is a representation of the free group, +so the identities still hold. In particular, no tensor power is distributed +over a sum. The retained +[free-word tensor audit](https://github.com/CrocSwap/integer-mult-bounds/blob/1ec1119972c9aefe42525172d07b332fcff81cb4/research/free-word-tensor-lift-audit/PROOF.md) +records this termwise argument and credits Cinna Davis and ToikY. + +All 4,429 source frames, 72 native maps, adapters and retained paid operators +are unchanged. The package authenticates and reuses the source +[absolute-phase evidence](https://github.com/intqwq/integer-mult-bounds/blob/20bb93cd990d2ff683e4d0fc56b87a42cd5d3296/research/kappa-round3-warp-20261022/PHASE-VALIDATION.json.gz). +Same-frame COPY and identity on zero add no phase recipe. This package does +not rerun the source Clifford lowering or amplitude checks. The new identities +hold for the full source operators, including their absolute phases. + +## Complete bill and compiler + +Each backward call has the following complete local profiles: + +```text +paid: {1:2193, 2:412, 3:510, 4:127, 5:40} +helpers: {4:28, 7:7, 8:47, 9:318} +``` + +The controller has 16 backward calls, two unchanged forward calls and 15 thin +queries. Every idle and main target remains paid or credited as in the source. +Compared with PR4610, the complete difference is **minus 128 H1 and 128 H8 paid +jobs, with minus 128 H9 productive targets**. Compared with PR5377 it removes +224 further paid jobs and 112 further productive fields. The complete bill has +**64,148 paid jobs and 10,800 productive fields**. The respective rank masses +are 237,982 and 238,734, with unchanged surplus 752. + +For every real `0 < t < 1`, the complete target-minus-paid moment increases by + +```math +128(1+8^t-9^t)>0. +``` + +Both `(1/9)^t > 1/9` and `(8/9)^t > 8/9`; summing and multiplying by `9^t` +proves the strict inequality. This comparison charges the lost helper jobs. + +The backward scalar allowance is **158,744**, which is 576 above the source. +Its maximum formal prefix L1 norm is **163**, below the source value 169, and +its maximum denominator stays 64. The forward values remain 158,120, 457 and +32. Eight new physical slots hold C1 through C8; the eight private helpers use +existing slots. The local route allowance charges both routes for each of +these sixteen new owned lifetimes. It is **4,834,000**. The local scalar-plus-route +bill stays below 10^7. The complete raw nonrecursive bound remains +**181,098,496 < 10^9**. These bounds include preparation, storage, COPY and CLEAR. +The retained precision and tape prescriptions must use this expanded fixed +template, not a former numerical template-size cap. + +Two rational interval engines verify the complete moment. Its unique crossing +in `0 < kappa < 1` lies in **(0.00302667476807, 0.00302667476808)**. Exact interval +bounds prove decrease on `[0,0.05]` and negativity on `[0.05,1]`. This is a ceiling +for this fixed complete profile. It does not optimize all relation systems. +The claimed kappa leaves more than **0.00000001476807** raw headroom. + +The tested saving is **0.00302667**. The paid/target ratio is below +`0.999999995016963387587258118167`, with reserve `1e-9`. The two charged tail +ratios are below 0.957 and 0.952, respectively, hence below 0.97. Tensor power +1024, cutoff 20, floor 21, tail offset 1/5, complement factor 63/64 and logarithm +power 1000 all pass. The finite compiler uses gap `1/700000000`, `j=44836`, +`H=31385200000000` and `N=2^31385200000000`. The exact test +`(H+1)^1000 < 2^44836` passes; the preceding grid integer fails. The uniform +complex saving is `529667/175000000`. All **54 strict outer predicates and +four functional predicates** pass with the retained ordinary BIT saving 0.0034. + +## Verification and limitations + +Use CPython 3.12 or 3.14 and the standard library. From the repository root: + +```sh +python3 -B scripts/research_package.py --package research/kappa-joint-relations-20261023 --check-only +python3 -B scripts/research_package.py --package research/kappa-joint-relations-20261023 +``` + +The registered verifier runs normal and optimized modes. The direct commands +also work in the official Git-free export: + +```sh +python3 -B research/kappa-joint-relations-20261023/verify.py +python3 -O -B research/kappa-joint-relations-20261023/verify.py +``` + +Both print `PASS_CONDITIONAL_KAPPA_00302666_EIGHT_JOINT_RELATIONS`. +The verifier reconstructs and compares the literal published word and result. +`--write` is an authoring mode that writes only this package after all checks +pass. Regeneration compares decompressed payloads, not gzip container bytes. + +Fresh checks cover both original and changed words, all retained and owned +entry columns, sixteen unrestricted source identities, exact relation rank, +phase source bindings, the p16 Laurent controller and both boundary programs, +two complete invoice counts, two interval engines, the fixed profile ceiling, +completion, compiler and every outer predicate. Seven native controls reject +a wrong preparation sign, omitted input clear, wrong snapshot, wrong zero +frame, wrong paid rank, wrong COPY gauge and omitted output clear. Five +cost controls reject unearned helper credit and four invalid outer parameters. + +Normal and optimized registered checks passed on CPython 3.12.14. The direct +author replay also passed on CPython 3.14. Metadata and source pins passed. +The publication handoff records committed-byte and Git-free export checks. +The optional full-history preflight is not claimed in this shallow checkout. + +These are author checks. The source phase lowering, BIT native construction, +physical tape execution, numerical precision execution, analytic decomposition, +fine-prime avoidance and exact integer recovery are inherited. They are not +rerun here. No expanded compiled word, Lean proof, Docker run or independent +human acceptance is claimed. The complete result retains the selected five +framework assumptions: all-column native realization, owned erasure, uniform +compiler closure, precision/tape and analytic recovery. No selected record is +changed. This is a conditional mathematical improvement, not a timing result. + +## Credit + +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +The new code and proof generalize our +[frozen one-relation package](https://github.com/aliromman/integer-mult-bounds/blob/c448d13c71908647f968b06cddb795ce7d288139/research/kappa-owned-relation-20261023/README.md) +from PR5377. That package supplies D1, its COPY/zero argument and the original +complete-cost verifier. The new work is the joint rank-eight system, seven +further centers, eight simultaneous snapshots and the new complete bound. + +Cao Yifan's [PR #4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610) +supplies the exact word, phase evidence and compiler lineage. Chris R's +[PR #5241](https://github.com/CrocSwap/integer-mult-bounds/pull/5241) supplies the +independent admission evidence now used by main; that audit does not cover +this changed helper inventory. Cinna Davis's +[PR #4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470) supplies the +controller and productive-helper lineage. zxv's +[PR #5283](https://github.com/CrocSwap/integer-mult-bounds/pull/5283) supplies the +related cache contract and handoff to actual row/lifetime matches. + +The retained [pricing source](https://github.com/CrocSwap/integer-mult-bounds/blob/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-interface-round2-20261022/price_profile.py) +and [native source](https://github.com/CrocSwap/integer-mult-bounds/blob/1ec1119972c9aefe42525172d07b332fcff81cb4/research/kappa-rebuild/complex/native_extensions.py) +credit Dugongue's transported frames, zxv's native/compiler work, Jacob Alan +Sussman's mixed-target recursion and the earlier contributors. Their notices +and the original source bytes remain unchanged. + +## Open next questions + +An independent reviewer should check the eight pivot preparations and sixteen +unrestricted identities, then the COPY/zero realization and complete bill. +Independent physical and all-size acceptance remains necessary. A further +construction must change another paid job or relation system: all eight +backward centers are already removed here. Check live claims and price every +lost target before that search. [TASK.json](TASK.json) records both questions, +first checks and blockers. No optimum over helper relations is claimed. diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/RESULT.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/RESULT.json new file mode 100644 index 0000000000..b6c9cd0da1 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/RESULT.json @@ -0,0 +1,961 @@ +{ + "arithmetic": { + "PR5377_raw_root_upper": "75559684087/25000000000000", + "compiler": { + "H": 31385200000000, + "N": "2^31385200000000", + "eta": { + "lower": "0.000000199495867924466542600392", + "upper": "0.000000199495867924466542600393" + }, + "gap": "1/700000000", + "integer_test_exponent": 44836, + "logarithm_power": 1000, + "theta": "63/64", + "uniform_saving": "529667/175000000", + "word_materialized": false 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"starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/heterogeneous-owner-assembly/README.md", + "certificates/selected-result.json", + "research/selected-k8-unrestricted-ends/README.md" + ], + "methods": [ + "Propose a changed helper inventory and derive an optimistic exact moment.", + "Design a small completed instance and independently verify its endpoint and rank bill." + ], + "acceptance_gate": "A new physically realizable contract outside the frozen catalogue whose per-call profile, screened with ceiling.ceiling(), beats the selected word's packing ceiling; a lower cap does not establish identical circuitry or order attainable optima, and is insufficient to pass the stronger-budget target under this model. 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin.", + "bottleneck_link": "Packing of the selected word is capped at +0.87% (ceiling model); only a lower local excess spend or a changed coverage law raises the cap.", + "allowed_variations": [ + "Narrow to one changed boundary or helper type with explicit counts.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Mixing only providers already inside the pinned catalogue.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "helper inventory", + "heterogeneous-owner", + "mutable leaver" + ] + }, + "scope_status": "refined", + "actual_scope": "Prepare eight independent cold-helper relations, replace all eight backward centers with exact snapshots, remove eight later zero jobs, and debit eight rank-nine helper targets per backward call.", + "scope_change_reason": "This uses the current helper-inventory priority. It changes the independent input inventory and scalar word; all physical native maps and the p16 controller remain fixed.", + "bottleneck_link": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154290", + "budget_minutes": 240, + "stop_rule": "Publish one exact complete-profile kappa improvement after native, ownership, phase-inheritance, compiler and cold-export checks.", + "outcome": "completed", + "evidence": "WITNESS.json, WORD.json.gz, RESULT.json and the full exact verifier. Conditional kappa 0.00302666.", + "author": "Ali Romman", + "ai_assistance": "Substantial OpenAI Codex assistance in discovery, code, proof, verification and publication.", + "open_questions": [ + { + "question": "Can an independent reviewer validate the joint relation system and all inherited physical transfer premises?", + "why_it_matters": "The finite exact construction still uses the five selected framework assumptions.", + "first_step": "Check the sixteen unrestricted row identities, eight pivots and complete cost in README.md and RESULT.json.", + "blocked_by": "Independent review has not yet occurred." + }, + { + "question": "Can a different relation system improve the complete bill beyond this fixed profile?", + "why_it_matters": "The new profile ceiling is not an optimum over helper relations.", + "first_step": "Check live claims, then charge each lost target and prove an additional removed job.", + "blocked_by": "All eight backward center jobs are already removed in this construction." + } + ], + "coordination": { + "claim": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154290", + "distinct_scopes": [ + "https://github.com/CrocSwap/integer-mult-bounds/discussions/5355", + "https://github.com/CrocSwap/integer-mult-bounds/discussions/4930" + ], + "boundary": "This extends our frozen PR5377 relation to a joint rank-eight system. The original-input cache scope is released. The coded caller retains all original helpers; this package changes eight helper inputs per backward call. No shared controller or selected file changes." + } +} diff --git a/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/VERIFY.json b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/VERIFY.json new file mode 100644 index 0000000000..8098df4c80 --- /dev/null +++ b/research/frozen5383-scoped-ceilings/evidence/campaign/09-capsule-cold/capsule-v1/snapshot/research/kappa-joint-relations-20261023/VERIFY.json @@ -0,0 +1,38 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/higher-moment-strictification/verify.py", + "research/joint-helper-lattice/CONTROLLER.json", + "research/kappa-causal-continuation/buffer-borrowing/verify_buffers.py", + "research/kappa-rebuild/architecture/mixed_target_probe.py", + "research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz", + 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