From e80c08f395ebc6e8ee295499da120d1e1e125589 Mon Sep 17 00:00:00 2001 From: Ryan Haines <1855752+Ryan-Haines@users.noreply.github.com> Date: Tue, 13 Oct 2026 02:10:01 -0400 Subject: [PATCH 1/3] Research: reuse JP8 coefficient work across odd numerators --- .../CERTIFICATE.json | 28553 ++++++++++++++++ .../jp8-additive-coefficient-routes/CLAIM.md | 38 + .../EXPECTED.json | 74 + .../INDEPENDENT.json | 27 + .../NATIVE.json | 71 + .../jp8-additive-coefficient-routes/PROOF.md | 114 + .../jp8-additive-coefficient-routes/README.md | 159 + .../SOURCES.json | 16 + .../VALIDATION.md | 45 + .../construct.py | 180 + .../independent.py | 248 + .../native_replay.py | 43 + .../test_verify.py | 84 + .../jp8-additive-coefficient-routes/verify.py | 336 + 14 files changed, 29988 insertions(+) create mode 100644 research/jp8-additive-coefficient-routes/CERTIFICATE.json create mode 100644 research/jp8-additive-coefficient-routes/CLAIM.md create mode 100644 research/jp8-additive-coefficient-routes/EXPECTED.json create mode 100644 research/jp8-additive-coefficient-routes/INDEPENDENT.json create mode 100644 research/jp8-additive-coefficient-routes/NATIVE.json create mode 100644 research/jp8-additive-coefficient-routes/PROOF.md create mode 100644 research/jp8-additive-coefficient-routes/README.md create mode 100644 research/jp8-additive-coefficient-routes/SOURCES.json create mode 100644 research/jp8-additive-coefficient-routes/VALIDATION.md create mode 100644 research/jp8-additive-coefficient-routes/construct.py create mode 100644 research/jp8-additive-coefficient-routes/independent.py create mode 100644 research/jp8-additive-coefficient-routes/native_replay.py create mode 100644 research/jp8-additive-coefficient-routes/test_verify.py create mode 100644 research/jp8-additive-coefficient-routes/verify.py diff --git a/research/jp8-additive-coefficient-routes/CERTIFICATE.json b/research/jp8-additive-coefficient-routes/CERTIFICATE.json new file 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a/research/jp8-additive-coefficient-routes/CLAIM.md b/research/jp8-additive-coefficient-routes/CLAIM.md new file mode 100644 index 0000000000..1d96994e46 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/CLAIM.md @@ -0,0 +1,38 @@ +# Local sprint claim + +- Track: complex supplier; fresh OS-random assignment seed **31**, generated + with Python `secrets.randbelow(100)` on 2026-10-13. +- Exact base: `66849e1475c930fd7732b1a0067ffee7e1e95f60`. +- Object: consecutive same-source additions in the selected #626 JP8 + `full_frame_cleanup`, keeping the existing operation order and frame 1. +- Hypothesis: between different odd numerators, a positive unit source read + bracketed by dyadic shifts can cost less than clearing and rebuilding the + existing private coefficient stream. +- Method: enumerate routes `w *= 2^u; w += x; w *= 2^v`, + `-16 <= u,v <= 16`, alongside existing power-of-two reuse; charge every + source read, shift, accumulation and boundary clear. Admit only routes + within the original positive prefix envelope and strictly cheaper than + reset. Stop after this finite route class and the exact replay. +- Deliverable: executable finite construction, exact full scalar-projection + replay, source pins, cost certificate, negative controls and scoped note. +- Expected finish: 2026-10-13 06:40 UTC; hard handoff before 06:54 UTC. + +Three narrow candidates were considered: (0) CK cleanup additive transitions, +(1) JP8 cleanup additive transitions, and (2) private-center quarter-coefficient +factoring. Seed `31 % 3 = 1` selected JP8; #786 already covers candidate 2 +and reports a larger conservative local invoice. The additive transition +class differs from #739's power-of-two-only reuse and its explicitly excluded +odd-numerator transitions. #769 covers CK power-of-two ladders; #793 instead +permutes commuting frame-zero compensation. #722, #734, #751, #755 and #787 +cover equal-magnitude reuse, individual signed Horner circuits, target fan-in, +other phases, or composition. None of their implementations is imported. + +Before claiming, read the selected record, construction/review, contribution +instructions, review ledger and preserved-research index. Checked open PR +metadata through #799 at 05:53 UTC. GitHub returned no pinned coordination +issue; the only open issue was #650 about Discussions. This file records the +claim under the requested fallback. No separate reservation issue is opened. + +Contributor: Ryan Haines (@Ryan-Haines), with substantial OpenAI Codex +assistance. New material is Apache-2.0. Result and handoff will be recorded +once after verification. diff --git a/research/jp8-additive-coefficient-routes/EXPECTED.json b/research/jp8-additive-coefficient-routes/EXPECTED.json new file mode 100644 index 0000000000..1740d9a605 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/EXPECTED.json @@ -0,0 +1,74 @@ +{ + "schema": "jp8-positive-one-read-replay/1", + "base_commit": "66849e1475c930fd7732b1a0067ffee7e1e95f60", + "negative_controls": [ + "missing_initial_clear", + "missing_final_clear", + "wrong_target_sign", + "wrong_transition_source", + "endpoint_neutral_prefix_excursion", + "source_alias", + "changed_source", + "frame_crossing", + "phase_crossing", + "wrong_shift_equation", + "prefix_route_exclusion", + "planner_phase_boundary" + ], + "orientations": { + "forward": { + "columns": 725, + "live_columns": 716, + "arbitrary_private_columns": 9, + "real_primitives": 224422, + "prefix_l1": "4536094588619580433782972610869617/281474976710656", + "paid_profile": { + "1": 2512, + "2": 400, + "3": 448, + "4": 160, + "5": 70, + "6": 8, + "8": 8 + }, + "non_scalar_events_sha256": "1fcf711555d365968ff8b64172090960cf98559865bd858c521c2adc7b12f792", + "original_real_primitives": 257232, + "power_only_real_primitives": 227206, + "additional_real_saved": 2784, + "one_read_transitions": 269, + "blocks": 1091 + }, + "backward": { + "columns": 725, + "live_columns": 716, + "arbitrary_private_columns": 9, + "real_primitives": 257280, + "prefix_l1": "16753412757380464429924108070201913461/8388608", + "paid_profile": { + "1": 2512, + "2": 400, + "3": 448, + "4": 160, + "5": 70, + "6": 8, + "8": 8 + }, + "non_scalar_events_sha256": "299442a1d68206eb7f49f0c9789cc8fa410a0615cff9c1900c54b064e901aa21", + "original_real_primitives": 257280, + "power_only_real_primitives": 257280, + "additional_real_saved": 0, + "one_read_transitions": 0, + "blocks": 0 + } + }, + "certificate_sha256": "973c3a108d6c3d4c78455c2fed95baf0440bc99a39dfb515976d9e2f41ef928c", + "unintegrated_budget": { + "unchanged_local_adapters": 437040, + "unchanged_compiler_charge": 25934336, + "max_orientation_primitives": 257280, + "binding_orientation": "backward", + "original_local_primitive_bound": 11334342462720, + "optimistic_local_primitive_bound": 11334342462720, + "new_kappa_claimed": false + } +} diff --git a/research/jp8-additive-coefficient-routes/INDEPENDENT.json b/research/jp8-additive-coefficient-routes/INDEPENDENT.json new file mode 100644 index 0000000000..b4341c263d --- /dev/null +++ b/research/jp8-additive-coefficient-routes/INDEPENDENT.json @@ -0,0 +1,27 @@ +{ + "method": "integer-grid exhaustive square plus dirty-input block matrices", + "certificate_sha256": "973c3a108d6c3d4c78455c2fed95baf0440bc99a39dfb515976d9e2f41ef928c", + "orientations": { + "forward": { + "distinct_pairs": 780, + "exponent_pairs_checked": 849420, + "blocks": 1091, + "block_input_columns": 6776, + "real_primitives_saved": 32810, + "negative_controls": [ + "initial_clear", + "final_clear", + "target_sign", + "endpoint_neutral_growth" + ] + }, + "backward": { + "distinct_pairs": 0, + "exponent_pairs_checked": 0, + "blocks": 0, + "block_input_columns": 0, + "real_primitives_saved": 0, + "negative_controls": [] + } + } +} diff --git a/research/jp8-additive-coefficient-routes/NATIVE.json b/research/jp8-additive-coefficient-routes/NATIVE.json new file mode 100644 index 0000000000..12d61cb9c7 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/NATIVE.json @@ -0,0 +1,71 @@ +{ + "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY", + "v": 112, + "helpers": 492, + "local": { + "forward": { + "all_exact_columns": 716, + "prefix_l1_upper": "4536094588619580433782972610869617/281474976710656", + "prefix_bits_upper": 64, + "charged_payload_bits": 192, + "private_work_erased": true + }, + "backward": { + "all_exact_columns": 716, + "prefix_l1_upper": "16753412757380464429924108070201913461/8388608", + "prefix_bits_upper": 101, + "charged_payload_bits": 192, + "private_work_erased": true + } + }, + "paid_profiles": { + "forward": { + "1": 2512, + "4": 160, + "8": 8, + "3": 448, + "2": 400, + "5": 70, + "6": 8 + }, + "backward": { + "1": 2512, + "4": 160, + "8": 8, + "3": 448, + "2": 400, + "5": 70, + "6": 8 + } + }, + "entering_helpers": 204, + "cold_hyperplane_ended_helpers": 22, + "negative_controls_rejected": [ + "wrong_scale", + "missing_center", + "wrong_common_frame", + "wrong_child_rank", + "missing_pre_wrapper", + "missing_post_wrapper", + "wrapper_with_wrong_frame", + "wrapper_in_wrong_phase", + "wrapper_on_a_data_register", + "wrapper_on_a_target_register", + "wrapper_on_a_centre_register", + "hpe_pre_wrapper_resolved_to_full_recipe", + "hpe_post_wrapper_without_terminal_frame", + "hpe_post_wrapper_wrong_terminal_frame", + "hpe_tail_gate_at_full_frame", + "hpe_tail_climb_dropped", + "hpe_helper_exit_adapter_to_full", + "hpe_tail_gate_moved_into_full_cleanup", + "cold_hpe_pre_wrapper_replaced_by_identity_entry_adapter", + "cold_hpe_pre_wrapper_dropped", + "cold_hpe_post_wrapper_replaced_by_exit_adapter", + "cold_hpe_pre_wrapper_resolved_to_cold_full_convention", + "cold_hpe_wrapper_with_nonzero_entrance", + "cold_hpe_post_wrapper_wrong_terminal_frame", + "cold_hpe_premix_gate_before_pre_wrapper" + ], + "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate." +} diff --git a/research/jp8-additive-coefficient-routes/PROOF.md b/research/jp8-additive-coefficient-routes/PROOF.md new file mode 100644 index 0000000000..91c4c636ea --- /dev/null +++ b/research/jp8-additive-coefficient-routes/PROOF.md @@ -0,0 +1,114 @@ +# Fixed-order positive one-read substitution + +## Local identity and legality + +Consider a consecutive block of scalar additions `t_j += q_j x`. All +registers are at the same full frame; `x` is never a target. The block +contains no scale, frame change, child, adapter, wrapper or center event. +Each target retains its original position and signed coefficient. The +existing private coefficient stream `w` is cleared initially and finally. + +Write `a_j = abs(q_j)`. Binary Horner preparation constructs `w = a_0 x` +after erasing an arbitrary incoming `w`. At every target update, the stream +holds `a_j x`, so adding/subtracting it realizes the required signed update. +The permitted transitions are either `w *= 2^k`, when `a_j/a_(j-1)=2^k`, or + +```text +w *= 2^u +w += x +w *= 2^v +``` + +with `(a_(j-1)*2^u + 1)*2^v = a_j`. This identity is over exact complex +values, component by component; no division of the live source is needed. +All halvings are inherited exact dyadic scalar primitives. Induction over +the target updates proves the same live-register map for arbitrary dirty +inputs, with no incoming private-work dependence and zero outgoing work. +There is no new helper or recursive child. Existing source access is paid +once for each `w += x`. + +For example, a real source coefficient changes from `1/2` to `3/2` with +the single operation `w += x`. Clearing and rebuilding the latter costs six +real-component primitives before its target update. The transition saves +five in that component, or ten across real and imaginary components. + +## Complete cost in this class + +For a positive reduced dyadic `a = A / 2^d`, the selected binary-Horner +preparation costs + +```text +P(a) = 1 + (bit_length(A)-1) + popcount(A) + d +``` + +including its initial clear. A standalone addition costs `P(a)+2`, adding +one target accumulation and one final clear. A block of `m` additions costs + +```text +P(a_0) + m + sum(transition_cost_j) + 1. +``` + +A pure shift costs `abs(k)`. A one-read transition costs +`abs(u)+1+abs(v)`. The alternative cut between consecutive additions costs +`1+P(a_j)` (previous final clear plus next preparation). A transition is +selected only if strictly cheaper than that cut. Since its endpoint +coefficient is fixed, the saving for each admissible adjacent edge is +independent of all other edges. Taking each strict minimum and splitting +at all other edges therefore minimizes cost in the specified fixed-order +class. Ties prefer reset, then pure shifts, then lexicographically ordered +`(cost,u,v)`. This claim includes the fixed binary-Horner preparation and +does not assert unrestricted circuit optimality. + +The constructor enumerates 33 values of `u`; the equation uniquely +determines `v`, if it is an integer. The independent implementation +enumerates all 1,089 pairs directly using exact integers. Thus the omitted +`v` loop in the constructor does not reduce the claimed finite coverage. +All 780 distinct magnitude pairs and all 4,298 occurrences are accounted +for, including unprofitable/infeasible cases. All 269 selected one-read +transitions have unequal odd numerators. + +The full-program recount pays unchanged macro lowering outside the blocks. +It counts all target updates, boundary clears and work preparation inside +them. Non-scalar events are unchanged and their hashes and paid recursive +profiles are recorded. The finite forward count is 224,422; the backward +count remains 257,280. With the existing adapter/compiler allowances the +orientation maximum, and hence the conservative local invoice, is unchanged. + +## Prefix envelope + +Let `N_x` be the positive L1 envelope of the fixed live source. The work +stream has envelope exactly `a N_x`: preparation, shifts and the new source +read use positive coefficients. They introduce no cancellation in the +envelope. In the one-read route its maximum coefficient is + +```text +max(a, a*2^u + 1, b). +``` + +The pre-read value `a*2^u` is smaller than the middle value and the shifts +are monotone between endpoints. Require this maximum to be at most +`max(a, numerator(b))`. The old execution has already reached `a N_x` +and its binary-Horner preparation for `b` reaches +`numerator(b) N_x`. The replacement therefore never exceeds the old +prefix envelope. Pure shifts are monotone between `a` and `b` and satisfy +the same comparison. Original target updates and all their positive +envelopes are unchanged. This argument allows unequal incoming target and +source envelopes and composes across every block. + +The literal full-program replay independently measures the exact positive +envelope. It agrees with both selected SPEC values, not merely the 192-bit +cap. The integer implementation checks each block's dirty-input matrix and +local envelope with a common scale of `2^(D+32)`, where `D` is the maximum +input-coefficient denominator exponent. Two shifts of at most 16 cannot +exhaust that grid; divisibility is checked before every right shift. + +## Scope of evidence + +The algebraic block argument explains substitution in the inherited scalar +model. Exhaustive enumeration certifies only the stated finite route class. +The all-column literal replay checks finite endpoints, clearing, accounting +and positive envelopes. The unchanged native replay checks the original +macro frame/wrapper obligations. These checks do not independently prove +the all-size multiplication theorem or integrate a new production private- +work contract. In particular, no exponent improvement follows from the +unchanged maximum local invoice. diff --git a/research/jp8-additive-coefficient-routes/README.md b/research/jp8-additive-coefficient-routes/README.md new file mode 100644 index 0000000000..30a6dc6288 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/README.md @@ -0,0 +1,159 @@ +# JP8 cleanup: one positive source read between dyadic shifts + +**Finite circuit construction: 2,784 additional real-component primitives +saved beyond power-of-two coefficient reuse; no new kappa.** + +In the selected #626 JP8 forward cleanup, 269 transitions can retain the +existing private coefficient stream even when consecutive magnitudes have +different odd numerators. A paid source read changes the numerator, with +dyadic shifts before and after it. Target order, live-register boundaries, +frames, helpers and recursive calls remain unchanged. + +| Complete scalar projection | Selected #626 | Power-only reuse (#739 class) | This construction | +|---|---:|---:|---:| +| Forward | 257,232 | 227,206 | **224,422** | +| Backward / inverse-transpose | 257,280 | 257,280 | 257,280 | + +These are finite operation counts, not timing measurements. The total +forward saving is 32,810; the new contribution beyond the independently +reconstructed #739 comparator is 2,784. All 269 new transitions change odd +numerator. This construction has 1,091 shared-work blocks. It retains the +original binary-Horner lowering outside those blocks and excludes unit +coefficient macros from the search. + +The backward orientation still determines the maximum primitive count. +Even optimistically substituting the new counts into the existing invoice +while retaining all 437,040 adapter allowances and the 25,934,336 compiler +charge leaves the local bound **11,334,342,462,720** unchanged. This is a +useful forward-circuit improvement, not an admitted supplier-bound or +exponent improvement. The selected conditional kappa remains +**0.001635527380375392**. + +## Reproduce + +From the repository root, using Python 3.11+ and its standard library: + +```sh +python3 -I -B research/jp8-additive-coefficient-routes/verify.py +``` + +Expected final line: + +```text +PASS_JP8_ADDITIVE_ROUTES extra_saved=2784 total_saved=32810 columns=725 orientations=2 controls=12 +``` + +This checks pinned inputs and selected SPEC bindings, regenerates the finite +route certificate in memory, and literally executes every scalar primitive +in both complete programs. It checks all **716 native and nine arbitrary +private input columns**, both shear endpoints, dirty-helper restoration, +private clearing, costs and paid recursive profiles. The complete positive +prefix bounds remain exactly the selected **64-bit forward / 101-bit +backward** values, below the inherited 192-bit allowance. Twelve controls +include source/target aliasing, wrong signs, omitted clears, a wrong source, +phase/frame crossing and an endpoint-neutral prefix excursion. + +The independent checker imports neither the constructor nor the verifier +and uses integer arithmetic on an explicitly sufficient dyadic grid: + +```sh +python3 -I -B research/jp8-additive-coefficient-routes/independent.py +``` + +It prints `PASS_INDEPENDENT_ADDITIVE_ROUTES pairs=780 exponent_pairs=849420 +saved=32810 controls=4`. It exhausts the full exponent square for all 780 +distinct adjacent magnitude pairs, confirms the occurrence census, and +checks every replacement block on its arbitrary source, target and work +columns: **6,776 block input columns** total. Four additional mutation +controls test endpoint, dirty-work clearing and prefix detection. + +The unchanged native frame/wrapper auditor can be run in a new directory: + +```sh +python3 -I -B research/jp8-additive-coefficient-routes/native_replay.py --output /tmp/jp8-additive-native +``` + +It prints `PASS_UNCHANGED_NATIVE_JP8_REPLAY columns=716 controls=25`. +This rechecks the original macro word's frame and wrapper obligations; the +new primitive substitution is checked by the first two commands. The +semantic receipt comparison ignores regenerated gzip-container hashes. + +`verify.py --write NEW_DIRECTORY` explicitly regenerates the two main +artifacts without replacing existing files. Ordinary verification writes +nothing. `independent.py --write NEW_FILE` generates its separate receipt. + +## Experiment and certificate + +OS-random assignment seed **31** chose the complex track; `31 % 3 = 1` +selected JP8 from the three alternatives in [CLAIM.md](CLAIM.md). +There is no randomized mathematical search. The complete finite domain is +all consecutive, same-source, nonunit additions at frame 1 in the existing +`full_frame_cleanup`, with no reordering. There are **4,298 adjacent pairs**, +including **1,015 transitions between different odd numerators**. Backward +cleanup has no eligible adjacent pair under this same-source restriction. + +For magnitudes `a` then `b`, enumerate + +```text +w *= 2^u; w += x; w *= 2^v, -16 <= u,v <= 16 +``` + +and require `(a*2^u + 1)*2^v = b`. Every primitive shift, source read, +target accumulation and boundary clear is charged. The complete positive +envelope restriction and cost argument are in [PROOF.md](PROOF.md). +Power-only routes and reset remain available. Ties retain the simpler +route/reset and do not extend a lifetime without a strict saving. + +The stopping rule was completion of this domain and its exact replay. +[CERTIFICATE.json](CERTIFICATE.json) records every distinct pair, every +admissible one-read route, every selected block and its literal primitive +hash. [EXPECTED.json](EXPECTED.json) records the full-program result; +[INDEPENDENT.json](INDEPENDENT.json) records the separate exhaustive check. +This does not optimize arbitrary arithmetic circuits, signed transitions, +multiple source reads, unit macros, source permutations or other phases. +Excluded or unprofitable pairs are not impossibility results for those +larger classes. + +## Provenance and remaining obligations + +Exact base: `66849e1475c930fd7732b1a0067ffee7e1e95f60`. +[SOURCES.json](SOURCES.json) pins all consumed inputs by decompressed payload +hash and identifies source commits. The selected source #626 is +`660de893d27bb7abd1d5b01b1640207528a5c851`; its K-triangle construction #622 is +`f69477f4f6d3c7eb1f740b166881bffed4ffa9f6`. Jeremy Kothe supplied #622/#623; +Chafik Boukhalfa supplied #626's owner allocation. The attributed local +emitter/auditor retains the preceding PR514/PR433 and cold-helper lineage; +the selected review credits DreamingOfClouds, Rohan Arun and eumemic's +retained #543 bit supplier. + +Jeffrey Cox (@namredips), +[#739](https://github.com/CrocSwap/integer-mult-bounds/pull/739), established +power-of-two reuse and explicitly counted the incompatible odd-numerator +transitions. Its reviewed comparison head is +`abb9825202dba6f9bc95c7df8d12d86088fdff1a`. @ellipsi2's +[#722](https://github.com/CrocSwap/integer-mult-bounds/pull/722) supplied the +equal-magnitude predecessor. This package independently reconstructs that +power-only class and extends it with a positive source read; no pending code +is imported. + +[#793](https://github.com/CrocSwap/integer-mult-bounds/pull/793), by +Varun Mittal, instead permutes commuting frame-zero compensation and uses +a quarter-grid route. [#769](https://github.com/CrocSwap/integer-mult-bounds/pull/769) +studies CK power-of-two ladders. #734/#723 optimize individual coefficients; +#751 changes backward fan-in; #755 expands equal-magnitude reuse to other +phases; #787 composes other lowerings. The reported savings are not asserted +additive with those constructions. See the final overlap check in the claim. + +Clearing the coefficient stream moves from each macro to each shared-work +block. Production lowering-contract integration, revised per-call invoices, +global admission and the inherited all-size/compiler, common-label/mutable- +basis, whole-call hosting, precision/tape/recovery and analytic obligations +remain separate. The original program, selected certificate and `upstream/` +are unchanged. Finite exact replays are not a formal proof of the full +integer-multiplication theorem. + +Contributor: **Ryan Haines (@Ryan-Haines)**, with substantial **OpenAI Codex** +assistance in research, implementation, checking and writing. New material +is under the repository's Apache-2.0 license. No predecessor's code is +relicensed or replaced. Completed environment/check details are in +[VALIDATION.md](VALIDATION.md). diff --git a/research/jp8-additive-coefficient-routes/SOURCES.json b/research/jp8-additive-coefficient-routes/SOURCES.json new file mode 100644 index 0000000000..bc1e705f8c --- /dev/null +++ b/research/jp8-additive-coefficient-routes/SOURCES.json @@ -0,0 +1,16 @@ +{ + "base_commit": "66849e1475c930fd7732b1a0067ffee7e1e95f60", + "selected_pr626": "660de893d27bb7abd1d5b01b1640207528a5c851", + "construction_pr622": "f69477f4f6d3c7eb1f740b166881bffed4ffa9f6", + "power_only_comparator_pr739": "abb9825202dba6f9bc95c7df8d12d86088fdff1a", + "compensation_comparison_pr793": "f9383f324ee86793c5ae7b73f8e39d5827a8aa52", + "payload_sha256": { + "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/CANONICAL-WORD.json.gz": "fb4a8d14ed2a8048698bea6ae16f86163a1aa6c80f2eb622222eee5cdbce9b3b", + "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/LOCAL-PROGRAMS.json.gz": "efe45ce7fb025a6f53cc9eb54e951ac2211a5ed927e689a049e4f68ca680654b", + "research/complex-k492-owner-repair/data/SPEC.json": "2a2577ac526535826fed9d5f7f83f6e2e0ec058a146c64f7286720b995fa2323", + "research/complex-k492-owner-repair/code/hpe_emit_local.py": "7e4a6fbc38c8228157b6311457d1496bf460291393043932d2c365f004f77805", + "certificates/selected-result.json": "b3bf402f31a69bde0629936a9b569bed48281568d7b16d5fba120b5311ea1f53", + "research/complex-k492-owner-repair/code/hpe_audit_local.py": "6bd9a1e279c9c9e4f3767d9f82e537b559292906feb2ddab02f380fb6523a810", + "research/complex-k492-owner-repair/code/assemble.py": "1b1a9024ac910dc9b9d9e30150684e1fa9cb228a4c1c275b75ab04b57fdef1dd" + } +} diff --git a/research/jp8-additive-coefficient-routes/VALIDATION.md b/research/jp8-additive-coefficient-routes/VALIDATION.md new file mode 100644 index 0000000000..3b0a84f440 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/VALIDATION.md @@ -0,0 +1,45 @@ +# Completed validation + +Base: `66849e1475c930fd7732b1a0067ffee7e1e95f60`. +Completed 2026-10-13, Windows Python 3.14.0 and Ubuntu 24.04 / Python 3.12.3 +under WSL. Both use only the standard library for mathematical replay. + +The following commands passed on both environments: + +```sh +python3 -I -B research/jp8-additive-coefficient-routes/verify.py +python3 -I -B research/jp8-additive-coefficient-routes/independent.py +python3 -I -B research/jp8-additive-coefficient-routes/native_replay.py --output NEW_SCRATCH_DIRECTORY +python3 -I -B research/jp8-additive-coefficient-routes/test_verify.py +``` + +- Complete literal forward/backward primitive replay: 725 arbitrary columns + each, including all 492 dirty helpers and nine private inputs; costs + 224,422 / 257,280; original positive prefix values and recursive profiles. +- Independent integer checker: 780 magnitude pairs, 849,420 exponent pairs, + 1,091 block matrices, 6,776 local input columns; 32,810 total real saving. +- Twelve construction controls, four independent matrix/prefix controls and + 25 inherited frame/wrapper controls rejected. +- Four packaging tests pass. These execute both new checkers with `-O -I -B` + from a different working directory in a minimal copied tree containing + only this package and its seven pinned inputs. They accept equivalent + recompressed inputs, confirm read-only execution, and reject altered source + payloads, a changed transition certificate and an undercharged receipt. +- All seven immutable input bytes match the base Git blobs. Compressed + mathematical artifacts are checked by decompressed payload and SPEC + semantic hashes, not gzip headers. +- `python -B scripts/verify_selected_result.py` passes, retaining the exact + selected fraction `51110230636731/31250000000000000`. +- Ruff 0.17.0 checks the five new Python files. Git whitespace checking and + the focused diff review cover only this new research directory. + +The full repository suite, full selected cold reconstruction, global +invoice/admission regeneration, remote CI and Lean were not run. No original +construction file or selected frontier was modified. The native replay +checks the unchanged macro program; it does not silently integrate the new +primitive lowering. The separate local-budget calculation explicitly shows +that the unchanged backward maximum prevents a local-invoice improvement. + +The one-line expected outputs and independently reproducible commands in +README.md are the handoff contract. No verification depends on scratch files, +pending-PR code, network access or unshipped tooling. diff --git a/research/jp8-additive-coefficient-routes/construct.py b/research/jp8-additive-coefficient-routes/construct.py new file mode 100644 index 0000000000..0b996246d4 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/construct.py @@ -0,0 +1,180 @@ +"""Finite positive one-read routes for fixed-order JP8 cleanup. + +Ryan Haines, with substantial OpenAI Codex assistance. Apache-2.0. +Original binary-Horner contract: attributed #626/#622 emitter. +Power-of-two comparator: Jeffrey Cox (@namredips), PR #739; no code imported. +""" + +from fractions import Fraction as Q +from functools import lru_cache + +WORK = 724 +LIMIT = 16 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def register(pair): + tag, index = pair + require(isinstance(index, int), "noninteger register") + require((tag == "L" and 0 <= index < 716) + or (tag == "C" and 0 <= index < 8), "unknown register") + return index if tag == "L" else 716 + index + + +def exponent(q): + a, b = q.numerator, q.denominator + if a > 0 and a & (a - 1) == 0 and b & (b - 1) == 0: + return a.bit_length() - b.bit_length() + return None + + +def coefficient(op): + q = Q(op[3], op[4]) + require(q and exponent(Q(1, q.denominator)) is not None, + "nonzero dyadic coefficient required") + return q + + +def preparation_cost(q): + a, b = abs(q.numerator), q.denominator + return a.bit_length() + a.bit_count() + b.bit_length() - 1 + + +def shift(target, power): + return [["double" if power > 0 else "halve", target] + for _ in range(abs(power))] + + +def prepare(source, magnitude): + require(magnitude > 0, "positive magnitude required") + a, b = magnitude.numerator, magnitude.denominator + require(b & (b - 1) == 0, "nondyadic preparation") + result = [["clear", WORK], ["add", WORK, source]] + for bit in bin(a)[3:]: + result.append(["double", WORK]) + if bit == "1": + result.append(["add", WORK, source]) + return result + shift(WORK, 1 - b.bit_length()) + + +def lower_macro(op): + tag, target = op[0], register(op[1]) + if tag == "clear": + return [["clear", target]] + if tag == "copy": + return [["copy", target, register(op[2])]] + if tag == "scale": + q = Q(op[2], op[3]) + k = exponent(abs(q)) + require(k is not None, "scale is not a signed power of two") + return shift(target, k) + ([["neg", target]] if q < 0 else []) + require(tag == "add", "unknown macro") + source, q = register(op[2]), coefficient(op) + require(target != source, "source/target alias") + return (prepare(source, abs(q)) + + [["add" if q > 0 else "sub", target, WORK], ["clear", WORK]]) + + +@lru_cache(None) +def one_read_routes(a, b): + """Enumerate all feasible (u,v) in the claimed square, using unique v. + + For each u, (a*2**u+1)*2**v=b determines v. Positive coefficients + make the maximum below an exact coefficient-work L1 envelope. + """ + cap = max(a, Q(b.numerator)) + routes = [] + for u in range(-LIMIT, LIMIT + 1): + middle = a * Q(2)**u + 1 + v = exponent(b / middle) + if (v is not None and -LIMIT <= v <= LIMIT + and max(a, middle, b) <= cap): + routes.append((abs(u) + 1 + abs(v), u, v)) + return tuple(sorted(routes)) + + +def select_route(a, b, additive): + """Strict improvement over reset; ties keep the earlier/simpler choice.""" + cost, route = 1 + preparation_cost(b), None + k = exponent(b / a) + if k is not None and abs(k) < cost: + cost, route = abs(k), ["shift", k] + if additive: + candidates = one_read_routes(a, b) + if candidates and candidates[0][0] < cost: + cost, u, v = candidates[0] + route = ["read", u, v] + return cost, route + + +def eligible(event, phase): + if (phase != "full_frame_cleanup" or event[0] != "scalar" + or event[2] != 1 or event[1][0] != "add"): + return None + op = event[1] + q = coefficient(op) + if (op[1][0] != "L" or op[2][0] != "L" or op[1] == op[2] + or abs(q) == 1): + return None + return register(op[2]), abs(q) + + +def plan(events, additive): + phase, previous = None, None + edges = {} + for index, event in enumerate(events): + if event[0] == "phase": + phase = event[1] + current = eligible(event, phase) + if previous and current and previous[0] == current[0]: + _, route = select_route(previous[1], current[1], additive) + if route is not None: + edges[index] = route + previous = current + blocks = [] + for index, route in edges.items(): + if blocks and blocks[-1]["stop"] == index: + blocks[-1]["stop"] = index + 1 + blocks[-1]["routes"].append(route) + else: + blocks.append({"start": index - 1, "stop": index + 1, + "routes": [route]}) + return blocks + + +def lower_block(events, block): + start, stop, routes = block["start"], block["stop"], block["routes"] + require(0 <= start < stop <= len(events) and stop - start >= 2, + "invalid block span") + require(len(routes) == stop - start - 1, "route count mismatch") + phase = next((e[1] for e in reversed(events[:start + 1]) + if e[0] == "phase"), None) + data = [eligible(e, phase) for e in events[start:stop]] + require(all(data), "block crossed phase/frame or ineligible operation") + source = data[0][0] + require(all(item[0] == source for item in data), "block changes source") + result = prepare(source, data[0][1]) + for j, event in enumerate(events[start:stop]): + if j: + route = routes[j - 1] + a, b = data[j - 1][1], data[j][1] + if route[0] == "shift": + require(len(route) == 2 and exponent(b / a) == route[1], + "invalid rescaling route") + result.extend(shift(WORK, route[1])) + else: + require(route[0] == "read" and len(route) == 3, + "unknown route") + u, v = route[1:] + require((abs(u) + 1 + abs(v), u, v) in one_read_routes(a, b), + "invalid one-read route or prefix excursion") + result.extend(shift(WORK, u)) + result.append(["add", WORK, source]) + result.extend(shift(WORK, v)) + q = coefficient(event[1]) + result.append(["add" if q > 0 else "sub", register(event[1][1]), WORK]) + return result + [["clear", WORK]] diff --git a/research/jp8-additive-coefficient-routes/independent.py b/research/jp8-additive-coefficient-routes/independent.py new file mode 100644 index 0000000000..513f8119fd --- /dev/null +++ b/research/jp8-additive-coefficient-routes/independent.py @@ -0,0 +1,248 @@ +"""Independent integer-grid enumeration and dirty-input block replay. + +Imports neither the constructor nor its verifier. No Fraction arithmetic. +Ryan Haines, with substantial OpenAI Codex assistance. Apache-2.0. +""" + +import argparse +import copy +import gzip +import hashlib +import json +from collections import Counter +from math import gcd +from pathlib import Path + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +WORK = 724 + + +def check(condition, message): + if not condition: + raise ValueError(message) + + +def digest(obj): + return hashlib.sha256(json.dumps(obj, sort_keys=True, + separators=(",", ":")).encode()).hexdigest() + + +def rational(text): + pieces = text.split("/") + return int(pieces[0]), int(pieces[1]) if len(pieces) == 2 else 1 + + +def magnitude(op): + a, b = abs(op[3]), op[4] + g = gcd(a, b) + check(a > 0 and b > 0 and b & (b - 1) == 0, "invalid dyadic coefficient") + return a // g, b // g + + +def label(pair): + a, b = pair + return str(a) if b == 1 else f"{a}/{b}" + + +def shift_int(value, power): + if power >= 0: + return value << power + divisor = 1 << -power + check(value % divisor == 0, "integer-grid precision exhausted") + return value // divisor + + +def enumerate_square(pair, limit, unit): + a_num, a_den = rational(pair["from"]) + b_num, b_den = rational(pair["to"]) + a, b = a_num * unit // a_den, b_num * unit // b_den + cap = max(a, b_num * unit) + found = [] + for u in range(-limit, limit + 1): + middle = shift_int(a, u) + unit + for v in range(-limit, limit + 1): + endpoint = shift_int(middle, v) + if endpoint == b and max(a, middle, b) <= cap: + found.append([abs(u) + 1 + abs(v), u, v]) + return sorted(found) + + +def shifts(target, power): + return [["double" if power > 0 else "halve", target]] * abs(power) + + +def block_program(events, block): + word = events[block["start"]:block["stop"]] + check(len(word) >= 2 and len(block["routes"]) == len(word) - 1, + "bad block geometry") + source = word[0][1][2][1] + a, b = magnitude(word[0][1]) + ops = [["clear", WORK], ["add", WORK, source]] + for digit in format(a, "b")[1:]: + ops.append(["double", WORK]) + if digit == "1": + ops.append(["add", WORK, source]) + ops += shifts(WORK, -(b.bit_length() - 1)) + for j, event in enumerate(word): + check(event[0] == "scalar" and event[2] == 1, "non-full-frame block") + op = event[1] + check(op[0] == "add" and op[1][0] == op[2][0] == "L" + and op[2][1] == source and op[1][1] != source, "source/frame violation") + if j: + route = block["routes"][j - 1] + if route[0] == "shift": + check(len(route) == 2, "malformed shift") + ops += shifts(WORK, route[1]) + else: + check(route[0] == "read" and len(route) == 3, "malformed read") + ops += shifts(WORK, route[1]) + ops.append(["add", WORK, source]) + ops += shifts(WORK, route[2]) + ops.append(["add" if op[3] > 0 else "sub", op[1][1], WORK]) + return ops + [["clear", WORK]] + + +def evaluate_block(events, block, ops, unit): + word = events[block["start"]:block["stop"]] + source = word[0][1][2][1] + regs = sorted({source, WORK} | {e[1][1][1] for e in word}) + positions = {r: i for i, r in enumerate(regs)} + rows = {r: [unit * (i == positions[r]) for i in range(len(regs))] for r in regs} + expected = copy.deepcopy(rows) + norms = {r: unit for r in regs} + reference_norms = dict(norms) + cap = unit + for event in word: + op = event[1] + a, b = magnitude(op) + q = a * unit // b * (1 if op[3] > 0 else -1) + expected[op[1][1]][positions[source]] += q + reference_norms[op[1][1]] += abs(q) + cap = max(cap, a * unit, reference_norms[op[1][1]]) + expected[WORK] = [0] * len(regs) + prefix = unit + for instruction in ops: + tag, target = instruction[:2] + check(target in rows, "unknown integer target") + if tag == "clear": + rows[target], norms[target] = [0] * len(regs), 0 + elif tag in ("add", "sub"): + src = instruction[2] + check(target != src, "aliased integer operation") + sign = 1 if tag == "add" else -1 + rows[target] = [x + sign * y for x, y in zip(rows[target], rows[src])] + norms[target] += norms[src] + else: + check(tag in ("double", "halve"), "unknown integer primitive") + k = 1 if tag == "double" else -1 + rows[target] = [shift_int(x, k) for x in rows[target]] + norms[target] = shift_int(norms[target], k) + prefix = max(prefix, norms[target]) + check(rows == expected, "independent block endpoint/clearing mismatch") + check(prefix <= cap, "independent block prefix excursion") + check(all(norms[r] == reference_norms[r] for r in regs if r != WORK), + "independent live-envelope mismatch") + return len(regs) + + +def expect_rejection(call, name): + try: + call() + except ValueError: + return name + raise ValueError("independent negative control accepted: " + name) + + +def build(): + sources = json.loads((HERE / "SOURCES.json").read_text()) + inputs = {} + for name, expected in sources["payload_sha256"].items(): + data = (ROOT / name).read_bytes() + if name.endswith(".gz"): + data = gzip.decompress(data) + check(hashlib.sha256(data).hexdigest() == expected, "independent source pin") + if name.endswith("LOCAL-PROGRAMS.json.gz"): + inputs = json.loads(data) + certificate = json.loads((HERE / "CERTIFICATE.json").read_text()) + check(certificate["exponent_limit"] == 16, "route domain changed") + receipt = {"method": "integer-grid exhaustive square plus dirty-input block matrices", + "certificate_sha256": digest(certificate), "orientations": {}} + for orientation in ("forward", "backward"): + cert = certificate["orientations"][orientation] + pairs = cert["distinct_pairs"] + denom_bits = max((rational(p[k])[1].bit_length() - 1 + for p in pairs for k in ("from", "to")), default=0) + unit = 1 << (denom_bits + 32) + for pair in pairs: + actual = enumerate_square(pair, 16, unit) + check(actual == pair["one_read_routes"], "incomplete or incorrect route census") + events = inputs[orientation] + previous, phase = None, None + observed = Counter() + for event in events: + if event[0] == "phase": + phase = event[1] + current = None + if (phase == "full_frame_cleanup" and event[0] == "scalar" + and event[2] == 1 and event[1][0] == "add"): + op = event[1] + q = magnitude(op) + if op[1][0] == op[2][0] == "L" and op[1] != op[2] and q != (1, 1): + current = (op[2][1], q) + if previous and current and previous[0] == current[0]: + observed[(label(previous[1]), label(current[1]))] += 1 + previous = current + check(observed == {(p["from"], p["to"]): p["occurrences"] for p in pairs}, + "omitted source-pair coverage") + columns, old, new, fixture = 0, 0, 0, None + for block in cert["blocks"]: + ops = block_program(events, block) + check(digest(ops) == block["primitive_sha256"], "independent primitive hash") + columns += evaluate_block(events, block, ops, unit) + for event in events[block["start"]:block["stop"]]: + a, b = magnitude(event[1]) + old += a.bit_length() + a.bit_count() + b.bit_length() + 1 + new += len(ops) + if fixture is None and any(r[0] == "read" for r in block["routes"]): + fixture = (block, ops) + controls = [] + if fixture: + block, ops = fixture + mutations = [("initial_clear", ops[1:]), ("final_clear", ops[:-1])] + wrong_sign = copy.deepcopy(ops) + j = next(j for j, o in enumerate(ops) if o[0] in ("add", "sub") and o[1] != WORK) + wrong_sign[j][0] = "sub" if wrong_sign[j][0] == "add" else "add" + mutations.append(("target_sign", wrong_sign)) + growth = ops[:-1] + [["double", WORK]] * 32 + [["halve", WORK]] * 32 + ops[-1:] + mutations.append(("endpoint_neutral_growth", growth)) + for name, bad in mutations: + controls.append(expect_rejection( + lambda bad=bad, es=events, b=block, scale=unit: + evaluate_block(es, b, bad, scale), name)) + receipt["orientations"][orientation] = { + "distinct_pairs": len(pairs), "exponent_pairs_checked": 1089 * len(pairs), + "blocks": len(cert["blocks"]), "block_input_columns": columns, + "real_primitives_saved": 2 * (old - new), "negative_controls": controls} + return receipt + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--write", type=Path) + args = parser.parse_args() + receipt = build() + if args.write: + check(not args.write.exists(), "refusing to replace existing independent receipt") + args.write.write_text(json.dumps(receipt, indent=2) + "\n", encoding="utf-8") + else: + check(receipt == json.loads((HERE / "INDEPENDENT.json").read_text()), + "independent committed receipt mismatch") + f = receipt["orientations"]["forward"] + print(f"PASS_INDEPENDENT_ADDITIVE_ROUTES pairs={f['distinct_pairs']} " + f"exponent_pairs={f['exponent_pairs_checked']} " + f"saved={f['real_primitives_saved']} controls={len(f['negative_controls'])}") + + +if __name__ == "__main__": + main() diff --git a/research/jp8-additive-coefficient-routes/native_replay.py b/research/jp8-additive-coefficient-routes/native_replay.py new file mode 100644 index 0000000000..8b92c4986f --- /dev/null +++ b/research/jp8-additive-coefficient-routes/native_replay.py @@ -0,0 +1,43 @@ +"""Run the unchanged inherited frame/wrapper auditor in a fresh directory. + +This checks the pinned original macro word; primitive substitution is checked +by verify.py and independent.py. Ryan Haines / OpenAI Codex; Apache-2.0. +""" + +import argparse +import json +import shutil +import subprocess +import sys +from pathlib import Path + +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) + +from verify import PROVIDER, ROOT, load_inputs, require + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--output", type=Path, required=True) + args = parser.parse_args() + load_inputs() + output = args.output.resolve() + require(not output.exists(), "native replay requires a new directory") + output.mkdir(parents=True) + for name in ("CANONICAL-WORD.json.gz", "LOCAL-PROGRAMS.json.gz"): + shutil.copyfile(ROOT / PROVIDER / name, output / name) + auditor = ROOT / "research/complex-k492-owner-repair/code/hpe_audit_local.py" + subprocess.run([sys.executable, "-I", "-B", str(auditor), str(output)], check=True) + receipt = json.loads((output / "INDEPENDENT-LOCAL-REPLAY.json").read_text()) + # The inherited receipt hashes gzip containers; compare mathematical fields. + del receipt["canonical_word_sha256"] + del receipt["local_programs_sha256"] + expected = json.loads((HERE / "NATIVE.json").read_text()) + require(receipt == expected, "native semantic receipt mismatch") + print("PASS_UNCHANGED_NATIVE_JP8_REPLAY columns=716 " + f"controls={len(receipt['negative_controls_rejected'])}") + + +if __name__ == "__main__": + main() diff --git a/research/jp8-additive-coefficient-routes/test_verify.py b/research/jp8-additive-coefficient-routes/test_verify.py new file mode 100644 index 0000000000..6c56d0c2b7 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/test_verify.py @@ -0,0 +1,84 @@ +"""Packaging/failure-detection tests beyond the algebraic mutation controls.""" + +import gzip +import hashlib +import json +import shutil +import subprocess +import sys +import tempfile +import unittest +from pathlib import Path + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +PACKAGE = HERE.relative_to(ROOT) + + +class PackageTests(unittest.TestCase): + def setUp(self): + self.scratch = tempfile.TemporaryDirectory(prefix="jp8-additive-qa-") + self.addCleanup(self.scratch.cleanup) + self.root = Path(self.scratch.name).resolve() + self.package = self.root / PACKAGE + self.package.mkdir(parents=True) + for source in HERE.iterdir(): + if source.is_file(): + shutil.copyfile(source, self.package / source.name) + pins = json.loads((HERE / "SOURCES.json").read_text()) + for name in pins["payload_sha256"]: + target = self.root / name + target.parent.mkdir(parents=True, exist_ok=True) + shutil.copyfile(ROOT / name, target) + + def run_script(self, name, success=True): + result = subprocess.run([sys.executable, "-O", "-I", "-B", str(self.package / name)], + check=False, cwd=self.root.parent, text=True, capture_output=True) + if success: + self.assertEqual(result.returncode, 0, result.stdout + result.stderr) + else: + self.assertNotEqual(result.returncode, 0, "corruption accepted") + return result.stdout + result.stderr + + def hashes(self): + return {str(p.relative_to(self.root)): hashlib.sha256(p.read_bytes()).hexdigest() + for p in self.root.rglob("*") if p.is_file()} + + def test_relocated_recompressed_read_only_optimized(self): + # Both payloads are mathematically unchanged, with different containers. + for path in self.root.rglob("*.gz"): + path.write_bytes(gzip.compress(gzip.decompress(path.read_bytes()), + compresslevel=1, mtime=123456789)) + before = self.hashes() + self.run_script("verify.py") + self.run_script("independent.py") + self.assertEqual(before, self.hashes(), "read-only replay changed the tree") + + def test_source_corruption(self): + path = next(self.root.rglob("CANONICAL-WORD.json.gz")) + obj = json.loads(gzip.decompress(path.read_bytes())) + obj["R"] += 1 + path.write_bytes(gzip.compress(json.dumps(obj).encode(), mtime=0)) + self.assertIn("source payload changed", self.run_script("verify.py", False)) + self.assertIn("independent source pin", self.run_script("independent.py", False)) + + def test_certificate_corruption(self): + path = self.package / "CERTIFICATE.json" + obj = json.loads(path.read_text()) + route = next(r for b in obj["orientations"]["forward"]["blocks"] + for r in b["routes"] if r[0] == "read") + route[1] += 1 + path.write_text(json.dumps(obj)) + self.assertIn("CERTIFICATE.json mismatch", self.run_script("verify.py", False)) + self.assertIn("independent primitive hash", self.run_script("independent.py", False)) + + def test_undercharged_receipt(self): + path = self.package / "EXPECTED.json" + obj = json.loads(path.read_text()) + obj["orientations"]["forward"]["real_primitives"] -= 2 + path.write_text(json.dumps(obj)) + self.assertIn("EXPECTED.json mismatch", self.run_script("verify.py", False)) + + +if __name__ == "__main__": + unittest.main() diff --git a/research/jp8-additive-coefficient-routes/verify.py b/research/jp8-additive-coefficient-routes/verify.py new file mode 100644 index 0000000000..390f9f6897 --- /dev/null +++ b/research/jp8-additive-coefficient-routes/verify.py @@ -0,0 +1,336 @@ +"""Read-only exact certificate replay; --write explicitly creates artifacts. + +Ryan Haines, with substantial OpenAI Codex assistance. Apache-2.0. +No pending-PR code is imported. See README.md for inherited source credit. +""" + +import argparse +import copy +import gzip +import hashlib +import json +import sys +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +sys.path.insert(0, str(HERE)) + +from construct import ( + LIMIT, + WORK, + coefficient, + eligible, + exponent, + lower_block, + lower_macro, + one_read_routes, + plan, + preparation_cost, + register, + require, +) + +PROVIDER = "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/" +SPEC = "research/complex-k492-owner-repair/data/SPEC.json" +BASE = "66849e1475c930fd7732b1a0067ffee7e1e95f60" + + +def digest(obj): + return hashlib.sha256(json.dumps(obj, sort_keys=True, + separators=(",", ":")).encode()).hexdigest() + + +def load_inputs(): + pins = json.loads((HERE / "SOURCES.json").read_text()) + require(pins["base_commit"] == BASE, "base pin mismatch") + data = {} + for path, expected in pins["payload_sha256"].items(): + payload = (ROOT / path).read_bytes() + if path.endswith(".gz"): + payload = gzip.decompress(payload) + require(hashlib.sha256(payload).hexdigest() == expected, + "source payload changed: " + path) + if path.endswith((".json", ".json.gz")): + data[path] = json.loads(payload) + spec = data[SPEC]["providers"]["jp8"] + for name in ("CANONICAL-WORD.json.gz", "LOCAL-PROGRAMS.json.gz"): + require(digest(data[PROVIDER + name]) == spec["artifact_semantic_sha256"][name], + "selected SPEC artifact binding failed") + programs = data[PROVIDER + "LOCAL-PROGRAMS.json.gz"] + require(set(programs) == {"forward", "backward"}, "orientation coverage") + for name, events in programs.items(): + require(digest(events) == spec["program_hashes"][name], "program binding failed") + native = data[PROVIDER + "CANONICAL-WORD.json.gz"] + require((native["v"], native["R"], native["h"]) == (112, 492, 9), + "supplier dimensions changed") + return programs, native, spec + + +class Machine: + """Sparse exact linear forms on arbitrary inputs and positive L1 envelope.""" + + def __init__(self, registers=range(725)): + self.rows = {r: {r: Q(1)} for r in registers} + self.norms = {r: Q(1) for r in registers} + self.prefix = Q(1) + + def execute(self, op): + tag, target = op[:2] + require(target in self.rows, "unknown primitive target") + if tag == "clear": + self.rows[target], self.norms[target] = {}, Q(0) + elif tag == "copy": + self.rows[target] = dict(self.rows[op[2]]) + self.norms[target] = self.norms[op[2]] + elif tag in ("add", "sub"): + source = op[2] + require(target != source, "primitive source alias") + sign = 1 if tag == "add" else -1 + row = self.rows[target] + for col, value in self.rows[source].items(): + new = row.get(col, Q(0)) + sign * value + if new: + row[col] = new + else: + row.pop(col, None) + self.norms[target] += self.norms[source] + else: + require(tag in ("double", "halve", "neg"), "unknown primitive") + factor = {"double": Q(2), "halve": Q(1, 2), "neg": Q(-1)}[tag] + self.rows[target] = {c: factor * x for c, x in self.rows[target].items()} + self.norms[target] *= abs(factor) + self.prefix = max(self.prefix, self.norms[target]) + + +def macro_count(op): + if op[0] in ("clear", "copy"): + return 1 + if op[0] == "add": + return preparation_cost(coefficient(op)) + 2 + require(op[0] == "scale", "unknown macro count") + q = Q(op[2], op[3]) + k = exponent(abs(q)) + require(k is not None, "invalid scale count") + return abs(k) + int(q < 0) + + +def recount(events, blocks): + original = sum(macro_count(e[1]) for e in events if e[0] == "scalar") + replacement = original + for block in blocks: + old = sum(macro_count(e[1]) for e in events[block["start"]:block["stop"]]) + new = len(lower_block(events, block)) + require(new < old, "nonprofitable selected block") + replacement += new - old + return 2 * original, 2 * replacement + + +def replay(events, native, blocks, orientation): + machine, index, primitives = Machine(), 0, 0 + selected = {b["start"]: b for b in blocks} + require(len(selected) == len(blocks), "duplicate blocks") + previous_stop = 0 + for block in blocks: + require(block["start"] >= previous_stop, "overlapping/unsorted blocks") + previous_stop = block["stop"] + paid, non_scalar = Counter(), [] + while index < len(events): + event = events[index] + if index in selected: + block = selected[index] + require(not machine.rows[WORK], "coefficient work dirty on block entry") + for e in events[index:block["stop"]]: + require(all(native["final"][register(r)] == 1 for r in e[1][1:3]), + "block touches a non-full terminal frame") + ops = lower_block(events, block) + index = block["stop"] + else: + ops = lower_macro(event[1]) if event[0] == "scalar" else [] + if event[0] == "scalar": + require(len(ops) == macro_count(event[1]), "macro count mismatch") + else: + non_scalar.append(event) + if event[0] == "climb": + paid[event[5]] += 1 + elif event[0] == "center": + paid[event[4]] += 1 + if event[0] in ("climb", "center", "adapter", "residual_adapter"): + require(not machine.rows[WORK], "work crossed an interface") + index += 1 + for op in ops: + machine.execute(op) + primitives += len(ops) + for r in range(716): + expected = {r: Q(1)} + if orientation == "forward" and 112 <= r < 224: + expected[r - 112] = Q(1) + elif orientation == "backward" and r < 112: + expected[r + 112] = Q(-1) + require(machine.rows[r] == expected, f"full endpoint mismatch: {orientation}/{r}") + require(all(not machine.rows[r] for r in range(716, 725)), "private inputs survived") + require(dict(paid) == {int(k): v for k, v in native["local_profile"].items()}, + "paid recursive children changed") + require(machine.prefix < 2**192, "inherited prefix allowance exceeded") + return {"columns": 725, "live_columns": 716, "arbitrary_private_columns": 9, + "real_primitives": 2 * primitives, "prefix_l1": str(machine.prefix), + "paid_profile": {str(k): v for k, v in sorted(paid.items())}, + "non_scalar_events_sha256": digest(non_scalar)} + + +def census(events): + phase, previous = None, None + counts, pairs = Counter(), Counter() + for event in events: + if event[0] == "phase": + phase = event[1] + current = eligible(event, phase) + if previous and current and current[0] == previous[0]: + a, b = previous[1], current[1] + pairs[(a, b)] += 1 + counts["adjacent_pairs"] += 1 + if exponent(b / a) is None: + counts["different_odd_numerator_pairs"] += 1 + previous = current + result = [] + for (a, b), occurrences in sorted(pairs.items()): + result.append({"from": str(a), "to": str(b), "occurrences": occurrences, + "one_read_routes": [list(r) for r in one_read_routes(a, b)]}) + return dict(counts), result + + +def rejects(call, name): + try: + call() + except (ValueError, KeyError): + return name + raise ValueError("negative control accepted: " + name) + + +def negative_controls(): + events = [["phase", "full_frame_cleanup"], + ["scalar", ["add", ["L", 1], ["L", 0], 1, 2], 1], + ["scalar", ["add", ["L", 2], ["L", 0], -3, 2], 1]] + block = plan(events, True)[0] + good = lower_block(events, block) + registers = [0, 1, 2, WORK] + reference = Machine(registers) + for event in events[1:]: + for op in lower_macro(event[1]): + reference.execute(op) + + def check(ops): + actual = Machine(registers) + for op in ops: + actual.execute(op) + require(actual.rows == reference.rows, "control endpoint/clearing failure") + require(actual.prefix <= reference.prefix, "control prefix failure") + + check(good) + controls = [rejects(lambda: check(good[1:]), "missing_initial_clear"), + rejects(lambda: check(good[:-1]), "missing_final_clear")] + wrong_sign = copy.deepcopy(good) + wrong_sign[-2][0] = "add" + controls.append(rejects(lambda: check(wrong_sign), "wrong_target_sign")) + wrong_read = copy.deepcopy(good) + j = next(j for j, op in enumerate(wrong_read) if j > 2 and op == ["add", WORK, 0]) + wrong_read[j][2] = 1 + controls.append(rejects(lambda: check(wrong_read), "wrong_transition_source")) + excursion = good[:-1] + [["double", WORK]] * 8 + [["halve", WORK]] * 8 + good[-1:] + controls.append(rejects(lambda: check(excursion), "endpoint_neutral_prefix_excursion")) + for name, mutate in ( + ("source_alias", lambda e: e[2][1].__setitem__(1, ["L", 0])), + ("changed_source", lambda e: e[2][1].__setitem__(2, ["L", 1])), + ("frame_crossing", lambda e: e[2].__setitem__(2, 0)), + ("phase_crossing", lambda e: e.__setitem__(2, ["phase", "done"])), + ): + bad = copy.deepcopy(events) + mutate(bad) + controls.append(rejects(lambda e=bad: lower_block(e, block), name)) + bad_route = copy.deepcopy(block) + bad_route["routes"] = [["read", 1, 0]] + controls.append(rejects(lambda: lower_block(events, bad_route), "wrong_shift_equation")) + # Correct endpoint, but this route's middle coefficient exceeds numerator 1. + require(not one_read_routes(Q(1, 2), Q(1, 8)), "unsafe fixture unexpectedly legal") + controls.append("prefix_route_exclusion") + boundary = events[:2] + [["phase", "done"]] + events[2:] + require(plan(boundary, True) == [], "planner crossed phase boundary") + controls.append("planner_phase_boundary") + return controls + + +def build(): + programs, native, spec = load_inputs() + certificate = {"schema": "jp8-positive-one-read/1", "assignment_seed": 31, + "base_commit": BASE, "exponent_limit": LIMIT, "orientations": {}} + receipt = {"schema": "jp8-positive-one-read-replay/1", "base_commit": BASE, + "negative_controls": negative_controls(), "orientations": {}} + for orientation in ("forward", "backward"): + events = programs[orientation] + blocks = plan(events, True) + pure = plan(events, False) + original, candidate_count = recount(events, blocks) + _, pure_count = recount(events, pure) + counts, pairs = census(events) + cert_blocks = [] + for block in blocks: + item = dict(block) + item["primitive_sha256"] = digest(lower_block(events, block)) + cert_blocks.append(item) + certificate["orientations"][orientation] = { + "census": counts, "distinct_pairs": pairs, "blocks": cert_blocks} + actual = replay(events, native, blocks, orientation) + contract = spec["complete_contract"]["local"][orientation] + require(original == contract["real_component_primitives"], "original count binding") + require(actual["real_primitives"] == candidate_count, "literal primitive count mismatch") + require(actual["prefix_l1"] == contract["prefix_l1"], "global prefix changed") + actual.update({"original_real_primitives": original, + "power_only_real_primitives": pure_count, + "additional_real_saved": pure_count - candidate_count, + "one_read_transitions": sum(r[0] == "read" for b in blocks + for r in b["routes"]), + "blocks": len(blocks)}) + receipt["orientations"][orientation] = actual + print(f"PASS_LITERAL_{orientation.upper()} columns=725 primitives={candidate_count}", + flush=True) + receipt["certificate_sha256"] = digest(certificate) + contract = spec["complete_contract"] + proposed_max = max(r["real_primitives"] for r in receipt["orientations"].values()) + optimistic_bound = proposed_max + contract["local_adapters"] * contract["compiler"] + require(optimistic_bound == contract["local_primitive_bound"], + "unexpected local-invoice change") + receipt["unintegrated_budget"] = { + "unchanged_local_adapters": contract["local_adapters"], + "unchanged_compiler_charge": contract["compiler"], + "max_orientation_primitives": proposed_max, + "binding_orientation": "backward", + "original_local_primitive_bound": contract["local_primitive_bound"], + "optimistic_local_primitive_bound": optimistic_bound, + "new_kappa_claimed": False, + } + return certificate, receipt + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--write", type=Path, help="explicit output directory for new artifacts") + args = parser.parse_args() + certificate, receipt = build() + for filename, obj in (("CERTIFICATE.json", certificate), ("EXPECTED.json", receipt)): + if args.write: + args.write.mkdir(parents=True, exist_ok=True) + path = args.write / filename + require(not path.exists(), "refusing to replace existing artifact: " + str(path)) + path.write_text(json.dumps(obj, indent=2) + "\n", encoding="utf-8") + else: + require(obj == json.loads((HERE / filename).read_text()), filename + " mismatch") + f = receipt["orientations"]["forward"] + print(f"PASS_JP8_ADDITIVE_ROUTES extra_saved={f['additional_real_saved']} " + f"total_saved={f['original_real_primitives'] - f['real_primitives']} " + f"columns=725 orientations=2 controls={len(receipt['negative_controls'])}") + + +if __name__ == "__main__": + main() From d53c8b3b0783a28effd0ad8bd6d7aab6996cdb36 Mon Sep 17 00:00:00 2001 From: Ryan Haines <1855752+Ryan-Haines@users.noreply.github.com> Date: Tue, 13 Oct 2026 02:10:36 -0400 Subject: [PATCH 2/3] Record verified JP8 additive-route result and handoff --- .../jp8-additive-coefficient-routes/CLAIM.md | 24 +++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/research/jp8-additive-coefficient-routes/CLAIM.md b/research/jp8-additive-coefficient-routes/CLAIM.md index 1d96994e46..7ef6bf1f55 100644 --- a/research/jp8-additive-coefficient-routes/CLAIM.md +++ b/research/jp8-additive-coefficient-routes/CLAIM.md @@ -36,3 +36,27 @@ claim under the requested fallback. No separate reservation issue is opened. Contributor: Ryan Haines (@Ryan-Haines), with substantial OpenAI Codex assistance. New material is Apache-2.0. Result and handoff will be recorded once after verification. + +## Result and handoff + +Completed: [PR #811](https://github.com/CrocSwap/integer-mult-bounds/pull/811). +The 269 positive one-read transitions save 2,784 real primitives beyond the +power-only comparator; total forward saving is 32,810 (257,232 to 224,422). +Both orientations pass literal replay on 725 arbitrary columns. Independent +integer enumeration covers 849,420 exponent pairs and 6,776 block input +columns. Windows and Linux, optimized/relocated/recompressed replay, 12+4+25 +mutation controls, four packaging tests, Ruff and selected-record integrity +pass. The unchanged backward maximum leaves the local invoice unchanged; +no new kappa is claimed. README.md gives the reproduction command and limits. + +Final overlap refresh: 629 open PRs through #810 at 06:08 UTC, plus renewed +confirmation of no pinned issue and unchanged `origin/main`. New #807 +changes CK helper bases; #809 changes a historical center basis. Neither +examines fixed-order JP8 cleanup numerator transitions. Source/comparison +heads for #739 and #793 are pinned; no pending implementation is imported. + +The initial research commit is `e80c08f`; this final claim update records the +result once. A clean patch and short handoff are also retained in the local +workspace as `jp8-additive-s31.patch` and `jp8-additive-HANDOFF.txt`, including +the final commit and verification command. This local claim is the requested +coordination fallback because no pinned sprint issue exists. From b5c244c916dd0b30957332edad7ae7ae22b0eb9d Mon Sep 17 00:00:00 2001 From: Ryan Haines <1855752+Ryan-Haines@users.noreply.github.com> Date: Tue, 13 Oct 2026 02:14:34 -0400 Subject: [PATCH 3/3] Pin historical assembly after upstream frontier promotion --- research/jp8-additive-coefficient-routes/README.md | 7 +++++-- research/jp8-additive-coefficient-routes/SOURCES.json | 4 ++-- 2 files changed, 7 insertions(+), 4 deletions(-) diff --git a/research/jp8-additive-coefficient-routes/README.md b/research/jp8-additive-coefficient-routes/README.md index 30a6dc6288..adb9acc541 100644 --- a/research/jp8-additive-coefficient-routes/README.md +++ b/research/jp8-additive-coefficient-routes/README.md @@ -26,8 +26,11 @@ Even optimistically substituting the new counts into the existing invoice while retaining all 437,040 adapter allowances and the 25,934,336 compiler charge leaves the local bound **11,334,342,462,720** unchanged. This is a useful forward-circuit improvement, not an admitted supplier-bound or -exponent improvement. The selected conditional kappa remains -**0.001635527380375392**. +exponent improvement. At the research base, the selected conditional kappa was +**0.001635527380375392**. During submission, main advanced to #741/#589 at +**0.001661202643272239**. This package remains a historical #626 circuit +result; no saving is transported to #741. Its source pins use the immutable +#626 assembly, so advancing the selected-result pointer does not break replay. ## Reproduce diff --git a/research/jp8-additive-coefficient-routes/SOURCES.json b/research/jp8-additive-coefficient-routes/SOURCES.json index bc1e705f8c..fb65c81c1d 100644 --- a/research/jp8-additive-coefficient-routes/SOURCES.json +++ b/research/jp8-additive-coefficient-routes/SOURCES.json @@ -9,8 +9,8 @@ "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/LOCAL-PROGRAMS.json.gz": "efe45ce7fb025a6f53cc9eb54e951ac2211a5ed927e689a049e4f68ca680654b", "research/complex-k492-owner-repair/data/SPEC.json": "2a2577ac526535826fed9d5f7f83f6e2e0ec058a146c64f7286720b995fa2323", "research/complex-k492-owner-repair/code/hpe_emit_local.py": "7e4a6fbc38c8228157b6311457d1496bf460291393043932d2c365f004f77805", - "certificates/selected-result.json": "b3bf402f31a69bde0629936a9b569bed48281568d7b16d5fba120b5311ea1f53", "research/complex-k492-owner-repair/code/hpe_audit_local.py": "6bd9a1e279c9c9e4f3767d9f82e537b559292906feb2ddab02f380fb6523a810", - "research/complex-k492-owner-repair/code/assemble.py": "1b1a9024ac910dc9b9d9e30150684e1fa9cb228a4c1c275b75ab04b57fdef1dd" + "research/complex-k492-owner-repair/code/assemble.py": "1b1a9024ac910dc9b9d9e30150684e1fa9cb228a4c1c275b75ab04b57fdef1dd", + "research/community-k492-audit/pr626/replay/ASSEMBLY.json": "6127732e2fcdd470dab349c1c51d03cd9f0787ad0309b1b4a7c811a908028f4e" } }