From c291ad5cc6c0f4bd7a3319855202d2f753bebb17 Mon Sep 17 00:00:00 2001 From: digitalis-p <157422123+digitalis-p@users.noreply.github.com> Date: Fri, 16 Oct 2026 03:17:48 -0600 Subject: [PATCH] Research: T185 dirty-entry and frame-refit screens (negative result, no kappa) Bounded screen of single-helper dirty entry, with every existing gate fixed, on the #2863 (PR2857 shared-kernel) and #2894 (preload-move) supplier words. Exact adjoint responses, full-program frame feasibility, partner cancellation, sub-frame entry, insertions in either phase and one-hop relays with an exact bilinear validity test. Result: 0 frame-feasible candidates on all four words; 8 apparent relays, 0 valid; single-gate and cascade frame refits 0 improving. Calibrated: the same screen gives exactly #2853's 16 quartet helpers on the PR2833 words. With frames relaxed, all 184 eligible helpers are algebraically cancellable, so frame placement is the obstruction; #2894's preload re-synthesis of two zero-frame-first quartets is consistent with this. Also records an independent fast and full cold replay of #2863. Vendored inputs keep their PR2833, PR2857 and PR2894 notices. Prepared for digitalis-p with substantial Claude (Anthropic) assistance; no independent human review claimed. Co-Authored-By: Claude Opus 5.5 --- .../t185-dirty-entry-frame-screens/NOTICE | 12 + .../t185-dirty-entry-frame-screens/README.md | 164 +++++++ .../SOURCES.json | 18 + .../t185-dirty-entry-frame-screens/TASK.json | 78 +++ .../VERIFY.json | 42 ++ .../evidence/RELAXED-CENSUS.json | 24 + .../evidence/T185-REPLAY.json | 44 ++ .../evidence/VERIFY-RECEIPT-local.json | 460 ++++++++++++++++++ .../tools/dual_screen.py | 61 +++ .../tools/entry_screen.py | 325 +++++++++++++ .../tools/refit_screens.py | 234 +++++++++ .../tools/wordlib.py | 280 +++++++++++ .../vendor/INPUTS.json | 96 ++++ .../vendor/pr2833/BORROW-WORD-43base.json.gz | Bin 0 -> 70117 bytes .../vendor/pr2833/BORROW-WORD-43extra.json.gz | Bin 0 -> 70117 bytes .../vendor/pr2833/NOTICE | 10 + .../vendor/pr2857/NOTICE | 19 + .../vendor/pr2857/WORD-base.json.gz | Bin 0 -> 70278 bytes .../vendor/pr2857/WORD-extra.json.gz | Bin 0 -> 70278 bytes .../vendor/pr2894/CREDITS.md | 15 + .../vendor/pr2894/NOTICE | 30 ++ .../vendor/pr2894/WORD-PM-base.json.gz | Bin 0 -> 70383 bytes .../vendor/pr2894/WORD-PM-extra.json.gz | Bin 0 -> 70381 bytes .../t185-dirty-entry-frame-screens/verify.py | 200 ++++++++ 24 files changed, 2112 insertions(+) create mode 100644 research/t185-dirty-entry-frame-screens/NOTICE create mode 100644 research/t185-dirty-entry-frame-screens/README.md create mode 100644 research/t185-dirty-entry-frame-screens/SOURCES.json create mode 100644 research/t185-dirty-entry-frame-screens/TASK.json create mode 100644 research/t185-dirty-entry-frame-screens/VERIFY.json create mode 100644 research/t185-dirty-entry-frame-screens/evidence/RELAXED-CENSUS.json create mode 100644 research/t185-dirty-entry-frame-screens/evidence/T185-REPLAY.json create mode 100644 research/t185-dirty-entry-frame-screens/evidence/VERIFY-RECEIPT-local.json create mode 100644 research/t185-dirty-entry-frame-screens/tools/dual_screen.py create mode 100644 research/t185-dirty-entry-frame-screens/tools/entry_screen.py create mode 100644 research/t185-dirty-entry-frame-screens/tools/refit_screens.py create mode 100644 research/t185-dirty-entry-frame-screens/tools/wordlib.py create mode 100644 research/t185-dirty-entry-frame-screens/vendor/INPUTS.json create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2833/BORROW-WORD-43base.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2833/BORROW-WORD-43extra.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2833/NOTICE create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2857/NOTICE create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2857/WORD-base.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2857/WORD-extra.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2894/CREDITS.md create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2894/NOTICE create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2894/WORD-PM-base.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/vendor/pr2894/WORD-PM-extra.json.gz create mode 100644 research/t185-dirty-entry-frame-screens/verify.py diff --git a/research/t185-dirty-entry-frame-screens/NOTICE b/research/t185-dirty-entry-frame-screens/NOTICE new file mode 100644 index 0000000000..193c1c9350 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/NOTICE @@ -0,0 +1,12 @@ +T185 dirty-entry and frame-refit screens +Prepared by digitalis-p with substantial Claude (Anthropic) assistance. New work is Apache-2.0. + +Vendored inputs (byte-preserved; provenance and SHA256 in vendor/INPUTS.json): +- vendor/pr2857/: PR #2857 shared-kernel words, Yiyang (@Lyy-iiis), with its NOTICE. +- vendor/pr2894/: PR #2894 preload-move words, Jeremy Kothe (@jeremykothe2) on #2863/#2857, with its NOTICE and CREDITS.md. +- vendor/pr2833/: PR #2833 dirt-entry words, Jeremy Kothe (@jeremykothe2) and retained lineage, with its NOTICE. + +Methods and data credited: Philippe Van Velzen (#2853) for the A-phase dirt-entry census whose 16-helper result is +the positive control; Dugongue (#2863) for the fixed-inventory packing optimum and dual prices used in +tools/dual_screen.py; PR2833 audit_local.py / PR2857 shared_kernel.py for the frame-ledger rules reimplemented +in tools/wordlib.py (nothing imported). This notice supplements, and does not replace, the vendored notices. diff --git a/research/t185-dirty-entry-frame-screens/README.md b/research/t185-dirty-entry-frame-screens/README.md new file mode 100644 index 0000000000..2f409289ed --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/README.md @@ -0,0 +1,164 @@ +# T185 dirty-entry and frame-refit screens (negative result) + +**No new κ is claimed.** This package bounds the most direct native-word lever left after +[#2863](https://github.com/CrocSwap/integer-mult-bounds/pull/2863) proved the fixed-inventory packing optimum: +letting more helpers enter dirty **while every existing gate stays fixed**. It screens the PR2857 shared-kernel +words of #2863 and the newer preload-move words of +[#2894](https://github.com/CrocSwap/integer-mult-bounds/pull/2894) (Jeremy Kothe, 07:49 UTC, κ ≈ 0.0017201845). +Within the screened class there is **no frame-feasible candidate** on any of the four words. The same screen +reproduces exactly the 16 quartet helpers found by #2853's census on the older PR2833 words. + +With every frame constraint removed, all 184 eligible helpers of the PR2857 words become algebraically +cancellable: the obstruction is frame placement, not linear algebra. #2894 is consistent with this. Its two new +quartets (456,457,466,467) and (458,459,464,465) all have a zero-frame first gate in the PR2857 words, outside +the fixed-gate class, and #2894 reaches them by re-synthesising the preload. This agent's ledger independently +reproduces #2894's local profile {1:2404, 2:642, 3:262, 4:128, 5:26, 8:8} and its inventory {8:86, 9:232}. + +## Why this lever + +On #2863's fixed packing model (dual prices from its `review/PROOF.md`), the float screen in +`tools/dual_screen.py` gives these first-order values per helper changed in all nine calls of a replica: + +| Change | κ change, first-order | +|---|---:| +| Any single packing move (the #2863 gap) | about 4e-9 | +| One more PR2857-type staged rewrite, width 9→8, local 3H1−2H2 | +3.6e-7 | +| Enter dirty at a dimension-1 first frame (−H1, width 9→8), before receiver costs | +5.9e-7 | +| Width 9→8 with no native saving | −4.8e-5 | + +The break-even extra climb cost for a dimension-1 entry is 0.0122 per call. These are screening estimates that +assume an unchanged LP basis, not certificates. + +## What was screened + +A compensated helper q0 can start at a nonzero frame only if its whole target-dirt response is cancelled inside +the program. `tools/entry_screen.py` tests whether that response lies in the exact rational span of responses +reachable by inserted gates `r += u*q0`: + +- **Responses.** `tools/wordlib.py` computes an exact backward (adjoint) pass giving every register's + target-dirt response just before every program item. It reproduces the stored compensation, after the + precondition map, for 402 of 408 live helpers on all four words. The six exceptions are the warp-tainted + initial-correction sources, which are excluded. +- **Insertion times.** Any program position outside the prelude and cut, up to q0's purity horizon. Before q0's + first use, q0 = z0. Afterwards every read partner must be unchanged, with cancellation gates + `r += -u c s` at the same frame. +- **Receivers.** Every live non-target register except q0, entering helpers and correction sources. Mode + `direct` also excludes q0's own partners. Mode `pre-only` allows only insertions before q0's first use. +- **Frames.** One gate frame U with join(current frames) ⊆ U ⊆ meet(next requirements) for the receiver, q0 and + every cancelled partner. Requirements come from the full program timeline: A, A/B target and centre pins, + warps, B, restore and end frames. +- **One-hop relays (`--chains`).** Inject into an intermediate helper m, then `r += k*m` later, with m's partner + cancellation. A relay gate moves m's whole content, so a plan is valid only with a nonzero injection + coefficient. The test is: target ∈ span(V + R_m), and either R_m ∈ span(V) or target ∉ span(V). +- **Cost.** A pruned greedy upper bound on the extra climb cost, with H_r = r^p at the #2863 root. + +`tools/refit_screens.py` is a **side check**: single-gate frame moves and forward/backward frame cascades +inside the fixed scalar word. The task card treats that class as covered by #1995/#2013 for older words. + +## Results + +| Word | Screen | Result | +|---|---|---| +| PR2833 base/extra (control) | direct, pre-only | exactly {460,461,468,469}, {462,463,470,471}, {478,479,490,491}, {480,481,492,493} | +| PR2857 base/extra (#2863 words) | direct, pre-only | **0** of 184 eligible (86 have a zero-frame first gate) | +| PR2857 base/extra | one-hop relays | 8 apparent (409, 411, 413, 415, 425, 427, 429, 431), **0 valid** | +| PR2857 base/extra | refits | single-gate 345 candidates, forward 2797 (53 feasible), backward 3009 (96 feasible): **0 improving** | +| PR2894 base/extra (preload-move words) | direct, pre-only | **0** of 182 eligible (84 zero-frame first) | +| PR2894 base/extra | one-hop relays | 8 apparent (same helpers), **0 valid** | +| PR2894 base/extra | refits | single-gate 345 candidates, forward 2803 (56 feasible), backward 3015 (96 feasible): **0 improving** | +| PR2857 base/extra | frames relaxed (control) | 184/184 in span, including 86/86 zero-frame-first helpers | + +Failure controls in `verify.py`: + +- A corrupted compensation coefficient is detected. +- A broken frame chain is rejected by the ledger. +- A de-optimised word (one climb split by lowering a gate frame) is repaired by the refit screen. +- The relay-validity test accepts six known relays for quartet helper 478 on the PR2833 word. + +The survey agent independently re-ran #2853's own census tool (`dirt3.py --climb`) on the PR2857 words and +found 0 of 185 passes. That corroboration is local-only and not packaged. + +**Bugs fixed during the session.** Each produced false positives before publication, and each was caught by +building a literal word or by the control: + +1. Responses were recorded after an event instead of before it. +2. Next-frame requirements ignored B, restore and pin events. +3. A pre-insertion into q0's own partner was combined with a post-insertion that assumed the partner unchanged. +4. Relay vectors were treated as independent of the injection into the intermediate. + +The published tools implement the corrected rules. + +## Independent reproduction of #2863 + +`evidence/T185-REPLAY.json` records the reproduction. + +- **Fast replay:** all five stages pass under Python 3.14. + - The published head omits two `.gitattributes` files (`* -text`) that its manifest lists; restoring them + from #2857 matches the pinned hash. + - The regenerated `FILL.json.gz` differs only in its gzip container. +- **Complete cold replay:** passes in 1507 s (CPython 3.13.16, NumPy 2.5.4, SciPy 1.18.1, SymPy 1.14.0, + mpmath 1.4.1) with κ = 0.001720100805416885927944 − 10⁻⁴⁶ − 10⁻⁷⁰ exactly. + - The release receipt differs from the published one only in a wall-clock `seconds` field and the manifest + hashes it cascades into. Substituting the published values reproduces the published receipt exactly. + +## Reproduce + +From the repository root (standard library only): + +```sh +python3 scripts/research_package.py --package research/t185-dirty-entry-frame-screens --check-only +python3.12 scripts/research_package.py --package research/t185-dirty-entry-frame-screens +# individual screens +python3 -B research/t185-dirty-entry-frame-screens/tools/entry_screen.py \ + --word research/t185-dirty-entry-frame-screens/vendor/pr2857/WORD-base.json.gz --chains +python3 -B research/t185-dirty-entry-frame-screens/tools/refit_screens.py \ + --word research/t185-dirty-entry-frame-screens/vendor/pr2857/WORD-base.json.gz +# frame-relaxed census (about 12 minutes per word; not registered) +python3 -B research/t185-dirty-entry-frame-screens/tools/entry_screen.py \ + --word research/t185-dirty-entry-frame-screens/vendor/pr2857/WORD-base.json.gz --relax-frames +``` + +The registered `core` part takes about 110 s, and each `chains2857` / `chains2894` part about 250 s locally. +`evidence/VERIFY-RECEIPT-local.json` stores the local outputs. + +## Scope and limits + +This is a bounded screen of single-helper dirty entry and fixed-word frame refits. It is not an impossibility +theorem for native words. It does not cover: + +- changed gate schedules or mixing blocks; +- simultaneous multi-helper entry; +- relays longer than one hop; +- operator-word corrections for warp-tainted helpers; +- receivers excluded above. + +A positive screen would still need a literal word, the inherited exact endpoint audit, a new allocation, complete +admission and the outer release. All inherited all-size, compiler, hosting, precision/tape and analytic +assumptions of the frontier remain. No selected record is changed. + +## Open next questions + +The structured list is in [TASK.json](TASK.json): + +1. **Re-route the phase-A mixing block.** Can it be changed so zero-frame-first helpers start at nonzero frames? + The algebra already admits all of them. #2894's preload re-synthesis realises two quartets, leaving 84 + zero-frame-first helpers on its words. The first step is one remaining helper's pinning gates and an exact + endpoint audit. +2. **Joint plans.** Do joint multi-helper plans or relations with two or more outside helpers (e.g. 479 via + 502/503/490) admit frame-feasible plans? This overlaps the advisory investigation in + [Discussion #2612](https://github.com/CrocSwap/integer-mult-bounds/discussions/2612) and #2875's unsearched + lane. +3. **Warp-tainted helpers.** Can operator-word corrections make them cancellable? + +## Credit + +- **Source words:** Yiyang/Lyy-iiis (PR2857 shared-kernel words) and Jeremy Kothe (PR2833 dirt-entry words and + auditor conventions), both vendored byte-for-byte with their notices in `vendor/`. +- **Census definitions and the control set:** Philippe Van Velzen (#2853). +- **Packing optimum and dual prices:** Dugongue (#2863). +- **Preload-move words:** Jeremy Kothe (#2894), vendored in `vendor/pr2894/` with that package's NOTICE and + CREDITS. +- **Related predecessor screens:** #2875 (digitalis-p). +- **Retained lineage:** all contributors credited in those notices. + +Prepared by digitalis-p with substantial Claude (Anthropic) assistance. Apache-2.0. diff --git a/research/t185-dirty-entry-frame-screens/SOURCES.json b/research/t185-dirty-entry-frame-screens/SOURCES.json new file mode 100644 index 0000000000..07fbe8489f --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/SOURCES.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "base_commit": "47e4094be7b46c988b65b65db0fa92e7c1bad223", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81", + "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "889b95d936746df124872133ae1e7cc339adcb92", + "sha256": "7d185cd8c2af35988d638d969748ad7b670f902606444dbfc748e4402c340df6" + } + ] +} diff --git a/research/t185-dirty-entry-frame-screens/TASK.json b/research/t185-dirty-entry-frame-screens/TASK.json new file mode 100644 index 0000000000..06570c3de8 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/TASK.json @@ -0,0 +1,78 @@ +{ + "schema_version": 1, + "task_id": "complex-new-helper-inventory", + "priority_revision": 5, + "base_commit": "47e4094be7b46c988b65b65db0fa92e7c1bad223", + "original_card": { + "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" + ] + }, + "scope_status": "refined", + "actual_scope": "On the actual PR2857 shared-kernel words used by the T185 frontier (#2863) and the newer PR2894 preload-move words, screen every remaining single-helper dirty entry (a changed helper inventory: one helper starts at a nonzero frame, losing width and its first climb, with its dirt cancelled in-program by inserted adds) under exact time-dependent responses and full-program frame feasibility, including partner cancellation, sub-frame entry, insertions in either phase and one-hop relays; plus, as a labelled side check, single-gate and cascade frame refits of the same words.", + "scope_change_reason": "The card asks for a new helper inventory beating packing. #2863 proved the fixed-inventory packing optimum, so the remaining lever is a changed native word. This package bounds the most direct inventory change (more dirty entries, the mechanism of #2833/#2853/#2857) on the frontier words instead of proposing a new contract. The frame-refit screens touch a scope-change trigger (monotone frames within a fixed word, #1995/#2013) and are reported only as a side check on these newer words.", + "bottleneck_link": "Dual prices of the #2863 fixed packing model value one more PR2857-type width reduction at about +3.6e-7 kappa and entering at a dimension-1 first frame at about +5.9e-7 before receiver costs, against about 4e-9 for any packing move; a positive screen would be the cheapest record-scale lever. The negative result removes it in the screened class and shows the obstruction is frame placement, not algebra.", + "budget_minutes": 150, + "stop_rule": "Stop when the calibrated screen (must reproduce exactly the 16 PR2853 quartet helpers on the PR2833 words) gives no frame-feasible single-helper entry on both current providers in every mode, and every apparent relay fails the exact bilinear validity test; any positive hit must be built literally and pass the exact zero-residual check before being reported.", + "outcome": "negative-result", + "evidence": "verify.py --part core/chains (registered). PR2857 words: 0 of 184 eligible helpers in direct and pre-only modes (86 have a zero-frame first gate); 8 apparent one-hop relays, 0 valid; refits 0 improving (345 single-gate candidates, 2797 forward and 3009 backward cascades). Controls: PR2833 words give exactly the 16 quartet helpers; corrupted compensation and a broken frame chain are rejected; a de-optimised word is repaired by the refit screen; the relay validity test accepts known quartet relays; frames relaxed, 184/184 helpers are algebraically cancellable (evidence/RELAXED-CENSUS.json). PR2894 words: 0 of 182 eligible, 8 apparent relays and 0 valid, refits 0 improving; its two preload-move quartets are zero-frame-first in the PR2857 words (outside the fixed-gate class), consistent with the relaxed control. Independent #2863 fast and full cold replays: evidence/T185-REPLAY.json.", + "author": "digitalis-p", + "ai_assistance": "Substantial assistance from Claude (Anthropic, Claude Opus 5.5 via Claude Code), including two delegated agents (a census survey and the #2863 cold replay). Four screen bugs found during the session were fixed before publication and are described in README. No independent human review is claimed.", + "open_questions": [ + { + "question": "Can the phase-A mixing block be re-routed so that some of the 86 zero-frame-first helpers start at nonzero frames without repaying the saving elsewhere?", + "why_it_matters": "With frames relaxed every one of the 184 eligible helpers is algebraically cancellable, so frame placement is the only obstruction found; each realised entry is worth roughly +1e-7 to +6e-7 kappa first-order. #2894 realises two such quartets by preload re-synthesis, leaving 84 on its words.", + "first_step": "Pick one zero-frame-first helper (e.g. 242), list the mixing-block gates that pin its first frame, and search for a reordering or frame change that admits a nonzero entry frame while keeping the exact endpoint audit (PR2833 audit_local.py) passing.", + "blocked_by": "Needs a changed mixing schedule plus its climb bill; the screen here keeps every existing gate frame fixed." + }, + { + "question": "Do simultaneous multi-helper entries or relations with two or more outside helpers (for example comp[479] in terms of helpers 502/503/490) admit a frame-feasible plan that single-helper screens cannot see?", + "why_it_matters": "This screen is single-helper and one-hop; joint plans can share receivers and frames. #2875 and Discussion #2612 also list this lane as unsearched.", + "first_step": "Extend tools/entry_screen.py to a joint span test for a pair of helpers with shared receivers and exact superposition checks, starting with the 479/481/491/493 relations.", + "blocked_by": "Overlaps the advisory structural investigation in Discussion #2612; coordinate before a construction round." + }, + { + "question": "Can operator-word (warp) corrections make the warp-tainted helpers cancellable?", + "why_it_matters": "Tainted helpers are excluded here because their responses are operator-valued.", + "first_step": "Reuse the initial_corrections operator-word contract from PR2226/PR2833 and test one tainted helper's response in the free algebra.", + "blocked_by": "Requires the free-operator replay of the inherited auditor, not only rational responses." + } + ] +} diff --git a/research/t185-dirty-entry-frame-screens/VERIFY.json b/research/t185-dirty-entry-frame-screens/VERIFY.json new file mode 100644 index 0000000000..e84f7b1c13 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/VERIFY.json @@ -0,0 +1,42 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py", + "--part", + "core" + ], + "timeout_seconds": 300, + "checks": "Vendored input pins; exact climb ledger reproduces both providers' profiles/inventories; adjoint responses reproduce stored compensation (402/408, 6 warp-tainted correction sources); positive control: PR2833 words give exactly the 16 PR2853 quartet helpers; current PR2857 and PR2894 words give 0 dirty-entry candidates (direct and pre-only); frame refits 0 improving; PR2894's preload-move quartets are zero-frame-first in PR2857 and enter in PR2894; failure controls: corrupted compensation, broken frame chain, frame-relaxed subset, de-optimised word repaired; dual normalisation." + }, + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py", + "--part", + "chains2857" + ], + "timeout_seconds": 450, + "checks": "One-hop relays on both PR2857 providers: apparent relays exist and none passes the exact bilinear validity test; the validity test accepts known relays for a PR2833 quartet helper." + }, + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py", + "--part", + "chains2894" + ], + "timeout_seconds": 450, + "checks": "One-hop relays on both PR2894 preload-move providers: apparent relays exist and none passes the exact bilinear validity test." + } + ] +} diff --git a/research/t185-dirty-entry-frame-screens/evidence/RELAXED-CENSUS.json b/research/t185-dirty-entry-frame-screens/evidence/RELAXED-CENSUS.json new file mode 100644 index 0000000000..571ac4ba34 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/evidence/RELAXED-CENSUS.json @@ -0,0 +1,24 @@ +{ + "scope": "Optimistic control: every frame constraint and climb cost removed. Shows the linear algebra admits a cancellation for every eligible helper; with frames enforced (verify.py) the count is 0. Not a construction.", + "python": "3.14.7 (local); about 12 minutes per word; not registered in VERIFY.json because of the generic 600 s limit", + "results": { + "base": { + "word_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458", + "command": "python3 -B tools/entry_screen.py --word vendor/pr2857/WORD-base.json.gz --relax-frames", + "screened": 184, + "in_span": 184, + "zero_frame_first": 86, + "zero_frame_first_in_span": 86, + "all_in_span": true + }, + "extra": { + "word_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546", + "command": "python3 -B tools/entry_screen.py --word vendor/pr2857/WORD-extra.json.gz --relax-frames", + "screened": 184, + "in_span": 184, + "zero_frame_first": 86, + "zero_frame_first_in_span": 86, + "all_in_span": true + } + } +} diff --git a/research/t185-dirty-entry-frame-screens/evidence/T185-REPLAY.json b/research/t185-dirty-entry-frame-screens/evidence/T185-REPLAY.json new file mode 100644 index 0000000000..70ecebb31b --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/evidence/T185-REPLAY.json @@ -0,0 +1,44 @@ +{ + "subject": "Independent reproduction of PR #2863 (Dugongue), head 34328b1d5e5bebac62d5cabec993dfbfd7b2123f", + "fast_replay": { + "command": "python3 -B research/shared-kernel-packing/tools/verify_package.py --work ", + "python": "3.14.7", + "stages": { + "construct": "PASS", + "owners": "PASS", + "moment": "PASS", + "separate-review": "PASS", + "exact-optimality": "PASS (1163 patterns, 11 symbolically tight)" + }, + "moment_target": "0.0017201008054168859279439999...99 (= 0.001720100805416885927944 - 1e-46 - 1e-70)", + "findings": [ + "MANIFEST.json lists .gitattributes and vendor/pr2857/.gitattributes (content '* -text', sha256 705fd4d6451a31d36b3df7de96f83f30ac976c9b4a6d1e51671d8e2f33e2d0da) but the published commit omits both, so --hash-only fails as published; restoring them from PR #2857 (identical hash) makes it pass.", + "The final byte-exact check of the regenerated FILL.json.gz fails under Python 3.14 because of the gzip container; the decompressed payload is identical (sha256 7a972fdb2228dc04ca8319e2c3db26ee01a0c68ab86465b642100a35d72834dc) and the other four data files are byte-identical." + ] + }, + "cold_replay": { + "command": "nice -n 15 python -B reproduce.py --source --work --jobs 2", + "source_fetch": "node --use-system-ca tools/fetch_source.cjs : PASS_IMMUTABLE_PR2833_SOURCE_FETCH (542 files)", + "environment": "CPython 3.13.16 (uv venv), NumPy 2.5.4, SciPy 1.18.1, SymPy 1.14.0, mpmath 1.4.1 (forced to match the authors; SymPy declares mpmath<1.4), gmpy2/psutil absent", + "exit_code": 0, + "wall_seconds": 1507, + "stage_seconds": { + "bootstrap": 326, + "overlay": 0.7, + "shared_native": 57, + "admission": 1122 + }, + "status_lines": [ + "PASS_T185_PORTABLE_COMPLETE_REPLAY", + "PASS_RELEASE", + "PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE" + ], + "kappa": "0.0017201008054168859279439999999999999999999998999999999999999999999999", + "receipt_sha256": { + "replay": "2d5069447270d111e97c4d4b733a1f587c4febb8222bf4601ff641e007d4688d", + "published": "932b22b422e1f74a2b3c705045087260a20b2eea085157693f2b318d360e4a4c" + }, + "receipt_difference": "Only manifest_sha256 and seconds differ. Native local/CLIFFORD-REVIEW.json files carry a wall-clock 'seconds' field; their hashes flow into new/PLAN.json -> new/SPEC.json -> outer/INDEPENDENT.json and outer/LEDGER.json -> package manifest. Substituting the published native-cache hashes reproduces the published manifest 6167060885... exactly; also substituting the published 'seconds' reproduces receipt 932b22b4... exactly. A cold replay therefore cannot match the published receipt byte-for-byte; the kappa and proof text are identical." + }, + "scope": "Reproduction evidence only; no change to #2863 or its claims." +} diff --git a/research/t185-dirty-entry-frame-screens/evidence/VERIFY-RECEIPT-local.json b/research/t185-dirty-entry-frame-screens/evidence/VERIFY-RECEIPT-local.json new file mode 100644 index 0000000000..bb86e90d91 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/evidence/VERIFY-RECEIPT-local.json @@ -0,0 +1,460 @@ +{ + "note": "Local execution of the registered commands before publication (Python 3.14.7, Linux, shared loaded host). Outputs were byte-identical before and after the bisect lookup optimisation. The registered environment is Python 3.12; see the PR description for the 3.12 runner result.", + "core": { + "command": "python3 -B research/t185-dirty-entry-frame-screens/verify.py --part core", + "exit_code": 0, + "elapsed_seconds": 94, + "output": { + "status": "PASS_T185_DIRTY_ENTRY_SCREENS_CORE", + "ledger_and_responses_pr2857-base": { + "profile": { + "1": 2394, + "2": 642, + "4": 128, + "8": 8, + "3": 266, + "5": 26 + }, + "inventory": { + "9": 234, + "4": 26, + "8": 84, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "ledger_and_responses_pr2857-extra": { + "profile": { + "1": 2394, + "2": 642, + "4": 128, + "8": 8, + "3": 266, + "5": 26 + }, + "inventory": { + "9": 234, + "4": 26, + "8": 84, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "ledger_and_responses_pr2833-base": { + "profile": { + "1": 2382, + "2": 650, + "4": 128, + "8": 8, + "3": 266, + "5": 26 + }, + "inventory": { + "9": 238, + "4": 26, + "8": 80, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "ledger_and_responses_pr2833-extra": { + "profile": { + "1": 2382, + "2": 650, + "4": 128, + "8": 8, + "3": 266, + "5": 26 + }, + "inventory": { + "9": 238, + "4": 26, + "8": 80, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "ledger_and_responses_pr2894-base": { + "profile": { + "1": 2404, + "2": 642, + "4": 128, + "8": 8, + "3": 262, + "5": 26 + }, + "inventory": { + "9": 232, + "4": 26, + "8": 86, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "ledger_and_responses_pr2894-extra": { + "profile": { + "1": 2404, + "2": 642, + "4": 128, + "8": 8, + "3": 262, + "5": 26 + }, + "inventory": { + "9": 232, + "4": 26, + "8": 86, + "7": 62, + "5": 2 + }, + "response_match": 402, + "tainted_correction_sources": [ + 273, + 275, + 289, + 291, + 305, + 321 + ] + }, + "entry_pr2857-base_direct": { + "eligible": 184, + "in_span": [], + "zero_frame_first": 86 + }, + "entry_pr2857-base_pre-only": { + "eligible": 184, + "in_span": [], + "zero_frame_first": 86 + }, + "entry_pr2857-extra_direct": { + "eligible": 184, + "in_span": [], + "zero_frame_first": 86 + }, + "entry_pr2857-extra_pre-only": { + "eligible": 184, + "in_span": [], + "zero_frame_first": 86 + }, + "entry_pr2833-base_direct": { + "eligible": 188, + "in_span": [ + 460, + 461, + 462, + 463, + 468, + 469, + 470, + 471, + 478, + 479, + 480, + 481, + 490, + 491, + 492, + 493 + ], + "zero_frame_first": 86 + }, + "entry_pr2833-base_pre-only": { + "eligible": 188, + "in_span": [ + 460, + 461, + 462, + 463, + 468, + 469, + 470, + 471, + 478, + 479, + 480, + 481, + 490, + 491, + 492, + 493 + ], + "zero_frame_first": 86 + }, + "entry_pr2833-extra_direct": { + "eligible": 188, + "in_span": [ + 460, + 461, + 462, + 463, + 468, + 469, + 470, + 471, + 478, + 479, + 480, + 481, + 490, + 491, + 492, + 493 + ], + "zero_frame_first": 86 + }, + "entry_pr2833-extra_pre-only": { + "eligible": 188, + "in_span": [ + 460, + 461, + 462, + 463, + 468, + 469, + 470, + 471, + 478, + 479, + 480, + 481, + 490, + 491, + 492, + 493 + ], + "zero_frame_first": 86 + }, + "entry_pr2894-base_direct": { + "eligible": 182, + "in_span": [], + "zero_frame_first": 84 + }, + "entry_pr2894-base_pre-only": { + "eligible": 182, + "in_span": [], + "zero_frame_first": 84 + }, + "entry_pr2894-extra_direct": { + "eligible": 182, + "in_span": [], + "zero_frame_first": 84 + }, + "entry_pr2894-extra_pre-only": { + "eligible": 182, + "in_span": [], + "zero_frame_first": 84 + }, + "pr2894_quartets_zero_frame_first_in_pr2857": [ + 456, + 457, + 458, + 459, + 464, + 465, + 466, + 467 + ], + "refit_pr2857-base": { + "single": { + "tried": 345, + "improving": 0 + }, + "forward": { + "tried": 2797, + "feasible": 53, + "improving": 0 + }, + "backward": { + "tried": 3009, + "feasible": 96, + "improving": 0 + } + }, + "refit_pr2857-extra": { + "single": { + "tried": 345, + "improving": 0 + }, + "forward": { + "tried": 2797, + "feasible": 53, + "improving": 0 + }, + "backward": { + "tried": 3009, + "feasible": 96, + "improving": 0 + } + }, + "refit_pr2894-base": { + "single": { + "tried": 345, + "improving": 0 + }, + "forward": { + "tried": 2803, + "feasible": 56, + "improving": 0 + }, + "backward": { + "tried": 3015, + "feasible": 96, + "improving": 0 + } + }, + "refit_pr2894-extra": { + "single": { + "tried": 345, + "improving": 0 + }, + "forward": { + "tried": 2803, + "feasible": 56, + "improving": 0 + }, + "backward": { + "tried": 3015, + "feasible": 96, + "improving": 0 + } + }, + "relaxed_subset_in_span": [ + 242, + 246, + 300, + 401, + 409, + 413, + 417, + 429, + 440, + 461, + 502, + 514 + ], + "deoptimised_refit_control": { + "gate": 3507, + "improving_moves": 1 + }, + "dual_phi_at_root": 1.0 + } + }, + "chains2857": { + "command": "python3 -B research/t185-dirty-entry-frame-screens/verify.py --part chains2857", + "exit_code": 0, + "elapsed_seconds": 218, + "output": { + "status": "PASS_T185_DIRTY_ENTRY_SCREENS_CHAINS2857", + "chains_pr2857-base": { + "apparent": [ + 409, + 411, + 413, + 415, + 425, + 427, + 429, + 431 + ], + "valid": [] + }, + "chains_pr2857-extra": { + "apparent": [ + 409, + 411, + 413, + 415, + 425, + 427, + 429, + 431 + ], + "valid": [] + }, + "chain_validity_positive_control": { + "q0": 478, + "valid_relays": 6 + } + } + }, + "chains2894": { + "command": "python3 -B research/t185-dirty-entry-frame-screens/verify.py --part chains2894", + "exit_code": 0, + "elapsed_seconds": 213, + "output": { + "status": "PASS_T185_DIRTY_ENTRY_SCREENS_CHAINS2894", + "chains_pr2894-base": { + "apparent": [ + 409, + 411, + 413, + 415, + 425, + 427, + 429, + 431 + ], + "valid": [] + }, + "chains_pr2894-extra": { + "apparent": [ + 409, + 411, + 413, + 415, + 425, + 427, + 429, + 431 + ], + "valid": [] + } + } + } +} diff --git a/research/t185-dirty-entry-frame-screens/tools/dual_screen.py b/research/t185-dirty-entry-frame-screens/tools/dual_screen.py new file mode 100644 index 0000000000..50d57bffa6 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/tools/dual_screen.py @@ -0,0 +1,61 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Float sensitivity screen for the #2863 fixed packing model (screening only, not certification). + +Uses #2863's published symbolic dual prices (research/shared-kernel-packing/review/PROOF.md, section 4) and its +per-replica model: bins {8:672,16:448,32:448,48:448}, nine calls of the inventory {4:26,5:2,7:62,8:84,9:234}, +local profile 2394H1+642H2+266H3+128H4+26H5+8H8 per call, normalisation 896*73^p. First-order kappa changes +use d(total)/d(alpha) = sum n_r r^p ln(73/r) over the optimal profile and assume the LP basis is unchanged. + +Prepared for digitalis-p with Claude (Anthropic) assistance. Apache-2.0. +""" +import json +from math import log + +ALPHA = 0.001720100805416886 +P = 1 - ALPHA + + +def H(r): + return r ** P if r > 0 else 0.0 + + +def model(): + q = (H(3) - H(48)) / 5 + c = H(5) - 3 * q + lam = {8: c / 4, 16: c / 2, 32: c, 48: H(48)} + mu = {4: H(1) - H(5), 5: -H(5), 7: -c / 2 - q, 8: -c / 4, 9: q} + bins = {8: 672, 16: 448, 32: 448, 48: 448} + inv = {4: 26, 5: 2, 7: 62, 8: 84, 9: 234} + native = {1: 2394, 2: 642, 3: 266, 4: 128, 5: 26, 8: 8} + idle = sum(bins[k] * lam[k] for k in bins) + 9 * sum(inv[w] * mu[w] for w in inv) + total = 9 * sum(n * H(r) for r, n in native.items()) + idle + phi = total / (896 * 73 ** P) + prof = {1: 21780, 2: 5778, 3: 12402 / 5, 4: 1152, 5: 354, 8: 72, 48: 1808 / 5} + slope = sum(n * H(r) * log(73 / r) for r, n in prof.items()) + return mu, phi, slope + + +def rows(): + mu, phi, slope = model() + + def dk(per_call): + return -9 * per_call / slope + + out = {} + for name, nat, w0, w1 in [('staged 9->8 rewrite (3H1-2H2), PR2857 type', {1: 3, 2: -2}, 9, 8), + ('dirt-entry 9->8 (5H1-3H2), PR2853 type', {1: 5, 2: -3}, 9, 8), + ('width 9->8 with no native change', {}, 9, 8), + ('enter at first frame dim 1 (-H1, 9->8)', {1: -1}, 9, 8), + ('enter at first frame dim 2 (-H2, 9->7)', {2: -1}, 9, 7)]: + per_call = sum(n * H(r) for r, n in nat.items()) + mu[w1] - mu[w0] + out[name] = dict(per_call=per_call, dkappa_first_order=dk(per_call)) + for name, nat in [('merge 2H1->H2', {1: -2, 2: 1}), ('merge 2H2->H4', {2: -2, 4: 1}), + ('merge 8H1->H8', {1: -8, 8: 1})]: + per_call = sum(n * H(r) for r, n in nat.items()) + out[name] = dict(per_call=per_call, dkappa_first_order=dk(per_call)) + return dict(phi_at_root=phi, slope_per_replica=slope, break_even_split_cost_dim1=1 - (mu[8] - mu[9]), + rows=out) + + +if __name__ == '__main__': + print(json.dumps(rows(), indent=1)) diff --git a/research/t185-dirty-entry-frame-screens/tools/entry_screen.py b/research/t185-dirty-entry-frame-screens/tools/entry_screen.py new file mode 100644 index 0000000000..4e6c5cbcb4 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/tools/entry_screen.py @@ -0,0 +1,325 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Screen single-helper dirty entry on a BORROW-WORD supplier word. + +A compensated helper q0 can enter dirty (start at a nonzero frame, losing width and its first climb) only if +its whole target-dirt response is cancelled inside the program. This screen asks whether that response lies in +the exact span of responses reachable by inserted gates `r += u*q0`: + +* insertion at any program position outside the prelude and the cut, up to q0's purity horizon (first scale + of q0 or first warp pin after its first use); +* before q0's first use, q0 = z0 exactly; afterwards q0 = z0 + sum c_j s_j and every read partner s_j must be + unchanged, with cancellation gates `r += -u c_j s_j` at the same frame; +* receivers: every live non-target register except q0, initial-correction sources, entering helpers and + (mode `direct`) q0's own partners; mode `pre-only` allows only insertions before q0's first use; +* frame feasibility over the full program timeline: one gate frame U with join(current frames) <= U <= + meet(next required frames) for the receiver, q0 and every cancelled partner; exact pins are respected; +* `--chains`: one-hop relays through an intermediate helper m (inject into m at t1, then `r += k*m` at t2 with + m's partner cancellation). Chain gates move m's whole content, so a plan is valid only if the injection + coefficient into m is nonzero: target in span(V + R_m) and (R_m in span(V) or target not in span(V)), + where V = direct options not touching m plus the chain vectors from that injection; +* `--relax-frames`: drop every frame constraint and cost (an optimistic control, not a construction). + +The reported cost is a pruned greedy upper bound on the extra climb cost (H_r = r^p at the #2863 root). +A positive answer is a screening lead only; it is not an audited word, allocation or kappa. + +Prepared for digitalis-p with Claude (Anthropic) assistance. Apache-2.0. +""" +import argparse +import bisect +import json +import sys +from fractions import Fraction as F +from pathlib import Path + +sys.path.insert(0, str(Path(__file__).resolve().parent)) +import wordlib as W # noqa: E402 + +ALPHA = 0.001720100805416886 +P = 1 - ALPHA + + +def H(d): + return d ** P if d > 0 else 0.0 + + +def split_cost(u, f, n): + if u == f or u == n: + return 0.0 + return H(len(u) - len(f)) + H(len(n) - len(u)) - H(len(n) - len(f)) + + +class Span: + def __init__(self, vectors=()): + self.piv = {} + for v in vectors: + self.add(v) + + def reduce(self, v): + v = dict(v) + while v: + k = min(v) + if k not in self.piv: + return v, k + pv = self.piv[k] + f = v[k] / pv[k] + for kk, val in pv.items(): + nv = v.get(kk, F(0)) - f * val + if nv: + v[kk] = nv + else: + v.pop(kk, None) + return v, None + + def add(self, v): + r, k = self.reduce(v) + if k is not None: + self.piv[k] = r + return True + return False + + def contains(self, v): + return not self.reduce(v)[0] + + +def in_span(vectors, target): + return Span(vectors).contains(target) + + +class Screen: + def __init__(self, x, mode='direct', relax=False): + self.x, self.mode, self.relax = x, mode, relax + self.npre = x.get('prelude_events', 0) + self.live = set(range(W.NREG)) - set(x['removed']) + self.nontarget = [r for r in sorted(self.live) if not (W.V <= r < 2 * W.V)] + self.R0, self.taint0, self.snaps, self.prog = W.adjoint(x, record=set(self.nontarget)) + self.nA = len(x['A']) + self.corr = {c['source'] for c in x['initial_corrections']} + self.entering = set(map(int, x['start_extra'])) + self.start = W.start_frames(x) + self.tl = W.timeline(x, self.prog) + self.writes = {} + for k, (_, _, e) in enumerate(self.prog): + if e[0] in ('add', 'scale'): + self.writes.setdefault(e[1], []).append(k) + self.tpos = {r: [i for (i, _, _, _) in ev] for r, ev in self.tl.items()} + self.spos = {r: [k for (k, _, _) in sn] for r, sn in self.snaps.items()} + + def cur(self, r, k): + j = bisect.bisect_left(self.tpos[r], k) - 1 + return self.tl[r][j][3] if j >= 0 else self.start[r] + + def nxt(self, r, k): + j = bisect.bisect_left(self.tpos[r], k) + if j >= len(self.tl[r]): + raise AssertionError('timeline has an end event') + return self.tl[r][j][2] + + def unchanged(self, s, a, b): + w = self.writes.get(s, []) + j = bisect.bisect_right(w, a) + return not (j < len(w) and w[j] < b) + + def resp(self, r, k): + pos = self.spos.get(r) + if not pos: + return {}, False + j = bisect.bisect_left(pos, k) + if j >= len(pos): + return {}, False + _, R, tn = self.snaps[r][j] + return R, tn + + def insertable(self, k): + return k >= self.npre and (k >= len(self.prog) or self.prog[k][0] != 'cut') + + def events(self, q): + return [(k, e) for k, (_, _, e) in enumerate(self.prog) + if e[0] in ('add', 'scale') and q in W.regs_of(e)] + + def eligible(self, q): + return (q in self.live and q not in self.entering and q not in self.corr + and not self.taint0[q] and bool(self.R0[q]) and bool(self.events(q))) + + def horizon(self, q, evs, t0): + h = len(self.prog) + for k, e in evs: + if e[0] == 'scale': + h = min(h, k) + break + for (i, kind, req, aft) in self.tl[q]: + if kind == 'pin' and i > t0: + h = min(h, i) + break + return h + + def gate_option(self, r, tau, fq, nq, act, extra_lo=(), base_cost=0.0): + """Feasible frame and extra cost for a gate on receiver r at tau (None if infeasible).""" + fr, nr = self.cur(r, tau), self.nxt(r, tau) + if self.relax: + return fr, 0.0 + lo = W.join(fr, fq, extra_lo, *[self.cur(s, tau) for s, _, _ in act]) + hi = W.meet(nr, nq) + for s, _, _ in act: + hi = W.meet(hi, self.nxt(s, tau)) + if len(hi) == 0 or not W.contained(lo, hi): + return None + best = None + for u in ({lo, hi} if len(lo) else {hi}): + c = split_cost(u, fr, nr) + c += sum(split_cost(u, self.cur(s, tau), self.nxt(s, tau)) for s, _, _ in act) + c += base_cost + if best is None or c < best[1]: + best = (u, c) + return best + + def direct_options(self, q0, t0, F1, partners, horizon, pset): + opts = [] + qtimes = {k for k, _ in self.events(q0)} + for r in self.nontarget: + if r == q0 or r in self.corr or r in self.entering: + continue + if self.mode == 'direct' and r in pset: + continue + times = sorted({i for (i, _, _, _) in self.tl[r] if i < len(self.prog)} | qtimes) + for tau in times: + if tau > horizon or not self.insertable(tau): + continue + if self.mode == 'pre-only' and tau > t0: + continue + R, tn = self.resp(r, tau) + if tn or not R: + continue + if tau <= t0: + fq, nq, act = (), F1, [] + else: + fq, nq = self.cur(q0, tau), self.nxt(q0, tau) + act = [(s, c, ri) for (s, c, ri) in partners if ri < tau] + if not all(self.unchanged(s, ri, tau) for s, _, ri in act): + continue + opt = self.gate_option(r, tau, fq, nq, act) + if opt is None: + continue + u, c = opt + if not self.relax and tau > t0: + c += split_cost(u, fq, nq) + opts.append(dict(r=r, tau=tau, U=u, cost=c, R=R, pre=tau <= t0)) + return opts + + def chain_check(self, q0, target, direct, pset): + """Exact bilinear validity of one-hop relays. Returns list of (m, tau1, valid) for usable relays.""" + out = [] + for o1 in direct: + m = o1['r'] + if m < 2 * W.V or m in pset: + continue + mev = self.events(m) + mpart = [(e[2], F(e[3], e[4]), k) for k, e in mev if e[0] == 'add' and e[1] == m] + mscale = [k for k, e in mev if e[0] == 'scale'] + mp = {s for s, _, _ in mpart} + chains = [] + for r in self.nontarget: + if r in (m, q0) or r in self.corr or r in self.entering or r in pset or r in mp: + continue + for (tau2, kind, req, aft) in self.tl[r]: + if tau2 <= o1['tau'] or tau2 >= len(self.prog) or not self.insertable(tau2): + continue + if any(o1['tau'] <= j < tau2 for j in mscale): + continue + R, tn = self.resp(r, tau2) + if tn or not R: + continue + act = [(s, c, ri) for (s, c, ri) in mpart if ri < tau2] + if not all(self.unchanged(s, ri, tau2) for s, _, ri in act): + continue + fm, nm = W.join(self.cur(m, tau2), o1['U']), self.nxt(m, tau2) + if self.gate_option(r, tau2, fm, nm, act) is None: + continue + chains.append(R) + if not chains: + continue + others = [o['R'] for o in direct if o['r'] != m and o['r'] not in mp] + V = Span(others + chains) + with_m = Span(others + chains + [o1['R']]) + if not with_m.contains(target): + continue + valid = V.contains(o1['R']) or not V.contains(target) + out.append(dict(m=m, tau1=o1['tau'], valid=valid)) + return out + + def run(self, q0, chains=False): + evs = self.events(q0) + t0, first = evs[0] + F1 = W.basis(first[-1]) + rec: dict = dict(q0=q0, first_pos=t0, first_frame_dim=len(F1)) + if len(F1) == 0 and not self.relax: + rec.update(in_span=False, reason='first gate at the zero frame') + return rec + partners, horizon = [], None + for k, e in evs: + if e[0] == 'add' and e[1] == q0: + partners.append((e[2], F(e[3], e[4]), k)) + horizon = self.horizon(q0, evs, t0) + pset = {s for s, _, _ in partners} + target = {t: -v for t, v in self.R0[q0].items()} + opts = self.direct_options(q0, t0, F1, partners, horizon, pset) + rec.update(options=len(opts), options_after_A=sum(o['tau'] >= self.nA for o in opts)) + span = Span() + used = [] + for o in sorted(opts, key=lambda o: o['cost']): + if span.contains(target): + break + if span.add(o['R']): + used.append(o) + ok = span.contains(target) + rec['in_span'] = ok + if ok: + pool = [o for o in opts if o['cost'] == 0] + [o for o in used if o['cost'] > 0] + for o in sorted([o for o in pool if o['cost'] > 0], key=lambda o: -o['cost']): + rest = [p for p in pool if p is not o] + if in_span([p['R'] for p in rest], target): + pool = rest + costly = [o for o in pool if o['cost'] > 0] + rec.update(pruned_cost=round(sum(o['cost'] for o in costly), 6), + costly=[(o['r'], o['tau'], len(o['U']), round(o['cost'], 6)) for o in costly]) + elif chains: + ch = self.chain_check(q0, target, opts, pset) + rec['chain_relays'] = ch + rec['chain_valid'] = any(c['valid'] for c in ch) + return rec + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--word', required=True, type=Path) + ap.add_argument('--mode', choices=['direct', 'pre-only'], default='direct') + ap.add_argument('--chains', action='store_true') + ap.add_argument('--relax-frames', action='store_true') + ap.add_argument('--zero-first-only', action='store_true') + ap.add_argument('--helpers', default='') + ap.add_argument('--out', type=Path) + a = ap.parse_args() + x, digest = W.load(a.word) + sc = Screen(x, a.mode, a.relax_frames) + helpers = [int(h) for h in a.helpers.split(',') if h] or [h for h in range(2 * W.V, W.NREG) if sc.eligible(h)] + rows = [] + for q in helpers: + if not sc.eligible(q): + rows.append(dict(q0=q, eligible=False)) + continue + if a.zero_first_only and len(W.basis(sc.events(q)[0][1][-1])) > 0: + continue + rows.append(sc.run(q, chains=a.chains)) + res = dict(word_sha256=digest, mode=a.mode, chains=a.chains, relax_frames=a.relax_frames, + zero_first_only=a.zero_first_only, screened=sum(1 for r in rows if r.get('eligible', True)), + in_span=sorted(r['q0'] for r in rows if r.get('in_span')), + zero_frame_first=sorted(r['q0'] for r in rows if r.get('reason')), + chain_apparent=sorted(r['q0'] for r in rows if r.get('chain_relays')), + chain_valid=sorted(r['q0'] for r in rows if r.get('chain_valid')), rows=rows) + text = json.dumps(res, indent=1, default=list) + '\n' + if a.out: + a.out.write_text(text, encoding='utf-8') + print(json.dumps({k: v for k, v in res.items() if k != 'rows'})) + + +if __name__ == '__main__': + main() diff --git a/research/t185-dirty-entry-frame-screens/tools/refit_screens.py b/research/t185-dirty-entry-frame-screens/tools/refit_screens.py new file mode 100644 index 0000000000..f57486a991 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/tools/refit_screens.py @@ -0,0 +1,234 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Frame-refit screens inside one fixed BORROW-WORD scalar word (side check; see README scope). + +Each register's paid climbs depend only on the frames of the gates it touches. Three exact move families are +screened, all subject to every pin (A/B warps, target levels, centre frames) and end frame: + +* single gate: set one gate frame to any candidate between join(previous frames) and meet(next requirements) + of its registers (candidates: both extremes and the neighbouring frames); +* forward cascade: raise a gate frame so one register's next climb merges into it, then raise each affected + partner's next gate as needed until absorbed; an exact pin or end frame that would be exceeded rejects; +* backward cascade: lower a gate frame to a register's previous frame so its climb merges into the next one, + lowering partners' previous gates as needed; reaching a pin or start frame rejects. + +Cost of a register's climbs is sum H_d over its steps with H_d = d^p at the #2863 moment root (float); the +centre path is unchanged by gate frames and omitted. A move is reported only if it lowers the total. + +Prepared for digitalis-p with Claude (Anthropic) assistance. Apache-2.0. +""" +import argparse +import json +import sys +from collections import defaultdict +from pathlib import Path + +sys.path.insert(0, str(Path(__file__).resolve().parent)) +import wordlib as W # noqa: E402 + +P = 1 - 0.001720100805416886 + + +def H(d): + return d ** P if d > 0 else 0.0 + + +def build(x): + """Per-register ordered events: ('gate', key) | ('pin', before, after) | ('end', frame).""" + start, end = W.start_frames(x), W.end_frames(x) + ev, gates = defaultdict(list), {} + + def addgate(key, g): + regs = list(W.regs_of(g)) + gates[key] = dict(frame=W.basis(g[-1]), regs=regs) + for r in regs: + ev[r].append(('gate', key)) + + for i, g in enumerate(x['A']): + if g[0] == 'warp': + ev[g[1]].append(('pin', W.basis(g[3]), W.basis(g[4]))) + else: + addgate(('A', i), g) + lev = {int(t): W.basis(u) for t, u in x.get('target_levels', {}).items()} + for t in range(W.V): + ev[W.V + t].append(('pin', lev.get(t, ()), lev.get(t, ()))) + for r, u in zip(x['centers'], x['center_frames']): + ev[r].append(('pin', W.basis(u), W.basis(u))) + bw = defaultdict(list) + for rec in x['warps']: + bw[rec[0]].append(rec) + for p in range(len(x['B']) + 1): + for rec in bw.get(p, []): + ev[rec[1]].append(('pin', W.basis(rec[3]), W.basis(rec[4]))) + if p < len(x['B']): + addgate(('B', p), x['B'][p]) + for i, g in enumerate(x['restore']): + addgate(('R', i), g) + live = set(range(W.NREG)) - set(x['removed']) + for r in live: + ev[r].append(('end', end[r])) + pos = {(r, e[1]): i for r, lst in ev.items() for i, e in enumerate(lst) if e[0] == 'gate'} + return start, ev, gates, live, pos + + +def regcost(r, start, ev, gates, over=None): + over = over or {} + cur, c = start[r], 0.0 + for e in ev[r]: + if e[0] == 'gate': + u = over.get(e[1], gates[e[1]]['frame']) + if not W.contained(cur, u): + return None + c += H(len(u) - len(cur)) + cur = u + elif e[0] == 'pin': + if cur != e[1]: + return None + cur = e[2] + else: + if not W.contained(cur, e[1]): + return None + c += H(len(e[1]) - len(cur)) + cur = e[1] + return c + + +def frame_at(r, i, start, ev, gates, over, prev=True): + lst = ev[r] + if prev: + if i == 0: + return start[r], 'start' + e = lst[i - 1] + return (over.get(e[1], gates[e[1]]['frame']), e[1]) if e[0] == 'gate' else (e[2], 'pin') + if i + 1 >= len(lst): + return None, None + e = lst[i + 1] + if e[0] == 'gate': + return over.get(e[1], gates[e[1]]['frame']), e[1] + return e[1], e[0] + + +def delta(touched, over, start, ev, gates, base): + d = 0.0 + for r in touched: + c = regcost(r, start, ev, gates, over) + if c is None: + return None + d += c - base[r] + return d + + +def screens(x): + start, ev, gates, live, pos = build(x) + base = {r: regcost(r, start, ev, gates) for r in live} + if any(v is None for v in base.values()): + raise W.LedgerError('input word violates its own frame chains') + out: dict = dict(single=dict(tried=0, improving=[]), forward=dict(tried=0, feasible=0, improving=[]), + backward=dict(tried=0, feasible=0, improving=[])) + # single-gate moves + for key, g in gates.items(): + info = [] + for r in g['regs']: + i = pos[(r, key)] + pf, _ = frame_at(r, i, start, ev, gates, {}, True) + nf, _ = frame_at(r, i, start, ev, gates, {}, False) + info.append((r, pf, nf)) + if any(nf is None for _, _, nf in info): + continue + lo, hi = W.join(*[pf for _, pf, _ in info]), None + for _, _, nf in info: + hi = nf if hi is None else W.meet(hi, nf) + if not W.contained(lo, hi): + continue + cands = {lo, hi} | {f for _, pf, nf in info for f in (pf, nf) if W.contained(lo, f) and W.contained(f, hi)} + for u in cands: + if u == g['frame']: + continue + out['single']['tried'] += 1 + d = delta([r for r, _, _ in info], {key: u}, start, ev, gates, base) + if d is not None and d < -1e-12: + out['single']['improving'].append([str(key), list(u), d]) + # forward cascades + for r in sorted(live): + prev = None + for e in ev[r]: + if e[0] != 'gate': + prev = None + continue + f = gates[e[1]]['frame'] + if prev is not None and len(f) > len(gates[prev]['frame']): + out['forward']['tried'] += 1 + over, todo, touched, ok = {}, [(prev, f)], set(), True + while todo and ok: + key, u = todo.pop() + cur = over.get(key, gates[key]['frame']) + nu = W.join(cur, u) + if nu == cur: + continue + over[key] = nu + for q in gates[key]['regs']: + touched.add(q) + nf, nk = frame_at(q, pos[(q, key)], start, ev, gates, over, False) + if nf is None or W.contained(nu, nf): + continue + if nk in ('pin', 'end'): + ok = False + break + todo.append((nk, nu)) + if len(over) > 400: + ok = False + if ok: + d = delta(touched, over, start, ev, gates, base) + if d is not None: + out['forward']['feasible'] += 1 + if d < -1e-12: + out['forward']['improving'].append([r, str(prev), d]) + prev = e[1] + # backward cascades + for r in sorted(live): + for i, e in enumerate(ev[r]): + if e[0] != 'gate' or i + 1 >= len(ev[r]): + continue + pf, _ = frame_at(r, i, start, ev, gates, {}, True) + if len(gates[e[1]]['frame']) <= len(pf): + continue + out['backward']['tried'] += 1 + over, todo, touched, ok = {}, [(e[1], pf)], set(), True + while todo and ok: + key, low = todo.pop() + cur = over.get(key, gates[key]['frame']) + nl = W.meet(cur, low) + if nl == cur: + continue + over[key] = nl + for q in gates[key]['regs']: + touched.add(q) + qf, qk = frame_at(q, pos[(q, key)], start, ev, gates, over, True) + if W.contained(qf, nl): + continue + if qk in ('start', 'pin'): + ok = False + break + todo.append((qk, nl)) + if len(over) > 400: + ok = False + if ok: + d = delta(touched, over, start, ev, gates, base) + if d is not None: + out['backward']['feasible'] += 1 + if d < -1e-12: + out['backward']['improving'].append([r, str(e[1]), d]) + return out + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--word', required=True, type=Path) + a = ap.parse_args() + x, digest = W.load(a.word) + res: dict = screens(x) + res['word_sha256'] = digest + print(json.dumps(res)) + + +if __name__ == '__main__': + main() diff --git a/research/t185-dirty-entry-frame-screens/tools/wordlib.py b/research/t185-dirty-entry-frame-screens/tools/wordlib.py new file mode 100644 index 0000000000..6118f41387 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/tools/wordlib.py @@ -0,0 +1,280 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Exact helpers for BORROW-WORD supplier words (PR2833 / PR2857 format). + +Climb ledger: same rules as PR2833 new/borrow/audit_local.py (run_borrow) and +PR2857 shared_kernel.apply(); reimplemented independently, nothing imported. +Adjoint responses: exact rational target-dirt response of every register at +every program position (warp-crossing responses are marked tainted). + +Prepared for digitalis-p with Claude (Anthropic) assistance. Apache-2.0. +""" +import gzip +import hashlib +import json +from collections import Counter, defaultdict +from fractions import Fraction as F + +V, H_DIM, NREG = 112, 9, 704 + + +def load(path): + raw = open(path, 'rb').read() + return json.loads(gzip.decompress(raw)), hashlib.sha256(raw).hexdigest() + + +def basis(vs): + piv = {} + for a in vs: + while a: + bit = a.bit_length() - 1 + if bit in piv: + a ^= piv[bit] + else: + piv[bit] = a + break + for k in sorted(piv): + for j in piv: + if j > k and piv[j] >> k & 1: + piv[j] ^= piv[k] + return tuple(piv[k] for k in sorted(piv, reverse=True)) + + +def contained(a, b): + return basis(list(a) + list(b)) == b + + +def span(u): + s = {0} + for x in u: + s |= {a ^ x for a in s} + return s + + +def meet(u, w): + return basis(list(span(u) & span(w))) + + +def join(*us): + return basis([x for u in us for x in u]) + + +FULL = basis([1 << i for i in range(H_DIM)]) + + +def regs_of(g): + return g[1:3] if g[0] == 'add' else g[1:2] + + +def end_frames(x): + end = [FULL] * V + [basis([z for z in range(1, 1 << H_DIM) if (z & p).bit_count() % 2 == 0]) + for p in x['ports']] + [FULL] * (NREG - 2 * V) + for r, u in x['helper_final'].items(): + end[int(r)] = basis(u) + return end + + +def start_frames(x): + start = [(p,) for p in x['ports']] + [()] * (NREG - V) + for r, u in x['start_extra'].items(): + start[int(r)] = basis(u) + return start + + +class LedgerError(Exception): + pass + + +def ledger(x): + """Return (paid profile Counter, helper width Counter); raise LedgerError on any frame violation.""" + end, start = end_frames(x), start_frames(x) + cur = list(start) + paid = Counter() + + def climb(r, u, where): + u = basis(u) + if not contained(cur[r], u): + raise LedgerError(('non-monotone frame', r, where)) + d = len(u) - len(cur[r]) + if d: + paid[d] += 1 + cur[r] = u + + def step(g, where): + if g[0] == 'warp': + if cur[g[1]] != basis(g[3]): + raise LedgerError(('A warp frame', g[1], where)) + cur[g[1]] = basis(g[4]) + else: + for r in regs_of(g): + climb(r, g[-1], where) + + for i, g in enumerate(x['A']): + step(g, ('A', i)) + lev = {int(t): basis(u) for t, u in x.get('target_levels', {}).items()} + for t in range(V): + if cur[V + t] != lev.get(t, ()): + raise LedgerError(('target level', t)) + for r, u in zip(x['centers'], x['center_frames']): + u = basis(u) + if cur[r] != u: + raise LedgerError(('centre frame', r)) + served = {basis(x['target_levels'].get(str(g[1] - V), [])) for g in x['cut'] if g[2] == r} + for t in sorted(served, key=lambda s: -len(s)): + if not contained(t, u): + raise LedgerError(('centre path not nested', r)) + if t != u: + paid[len(u) - len(t)] += 1 + u = t + bw = defaultdict(list) + for rec in x['warps']: + bw[rec[0]].append(rec) + for p in range(len(x['B']) + 1): + for rec in bw.get(p, []): + if cur[rec[1]] != basis(rec[3]): + raise LedgerError(('B warp frame', rec[1], p)) + cur[rec[1]] = basis(rec[4]) + if p < len(x['B']): + step(x['B'][p], ('B', p)) + for i, g in enumerate(x['restore']): + step(g, ('R', i)) + live = set(range(NREG)) - set(x['removed']) + for r in sorted(live): + climb(r, end[r], ('end',)) + inv = Counter(len(end[r]) - len(start[r]) for r in live if r >= 2 * V) + return paid, inv + + +def program(x): + """Chronological program: A, cut, B (with B warps interleaved by position), restore.""" + prog = [('A', i, g) for i, g in enumerate(x['A'])] + prog += [('cut', i, g) for i, g in enumerate(x['cut'])] + bw = defaultdict(list) + for rec in x['warps']: + bw[rec[0]].append(rec) + for p in range(len(x['B']) + 1): + for rec in bw.get(p, []): + prog.append(('warpB', p, ['warp', rec[1], rec])) + if p < len(x['B']): + prog.append(('B', p, x['B'][p])) + prog += [('R', i, g) for i, g in enumerate(x['restore'])] + return prog + + +def _axpy(dst, src, c): + for k, val in src.items(): + nv = dst.get(k, F(0)) + c * val + if nv: + dst[k] = nv + else: + dst.pop(k, None) + + +def adjoint(x, record=None): + """Exact backward pass. Returns (R0, taint0, snaps, prog). + + R0[r][t] is the coefficient of register r's initial value in target t's final value (raw dirt). + snaps[r] is a chronological list of (k, R, tainted) giving r's response just BEFORE program item k, + for every item k that touches r. A response that crosses a warp operator is tainted (operator-valued). + """ + prog = program(x) + resp = [dict() for _ in range(NREG)] + taint = [False] * NREG + for t in range(V, 2 * V): + resp[t] = {t: F(1)} + snaps = defaultdict(list) + for k in range(len(prog) - 1, -1, -1): + _, _, e = prog[k] + if e[0] == 'add': + t, s = e[1], e[2] + if t == s: + raise ValueError('self add') + _axpy(resp[s], resp[t], F(e[3], e[4])) + taint[s] = taint[s] or taint[t] + elif e[0] == 'scale': + c = F(e[2], e[3]) + resp[e[1]] = {kk: c * val for kk, val in resp[e[1]].items()} + elif e[0] == 'warp': + if resp[e[1]]: + taint[e[1]] = True + if record is not None: + for r in (regs_of(e) if e[0] in ('add', 'scale') else (e[1],)): + if r in record: + snaps[r].append((k, dict(resp[r]), taint[r])) + for r in snaps: + snaps[r].reverse() + return resp, taint, snaps, prog + + +def precondition_map(x, col): + col = dict(col) + for g in x['precondition']: + if g[0] == 'add': + t, s, c = g[1], g[2], F(g[3], g[4]) + if s in col: + _axpy_one(col, t, c * col[s]) + else: + t, c = g[1], F(g[2], g[3]) + if t in col: + col[t] = c * col[t] + return col + + +def _axpy_one(col, t, val): + nv = col.get(t, F(0)) + val + if nv: + col[t] = nv + else: + col.pop(t, None) + + +def compensation_columns(x): + cols = defaultdict(dict) + for g in x['compensation']: + if g[0] != 'add' or g[-1] != []: + raise ValueError('unexpected compensation gate') + _axpy_one(cols[g[2]], g[1], F(g[3], g[4])) + return {h: c for h, c in cols.items() if c} + + +def check_responses(x, resp, taint): + """Compare -precondition(raw dirt) with the stored compensation for every live helper.""" + comp = compensation_columns(x) + corr = {c['source'] for c in x['initial_corrections']} + match, mismatch = 0, [] + for h in range(2 * V, NREG): + if h in x['removed']: + continue + got = precondition_map(x, resp[h]) + exp = {t: -v for t, v in comp.get(h, {}).items()} + if got == exp: + match += 1 + else: + mismatch.append(dict(helper=h, tainted=taint[h], correction_source=h in corr)) + return match, mismatch + + +def timeline(x, prog): + """Per-register frame requirements in program-index space: (k, kind, required_frame, frame_after).""" + tl = defaultdict(list) + lev = {int(t): basis(u) for t, u in x.get('target_levels', {}).items()} + for k, (sec, i, e) in enumerate(prog): + if sec == 'cut': + if i == 0: + for t in range(V): + tl[V + t].append((k, 'pin', lev.get(t, ()), lev.get(t, ()))) + for r, u in zip(x['centers'], x['center_frames']): + tl[r].append((k, 'pin', basis(u), basis(u))) + continue + if e[0] == 'warp': + if sec == 'A': + tl[e[1]].append((k, 'pin', basis(e[3]), basis(e[4]))) + else: + rec = e[2] + tl[e[1]].append((k, 'pin', basis(rec[3]), basis(rec[4]))) + continue + for r in regs_of(e): + tl[r].append((k, 'gate', basis(e[-1]), basis(e[-1]))) + end = end_frames(x) + for r in range(NREG): + tl[r].append((len(prog), 'end', end[r], end[r])) + return tl diff --git a/research/t185-dirty-entry-frame-screens/vendor/INPUTS.json b/research/t185-dirty-entry-frame-screens/vendor/INPUTS.json new file mode 100644 index 0000000000..b1fe6d2fae --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/vendor/INPUTS.json @@ -0,0 +1,96 @@ +{ + "schema_version": 1, + "note": "Byte-preserved copies of unmerged PR inputs (not on main at the base commit). #2863 (Dugongue, head 34328b1d5e5bebac62d5cabec993dfbfd7b2123f) vendors byte-identical copies of the PR2857 words. #2894 (Jeremy Kothe) appeared at 07:49 UTC during preparation; its preload-move words are screened as well.", + "files": [ + { + "role": "pr2857-base", + "path": "vendor/pr2857/WORD-base.json.gz", + "sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458", + "source_pr": 2857, + "source_head": "0b2e2537b368a0cade07ce3f71452ea018ebe394", + "source_path": "research/shared-kernel-repacking/words/WORD-base.json.gz", + "author": "Yiyang/Lyy-iiis" + }, + { + "role": "pr2857-extra", + 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"18d03c447886895ef9abf888398178e0428533ca", + "source_path": "research/shared-kernel-packing/vendor/pm/words/WORD-PM-base.json.gz", + "author": "Jeremy Kothe/jeremykothe2 (preload-move words) on Dugongue #2863 / Lyy-iiis #2857" + }, + { + "role": "pr2894-extra", + "path": "vendor/pr2894/WORD-PM-extra.json.gz", + "sha256": "db34e39876241087b581ed9374c53e9cd393e3e86ef6103bfb54f3077c3d2761", + "source_pr": 2894, + "source_head": "18d03c447886895ef9abf888398178e0428533ca", + "source_path": "research/shared-kernel-packing/vendor/pm/words/WORD-PM-extra.json.gz", + "author": "Jeremy Kothe/jeremykothe2 (preload-move words) on Dugongue #2863 / Lyy-iiis #2857" + }, + { + "role": "pr2894-notice", + "path": "vendor/pr2894/NOTICE", + "sha256": "1493711f66e5cf8d53dd7d4f67edfe2eab8d17dd232b86e08c2d35cc9398cf39", + "source_pr": 2894, + "source_head": "18d03c447886895ef9abf888398178e0428533ca", + "source_path": "research/shared-kernel-packing/NOTICE", + "author": "Jeremy Kothe/jeremykothe2 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(Jeremy Kothe (jeremykothe2), with AI assistance): the two extra staged quartets (456,457,466,467) and (458,459,464,465) found by preload re-synthesis (PreloadMove), declared as a source-bound stage with independent review and fault controls, and the residue-free T74 owner fill. + +Original sources, notices and licenses are retained under `vendor/pr2857/`; the package this extends is PR2863's (`evidence/pr2863/` holds its inherited receipts unchanged). New code is Apache-2.0. Review was by AI agents and exact checkers, not independent human peer review. diff --git a/research/t185-dirty-entry-frame-screens/vendor/pr2894/NOTICE b/research/t185-dirty-entry-frame-screens/vendor/pr2894/NOTICE new file mode 100644 index 0000000000..124fd0dcd8 --- /dev/null +++ b/research/t185-dirty-entry-frame-screens/vendor/pr2894/NOTICE @@ -0,0 +1,30 @@ +T185 attainment of the current shared-kernel packing optimum +This MathProof deliverable adds the ten-move construction, exact fixed-model +optimality proof, separate audits and portable replay, prepared with substantial +OpenAI Codex assistance (root and three Codex agents). New code is Apache-2.0. +Marius-Paul Dumitrean's PR #2856 vacancy-path method and Dugongue's PR #2855 +concentration work are additionally credited; see CREDITS.md for full scope. +Original copyrights, licenses and notices remain in the retained sources. + +The following is the original PR #2857 notice, reproduced unchanged. Its +preparation attribution and directory references describe that upstream package. + +Four staged compensation kernels and chronological owner repacking +Prepared for Yiyang (@Lyy-iiis), with substantial OpenAI Codex assistance. +New contributions are licensed under Apache-2.0. + +Jeremy Kothe (@jeremykothe2), PR2833: pinned source words, dirt-entry mechanism, +local audit, cleanup and native reconstruction lineage. +@philippeVV, concurrent PR2853: the same four A-phase helper quartets +and entrance mechanism, with a different early-read schedule and paid profile. +Marius-Paul Dumitrean (@mdumitrean), PR2843 and predecessors: integer owner-flow +construction and edge-coloring realization, retained in allocation/construction. +Dugongue, PR2839: tensor-block norm and replica/owner interfaces. +Tekalign (@tekuuu), native and source-bound admission lineage. +David Arias C and the other contributors credited in the retained sources. + +Original source-specific licenses and notices are retained in sources/, vendor/ +and allocation/. This notice supplements, and does not replace, their attribution. +Independent checks here are separate AI-assisted implementations; no independent +human or maintainer review, new selected frontier, or full theorem formalization +is claimed. diff --git a/research/t185-dirty-entry-frame-screens/vendor/pr2894/WORD-PM-base.json.gz b/research/t185-dirty-entry-frame-screens/vendor/pr2894/WORD-PM-base.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..0ca814951069c6f029eb375f3ed94053ba45bc63 GIT binary patch literal 70383 zcmYhhb8uY^_dj}K+g4-SZrIqioiw&>Cyi~})`@K=4I4B`3+g@b$jd? zpFnMj5WPX*2=1IKXOJ3~zxNROc=&@pNtl}mDF9{_@n_5a0-n?jkdO$HU+Q!9{?;z`A7)-Om z#~kX{NVU|^&kzcl{Qy#$bm%_AF+lb^64SLb9ZJg;?GTg_1%_A0Ul7^@`{jY)Dr?*N>e6?(8V5 zK#zr(SZI+^ZQJ56!0`~4>x3BlcU&>M0NmLc z$YFE^VK0UP8=5RAQ9rjk#hl@q)7#Uw_jAj66N3pSgK}PV+Eb#?Fy-k6Zn+@>Ec$NC z#T2Hh;`UrMrlSn^E4@hF;sDsU2>=06$l=<}Q6$pU@N0J3bd+6`YgSQ%3qE9CuQ?3O6qL9euo)8iiJ6Q{oyiJI 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z)x8=>PRD8l6Aw5a5mEfbE9z7oUHi(F7&KQc(bw)I$V#T$5xCAzbWbB8QXSK5N1_#f zB0ZT)Dn6;a57@3&!g5<8$muaMQVIK5h|JvZn=W2oZBIROxR+uOX4k`J;-7PCJz*1! z5uM&{FbXrl4mpuqj5@QAopQOOGB*_bFzk}0r(i_E9AyWb#o;xUI|JuAMkcocWrJ>c zIc>i;bmIIzf|+*!p7WhN9}?3B!m=Em95AY-p;-uoGp;_mEiC1m+H!tK8{HyHvv|Z8 zt2>0N?v;51873WNeR9@Bei7bkZmAFax&k%WUcu{& zty3m(!HF5Zyi{<;*uyZZC+32`l}NSAJK6?CDb_5}-22IyR(ZZECYJpN%4gi2MDM|u oN_x0WSsbT exactly the + 16 PR2853 quartet helpers); current PR2857 and PR2894 words -> 0 helpers in `direct` and `pre-only` modes; + frame-refit screens -> 0 improving moves; failure controls (corrupted compensation, broken frame + chain, frame-relaxed subset, de-optimised word found by the refit screen); dual sanity. +`--part chains2857|chains2894` (about 4 minutes each): one-hop relays on both providers of that word family: + apparent relays exist, none valid; (chains2857) the validity test accepts a known PR2833 quartet relay. + +Prepared for digitalis-p with Claude (Anthropic) assistance. Apache-2.0. +""" +import argparse +import copy +import hashlib +import json +import sys +from fractions import Fraction as F +from pathlib import Path + +ROOT = Path(__file__).resolve().parent +sys.path.insert(0, str(ROOT / 'tools')) +import wordlib as W # noqa: E402 +import entry_screen as ES # noqa: E402 +import refit_screens as RS # noqa: E402 +import dual_screen as DS # noqa: E402 + +QUARTETS = [460, 461, 462, 463, 468, 469, 470, 471, 478, 479, 480, 481, 490, 491, 492, 493] +PROFILE_2857 = {1: 2394, 2: 642, 3: 266, 4: 128, 5: 26, 8: 8} +INV_2857 = {4: 26, 5: 2, 7: 62, 8: 84, 9: 234} +PROFILE_2894 = {1: 2404, 2: 642, 3: 262, 4: 128, 5: 26, 8: 8} +INV_2894 = {4: 26, 5: 2, 7: 62, 8: 86, 9: 232} +PROFILE_2833 = {1: 2382, 2: 650, 3: 266, 4: 128, 5: 26, 8: 8} +INV_2833 = {4: 26, 5: 2, 7: 62, 8: 80, 9: 238} + + +def need(ok, msg): + if not ok: + raise SystemExit('FAIL: ' + msg) + + +def inputs(): + pins = json.loads((ROOT / 'vendor' / 'INPUTS.json').read_text()) + words = {} + for item in pins['files']: + path = ROOT / item['path'] + need(hashlib.sha256(path.read_bytes()).hexdigest() == item['sha256'], 'input pin ' + item['path']) + if item['path'].endswith('.json.gz'): + words[item['role']] = W.load(path)[0] + need(set(words) == {'pr2857-base', 'pr2857-extra', 'pr2833-base', 'pr2833-extra', 'pr2894-base', 'pr2894-extra'}, + 'input roles') + return words + + +def core(words, report): + for role, x in words.items(): + paid, inv = W.ledger(x) + exp_p, exp_i = {'pr2857': (PROFILE_2857, INV_2857), 'pr2894': (PROFILE_2894, INV_2894), + 'pr2833': (PROFILE_2833, INV_2833)}[role[:6]] + need(dict(paid) == exp_p and dict(inv) == exp_i, 'ledger profile/inventory ' + role) + need(dict(paid) == {int(k): v for k, v in x['report']['local_profile'].items()}, 'reported profile ' + role) + resp, taint, _, _ = W.adjoint(x) + match, mismatch = W.check_responses(x, resp, taint) + need(match == 402 and len(mismatch) == 6 and all(m['tainted'] and m['correction_source'] for m in mismatch), + 'response model vs stored compensation ' + role) + report['ledger_and_responses_' + role] = dict(profile=dict(paid), inventory=dict(inv), response_match=match, + tainted_correction_sources=[m['helper'] for m in mismatch]) + # positive control and main negative result + for role, x in words.items(): + for mode in ('direct', 'pre-only'): + sc = ES.Screen(x, mode) + elig = [h for h in range(2 * W.V, W.NREG) if sc.eligible(h)] + rows = [sc.run(h) for h in elig] + hits = sorted(r['q0'] for r in rows if r.get('in_span')) + zero = sorted(r['q0'] for r in rows if r.get('reason')) + if role.startswith('pr2833'): + need(hits == QUARTETS, 'positive control (PR2853 quartets) %s %s: %s' % (role, mode, hits)) + else: + need(hits == [], 'current word has a dirty-entry candidate %s %s: %s' % (role, mode, hits)) + report['entry_%s_%s' % (role, mode)] = dict(eligible=len(elig), in_span=hits, zero_frame_first=len(zero)) + # consistency with PR2894: its two preload-move quartets are zero-frame-first helpers of the PR2857 words + # (outside the fixed-gate class screened here); PR2894 lets one member of each (457, 458) enter dirty + pm = [456, 457, 458, 459, 464, 465, 466, 467] + for side in ('base', 'extra'): + need(set(pm) <= set(range(2 * W.V, W.NREG)) and + all(len(W.basis(next(e for _, _, e in W.program(words['pr2857-' + side]) + if e[0] in ('add', 'scale') and h in W.regs_of(e))[-1])) == 0 for h in pm), + 'PR2894 quartets are not zero-frame-first in PR2857 ' + side) + new_entries = sorted(set(map(int, words['pr2894-' + side]['start_extra'])) + - set(map(int, words['pr2857-' + side]['start_extra']))) + need(new_entries == [457, 458], 'PR2894 new dirty entries ' + side + ': %s' % new_entries) + report['pr2894_quartets_zero_frame_first_in_pr2857'] = pm + for role in ('pr2857-base', 'pr2857-extra', 'pr2894-base', 'pr2894-extra'): + r = RS.screens(words[role]) + need(not r['single']['improving'] and not r['forward']['improving'] and not r['backward']['improving'], + 'refit improvement on ' + role) + report['refit_' + role] = {k: {kk: (len(vv) if isinstance(vv, list) else vv) for kk, vv in v.items()} + for k, v in r.items()} + x = words['pr2857-base'] + # failure control 1: corrupted compensation must be detected by the response model + bad = copy.deepcopy(x) + g = bad['compensation'][0] + g[3] = g[3] + g[4] + resp, taint, _, _ = W.adjoint(bad) + match, _ = W.check_responses(bad, resp, taint) + need(match < 402, 'corrupted compensation not detected') + # failure control 2: a broken frame chain must be rejected by the ledger + bad = copy.deepcopy(x) + climbed, nxt = set(), None + for i, e in enumerate(bad['A']): + if e[0] != 'add': + continue + if set(W.regs_of(e)) & climbed: + nxt = i + break + if len(W.basis(e[-1])) > 0: + climbed |= set(W.regs_of(e)) + need(nxt is not None, 'no gate for the broken-chain control') + bad['A'][nxt] = bad['A'][nxt][:-1] + [[]] + try: + W.ledger(bad) + need(False, 'broken frame chain accepted') + except W.LedgerError: + pass + # failure control 3: with frames relaxed the same algebra finds every subset helper in span + subset = [401, 409, 413, 417, 429, 440, 461, 242, 246, 300, 502, 514] + sc = ES.Screen(x, 'direct', relax=True) + rel = sorted(h for h in subset if sc.run(h).get('in_span')) + need(rel == sorted(subset), 'frame-relaxed control: %s' % rel) + report['relaxed_subset_in_span'] = rel + # failure control 4: a de-optimised word (one climb split by lowering a gate frame) is repaired by the screen + found = None + start, ev, gates, _, pos = RS.build(x) + for i, e in enumerate(x['A']): + key = ('A', i) + if e[0] != 'add' or key not in gates: + continue + u = gates[key]['frame'] + lo = W.join(*[RS.frame_at(r, pos[(r, key)], start, ev, gates, {}, True)[0] for r in gates[key]['regs']]) + if len(u) - len(lo) < 2: + continue + extra = next(v for v in u if not W.contained((v,), lo)) + y = copy.deepcopy(x) + y['A'][i] = e[:-1] + [list(W.join(lo, (extra,)))] + try: + W.ledger(y) + except W.LedgerError: + continue + found = (i, RS.screens(y)['single']['improving']) + break + need(found is not None and len(found[1]) > 0, 'refit screen missed a de-optimised climb') + report['deoptimised_refit_control'] = dict(gate=found[0], improving_moves=len(found[1])) + d = DS.rows() + need(abs(d['phi_at_root'] - 1) < 1e-12, 'dual model normalisation') + report['dual_phi_at_root'] = d['phi_at_root'] + + +def chains(words, report, family): + for role in (family + '-base', family + '-extra'): + sc = ES.Screen(words[role], 'direct') + rows = [sc.run(h, chains=True) for h in range(2 * W.V, W.NREG) if sc.eligible(h)] + apparent = sorted(r['q0'] for r in rows if r.get('chain_relays')) + valid = sorted(r['q0'] for r in rows if r.get('chain_valid')) + need(apparent and not valid, 'chain result %s apparent=%s valid=%s' % (role, apparent, valid)) + report['chains_' + role] = dict(apparent=apparent, valid=valid) + if family != 'pr2857': + return + # the validity test can return True: a direct quartet relay on the PR2833 word + x = words['pr2833-base'] + sc = ES.Screen(x, 'direct') + q0 = 478 + evs = sc.events(q0) + t0, first = evs[0] + partners = [(e[2], F(e[3], e[4]), k) for k, e in evs if e[0] == 'add' and e[1] == q0] + pset = {s for s, _, _ in partners} + opts = sc.direct_options(q0, t0, W.basis(first[-1]), partners, sc.horizon(q0, evs, t0), pset) + ch = sc.chain_check(q0, {t: -v for t, v in sc.R0[q0].items()}, opts, pset) + need(any(c['valid'] for c in ch), 'chain validity test never returns True') + report['chain_validity_positive_control'] = dict(q0=q0, valid_relays=sum(c['valid'] for c in ch)) + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--part', choices=['core', 'chains2857', 'chains2894'], default='core') + a = ap.parse_args() + need(not sys.flags.optimize, 'assertions required') + words = inputs() + report = {} + if a.part == 'core': + core(words, report) + else: + chains(words, report, 'pr' + a.part[-4:]) + status = 'PASS_T185_DIRTY_ENTRY_SCREENS_' + a.part.upper() + print(json.dumps(dict(status=status, **report), default=list)) + + +if __name__ == '__main__': + main()