From bb36fc65ee0b161229169505f4840c436c5ca2b9 Mon Sep 17 00:00:00 2001 From: Clear1nsight <22630354+Clear1nsight@users.noreply.github.com> Date: Wed, 11 Nov 2026 14:22:27 +1100 Subject: [PATCH 1/3] Reuse #7147 selected replay navigation for onboarding This is the exact documentation prerequisite retained by #7156. It points the onboarding check to the selected #7000/#7001 review. Credit to Rohan Arun and the source authors. --- docs/ci-verification.md | 19 ++++++++++++++++++- 1 file changed, 18 insertions(+), 1 deletion(-) diff --git a/docs/ci-verification.md b/docs/ci-verification.md index 63ba3e9aa8..52b62d0481 100644 --- a/docs/ci-verification.md +++ b/docs/ci-verification.md @@ -1,8 +1,25 @@ # CI verification -## Current selected-family replay: #6030 +## Current selected-family replay: #7000 with #7001 The [selected record](../certificates/selected-result.json) binds conditional +κ = 0.00363005817 to the [application review](research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md), +[validation receipts](research/pr-intake-evidence/pr7000-application/VALIDATION.json), +and [explicit source closure](../certificates/frontier7000-source.json). +`make frontier7000-verify` follows that exact-source selected replay. The review +reuses eleven authenticated preceding executions and records seven fresh serial +application, scalar and complete native-catalogue executions. The earlier +monolithic timeout is retained separately and is not completed coverage. +Consult the receipts for exact commands, source heads and limits. + +The five inherited framework assumptions remain. No complete uniform word, +literal multiplier execution, independent human proof or formal-kernel proof +is asserted. Routine research submissions do not need to rerun this +selected-family replay. The sections below preserve historical checkpoints. + +## Historical selected-family replay: #6030 + +The [historical checkpoint](../certificates/checkpoints/frontier6030.json) binds conditional κ = 0.003125804 to the [proof review](research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md), [validation receipts](research/pr-intake-evidence/pr6030-audit/VALIDATION.json), and [explicit source closure](../certificates/frontier6030-source.json). From e3f8d39c43b07063dfc5b800f71c5d21015259e6 Mon Sep 17 00:00:00 2001 From: Clear1nsight <22630354+Clear1nsight@users.noreply.github.com> Date: Wed, 11 Nov 2026 15:50:00 +1100 Subject: [PATCH 2/3] Fund a causal helper split with one rank-eight exit extension Bind role 133 and the stationary chart-1031 access to exact #7156 and the unchanged signed 17-stage caller. The full invoice certifies conditional kappa 0.003644890067940. --- .../APPLICATION.md | 57 + .../DISCOVERY.json | 29 + .../EARLY-RESULT.json | 243 ++ .../p104-rank8-exit-funded-split/INPUTS.json | 239 ++ .../NATIVE-RESULT.json | 3155 +++++++++++++++++ research/p104-rank8-exit-funded-split/NOTICE | 14 + .../p104-rank8-exit-funded-split/PATHS.json | 197 + .../p104-rank8-exit-funded-split/PROFILE.json | 16 + .../p104-rank8-exit-funded-split/PROOF.md | 91 + .../p104-rank8-exit-funded-split/README.md | 72 + .../p104-rank8-exit-funded-split/REPLAY.txt | 85 + .../p104-rank8-exit-funded-split/RESULT.json | 1599 +++++++++ .../p104-rank8-exit-funded-split/SOURCES.json | 30 + .../p104-rank8-exit-funded-split/TASK.json | 117 + .../VALIDATION.md | 26 + .../p104-rank8-exit-funded-split/VERIFY.json | 42 + .../p104-rank8-exit-funded-split/WITNESS.json | 201 ++ .../p104-rank8-exit-funded-split/WORD.json.gz | Bin 0 -> 381194 bytes .../p104-rank8-exit-funded-split/build.py | 69 + .../p104-rank8-exit-funded-split/discover.py | 373 ++ .../inputs/pr7156.tar | Bin 0 -> 26501120 bytes .../replay_adapters.py | 65 + .../replay_checks.py | 140 + .../replay_sources.py | 96 + .../p104-rank8-exit-funded-split/verify.py | 55 + 25 files changed, 7011 insertions(+) create mode 100644 research/p104-rank8-exit-funded-split/APPLICATION.md create mode 100644 research/p104-rank8-exit-funded-split/DISCOVERY.json create mode 100644 research/p104-rank8-exit-funded-split/EARLY-RESULT.json create mode 100644 research/p104-rank8-exit-funded-split/INPUTS.json create mode 100644 research/p104-rank8-exit-funded-split/NATIVE-RESULT.json create mode 100644 research/p104-rank8-exit-funded-split/NOTICE create mode 100644 research/p104-rank8-exit-funded-split/PATHS.json create mode 100644 research/p104-rank8-exit-funded-split/PROFILE.json create mode 100644 research/p104-rank8-exit-funded-split/PROOF.md create mode 100644 research/p104-rank8-exit-funded-split/README.md create mode 100644 research/p104-rank8-exit-funded-split/REPLAY.txt create mode 100644 research/p104-rank8-exit-funded-split/RESULT.json create mode 100644 research/p104-rank8-exit-funded-split/SOURCES.json create mode 100644 research/p104-rank8-exit-funded-split/TASK.json create mode 100644 research/p104-rank8-exit-funded-split/VALIDATION.md create mode 100644 research/p104-rank8-exit-funded-split/VERIFY.json create mode 100644 research/p104-rank8-exit-funded-split/WITNESS.json create mode 100644 research/p104-rank8-exit-funded-split/WORD.json.gz create mode 100644 research/p104-rank8-exit-funded-split/build.py create mode 100644 research/p104-rank8-exit-funded-split/discover.py create mode 100644 research/p104-rank8-exit-funded-split/inputs/pr7156.tar create mode 100644 research/p104-rank8-exit-funded-split/replay_adapters.py create mode 100644 research/p104-rank8-exit-funded-split/replay_checks.py create mode 100644 research/p104-rank8-exit-funded-split/replay_sources.py create mode 100644 research/p104-rank8-exit-funded-split/verify.py diff --git a/research/p104-rank8-exit-funded-split/APPLICATION.md b/research/p104-rank8-exit-funded-split/APPLICATION.md new file mode 100644 index 0000000000..d18e650acf --- /dev/null +++ b/research/p104-rank8-exit-funded-split/APPLICATION.md @@ -0,0 +1,57 @@ +# Exact complete application + +The unchanged signed 17-stage caller hashes to +`255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc`. The native SHA256 is +`9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3`. The complete signed physical binding +contains **110,519 paid positions, 22,427 productive fields, surplus 1,424** +and zero empty credit. It charges all 17 added paid exit occurrences and +the changed targets on separate actual owners. Each original main +contact still has its absolute-phase translation. The physical +checker binds all 13,600 contact boundaries. + +The exact catalogue covers **3,036 paid/helper maps and 104 main +boundary pairs** with complete signed Pauli action and absolute Gaussian +phase. The native check compares 5 affected chart pairs on +all 512 columns and runs 18 inherited corruption controls. +The unchanged formal caller uses the 17 independent stage factors, +the signed central operator and the whole-factor LAMBDA convention of +the selected application proof. The literal rank-one exit is a nested +native MOVE with a charged whole-job adapter pair. + +## Precision and finite tape cost + +The native grid is **1125/F25**, the caller's odd scale is 675, and +the fresh precision context is **c = 2,430**. Full exact prefix rows +and separate products give the native grid, and the separate exact +integer replay agrees. The proof uses one complete root factor, with +`F=p+D`, `W=p+h+2D+3` and 26 temporary bits. Scalar numerators fit +the 24-bit contract. Fixed reduced divisors run in finite control +with exact remainder checks. Whole returns and charged scale/reciprocal +conversions support the same common-root induction as the selected review. + +The ordinary source-unit bill is **782,129,100 < 10^9**. The finite +tape count reserves 1,071 native banks and one serial QUERY/LAMBDA +bank, charges 43,760,000 scalar services at the retained step allowance, +and bounds 298,740 complete monomial maps by 25,471,767,360 elementary +records using actual ambient 145. The bit-step coefficient for scalar +services is 45,885,685,760,000. The compiler retains conservative +ambient 153. Every compiled occurrence's actual productive width, +paid count, routing, setup and storage terms enter the retained stock +formula. Reserve `O=63J+U+O_aux` for complex stock and carry the +simultaneous retained BIT stock. + +## Funded compiler and outer result + +The verified claim is **κ = 0.003644890067940**, with tested price +`C=0.00364489006794007`, gap `g=10^-17`, product power 1,920, +cutoff 11, completion floor 12 and offset 1/7. The funded +carrier is `2^16510400000000000000000`, with log power 2237. +The full repricing passes all 54 strict and four functional outer +predicates. Their least positive guard is `10^-18`. Use complex uniform +saving `κ+6g` and the retained weaker BIT premise `0.00376669`, +supplied by the selected admitted BIT `0.00385248`. +The five inherited assumptions remain explicit in [PROOF.md](PROOF.md). + +A separate exact evaluation of the nine outer savings gives limiting +slack `299635510993205997/10^34` above κ. Substituting BIT at or below +the effective saving into the pinned outer evaluator rejects both controls. diff --git a/research/p104-rank8-exit-funded-split/DISCOVERY.json b/research/p104-rank8-exit-funded-split/DISCOVERY.json new file mode 100644 index 0000000000..2ab3171d66 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/DISCOVERY.json @@ -0,0 +1,29 @@ +{ + "group_size": 616, + "eligible_exits": 26, + "charts": 747, + "screen": { + "cases": 11, + "prefix_generators": 499, + "suffix_generators": 397, + "rational_pairs": 1, + "new_access_required_pairs": 1 + }, + "witness": { + "frame": 1031, + "cut": 42379, + "pivot": 1336, + "full_generators": [ + 114, + 86 + ], + "reference_generators": [ + 2, + 52 + ], + "reference_pair_windows": 0, + "boundary_instructions": 50 + }, + "status": "EXACT_CAUSAL_NOMINEE", + "scope": "Exact rational availability and bounded literal basis synthesis" +} diff --git a/research/p104-rank8-exit-funded-split/EARLY-RESULT.json 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"XOR", + 3, + 8 + ], + [ + "XOR", + 0, + 8 + ], + [ + "XOR", + 3, + 4 + ], + [ + "XOR", + 0, + 4 + ], + [ + "SWAP", + 4, + 8 + ], + [ + "XOR", + 8, + 3 + ], + [ + "XOR", + 4, + 3 + ], + [ + "XOR", + 8, + 0 + ], + [ + "XOR", + 4, + 0 + ], + [ + "SWAP", + 0, + 3 + ] + ], + "old9_inverse": [ + 280, + 2, + 4, + 273, + 265, + 32, + 64, + 128, + 25 + ], + "old9_route": [ + 280, + 2, + 4, + 273, + 265, + 32, + 64, + 128, + 25 + ], + "ordinary_elementary_units": 37, + "ordinary_route_units": 19, + "port": 55, + "positive_child_slots": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8 + ], + "q": 280, + "stage": 9 + }, + { + "body_swaps": [ + [ + 1, + 81 + ], + [ + 2, + 82 + ], + [ + 3, + 83 + ], + [ + 4, + 84 + ], + [ + 5, + 85 + ], + [ + 6, + 86 + ], + [ + 7, + 87 + ], + [ + 8, + 88 + ] + ], + "caller_fields": [ + 58, + 59 + ], + "checks": [ + { + "omitted_q_translation_failures": 512, + "tests": 512, + "width": 1 + }, + { + "omitted_q_translation_failures": 55, + "tests": 128, + "width": 2 + }, + { + "omitted_q_translation_failures": 128, + "tests": 128, + "width": 3 + } + ], + "logical_child_rank": 9, + "native_live_role": 60, + "negative_axis_translation_slot": 0, + "old9_elementary_passes": [ + [ + "XOR", + 3, + 8 + ], + [ + "XOR", + 0, + 8 + ], + [ + "XOR", + 3, + 4 + ], + [ + "XOR", + 0, + 4 + ], + [ + "SWAP", + 4, + 8 + ], + [ + "XOR", + 8, + 3 + ], + [ + "XOR", + 4, + 3 + ], + [ + "XOR", + 8, + 0 + ], + [ + "XOR", + 4, + 0 + ], + [ + "SWAP", + 0, + 3 + ] + ], + "old9_inverse": [ + 280, + 2, + 4, + 273, + 265, + 32, + 64, + 128, + 25 + ], + "old9_route": [ + 280, + 2, + 4, + 273, + 265, + 32, + 64, + 128, + 25 + ], + "ordinary_elementary_units": 37, + "ordinary_route_units": 19, + "port": 55, + "positive_child_slots": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8 + ], + "q": 280, + "stage": 10 + } + ], + "paid_calls": 32, + "proposed_sha": "9557f713ab4ffb91ede05e8a6d5668c694b9940fc16f2f2d657e2f2b2cac2d3f", + "status": "PASS_PHYSICAL_RANK9_ALGEBRA", + "word_sha": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3" + }, + "source_head": "b44944c3058d522cbff17836e16240d40d77a927", + "status": "PASS_FUNDED_EXIT_NATIVE", + "timed_certificate": { + "boundary_pairing": "1", + "earliest_injection": 42382, + "gather_count": 12, + "injection_count": 5, + "latest_gather": 42379, + "retirement_cut": 42379, + "status": "PASS_EXACT_GUARDED_TIMED_OBSERVATIONS", + "vectors": { + "c": { + "1001": "-1/4", + "1008": "-11", + "1017": "-2", + "1030": "-105/4", + "1032": "15/2", + "1039": "6", + "1043": "5/2", + "1120": "13/8", + "1134": "5", + "1207": "-3/2", + "1234": "105/16", + "1235": "3/2", + "1242": "10", + "1272": "-1/4", + "1284": "2", + "1307": "-4", + "133": "-3", + "1331": "-3/2", + "1336": "2", + "21": "1/2", + "270": "-3", + "348": "-3/8", + "370": "-3", + "372": "1/8", + "445": "-2", + "482": "-7", + "483": "-3/4", + "494": "19/2", + "495": "9/2", + "497": "1/2", + "506": "1/4", + "507": "2", + "518": "7/2", + "519": "-11", + "553": "-21/2", + "671": "-15/4", + "688": "27/8", + "695": "-5/2", + "711": "3/4", + "757": "5/16", + "767": "1/4", + "901": "10", + "924": "1/2" + }, + "d": { + "1230": "-1/4", + "1236": "-1/2", + "1241": "-1/4", + "1242": "-1/2", + "1247": "1/2", + "1248": "1", + "133": "-2", + "1336": "1", + "445": "1" + } + } + }, + "word_canonical_sha256": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3" +} diff --git a/research/p104-rank8-exit-funded-split/NOTICE b/research/p104-rank8-exit-funded-split/NOTICE new file mode 100644 index 0000000000..ad393f2b6e --- /dev/null +++ b/research/p104-rank8-exit-funded-split/NOTICE @@ -0,0 +1,14 @@ +Prepared for Clear1nsight with substantial OpenAI Codex and ChatGPT Pro +assistance. New work is Apache-2.0. + +Rohan Arun supplied the exact #7156 word, its directed supplier/caller +application, and the signed #7113 caller. His #7142 charged an input +boundary for a different split. Ali Romman supplied the causal-history +owned-buffer identity. Jerry Chen / CubeJerry supplied contact-free +retiming and temporal verification. Matarener supplied the helper +kernels. dillona supplied the temporal constructor, chart-595 source and +scalar-width work. ToikY supplied the pricing engines and earlier chart +leads. The #7155 composition and guarded suffix retain their authors. +Douglas Colkitt and the #7000/#7001 reviewers supplied the retained +all-width application and fixed-tape proof. All original source credits, +licenses and notices remain in the authenticated #7156 archive. diff --git a/research/p104-rank8-exit-funded-split/PATHS.json b/research/p104-rank8-exit-funded-split/PATHS.json new file mode 100644 index 0000000000..de49fca679 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/PATHS.json @@ -0,0 +1,197 @@ +[ + { + "role": 1332, + "lo": 35541, + "hi": 35553, + "moves": [ + 35552 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 767, + "lo": 35552, + "hi": 35555, + "moves": [ + 35554 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 696, + "lo": 31268, + "hi": 35557, + "moves": [ + 35556 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 699, + "lo": 35552, + "hi": 35559, + "moves": [ + 35558 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 697, + "lo": 35570, + "hi": 35580, + "moves": [ + 35579 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 1334, + "lo": 35574, + "hi": 35584, + "moves": [ + 35583 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 1336, + "lo": 32013, + "hi": 35598, + "moves": [ + 35597 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 695, + "lo": 35551, + "hi": 39432, + "moves": [ + 39431 + ], + "frames": [ + 3, + 1031 + ], + "frame": 1031 + }, + { + "role": 1501, + "lo": 42370, + "hi": 42371, + "moves": [ + 42370 + ], + "frames": [ + 591, + 1031 + ], + "frame": 1031 + }, + { + "role": 1530, + "lo": 42379, + "hi": 42380, + "moves": [ + 42379 + ], + "frames": [ + 597, + 1031 + ], + "frame": 1031 + }, + { + "role": 1530, + "lo": 42381, + "hi": 42382, + "moves": [ + 42381 + ], + "frames": [ + 1031, + 591 + ], + "frame": 1031 + }, + { + "role": 1336, + "lo": 42388, + "hi": 42389, + "moves": [ + 42388 + ], + "frames": [ + 1031, + 1079 + ], + "frame": 1031 + }, + { + "role": 1337, + "lo": 42387, + "hi": 42391, + "moves": [ + 42390 + ], + "frames": [ + 1031, + 1080 + ], + "frame": 1031 + }, + { + "role": 1362, + "lo": 42388, + "hi": 42393, + "moves": [ + 42392 + ], + "frames": [ + 1031, + 1078 + ], + "frame": 1031 + }, + { + "role": 1335, + "lo": 39691, + "hi": 42875, + "moves": [ + 42874 + ], + "frames": [ + 1031, + 898 + ], + "frame": 1031 + } +] diff --git a/research/p104-rank8-exit-funded-split/PROFILE.json b/research/p104-rank8-exit-funded-split/PROFILE.json new file mode 100644 index 0000000000..d6a9a12374 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/PROFILE.json @@ -0,0 +1,16 @@ +{ + "added_events": 129, + "events": 76349, + "lifetimes": 66, + "owned": 63, + "paid_delta": { + "1": 1 + }, + "peak": 48, + "public": 1499, + "target_delta": { + "4": 1, + "5": 1, + "8": -1 + } +} diff --git a/research/p104-rank8-exit-funded-split/PROOF.md b/research/p104-rank8-exit-funded-split/PROOF.md new file mode 100644 index 0000000000..0e20dca0d4 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/PROOF.md @@ -0,0 +1,91 @@ +# One paid exit funds the chart-1031 split + +The source is [#7156 at b44944c3058d522cbff17836e16240d40d77a927](https://github.com/CrocSwap/integer-mult-bounds/tree/b44944c3058d522cbff17836e16240d40d77a927/research/p104-temporal-chart306-continuation). +Its normalized native word returns every helper coordinate and leaves all +other outputs independent of those helper inputs. The candidate retains +the signed 17-stage [#7113 caller](https://github.com/CrocSwap/integer-mult-bounds/pull/7113) +at `07a76c5e2738882c0cb322278e56f6cae3c9885d`. + +## Literal exit extension and temporal access + +Role 133 starts at frame 3 and returns at frame 591 of rank eight. Append one +public MOVE from frame 591 to frame 127, whose span strictly contains it. +The unchanged scalar endpoint for role 133 now belongs to the arbitrary +helper group with boundary frames 3 and 127. The new MOVE has rank one and +is charged. Both the prefix and suffix vectors use role 133, so omitting +the extension makes the unchanged-boundary constructor reject the witness. + +At chart 1031 of rank five and original cut 42,379, pivot 1,336 is resident. +[WITNESS.json](WITNESS.json) binds twelve gathers and five injections to +the exact original cuts. Roles 1,362 and 1,386 are literal stationary +gathers at cut zero, with windows `[0,35561]` and `[0,35607]`. The other +fifteen observations use the contact-free retimings in +[PATHS.json](PATHS.json). The retiming preserves all original paid MOVE +ranks. Every read and write stays in one literal frame. + +Let P(t,r) be the complete normalized scalar prefix row at cut t, and let +S(t,r) be the suffix perturbation response in all final public and owned +coordinates and all COPY destination-zero guards. A guard for an injection +at cut t includes a COPY performed at event t. The two weighted sums give +the vectors c and d in the witness, with zero in every outside coordinate. +Their support intersection is roles 133, 445, 1,242 and 1,336. Its dot +product is `6 - 2 - 5 + 2 = 1`. The retained exact certificate recomputes +both vectors. Separate controls reject an omitted exit, a wrong exit +frame, a false stationary frame, a MOVE inside the claimed stationary +interval and an observation after CLEAR. + +## Arbitrary-input split + +The retained causal construction builds a scalar basis G with pivot row +c and `G d = e_pivot`. It applies G inverse at the input frame and G at +the final frame, where the paid extension has already arrived. Both +directions are emitted with the literal scalar coefficients. On original +group input u, the internal input is `G^-1 u` and the gathers put the +original pivot input x in an owned buffer A. + +At retirement let v be the current pivot continuation and z the independent +new public input at chart 1031. The literal middle operation leaves x in +the retiring pivot, v in its new continuation and z−x in a second owned +buffer B. The scheduled suffix injections add `d(z−x)` without changing +any other output or COPY guard. After the exit basis the continuing pivot +returns z, since `G(G^-1 u+d(z−x)) = u+e_pivot(z−x)`. The two owned +lifetimes retire explicitly. This is an arbitrary-input identity, +including when v differs from x. + +The common-frame scalar operators act on the normalized complete arrays +at every positive column multiplicity. A MOVE is the exact nested-frame +quotient with its absolute phase, and its tensor lift is one charged child +with two whole-job adapters. The separate native and complete caller +replays check the affected maps, phase, ownership, and exact grids. +The signed caller's 17 stages use the same distinct physical owner and +central-phase bindings as the selected application framework. + +## Complete price change + +The extended helper changes one rank-eight target to rank nine and adds +one paid rank-one child. The causal split then replaces one rank-nine +target with ranks five and four. Thus the net per-native change is +`T4 +1, T5 +1, T8 -1, P1 +1`. All seventeen occurrences are charged. +Rank surplus stays 1,424. For `p=1-C` in `(0,1)`, strict concavity gives +`4^p + 5^p - 8^p - 1 > 0`. The complete directed engines certify the +funded price `C=0.00364489006794007` and conditional +`κ=0.003644890067940`, an exact gain of `482172401/10^15` over #7156. +The original complete invoice has a strictly negative moment at the new +claim. The fixed BIT premise is 0.00376669. + +For a fixed-profile ceiling, hold this exact target invoice and the +seventeen native profiles fixed. The remaining paid rank mass is 109,088. +The most favorable fractional remainder under the ambient cap 145 puts +all that mass at rank 145, because `r^(-C)` decreases in r for positive C. +The early receipt certifies a decreasing relaxed crossing on `[0,1/32]` +and records the rational ceiling bracket and fraction realized. This +relaxation has different hypotheses from the nine-stage equal-target cap. +It bounds the fixed profiles and rank mass stated here. + +The common exact-grid, finite stock, movement, compiler and outer +application follows the [selected #7000/#7001 review](../../docs/research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md) +and the [exact #7156 application review in #7158](https://github.com/CrocSwap/integer-mult-bounds/pull/7158). +Use the regenerated full ordinary and physical bills, common-grid bounds, +precision context and complete outer receipt for this candidate. The +five inherited assumptions remain native_all_columns, owned_erasure, +compiler, precision_tape and analytic_recovery. diff --git a/research/p104-rank8-exit-funded-split/README.md b/research/p104-rank8-exit-funded-split/README.md new file mode 100644 index 0000000000..35239e230f --- /dev/null +++ b/research/p104-rank8-exit-funded-split/README.md @@ -0,0 +1,72 @@ +# Conditional κ = 0.003644890067940 from one funded helper exit + +On the exact [#7156 native word](https://github.com/CrocSwap/integer-mult-bounds/pull/7156), +one paid rank-one exit for helper 133 permits a split at chart 1031. +This increases conditional κ by **0.000000482172401** over #7156. Each +native invocation adds a rank-one paid child and replaces one rank-eight +productive target with ranks four and five. The 17-stage caller is +byte-identical to [#7113](https://github.com/CrocSwap/integer-mult-bounds/pull/7113). +The full invoice has 110,519 paid positions, 22,427 productive fields, +rank surplus 1,424 and zero empty-root credit. + +[PROOF.md](PROOF.md) gives the arbitrary-input identity and exact +budget. [WITNESS.json](WITNESS.json) records both exact boundary vectors, +twelve gathers, five injections and the two stationary intervals. +The full emitted word has canonical SHA256 +`9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3`, +76,349 instructions, 1,499 public fields and 63 owned labels across +66 lifetimes, with peak 48. The exact predecessor archive retains all 33 +files and every nested source and notice. [INPUTS.json](INPUTS.json) binds +the member paths, Git blobs, SHA256 hashes and sizes. The archive was +compared to the directly fetched #7156 Git tree. + +The independent raw crossing lies between +`0.00364489006794007545440786196704391` and +`0.00364489006794007545440786196704392`. Both directed engines reject +the #7156 invoice at the new claim. The relaxed ambient-145 +fixed-profile packing ceiling is between 0.0058056997054336 and +0.0058056997058885. The proposed κ realizes about 62.7812% of that +ceiling. Its assumptions and exact rational bracket are in +[PROOF.md](PROOF.md) and [EARLY-RESULT.json](EARLY-RESULT.json). + +The scope is coordinated in the +[funded-exit claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/1166#discussioncomment-19534677). +The initial stationary screens found no compatible pair on their tested +neutral and one-midpoint domains. The changed boundary admits the rank-eight +exit's coordinate to the rank-nine group. At the chosen chart the +unextended group has zero compatible rational pairing windows. The bounded +funded-exit search stopped at its first literal candidate, after eleven +tested exit/chart cases among 26 eligible exits. No search optimum follows. + +## Reproduce + +```sh +python3.12 -B scripts/research_package.py --package research/p104-rank8-exit-funded-split +``` + +The three registered stages check the exact arbitrary-input source and +prices, native phase/precision/physical obligations, and the complete +signed application. Each stage runs inherited engines in an isolated +private copy and matches its own frozen receipt. The counted adaptations +bind this exact candidate's paid/target profile and owned census. +The standalone `build.py` reproduces every canonical word byte. +The optional `discover.py OUTPUT_DIR --funded-exit` reruns the bounded +nomination from the same archive. [VALIDATION.md](VALIDATION.md) lists +the checked obligations, runtimes and substantive controls. + +## Open next questions + +- Independently check the literal paid exit and the two stationary reads + against the 33 pinned predecessor files, then run the registered package. + The complete application remains conditional on the five framework + assumptions used in the selected result. Human or formal acceptance, + maintainer admission and literal top-level multiplier execution remain + separate obligations. + +## Credit + +Rohan Arun supplied #7156 and the signed caller. This extends the causal +history construction of Ali Romman, CubeJerry, Matarener and dillona and +retains ToikY's pricing lineage. Prepared for Clear1nsight with substantial +OpenAI Codex and ChatGPT Pro assistance. [NOTICE](NOTICE) records the +predecessor and application credit. diff --git a/research/p104-rank8-exit-funded-split/REPLAY.txt b/research/p104-rank8-exit-funded-split/REPLAY.txt new file mode 100644 index 0000000000..7c1e035c4b --- /dev/null +++ b/research/p104-rank8-exit-funded-split/REPLAY.txt @@ -0,0 +1,85 @@ +Linux x86-64, CPython 3.12.3. Direct regeneration of frozen receipts. + +python3.12 -I -B research/p104-rank8-exit-funded-split/verify.py early --out + +PASS_EXACT_NATIVE_AND_PRICE_ONLY 0.00364489006794 +elapsed_seconds=102.75 peak_RSS_kib=373632 exit=0 + +python3.12 -I -B research/p104-rank8-exit-funded-split/verify.py native --out + +PASS whole source/operator, forward/adjoint, causal charts and fresh native grid +caller 0 terms 77 +caller 500 terms 621 +caller 1000 terms 2648 +caller 1500 terms 3619 +caller 2000 terms 1590 +caller 2500 terms 398 +caller 3000 terms 1918 +caller 3500 terms 1797 +caller 4000 terms 1817 +caller 4500 terms 912 +caller 5000 terms 167 +PASS full ingredient invoice, ordinary, precision, both prices and outer gates +events 76349 public 1499 owned roles 63 paid {1: 3999, 2: 853, 3: 829, 4: 225, 5: 344, 6: 14, 7: 10, 8: 5} owned UP {1: 10, 2: 4, 3: 1, 4: 6, 5: 1, 6: 1} helpers {1: 17, 2: 21, 3: 47, 4: 223, 5: 79, 6: 43, 7: 19, 8: 34, 9: 616} +endpoint bad rows 0 odd certificate S 1125 +PASS_HOST3 decoupled ports 96 hosted ports 8 +gate interpreter agrees with the library on 4 exact state vectors +replayed 76349 events, 2950 chart pairs, 35s +prime 1000000009 seed 11: helper rows bad 0 (of 1099), X rows bad 0, Y rows bad 0, X2 rows bad 0, Y2 rows bad 0 (of 104 ports; 96 with second mains) +tableau on 104 ports: XX!=D 0 YY!=D 0 YX!=Q^-1D 0 XY!=QD 0 | controls matching (must be 0): 0 0 +PASS_PHYSICAL 47s +PASS affected Gaussian chart columns, phase, corruption controls and finite physical replay +PASS_FUNDED_EXIT_NATIVE 911067519191/250000000000000 +elapsed_seconds=333.05 peak_RSS_kib=662468 exit=0 + +python3.12 -I -B research/p104-rank8-exit-funded-split/verify.py caller --out + +PASS two reconstructed invoices and both exact price engines 0.00364489006794 +RUN emit_odd_type_b.py +caller 0 terms 41 +caller 500 terms 1178 +caller 1000 terms 2699 +caller 1500 terms 1262 +caller 2000 terms 881 +caller 2500 terms 2484 +caller 3000 terms 765 +caller 3500 terms 640 +caller 0 terms 41 +caller 500 terms 1178 +caller 1000 terms 2701 +caller 1500 terms 1264 +caller 2000 terms 881 +caller 2500 terms 2485 +caller 3000 terms 765 +caller 3500 terms 641 +PASS exact short type B 3877 events Counter({8: 34, 9: 4, 56: 4, 48: 4, 40: 4, 32: 4, 24: 4, 16: 4, 64: 2}) +RUN emit_odd_type_ab.py +caller 0 terms 73 +caller 500 terms 1076 +caller 1000 terms 2476 +caller 1500 terms 1334 +caller 2000 terms 2078 +caller 2500 terms 1235 +caller 3000 terms 2978 +caller 3500 terms 2335 +caller 4000 terms 1046 +caller 4500 terms 299 +PASS exact short A+B 4783 events 3752 ['36448900679400754544078619670439/10000000000000000000000000000000000', '911222516985018863601965491761/250000000000000000000000000000000'] +RUN check_odd_caller_exact_grid.py +PASS odd caller grid [381, 69, 62] [381, 3, 2] scale bits 10 checked 176874 +RUN check_odd_physical_binding.py +PASS exact physical binding 110519 13600 22427 +RUN check_odd_precision.py +PASS short precision 406 1215 2430 +RUN check_odd_partial_admission.py +ordinary bill 782129100 +PASS partial signed short gates 782129100 182244503397/50000000000000 {'strict_count': 54, 'functional_count': 4, 'minimum_margin': '1/1000000000000000000', 'BIT_just_below_effective_rejected': True} +RUN check_odd_fixed_tape_counts.py +PASS finite tariff substitution 43760000 25471767360 precision 2430 +RUN complete catalogue 0 1000 +RUN complete catalogue 1000 2000 +RUN complete catalogue 2000 3000 +RUN complete catalogue 3000 3036 +PASS complete 8+9 component application checks 182244503397/50000000000000 3036 110519 +PASS_FUNDED_EXIT_CONTINUATION 182244503397/50000000000000 +elapsed_seconds=385.74 peak_RSS_kib=352824 exit=0 diff --git a/research/p104-rank8-exit-funded-split/RESULT.json b/research/p104-rank8-exit-funded-split/RESULT.json new file mode 100644 index 0000000000..60edfac362 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/RESULT.json @@ -0,0 +1,1599 @@ +{ + "adapter": { + "adapted_sha256": { + "check_odd_partial_admission.py": "de75cd93b9bfffb2a13781209435d31a84edd97f0fe313d3ecb9542ce8383dac", + "check_odd_precision.py": "59d811dd0eddca0a761e935341e7bee51cf66b9d9481ce8eb500c9ae5723bbcb", + "emit_odd_type_ab.py": "6fd9f61f9ba6c726524d1a585d0201b0eac61829ccae6be598f0f0fc1cb64f1a" + }, + "edits": [ + { + "file": "emit_odd_type_ab.py", + "new": "invoice=json.loads((root/\"COHORT-PRICE.json\").read_text())", + "old": "invoice=next(x for x in json.loads((root/\"SHORT-CALLER-RAW-PRICE.json\").read_text())[\"rows\"] if tuple(x[\"shape\"])==shape)" + }, + { + "file": "check_odd_partial_admission.py", + "new": "actual_native=ind.native(w)\nassert actual_native==N and not N[\"bad_inputs\"], \"Fresh complete native inventory and arbitrary-input adjoint\"", + "old": "previous=json.loads((root/\"SHORT-ADMISSION-PARTIAL.json\").read_text())\nassert previous[\"native_sha256\"]==digest and not N[\"bad_inputs\"]" + }, + { + "file": "check_odd_partial_admission.py", + "new": "claim=Q('0.00364489006794')", + "old": "claim=Q(\".00363797977\")" + }, + { + "file": "check_odd_partial_admission.py", + "new": "tested=claim+Q(7,10**17)\nwhile tested>=Q(reference[\"raw_bracket\"][0]):\n tested=claim+(tested-claim)/10", + "old": "tested=claim+Q(7,10**17)" + }, + { + "file": "check_odd_partial_admission.py", + "new": "g=gate(invoice,claim,tested,*bracket,r[\"gate\"][\"BIT_pin\"])\ntry:\n gate(invoice,claim,Q(bracket[0]),*bracket,r[\"gate\"][\"BIT_pin\"])\nexcept AssertionError:\n crossing_probe_rejected=True\nelse:\n raise AssertionError(\"Probe at lower crossing unexpectedly accepted\")", + "old": "g=gate(invoice,claim,tested,*bracket,r[\"gate\"][\"BIT_pin\"])" + }, + { + "file": "check_odd_partial_admission.py", + "new": "\"crossing_probe_rejected\":crossing_probe_rejected,\"scope\":\"Fresh exact current native arbitrary-input adjoint;", + "old": "\"scope\":\"Reuse exact same native word all-column adjoint;" + }, + { + "file": "check_odd_precision.py", + "new": "patch('(life, peak, owned_count) == (54, 43, 51)','(life, peak, owned_count) == (66, 48, 63)')\nenv=ModuleType(\"short_envelope\")", + "old": "env=ModuleType(\"short_envelope\")" + }, + { + "file": "check_odd_precision.py", + "new": "", + "old": "previous=json.loads((root/\"SHORT-PRECISION.json\").read_text())" + }, + { + "file": "check_odd_precision.py", + "new": "assert grid_receipt[\"caller_sha256\"]==sha256(cpath.read_bytes()).hexdigest()", + "old": "assert previous[\"native_sha256\"]==sha and grid_receipt[\"caller_sha256\"]==sha256(cpath.read_bytes()).hexdigest()" + }, + { + "file": "check_odd_precision.py", + "new": "wg=grid.word_run(w, frac=25)\nwp,wr=env.native_envelope(w)\nwg=json.loads(json.dumps(wg,default=str));wr=json.loads(json.dumps(wr,default=str))\nassert wg==r[\"precision\"][\"word\"] and wr==r[\"precision\"][\"rounded_native\"], \"Fresh changed-native grid and envelope\"", + "old": "wg=previous[\"native_grid\"]\nwr=previous[\"rounded_native\"]\nwp={key:(Q(v[\"exact\"]),v[\"witness\"]) for key,v in wr[\"bounds\"].items()}" + } + ] + }, + "caller_sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc", + "catalogue": [ + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "430c467e9c73ef00ddc325b7cf95aba8a34187f362eae67791aafd26b117e4b9", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 0, + "slice_stop": 1000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "2cae048f253c10a701476eaa4486931f22766daf994d44d80688b0f8f2fc530f", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 1000, + "slice_stop": 2000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "c8524029578adf6749ecc9b72b848a9933ea23b54951d7349c0614c18603fea9", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 2000, + "slice_stop": 3000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 36, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "01651736571052e77f70be25553d3f726b5325a89c93cb9459a54c3634ee1f38", + "main_boundary_digest": "ad959887c990b8862a0e60db3f53d5195a1c9d667c1593f0101adc8db18f27fa", + "main_boundary_pairs": 104, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 3000, + "slice_stop": 3036, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + } + ], + "checks": { + "ODD-8X9-APPLICATION-CHECKS.json": { + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "caller_sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc", + "candidate": "182244503397/50000000000000", + "catalogue": [ + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "430c467e9c73ef00ddc325b7cf95aba8a34187f362eae67791aafd26b117e4b9", + "log_sha256": "935d09f384d976a4abe11403eb0213e1f42e68dffb5467b2fdff7635473e68e9", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 0, + "slice_stop": 1000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "2cae048f253c10a701476eaa4486931f22766daf994d44d80688b0f8f2fc530f", + "log_sha256": "463a21775a829fdb699fa5f6eaa73026bb9043f668b612717b6c496956864b34", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 1000, + "slice_stop": 2000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 1000, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "c8524029578adf6749ecc9b72b848a9933ea23b54951d7349c0614c18603fea9", + "log_sha256": "e59a6f7fdab5722a88432a4c0ac5109e50edd2f7ad3f76861f6354c467383275", + "main_boundary_digest": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945", + "main_boundary_pairs": 0, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 2000, + "slice_stop": 3000, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + }, + { + "catalogue_digest": "789580be599f2c712cda0ef0622d3fff6c86bf1ffdcd49c73b2f7f839aae5f23", + "catalogue_size": 3036, + "checked_maps": 36, + "distinct_helper_maps": 187, + "distinct_paid_maps": 2950, + "exact_recipe_digest": "01651736571052e77f70be25553d3f726b5325a89c93cb9459a54c3634ee1f38", + "log_sha256": "691b3eed53d1c03b06f8361effe1f6db74ea2a7fe7bfc983437a0857cb3b5cd5", + "main_boundary_digest": "ad959887c990b8862a0e60db3f53d5195a1c9d667c1593f0101adc8db18f27fa", + "main_boundary_pairs": 104, + "phase_control_rejected": true, + "scope": "Complete signed Pauli action plus exact Gaussian global phase; for Clifford maps these determine every matrix column. Generic tensor-product and physical grammar application is written in the review. No random-field substitution.", + "slice_start": 3000, + "slice_stop": 3036, + "status": "PASS_CURRENT_NATIVE_CATALOGUE_SLICE", + "word_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2" + } + ], + "fixed_tape_counts": { + "H": 16510400000000000000000, + "Kstar_bits": 14093, + "actual_ambient": 145, + "caller_odd_scale": 675, + "caller_sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc", + "common_grid": { + "fractional": "p+D", + "signed_width": "p+h+2D+3", + "temp_padding": 26 + }, + "compiler_ambient_cap": 153, + "context_bound_bits": 14104, + "context_c": 2430, + "elementary_records_per_map_upper": 85264, + "elementary_records_upper": 25471767360, + "log_power": 2237, + "max_scalar_numerator_bits": 24, + "monomial_map_slots": 298740, + "native_invocations": 17, + "native_sha256": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3", + "owned_banks_per_raw_occurrence": 1071, + "scalar_macro_inputs": { + "caller": 117856, + "conversions": 58454, + "native": 1191190 + }, + "scalar_services_upper": 43760000, + "scalar_steps_coefficient": 45885685760000, + "scope": "Exact finite-cost and common-format substitutions in the selected #7000 conditional application proof, using the conservative primitive movement and scalar constants there. The premise is the complete signed native/physical binding and retained compiler, BIT, stock, and outer contracts. This script counts the raw occurrence, not an enumerated top-level compiled multiplier.", + "tested_claim": "182244503397/50000000000000" + }, + "native_archive_sha256": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2", + "native_canonical_sha256": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3", + "numeric_gate": { + "BIT_margin": "12179993205993/100000000000000000", + "BIT_pin": "376669/100000000", + "H": "16510400000000000000000", + "alpha": [ + 1.0, + 1.0 + ], + "claim": "182244503397/50000000000000", + "compiler_gap": "1/100000000000000000", + "delta": [ + 0.9066684778947387, + 0.9066684778947387 + ], + "derivative_upper": -381691.382745105, + "gamma": [ + 0.9407507620286742, + 0.9407507620286742 + ], + "input_lift": { + "derivative_upper_on_required_interval": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "interval_kappa_cap": "376669/100000000", + "margins": { + "182244503397/50000000000000": [ + "12435616268822964624108204151994732023643370358542418433979015630224454754777/10000000000000000000000000000000000000000000000000000000000000000000000000000000", + "124356162688229646241082041519947320236433703585424184339790156302244547549693/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ], + "364489006794007/100000000000000000": [ + "31089040672057983150912632412500092401132902361597748561959244574623506755013/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "31089040672057983150912632412500092401132902361597748561959244574623506755499/25000000000000000000000000000000000000000000000000000000000000000000000000000000" + ] + }, + "source_BIT_wide_crude_bound_would_be": 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"targets": { + "1": 289, + "137": 208, + "17": 416, + "2": 357, + "25": 416, + "3": 799, + "33": 416, + "4": 3791, + "41": 416, + "49": 416, + "5": 1343, + "57": 416, + "6": 731, + "65": 416, + "7": 323, + "73": 208, + "8": 578, + "9": 10888 + } + }, + "scope": "Conditional component application to the exact 8+9 source with the selected completed BIT predecessor and inherited five assumptions. Checks every normalized endpoint, every paid/helper nested chart map up to exact signed Pauli and absolute phase, caller occurrence/phase, precision, finite scalar and route bounds, and numeric gates. Does not run a compiled Turing machine, select an upstream frontier, or claim human/formal review.", + "source_unit_ordinary": { + "all_caller_scalar_surcharge": 2248928, + "caller_items": { + "A": { + "envelope": 102076416, + "field_boundary": 89856, + "fused_routes": 0, + "idle_routes": 170112000, + "output_routes": 213120000, + "query_routes": 1152000, + "thin": 6144 + }, + "B": { + "envelope": 35730432, + "field_boundary": 7488, + "fused_routes": 1168000, + "idle_routes": 18016000, + "output_routes": 17760000, + "query_routes": 0, + "thin": 0 + } + }, + "caller_total": 559238336, + "charged_caller_odd_conversions": 479232, + "conservative_total": 782129100, + "init_clear_allowance": 264, + "lambda_paid_rank1_would_reduce_S_by": 11280, + "lambda_second_charge": 11280000, + "margin_to_billion": 217870900, + "odd_divisions": { + "ADD": 5829, + "SCALE": 71 + }, + "per_input_conversion": 2650232, + "raw_upper": 765470708, + "route_items": { + "first_main_adapter": 416, + 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"26281394204471659888223645870046127062271058529103906740924080498292768335410526105784514321102978706962592713956752093599490780744495562301020762433/3028147527897511472958985459201159987200000000000000000000", + "residual_mass": "25644756641309773204499715182067154753640655532996075189246670424342881345155813487719928577675093971877014167583684151460219920536239411929200177/42583324611058755088485733020016312320000000000000000000" + }, + "M": { + "active_residual_sites": 26545, + "entrance_mass": "26281394204471659888223645870046127062271058529103906740924080498292768335410526105784514321102978706962592713956752093599490780744495562301020762433/3028147527897511472958985459201159987200000000000000000000", + "residual_mass": "25644756641309773204499715182067154753640655532996075189246670424342881345155813487719928577675093971877014167583684151460219920536239411929200177/42583324611058755088485733020016312320000000000000000000" + }, + "Sigma": { + "active_residual_sites": 26545, + "entrance_mass": "26281394204471659888223645870046127062271058529103906740924080498292768335410526105784514321102978706962592713956752093599490780744495562301020762433/3028147527897511472958985459201159987200000000000000000000", + "residual_mass": "25644756641309773204499715182067154753640655532996075189246670424342881345155813487719928577675093971877014167583684151460219920536239411929200177/42583324611058755088485733020016312320000000000000000000" + } + } + }, + "scope": "Fixed integer Laurent grid with charged odd caller scale, and pinned attributed forward/adjoint all-fibre defect engine applied to the emitted 17-stage caller. Each LAMBDA, QUERY and signed/unsigned idle is one unitary with one child defect. The caller allocation assumes independent stage helpers. Full physical application remains separate." + }, + "ODD-TYPE-AB-REPLAY.json": { + "caller_sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc", + "paid": { + "1": 68367, + "16": 416, + "2": 14501, + "24": 416, + "3": 14093, + "32": 416, + "4": 3825, + "40": 416, + "48": 416, + "5": 5848, + "56": 416, + "6": 238, + "64": 208, + "7": 170, + "8": 741, + "9": 32 + }, + "raw_bracket": [ + "36448900679400754544078619670439/10000000000000000000000000000000000", + "911222516985018863601965491761/250000000000000000000000000000000" + ], + "replay": { + "bad_outputs": [], + "caller_denominator_height_bound": 578, + "caller_mass_bound": "854474036861847560509026474008040300059938928517783661039773198072080884690114508581583887358835968277340425788985297793555303569703690223623950838857161290503004459697662544865276977234864184443860251086668962688762176068520364648820282528496698239206689277049335412289161443623602012468587331439851515703/168151253906250000000000000000000", + "caller_mass_ceiling_bits": 910, + "max_terms": 3752 + }, + "scope": "Exact emitted signed Laurent caller endpoint and recomputed native/caller paid and target profiles. Physical address bindings, independent branch-source composition, ordinary units, precision and outer gates are still required.", + "shape": [ + 8, + 9 + ], + "source_word_sha256": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3", + "target": { + "1": 289, + "137": 208, + "17": 416, + "2": 357, + "25": 416, + "3": 799, + "33": 416, + "4": 3791, + "41": 416, + "49": 416, + "5": 1343, + "57": 416, + "6": 731, + "65": 416, + "7": 323, + "73": 208, + "8": 578, + "9": 10888 + } + } + }, + "claim": "182244503397/50000000000000", + "price": { + "after": { + "P": { + "1": 68367, + "16": 416, + "2": 14501, + "24": 416, + "3": 14093, + "32": 416, + "4": 3825, + "40": 416, + "48": 416, + "5": 5848, + "56": 416, + "6": 238, + "64": 208, + "7": 170, + "8": 741, + "9": 32 + }, + "S": 1424, + "T": { + "1": 289, + "137": 208, + "17": 416, + "2": 357, + "25": 416, + "3": 799, + "33": 416, + "4": 3791, + "41": 416, + "49": 416, + "5": 1343, + "57": 416, + "6": 731, + "65": 416, + "7": 323, + "73": 208, + "8": 578, + "9": 10888 + }, + "empty_root_credits": 0, + "no_E_credit_crossing": "0.0036448900679400754544078619670439199509193901914957386128030283655", + "raw_crossing": "0.0036448900679400754544078619670439199509193901914957386128030283655" + }, + "before": { + "P": { + "1": 68350, + "16": 416, + "2": 14501, + "24": 416, + "3": 14093, + "32": 416, + "4": 3825, + "40": 416, + "48": 416, + "5": 5848, + "56": 416, + "6": 238, + "64": 208, + "7": 170, + "8": 741, + "9": 32 + }, + "S": 1424, + "T": { + "1": 289, + "137": 208, + "17": 416, + "2": 357, + "25": 416, + "3": 799, + "33": 416, + "4": 3774, + "41": 416, + "49": 416, + "5": 1326, + "57": 416, + "6": 731, + "65": 416, + "7": 323, + "73": 208, + "8": 595, + "9": 10888 + }, + "empty_root_credits": 0, + "no_E_credit_crossing": "0.0036444078955399752291473031465479694211600421312227856343702575978", + "raw_crossing": "0.0036444078955399752291473031465479694211600421312227856343702575978" + }, + "gate": { + "BIT_margin": "12179993205993/100000000000000000", + "BIT_pin": "376669/100000000", + "H": "16510400000000000000000", + "alpha": [ + 1.0, + 1.0 + ], + "claim": "182244503397/50000000000000", + "compiler_gap": "1/100000000000000000", + "delta": [ + 0.9066684778947387, + 0.9066684778947387 + ], + "derivative_upper": -381691.382745105, + "gamma": [ + 0.9407507620286742, + 0.9407507620286742 + ], + "input_lift": { + "derivative_upper_on_required_interval": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "interval_kappa_cap": "376669/100000000", + "margins": { + "182244503397/50000000000000": [ + "12435616268822964624108204151994732023643370358542418433979015630224454754777/10000000000000000000000000000000000000000000000000000000000000000000000000000000", + "124356162688229646241082041519947320236433703585424184339790156302244547549693/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ], + "364489006794007/100000000000000000": [ + "31089040672057983150912632412500092401132902361597748561959244574623506755013/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "31089040672057983150912632412500092401132902361597748561959244574623506755499/25000000000000000000000000000000000000000000000000000000000000000000000000000000" + ] + }, + "source_BIT_wide_crude_bound_would_be": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + "minimum_log_power": 2236, + "moment_margin_float": { + "364489006794007/100000000000000000": [ + 2.1150234102748054e-12, + 2.1150234102748054e-12 + ], + "36448900679400754544078619670439/10000000000000000000000000000000000": [ + 7.73624976984083e-30, + 7.73624976984083e-30 + ], + "911222516985018863601965491761/250000000000000000000000000000000": [ + -3.104015756527284e-29, + -3.104015756527284e-29 + ] + }, + "moment_margins": { + "364489006794007/100000000000000000": [ + "211502341027480531553379384024870327589034622358366451274129769433559/100000000000000000000000000000000000000000000000000000000000000000000000000000000", + "211502341027480531553379384024870327589034622358366451274129808297531/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ], + "36448900679400754544078619670439/10000000000000000000000000000000000": [ + "773624976984082980223062771948247773718705008389919/100000000000000000000000000000000000000000000000000000000000000000000000000000000", + "773624976984082980223062771948247773718705047289897/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ], + "911222516985018863601965491761/250000000000000000000000000000000": [ + "-3104015756527283602766646092015489002158505106995697/100000000000000000000000000000000000000000000000000000000000000000000000000000000", + "-3104015756527283602766646092015489002158505068342321/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ] + }, + "outer": { + "BIT_just_below_effective_rejected": true, + "functional_count": 4, + "minimum_margin": "1/1000000000000000000", + "strict_count": 54 + }, + "raw_bracket": [ + "36448900679400754544078619670439/10000000000000000000000000000000000", + "911222516985018863601965491761/250000000000000000000000000000000" + ], + "tested": "364489006794007/100000000000000000", + "written_log_power": 2237 + }, + "native_baseline_rejects_new_claim": true, + "new_native": "9eff91418d838f1ffa20fe5c5975dc2c43a79b32d501fcbe30b90c50a7b11ce3", + "old_native": "b012295cfe44d204c2724fe544731ac17aa969e06e33043496ac7a1c91a912b3", + "price": { + "baseline_rejects_new_claim": true, + "candidate_margin_at_old_upper": [ + "2337116490365366956039289279110037307025889205276376707432293767001594532441593/12500000000000000000000000000000000000000000000000000000000000000000000000000000", + "18696931922922935648314314232880298456207113642211013659458350136012756293809623/100000000000000000000000000000000000000000000000000000000000000000000000000000000" + ], + "claim_decimal": "0.00364489006794", + "gain": "4.82172401E-7", + "gain_exact": "482172401/1000000000000000", + "independent_raw_bracket": [ + "0.00364489006794007545440786196704391", + "0.00364489006794007545440786196704392" + ], + "previous_claim": "3644407895539/1000000000000000", + "raw_bracket": [ + "0.0036448900679400754544078619670439", + "0.003644890067940075454407861967044" + ] + } + }, + "status": "PASS_FUNDED_EXIT_CONTINUATION" +} diff --git a/research/p104-rank8-exit-funded-split/SOURCES.json b/research/p104-rank8-exit-funded-split/SOURCES.json new file mode 100644 index 0000000000..8afe96903b --- /dev/null +++ b/research/p104-rank8-exit-funded-split/SOURCES.json @@ -0,0 +1,30 @@ +{ + "schema_version": 1, + "base_commit": "e54523517d0f03e58352e647c403a5af3e525a57", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "75d77b328ea02ded535e7f23aee5b1e55d0bb1a8", + "sha256": "154c3d30455d778fd3343b6b4851f0fa4665f0f7625b0adb3675e2bafbbf6bf1" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "3404fbdd5e7529a0674eef26114b5071e4586cec", + "sha256": "ead6cdc9d0af6d58e8a49744d8ec8c7c15e13d2ba93c276c434bcf9b51b93a81" + }, + { + "path": "docs/research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md", + "usage": "provenance", + "git_blob": "3dd1af2285e597676725e85ad4f65e7ad326d695", + "sha256": "4501502c2ceb9759b20372435fe4beb51082c5a5e2910c1fd5dbe6edca415055" + }, + { + "path": "research/final4610-independent-admission/checks/outer.py", + "usage": "provenance", + "git_blob": "39e62cac780b662903582cb5f8684990fa779bb3", + "sha256": "196be1bc2329500f2c7c995deaf5a82aecc5e27f0fef7805470cb65d187bb1c0" + } + ] +} diff --git a/research/p104-rank8-exit-funded-split/TASK.json b/research/p104-rank8-exit-funded-split/TASK.json new file mode 100644 index 0000000000..b28db4134d --- /dev/null +++ b/research/p104-rank8-exit-funded-split/TASK.json @@ -0,0 +1,117 @@ +{ + "schema_version": 1, + "task_id": "p104-side-correction", + "priority_revision": 8, + "base_commit": "e54523517d0f03e58352e647c403a5af3e525a57", + "original_card": { + "id": "p104-side-correction", + "question": "Can joint helper bases and a legal causal split improve the complete P104 productive/paid invoice?", + "starting_points": [ + "docs/research/current-priorities.md", + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "research/p104-helper-subspace-splits/README.md", + "research/dyadic-helper-channel-capacity/README.md" + ], + "methods": [ + "Construct and independently check one source-bound instance of the stated first experiment.", + "Seek an exact counterexample or target-specific complete-budget obstruction to that same proposed change." + ], + "acceptance_gate": "An exact arbitrary-input identity, source/target frame availability and restoration at the chosen cut, plus the complete channel+correction+idle/hosting bill or an explicit favorable bound. The native channel alone is not a supplier. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_selected_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read revision 8, the selected review and live exact-source handoffs. Then follow this card's bounded first_experiment.", + "scope": "Source-bound orientation only, not a supplier replay or theorem proof." + }, + "first_experiment": "Start with the selected #5599 emitted word and review pending #5718 distinct input/output bases plus #5717/#5719 coverage before claiming work. Pick one uncovered source word, helper group and cut region. Prove the arbitrary-input relation and legal entry/exit corrections, then compare full target and paid profiles. Reject if completion, owned lifetimes or consumer costs repay the gain. A static pairing rank alone is not a physical split.", + "bottleneck_link": "Judge the actual current supplier contract and complete signed target/paid bill; frozen-profile ceilings require an applicability proof.", + "allowed_variations": [ + "One exact source head, helper/cut region or quantified proposition and changed hypothesis; check live handoffs first. Different seeds are not different scopes." + ], + "scope_change_triggers": [ + "Changing source head, helper/cut domain, operation alphabet or caller boundary without recording the new scope.", + "Treating an archived proposal or local numerical pass as complete supplier admission." + ], + "overlap_terms": [ + "P104", + "helper basis", + "helper split", + "5718", + "dyadic capacity" + ], + "existing_checks": [ + { + "scope": "PR #4133: literal-slot defect", + "evidence": "research/p104-literal-slot-defect/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "88666f1dee93fbd85b31fd5d6f91a219e111b5f4", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4136: uniform commutation gap", + "evidence": "research/p104-uniform-commutation-gap/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "281ce601a8be9db470de630759179c23e1dfaa88", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4140: uniform encoding gap", + "evidence": "research/p104-uniform-encoding-gap/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "de25c6525aa866962309df5d107b32d55e6e5628", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4153: source-chart shortcut exhausts its optimistic allowance", + "evidence": "research/p104-source-chart-shortcut/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "9123241fea53df77e51ffe30d9aca1625d4bf3a8", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #4154: fiber-tag seam mismatch", + "evidence": "research/p104-fiber-tag-seam/README.md", + "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.", + "status": "author-checked", + "source_commit": "4ffcdaee5d6255a9cea1fe53a5424435068089d0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "Selected PR5599: complete helper-subspace construction and independent caller replay; five framework assumptions remain.", + "evidence": "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "remaining": "The next experiment must identify uncovered source-specific work. Successor archive intake does not transfer this admission.", + "status": "reviewed", + "source_commit": "09dd0965711ca7eeb169057a420abab1c9052137", + "selected_record_sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5" + } + ] + }, + "scope_status": "refined", + "actual_scope": "One final paid rank-one MOVE for role 133 in the exact #7156 word and one new arbitrary-input causal split at chart 1031 using the unchanged signed 17-stage #7113 caller.", + "scope_change_reason": "The two bounded stationary-only searches had zero compatible rational pairs in their tested domains. Admit one rank-eight exit to the complete helper boundary with its rank-one payment, then require a strictly better complete price and full replay.", + "bottleneck_link": "The exit extension supplies the missing group coordinate in both exact temporal functionals. The fully charged profile has a higher conditional kappa.", + "budget_minutes": 60, + "stop_rule": "First literal nominee from 26 rank-eight exit extensions, original cut ranks 2\u20137, with complete source, ownership, price and native/caller replay before publication.", + "outcome": "completed", + "evidence": "PROOF.md, WITNESS.json, PATHS.json and all three exact stage receipts. The funded price and candidate improvement are certified by two directed engines.", + "author": "Clear1nsight", + "ai_assistance": "Substantial OpenAI Codex and verified ChatGPT Pro consultation. Pro audited temporal availability and COPY guards. Codex ran the bounded screens and verified the exact candidate.", + "open_questions": [ + { + "question": "Can the exact funded exit be independently reproduced?", + "why_it_matters": "The charged source path gives a higher conditional bound than the complete #7156 invoice.", + "first_step": "Check the exact extension and guard certificate, then run the registered package.", + "blocked_by": "Independent mathematical review under the five inherited assumptions." + } + ] +} diff --git a/research/p104-rank8-exit-funded-split/VALIDATION.md b/research/p104-rank8-exit-funded-split/VALIDATION.md new file mode 100644 index 0000000000..b858af91de --- /dev/null +++ b/research/p104-rank8-exit-funded-split/VALIDATION.md @@ -0,0 +1,26 @@ +# Source-bound replay evidence + +The literal constructor regenerated the full canonical word. The +funded-exit discovery also reproduced the exact witness and paths from +a separate copied archive. Each scientific stage ran in a private +temporary directory on Linux x86-64 with CPython 3.12.3. + +| Stage | Elapsed seconds | Peak RSS KiB | +|---|---:|---:| +| Exact adjoint, prices and fixed-profile ceiling | 102.75 | 373632 | +| Full native, precision and physical checks | 333.05 | 662468 | +| Complete signed caller, catalogue, costs and outer gates | 385.74 | 352824 | + +All three exited zero. [REPLAY.txt](REPLAY.txt) preserves the direct +outputs. The registered entry point compares every field in the three +frozen receipts. The early checks reject an omitted or wrong-frame exit, +a false stationary chart, an interior MOVE masquerading as a stationary +window, and post-CLEAR access. The full native stage retains the guarded +COPY mutation, wrong boundary coefficient, public erasure, extra owned +lifetime, insufficient grids and absolute-phase mutations. The +unchanged signed caller's physical binding rejects aliased ownership. +Both exact prices reject the old invoice at the new claim. + +The fixed source-profile result remains conditional under the five +inherited premises. Maintainer review, independent human or formal +acceptance, and literal top-level multiplier execution remain open. diff --git a/research/p104-rank8-exit-funded-split/VERIFY.json b/research/p104-rank8-exit-funded-split/VERIFY.json new file mode 100644 index 0000000000..a02fbed5a6 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/VERIFY.json @@ -0,0 +1,42 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py", + "early" + ], + "timeout_seconds": 180, + "checks": "Exact source, full candidate arbitrary-input adjoint, omitted exit and literal stationary controls, both directed prices, fixed-profile packing cap and complete receipt." + }, + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py", + "native" + ], + "timeout_seconds": 510, + "checks": "Complete native forward/adjoint and timed guarded proof, fresh exact grid, owned census, affected 512-column chart and phase maps, native ordinary and precision, finite physical checks and complete receipt." + }, + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py", + "caller" + ], + "timeout_seconds": 510, + "checks": "Exact 17-stage caller and complete paid/helper catalogue, absolute phase and main boundaries, all costs and grids, both prices and 54+4 outer guards with complete receipt." + } + ] +} diff --git a/research/p104-rank8-exit-funded-split/WITNESS.json b/research/p104-rank8-exit-funded-split/WITNESS.json new file mode 100644 index 0000000000..1f995a1125 --- /dev/null +++ b/research/p104-rank8-exit-funded-split/WITNESS.json @@ -0,0 +1,201 @@ +{ + "frame": 1031, + "cut": 42379, + "pivot": 1336, + "ranks": [ + 5, + 4 + ], + "c": { + "1008": "-11", + "688": "27/8", + "270": "-3", + "1331": "-3/2", + "1235": "3/2", + "1207": "-3/2", + "1284": "2", + "1234": "105/16", + "1032": "15/2", + "1030": "-105/4", + "671": "-15/4", + "497": "1/2", + 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+1,69 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Emit the frozen candidate from its exact parent and literal witness.""" + +from collections import Counter +from pathlib import Path +import argparse +import gzip +import json +import sys + +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +from replay_checks import check_stationary, extend_exit +from replay_sources import canonical, need, parent_archive, predecessor, read + + +def profile(old, new, hit): + live = set() + peak = lives = 0 + for e in new["program"]: + if e[0] == "INIT": + need(e[1] not in live, "Fresh owned life") + live.add(e[1]) + lives += 1 + peak = max(peak, len(live)) + elif e[0] == "CLEAR": + live.remove(e[1]) + need(not live, "All owned lives retired") + paid = Counter(abs(len(new["frames"][e[3]])-len(new["frames"][e[2]])) + for e in new["program"] if e[0] == "MOVE") + paid.subtract(abs(len(old["frames"][e[3]])-len(old["frames"][e[2]])) + for e in old["program"] if e[0] == "MOVE") + delta = Counter(hit["ranks"]) + delta[8] -= 1 + need({r: n for r, n in paid.items() if n} == {1: 1}, "Exactly one paid exit rank added") + need(new["public"] == old["public"]+1 and new["owned_fields"] == old["owned_fields"]+2, + "One extra arbitrary public field and two owned labels") + return dict(lifetimes=lives, peak=peak, owned=new["owned_fields"], events=len(new["program"]), + added_events=len(new["program"])-len(old["program"]), public=new["public"], + target_delta=dict(sorted(delta.items())), paid_delta={1: 1}) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--write", action="store_true", help="Write new frozen word and profile files") + args = parser.parse_args() + hit = read(HERE / "WITNESS.json") + with parent_archive() as parent: + sys.path.insert(0, str(parent)) + from construct import construct + old = predecessor(parent) + check_stationary(old, hit) + word = construct(extend_exit(old, hit), hit, read(HERE / "PATHS.json")) + census = profile(old, word, hit) + if args.write: + with (HERE / "WORD.json.gz").open("xb") as out: + out.write(gzip.compress(canonical(word), mtime=0)) + with (HERE / "PROFILE.json").open("x") as out: + json.dump(census, out, indent=2, sort_keys=True) + out.write("\n") + else: + need(canonical(word) == canonical(read(HERE / "WORD.json.gz")), "Full regenerated word") + need(json.loads(json.dumps(census)) == read(HERE / "PROFILE.json"), "Exact emitted census") + print("PASS_LITERAL_FUNDED_EXIT_WORD", census) + + +if __name__ == "__main__": + main() diff --git a/research/p104-rank8-exit-funded-split/discover.py b/research/p104-rank8-exit-funded-split/discover.py new file mode 100644 index 0000000000..e50db34b9f --- /dev/null +++ b/research/p104-rank8-exit-funded-split/discover.py @@ -0,0 +1,373 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Find causal pairings from literal stationary and retimable observations. + +Retiming and temporal elimination follow the credited #7156 lineage. The +changed pool adds complete live zero-MOVE intervals and guards same-cut COPY. +A nomination is an input to the whole-word and complete-caller replays. +""" + +import argparse +from collections import Counter, defaultdict +from fractions import Fraction as Q +from pathlib import Path +import json +import sys + +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +from replay_sources import need, parent_archive, predecessor + + +def add(dst, src, scale): + for k, v in src.items(): + value = dst.get(k, 0) + v*scale + if value: + dst[k] = value + else: + dst.pop(k, None) + + +def span(basis): + out = {0} + for a in basis: + need(a not in out, "Independent axes") + out |= {a ^ v for v in out} + return out + + +def affected(event): + return event[1:3] if event[0] in ("ADD", "COPY") else event[1:2] + + +def windows(word, charts): + events = word["program"] + live = {r: (0, f, []) for r, f in enumerate(word["initial"])} + neutral, movers = defaultdict(list), [] + + def close(role, hi): + lo, a, indices = live[role] + if indices: + frames = [a, *(events[j][3] for j in indices)] + path = dict(role=role, lo=lo, hi=hi, moves=indices, frames=frames) + movers.append(path) + for f in sorted(set(frames) & charts): + neutral[f].append(path | {"frame": f}) + elif a in charts: + neutral[a].append(dict(role=role, lo=lo, hi=hi, frame=a, stationary=True)) + return events[indices[-1]][3] if indices else a + + for i, e in enumerate(events): + op, r = e[:2] + if op == "INIT": + need(r not in live, "Fresh owned interval") + live[r] = i+1, e[2], [] + elif op == "MOVE": + live[r][2].append(i) + else: + for owner in affected(e): + f = close(owner, i) + need(f == e[-1], "Literal contact chart") + live[owner] = i+1, f, [] + if op == "CLEAR": + del live[r] + for role in live: + need(role < word["public"] and close(role, len(events)) == word["final"][role], "Literal final chart") + return neutral, movers + + +def affordable_paths(word, charts, movers, spaces, cap, descending_owned): + ranks = list(map(len, word["frames"])) + n = word["public"] + proposals = [] + for path in movers: + if len(path["moves"]) != 1: + continue + a, b = path["frames"] + owned = path["role"] >= n + if owned and (not descending_owned or ranks[b] >= ranks[a]): + continue + rank = abs(ranks[b]-ranks[a]) + if not 2 <= rank <= 8: + continue + for f in sorted(charts - {a, b}): + if spaces[a] < spaces[f] < spaces[b] or (owned and spaces[b] < spaces[f] < spaces[a]): + legs = [abs(ranks[f]-ranks[a]), abs(ranks[b]-ranks[f])] + proposal = path | dict(frame=f, old=a, new=b, old_paid=[rank], new_paid=legs, + private=owned, paid=True) + proposals.append((rank, min(legs), f, path["lo"], path["role"], proposal)) + proposals.sort(key=lambda row: row[:5]) + return [p[-1] for p in proposals[:cap]], len(proposals) + + +def annotate(word, observations): + """One forward and one guarded backward pass over the exact source.""" + events = word["program"] + n, m = word["public"], word["public"]+word["owned_fields"] + starts, stops = defaultdict(list), defaultdict(list) + for obs in observations: + starts[obs["lo"]].append(obs) + stops[obs["hi"]].append(obs) + rows = [{r: Q(1)} if r < n else {} for r in range(m)] + for cut in range(len(events)+1): + for x in starts.get(cut, ()): + x["pre"] = rows[x["role"]].copy() + if cut == len(events): + break + op, r, *a = events[cut] + if op in ("INIT", "CLEAR"): + rows[r] = {} + elif op == "SCALE": + rows[r] = {j: v*Q(a[0]) for j, v in rows[r].items()} + elif op in ("ADD", "COPY"): + if op == "COPY": + need(not rows[r], "Original COPY destination zero") + add(rows[r], rows[a[0]], Q(a[1])) + cols = [{r: Q(1)} for r in range(m)] + for cut in range(len(events), -1, -1): + for x in stops.get(cut, ()): + x["suf"] = cols[x["role"]].copy() + if cut == 0: + break + op, r, *a = events[cut-1] + if op in ("INIT", "CLEAR"): + cols[r] = {} + elif op == "SCALE": + cols[r] = {j: v*Q(a[0]) for j, v in cols[r].items()} + elif op in ("ADD", "COPY"): + add(cols[a[0]], cols[r], Q(a[1])) + if op == "COPY": + cols[r] = {m+cut-1: Q(1)} + + +def kernel(observations, side, group, skip_stationary=False): + """A chronological generating set for the pure helper images.""" + is_prefix = side == "pre" + endpoint = "lo" if is_prefix else "hi" + order = sorted(range(len(observations)), + key=lambda j: observations[j][endpoint], reverse=not is_prefix) + pivots, pure = {}, [] + for j in order: + obs = observations[j] + if skip_stationary and obs.get("stationary"): + continue + outside = {r: v for r, v in obs[side].items() if r not in group} + inside = {r: v for r, v in obs[side].items() if r in group} + provenance = {j: Q(1)} + while outside: + r = min(outside) + if r not in pivots: + coefficient = outside[r] + pivots[r] = tuple({k: v/coefficient for k, v in row.items()} + for row in (outside, inside, provenance)) + break + factor = -outside[r] + for row, pivot in zip((outside, inside, provenance), pivots[r]): + add(row, pivot, factor) + if not outside and inside: + clock = (max if is_prefix else min)(observations[k][endpoint] for k in provenance) + pure.append((inside, provenance, clock)) + return pure + + +def pair(c, d): + return sum(q*d.get(r, 0) for r, q in c.items()) + + +def smooth(x): + for p in (2, 3, 5): + while x % p == 0: + x //= p + return x == 1 + + +def legal(op, q): + return (q and abs(q)+1 < 2**16 and abs(q.numerator).bit_length() <= 24 + and smooth(q.denominator) and (op != "SCALE" or smooth(abs(q.numerator)))) + + +def point(obs, q, side, index, remap): + row = dict(cut=obs["lo" if side == "pre" else "hi"], role=obs["role"], frame=obs["frame"], + coefficient=str(q)) + if obs.get("stationary"): + row["stationary_interval"] = [obs["lo"], obs["hi"]] + elif obs.get("paid"): + row["paid_path"] = 0 + else: + row["path"] = remap[index] + return row + + +def nominate(observations, word, group, f, split, extra, counts, extension=None, baseline=None): + pre = kernel(observations, "pre", group) + suf = kernel(observations, "suf", group) + if baseline is None: + mpre = kernel(observations, "pre", group, skip_stationary=True) + msuf = kernel(observations, "suf", group, skip_stationary=True) + else: + mpre, msuf = baseline + residents = [(o["lo"], o["hi"], o["role"], j) for j, o in enumerate(observations) + if o["role"] in group] + counts["cases"] += 1 + counts["prefix_generators"] += len(pre) + counts["suffix_generators"] += len(suf) + reference_pair_windows = sorted((lo, hi) for c, _, lo in mpre for d, _, hi in msuf + if lo <= hi and pair(c, d)) + for c, a, lo in pre: + for d0, b0, hi in suf: + if lo > hi: + continue + pairing = pair(c, d0) + if not pairing: + continue + counts["rational_pairs"] += 1 + if extension: + if extension["role"] not in c and extension["role"] not in d0: + continue + elif not any(observations[j].get("stationary") for j in set(a) | set(b0)): + continue + d = {r: q/pairing for r, q in d0.items()} + b = {j: q/pairing for j, q in b0.items()} + scales = {Q(1), *(1/q for q in d.values()), *c.values()} + for born, expired, pivot, pivot_index in residents: + cut = max(lo, born) + for first, last in reference_pair_windows: + if first > cut: + break + if last >= cut: + cut = last+1 + if cut > min(hi, expired): + continue + counts["new_access_required_pairs"] += 1 + for s in sorted(scales, key=lambda q: (abs(q.numerator).bit_length()+q.denominator.bit_length(), q)): + cc, dd = {r: q/s for r, q in c.items()}, {r: q*s for r, q in d.items()} + aa, bb = {j: q/s for j, q in a.items()}, {j: q*s for j, q in b.items()} + if not all(legal("ADD", q) for q in [*aa.values(), *bb.values()]): + continue + code = split.basis(cc, dd, pivot, 3) + if not all(legal(e[0], Q(e[-2])) for e in code + split.inverse(code)): + continue + used = sorted(j for j in set(aa) | set(bb) | {pivot_index} + if not (observations[j].get("stationary") or observations[j].get("paid"))) + remap = {j: k for k, j in enumerate(used)} + paths = [{k: v for k, v in observations[j].items() if k not in ("pre", "suf")} for j in used] + rank = len(word["frames"][f]) + hit = dict(frame=f, cut=cut, pivot=pivot, ranks=[rank, 9-rank], + c={str(r): str(q) for r, q in cc.items()}, d={str(r): str(q) for r, q in dd.items()}, + gathers=[point(observations[j], q, "pre", j, remap) for j, q in aa.items()], + injections=[point(observations[j], q, "suf", j, remap) for j, q in bb.items()], + paid_delta={}) + if extension: + hit["extension"] = extension + if extra: + delta = Counter(extra["new_paid"]) + delta.subtract(extra["old_paid"]) + hit.update(paid_path=0, path={k: v for k, v in extra.items() if k not in ("pre", "suf", "paid")}, + paid_delta={str(r): v for r, v in delta.items() if v}) + return hit, paths, dict(full_generators=[len(pre), len(suf)], + reference_generators=[len(mpre), len(msuf)], + reference_pair_windows=len(reference_pair_windows), boundary_instructions=len(code)) + return None + + +def run(word, split, paid_limit, ranks, descending_owned): + spaces = list(map(span, word["frames"])) + main = set(word["live"]) | {r+112 for r in word["live"]} | set(word["hosted"]["X2"]) | set(word["hosted"]["Y2"]) + group = {r for r, (a, b) in enumerate(zip(word["initial"], word["final"])) + if r not in main and (a, b) == (3, 127)} + charts = {f for f, s in enumerate(spaces) if len(s) in {2**rank for rank in ranks} and spaces[3] < s < spaces[127]} + charts -= {120, 237, 306, 595} + neutral, movers = windows(word, charts) + eligible = {f for f in charts if any(o.get("stationary") for o in neutral[f])} + paid, available_paid = affordable_paths(word, eligible, movers, spaces, paid_limit, descending_owned) + by_chart = [o for f in sorted(eligible) for o in neutral[f]] + annotate(word, [*by_chart, *paid]) + counts = Counter() + summary = dict(group_size=len(group), eligible_charts=len(eligible), + stationary=sum(o.get("stationary", False) for o in by_chart), + moving=len(by_chart)-sum(o.get("stationary", False) for o in by_chart), + affordable_single_midpoints=available_paid, paid_case_cap=paid_limit, ranks=ranks, descending_owned=descending_owned) + print("DOMAIN", summary, flush=True) + for f in sorted(eligible): + obs = neutral[f] + if not any(o["role"] in group for o in obs): + counts["charts_without_pivot"] += 1 + continue + found = nominate(obs, word, group, f, split, None, counts) + if found: + return found, summary | dict(neutral=dict(counts), paid={}) + neutral_counts, counts = dict(counts), Counter() + print("NEUTRAL", neutral_counts, flush=True) + for extra in paid: + f = extra["frame"] + found = nominate([*neutral[f], extra], word, group, f, split, extra, counts) + if found: + return found, summary | dict(neutral=neutral_counts, paid=dict(counts)) + return None, summary | dict(neutral=neutral_counts, paid=dict(counts)) + + + +def run_exit(word, split): + spaces = list(map(span, word["frames"])) + main = set(word["live"]) | {r+112 for r in word["live"]} | set(word["hosted"]["X2"]) | set(word["hosted"]["Y2"]) + group = {r for r, (a, b) in enumerate(zip(word["initial"], word["final"])) + if r not in main and (a, b) == (3, 127)} + exits = {r: b for r, (a, b) in enumerate(zip(word["initial"], word["final"])) + if r not in main and a == 3 and len(spaces[b]) == 256 and spaces[b] < spaces[127]} + charts = {f for f, s in enumerate(spaces) if 4 <= len(s) <= 128 and spaces[3] < s < spaces[127]} + charts -= {120, 237, 306, 595} + pool, _ = windows(word, charts) + annotate(word, [o for obs in pool.values() for o in obs]) + order = sorted(pool, key=lambda f: (abs(len(word["frames"][f])-4.5), f)) + counts = Counter() + summary = dict(group_size=len(group), eligible_exits=len(exits), charts=len(order)) + print("EXIT DOMAIN", summary, flush=True) + for f in order: + obs = pool[f] + roles = {o["role"] for o in obs} + supported = set().union(*(row.keys() for o in obs for row in (o["pre"], o["suf"]))) + choices = [r for r in exits if r in supported and (r in roles or not roles.isdisjoint(group))] + if not choices: + continue + baseline = kernel(obs, "pre", group), kernel(obs, "suf", group) + for r in choices: + extra = dict(role=r, old=exits[r], new=127, cut=len(word["program"])) + found = nominate(obs, word, group | {r}, f, split, None, counts, extension=extra, baseline=baseline) + if found: + return found, summary | dict(screen=dict(counts)) + if counts["cases"] % 200 < len(choices): + print("EXIT SCREEN", dict(counts), flush=True) + return None, summary | dict(screen=dict(counts)) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("output", type=Path) + parser.add_argument("--paid-limit", type=int, default=500) + parser.add_argument("--ranks", type=int, nargs="+", default=[4, 5]) + parser.add_argument("--descending-owned", action="store_true") + parser.add_argument("--funded-exit", action="store_true") + args = parser.parse_args() + need(all(1 <= r <= 8 for r in args.ranks) and 0 <= args.paid_limit <= 500, "Bounded search scope") + args.output.mkdir() + with parent_archive() as parent: + sys.path.insert(0, str(parent)) + import split + word = predecessor(parent) + if args.funded_exit: + result, info = run_exit(word, split) + else: + result, info = run(word, split, args.paid_limit, args.ranks, args.descending_owned) + if result: + hit, paths, detail = result + for name, data in [("WITNESS.json", hit), ("PATHS.json", paths)]: + (args.output / name).write_text(json.dumps(data, indent=2)+"\n") + info.update(witness=dict(frame=hit["frame"], cut=hit["cut"], pivot=hit["pivot"], **detail)) + info.update(status="EXACT_CAUSAL_NOMINEE" if result else "NO_EMITTED_NOMINEE", + scope="Exact rational availability and bounded literal basis synthesis") + (args.output / "DISCOVERY.json").write_text(json.dumps(info, indent=2)+"\n") + print(info, flush=True) + + +if __name__ == "__main__": + main() diff --git a/research/p104-rank8-exit-funded-split/inputs/pr7156.tar 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