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zrckvruy^`5a%iRCkg$eCkjMPN1epk6S|9en?Ga2r&9Xs%2u=zjw@C#8sPSLV@vA`t zkeSz-h`*A`$bns96zS*bbOQ6v)W=nzpkX+)31trU!2t|#@EgF02=ySGKpXE(a%5|m z4D&dgj3xun=EQHZ93s1sA{+jFr%qEQi4|w7b%p|$Chw62-?-qrA51`ld0g?E-k}5; zkN!WyEBw&L0|Xu*@Bo1a2s}XG0Rj&Yc!0nI1Rfyp0D%VxJV4+90uK;)fWQL;9w6`l yfd>dYK;Qua4-j~OzykyxAn*Wz2M9bs-~j>;5O{#V0|Xu*@Bo1a2>e%v!2bbQX1U$~ literal 0 HcmV?d00001 From 47da58a1446ff744c6a558a16719024375e77e81 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Sun, 25 Oct 2026 20:46:42 -0500 Subject: [PATCH 2/4] Name the retained uncompressed export as tar --- .../{pr5627-source.tar.gz => pr5627-source.tar} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename research/p104-neutral-helper-cleanup/inputs/{pr5627-source.tar.gz => pr5627-source.tar} (100%) diff --git a/research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar.gz b/research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar similarity index 100% rename from research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar.gz rename to research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar From 034db9706c0b4b6913a2347351656d52a2cbfe66 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Sun, 25 Oct 2026 20:49:26 -0500 Subject: [PATCH 3/4] Raise complete conditional kappa with three neutral helper cleanups --- research/p104-neutral-helper-cleanup/NOTICE | 6 + research/p104-neutral-helper-cleanup/PROOF.md | 136 ++++ .../p104-neutral-helper-cleanup/README.md | 121 ++++ .../p104-neutral-helper-cleanup/RESULT.json | 680 ++++++++++++++++++ .../p104-neutral-helper-cleanup/SOURCES.json | 34 + .../p104-neutral-helper-cleanup/TASK.json | 106 +++ .../p104-neutral-helper-cleanup/VALIDATION.md | 65 ++ .../p104-neutral-helper-cleanup/VERIFY.json | 36 + .../p104-neutral-helper-cleanup/WITNESS.json | 80 +++ .../p104-neutral-helper-cleanup/WORD.json.gz | Bin 0 -> 107894 bytes .../p104-neutral-helper-cleanup/construct.py | 117 +++ .../p104-neutral-helper-cleanup/pricing.py | 174 +++++ .../p104-neutral-helper-cleanup/sources.py | 61 ++ .../p104-neutral-helper-cleanup/verify.py | 114 +++ 14 files changed, 1730 insertions(+) create mode 100644 research/p104-neutral-helper-cleanup/NOTICE create mode 100644 research/p104-neutral-helper-cleanup/PROOF.md create mode 100644 research/p104-neutral-helper-cleanup/README.md create mode 100644 research/p104-neutral-helper-cleanup/RESULT.json create mode 100644 research/p104-neutral-helper-cleanup/SOURCES.json create mode 100644 research/p104-neutral-helper-cleanup/TASK.json create mode 100644 research/p104-neutral-helper-cleanup/VALIDATION.md create mode 100644 research/p104-neutral-helper-cleanup/VERIFY.json create mode 100644 research/p104-neutral-helper-cleanup/WITNESS.json create mode 100644 research/p104-neutral-helper-cleanup/WORD.json.gz create mode 100644 research/p104-neutral-helper-cleanup/construct.py create mode 100644 research/p104-neutral-helper-cleanup/pricing.py create mode 100644 research/p104-neutral-helper-cleanup/sources.py create mode 100644 research/p104-neutral-helper-cleanup/verify.py diff --git a/research/p104-neutral-helper-cleanup/NOTICE b/research/p104-neutral-helper-cleanup/NOTICE new file mode 100644 index 0000000000..52b80e0882 --- /dev/null +++ b/research/p104-neutral-helper-cleanup/NOTICE @@ -0,0 +1,6 @@ +P104 neutral helper cleanup +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +The retained PR5627 archive contains the full source notices. The source +pricing module retains its predecessor notices. Read README.md for links +and the contribution map. No source notice was removed. diff --git a/research/p104-neutral-helper-cleanup/PROOF.md b/research/p104-neutral-helper-cleanup/PROOF.md new file mode 100644 index 0000000000..8572bf7a3a --- /dev/null +++ b/research/p104-neutral-helper-cleanup/PROOF.md @@ -0,0 +1,136 @@ +# Three neutral helper relations remove paid calls + +This construction starts from the exact PR5627 word at +`ed4dc88a09a7d201971f6603b8c2074e95dd9c32`. It keeps all 743 independent +inputs, all 535 helper targets and the 104 main pairs. The selected frontier +is unchanged. The five source framework assumptions and the helper endpoint +contract remain. + +## 1. The boundary identity + +Write the scalar state in native normalized coordinates. Let h be a helper +with initial chart S and final chart F. At a chronological cut, suppose h +and each cancellation supplier are at F. Suppose the exact prefix rows give + +```math +r_h-\sum_j b_j r_j=c x_h+\sum_{j\ne h} a_j x_j. +``` + +Every input on the right has initial chart S, and c is a dyadic unit. Suppose +there is no later source read of h. Before the word, apply +`h += -a_j/c * j` for every j other than h. At the cut, apply +`h -= b_j * j` and then `h *= 1/c`. The resulting h is exactly the original +independent input x_h. Delete the later scalar operations whose destination +is h. They have no effect on another output. + +The source returns every helper unchanged and has no helper contribution +to a main output. Thus the input basis change can affect only the old h +output. The cut repairs that output exactly. No helper is set to zero, +no new input is created and no productive target is removed or added. +All basis coefficients are dyadic, and every SCALE has a dyadic inverse. + +The constructor checks the complete prefix relation, common charts, the +last-read condition, the exact removed operations and the full arbitrary-input +endpoint after each step. It also checks that the complete chronological +subsequence of owned operations is unchanged. + +## 2. Exact witnesses + +The cuts below are zero-based and refer to each successive word after +transport coalescing. `WITNESS.json` retains the full event anchors and vectors. +Here `e_j` denotes the j-th independent input. + +| Helper | Cut | Final chart | Prefix row after cancellation | +| ---: | ---: | ---: | --- | +| 291 | 10627 | 234 | -2 e291 - e293 + 2 e39 + 2 e303 | +| 321 | 11072 | 237 | e321 - 2 e320 - 2 e34 + 2 e330 | +| 369 | 11718 | 243 | e369 + 2 e383 - 2 e372 - 2 e3 - 2 e382 - 2 e378 | + +Their cancellation vectors are respectively +`{293:-1}`, `{22:2,320:-3/2,330:2}`, and +`{368:-3/2,26:2,378:-2}`. All initial basis operations use chart 3. +The three steps remove six, five and five old scalar cleanup events. +The inserted cancellation and input operations are included in the cost. + +## 3. The paid change + +The removed cleanup contacts let main roles 55, 49 and 80 bypass one +intermediate chart each. Their old paths are + +```text +role 55: 722 -> 234 -> 127 +role 49: 734 -> 237 -> 127 +role 80: 749 -> 243 -> 127 +``` + +Each path has ranks 1 and 5. The new direct path has rank 6. For chart +operators C_A, C_B and C_D, the exact product is + +```math +(C_D C_B^{-1})(C_B C_A^{-1})=C_D C_A^{-1}. +``` + +No scalar operation uses that role between these transports. The chronological +replay checks strict chart containment, and the native verifier checks the +exact signed map and global phase. This identity applies at every positive +tensor width under the retained native implementation assumption. + +The local paid delta is `-3 H1 -3 H5 +3 H6`. Every target stays fixed. +For 00. +``` + +This is a changed physical invoice. It does not add predecessor kappa gains. +The alternative PR5613 inventory has 72 additional H5 paid calls and 72 +additional H5 targets. It has the same signed source moment, but this package +uses only the smaller PR5627 inventory. + +## 4. Complete cost and verification + +The final local word has 25,448 events, 743 independent inputs, 535 helpers, +nine owned roles, eleven owned lifetimes and peak owned occupancy two. +Its paid profile is + +```text +{1:2197, 2:456, 3:494, 4:91, 5:160, 6:21, 7:15}. +``` + +The complete caller retains 18 full forward calls, 15 thin query sites, +3,120 whole idle jobs and 3,328 main targets. Its complete invoice has +66,492 paid calls and 12,958 productive targets. The rank-mass surplus is 760. +Helpers, native normalizers, main adapters, basis operations, COPY/CLEAR, +all owned lifetimes, routes, thin queries and idles are charged. + +A separate dense integer transpose checks all 565,504 matrix entries. +The native check verifies 2,916 distinct maps. The physical caller verifies +all 7,488 contacts, 53,248 central-square columns and complete main phases. +Two rational interval engines check the same complete moment. + +The exact raw crossing lies in +`(0.00310626336369, 0.00310626336370)`. The claim is `0.00310626335`, tested +at `0.003106263355`. The gain over PR5627's claim is `0.00000185789`, +about 0.05985%. This is a small gain. +The raw ceiling is proved only for this fixed invoice on `[0,0.0034]`. +Its headroom above the claim is between `1.369e-11` and `1.370e-11`. +It is not an optimum over constructions. + +The source strictification parameters remain: power 1024, cutoff 17, +target floor 18, tail offset 1/5, reserve 10^-12 and tail decay 39/40. +The compiler checks its finite integer threshold, the preceding integer, +initial range, shifted exits and complement capacity. All 54 strict outer +conditions and four functional conditions pass. The ordinary BIT contract +remains 0.0034. + +The local scalar allowance is 220,208 and the local route allowance is +5,172,000, below the retained 10^7 bound. The complete ordinary-work bound +is 184,647,552, below 10^9. Fewer than 26,000 scalar events and the checked +coefficient bound retain the source growth bound. The paid native rank sum +is 5,986 per local word. No growth or route cost is omitted. + +The huge uniform word and complete rounded multiplier are not materialized. +These are author checks by the same AI-assisted author. Independent scientific +acceptance and a proof-kernel theorem remain absent. Source native, owned +erasure, uniform compiler, precision/tape and analytic recovery assumptions +remain. The package makes no large-gain or global-optimum claim. diff --git a/research/p104-neutral-helper-cleanup/README.md b/research/p104-neutral-helper-cleanup/README.md new file mode 100644 index 0000000000..d21c40e63f --- /dev/null +++ b/research/p104-neutral-helper-cleanup/README.md @@ -0,0 +1,121 @@ +# Conditional kappa 0.00310626335 from three helper cleanups + +This construction raises complete conditional kappa from +**0.00310440546 to 0.00310626335**, a gain of **0.00000185789** +(about **0.05985%**) over +[PR #5627](https://github.com/CrocSwap/integer-mult-bounds/pull/5627). +This is a small gain. The requested large improvement is not established. +The selected frontier is not changed by this package. + +Three exact helper relations remove scalar contacts on main roles 55, 49 +and 80. Each role can then replace an H1+H5 path with H6. The local paid +delta is `-3 H1 -3 H5 +3 H6`. All independent inputs, productive targets +and owned operations stay fixed. The complete caller saves 54 paid calls. + +Read [PROOF.md](PROOF.md), [WITNESS.json](WITNESS.json), +[RESULT.json](RESULT.json), [SOURCES.json](SOURCES.json), and +[VALIDATION.md](VALIDATION.md). The constructor checks every relation before +it emits the new [word](WORD.json.gz). + +| Complete quantity | Value | +| --- | ---: | +| Paid calls | 66,492 | +| Productive targets | 12,958 | +| Rank-mass surplus | 760 | +| Public inputs / helpers per full call | 743 / 535 | +| Owned roles / lifetimes / peak | 9 / 11 / 2 | +| Local events | 25,448 | +| Raw crossing | (0.00310626336369, 0.00310626336370) | +| Tested saving | 0.003106263355 | +| Claimed conditional kappa | 0.00310626335 | + +The complete cost includes helpers, native maps, input/output normalizers, +main adapters, scalar bases, COPY/CLEAR, allocation, routes, thin queries, +whole idles, compiler completion and rounding. Two rational interval engines, +all compiler conditions and all 58 outer conditions pass. The ordinary BIT +contract stays at 0.0034. The fixed-invoice ceiling is the raw crossing above; +it is not a ceiling over constructions. + +## Reproduce + +Use Python 3.12 and its standard library, from the repository root: + +```sh +python3 -B scripts/research_package.py --package research/p104-neutral-helper-cleanup --check-only +python3 -B scripts/research_package.py --package research/p104-neutral-helper-cleanup +``` + +The registered command runs normally and with `-O`. Expected markers are +`PASS_P104_NEUTRAL_HELPER_KAPPA_00310626335` and +`PASS_REGISTERED_RESEARCH_PACKAGE`. Direct replay needs no Git or network: + +```sh +python3 -I -W error -B research/p104-neutral-helper-cleanup/verify.py +python3 -I -W error -B -O research/p104-neutral-helper-cleanup/verify.py +``` + +Normal replay is read-only. `--write` regenerates the word and receipt. +The verifier authenticates the exact source archive and all 36 payload files +before it imports source code. It checks all 565,504 endpoint coefficients, +2,916 signed native maps, the complete physical caller and the full cost. +Controls reject a false cancellation, wrong cut, missing input basis, +missing owned erasure, extra target credit and unpaid query. The native, +controller and pricing checks retain their own controls. + +## Source and credit + +The consumed source is [PR #5627](https://github.com/CrocSwap/integer-mult-bounds/pull/5627) +at `ed4dc88a09a7d201971f6603b8c2074e95dd9c32`: +[source proof](https://github.com/aliromman/integer-mult-bounds/blob/ed4dc88a09a7d201971f6603b8c2074e95dd9c32/research/p104-helper-subspace-splits/PROOF.md), +[source word](https://github.com/aliromman/integer-mult-bounds/blob/ed4dc88a09a7d201971f6603b8c2074e95dd9c32/research/p104-helper-subspace-splits/WORD.json.gz), +and [source notices](https://github.com/aliromman/integer-mult-bounds/blob/ed4dc88a09a7d201971f6603b8c2074e95dd9c32/research/p104-helper-subspace-splits/NOTICE). +Its official self-contained export is retained. Reproduction does not require +a cached unmerged Git object. The exact word, caller and all shared proof +engines are unchanged source inputs. The derived pricing file changes only +the declared claim, comparison and paid count; its byte-level derivation is checked. + +Ali Romman supplied the new three relations with substantial OpenAI Codex +assistance. The same assistant performed the author checks; no subagents or +independent scientific review. The helper-boundary method extends +[PR #5602](https://github.com/CrocSwap/integer-mult-bounds/pull/5602). +The source package supplies the complete composition of +[PR #5601](https://github.com/CrocSwap/integer-mult-bounds/pull/5601), +[PR #5605](https://github.com/CrocSwap/integer-mult-bounds/pull/5605), +[PR #5612](https://github.com/CrocSwap/integer-mult-bounds/pull/5612), +[PR #5606](https://github.com/CrocSwap/integer-mult-bounds/pull/5606) +and [PR #5599](https://github.com/CrocSwap/integer-mult-bounds/pull/5599). +Its notices credit flyingviper's relays, Scratch-net's prepared helper, +Pierre-Loic Doulcet's cascade, Joel Pulikkan, DreamingOfClouds, thu-nmrc, +Gareth Davidson, David Arias, Cinna Davis, Jacob Alan Sussman, zxv and +Cao Yifan, with the earlier geometry, BIT and analytic sources. +All notices remain in the retained export and pricing module. Apache-2.0. + +The discovery first passed on +[PR #5613](https://github.com/CrocSwap/integer-mult-bounds/pull/5613) at +`32f23af8790cc3c435bb1f495d861332b4f000e3`. That source has the same signed +moment but 72 more H5 paid calls and 72 more H5 targets. It is comparison +evidence, not the consumed input. Its counts are not combined with this receipt. + +## Coordination and limits + +The frozen research base is canonical main +`6cf7a683f447b9f1e2333791907fd92be5009a63`, priority revision 7. +The [canonical claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154639) +records the source pins, live overlap checks and released finite screens. +The separate Discussion5600 main-port retirement campaign is excluded. +The final publication checkpoint is recorded in `VALIDATION.md`. + +The five selected assumptions remain: native implementation at all widths, +owned erasure, uniform compiler closure, precision/tape cost and analytic +recovery. The helper endpoint contract also remains. The huge uniform word +and complete rounded multiplier are not materialized. This package does not +claim independent acceptance, a proof-kernel theorem or global optimality. + +## Open next questions + +An independent reviewer can check the three prefix relations and transport +products, then replay the full package. Further coordinated bases may remove +more scalar contacts, but the larger exploratory screens have not produced +a new complete gain. A new construction must first check current claims and +must include every changed target and paid operation. [TASK.json](TASK.json) +records the next bounded question and its blockers. diff --git a/research/p104-neutral-helper-cleanup/RESULT.json b/research/p104-neutral-helper-cleanup/RESULT.json new file mode 100644 index 0000000000..2908bf95db --- /dev/null +++ b/research/p104-neutral-helper-cleanup/RESULT.json @@ -0,0 +1,680 @@ +{ + "authenticated_source_files": 36, + "changes": [ + { + "cancellation": [ + [ + "ADD", + 291, + 293, + "1", + 234 + ], + [ + "SCALE", + 291, + "-1/2", + 234 + ] + ], + "cut": 10627, + "events": 25446, + "frame": 234, + "helper": 291, + "paid": { + "1": 2199, + "2": 456, + "3": 494, + "4": 91, + "5": 162, + "6": 19, + "7": 15 + }, + "preparation": [ + [ + "ADD", + 291, + 39, + "1", + 3 + ], + [ + "ADD", + 291, + 293, + "-1/2", + 3 + ], + [ + "ADD", + 291, + 303, + "1", + 3 + ] + ], + "removed_scalar_events": [ + [ + "SCALE", + 291, + "-1/2", + 234 + ], + [ + "ADD", + 291, + 289, + "1/2", + 234 + ], + [ + "ADD", + 291, + 39, + "1/2", + 234 + ], + [ + "ADD", + 291, + 40, + "1/2", + 234 + ], + [ + "ADD", + 291, + 18, + "-1/2", + 234 + ], + [ + "ADD", + 291, + 55, + "-1", + 234 + ] + ], + "scalar": 220140 + }, + { + "cancellation": [ + [ + "ADD", + 321, + 22, + "-2", + 237 + ], + [ + "ADD", + 321, + 320, + "3/2", + 237 + ], + [ + "ADD", + 321, + 330, + "-2", + 237 + ] + ], + "cut": 11072, + "events": 25446, + "frame": 237, + "helper": 321, + "paid": { + "1": 2198, + "2": 456, + "3": 494, + "4": 91, + "5": 161, + "6": 20, + "7": 15 + }, + "preparation": [ + [ + "ADD", + 321, + 34, + "2", + 3 + ], + [ + "ADD", + 321, + 320, + "2", + 3 + ], + [ + "ADD", + 321, + 330, + "-2", + 3 + ] + ], + "removed_scalar_events": [ + [ + "ADD", + 321, + 320, + "1", + 237 + ], + [ + "ADD", + 321, + 23, + "-1", + 237 + ], + [ + "ADD", + 321, + 22, + "-1", + 237 + ], + [ + "ADD", + 321, + 108, + "1", + 237 + ], + [ + "ADD", + 321, + 49, + "-1", + 237 + ] + ], + "scalar": 220164 + }, + { + "cancellation": [ + [ + "ADD", + 369, + 26, + "-2", + 243 + ], + [ + "ADD", + 369, + 368, + "3/2", + 243 + ], + [ + "ADD", + 369, + 378, + "2", + 243 + ] + ], + "cut": 11718, + "events": 25448, + "frame": 243, + "helper": 369, + "paid": { + "1": 2197, + "2": 456, + "3": 494, + "4": 91, + "5": 160, + "6": 21, + "7": 15 + }, + "preparation": [ + [ + "ADD", + 369, + 3, + "2", + 3 + ], + [ + "ADD", + 369, + 372, + "2", + 3 + ], + [ + "ADD", + 369, + 378, + "2", + 3 + ], + [ + "ADD", + 369, + 382, + "2", + 3 + ], + [ + "ADD", + 369, + 383, + "-2", + 3 + ] + ], + "removed_scalar_events": [ + [ + "ADD", + 369, + 368, + "1", + 243 + ], + [ + "ADD", + 369, + 26, + "-1", + 243 + ], + [ + "ADD", + 369, + 95, + "-1", + 243 + ], + [ + "ADD", + 369, + 8, + "1", + 243 + ], + [ + "ADD", + 369, + 80, + "-1", + 243 + ] + ], + "scalar": 220208 + } + ], + "complete_cost": { + "compiler": { + "H": 80511200000000000, + "N": "2^80511200000000000", + "eta": { + "lower": "0.000000132965805256205580454152", + "upper": "0.000000132965805256205580454153" + }, + "gap": "1/1400000000000", + "integer_test_exponent": 57508, + "logarithm_power": 1024, + "theta": "63/64", + "uniform_saving": "543596087/175000000000", + "word_materialized": false + }, + "full_forward_calls": 18, + "gain": "185789/100000000000", + "kappa": "62125267/20000000000", + "kappa_decimal": ".00310626335", + "margin_at_previous": { + "lower": "0.451550879336614603359787426152", + "upper": "0.451550879336614603359787426153" + }, + "negative_controls": { + "old_BIT": "Rejected by outer inequalities", + "old_cutoff": "Rejected by completion-tail ratio greater than one" + }, + "nonrecursive": { + "fixed_scalar_growth_bound": "At most 2^(16*26000) before native factors; a declared constant, not an attained norm.", + "local_paid_rank_mass": 5986, + "local_routes": 5172000, + "local_scalar": 220208, + "peak_owned_fields": 2, + "raw_budget": 1000000000, + "raw_scalar_upper": 184647552, + "tensor_native_growth_bound": "Each rank-r Gaussian has row l1 norm at most 2^(rf); use local_paid_rank_mass for the whole word." + }, + "ordinary_BIT": { + "admitted": "17/5000", + "after_cover": "69/20000", + "atom": "1/250", + "before_cover": "3459/1000000", + "ordinary_saving": "8590884599/2500000000000", + "prime_rule": "odd q > 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999999253/350000000000000", + "fixed_halo_explicit_metadata_branch": "26950000000001/350000000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799999997009/1400000000000000", + "new_semantic_group_guard": "3/1400000000000" + }, + "margins": { + "boundary_algebraic_matrix": "6088276171595651231307/1960000000000000000000000", + "fused_gaussian": "6088276171586953693921/1960000000000000000000000", + "global_coordinate_router": "2174384347/700000000000", + "group_bit_router": "3044138086493476846959/980000000000000000000000", + "group_scans": "699999999999/700000000000", + "main_transform": "6088276170195651231307/1960000000000000000000000", + "microbox_face_corrections": "26950000000001/350000000000", + "polynomial_products": "1399999999999/1400000000000", + "sparse_union_movement": "802338276171595651231307/1960000000000000000000000" + }, + "parameters": { + "a": "2174384347/700000000000", + "b": "869753739/280000000000", + "beta": "1399999999997/1400000000000", + "bit_saving": "17/5000", + "cap_xi": "1782338276170195651231307/1960000000000000000000000", + "complex_uniform_saving": "543596087/175000000000", + "d": "1/1400000000000", + "epsilon": "1399999999999/1400000000000", + "kappa": "62125267/20000000000", + "lambda_": "398757494659/400000000000", + "lambda_prime": "1395651231307/1400000000000", + "layout": "1/1400000000000", + "q": "4348768693/1400000000000", + "r0": "1/14000000000000", + "stop": "1/1400000000000", + "tested_saving": "621252671/200000000000" + }, + "strict_checks": { + "actual_bit_above_effective": "205615653/700000000000", + "actual_logarithmic_gamma_guard": "1/1400000000000", + "actual_logarithmic_group_guard": "177661723831904348768693/980000000000000000000000", + "alpha_logarithm_absorption": "1/14000000000000", + "boundary_algebraic_matrix_above_kappa": "5595651231307/1960000000000000000000000", + "cap_above_band": "802338276170195651231307/1960000000000000000000000", + "cap_below_cell": "177661723828404348768693/1960000000000000000000000", + "cap_below_phase_cell_power": "2137661723829804348768693/1960000000000000000000000", + "complex_above_effective": "1/1400000000000", + "complex_below_one_over_32": "7880246261/280000000000", + "complex_endpoint": "1/700000000000", + "epsilon_below_one": "1/1400000000000", + "epsilon_positive": "1399999999999/1400000000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586953693921/1960000000000000000000000", + "gaussian_above_main": "695651231307/980000000000000000000000", + "global_coordinate_router_above_kappa": "1/350000000000", + "global_gamma_power_slack": "9/14000000000000", + "group_below_dimension": "1/700000000000", + "group_bit_router_above_kappa": "3493476846959/980000000000000000000000", + "group_gauge_power_slack": "177661723831834348768693/980000000000000000000000", + "group_key_fits_record": "1/700000000000", + "group_positive": "1399999999997/1400000000000", + "group_scans_above_kappa": "348912807827/350000000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "687646465400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000000", + "lambda_above_sigma": "3/2800000000000", + "lambda_above_tau": "1/2800000000000", + "lambda_prime_above_lambda": "1/2800000000000", + "lambda_prime_above_leaf": "559130246261/392000000000000000000000", + "leaf_saving_above_effective": "279130246261/392000000000000000000000", + "main_transform_above_kappa": "4195651231307/1960000000000000000000000", + "membership_arithmetic_fits_record": "1/1400000000000", + "microbox_face_corrections_above_kappa": "53897825615657/700000000000", + "microbox_halo_volume": "110600000000003/1400000000000", + "new_complex_uniform_saving_above_b": "1/1400000000000", + "new_semantic_guard_with_C1_one": "1/1400000000000", + "polynomial_products_above_kappa": "1395651231309/1400000000000", + "positive_layout_slack": "1/1400000000000", + "q_below_effective": "1/1400000000000", + "q_below_internal": "1/1400000000000", + "q_below_leaf": "559130246261/392000000000000000000000", + "q_positive": "4348768693/1400000000000", + "short_record_fallback": "279130246261/280000000000", + "source_axis_superpolynomial": "1/1400000000000", + "sparse_union_movement_above_kappa": "796250000005595651231307/1960000000000000000000000", + "stop_below_one": "1399999999999/1400000000000", + "stop_positive": "1/1400000000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000000", + "union_tag_work_per_visit_fits_record": "3/1400000000000" + } + }, + "paid": { + "1": 41106, + "16": 416, + "2": 8208, + "24": 416, + "3": 8892, + "32": 416, + "4": 1638, + "40": 416, + "48": 416, + "5": 2880, + "56": 416, + "6": 378, + "64": 416, + "7": 270, + "72": 208 + }, + "paid_calls": 66492, + "previous_open_pr5627": "155220273/50000000000", + "productive_fields": 12958, + "query_shears": 15, + "rank_mass_surplus": 760, + "raw_ceiling": { + "derivative_upper": "-185059801945251167500572380988789019128885006440939063323697675/784637716923335095479473677900958302012794430558004314112", + "interval": [ + "0", + "17/5000" + ] + }, + "raw_headroom": [ + "1369/100000000000000", + "137/10000000000000" + ], + "raw_root_interval": [ + "310626336369/100000000000000", + "31062633637/10000000000000" + ], + "relative_gain_percent": "9289450/155220273", + "strictification": { + "alpha": { + "lower": "0.999999999991151995165679182213", + "upper": "0.999999999991151995165679182214" + }, + "cutoff": 17, + "delta": { + "lower": "0.967530914044170735058316873915", + "upper": "0.967530914044170735058316873916" + }, + "floor": 18, + "gamma": { + "lower": "0.968140817783099208114307070153", + "upper": "0.968140817783099208114307070154" + }, + "normalized_paid_upper": "1048576000976562501/1048576001073741824", + "power": 1024, + "reserve": "1/1000000000000", + "tail_block": 128, + "tail_decay": "39/40", + "tail_offset": "1/5", + "tested": "621252671/200000000000" + }, + "targets": { + "1": 36, + "145": 208, + "17": 416, + "2": 72, + "25": 416, + "33": 416, + "4": 1638, + "41": 416, + "49": 416, + "5": 108, + "57": 416, + "65": 416, + "7": 90, + "73": 208, + "8": 288, + "9": 7398 + }, + "whole_idle_jobs": 3120 + }, + "limits": [ + "The five selected framework assumptions and helper-endpoint contract remain.", + "The enormous uniform word and complete rounded multiplier are not materialized.", + "These author checks are not independent scientific review or a proof-kernel theorem.", + "The improvement is small. No large gain or global optimum is established." + ], + "local": { + "endpoint_coefficients": 565504, + "helpers": { + "1": 2, + "2": 4, + "4": 91, + "5": 6, + "7": 5, + "8": 16, + "9": 411 + }, + "owned_fields": 9, + "owned_lifetimes": 11, + "paid": { + "1": 2197, + "2": 456, + "3": 494, + "4": 91, + "5": 160, + "6": 21, + "7": 15 + }, + "paid_rank_mass": 5986, + "peak_owned_fields": 2, + "public_inputs": 743, + "real_scalar_allowance": 220208 + }, + "local_helper_delta": {}, + "local_paid_delta": { + "1": -3, + "5": -3, + "6": 3 + }, + "native": { + "distinct_maps": 2916, + "helper_normalizers": 1070, + "helpers": { + "1": 2, + "2": 4, + "4": 91, + "5": 6, + "7": 5, + "8": 16, + "9": 411 + }, + "main_adapters": 208, + "proof": "Every signed Pauli image and exact global phase; frame induction at every positive tensor width", + "recipe_payload_sha256": "92eef26313b53686f5f78c181e8a75549280be0a714dbd069ae2cc2f24bbd820", + "wrong_phase_rejected": true + }, + "negative_controls": { + "extra_target_credit": "Every productive helper has a native target", + "false_cancellation": "Exact prefix relation on every input", + "missing_central_translation": "Rejected by the complete Laurent endpoint", + "missing_input_basis": "All public and owned rows", + "missing_owned_erasure": "All public and owned exits", + "unpaid_query": "Complete field and call counts", + "wrong_cut": "Exact chronological anchor" + }, + "physical_caller": { + "central_square_columns": 53248, + "full_calls": 18, + "main_targets": { + "145": 208, + "17": 416, + "25": 416, + "33": 416, + "41": 416, + "49": 416, + "57": 416, + "65": 416, + "73": 208 + }, + "new_paid_jobs": 0, + "physical_contacts": 7488, + "ports": 104, + "route_payload_sha256": "7f4f0ca768ffbc4f93dcff575592c4c67411f46b4289e45b73f715a2ad47b142", + "tensor_rule": "Factorwise native maps; scalar signs stay outside the tensor power.", + "whole_idle_jobs": { + "16": 416, + "24": 416, + "32": 416, + "40": 416, + "48": 416, + "56": 416, + "64": 416, + "72": 208 + }, + "wrapper_sites": [ + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31 + ] + }, + "separate_columns": { + "arithmetic": "Dense integer rows with binary denominators; reverse chronology", + "coefficients": 565504, + "columns": 752 + }, + "source_commit": "ed4dc88a09a7d201971f6603b8c2074e95dd9c32", + "source_local": { + "endpoint_coefficients": 565504, + "helpers": { + "1": 2, + "2": 4, + "4": 91, + "5": 6, + "7": 5, + "8": 16, + "9": 411 + }, + "owned_fields": 9, + "owned_lifetimes": 11, + "paid": { + "1": 2200, + "2": 456, + "3": 494, + "4": 91, + "5": 163, + "6": 18, + "7": 15 + }, + "paid_rank_mass": 5986, + "peak_owned_fields": 2, + "public_inputs": 743, + "real_scalar_allowance": 220154 + }, + "status": "PASS_P104_NEUTRAL_HELPER_KAPPA_00310626335" +} diff --git a/research/p104-neutral-helper-cleanup/SOURCES.json b/research/p104-neutral-helper-cleanup/SOURCES.json new file mode 100644 index 0000000000..410fd77bfd --- /dev/null +++ b/research/p104-neutral-helper-cleanup/SOURCES.json @@ -0,0 +1,34 @@ +{ + "base_commit": "6cf7a683f447b9f1e2333791907fd92be5009a63", + "files": [ + { + "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "path": "docs/research/agent-task-catalog.json", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72", + "usage": "provenance" + }, + { + "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446", + "path": "certificates/selected-result.json", + "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903", + "usage": "provenance" + }, + { + "git_blob": "bc900f0a1561b17b35492a80d10ae94f790d8378", + "path": "research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar", + "pin": "head:47da58a1446ff744c6a558a16719024375e77e81:research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar", + "sha256": "86c6bb839e14d79175ff8f3ed80b51a02d5c51a04deb0eff7ccea1afbe72923b", + "usage": "input" + } + ], + "schema_version": 1, + "source_export": { + "commit": "ed4dc88a09a7d201971f6603b8c2074e95dd9c32", + "files": 36, + "git_blob": "bc900f0a1561b17b35492a80d10ae94f790d8378", + "local_path": "inputs/pr5627-source.tar", + "package": "research/p104-helper-subspace-splits", + "sha256": "86c6bb839e14d79175ff8f3ed80b51a02d5c51a04deb0eff7ccea1afbe72923b", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5627" + } +} diff --git a/research/p104-neutral-helper-cleanup/TASK.json b/research/p104-neutral-helper-cleanup/TASK.json new file mode 100644 index 0000000000..4e04ce714e --- /dev/null +++ b/research/p104-neutral-helper-cleanup/TASK.json @@ -0,0 +1,106 @@ +{ + "actual_scope": "Use three exact helper relations to remove main scalar contacts and fuse three paid paths. Verify the complete conditional kappa.", + "ai_assistance": "Substantial OpenAI Codex assistance. The same assistant performed the author checks. No subagents or independent review.", + "author": "Ali Romman", + "base_commit": "6cf7a683f447b9f1e2333791907fd92be5009a63", + "bottleneck_link": "Three H1+H5 paths become H6 in each of eighteen full calls.", + "budget_minutes": 240, + "evidence": "PROOF.md, WITNESS.json and RESULT.json", + "open_questions": [ + { + "blocked_by": "No further large gain is established. Complete native, caller and compiler checks are required.", + "first_step": "Check live claims, then test a changed basis on the exact new word and retain every target debit.", + "question": "Can coordinated helper basis changes remove more main scalar contacts?", + "why_it_matters": "A longer paid path can improve the complete moment." + } + ], + "original_card": { + "acceptance_gate": "An unchanged histogram is not a kappa gain; record any separate runtime or proof benefit explicitly.", + "allowed_variations": [ + "One existing scalar simplification and one proposed frame-path change." + ], + "bottleneck_link": "A legal change to the histogram, not addition count alone, is the bridge to an exponent gain.", + "existing_checks": [ + { + "evidence": "research/staged544-a2-graph-rewrite/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #3998: consecutive A2 scalar contraction", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "389268a6b5e0373a3125d5c6fcd6995f4ea324f5", + "status": "author-checked" + }, + { + "evidence": "research/staged544-separated-a2/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4019: separated A2 sites with unchanged recursive histogram", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "f408e09df300b575235f7f77f81948071397e16d", + "status": "author-checked" + }, + { + "evidence": "research/staged544-a2-composition-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4112: composition audit", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "205b7380656ba4b6316a8a493b1a3c679b8f7a0e", + "status": "author-checked" + }, + { + "evidence": "research/staged544-a1858-contraction-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4152: A1858 contraction audit", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "caaa14cde5962adc372fdca71f63d0f29e73c8b2", + "status": "author-checked" + } + ], + "first_experiment": "Identify an actual paid transition to remove and construct a legal replacement frame itinerary, charging restoration, source windows and changed helpers. Compare complete before/after histograms. Stop if only scalar count changes; report that benefit honestly, without expanding the same scalar-only census.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the A2 and separated-A2 constructions and their composition/contraction audits. Scalar contractions can preserve the complete recursive histogram; fewer ADDs alone do not justify further scans.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "id": "scalar-to-moment", + "methods": [ + "Derive the changed legal frame itinerary and exact child histogram.", + "Prove a scoped obstruction showing why that scalar gain cannot change the paid contract." + ], + "overlap_terms": [ + "scalar simplification", + "paid profile", + "R439", + "3998", + "4019", + "4112", + "4152", + "staged544-a2-graph-rewrite", + "staged544-separated-a2", + "staged544-a2-composition-audit", + "staged544-a1858-contraction-audit" + ], + "question": "Can a changed frame itinerary remove a paid transition beyond the already covered scalar A2 contractions?", + "scope_change_triggers": [ + "Submitting only another scalar count as completion of a paid-profile task." + ], + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged544-a2-graph-rewrite/README.md", + "research/staged544-separated-a2/README.md", + "research/staged544-a2-composition-audit/README.md", + "research/staged544-a1858-contraction-audit/README.md" + ] + }, + "outcome": "completed", + "priority_revision": 7, + "schema_version": 1, + "scope_change_reason": "The user assigned helper-basis work and a complete cost improvement. The paid paths change; scalar counts alone do not establish the result.", + "scope_status": "refined", + "stop_rule": "Publish one exact complete gain. Do not change the selected frontier.", + "task_id": "scalar-to-moment" +} diff --git a/research/p104-neutral-helper-cleanup/VALIDATION.md b/research/p104-neutral-helper-cleanup/VALIDATION.md new file mode 100644 index 0000000000..d4a794dd9c --- /dev/null +++ b/research/p104-neutral-helper-cleanup/VALIDATION.md @@ -0,0 +1,65 @@ +# Validation record + +Scientific source: PR5627 `ed4dc88a09a7d201971f6603b8c2074e95dd9c32`. +Frozen task provenance: canonical main +`6cf7a683f447b9f1e2333791907fd92be5009a63`, priority revision 7. +The publication branch was refreshed to canonical main +`df0137efd35e11b4445734bf612bdd4c7ebc330c`. Its selected result is +0.00310045. The priority and task catalogue are unchanged. This package does +not edit the selection or a predecessor package. + +## Completed author checks + +Python 3.12, standard library, macOS arm64. No subagents. + +```sh +python3 -I -W error -B research/p104-neutral-helper-cleanup/verify.py --write +python3 -B scripts/research_package.py --package research/p104-neutral-helper-cleanup --check-only +``` + +Both commands passed. The first reconstructed all three relations, checked +unchanged targets and owned lifetimes, all 565,504 matrix entries, 2,916 +signed native maps, the complete physical caller, both exact moment engines, +compiler costs, 54 strict and four functional outer conditions. It rejected +all declared semantic controls and saved the deterministic word and receipt. +The metadata result is `PASS_PACKAGE_METADATA_AND_PINS`; it is not a +mathematical acceptance check. + +The same three relations first passed full standalone checks on the PR5613 +inventory. They were then reconstructed on the smaller PR5627 inventory and +passed full standalone checks again. Only the latter is the package input. +No source gain or paid/target count is transferred by addition of PR claims. + +The final source export is an uncompressed tar file. Its exact bytes, Git +blob, archive manifest and all 36 payload files are checked before imports. +The export bytes are retained in an ancestor of this branch. + +## Publication checks pending + +Registered normal and optimized replay, committed-byte comparison, export +integrity, a read-only Git-free replay and source-corruption controls will be +recorded before publication. Hosted CI and independent scientific acceptance +are separate. Full-history source-ancestry mode is unavailable in this shallow +checkout; direct source-byte and ancestor checks are used instead. + +## Coordination + +The last full remote snapshot at 2026-10-26 01:42-01:43 UTC covered 334 open +PRs and 4,919 Discussion records with complete pagination. Sparse local note +coverage is incomplete. The current arbitrary-carrier/paid-extension screens +were released by the PR5627 thread; its active scope is MOVE-window scheduling. +Discussion5600 now tests paid history reconstruction. Neither active scope is +part of this package. The three exact helper cleanups remain in the canonical +claim linked from README.md. + +Some local broader screens overlapped newly posted, released negative screens +for arbitrary carriers and single endpoint extensions. No novelty or κ gain is +claimed for them. They are not inputs to this proof. Subsequent work tests +changed scalar contacts with boundary repair, separate from the active claims. + +## Limits + +All checks are author checks by the same assistant. The five inherited +framework assumptions and helper endpoint contract remain. The huge uniform +word and complete rounded multiplier are not materialized. No independent +human acceptance, proof-kernel theorem or global optimum is claimed. diff --git a/research/p104-neutral-helper-cleanup/VERIFY.json b/research/p104-neutral-helper-cleanup/VERIFY.json new file mode 100644 index 0000000000..8773470dc5 --- /dev/null +++ b/research/p104-neutral-helper-cleanup/VERIFY.json @@ -0,0 +1,36 @@ +{ + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-W", + "error", + "-B", + "{package}/verify.py" + ], + "checks": "Authenticate all 36 exported source files; reconstruct three relations; check all rows and dense columns, native phases, complete caller, two exact moment engines, compiler costs and 58 outer conditions; reject semantic corruptions and compare saved artifacts.", + "timeout_seconds": 540 + }, + { + "argv": [ + "{python}", + "-I", + "-W", + "error", + "-B", + "-O", + "{package}/verify.py" + ], + "checks": "Authenticate all 36 exported source files; reconstruct three relations; check all rows and dense columns, native phases, complete caller, two exact moment engines, compiler costs and 58 outer conditions; reject semantic corruptions and compare saved artifacts.", + "timeout_seconds": 540 + } + ], + "inputs": [ + "research/p104-neutral-helper-cleanup/inputs/pr5627-source.tar" + ], + "python": "3.12", + "requirements": [], + "schema_version": 1, + "status": "ready" +} diff --git a/research/p104-neutral-helper-cleanup/WITNESS.json b/research/p104-neutral-helper-cleanup/WITNESS.json new file mode 100644 index 0000000000..8d4f38c5c9 --- /dev/null +++ b/research/p104-neutral-helper-cleanup/WITNESS.json @@ -0,0 +1,80 @@ +[ + { + "anchor": [ + "ADD", + 18, + 291, + "-1/2", + 234 + ], + "cancel": { + "293": "-1" + }, + "cut": 10627, + "frame": 234, + "gain": 0.0, + "helper": 291, + "output": { + "291": "-2", + "293": "-1", + "303": "2", + "39": "2" + }, + "removed": 6, + "reverse": false + }, + { + "anchor": [ + "ADD", + 320, + 321, + "-1", + 237 + ], + "cancel": { + "22": "2", + "320": "-3/2", + "330": "2" + }, + "cut": 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transports. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The helper boundary identity extends the retained PR5602 construction. +""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q + + +def coalesce(word, L): + out = deepcopy(word) + actual = word['initial'] + [None]*word['owned_fields'] + desired, program = actual[:], [] + + def flush(role): + if actual[role] != desired[role]: + program.append(['MOVE', role, actual[role], desired[role], role >= word['public']]) + actual[role] = desired[role] + + for event in word['program']: + op, role = event[:2] + if op == 'MOVE': + L.need(desired[role] == event[2], 'Chronological transport source') + desired[role] = event[3] + elif op == 'INIT': + L.need(actual[role] is None, 'Fresh owned lifetime') + actual[role] = desired[role] = event[2] + program.append(event[:]) + else: + flush(role) + if op in ('ADD', 'COPY'): + flush(event[2]) + program.append(event[:]) + if op == 'CLEAR': + actual[role] = desired[role] = None + for role in range(word['public']): + flush(role) + out['program'] = program + return out + + +def relation(word, witness, L): + h, cut, frame = (witness[k] for k in ('helper', 'cut', 'frame')) + n, owned = word['public'], word['owned_fields'] + main = set(word['live']) | {r+112 for r in word['live']} + L.need(h < n and h not in main and witness['reverse'] is False, 'Forward public helper') + L.need(word['program'][cut] == witness['anchor'], 'Exact chronological anchor') + L.need(word['final'][h] == frame, 'The target boundary stays fixed') + rows = [{r:Q(1)} if r < n else {} for r in range(n+owned)] + current = word['initial'] + [None]*owned + for event in word['program'][:cut+1]: + op, role = event[:2] + if op == 'MOVE': + current[role] = event[3] + elif op in ('INIT', 'CLEAR'): + rows[role] = {} + current[role] = event[2] if op == 'INIT' else None + elif op == 'SCALE': + rows[role] = {j:Q(event[-2])*a for j,a in rows[role].items()} + elif op == 'COPY': + rows[role] = {j:Q(event[-2])*a for j,a in rows[event[2]].items()} + else: + L.add(rows[role], rows[event[2]], Q(event[-2])) + output = {int(j):Q(a) for j,a in witness['output'].items()} + cancel = {int(j):Q(a) for j,a in witness['cancel'].items()} + initial = word['initial'][h] + L.need(h in output and h not in cancel and all(j < n and word['initial'][j] == initial + for j in output), 'One independent input chart') + L.need(current[h] == frame and all(current[j] == frame for j in cancel), + 'One cancellation chart') + row = rows[h].copy() + for role, coefficient in cancel.items(): + L.add(row, rows[role], -coefficient) + L.need(row == output, 'Exact prefix relation on every input') + scale = output[h] + L.need(scale and abs(scale.numerator) & (abs(scale.numerator)-1) == 0 + and scale.denominator & (scale.denominator-1) == 0, 'Invertible dyadic coefficient') + tail = word['program'][cut+1:] + L.need(not any(e[0] in ('ADD', 'COPY') and e[2] == h for e in tail), 'No later helper read') + removed = [e for e in tail if e[1] == h] + L.need(len(removed) == witness['removed'] and all(e[0] in ('ADD', 'SCALE') for e in removed), + 'Only declared scalar cleanup is removed') + preparation = [['ADD', h, j, str(-a/scale), initial] for j,a in sorted(output.items()) if j != h] + cancellation = [['ADD', h, j, str(-a), frame] for j,a in sorted(cancel.items())] + if scale != 1: + cancellation.append(['SCALE', h, str(1/scale), frame]) + out = deepcopy(word) + out['program'] = preparation + word['program'][:cut+1] + cancellation + [e for e in tail if e[1] != h] + out = coalesce(out, L) + return out, {'helper':h, 'cut':cut, 'frame':frame, 'removed_scalar_events':removed, + 'preparation':preparation, 'cancellation':cancellation} + + +def owned_events(word): + n = word['public'] + return [e for e in word['program'] if e[1] >= n or (e[0] in ('ADD', 'COPY') and e[2] >= n)] + + +def construct(source, witnesses, L): + L.need([c['helper'] for c in witnesses] == [291,321,369], 'Three declared helper relations') + word, receipts = deepcopy(source), [] + before = L.replay(word) + for witness in witnesses: + old = word + word, receipt = relation(word, witness, L) + after = L.replay(word) + delta = Counter(after['paid']) + delta.subtract(before['paid']) + L.need({r:v for r,v in delta.items() if v} == {1:-1,5:-1,6:1}, 'One H1+H5 path becomes H6') + L.need(after['helpers'] == before['helpers'] and word['initial'] == old['initial'] + and word['final'] == old['final'], 'Every target and independent input stays fixed') + L.need(owned_events(word) == owned_events(old), 'Every owned operation is retained in order') + receipt.update(paid=after['paid'], events=len(word['program']), scalar=after['real_scalar_allowance']) + receipts.append(receipt) + before = after + return word, receipts, before diff --git a/research/p104-neutral-helper-cleanup/pricing.py b/research/p104-neutral-helper-cleanup/pricing.py new file mode 100644 index 0000000000..dc7f71a781 --- /dev/null +++ b/research/p104-neutral-helper-cleanup/pricing.py @@ -0,0 +1,174 @@ +"""Complete mixed-target price, compiler and outer transfer. + +The interval and compiler bounds follow zxv and Cao Yifan. The productive +recursion is by Jacob Alan Sussman. The controller is by Cinna Davis. +Adapted from Ali Romman's PR5544/5545 for the two coupled contact changes. +Successor choices were prepared for thu-nmrc with OpenAI Codex assistance. +Helper-subspace targets were added by Ali Romman with OpenAI Codex assistance. +The source commuting-contact construction is by Pierre-Loic Doulcet (hexapode) in PR5565. +The source coupled-frame change is by Ali Romman with OpenAI Codex in PR5601. +Five fixed boundary relations are from Ali Romman's PR5602. +The shared and delayed relays are from flyingviper's PR5605 and PR5612. The preparation is from +Scratch-net's PR5606. Their costs and target debit are included. +Ali Romman's complete caller/price proof and all predecessor credit are retained. +Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +import local as L + +KAPPA, TESTED = Q('.00310626335'), Q('.003106263355') +PREVIOUS = Q('.00310440546') + + +def encode(x): + if isinstance(x,Q): + return str(x) + if isinstance(x,dict): + return {str(k):encode(v) for k,v in x.items()} + if isinstance(x,(list,tuple)): + return [encode(v) for v in x] + return x + + +def assemble(local, native, word, physical): + paid, targets = Counter(), Counter() + counts = Counter() + L.need(local['helpers'] == native['helpers'], 'Every productive helper has a native target') + for e in word['physical_events']: + counts[e[0]] += 1 + if e[0] == 'LOCAL': + L.need(e[3] is False, 'Every source invocation is forward') + paid.update(local['paid']) + targets.update(local['helpers']) + elif e[0] == 'QUERY_SHEAR': + paid[1] += 104 + elif e[0] == 'IDLE': + paid[8*len(e[2])] += 208 + main = Counter() + idle = Counter({8*len(e[2]):0 for e in word['physical_events'] if e[0] == 'IDLE'}) + for e in word['physical_events']: + if e[0] == 'IDLE': + idle[8*len(e[2])] += 208 + L.need(idle == physical['whole_idle_jobs'], 'Every whole idle has a native Gaussian and full rank') + for term in word['diagonal']: + main[1+8*sum(term[1:])] += 104 + L.need(main == physical['main_targets'], 'Every main target has its full native phase') + targets.update(main) + L.need(counts['LOCAL'] == 18 and counts['QUERY_SHEAR'] == counts['IDLE'] == 15, 'Complete call census') + # Recount by the two path lengths, without using emitted main diagonals. + second_t = Counter({r:18*n for r,n in local['helpers'].items()}) + second_p = Counter({r:18*n for r,n in local['paid'].items()}) + second_t[145] += 208 + second_p[1] += 15*104 + for length in (7,8): + for j in range(1,length+1): + second_t[1+8*(j+1)] += 208 + second_p[8*(j+1)] += 208 + L.need((targets,paid) == (second_t,second_p), 'Independent full invoice') + L.need(max(targets) == 145 and max(paid) == 72, 'Maximum recursive ranks') + L.need(sum(targets.values()) == 12958 and sum(paid.values()) == 66492, 'Complete field and call counts') + L.need(sum(r*n for r,n in targets.items())-sum(r*n for r,n in paid.items()) == 760, 'Complete rank surplus') + return targets,paid,counts + + +def run(local,native,word,physical): + T,P,counts = assemble(local,native,word,physical) + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py','p104_productive_intervals') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py','p104_productive_second_intervals') + def margin(k): + a,b = E.moment(T,1-k), E.moment(P,1-k) + return a[0]-b[1],a[1]-b[0] + lo,hi,grid = 0,10**12,10**14 + while hi-lo > 1: + m=(lo+hi)//2 + if margin(Q(m,grid))[0] > 0: + lo=m + else: + hi=m + lower,upper = Q(lo,grid),Q(hi,grid) + signed = Counter(T) + signed.subtract(P) + cap = Q('.0034') + derivative_upper = Q(0) + for rank, count in signed.items(): + logarithm = E.log_bounds(rank) + low = E.mul(E.power(rank, 1-cap), logarithm)[0] + high = rank*logarithm[1] + derivative_upper -= count*(low if count >= 0 else high) + L.need(derivative_upper < 0, 'Unique raw crossing below the retained BIT cap') + L.need(margin(lower)[0] > 0 and margin(upper)[1] < 0, 'Strict rational crossing enclosure') + L.need(PREVIOUS < KAPPA < TESTED < lower and margin(PREVIOUS)[0] > 0, 'Changed complete bill improves the source claim') + t,u,v,c,b = 1-TESTED,Q(1,5),1024,17,18 + target,paid = E.moment(T,t),E.moment(P,t) + tl,th = other.moment(T,TESTED) + pl,ph = other.moment(P,TESTED) + L.need(tl > ph and max(tl,target[0]) <= min(th,target[1]) and max(pl,paid[0]) <= min(ph,paid[1]), 'Two exact moment engines') + alpha = E.divide(paid,target) + gamma = E.divide(E.moment(P,t+u),E.mul(E.power(c,u),target)) + delta = E.divide((Q(sum(T.values())*b),)*2,E.mul(E.power(c,TESTED),target)) + reserve,decay = Q(1,10**12),Q(39,40) + L.need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All three charged tail ratios') + L.need(decay**128 < Q(1,16), 'Both tail decay blocks') + normalized = 1/(1+v*reserve)+Q(4,2**32) + L.need(normalized < 1 and c**64 < b**63, 'Full completion, splitting and rounding charges') + theta,power = Q(63,64),1024 + eta = E.scale(E.power(145,-v*TESTED),t) + L.need(2*(c**v)**64 <= (145**v)**63 and eta[0] > theta**power, 'Shifted exits and complement capacity') + L.need(E.power(145,v*TESTED)[1] < 2**power, 'Compiler initial range') + gap = (TESTED-KAPPA)/7 + L.need(gap.numerator == 1, 'Exact compiler integer grid') + step = gap.denominator + def wins(j): + return (step*j+1)**power < 2**j + left,right=1,2 + while not wins(right): + left,right=right,2*right + while right-left > 1: + m=(left+right)//2 + if wins(m): + right=m + else: + left=m + H=step*right + L.need(H > 8*v and wins(right) and not wins(right-1), 'Finite uniform threshold with predecessor rejection') + local_routes = (sum(local['paid'].values())+native['helper_normalizers']+native['main_adapters']+4*104+4*local['owned_lifetimes'])*1000 + L.need(local['real_scalar_allowance']+local_routes < 10**7, 'Every local scalar, route and owned operation is funded') + boundary = sum(len(word['boundaries'][side+'_program']) for side in ('left','right')) + raw = 18*10**7 + 15*1664 + 32*104*(len(word['physical_events'])+boundary) + raw += 32*104*(26+1000) + L.need(raw < 10**9, 'Complete nonrecursive raw bound') + bit = L.read(L.ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom = Q(bit['atom']) + ordinary=(1-atom)*Q(bit['after_cover'])+atom*Q('.0000384599') + admitted=Q(bit['admitted']) + L.need(atom > ordinary > admitted > TESTED and atom < 1-ordinary, 'Retained BIT admission and stock') + outer_module=L.load(L.ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py','p104_productive_outer') + params={'kappa':KAPPA,'tested_saving':TESTED,'complex_uniform_saving':KAPPA+6*gap, + 'b':KAPPA+5*gap,'a':KAPPA+4*gap,'q':KAPPA+3*gap,'bit_saving':admitted, + 'epsilon':1-gap,'beta':1-3*gap,'r0':gap/10,'stop':gap,'layout':gap,'d':gap} + outer=outer_module.ledger(params) + outer['functional_checks']['actual_new_BIT_stock_sublinear']=params['beta']*(1-atom) + L.need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Complete outer predicate inventory') + L.need(all(x > 0 for key in ('strict_checks','functional_checks') for x in outer[key].values()), 'All outer inequalities strict') + wrong_cutoff = E.divide((Q(sum(T.values())*21),)*2,E.mul(E.power(20,TESTED),target)) + L.need(wrong_cutoff[0] > 1, 'Old cutoff fails with this helper inventory') + bad=outer_module.ledger(dict(params,bit_saving=Q('.0027'))) + L.need(any(x <= 0 for x in bad['strict_checks'].values()), 'Insufficient BIT contract rejected') + return encode({'kappa':KAPPA,'kappa_decimal':'.00310626335','previous_open_pr5627':PREVIOUS,'gain':KAPPA-PREVIOUS, + 'relative_gain_percent':100*(KAPPA/PREVIOUS-1),'raw_root_interval':[lower,upper], + 'raw_headroom':[lower-KAPPA,upper-KAPPA], + 'raw_ceiling':{'interval':[Q(0),cap],'derivative_upper':derivative_upper},'margin_at_previous':E.display(margin(PREVIOUS)), + 'targets':T,'paid':P,'productive_fields':sum(T.values()),'paid_calls':sum(P.values()), + 'rank_mass_surplus':760,'full_forward_calls':18,'query_shears':15,'whole_idle_jobs':3120, + 'strictification':{'tested':TESTED,'power':v,'cutoff':c,'floor':b,'tail_offset':u,'reserve':reserve,'tail_decay':decay,'tail_block':128, + 'alpha':E.display(alpha),'gamma':E.display(gamma),'delta':E.display(delta),'normalized_paid_upper':normalized}, + 'compiler':{'theta':theta,'logarithm_power':power,'eta':E.display(eta),'gap':gap,'H':H,'N':'2^'+str(H), + 'integer_test_exponent':right,'uniform_saving':params['complex_uniform_saving'],'word_materialized':False}, + 'nonrecursive':{'local_scalar':local['real_scalar_allowance'],'local_routes':local_routes, + 'raw_scalar_upper':raw,'raw_budget':10**9,'peak_owned_fields':local['peak_owned_fields'], + 'fixed_scalar_growth_bound':'At most 2^(16*26000) before native factors; a declared constant, not an attained norm.', + 'local_paid_rank_mass':local['paid_rank_mass'], + 'tensor_native_growth_bound':'Each rank-r Gaussian has row l1 norm at most 2^(rf); use local_paid_rank_mass for the whole word.'}, + 'ordinary_BIT':bit,'outer':outer, + 'negative_controls':{'old_cutoff':'Rejected by completion-tail ratio greater than one','old_BIT':'Rejected by outer inequalities'}}) diff --git a/research/p104-neutral-helper-cleanup/sources.py b/research/p104-neutral-helper-cleanup/sources.py new file mode 100644 index 0000000000..ea32e0a120 --- /dev/null +++ b/research/p104-neutral-helper-cleanup/sources.py @@ -0,0 +1,61 @@ +"""Authenticate the retained PR5627 export before any source import. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The archive checks follow the repository exporter and flyingviper's PR5613. +""" +from contextlib import contextmanager +from hashlib import sha1, sha256 +from pathlib import Path, PurePosixPath +import importlib.util +import io +import json +import sys +import tarfile +import tempfile + +HERE = Path(__file__).resolve().parent + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def load(path, name): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +@contextmanager +def sources(): + pin = json.loads((HERE/'SOURCES.json').read_bytes())['source_export'] + raw = (HERE/pin['local_path']).read_bytes() + need(sha256(raw).hexdigest() == pin['sha256'], 'Exact predecessor archive SHA256') + need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() == pin['git_blob'], + 'Exact retained archive Git blob') + with tempfile.TemporaryDirectory(prefix='p104-neutral-source-') as directory: + root, names = Path(directory), set() + with tarfile.open(fileobj=io.BytesIO(raw), mode='r:') as bundle: + for member in bundle.getmembers(): + path = PurePosixPath(member.name) + need(member.isfile() and not path.is_absolute() and '..' not in path.parts + and '\\' not in member.name and ':' not in member.name, + 'Regular relative source path') + need(member.name not in names, 'Unique source path') + names.add(member.name) + target = root.joinpath(*path.parts) + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes(bundle.extractfile(member).read()) + manifest = json.loads((root/'.research-export.json').read_bytes()) + need(manifest['commit'] == pin['commit'] and manifest['package'] == pin['package'] + and len(manifest['files']) == pin['files'], 'Exact source commit and inventory') + need(names == {'.research-export.json'} | {r['path'] for r in manifest['files']}, + 'No missing or additional source payload') + for row in manifest['files']: + payload = (root/row['path']).read_bytes() + need(len(payload) == row['size'] and sha256(payload).hexdigest() == row['sha256'], + 'Authenticated payload: '+row['path']) + yield root/pin['package'], root diff --git a/research/p104-neutral-helper-cleanup/verify.py b/research/p104-neutral-helper-cleanup/verify.py new file mode 100644 index 0000000000..b8763f22ea --- /dev/null +++ b/research/p104-neutral-helper-cleanup/verify.py @@ -0,0 +1,114 @@ +"""Verify the three helper relations and the complete conditional kappa. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +import argparse +from copy import deepcopy +import gzip +import json +from pathlib import Path +import sys +import tempfile + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +from sources import sources, load, need +import construct + + +def rejected(action): + try: + action() + except ValueError as error: + return str(error) + raise ValueError('An invalid certificate was accepted') + + +def run(): + witnesses = json.loads((HERE/'WITNESS.json').read_bytes()) + with sources() as (parent, root): + L = load(parent/'local.py', 'local') + source = L.read(parent/'WORD.json.gz') + old = L.replay(source) + word, changes, local = construct.construct(source, witnesses, L) + columns = L.reverse_columns(word) + need((local['public_inputs'],local['owned_fields'],local['owned_lifetimes'],local['peak_owned_fields']) == + (743,9,11,2), 'All independent inputs and owned lifetimes') + print('PASS three exact relations, unchanged targets and all 565504 matrix entries', flush=True) + native = L.native(word) + C = load(root/'research/p104-productive-controller/caller.py', 'neutral_caller') + caller = C.construct() + need(caller == L.read(root/'research/p104-productive-controller/CONTROLLER.json'), 'Exact retained controller') + physical = C.physical(caller, word) + print('PASS all native phases and the full physical caller', flush=True) + original_price = (parent/'pricing.py').read_text() + edits = [ + ("Q('.00310440546'), Q('.003104405465')", "Q('.00310626335'), Q('.003106263355')"), + ("PREVIOUS = Q('.00308595')", "PREVIOUS = Q('.00310440546')"), + ('== 66546', '== 66492'), + ("'kappa_decimal':'.00310440546'", "'kappa_decimal':'.00310626335'"), + ('previous_open_pr5601', 'previous_open_pr5627')] + for before, after in edits: + need(original_price.count(before) == 1, 'One declared price substitution') + original_price = original_price.replace(before, after) + need((HERE/'pricing.py').read_text() == original_price, 'Only declared price changes') + P = load(HERE/'pricing.py', 'neutral_price') + costs = P.run(local, native, caller, physical) + controls = C.controls(caller) + bad = deepcopy(witnesses[0]) + key = next(iter(bad['cancel'])) + bad['cancel'][key] = str(L.Q(bad['cancel'][key])+1) + controls['false_cancellation'] = rejected(lambda: construct.relation(source, bad, L)) + bad = deepcopy(witnesses[0]) + bad['cut'] += 1 + controls['wrong_cut'] = rejected(lambda: construct.relation(source, bad, L)) + bad = deepcopy(word) + bad['program'].pop(0) + controls['missing_input_basis'] = rejected(lambda: L.replay(bad)) + bad = deepcopy(word) + bad['program'].pop(max(i for i,e in enumerate(bad['program']) if e[0] == 'CLEAR')) + controls['missing_owned_erasure'] = rejected(lambda: L.replay(bad)) + bad = deepcopy(local) + bad['helpers'][1] += 1 + controls['extra_target_credit'] = rejected(lambda: P.assemble(bad,native,caller,physical)) + bad = deepcopy(local) + bad['paid'][1] -= 1 + controls['unpaid_query'] = rejected(lambda: P.assemble(bad,native,caller,physical)) + result = dict(status='PASS_P104_NEUTRAL_HELPER_KAPPA_00310626335', + source_commit='ed4dc88a09a7d201971f6603b8c2074e95dd9c32', + authenticated_source_files=36, changes=changes, + local_paid_delta={1:-3,5:-3,6:3}, local_helper_delta={}, + source_local=old, local=local, separate_columns=columns, + native=native, physical_caller=physical, complete_cost=costs, + negative_controls=controls, + limits=['The five selected framework assumptions and helper-endpoint contract remain.', + 'The enormous uniform word and complete rounded multiplier are not materialized.', + 'These author checks are not independent scientific review or a proof-kernel theorem.', + 'The improvement is small. No large gain or global optimum is established.']) + return P.encode(result), word + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--write', action='store_true') + args = parser.parse_args() + with tempfile.TemporaryDirectory(prefix='p104-neutral-bytecode-') as cache: + sys.pycache_prefix = cache + result, word = run() + for name, value in (('RESULT.json', result), ('WORD.json.gz', word)): + path = HERE/name + if args.write: + raw = (json.dumps(value,sort_keys=True,indent=None if name.endswith('.gz') else 2)+'\n').encode() + path.write_bytes(gzip.compress(raw,mtime=0) if name.endswith('.gz') else raw) + else: + raw = path.read_bytes() + need(json.loads(gzip.decompress(raw) if name.endswith('.gz') else raw) == value, + 'Exact saved artifact: '+name) + print(result['status']) + print(json.dumps({k:result['complete_cost'][k] for k in + ('kappa_decimal','gain','raw_root_interval','productive_fields','paid_calls')},sort_keys=True)) + + +if __name__ == '__main__': + main() From c5871955d89bf73506fd68b0a5bf1cf2b3153c02 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Sun, 25 Oct 2026 21:01:02 -0500 Subject: [PATCH 4/4] Record normal optimized and portable verification --- .../p104-neutral-helper-cleanup/VALIDATION.md | 38 ++++++++++++++++--- 1 file changed, 32 insertions(+), 6 deletions(-) diff --git a/research/p104-neutral-helper-cleanup/VALIDATION.md b/research/p104-neutral-helper-cleanup/VALIDATION.md index d4a794dd9c..c2c3fc079f 100644 --- a/research/p104-neutral-helper-cleanup/VALIDATION.md +++ b/research/p104-neutral-helper-cleanup/VALIDATION.md @@ -34,13 +34,39 @@ The final source export is an uncompressed tar file. Its exact bytes, Git blob, archive manifest and all 36 payload files are checked before imports. The export bytes are retained in an ancestor of this branch. -## Publication checks pending +## Completed publication checks -Registered normal and optimized replay, committed-byte comparison, export -integrity, a read-only Git-free replay and source-corruption controls will be -recorded before publication. Hosted CI and independent scientific acceptance -are separate. Full-history source-ancestry mode is unavailable in this shallow -checkout; direct source-byte and ancestor checks are used instead. +The registered normal and optimized replays both passed. They compared the +complete regenerated receipt and word with the saved artifacts. + +```sh +python3 -B scripts/research_package.py --package research/p104-neutral-helper-cleanup +python3 -B scripts/check_research_commit.py --package research/p104-neutral-helper-cleanup +python3 -B scripts/export_research_package.py export --package research/p104-neutral-helper-cleanup --ref 034db9706c0b4b6913a2347351656d52a2cbfe66 --output /tmp/p104-neutral-clean.tar +python3 -B scripts/export_research_package.py check /tmp/p104-neutral-clean.tar +``` + +Expected and observed markers were `PASS_REGISTERED_RESEARCH_PACKAGE`, +`PASS_RESEARCH_COMMIT_BYTES` and `PASS_RESEARCH_EXPORT`. All 15 package files +matched scientific commit `034db9706c0b4b6913a2347351656d52a2cbfe66`. + +A fresh export passed optimized replay without Git and with an empty PATH. +All 16 exported files, including the export manifest, were read-only. Their +hashes and modes stayed unchanged. Replay took 73.01 seconds. It used the +same Python 3.12 standard library and compared the complete receipt and word. + +Three separate source-corruption cases were rejected in normal and optimized +mode: a changed archive byte, a changed payload with rebound outer archive +hashes, and an omitted payload with rebound outer hashes. The last two reach +the payload and inventory checks. No source code from a damaged export is +imported. Controls ran in isolated temporary copies. + +The full-history source-ancestry mode was not run. This checkout is shallow +and the tool requires full history. The task base and retained-export commit +are direct ancestors of the publication commit; their source bytes and the +Git-free replay are checked. Hosted CI and independent scientific acceptance +remain separate. GitHub body rendering and link checks will be retained in +the Discussion handoff after publication. ## Coordination