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column 34", + "wrong_cut_normalizer": "Actual normalized query cut" + }, + "inputs_sha256": { + "base": "8c58adc35a7055dde1eda8f2547492dda9f558a73262fc17f439819c39d2555e", + "witness": "4c820b99eb1ebebd7cd527f07b0aa86a355865072acace8bfc9fddd998086331", + "word": "2a0fb1c11fccfcc4dacbc7c82cf439969caa295dba4fc1a21a83e01b4ab8affc" + }, + "pair": { + "column_identity": "P d = S b", + "cut_after": 353, + "cut_pairing": "1", + "fresh_variables": 18, + "input_pairing": "1", + "row_identity": "a P = S c", + "unpaid_stage_factors_in_bases": false + }, + "scope": "Independent exact logical caller only. No native/all-width phase replay, no framework discharge or admission claim.", + "status": "PASS_INDEPENDENT_NEW_ROOT_DUAL_PAIR_AND_ALL_INPUTS", + "word": { + "coefficient_equalities": 1225, + "events": 586, + "formal_fresh_variables": 18, + "independent_inputs": 35 + } +} diff --git a/research/p104-common-idle-double-retirement/LICENSE b/research/p104-common-idle-double-retirement/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/p104-common-idle-double-retirement/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Apache-2.0. +Author-side validation only; no independent scientific acceptance is claimed. + +Binary query suppliers, common-projector root and normalization, and dual-pair retirement methods retain Cinna Davis, Ali Romman and the complete retained predecessor credit. +All original source files and nested notices remain unchanged. + +Preserved predecessor notice: + +Paid-job merges in the PR6529 native word, price and integration: +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Apache-2.0. +No independent scientific acceptance is claimed. + +Caller, retirement-aware tree allocation, proof and checks (PR6551): +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +The executable source is retained in source.tar from original head +775722aa94a5e85b05d1d704d7dca10cbf016f0c (PR6545), with the PR6529 layer +edited as described in README.md. +RETAINED.json binds original paths, Git blobs and SHA256 values. Original +source headers and notices remain; the PR6529 verifier, pricing and word are +edited as described in README.md. ADAPTERS.json records +all changes to the source drivers, constructor and price. Runtime driver +and constructor copies are created in a private temporary directory. + +PR6545: independent Gaussian retirement, exact dual pairs and complete caller. +PR5599/5602/5611/5615: causal handoff, productive helper and basis methods. +PR6348/6398: binary query suppliers and the six-field mixed root. +PR6529: scaled transport fusion and the complete native word. +PR6524: explicit complete replay interfaces. + +Credit Rohan Arun's PR6399/6417, Erwan L.'s PR6453, DreamingOfClouds' PR6375, +PR6353/6372 and all retained native predecessors. Native work retains +Cinna Davis, David Arias, Gareth Davidson and their predecessors. Productive +recursion retains Jacob Alan Sussman's credit. Price and interval work +retains zxv, Cao Yifan, ywz65 and Nick Petalas's credit. + +Other retained contributors include Mason Hale, Pierre-Loic Doulcet and +Chris R / Clear1nsight. The source archive and its nested notices retain +the complete native, helper, compiler and analytic source attribution. diff --git a/research/p104-common-idle-double-retirement/PROOF.md b/research/p104-common-idle-double-retirement/PROOF.md new file mode 100644 index 0000000000..d9b169991b --- /dev/null +++ b/research/p104-common-idle-double-retirement/PROOF.md @@ -0,0 +1,279 @@ +# A common-idle root with a new independent continuation + +This is a conditional construction at the exact native boundary of PR6702. +The proof uses no approximate border, limiting parameter or unpriced +Gaussian repair. New notation below describes the actual emitted word. + +## 1. Normalize the actual central operator + +Let `q=Q^-1` be the source central Gaussian. The source physical checker +verifies `q^2=X`, where X is an ordinary translation with phase+1, and +`X^2=I`. Set + +```text +lambda = (1+i)I/2 + (1-i)X/2, +lambda^-1 = (1-i)I/2 + (1+i)X/2, +S = lambda*q. +``` + +Then `lambda^2=X`, `S^2=I`, and `lambda^-1*S=q`. All commute with the fresh +stage operators. A native full supplier `D U(q)` becomes `D U(S)` by +ordinary lambda conjugation on its query destination; an ordinary ADD +changes this to `D U(S-1)`. A thin query receives the same conjugation +and retains its paidH1 charge. Each emitted LAMBDA uses the retained +four-operation in-place two-address-pair map. It adds no productive input. + +For each positive column multiplicity f, these formulas use the actual +global `q_f` and its square. The coefficients of lambda remain outside the +tensor power. In general this S is not the tensor power of a one-column S. + +## 2. The exact root and its common idle subspace + +`ROOT.json` lists the nine rational rank-one square-zero matrices R_i, +ordinary native bases and five commuting coordinate projectors P_i. +All coefficients are dyadic. The full sites are0,1,2,7,8. Direct exact +multiplication gives + +```text +(I-2R_8) ... (I-2R_0) = -I_8. +``` + +At every full site, `P_i R_i=R_i P_i=R_i`, and P_i commutes with its +complete query prefix. Consequently each independent stage factor can +move past its query prefix. The plus/minus central characters give +`S*diag(stage products)`. The checker also multiplies the 64 combinations +of the two central characters and five stage nodes{1,2}. Degree at most +one in each independent stage variable makes this an exact coefficient +check, not a numerical sample. + +The stage supports, in the eight input/output coordinates, are + +| Site | Support | Rank | +|---|---|---:| +|0|0,1|2| +|1|0,1,6,7|4| +|2|0,1,6,7|4| +|7|0,2,4|3| +|8|0,2|2| + +The eight Gaussian output masks are + +```text +ABCDE, ABC, DE, empty, D, empty, BC, BC. +``` + +For the actual single ordinary basis C used across sites 1 and 2, + +```text +C^-1 R_1 C = E01, C^-1 R_2 C = -E10, +C^-1 P_1 C = C^-1 P_2 C = diag(1,1,1,1,0,0,0,0). +``` + +Both queries and both child suppliers touch only the first two active +coordinates and their separately named binary auxiliaries. Coordinates2 +and 3 are neither read nor written by these operations. Each therefore +needs exactly `D_B D_C` on its own unchanged payload. The B and C axes +are disjoint fresh blocks; their two positive transforms combine into +one rank-`8(B+C)` job on each of these two coordinates. The emitted IDLE +opcode pays **two** such jobs. It does not treat two independent arrays +as one call or copy an input to gain another target. + +The remaining rank-three site 7 pays its single wholeD idle. All native +two-field work and 17 thin queries remain paid. + +## 3. Binary suppliers and the complete source interface + +Use the retained binary query extension on child sizes `(4,2,3,4,5)`. +Its13 internal node sizes are `{2:8,3:2,4:2,5:1}`. Each internal node has +its own two arbitrary productive auxiliary inputs, two charged whole +idles and one paid thin query. The resulting unretired caller has 34 +independent main inputs. None is assumed zero or supplied by copying +another productive input. + +The18 LOCAL invocations are the exact PR6702 native word, in stage order +1 through 18. Every invocation gets all 563 independent native helpers, +the same771 public native labels and 29 owned labels. The47 native owned +lifetimes, peak14 and 18,577-event program are unchanged. Lambda and basis +maps occur only on main fields outside the source invocation. Thus +arbitrary-input native correctness applies to their current contents. + +## 4. Source-specific two-sided cut + +Let P be the literal unretired prefix through zero-based event 353, after +the lambda return following its first D-child thin query. This D child +contains fresh stages 10 through 13. Main fields 4,20,21 have the same +complete `S D` target after ordinary output normalization. Set + +```text +a = e1^T - e20^T + e21^T, +b = -2e0 + 2e2 - 2e20 - e21, +c = e20^T - e4^T, +d = -e4 - e21. +``` + +Exact full-ring checks give + +```text +ab = cd = 1, aP = S c, Pd = S b. +``` + +These identities retain all 18 distinct stage variables and `Q^4=I`. +They do not specialize the central square to identity. All four vectors +are ordinary rational dyadics; no unavailable S or stage transform is +hidden in a basis coefficient. + +The literal ordinary words G and J in WITNESS.json satisfy + +```text +e4^T G = c, Gd=e4, +e4^T J = a, Jb=e4. +``` + +G has three gates and J six. Applying `G^-1` at input and J at the cut +makes the pivot row and column of `J P G^-1` exactly `S e4`. It is +therefore `S ⊕ K`, with no coupling to any other independent input. +G mixes only fields 4,20,21 with equal complete normalized targets, so +G commutes with the complete endpoint. The matching suffix has pivot +block D and no coupling to the other fields. + +Return the completed S pivot. Give that suffix a **new independent input** +in field34, and rename pivot4 to 34 in `J^-1` and all later gates, including +the final G. No gate touches field34 before this handoff. The two inputs +then receive S and D separately in place of one S D. Restore lambda on +the original group. The original pivot receives q and the new field +receives the plain rank 32 Gaussian, with no earned central factor. + +The final caller has 35 independent main inputs and 586 instructions. +Forward and reverse-row engines check all 1,225 coefficient positions; +deleting the input basis, handoff or return, or giving the fresh field +an extra central target, is rejected. Every paid job before and after +retirement has the same stage set, sign and chronological order. + +## 5. Full invoice and strict improvement + +Count every LOCAL helper target/paid call18 times, every thin query104 +times, both fields of every paired idle, the individualD idle, and all 35 +main outputs. The independent formula equals the literal event/endpoint +invoice. The totals are13,774 productive fields,66,956 paid jobs, +target rank mass179,048 and paid rank mass178,288. Their surplus is 760. + +For `H_r=r^t`, `0 0. +``` + +This is a second-retirement-equivalent **invoice** improvement. The emitted +new word contains one explicit fresh-input retirement, `H33 -> H1+H32`. +The shared-idle/root change supplies the other part of the comparison. +Fusion alone only matches the preceding best signed tariff after its own +child-size optimization; the new fresh-input proof is necessary. + +A negative derivative bound through the retained BIT cap makes the raw +crossing unique. This fixed invoice cannot reach0.0033042804236. No global +caller or native-word optimality is claimed. + +At canonical main `7c49fe32c55de02c2c873655c804b16e4c3fef0a`, the selected +result is PR6030, conditional κ=0.003125804. This contribution compares with +the stronger pending P104 source PR6702. It does not claim to dominate +different, unadmitted research-family proposals. + +## Reproduce + +Python 3.12 and the standard library; no network, solver, NumPy, SymPy, +Lean or Docker is required by the registered replay. + +```sh +python3.12 -I -B research/p104-common-idle-double-retirement/verify.py +python3.12 -I -O -B research/p104-common-idle-double-retirement/verify.py +``` + +The final marker is `PASS_CONDITIONAL_KAPPA_00330420_COMMON_IDLE_RETIREMENT`. +Direct replay works in a Git-free package export. `--write-result` explicitly +regenerates only the new RESULT.json; ordinary replay is read-only. The +retained source files and their expected receipts are never regenerated or +weakened. [VALIDATION.md](VALIDATION.md) records the actual executions. + +## Independent caller-application supplement + +[application/COVERAGE.md](application/COVERAGE.md) records the exact coverage +and remaining native-lineage obligations relative to the selected6030 review. +The separate standard-library implementation imports no author replay, +native, physical or pricing engine. It independently checks all7,488 caller +contact phases and inverse translations, the original6702 physical positive +control, the fused two-packet idle and single IDLE_ONE, the literal353/362 +ownership boundary, chronological native flags/lifetimes and the full event +invoice. Its global-Lambda control keeps scalar coefficients outside tensors. + +The two added registered normal/optimized commands read only bundled inputs +and run without Git or network. Their empty-PATH executions are recorded in +application/VALIDATION.json. The optional source_chain.py authenticates the +original17 source files and nested native-word container without executing +source code. No historical full native suite is rerun by this supplement. + +The14,400-slot integer field map is a new conservative construction, not an +exported literal machine/compiler allocation. It fits the published raw +W+O=16,388 lifetime envelope by definition; clean stock, movement and physical +production allocation remain inherited interfaces. The2,939 internal native +maps and800 native scalar columns are not newly replayed by this checker. +All evidence is author-side; the five assumptions, external application +review and selected-frontier status are unchanged. + +## Scope and predecessor credit + +The inherited assumptions are `native_all_columns`, `owned_erasure`, +`compiler`, `precision_tape` and `analytic_recovery`. Finite native tests +do not discharge these quantified hypotheses. The huge winning uniform +word, rounded multiplier and full multiplication theorem are not materialized +or formally verified. A passing replay is author-side evidence, not admission. + +The full native word is inherited unchanged from PR6702 at +`edd6a37a9ff87b254fb7466184348d1432d0c8c0`, by DreamingOfClouds with Claude +assistance. The binary query supplier is from PR6348, and common-projector +roots/normalization are from PR6398, by Ali Romman building on Cinna Davis's +query/controller lineage. The two-sided retirement method is inherited from +PR6545 and the PR5599 dual-pair lineage; PR6551 supplies the preceding +rebalanced tree comparison. All native/helper, Clifford, compiler, BIT, +precision and analytic predecessors retain their credit and notices. + +The new contribution is the rank-(2,4,4,3,2) source-compatible root, +actual common-idle implementation, its new fresh-input cut and complete +source-bound price. It does not claim invention of binary refinement, +central normalization, dual-pair retirement or productive recursion. +Prepared for **thu-nmrc with substantial OpenAI Codex assistance**, including +parallel mathematical and verification agents. All validation here is +author-side; no external independent reviewer is implied. Apache-2.0. + +`SOURCE6702.json` authenticates the 17 unchanged top-level predecessor files +by SHA256 and Git blob. Its nested runtime archives retain their original +manifests. The source's SOURCES.json contains a stale outer archive digest; +its actual source.tar and executable RETAINED.json agree. This package pins +the actual bytes and preserves that historical metadata without editing it. + +## Open next questions + +- Independently audit the actual common-idle bank and the new two-sided + fresh-input cut, then replay this package. This is the gate to scientific + adoption; archive merging or CI success alone is insufficient. +- Can another exact caller or source-specific split beat the fixed-invoice + ceiling? Start with a complete signed budget and independent-input + identity. More digits of this crossing do not supply a new construction. +- Can the remaining quantified framework assumptions be discharged for the + consumed source and full recursive interface? Finite coefficient and + phase checks do not settle those all-size obligations. diff --git a/research/p104-common-idle-double-retirement/RESULT.json b/research/p104-common-idle-double-retirement/RESULT.json new file mode 100644 index 0000000000..b639cbca36 --- /dev/null +++ b/research/p104-common-idle-double-retirement/RESULT.json @@ -0,0 +1,418 @@ +{ + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "candidate": { + "caller": { + "coefficients": 1225, + "event_sha256": "a709b88887852095b1c2f494f370b7d837d13eba040edeb4de21b331d9d71f49", + "events": 586, + "inputs": 35, + "native_stages": 18 + }, + "changes": { + "gain": "33/5000000", + "interpretation": "Second-retirement-equivalent signed gain; not two literal retirements.", + "literal_retirement_operations": 1, + "new_claim": "16521/5000000", + "previous_claim": "0.00329760", + "proof": "Strict subadditivity supplies the first positive summand; decreasing concave increments supply the second.", + "rank_mass_delta": 0, + "signed_histogram_delta": { + "1": 104, + "16": 104, + "17": -104, + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "source_crossing_upper": "164881067399896280760569/50000000000000000000000000", + "strict_gain_for_all_powers": "104*(H1+H16-H17)+208*((H41-H40)-(H57-H56)) > 0 for H(r)=r^t, 0 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999253/350000000000", + "fixed_halo_explicit_metadata_branch": "26950000001/350000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799997009/1400000000000", + "new_semantic_group_guard": "3/1400000000" + }, + "margins": { + "boundary_algebraic_matrix": "6476237595374117/1960000000000000000", + "fused_gaussian": "6476237586122351/1960000000000000000", + "global_coordinate_router": "1156471/350000000", + "group_bit_router": "1619059746530587/490000000000000000", + "group_scans": "699999999/700000000", + "main_transform": "6476236195374117/1960000000000000000", + "microbox_face_corrections": "26950000001/350000000", + "polynomial_products": "1399999999/1400000000", + "sparse_union_movement": "802726237595374117/1960000000000000000" + }, + "parameters": { + "a": "1156471/350000000", + "b": "925177/280000000", + "beta": "1399999997/1400000000", + "bit_saving": "17/5000", + "cap_xi": "1782726236195374117/1960000000000000000", + "complex_uniform_saving": "2312943/700000000", + "d": "1/1400000000", + "epsilon": "1399999999/1400000000", + "kappa": "16521/5000000", + "lambda_": "398678319/400000000", + "lambda_prime": "1395374117/1400000000", + "layout": "1/1400000000", + "q": "4625883/1400000000", + "r0": "1/14000000000", + "stop": "1/1400000000", + "tested_saving": "660841/200000000" + }, + "strict_checks": { + "actual_bit_above_effective": "33529/350000000", + "actual_logarithmic_gamma_guard": "1/1400000000", + "actual_logarithmic_group_guard": "177273765904625883/980000000000000000", + "alpha_logarithm_absorption": "1/14000000000", + "boundary_algebraic_matrix_above_kappa": "5595374117/1960000000000000000", + "cap_above_band": "802726236195374117/1960000000000000000", + "cap_below_cell": "177273762404625883/1960000000000000000", + "cap_below_phase_cell_power": "2137273763804625883/1960000000000000000", + "complex_above_effective": "1/1400000000", + "complex_below_one_over_32": "7824823/280000000", + "complex_endpoint": "1/700000000", + "epsilon_below_one": "1/1400000000", + "epsilon_positive": "1399999999/1400000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586122351/1960000000000000000", + "gaussian_above_main": "695374117/980000000000000000", + "global_coordinate_router_above_kappa": "1/350000000", + "global_gamma_power_slack": "9/14000000000", + "group_below_dimension": "1/700000000", + "group_bit_router_above_kappa": "1746530587/490000000000000000", + "group_gauge_power_slack": "177273765834625883/980000000000000000", + "group_key_fits_record": "1/700000000", + "group_positive": "1399999997/1400000000", + "group_scans_above_kappa": "697687059/700000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "786614790400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000", + "lambda_above_sigma": "3/2800000000", + "lambda_above_tau": "1/2800000000", + "lambda_prime_above_lambda": "1/2800000000", + "lambda_prime_above_leaf": "559074823/392000000000000000", + "leaf_saving_above_effective": "279074823/392000000000000000", + "main_transform_above_kappa": "4195374117/1960000000000000000", + "membership_arithmetic_fits_record": "1/1400000000", + "microbox_face_corrections_above_kappa": "26948843531/350000000", + "microbox_halo_volume": "110600000003/1400000000", + "new_complex_uniform_saving_above_b": "1/1400000000", + "new_semantic_guard_with_C1_one": "1/1400000000", + "polynomial_products_above_kappa": "1395374119/1400000000", + "positive_layout_slack": "1/1400000000", + "q_below_effective": "1/1400000000", + "q_below_internal": "1/1400000000", + "q_below_leaf": "559074823/392000000000000000", + "q_positive": "4625883/1400000000", + "short_record_fallback": "279074823/280000000", + "source_axis_superpolynomial": "1/1400000000", + "sparse_union_movement_above_kappa": "796250005595374117/1960000000000000000", + "stop_below_one": "1399999999/1400000000", + "stop_positive": "1/1400000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000", + "union_tag_work_per_visit_fits_record": "3/1400000000" + } + }, + "paid": { + "1": 41926, + "16": 1664, + "2": 8172, + "24": 416, + "3": 8820, + "32": 520, + "4": 1962, + "40": 416, + "5": 2736, + "6": 144, + "7": 162, + "8": 18 + }, + "paid_calls": 66956, + "productive_fields": 13774, + "rank_mass_surplus": 760, + 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Does not itself verify those scientific inputs, discharge inherited assumptions, establish scientific admission, or change selected kappa.", + "source_assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "status": "PASS_COMMON_IDLE_SECOND_RETIREMENT_COMPLETE_PRICE", + "strictification": { + "alpha": { + "lower": "0.999999902802669509761975112743", + "upper": "0.999999902802669509761975112744" + }, + "cutoff": 11, + "decay": "31/32", + "delta": { + "lower": "0.924920225843345581756322290212", + "upper": "0.924920225843345581756322290213" + }, + "floor": 12, + "gamma": { + "lower": "0.920220774548954055655620414799", + "upper": "0.920220774548954055655620414800" + }, + "normalized_upper": 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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": "changed", + "actual_scope": "Replace the pending PR6702 caller with an exact8-field9-query common-projector root, combine two actual common idle directions, and prove a source-specific independent continuation at cut353; retain and fully replay the native source.", + "scope_change_reason": "Explicit continuing user goal requests original fully charged frontier improvements. Narrow unchanged-native and border precision gates were negative; the new source-compatible rank-(2,4,4,3,2) root changes the caller geometry and has a positive complete budget before full replay.", + "selection_method": "Continuing explicit user-assigned objective; catalogue card retained for provenance, not a claim of a fresh random draw.", + "bottleneck_link": "A shared-idle matrix pattern is insufficient without a real bank and fresh arbitrary-input cut. Both are bound to the literal word, full physical maps and complete signed invoice; the new cutoff must also be funded.", + "stop_rule": "Reject any missing independent input, unpaid idle/repair, incorrect full coefficient, source byte drift, physical phase failure, failed complete moment, compiler or outer condition. Do not change selected files or infer scientific admission from CI.", + "outcome": "completed", + "evidence": "PROOF.md; ROOT.json; CONTROLLER.json; WITNESS.json; RESULT.json; VALIDATION.md; registered full replay.; application/COVERAGE.md and independently implemented source-bound application/phase/ownership evidence.", + "author": "thu-nmrc", + "ai_assistance": "Substantial OpenAI Codex assistance including parallel discovery, overlap, mathematical review, independent exact verification and writing. All checks are author-side, not external scientific review.", + "open_questions": [ + { + "question": "Will an independent scientific reviewer admit the actual common-idle/fresh-input caller?", + "why_it_matters": "The goal is scientific incorporation; archive intake or CI is insufficient.", + "first_step": "Inspect application/COVERAGE.md and its exact source-bound original/candidate controls, then focus remaining review on the native-lineage difference and actual inherited implementation boundaries; the unchanged complete source replay remains required.", + "blocked_by": "External review and maintainer admission remain pending." + }, + { + "question": "Can a changed caller or source contract beat the fixed raw ceiling0.0033042804236?", + "why_it_matters": "More digits of this invoice do not advance the construction.", + "first_step": "Provide a changed complete signed profile and a source-compatible arbitrary-input identity before a larger replay.", + "blocked_by": "No global optimality or new profitable source change is supplied." + }, + { + "question": "Can the inherited quantified native/compiler/precision/analytic obligations be discharged?", + "why_it_matters": "Finite exact certificates do not prove the complete multiplication theorem.", + "first_step": "Choose one actual quantified interface and bind its full caller and costs.", + "blocked_by": "The five framework premises are retained." + } + ], + "application_supplement": { + "source_head": "a467457692bc9e11113d9b2e2e34ea8ffb553b58", + "status": "author-checked separate implementation, external application admission pending", + "new_evidence": [ + "application/COVERAGE.md", + "application/APPLICATION.json", + "application/SOURCE-CHAIN.json", + "application/VALIDATION.json" + ], + "retained_obligations": "Internal2939-map and800-column source correctness reused from unchanged source replay; actual production allocation and all five framework assumptions remain. The14400-slot map is a new conservative construction, not an emitted tape trace." + } +} diff --git a/research/p104-common-idle-double-retirement/VALIDATION.md b/research/p104-common-idle-double-retirement/VALIDATION.md new file mode 100644 index 0000000000..0c4004f59c --- /dev/null +++ b/research/p104-common-idle-double-retirement/VALIDATION.md @@ -0,0 +1,110 @@ +# Executed validation + +Author-side validation on 2026-11-05 Asia/Shanghai (2026-11-04 UTC), +macOS arm64, CPython 3.12.13. No external scientific review is implied. +Canonical base 7c49fe32c55de02c2c873655c804b16e4c3fef0a and source PR6702 +head edd6a37a9ff87b254fb7466184348d1432d0c8c0 were refreshed unchanged +before submission. + +## Complete source and candidate runs + +```sh +python3.12 -I -B research/p104-common-idle-double-retirement/verify.py --write-result +python3.12 -I -O -B research/p104-common-idle-double-retirement/verify.py +``` + +Both exited0 with +`PASS_CONDITIONAL_KAPPA_00330420_COMMON_IDLE_RETIREMENT`. +The final normal regeneration took 105.73s wall time and optimized +read-only replay108.31s on this machine. An earlier complete construction +run also passed before adding the signed-comparison/scalar integration. +The final normal run explicitly regenerated only the new RESULT.json; +the optimized run recomputed and compared that entire receipt exactly. + +Both final runs executed every retained source check and saved-receipt +comparison unchanged, including source construction/zero-scratch controls, +800 native columns and 640,000 coefficient positions, absolute native +phases, owned lifetimes, old caller/retirement/compiler prices and +physical maps. The new checks then covered: + +- The64 exact root character/stage cases and common two-coordinate idle + block, with native basis maps checked over rational matrices. +- The34-input unretired caller and 35-input final caller, all 1,225 final + forward and reverse-row coefficient positions. +- Both input and cut dual pairings, `Pd=Sb` and `aP=Sc`, and the ordinary + G/J row/column identities at actual cut 353. +- All7,488 new physical main contacts,53,248 central-square columns, + all 35×104 main target phases and every paired/individual whole idle. +- The complete event/formula invoice, all 563 native helper credits, + independent fresh field34 and zero rank-mass delta in the exact gain. +- Both rational moment engines, the strict raw bracket, unique-crossing + derivative,11/12 completion, explicit compiler rank and all 54+4 outer + predicates. The old12/13 completion is explicitly rejected. +- Actual per-instruction scalar work/height, including coefficient 37, + all 110 LAMBDA operations, and the new252,020,208 ordinary upper bound. +- Missing native/query/idle/normalization/basis gates, missing handoff or + return, repeated fused axes, an unearned fresh central target, an unpaid + native job and extra productive credit are rejected. + +Full run logs are retained in `validation/normal.log` and +`validation/optimized.log`. + +## Separately written logical engine and package pins + +```sh +python3.12 -I -B research/p104-common-idle-double-retirement/independent_word.py +python3.12 -I -O -B research/p104-common-idle-double-retirement/independent_word.py +python3.12 -B scripts/research_package.py --package research/p104-common-idle-double-retirement --check-only +``` + +Both independent logical runs exited0 in about 0.1s and matched the complete +INDEPENDENT.json receipt. This standard-library implementation imports none +of the author's constructor, replay or algebra modules. It checks all 35 +independent columns and the cut identities directly, plus five rejected +controls. It does not independently replay native phases. It was written +by a parallel AI agent in the same author session, not an external reviewer. + +The metadata/provenance check returned +`PASS_PACKAGE_METADATA_AND_PINS (not a mathematical acceptance check)`. +All17 frozen top-level PR6702 files match both SHA256 and original Git blob +pins; the source verifier authenticates the nested runtime archives. + +## Unrun or retained obligations + +The selected frontier was not edited or cold-replayed. No global native +optimization, full all-size framework proof, Lean theorem, Docker build, +materialized winning compiler word or practical multiplication benchmark +was run. The same five framework assumptions, including native lifting, +movement/precision/tape rates and analytic recovery, remain explicit. +CI and archive integration, if obtained later, are separate from scientific +admission. + +## Supplemental independent application evidence + +The original full primary and logical checks above are unchanged; they were +not rerun locally for this supplemental source-bound audit. The new files are +application/, frozen before integration. Normal and optimized executions of +application/delta_physical.py passed read-only with empty PATH in8.25s and +8.04s, with identical output. The default uses only HERE-relative inputs and +the standard library; no Git/network/source implementation is imported. +Optional source_chain.py normal/optimized checks also passed, reading only +the original pinned containers and executing no retained source code. + +The new application receipt independently matches all7,488 main contacts, +original6702 physical-interface positive control, full idle/target histograms, +owned/chart chronology, common-idle packets, literal cut ownership, and the +complete66,956-paid/13,774-productive invoice. The14,400-slot map is explicitly +a conservative construction compatible with the published raw W+O envelope, +not a literal allocator trace. Internal2,939 maps,800 scalar native columns, +full completion/compiler/outer checks and the five framework assumptions are +not newly proved or replayed by this checker. See application/COVERAGE.md, +application/APPLICATION.json, application/SOURCE-CHAIN.json, +application/VALIDATION.json and application/FILES.json for exact +source, method, attribution and execution boundaries. These are author-side +checks, not external review or scientific admission. + +The registered addition keeps all original command arguments and scientific +code. The two primary timeout allowances are535s each (previously590s), +so the declared total remains exactly1200s after adding the two60s application +checks; the existing logical checks retain5s each. The observed original +full checks were105.73s/108.31s locally. No mathematical check was removed. diff --git a/research/p104-common-idle-double-retirement/VERIFY.json b/research/p104-common-idle-double-retirement/VERIFY.json new file mode 100644 index 0000000000..510b10a984 --- /dev/null +++ b/research/p104-common-idle-double-retirement/VERIFY.json @@ -0,0 +1,72 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 535, + "checks": "Full unchanged PR6702 source rebuild,800 native columns/absolute phases and owned lifetimes; new35-input full forward/reverse coefficients, common idle basis, fresh dual pairs,7488 physical contacts, complete signed gain, two rational prices,11/12 completion, explicit compiler and54+4 outer predicates." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 535, + "checks": "Complete optimized-mode replay of the same scientific source and changed construction with explicit checks that remain active under -O." + }, + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/independent_word.py" + ], + "timeout_seconds": 5, + "checks": "Separately written standard-library Fraction/Laurent implementation, all35 independent input columns,1225 coefficient equalities, both direct cut identities, ordinary dual bases and five rejected semantic controls." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/independent_word.py" + ], + "timeout_seconds": 5, + "checks": "Separately written standard-library Fraction/Laurent implementation, all35 independent input columns,1225 coefficient equalities, both direct cut identities, ordinary dual bases and five rejected semantic controls." + }, + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/application/delta_physical.py" + ], + "timeout_seconds": 60, + "checks": "Separate source-bound physical caller phases/routes, original6702 physical positive control, common/individual whole-idle packets, actual fresh ownership and native chart/lifetime scan, conservative disjoint integer field map and complete event bill. No internal2939 native-map or800-column scalar replay; no physical allocator/framework discharge or external admission." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/application/delta_physical.py" + ], + "timeout_seconds": 60, + "checks": "Separate source-bound physical caller phases/routes, original6702 physical positive control, common/individual whole-idle packets, actual fresh ownership and native chart/lifetime scan, conservative disjoint integer field map and complete event bill. No internal2939 native-map or800-column scalar replay; no physical allocator/framework discharge or external admission." + } + ] +} diff --git a/research/p104-common-idle-double-retirement/WITNESS.json b/research/p104-common-idle-double-retirement/WITNESS.json new file mode 100644 index 0000000000..01c87980b1 --- /dev/null +++ b/research/p104-common-idle-double-retirement/WITNESS.json @@ -0,0 +1,86 @@ +{ + "cut_after": 353, + "handoff_after": 362, + "pivot": 4, + "fresh": 34, + "group": [ + 4, + 20, + 21 + ], + "boundary": [ + [ + "SCALE", + 4, + "-1" + ], + [ + "ADD", + 21, + 4, + "1" + ], + [ + "ADD", + 4, + 20, + "1" + ] + ], + "middle": [ + [ + "SWAP", + 4, + 21 + ], + [ + "ADD", + 4, + 1, + "1" + ], + [ + "ADD", + 4, + 20, + "-1" + ], + [ + "ADD", + 0, + 4, + "2" + ], + [ + "ADD", + 2, + 4, + "-2" + ], + [ + "ADD", + 20, + 4, + "2" + ] + ], + "a": { + "1": "1", + "20": "-1", + "21": "1" + }, + "b": { + "0": "-2", + "2": "2", + "20": "-2", + "21": "-1" + }, + "c": { + "20": "1", + "4": "-1" + }, + "d": { + "4": "-1", + "21": "-1" + } +} diff --git a/research/p104-common-idle-double-retirement/algebra.py b/research/p104-common-idle-double-retirement/algebra.py new file mode 100644 index 0000000000..a06d6f6416 --- /dev/null +++ b/research/p104-common-idle-double-retirement/algebra.py @@ -0,0 +1,74 @@ +"""Exact rational matrices and coefficients in Q(i). + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from fractions import Fraction as Q + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def matrix(rows): + return [[Q(x) for x in row] for row in rows] + + +def eye(n): + return matrix([[int(i == j) for j in range(n)] for i in range(n)]) + + +def multiply(a, b): + return [[sum(x*y for x, y in zip(row, column)) for column in zip(*b)] for row in a] + + +def add(a, b, scale=1): + return [[x+scale*y for x, y in zip(row, other)] for row, other in zip(a, b)] + + +def inverse(a): + n = len(a) + rows = [row[:] + identity for row, identity in zip(a, eye(n))] + for j in range(n): + k = next((k for k in range(j, n) if rows[k][j]), None) + need(k is not None, 'Nonsingular rational matrix') + rows[j], rows[k] = rows[k], rows[j] + v = rows[j][j] + rows[j] = [x/v for x in rows[j]] + for k in range(n): + if k != j: + v = rows[k][j] + rows[k] = [x-v*y for x, y in zip(rows[k], rows[j])] + return [row[n:] for row in rows] + + +def coefficient(x): + return (Q(x), Q(0)) + + +def zadd(a, b): + return a[0]+b[0], a[1]+b[1] + + +def zmul(a, b): + return a[0]*b[0]-a[1]*b[1], a[0]*b[1]+a[1]*b[0] + + +def accumulate(dst, src, c=(Q(1), Q(0))): + for key, value in src.items(): + value = zadd(dst.get(key, (Q(0), Q(0))), zmul(c, value)) + if value != (0, 0): + dst[key] = value + else: + dst.pop(key, None) + + +def shifted(row, term): + result = [] + for cell in row: + target = {} + for key, value in cell.items(): + new = ((key[0]+term[0]) % 4,) + tuple(a+b for a, b in zip(key[1:], term[1:])) + accumulate(target, {new: value}) + result.append(target) + return result diff --git a/research/p104-common-idle-double-retirement/application/APPLICATION.json b/research/p104-common-idle-double-retirement/application/APPLICATION.json new file mode 100644 index 0000000000..d32ab5a826 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/APPLICATION.json @@ -0,0 +1,211 @@ +{ + "actual_central_and_global_normalization": { + "Lambda_eigencharacters_at_Q_i_powers": [ + 1, + "i", + 1, + "i" + ], + "Q4": "I", + "kernel_square": "X_q with absolute phase +1", + "normalized_S_eigencharacters": [ + 1, + 1, + -1, + -1 + ], + "rule": "Lambda_f=a I+b Q_f^2; coefficients a,b occur once, outside the tensor power.", + "tensorized_Lambda_counterexample": { + "columns": 2, + "correct_global_Lambda": 1, + "incorrect_tensor_Lambda": -1, + "odd_columns": 2 + } + }, + "allocation_and_exact_bill": { + "conservative_native_owned_slots": 522, + "disjoint_query_owned_slots": 104, + "global_field_slots_upper": 14400, + "independent_native_helpers": 10134, + "native_call_map_sha256": "44adde189fef7d0dfb0ed41b27e3aa20b3707f239fb31fdf9d5bd04f6494e45b", + "native_lifetimes_total": 846, + "native_peak_live_owned": 14, + "native_public_integer_map_sha256": "da12aa629a2bbcc734b20c3d18559f7220d919104b2431851224ab9eda7131e1", + "paid": { + "1": 41926, + "2": 8172, + "3": 8820, + "4": 1962, + "5": 2736, + "6": 144, + "7": 162, + "8": 18, + "16": 1664, + "24": 416, + "32": 520, + "40": 416 + }, + "paid_jobs": 66956, + "paid_rank_mass": 178288, + "productive_jobs": 13774, + "productive_main_fields": 3640, + "raw_all_lifetime_storage_envelope": { + "W_plus_all_raw_lifetime_O": 16388, + "interpretation": "Compatibility with the published W+O definition only; this is a new conservative integer allocation construction, not a verified literal tape/compiler slot assignment.", + "native_lifetime_slots": 846, + "productive_W": 13774, + "thin_lifetime_slots": 1768 + }, + "target_rank_mass": 179048, + "targets": { + "1": 564, + "2": 144, + "3": 72, + "4": 1944, + "5": 288, + "6": 54, + "7": 162, + "8": 720, + "9": 6498, + "17": 1664, + "25": 416, + "32": 104, + "33": 416, + "41": 416, + "73": 208, + "145": 104 + } + }, + "authenticated_inputs": 12, + "candidate_physical": { + "full_calls": 18, + "main_targets": { + "1": 312, + "17": 1664, + "25": 416, + "32": 104, + "33": 416, + "41": 416, + "73": 208, + "145": 104 + }, + "ordinary_normalizations": 110, + "physical_contacts": 7488, + "plain_target_port_endpoints": 104, + "ports": 104, + "route_payload_sha256": "79930ec6c09a8e4930556c925c354bb5431203eaf069d9373f056049c061289b", + "whole_idle_jobs": { + "16": 1664, + "24": 416, + "32": 520, + "40": 416 + } + }, + "changed_boundary": { + "common_idle_unretired_event": 164, + "cut_after": 353, + "fresh_first_access": 363, + "handoff_after": 362, + "individual_idle": { + "owner": 2, + "rank": 32, + "stages": [ + 10, + 11, + 12, + 13 + ] + }, + "paid_jobs_per_port": 2, + "rank_each": 40, + "retired_pivot_only_late_action": [ + [ + 583, + [ + "LAMBDA", + 4, + -1 + ] + ] + ], + "two_independent_packets": [ + 2, + 3 + ], + "union_stages": [ + 5, + 6, + 7, + 8, + 9 + ], + "untouched_packet_window": [ + 86, + 163 + ] + }, + "native_contract": { + "helpers": { + "1": 14, + "2": 8, + "3": 4, + "4": 108, + "5": 16, + "6": 3, + "7": 9, + "8": 40, + "9": 361 + }, + "lifetime_sha256": "24813c98a330260431ce99164ef02d9ee58a828d1b03c365a2d8e65458b10d94", + "owned_labels": 29, + "owned_lifetimes": 47, + "paid": { + "1": 2231, + "2": 454, + "3": 490, + "4": 109, + "5": 152, + "6": 8, + "7": 9, + "8": 1 + }, + "peak_owned": 14, + "public": 771 + }, + "negative_controls": { + "absolute_phase_only": true, + "fresh_input_read_before_handoff": true, + "fused_duplicate_or_lost_axis": true, + "missing_central_square_translation": true, + "unearned_fresh_central_target": true + }, + "original_6702_physical_positive_control": { + "full_calls": 18, + "main_targets": { + "1": 208, + "17": 1768, + "25": 416, + "33": 416, + "40": 104, + "41": 208, + "57": 208, + "73": 208, + "145": 104 + }, + "ordinary_normalizations": 34, + "physical_contacts": 7488, + "plain_target_port_endpoints": 104, + "ports": 104, + "route_payload_sha256": "79930ec6c09a8e4930556c925c354bb5431203eaf069d9373f056049c061289b", + "whole_idle_jobs": { + "16": 1768, + "24": 416, + "32": 416, + "40": 312, + "56": 208 + } + }, + "schema": "independent-p104-application-delta/1", + "scope": "Independent caller phase/route/whole-idle/target and chronological owner application checks. No import of author replay/native/physical/price. Native scalar endpoints, 2939 internal maps and five all-size framework assumptions remain inherited, not newly proved. All evidence is author-side, not scientific admission.", + "status": "PASS_SOURCE_BOUND_PHASES_ALLOCATION_AND_NEW_DELTA" +} diff --git a/research/p104-common-idle-double-retirement/application/COVERAGE.md b/research/p104-common-idle-double-retirement/application/COVERAGE.md new file mode 100644 index 0000000000..418213a46f --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/COVERAGE.md @@ -0,0 +1,86 @@ +# Exact source-bound application coverage + +Reviewed head: PR6716 `a467457692bc9e11113d9b2e2e34ea8ffb553b58`. +Direct predecessor: PR6702 `edd6a37a9ff87b254fb7466184348d1432d0c8c0`. +Canonical comparison: selected PR6030 at main +`7c49fe32c55de02c2c873655c804b16e4c3fef0a`. +This table is an author-side review and separate implementation, not a +maintainer decision. No external revision request or known mathematical +counterexample is asserted. + +## What the admitted comparison actually covered + +The selected [PR6030 review](https://github.com/CrocSwap/integer-mult-bounds/blob/7c49fe32c55de02c2c873655c804b16e4c3fef0a/docs/research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md) +records an explicit conditional application decision, a separate complete +native scalar interpreter, a dense check of its seven new maps, and an +independent physical-caller adaptation that first reproduced its original +positive control. That decision retained all five framework assumptions. +It is a model for a successor review, not an automatic admission of later +archives or a demand for an unconditional multiplier. + +Compared with that reviewed instance, the actual current native has771 public +inputs/563 helpers,29 owned labels/47 lifetimes/peak14 and18,577 events. +The6030 instance had770 public/562 helpers,29 labels/31 lifetimes/peak13 and +22,803 events. Its2,922 distinct internal maps and1,124 helper normalizers +become2,939 and1,126 in the current retained receipt. **The difference in counts +does not mean there are only17 new maps**: a canonical signed-map set comparison +has not been performed by this small audit. No6030 native boundary or review +is silently inherited across those changes. + +The optional source-container audit also inventories exact literal task inputs +within the actual retained native archive. Against its retained6529 BASEWORD, +the combined current edits add six task pairs +`(3,676),(115,593),(278,679),(516,246),(549,115),(676,715)` and remove six; +both inventories contain2,939 pairs and the complete frame alphabet is unchanged. +SOURCE-CHAIN.json includes their exact source/target axes. This is neither a +normalized signed-map equivalence test nor a comparison with6030 or6621 alone. +It gives a precise small entry point for a further native-delta review without +pretending that the whole earlier lineage has thereby been independently covered. + +## Coverage and remaining obligations + +| Actual obligation | Existing exact-head evidence | Independent evidence supplied here | Boundary retained | +|---|---|---|---| +| Exact6702 source custody | SOURCE6702.json authenticates all17 top-level files; verify.py runs the source unchanged before the new extension and returns its original receipt unchanged. | source_chain.py reauthenticates all17 files, outer source.tar, nested native-source.tar and the exact native-word input, without executing source code. | Nested labels775722aa/44b0d0e are lineage/container labels; modified nested bytes are owned by exact6702. No direct old-head Git-tree claim. | +| Native lineage and arbitrary scalar endpoints | Source carries PR6453 compensation, PR6529 scaled transport, PR6621 paid merges and PR6702 helper607 split. Existing full source replay uses separate forward/reverse engines,800 columns and640,000 positions, plus original controls. | The complete actual18,577-event native word is independently scanned for chronological ownership and common scalar charts, but its scalar rows are not replayed here. | Its exact all-input scalar identity is reused from the unchanged source replay, not newly proved by this checker. Broader successor scientific review remains necessary. | +| Internal finite native maps | Retained prefix compiler plus a separate exact signed-Pauli/global-phase checker cover2,939 maps,208 intrinsic main adapters and1,126 helper normalizers; phase-only fault rejects. | No internal map is newly compiled or densely replayed here. | This is deliberately not a second historical native suite or an external admission of the6167-and-later lineage. | +| Owned lifetimes and COPY | Primary reports29 labels,47 lifetimes,peak14. CLEAR uses the inherited erasure contract. | Fresh chronological scan checks every INIT/MOVE/scalar/CLEAR, strict flag nesting and directions, all public final charts, and that the sole COPY destination is provably zero from its actual lifetime. | No new zero-before-CLEAR requirement is invented. Finite labels/lifetimes do not establish an all-depth physical allocator. | +| Main native application routes | physical.py uses retained native_inventory recipes on every LOCAL; original and candidate carry identical route payload79930ec6…. | Direct Fourier character parity checks independently recover all7,488 entry/exit maps, their inverse translations, actual q and orthonormal block swaps. Both source and candidate saved hashes/histograms match. | Only caller adapters/routes are checked here; the internal native word's paid-map implementation remains inherited. | +| Actual central Q and global Lambda | Existing independent_word checks the entire caller in Q^4=1 with exterior scalar coefficients, and author checks53,248 central-square columns. | The two-address kernel squares exactly to translation with phase+1; all four Q characters verify global Lambda, inverse and S²=I. An f=2 control distinguishes global Lambda from a tensorized one-column Lambda. | This does not independently execute every ordinary Lambda microinstruction or discharge all-column native/precision premises. | +| Common-idle fusion | ROOT.json and full forward/reverse replay give both shared-site endpoints and every independent input. | The actual basis C simultaneously sends R1 to E01, R2 to−E10 and both projectors to the same rank4 block. In the unretired word,2/3 are untouched throughout events86..163; event164 consumes two distinct complete packets on fresh stages5..9. It pays two rank40 jobs per port. | A scalar rank or union of axes is never counted as one call on two independent arrays. Dirty restoration/global endpoint identity comes from the already separate full Laurent replay. | +| Remaining IDLE_ONE | Author physical()/invoice enumerates the literal event, rather than inferring a paired idle. | The only individual idle is unretired416/final431, owner2, stages10..13, rank32; it contributes104 actual paid jobs. All idle axes are distinct complete fresh blocks. | No missing second packet, free rank1 repair or extra productive credit. | +| Cut353 and fresh ownership | Existing independent_word directly proves ab=cd=1, aP=Sc, Pd=Sb and G/J row/column identities, all35 independent columns and controls. | Literal access scan binds handoff362; fresh original field34 has no access before it and first appears at363. After handoff the retired pivot4 has only its final ordinary Lambda, no Gaussian or cross-field read. It earns H1; the new independent input earns plain H32, checked by the absolute target phase. | These are literal owner/access facts plus the separately proven algebra, not an assumption that field34 is zero or a copied helper. | +| Field map and paid inventory | Primary counts35*104 main outputs and18*563 independent helpers, with all native jobs/thin queries/idles retained. | A concrete integer injection maps every771-field native invocation, reserves separate helpers per stage, allocates522 owned-label banks and104 query streams; exact T/P histograms equal the frozen full bill66956/13774, masses178288/179048. | 14,400 is a new conservative field-map construction, not an inspected emitted TM/compiler allocation. Query cleanup is the retained atomic query-macro contract, not a newly replayed COPY/CLEAR trace. | +| Storage compatibility | The published proof defines Z=W+O and allows conservative per-raw-instance/lifetime owned allocation. | Every raw lifetime would give O=18*47+17*104=2614, Z=16388, larger than the new14,400 construction. The allowance therefore includes these finite raw labels/lifetimes by its own definition. | This arithmetic does not prove clean-stock availability, movement rates, precision factors, generated schedules or the materialized compiler. | +| Original-source positive control | The complete original6702 receipt is still run and compared by the primary observed-extension hook. | The **physical subset** for the original6702 word is recomputed here and matched: all7,488 contacts, original main/whole-idle profiles,34 ordinary normalizations and exact route hash. | This is not a new execution of the whole original6702 receipt or selected6030's distinct original-caller b51a7d19… positive control. | +| Complete scalar/price/compiler/outer | a467's primary recomputes coefficient37 work/height,252,020,208 ordinary bound, both rational moments,11/12 completion, the new explicit compiler threshold and54+4 outer predicates. | Complete event T/P is recounted here; new source/program hashes bind the remainder to the existing exact-head evidence. | Numerical engines, full precision constants,11/12 compiler and54+4 are not rerun by this bounded delta audit. Their primary evidence is not renamed as an independent rerun. | + +## Exact independent field-map construction + +Let the port index be p=0..103 in the actual source live/port order. Main +field(role,p) has integer slot104*role+p, giving0..3639. List the563 native +helper roles in increasing raw-role order; helper(stage,hindex) uses +3640+563*(stage−1)+hindex. All helpers end before slot13774 and every stage +gets fresh independent originals. The29 owned labels for stage s use +13774+29*(s−1)+label_index. Query streams use14296+p. Every actual native +public field map is checked injective; the complete map payload hash is in +APPLICATION.json. No owned bank or copied query receives a target. + +These constants are compatible with the existing finite W+O envelope, but +do not certify a production tape allocation. The module intentionally leaves +that inherited application boundary visible. + +## Useful next review, without another generic audit + +The actual remaining native admission task is to normalize and compare the +current2,939 signed native tasks against the previously reviewed map inventory, +then independently check only unmatched finite tasks, including absolute +phase, and the changed full scalar native endpoints. Matching merely the +tableau or the task count is insufficient. Existing separate forward/reverse +and phase machinery should be credited and reused where its source binding +is proved. This audit supplies the previously absent new-caller physical delta +evidence so that such a review can focus on the native difference, rather than +repeat the whole application or infer acceptance from archive history. + +All five assumptions remain. Nothing here records an external scientific +decision, modifies selected-result.json or creates another PR. diff --git a/research/p104-common-idle-double-retirement/application/FILES.json b/research/p104-common-idle-double-retirement/application/FILES.json new file mode 100644 index 0000000000..dcb4e0b197 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/FILES.json @@ -0,0 +1,130 @@ +{ + "files": [ + { + "bytes": 5100, + "path": "APPLICATION.json", + "sha256": "a346a25bbdf8dba3eca175b7940a95f20085ddf216b9d5dcd20ee0b68d332410" + }, + { + "bytes": 10812, + "path": "COVERAGE.md", + "sha256": "3fa7e5b916ed832fe563fb1d013d2ebd58b0e8ca85d046824e77512ab8ed2af2" + }, + { + "bytes": 1827, + "path": "FINAL.json", + "sha256": "1f37231410122ee413b4886f6cad2a068d6ee7beaa35238ecdc7db03ee12e7b5" + }, + { + "bytes": 11357, + "path": "LICENSE", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + }, + { + "bytes": 1128, + "path": "NOTICE", + "sha256": "8469b1bcce56bd2e9505e20c7938cc17fbeb60b809c45630a29f997c19776fb7" + }, + { + "bytes": 8364, + "path": "ORIGINAL-IMMUTABLE.json", + "sha256": "7a995ec98f87d30d950910b6a696a5857e82b822c38e6c86e277bf76fcc29e9e" + }, + { + "bytes": 1282, + "path": "PACKAGING.json", + "sha256": "9fac4942f9b724620881d7de1696eb3b94f7e4cfd080ee8ae571c78be4cb93c5" + }, + { + "bytes": 4111, + "path": "README.md", + "sha256": "ae6373ef73bea938988d1512e1b0ea159d5cc011d20df75bc07433b19bba5e8f" + }, + { + "bytes": 3049, + "path": "SOURCE-CHAIN.json", + "sha256": "8560a3d2b5a871921585d8a97e4dde4a1decf8236c05aa829dfd7e63b76bcc4d" + }, + { + "bytes": 5237, + "path": "SOURCES.json", + "sha256": "8d1134f8302cc1e6844a480643c613c4990b47582a3810b1609bf048098a3576" + }, + { + "bytes": 1821, + "path": "VALIDATION.json", + "sha256": "a441e3238876dc08444bfd11ac774a05e50c41a78a4f2acf703e522af8a75cb4" + }, + { + "bytes": 20766, + "path": "delta_physical.py", + "sha256": "b990f2aaf2b570aaca884a88948fe686f5f2e16504eba746bdb8e3f304886cd5" + }, + { + "bytes": 37367, + "path": "inputs/BASE.json", + "sha256": "8c58adc35a7055dde1eda8f2547492dda9f558a73262fc17f439819c39d2555e" + }, + { + "bytes": 10105, + "path": "inputs/NATIVE-RETAINED.json", + "sha256": "d6aa62ef940300a15cc1d56b5cc39919fc5513e879d5e6e48510b827cfc8f57d" + }, + { + "bytes": 91169, + "path": "inputs/NATIVE.json.gz", + "sha256": "e8c7a9d54d98a4cfa27e15593016b3908afed303e0f480076ed3f596192e5a4d" + }, + { + "bytes": 814141, + "path": "inputs/PHASES.json", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + { + "bytes": 21184, + "path": "inputs/PRIMARY.json", + "sha256": "7e6dbd24c08072ccdaf2e1987e938c3d9eeb0c1ecb180e9a515183e5160f4539" + }, + { + "bytes": 19923, + "path": "inputs/ROOT.json", + "sha256": "14e7f09ad4bd981cfbe976acca3d342469446c07b66c79d67475fd29b2ecfa04" + }, + { + "bytes": 24877, + "path": "inputs/SOURCE-PRIMARY.json", + "sha256": "d99ccb7a99f1b861e90e746dfbe898ccdb1307115e81551314513557743c96a5" + }, + { + "bytes": 5319, + "path": "inputs/SOURCE-RETAINED.json", + "sha256": "a0c725785073ed9f9e3d60f3da86ae5620d6c7bbe019ec332bb2469293df64df" + }, + { + "bytes": 40528, + "path": "inputs/SOURCE-WORD.json", + "sha256": "419566fe8d8e84a21a14b8efbdac83df5cf1892b0de55f4f256287e9031d74da" + }, + { + "bytes": 5113, + "path": "inputs/SOURCE6702.json", + "sha256": "72a613e94595e7877d5a13fb13c80fe6bf62bdb813695b99e2539207b7f75dd9" + }, + { + "bytes": 850, + "path": "inputs/WITNESS.json", + "sha256": "4c820b99eb1ebebd7cd527f07b0aa86a355865072acace8bfc9fddd998086331" + }, + { + "bytes": 38814, + "path": "inputs/WORD.json", + "sha256": "2a0fb1c11fccfcc4dacbc7c82cf439969caa295dba4fc1a21a83e01b4ab8affc" + }, + { + "bytes": 3966, + "path": "source_chain.py", + "sha256": "64274b605530fae3944330fd7a26535491b17681add8c4bc5116a277c3b9e5d3" + } + ], + "schema": "p104-application-review-files/1" +} diff --git a/research/p104-common-idle-double-retirement/application/FINAL.json b/research/p104-common-idle-double-retirement/application/FINAL.json new file mode 100644 index 0000000000..cfb00b5975 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/FINAL.json @@ -0,0 +1,56 @@ +{ + "Git_free_empty_PATH_pass": true, + "conservative_integer_field_slots": 14400, + "contacts": 7488, + "coverage_sha256": "3fa7e5b916ed832fe563fb1d013d2ebd58b0e8ca85d046824e77512ab8ed2af2", + "exact_primary_head": "a467457692bc9e11113d9b2e2e34ea8ffb553b58", + "internal_2939_maps_replayed": false, + "internal_author_AI_evidence_only": true, + "literal_compiler_or_TM_allocation_verified": false, + "native_chronological_contract": { + "helpers": { + "1": 14, + "2": 8, + "3": 4, + "4": 108, + "5": 16, + "6": 3, + "7": 9, + "8": 40, + "9": 361 + }, + "lifetime_sha256": "24813c98a330260431ce99164ef02d9ee58a828d1b03c365a2d8e65458b10d94", + "owned_labels": 29, + "owned_lifetimes": 47, + "paid": { + "1": 2231, + "2": 454, + "3": 490, + "4": 109, + "5": 152, + "6": 8, + "7": 9, + "8": 1 + }, + "peak_owned": 14, + "public": 771 + }, + "native_scalar_800_columns_replayed": false, + "new_registered_checks": 2, + "old45files_unchanged_before_integration": true, + "old6702_physical_positive_control": "Exactly recomputed physical subset, not whole original receipt replay.", + "paid_jobs": 66956, + "primary_receipt_sha256": "a346a25bbdf8dba3eca175b7940a95f20085ddf216b9d5dcd20ee0b68d332410", + "productive_jobs": 13774, + "rank_masses": [ + 178288, + 179048 + ], + "raw_W_plus_O_envelope": 16388, + "registered_normal_seconds": 8.254814, + "registered_optimized_seconds": 8.044045, + "remaining": "Full native-lineage successor review, literal production allocator/query cleanup, and all five framework assumptions remain inherited. No new kappa or external scientific admission.", + "schema": "p104-6716-application-review-final/1", + "source_container_files_authenticated": 17, + "status": "PASS_BOUNDED_NEW_APPLICATION_EVIDENCE" +} diff --git a/research/p104-common-idle-double-retirement/application/LICENSE b/research/p104-common-idle-double-retirement/application/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/p104-common-idle-double-retirement/application/NOTICE b/research/p104-common-idle-double-retirement/application/NOTICE new file mode 100644 index 0000000000..77c82de318 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/NOTICE @@ -0,0 +1,17 @@ +Author-side independent application checking: thu-nmrc with substantial +OpenAI Codex assistance. Apache-2.0. This is a separate implementation and +source-bound audit within the same author collaboration, not external review. + +Retain the original native/compiler credits of David Arias, Cinna Davis, +Gareth Davidson and all predecessors named in source6702/NOTICE; Ali Romman's +binary suppliers, Gaussian retirement, complete replay services, physical +route/phase and pricing interfaces; DreamingOfClouds' PR6621 paid merges and +PR6702 helper split; Erwan L.'s compensated source; Rohan Arun's predecessor +native mechanisms; Matarener's and Chris R./Clear1nsight's separate native, +caller and phase checking machinery. The exact original source files and +their notices in PR6716 are not modified by this supplemental directory. + +The selected6030 review is by Douglas Colkitt with OpenAI Codex assistance; +it is cited as a predecessor conditional application decision and does not +automatically cover the current construction. The unchanged source chain, +interval/compiler/BIT/analytic methods retain all source-specific authors. diff --git a/research/p104-common-idle-double-retirement/application/ORIGINAL-IMMUTABLE.json b/research/p104-common-idle-double-retirement/application/ORIGINAL-IMMUTABLE.json new file mode 100644 index 0000000000..b1b7c8874c --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/ORIGINAL-IMMUTABLE.json @@ -0,0 +1,187 @@ +{ + "file_count": 45, + "files": { + "research/p104-common-idle-double-retirement/CONTROLLER-UNRETIRED.json": { + "bytes": 37367, + "sha256": "8c58adc35a7055dde1eda8f2547492dda9f558a73262fc17f439819c39d2555e" + }, + "research/p104-common-idle-double-retirement/CONTROLLER.json": { + "bytes": 38814, + "sha256": "2a0fb1c11fccfcc4dacbc7c82cf439969caa295dba4fc1a21a83e01b4ab8affc" + }, + "research/p104-common-idle-double-retirement/INDEPENDENT.json": { + "bytes": 1116, + "sha256": "1294cc30001a1a03bba42f912999cbd0254a3241679affd3c9b74e993b4281c2" + }, 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"delta_physical.py", + "APPLICATION.json", + "SOURCES.json", + "inputs/WORD.json", + "inputs/BASE.json", + "inputs/ROOT.json", + "inputs/WITNESS.json", + "inputs/PRIMARY.json", + "inputs/SOURCE-WORD.json", + "inputs/SOURCE-PRIMARY.json", + "inputs/SOURCE6702.json", + "inputs/NATIVE.json.gz", + "inputs/PHASES.json", + "inputs/SOURCE-RETAINED.json", + "inputs/NATIVE-RETAINED.json" + ], + "default_runtime_reads_only_HERE": true, + "historical_scientific_suite_rerun": false, + "optional_source_chain_requires": "Original parent package source6702/source.tar; reads archives only, no Git/network/source code execution. Not one of the two proposed registered checks.", + "registered_addition": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/application/delta_physical.py" + ], + "timeout_seconds": 60 + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/application/delta_physical.py" + ], + "timeout_seconds": 60 + } + ], + "schema": "p104-application-supplement-packaging/1" +} diff --git a/research/p104-common-idle-double-retirement/application/README.md b/research/p104-common-idle-double-retirement/application/README.md new file mode 100644 index 0000000000..8439dd2ff8 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/README.md @@ -0,0 +1,71 @@ +# Independent application checks for the exact PR6716 delta + +This is author-side evidence for mathematical application review of +`a467457692bc9e11113d9b2e2e34ea8ffb553b58`. It does not declare admission, +external review, a selected-frontier change or another kappa improvement. +The existing official source files are unchanged. + +The separately written checker imports no author constructor, scalar replay, +native checker, physical checker or price engine. It supplies checks that the +existing independent_word.py explicitly does not claim: the actual main +route/phase interfaces, fused/individual complete idle packets, plain fresh +Gaussian output, chronological native owned/chart inventory, a disjoint +integer field-map construction and the complete actual event bill. The exact +original PR6702 physical interface/target/idle receipt is a positive control. +See COVERAGE.md for what remains inherited or unreviewed here. + +Run with Python 3.12 and its standard library: + + python3.12 -I -B delta_physical.py + python3.12 -I -O -B delta_physical.py + +Both commands are read-only and need only this directory. They use no Git, +network, installed package, host path or source checkout. Every runtime input +is authenticated against SOURCES.json before use. --write is explicit receipt +authoring only. APPLICATION.json is recomputed exactly, including the original +source positive control; it is not trusted as a mathematical input. + +An optional source-container check authenticates the 17 original source files +and reads the two original tar containers without executing their code: + + python3.12 -I -B source_chain.py --package /path/to/p104-common-idle-double-retirement + +It needs the original package's retained archive, which is already supplied by +PR6716. That archive is not duplicated here. SOURCE-CHAIN.json records the +executed exact extraction/custody check. Nested old source-head labels are +lineage labels: modified nested members are bound to the actual original6702 +container, not asserted to occur in those older Git trees. + +## Mathematical extent + +A commuting positive Gaussian C_v has Fourier multiplier i^(v dot z mod2). +Modulo4 each parity has degree at most2 in Boolean frequency coordinates. +Values at zero, coordinate vectors and pairs therefore determine its absolute +Z/4 phase polynomial. The new implementation evaluates those characters +directly and does not import the predecessor's phase-polynomial function. +An even linear difference is repaired by the explicit ordinary translation; +the inverse contact and the absolute phase at frequency zero are also checked. +All 7,488 contacts match the frozen original and new payload hash. This checks +the finite physical caller interface under the retained factorwise native +contract; it does not reprove the internal native maps or its all-column +assumption. + +The central two-address kernel is independently squared to X_q with phase+1. +All four Q characters check global Lambda_f=a I+b Q_f^2 and its inverse. +The f=2/two-odd-column counterexample explicitly prevents replacing Lambda_f +by the tensor power of Lambda_1. Exterior coefficients remain outside tensor +powers, as required by the original construction. + +The 14,400 field slots are a new conservative integer-map construction, not +an exported literal machine/compiler allocation. They include 13,774 productive +fields, 18*29 disjoint native owned-label banks and 104 sequentially reused +query streams. A still more conservative allocation of every raw lifetime gives +W+O=13,774+18*47+17*104=16,388, so the new construction fits the published +W+O envelope definition. This arithmetic is not a physical stock, clean-bit, +tape-space or generated-dispatcher proof. Those application interfaces remain +inherited assumptions; slot counts are not charged as time or productive jobs. + +The registered addition, if included in the existing PR, needs only the two +normal/optimized delta_physical.py commands, with a conservative60s timeout +per command. The optional container audit is separate. Existing full source +checks remain required and unchanged; this package does not replace them. diff --git a/research/p104-common-idle-double-retirement/application/SOURCE-CHAIN.json b/research/p104-common-idle-double-retirement/application/SOURCE-CHAIN.json new file mode 100644 index 0000000000..9a1c3a7190 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/SOURCE-CHAIN.json @@ -0,0 +1,155 @@ +{ + "literal_task_delta_vs_retained_BASEWORD": { + "added": [ + { + "frame_ids": [ + 3, + 676 + ], + "paid_rank": 2, + "source_axes": [], + "target_axes": [ + 7, + 66 + ] + }, + { + "frame_ids": [ + 115, + 593 + ], + "paid_rank": 4, + "source_axes": [ + 7, + 42, + 75, + 144, + 272 + ], + "target_axes": [ + 7 + ] + }, + { + "frame_ids": [ + 278, + 679 + ], + "paid_rank": 3, + "source_axes": [ + 45, + 261 + ], + "target_axes": [ + 7, + 42, + 66, + 130, + 258 + ] + }, + { + "frame_ids": [ + 516, + 246 + ], + "paid_rank": 4, + "source_axes": [ + 30, + 45, + 140, + 268 + ], + "target_axes": [ + 3, + 4, + 8, + 17, + 33, + 64, + 128, + 256 + ] + }, + { + "frame_ids": [ + 549, + 115 + ], + "paid_rank": 2, + "source_axes": [ + 2, + 5, + 16, + 40, + 73, + 128, + 256 + ], + "target_axes": [ + 7, + 42, + 75, + 144, + 272 + ] + }, + { + "frame_ids": [ + 676, + 715 + ], + "paid_rank": 2, + "source_axes": [ + 7, + 66 + ], + "target_axes": [ + 7, + 9, + 66, + 400 + ] + } + ], + "base_tasks": 2939, + "current_tasks": 2939, + "removed": [ + [ + 278, + 1047 + ], + [ + 549, + 553 + ], + [ + 553, + 1047 + ], + [ + 593, + 715 + ], + [ + 1047, + 593 + ], + [ + 1047, + 679 + ] + ], + "scope": "Combined edited current native versus its retained6529 BASEWORD, not a map equivalence test and not a delta versus6030 or6621 alone." + }, + "native_archive_sha256": "67af9dd68c9f151b24b4a247b078e65770c64abc3d463fac1269b6d7e03f72a8", + "native_word_sha256": "e8c7a9d54d98a4cfa27e15593016b3908afed303e0f480076ed3f596192e5a4d", + "outer_archive_sha256": "be2180627c3a9ffc0176434b578659c5769c8546e3ee67dcee55c632646ebe93", + "outer_source_files_checked": 17, + "owning_head": "edd6a37a9ff87b254fb7466184348d1432d0c8c0", + "retained_BASEWORD_sha256": "15ca0c4ee15ad5a58dfc178d7b44d89ca202021c2907fbf9ef2ed50ba1ed8513", + "schema": "p104-actual-outer-source-chain/1", + "scope": "Exact original6702 container custody. 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"sha256": "d6aa62ef940300a15cc1d56b5cc39919fc5513e879d5e6e48510b827cfc8f57d" + } + ], + "native_pin_chain": "Actual owning source is exact6702 outer source.tar. Its pinned gaussian-root-retirement RETAINED.json and native-source.tar bind WORD.json.gz. Nested775722aa/44b0d0e source_head fields are lineage labels, not direct Git-tree assertions for edited members.", + "official_head": "a467457692bc9e11113d9b2e2e34ea8ffb553b58", + "schema": "p104-application-independent-source-pins/1" +} diff --git a/research/p104-common-idle-double-retirement/application/VALIDATION.json b/research/p104-common-idle-double-retirement/application/VALIDATION.json new file mode 100644 index 0000000000..ae40df5c1e --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/VALIDATION.json @@ -0,0 +1,53 @@ +{ + "Git_free_default_delta": true, + "all_checks_read_only": true, + "empty_PATH": true, + "environment": "3.12.13 (main, Mar 25 2026, 03:16:06) [Clang 22.1.1 ]", + "historical_native_primary_suite_rerun": false, + "normal_optimized_stdout_identical": true, + "original_package_file_count": 45, + "runs": [ + { + "PATH": "", + "elapsed_seconds": 8.254814, + "exit_code": 0, + "optimized": false, + "scientific_source_code_executed": true, + "script": "delta_physical.py", + "stderr": "", + "stdout": "{\"contacts\": 7488, \"paid_jobs\": 66956, \"productive_jobs\": 13774, \"status\": \"PASS_SOURCE_BOUND_PHASES_ALLOCATION_AND_NEW_DELTA\"}\n" + }, + { + "PATH": "", + "elapsed_seconds": 8.044045, + "exit_code": 0, + "optimized": true, + "scientific_source_code_executed": true, + "script": "delta_physical.py", + "stderr": "", + "stdout": "{\"contacts\": 7488, \"paid_jobs\": 66956, \"productive_jobs\": 13774, \"status\": \"PASS_SOURCE_BOUND_PHASES_ALLOCATION_AND_NEW_DELTA\"}\n" + }, + { + "PATH": "", + "elapsed_seconds": 0.051191, + "exit_code": 0, + "optimized": false, + "scientific_source_code_executed": false, + "script": "source_chain.py", + "stderr": "", + "stdout": "PASS_EXACT_6702_ARCHIVE_MEMBER_CUSTODY\n" + }, + { + "PATH": "", + "elapsed_seconds": 0.052103, + "exit_code": 0, + "optimized": true, + "scientific_source_code_executed": false, + "script": "source_chain.py", + "stderr": "", + "stdout": "PASS_EXACT_6702_ARCHIVE_MEMBER_CUSTODY\n" + } + ], + "schema": "source-bound-application-validation/1", + "scope": "Only new caller-application checks and source-container custody. No internal2939map/dense800column historical suite or external admission." +} diff --git a/research/p104-common-idle-double-retirement/application/delta_physical.py b/research/p104-common-idle-double-retirement/application/delta_physical.py new file mode 100644 index 0000000000..ccac0dbcea --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/delta_physical.py @@ -0,0 +1,340 @@ +"""Independent source-bound P104 application checks, not a native scalar replay. + +No author interpreter, native phase routine, constructor or price is imported. +Exact character phases are checked by parity evaluations on weights zero/one/two; +these determine the Z/4 quadratic character of commuting C_v factors. The +retained native scalar identity and its 2,939 internal maps are NOT reproved. +thu-nmrc with substantial OpenAI Codex assistance. Apache-2.0. +""" +from pathlib import Path +from fractions import Fraction as F +from collections import Counter +from hashlib import sha256,sha1 +import argparse +import gzip +import json + +HERE=Path(__file__).resolve().parent +SLOTS={'ADD':(1,2),'SWAP':(1,2),'SCALE':(1,),'LAMBDA':(1,),'Q_POWER':(1,), + 'QUERY':(1,2),'LOCAL':(2,3),'IDLE':(1,2),'IDLE_ONE':(1,)} + + +def need(ok,why): + if not ok: raise ValueError(why) + + +def read(name): + b=(HERE/'inputs'/name).read_bytes() + return json.loads(gzip.decompress(b) if name.endswith('.gz') else b) + + +def authenticate(): + pins=json.loads((HERE/'SOURCES.json').read_text()) + for pin in pins['files']: + b=(HERE/pin['copy']).read_bytes() + need(len(b)==pin['bytes'] and sha256(b).hexdigest()==pin['sha256'], 'source SHA '+pin['copy']) + need(sha1(b'blob '+str(len(b)).encode()+b'\0'+b).hexdigest()==pin['git_blob'], 'source blob '+pin['copy']) + outer=read('SOURCE-RETAINED.json') + record=next(x for x in outer['files']if x['path'].endswith('/RETAINED.json')) + need(sha256((HERE/'inputs/NATIVE-RETAINED.json').read_bytes()).hexdigest()==record['sha256'], + 'nested manifest is byte-pinned by original6702 source inventory') + retained=read('NATIVE-RETAINED.json')['native'] + pin=next(x for x in retained['files'] if x['path'].endswith('/WORD.json.gz')) + need(sha256((HERE/'inputs/NATIVE.json.gz').read_bytes()).hexdigest()==pin['sha256'], 'nested exact native pin') + need(retained['source_head']=='44b0d0e8961201ac1656490b4384a7752e1cd9c5','nested native head') + return len(pins['files']) + + +def span(basis): + values={0} + for v in basis: + need(isinstance(v,int) and 0=public and state[r] is None,'owned lifetime entry is inactive') + state[r]=e[2];zero[r]=True;active.add(r);starts[r]=i;peak=max(peak,len(active)) + elif op=='CLEAR': + need(r in active and state[r]==e[2],'declared owned exit chart') + lifetimes.append([r,starts.pop(r),i]);active.remove(r);state[r]=None;zero[r]=True + elif op=='MOVE': + _,r,a,b,private=e + need(state[r]==a and (r in active)==private,'native transport ownership and source') + need(flags[b]>i&1] + for i,a in enumerate(bits): + need(character(diff,a)==0,'weight-one absolute Fourier phase') + for b in bits[i+1:]:need(character(diff,a|b)==0,'weight-two absolute Fourier phase') + + +def route_value(v,basis,fresh): + out=v + for b,t in zip(basis,fresh): + if (v&(b^t)).bit_count()%2:out^=b^t + return out + + +def contact(old,new,basis,fresh): + moved=normalized((route_value(v,basis,fresh),k)for v,k in old) + diff=normalized([*new,*[(v,-k)for v,k in moved]]) + support=0 + for v,_ in diff:support|=v + shift=0 + for i in range(support.bit_length()): + k=character(diff,1<>i&1))for j in range(8)]for i in range(8)] + need(mm(mm(ci,p),c)==[[F(i==j and i<4)for j in range(8)]for i in range(8)],'same actual four-dimensional source projector') + i=next(i for i,e in enumerate(base['events'])if e[:3]==['IDLE',2,3]) + stages=base['events'][i][3];need(stages==[5,6,7,8,9],'exact fused B+C stage union') + j=i-1 + while j>=0 and not any(base['events'][j][k]in (2,3)for k in SLOTS[base['events'][j][0]]):j-=1 + need(sorted(e[1]for e in base['events'][j+1:i]if e[0]=='LOCAL')==stages,'all B and C children occur without either idle packet being read or overwritten') + need([e for e in base['events']if e[0]=='IDLE_ONE']==[['IDLE_ONE',2,[10,11,12,13]]],'single remaining individual idle has true rank32') + cutoff=witness['handoff_after'];fresh=witness['fresh'];pivot=witness['pivot'] + need((witness['cut_after'],cutoff,fresh,pivot)==(353,362,34,4),'actual literal cut and ownership handoff') + need(all(e[k]!=fresh for e in word['events'][:cutoff+1]for k in SLOTS[e[0]]),'all-original fresh field34 untouched before suffix ownership') + after=[(k,e)for k,e in enumerate(word['events'][cutoff+1:],cutoff+1)if any(e[t]==pivot for t in SLOTS[e[0]])] + need(len(after)==1 and after[0][1]==['LAMBDA',4,-1],'completed pivot never consumed by a subsequent Gaussian or cross-field read') + need(word['diagonal'][fresh][0]==0 and sum(word['diagonal'][fresh][1:])==4,'fresh independent input has only paid rank32 continuation') + need(word['diagonal'][pivot]==[-1]+[0]*19,'original pivot earns only its actual rank1 completion') + return {'common_idle_unretired_event':i,'untouched_packet_window':[j+1,i-1], + 'two_independent_packets':[2,3],'union_stages':stages,'paid_jobs_per_port':2,'rank_each':40, + 'individual_idle':{'owner':2,'stages':[10,11,12,13],'rank':32}, + 'cut_after':353,'handoff_after':362,'fresh_first_access':next(i for i,e in enumerate(word['events'])if any(e[k]==34 for k in SLOTS[e[0]])), + 'retired_pivot_only_late_action':after} + + +def allocation_and_bill(word,native,contract,geometry): + ports=len(native['ports']);main=set(range(word['roles']*ports)) + helpers=set();owned=set();calls=[] + native_main=set(native['live'])|{r+112 for r in native['live']} + helper_roles=[r for r in range(native['public'])if r not in native_main] + hbase=len(main);obase=hbase+18*len(helper_roles);mapping_payload=[] + stage_seen=set() + for index,e in enumerate(word['events']): + if e[0]!='LOCAL':continue + _,stage,src,dst=e;need(stage not in stage_seen and src!=dst,'separate native stage and arbitrary two-input service') + stage_seen.add(stage);mapping={} + for i,r in enumerate(native['live']):mapping[r]=src*ports+i;mapping[r+112]=dst*ports+i + for i,r in enumerate(helper_roles): + mapping[r]=hbase+(stage-1)*len(helper_roles)+i;helpers.add(mapping[r]) + need(len(mapping)==len(set(mapping.values()))==771,'all native public arbitrary inputs mapped injectively') + for r in range(771,800):owned.add(obase+(stage-1)*29+r-771) + mapping_payload.append([stage,[mapping[r]for r in range(771)]]) + calls.append([index,stage,src,dst]) + need(stage_seen==set(range(1,19)) and len(helpers)==18*563,'every native helper independently retained') + query_owned=set(range(obase+18*29,obase+18*29+ports)) + need(not(main&helpers or helpers&owned or owned&query_owned),'no productive/owned alias') + paid=Counter({int(r):v*18 for r,v in contract['paid'].items()}) + paid[1]+=ports*sum(e[0]=='QUERY'for e in word['events']) + paid.update(geometry['whole_idle_jobs']) + target=Counter({int(r):v*18 for r,v in contract['helpers'].items()});target.update(geometry['main_targets']) + return {'productive_main_fields':len(main),'independent_native_helpers':len(helpers), + 'conservative_native_owned_slots':len(owned),'disjoint_query_owned_slots':len(query_owned), + 'native_lifetimes_total':18*contract['owned_lifetimes'],'native_peak_live_owned':contract['peak_owned'], + 'global_field_slots_upper':len(main)+len(helpers)+len(owned)+len(query_owned), + 'raw_all_lifetime_storage_envelope':{'productive_W':len(main)+len(helpers), + 'native_lifetime_slots':18*contract['owned_lifetimes'], + 'thin_lifetime_slots':ports*sum(e[0]=='QUERY'for e in word['events']), + 'W_plus_all_raw_lifetime_O':len(main)+len(helpers)+18*contract['owned_lifetimes']+ports*sum(e[0]=='QUERY'for e in word['events']), + 'interpretation':'Compatibility with the published W+O definition only; this is a new conservative integer allocation construction, not a verified literal tape/compiler slot assignment.'}, + 'native_call_map_sha256':sha256(json.dumps(calls,separators=(',',':')).encode()).hexdigest(), + 'native_public_integer_map_sha256':sha256(json.dumps(mapping_payload,separators=(',',':')).encode()).hexdigest(), + 'paid':dict(sorted(paid.items())),'targets':dict(sorted(target.items())), + 'paid_jobs':sum(paid.values()),'productive_jobs':sum(target.values()), + 'paid_rank_mass':sum(r*n for r,n in paid.items()),'target_rank_mass':sum(r*n for r,n in target.items())} + + +def rejected(fn): + try:fn() + except (ValueError,KeyError):return True + raise ValueError('negative control accepted') + + +def central_normalization(): + one=(F(1),F(0));zero=(F(0),F(0));a=(F(1,2),F(1,2));b=(F(1,2),F(-1,2)) + def mul(z,w):return(z[0]*w[0]-z[1]*w[1],z[0]*w[1]+z[1]*w[0]) + def add(z,w):return(z[0]+w[0],z[1]+w[1]) + need(add(mul(a,a),mul(b,b))==zero and add(mul(a,b),mul(b,a))==one, + 'actual two-address C kernel squares to translation with phase+1') + roots=[one,(F(0),F(1)),(-F(1),F(0)),(F(0),-F(1))] + signs=[] + for exponent,q in enumerate(roots): + x=mul(q,q);lam=add(a,mul(b,x));li=add(b,mul(a,x)) + need(mul(lam,lam)==x and mul(lam,li)==one,'ordinary global Lambda pair and square') + s=mul(lam,(q[0],-q[1]));need(mul(s,s)==one,'actual normalized central involution') + signs.append(int(s[0]));need(s[1]==0,'real involution character') + # For f=2 and two odd column characters, Lambda_f=1 while Lambda_1^tensor2=-1. + need(signs==[1,1,-1,-1],'global scalar coefficients stay outside tensor powers') + return {'kernel_square':'X_q with absolute phase +1','Q4':'I', + 'Lambda_eigencharacters_at_Q_i_powers':[1,'i',1,'i'], + 'normalized_S_eigencharacters':signs, + 'tensorized_Lambda_counterexample':{'columns':2,'odd_columns':2,'correct_global_Lambda':1,'incorrect_tensor_Lambda':-1}, + 'rule':'Lambda_f=a I+b Q_f^2; coefficients a,b occur once, outside the tensor power.'} + + +def run(): + pins=authenticate();word,base,root,wit,native,phases=[read(x)for x in ['WORD.json','BASE.json','ROOT.json','WITNESS.json','NATIVE.json.gz','PHASES.json']] + contract=native_contract(native);central=central_normalization() + sourceword=read('SOURCE-WORD.json');source=physical(sourceword,native,phases) + geometry=physical(word,native,phases) + for actual,saved in [(source,read('SOURCE-PRIMARY.json')['candidate']['physical']), + (geometry,read('PRIMARY.json')['candidate']['physical'])]: + for k in ['ports','full_calls','physical_contacts','main_targets','whole_idle_jobs','route_payload_sha256','ordinary_normalizations']: + expected=saved[k] + if isinstance(expected,dict):expected={int(k):v for k,v in expected.items()} + need(actual[k]==expected,'independent physical application equals exact frozen original/candidate '+k) + boundary=changed_boundary(base,word,root,wit) + bill=allocation_and_bill(word,native,contract,geometry) + primary=read('PRIMARY.json')['candidate']['complete_cost'] + for name in ['targets','paid']:need(bill[name]=={int(k):v for k,v in primary[name].items()},'complete actual event bill '+name) + controls={} + controls['absolute_phase_only']=rejected(lambda:phase_equal([],[],2)) + controls['missing_central_square_translation']=rejected(lambda:phase_equal([(11,-1)],[(11,1)])) + bad=json.loads(json.dumps(word));bad['events'][0]=['ADD',0,34,'1'] + controls['fresh_input_read_before_handoff']=rejected(lambda:changed_boundary(base,bad,root,wit)) + bad=json.loads(json.dumps(base));bad['events'][164][3]=[5,6,7,8,8] + controls['fused_duplicate_or_lost_axis']=rejected(lambda:changed_boundary(bad,word,root,wit)) + bad=json.loads(json.dumps(word));bad['diagonal'][34][0]=-1 + controls['unearned_fresh_central_target']=rejected(lambda:changed_boundary(base,bad,root,wit)) + return {'schema':'independent-p104-application-delta/1','status':'PASS_SOURCE_BOUND_PHASES_ALLOCATION_AND_NEW_DELTA', + 'authenticated_inputs':pins,'native_contract':contract,'original_6702_physical_positive_control':source, + 'actual_central_and_global_normalization':central, + 'candidate_physical':geometry,'changed_boundary':boundary,'allocation_and_exact_bill':bill, + 'negative_controls':controls,'scope':'Independent caller phase/route/whole-idle/target and chronological owner application checks. No import of author replay/native/physical/price. Native scalar endpoints, 2939 internal maps and five all-size framework assumptions remain inherited, not newly proved. All evidence is author-side, not scientific admission.'} + + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--write',action='store_true');a=p.parse_args() + result=run();raw=json.dumps(result,sort_keys=True,indent=2)+'\n';path=HERE/'APPLICATION.json' + if a.write:path.write_text(raw) + else:need(path.read_text()==raw,'read-only exact application receipt') + print(json.dumps({'status':result['status'],'contacts':result['candidate_physical']['physical_contacts'], + 'paid_jobs':result['allocation_and_exact_bill']['paid_jobs'], + 'productive_jobs':result['allocation_and_exact_bill']['productive_jobs']},sort_keys=True)) diff --git a/research/p104-common-idle-double-retirement/application/inputs/BASE.json b/research/p104-common-idle-double-retirement/application/inputs/BASE.json new file mode 100644 index 0000000000..2a3c9e65fe --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/inputs/BASE.json @@ -0,0 +1,4041 @@ +{ + "schema": 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complete recipe is unchanged except its port index; the retained parent polynomial checks establish every selected equality.","scope":"All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. Internal arbitrary-subspace canonical labels are checked separately.","source_parent_sha256":"f621f6d4296cb215f334830356c5f79fe10d6d04d15b3ccda76ba0885ab67d0a","status":"PASS_EXACT_Z4_DATA_ROUTE_IDLE_AND_TERMINAL_PHASES","terminal_omission_controls_rejected":112} diff --git a/research/p104-common-idle-double-retirement/application/inputs/PRIMARY.json b/research/p104-common-idle-double-retirement/application/inputs/PRIMARY.json new file mode 100644 index 0000000000..b639cbca36 --- /dev/null +++ b/research/p104-common-idle-double-retirement/application/inputs/PRIMARY.json @@ -0,0 +1,418 @@ +{ + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "candidate": { + "caller": { + "coefficients": 1225, + "event_sha256": "a709b88887852095b1c2f494f370b7d837d13eba040edeb4de21b331d9d71f49", + "events": 586, + "inputs": 35, + "native_stages": 18 + }, + "changes": { + "gain": "33/5000000", + "interpretation": "Second-retirement-equivalent signed gain; not two literal retirements.", + "literal_retirement_operations": 1, + "new_claim": "16521/5000000", + "previous_claim": "0.00329760", + "proof": "Strict subadditivity supplies the first positive summand; decreasing concave increments supply the second.", + "rank_mass_delta": 0, + "signed_histogram_delta": { + "1": 104, + "16": 104, + "17": -104, + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "source_crossing_upper": "164881067399896280760569/50000000000000000000000000", + "strict_gain_for_all_powers": "104*(H1+H16-H17)+208*((H41-H40)-(H57-H56)) > 0 for H(r)=r^t, 0 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999253/350000000000", + "fixed_halo_explicit_metadata_branch": "26950000001/350000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799997009/1400000000000", + "new_semantic_group_guard": "3/1400000000" + }, + "margins": { + "boundary_algebraic_matrix": "6476237595374117/1960000000000000000", + "fused_gaussian": "6476237586122351/1960000000000000000", + "global_coordinate_router": "1156471/350000000", + "group_bit_router": "1619059746530587/490000000000000000", + "group_scans": "699999999/700000000", + "main_transform": "6476236195374117/1960000000000000000", + "microbox_face_corrections": "26950000001/350000000", + "polynomial_products": "1399999999/1400000000", + "sparse_union_movement": "802726237595374117/1960000000000000000" + }, + "parameters": { + "a": "1156471/350000000", + "b": "925177/280000000", + "beta": "1399999997/1400000000", + "bit_saving": "17/5000", + "cap_xi": "1782726236195374117/1960000000000000000", + "complex_uniform_saving": "2312943/700000000", + "d": "1/1400000000", + "epsilon": "1399999999/1400000000", + "kappa": "16521/5000000", + "lambda_": "398678319/400000000", + "lambda_prime": "1395374117/1400000000", + "layout": "1/1400000000", + "q": "4625883/1400000000", + "r0": "1/14000000000", + "stop": "1/1400000000", + "tested_saving": "660841/200000000" + }, + "strict_checks": { + "actual_bit_above_effective": "33529/350000000", + "actual_logarithmic_gamma_guard": "1/1400000000", + "actual_logarithmic_group_guard": "177273765904625883/980000000000000000", + "alpha_logarithm_absorption": "1/14000000000", + "boundary_algebraic_matrix_above_kappa": "5595374117/1960000000000000000", + "cap_above_band": "802726236195374117/1960000000000000000", + "cap_below_cell": "177273762404625883/1960000000000000000", + "cap_below_phase_cell_power": "2137273763804625883/1960000000000000000", + "complex_above_effective": "1/1400000000", + "complex_below_one_over_32": "7824823/280000000", + "complex_endpoint": "1/700000000", + "epsilon_below_one": "1/1400000000", + "epsilon_positive": "1399999999/1400000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586122351/1960000000000000000", + "gaussian_above_main": "695374117/980000000000000000", + "global_coordinate_router_above_kappa": "1/350000000", + "global_gamma_power_slack": "9/14000000000", + "group_below_dimension": "1/700000000", + "group_bit_router_above_kappa": "1746530587/490000000000000000", + "group_gauge_power_slack": "177273765834625883/980000000000000000", + "group_key_fits_record": "1/700000000", + "group_positive": "1399999997/1400000000", + "group_scans_above_kappa": "697687059/700000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "786614790400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000", + "lambda_above_sigma": "3/2800000000", + "lambda_above_tau": "1/2800000000", + "lambda_prime_above_lambda": "1/2800000000", + "lambda_prime_above_leaf": "559074823/392000000000000000", + "leaf_saving_above_effective": "279074823/392000000000000000", + "main_transform_above_kappa": "4195374117/1960000000000000000", + "membership_arithmetic_fits_record": "1/1400000000", + "microbox_face_corrections_above_kappa": "26948843531/350000000", + "microbox_halo_volume": "110600000003/1400000000", + "new_complex_uniform_saving_above_b": "1/1400000000", + "new_semantic_guard_with_C1_one": "1/1400000000", + "polynomial_products_above_kappa": "1395374119/1400000000", + "positive_layout_slack": "1/1400000000", + "q_below_effective": "1/1400000000", + "q_below_internal": "1/1400000000", + "q_below_leaf": "559074823/392000000000000000", + "q_positive": "4625883/1400000000", + "short_record_fallback": "279074823/280000000", + "source_axis_superpolynomial": "1/1400000000", + "sparse_union_movement_above_kappa": "796250005595374117/1960000000000000000", + "stop_below_one": "1399999999/1400000000", + "stop_positive": "1/1400000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000", + "union_tag_work_per_visit_fits_record": "3/1400000000" + } + }, + "paid": { + "1": 41926, + "16": 1664, + "2": 8172, + "24": 416, + "3": 8820, + "32": 520, + "4": 1962, + "40": 416, + "5": 2736, + "6": 144, + "7": 162, + "8": 18 + }, + "paid_calls": 66956, + "productive_fields": 13774, + "rank_mass_surplus": 760, + "raw_endpoint_margins": { + "lower": { + "first": { + "lower": "0.000000007454460215019814309042", + "upper": "0.000000007454460215019814309043" + }, + "second": { + "lower": "0.000000007454460215019814309042", + "upper": "0.000000007454460215019814309043" + } + }, + "tested": { + "first": { + "lower": "0.017232584251935408338722799841", + "upper": "0.017232584251935408338722799842" + }, + "second": { + "lower": "0.017232584251935408338722799841", + "upper": "0.017232584251935408338722799842" + } + }, + "upper": { + "first": { + "lower": "-0.000000015393291719149445858928", + "upper": "-0.000000015393291719149445858927" + }, + "second": { + "lower": "-0.000000015393291719149445858928", + "upper": "-0.000000015393291719149445858927" + } + } + }, + "raw_root_interval": [ + "6608560847/2000000000000", + "8260701059/2500000000000" + ], + "scope": "Complete conditional price, requiring the supplied caller/native/physical inputs to be independently verified by the package. Does not itself verify those scientific inputs, discharge inherited assumptions, establish scientific admission, or change selected kappa.", + "source_assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "status": "PASS_COMMON_IDLE_SECOND_RETIREMENT_COMPLETE_PRICE", + "strictification": { + "alpha": { + "lower": "0.999999902802669509761975112743", + "upper": "0.999999902802669509761975112744" + }, + "cutoff": 11, + "decay": "31/32", + "delta": { + "lower": "0.924920225843345581756322290212", + "upper": "0.924920225843345581756322290213" + }, + "floor": 12, + "gamma": { + "lower": "0.920220774548954055655620414799", + "upper": "0.920220774548954055655620414800" + }, + "normalized_upper": 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+ "offset": "1/7", + "power": 1920, + "rejected_old_delta": { + "lower": "1.001708875192206773363471917075", + "upper": "1.001708875192206773363471917076" + }, + "reserve": "1/1000000000000000000000000000" + }, + "targets": { + "1": 564, + "145": 104, + "17": 1664, + "2": 144, + "25": 416, + "3": 72, + "32": 104, + "33": 416, + "4": 1944, + "41": 416, + "5": 288, + "6": 54, + "7": 162, + "73": 208, + "8": 720, + "9": 6498 + }, + "tested": "660841/200000000", + "thin_queries": 17, + "whole_idle_jobs": 3016 + }, + "controls": { + "extra_productive_credit": "Every main target has its checked absolute physical phase", + "missing_add": "Every arbitrary-input forward coefficient", + "missing_handoff": "Every arbitrary-input forward coefficient", + "missing_idle": "Every arbitrary-input forward coefficient", + "missing_idle_one": "Every arbitrary-input forward coefficient", + "missing_input_basis": "Every arbitrary-input forward coefficient", + "missing_lambda": "Every arbitrary-input forward coefficient", + "missing_local": "Every distinct native stage once", + "missing_query": "Every arbitrary-input forward coefficient", + "missing_return": "Every arbitrary-input forward coefficient", + "repeated_fused_axis": "Distinct whole-idle axes", + "unearned_fresh_central_target": "Every independent reverse caller coefficient", + "unpaid_native_job": "Exact PR6702 paid and independent-helper boundary" + }, + "dual_pair": { + "cut_after": 353, + "cut_pairing": "1", + "input_pairing": "1", + "ordinary_coefficients": "rational dyadics; no unpaid S or stage factor", + "prefix_column": "P d = S b", + "prefix_row": "a P = S c" + }, + "native_unchanged": { + "all_columns": 800, + "native_program_events": 18577, + "owned_fields": 29, + "owned_lifetimes": 47, + "peak_owned_fields": 14, + "public_inputs": 771 + }, + "physical": { + "central_square_columns": 53248, + "central_translations": 0, + "full_calls": 18, + "main_targets": { + "1": 312, + "145": 104, + "17": 1664, + "25": 416, + "32": 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b/research/p104-common-idle-double-retirement/application/source_chain.py @@ -0,0 +1,66 @@ +"""Read only the two pinned source archives; never execute their code.""" +from pathlib import Path +from hashlib import sha256,sha1 +from io import BytesIO +import argparse +import gzip +import json +import tarfile + +HERE=Path(__file__).resolve().parent + + +def need(ok,why): + if not ok:raise ValueError(why) + + +def checked(b,pin): + need(sha256(b).hexdigest()==pin['sha256'],'exact source member SHA') + need(sha1(b'blob '+str(len(b)).encode()+b'\0'+b).hexdigest()==pin['git_blob'],'exact source member blob') + + +def run(package): + pins=json.loads((HERE/'inputs/SOURCE6702.json').read_bytes()) + need(pins['source_head']=='edd6a37a9ff87b254fb7466184348d1432d0c8c0','6702 exact owning head') + for pin in pins['files']:checked((package/pin['path']).read_bytes(),pin) + b=(package/'source6702/source.tar').read_bytes() + outer=json.loads((HERE/'inputs/SOURCE-RETAINED.json').read_bytes()) + need(sha256(b).hexdigest()==outer['archive_sha256'],'exact outer retained archive') + with tarfile.open(fileobj=BytesIO(b),mode='r:')as tar: + raw=tar.extractfile('research/gaussian-root-retirement/RETAINED.json').read() + need(raw==(HERE/'inputs/NATIVE-RETAINED.json').read_bytes(),'exact extracted native inventory') + record=json.loads(raw)['native'] + native_archive=tar.extractfile('research/gaussian-root-retirement/'+record['archive']).read() + need(sha256(native_archive).hexdigest()==record['archive_sha256'],'exact nested native archive') + with tarfile.open(fileobj=BytesIO(native_archive),mode='r:')as tar: + raw=tar.extractfile('research/p104-scaled-transport-fusion/WORD.json.gz').read() + base_raw=tar.extractfile('research/p104-scaled-transport-fusion/BASEWORD.json.gz').read() + need(raw==(HERE/'inputs/NATIVE.json.gz').read_bytes(),'actual nested word is the independent checker input') + current=json.loads(gzip.decompress(raw));base=json.loads(gzip.decompress(base_raw)) + need(current['frames']==base['frames'],'retained base/current share literal native frame alphabet') + def tasks(w): + main=set(w['live'])|{r+112 for r in w['live']} + return {(e[2],e[3])for e in w['program']if e[0]=='MOVE'}|{ + (w['initial'][r],w['final'][r])for r in range(w['public'])if r not in main} + before,after=tasks(base),tasks(current) + added=[{'frame_ids':[a,b],'source_axes':current['frames'][a], + 'target_axes':current['frames'][b], + 'paid_rank':abs(len(current['frames'][a])-len(current['frames'][b]))} + for a,b in sorted(after-before)] + return {'schema':'p104-actual-outer-source-chain/1','status':'PASS_EXACT_6702_ARCHIVE_MEMBER_CUSTODY', + 'owning_head':pins['source_head'],'outer_source_files_checked':len(pins['files']), + 'outer_archive_sha256':outer['archive_sha256'],'native_archive_sha256':record['archive_sha256'], + 'native_word_sha256':sha256(raw).hexdigest(),'source_code_executed':False, + 'retained_BASEWORD_sha256':sha256(base_raw).hexdigest(), + 'literal_task_delta_vs_retained_BASEWORD':{'base_tasks':len(before),'current_tasks':len(after), + 'added':added,'removed':[list(x)for x in sorted(before-after)], + 'scope':'Combined edited current native versus its retained6529 BASEWORD, not a map equivalence test and not a delta versus6030 or6621 alone.'}, + 'scope':'Exact original6702 container custody. Retained nested head labels are lineage labels; modified members are authenticated by this actual outer archive, not asserted to belong directly to those earlier Git trees.'} + + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--package',type=Path,required=True);p.add_argument('--write',action='store_true');a=p.parse_args() + r=run(a.package);text=json.dumps(r,sort_keys=True,indent=2)+'\n';path=HERE/'SOURCE-CHAIN.json' + if a.write:path.write_text(text) + else:need(path.read_text()==text,'read-only source chain receipt') + print(r['status']) diff --git a/research/p104-common-idle-double-retirement/caller.py b/research/p104-common-idle-double-retirement/caller.py new file mode 100644 index 0000000000..9a7abb8ec7 --- /dev/null +++ b/research/p104-common-idle-double-retirement/caller.py @@ -0,0 +1,134 @@ +"""Changed eight-field common-idle caller, using exact ordinary bases. + +Cinna Davis supplies the native query and binary supplier lineage. The +six-field root and exact coefficient-ring replay are by Ali Romman with +Codex assistance. The changed rank-(2,4,4,3,2) root, common-idle fusion and +fresh-input application are by thu-nmrc with substantial Codex assistance. +Apache-2.0. This constructor requires only the Python standard library. +""" +from collections import Counter +from copy import deepcopy +from hashlib import sha256 +from pathlib import Path +import json +from algebra import Q,accumulate,coefficient,eye,matrix,need,shifted,zmul +HERE=Path(__file__).resolve().parent + +def unit(q): + q=Q(q) + return q and abs(q.numerator)&(abs(q.numerator)-1)==0 and q.denominator&(q.denominator-1)==0 + +def construct(): + data=json.loads((HERE/'ROOT.json').read_text()) + full,masks=data['full_sites'],data['masks'] + bases={int(i):matrix(m)for i,m in data['bases'].items()} + events,targets,nodes,cuts=[],{},[],{} + stage,next_role=0,8 + def emit(op,*args):events.append([op,*args]) + def mix(rows): + a=deepcopy(rows);ops=[] + for j in range(8): + k=next((k for k in range(j,8)if unit(a[k][j])),None) + need(k is not None,'Declared dyadic unit pivot') + if k!=j:a[j],a[k]=a[k],a[j];ops.append(['SWAP',j,k]) + c=1/a[j][j] + if c!=1:a[j]=[c*x for x in a[j]];ops.append(['SCALE',j,str(c)]) + for k in range(8): + if k!=j and a[k][j]: + c=-a[k][j];a[k]=[x+c*y for x,y in zip(a[k],a[j])];ops.append(['ADD',k,j,str(c)]) + need(a==eye(8),'Complete ordinary basis elimination') + for e in reversed(ops): + if e[0]=='ADD':e[-1]=str(-Q(e[-1])) + elif e[0]=='SCALE':e[-1]=str(1/Q(e[-1])) + emit(*e) + def label(t): + nonlocal stage + if t==1:stage+=1;return {'stage':stage,'stages':[stage]} + a,b=map(label,t);return {'left':a,'right':b,'stages':a['stages']+b['stages']} + def shape(n): + return 1 if n==1 else [shape(n//2),shape(n-n//2)] + trees=[label(shape(n))for n in data['child_sizes']] + need(trees==data['trees'],'Declared independent stage allocation') + def query(x,y): + emit('LAMBDA',x,-1);emit('QUERY',x,y,-1);emit('LAMBDA',x,1) + def supplier(t,x,y): + nonlocal next_role + if 'stage'in t: + emit('LAMBDA',x,-1);emit('LOCAL',t['stage'],y,x);emit('LAMBDA',x,1);return + a,b=next_role,next_role+1;next_role+=2;st=t['stages'];nodes.append({'roles':[a,b],'stages':st}) + emit('SWAP',x,b);emit('SWAP',y,a);emit('SWAP',a,b) + emit('ADD',x,a,'1');emit('ADD',b,y,'-1');query(a,b) + cuts[tuple(st)]={'cut_after':len(events)-1,'pivot_aux':[a,b],'active':[x,y]} + emit('ADD',b,y,'1');emit('ADD',x,a,'-1');emit('IDLE',a,b,st) + emit('SCALE',y,'-1');supplier(t['left'],y,x);emit('SCALE',y,'-1');supplier(t['right'],x,y) + emit('ADD',x,a,'1');emit('SCALE',a,'-1');emit('ADD',a,x,'1');emit('SWAP',y,b);emit('SCALE',b,'-1');emit('ADD',b,y,'1') + targets[a],targets[b]=[-1,st],[-1,st] + from algebra import inverse + fi,i=0,0 + while i<9: + c=bases[i];mix(inverse(c)) + if i==1: + b,ct=trees[fi:fi+2];fi+=2 + supplier(b,0,1);emit('ADD',0,1,'-1') + emit('SCALE',1,'-1');supplier(ct,1,0);emit('SCALE',1,'-1');emit('ADD',1,0,'1') + emit('IDLE',2,3,b['stages']+ct['stages']);i+=2 + elif i in full: + t=trees[fi];fi+=1;supplier(t,0,1);emit('ADD',0,1,'-1') + for r in range(2,masks[full.index(i)].bit_count()):emit('IDLE_ONE',r,t['stages']) + i+=1 + else:query(0,1);emit('ADD',0,1,'-1');i+=1 + mix(c) + for r in range(8): + targets[r]=[-1,[j for mask,t in zip(masks,trees)if mask>>r&1 for j in t['stages']]] + for r in range(next_role):emit('LAMBDA',r,-1) + diagonal=[[targets[r][0],0]+[int(j in targets[r][1])for j in range(1,stage+1)]for r in range(next_role)] + need((stage,next_role)==(18,34),'Complete caller dimensions') + return {'schema':'root8-common-idle-fusion/1','roles':next_role,'stages':stage,'ambient_rank':9+8*stage, + 'events':events,'diagonal':diagonal,'nodes':nodes} + +def replay(word): + n,width=word['roles'],word['stages']+2;zero=(0,)*width + rows=[[{zero:coefficient(1)}if i==j else {}for j in range(n)]for i in range(n)];seen=[] + for event in word['events']: + op=event[0] + if op=='ADD': + _,dst,src,c=event + for a,b in zip(rows[dst],rows[src]):accumulate(a,b,coefficient(c)) + elif op=='SCALE': + _,dst,c=event;rows[dst]=[{key:zmul(coefficient(c),value)for key,value in cell.items()}for cell in rows[dst]] + elif op=='SWAP': + _,a,b=event;rows[a],rows[b]=rows[b],rows[a] + elif op in ('LOCAL','QUERY'): + if op=='LOCAL':_,stage,src,dst=event;exponent=-1;seen.append(stage) + else:_,dst,src,exponent=event + term=(exponent,)+(0,)*(width-1) + for a,b in zip(rows[dst],shifted(rows[src],term)):accumulate(a,b) + if op=='LOCAL': + term=(0,)+tuple(int(s==stage)for s in range(width-1)) + for r in (src,dst):rows[r]=shifted(rows[r],term) + elif op=='Q_POWER':rows[event[1]]=shifted(rows[event[1]],(event[2],)+(0,)*(width-1)) + elif op=='LAMBDA': + _,r,sign=event;need(sign in(-1,1),'Ordinary normalization sign') + old=rows[r];other=shifted(old,(2,)+(0,)*(width-1));rows[r]=[{}for _ in range(n)] + for dst,a,b in zip(rows[r],old,other): + accumulate(dst,a,(Q(1,2),Q(sign,2)));accumulate(dst,b,(Q(1,2),Q(-sign,2))) + elif op in('IDLE','IDLE_ONE'): + roles,stages=(event[1:3],event[3])if op=='IDLE'else([event[1]],event[2]) + need(len(stages)==len(set(stages)),'Distinct whole-idle axes') + term=(0,)+tuple(int(s in stages)for s in range(width-1)) + for r in roles:rows[r]=shifted(rows[r],term) + else:raise ValueError('Unknown caller opcode') + expected=[[{(word['diagonal'][i][0]%4,)+tuple(word['diagonal'][i][1:]):coefficient(1)}if i==j else {}for j in range(n)]for i in range(n)] + need(sorted(seen)==list(range(1,word['stages']+1)),'Every distinct native stage once') + need(rows==expected,'Every arbitrary-input forward coefficient') + return {'inputs':n,'coefficients':n*n,'native_stages':len(seen),'events':len(word['events']), + 'event_sha256':sha256(json.dumps(word['events'],separators=(',',':')).encode()).hexdigest()} + +def controls(word): + controls={} + for op in('LOCAL','QUERY','IDLE','IDLE_ONE','LAMBDA','ADD'): + bad=deepcopy(word);del bad['events'][next(i for i,e in enumerate(bad['events'])if e[0]==op)] + try:replay(bad) + except ValueError as error:controls['missing_'+op.lower()]=str(error) + else:raise ValueError('Missing gate accepted: '+op) + return controls diff --git a/research/p104-common-idle-double-retirement/changes.py b/research/p104-common-idle-double-retirement/changes.py new file mode 100644 index 0000000000..1a8c3479cc --- /dev/null +++ b/research/p104-common-idle-double-retirement/changes.py @@ -0,0 +1,21 @@ +"""Exact complete signed-invoice comparison, not a paid-count shortcut.""" +from collections import Counter +from fractions import Fraction as Q + +def verify(new,old): + def hist(record,key):return Counter({int(k):v for k,v in record[key].items()}) + T,P=hist(new,'targets'),hist(new,'paid');t,p=hist(old,'targets'),hist(old,'paid') + delta=Counter(T);delta.subtract(P);delta.subtract(t);delta.update(p) + delta={r:n for r,n in delta.items()if n} + expected={1:104,16:104,17:-104,41:208,40:-208,57:-208,56:208} + if delta!=expected:raise ValueError('Complete signed invoice differs from proved concave gain') + if sum(r*n for r,n in delta.items())!=0:raise ValueError('Rank mass changed') + bracket=old['raw_root_interval'];upper=Q(bracket[1]) + if not upper 0 for H(r)=r^t, 00 and second[0]>0, + 'Both engines prove the raw endpoint/tested signs') + endpoints[name]={'first':E.display(first),'second':E.display(second)} + signed=Counter(T);signed.subtract(P);derivative=Q(0) + for r,n in signed.items(): + log=E.log_bounds(r) + derivative-=n*(E.mul(E.power(r,1-Q('.0034')),log)[0]if n>=0 else r*log[1]) + need(derivative<0,'Unique raw crossing through the retained BIT cap') + t,offset,power,cutoff,floor=1-TESTED,Q(1,7),1920,11,12 + target,paid=E.moment(T,t),E.moment(P,t) + alpha=E.divide(paid,target) + gamma=E.divide(E.moment(P,t+offset),E.mul(E.power(cutoff,offset),target)) + delta=E.divide((Q(sum(T.values())*floor),)*2,E.mul(E.power(cutoff,TESTED),target)) + reserve,decay=Q(1,10**27),Q(31,32) + need(alpha[1]<1-reserve and gamma[1]1,'The unchanged predecessor12/13 cutoff is invalid') + normalized=1/(1+power*reserve)+4*decay**power + need(normalized<1 and cutoff**64theta**logarithm_power,'Compiler shifted exits and complement capacity') + need(factor[1]<2**logarithm_power,'Compiler initial range') + gap=(TESTED-KAPPA)/7;need(gap.numerator==1,'Exact positive compiler grid') + step=gap.denominator + def wins(j):return(step*j+1)**logarithm_power<2**j + left,right=1,2 + while not wins(right):left,right=right,2*right + while right-left>1: + middle=(left+right)//2 + if wins(middle):right=middle + else:left=middle + H=step*right + need(H>8*power and wins(right)and not wins(right-1),'Explicit uniform threshold and adjacent-grid control') + bit=L.read(L.ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom=Q(bit['atom']);ordinary_bit=(1-atom)*Q(bit['after_cover'])+atom*Q('.0000384599');admitted=Q(bit['admitted']) + need(atom>ordinary_bit>admitted>TESTED and atom<1-ordinary_bit,'Retained ordinary/admitted BIT stock and savings') + outer_module=L.load(L.ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py','root8_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) + need(len(outer['strict_checks'])==54 and len(outer['functional_checks'])==4,'Complete54+4 outer inventory') + need(all(v>0 for k in('strict_checks','functional_checks')for v in outer[k].values()),'Every outer inequality is strict') + bad=outer_module.ledger(dict(params,bit_saving=Q('.0027'))) + need(any(v<=0 for v in bad['strict_checks'].values()),'Insufficient BIT budget rejected') + work['paid_rank_mass']=sum(r*n for r,n in P.items()) + return encode({'status':'PASS_COMMON_IDLE_SECOND_RETIREMENT_COMPLETE_PRICE','kappa':KAPPA,'tested':TESTED, + 'targets':T,'paid':P,'productive_fields':sum(T.values()),'paid_calls':sum(P.values()),'rank_mass_surplus':760, + 'full_calls':18,'thin_queries':17,'whole_idle_jobs':3016,'counts':counts,'raw_root_interval':[lower,upper], + 'raw_endpoint_margins':endpoints,'derivative_upper':derivative,'nonrecursive':work, + 'strictification':{'power':power,'cutoff':cutoff,'floor':floor,'offset':offset,'reserve':reserve,'decay':decay, + 'alpha':E.display(alpha),'gamma':E.display(gamma),'delta':E.display(delta), + 'rejected_old_delta':E.display(old_delta),'normalized_upper':normalized}, + 'compiler':{'H':H,'N':'2^'+str(H),'integer_test_exponent':right,'theta':theta,'logarithm_power':logarithm_power, + 'eta':E.display(eta),'gap':gap,'uniform_saving':params['complex_uniform_saving'],'word_materialized':False}, + 'ordinary_BIT':bit,'outer':outer,'source_assumptions':['native_all_columns','owned_erasure','compiler','precision_tape','analytic_recovery'], + 'scope':'Complete conditional price, requiring the supplied caller/native/physical inputs to be independently verified by the package. Does not itself verify those scientific inputs, discharge inherited assumptions, establish scientific admission, or change selected kappa.'}) diff --git a/research/p104-common-idle-double-retirement/retirement.py b/research/p104-common-idle-double-retirement/retirement.py new file mode 100644 index 0000000000..59f87da717 --- /dev/null +++ b/research/p104-common-idle-double-retirement/retirement.py @@ -0,0 +1,48 @@ +"""Exact ordinary two-sided retirement on the changed eight-field caller. + +The dual-pair method is inherited from PR5599/PR6545. The new prefix and +its explicit rational pairs are source-specific and independently checked. +""" +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +import json +HERE=Path(__file__).resolve().parent +G=[['SCALE',4,'-1'],['ADD',21,4,'1'],['ADD',4,20,'1']] +J=[['SWAP',4,21],['ADD',4,1,'1'],['ADD',4,20,'-1'], + ['ADD',0,4,'2'],['ADD',2,4,'-2'],['ADD',20,4,'2']] +def inverse(events): + out=deepcopy(list(reversed(events))) + for e in out: + if e[0]=='ADD':e[-1]=str(-Q(e[-1])) + elif e[0]=='SCALE':e[-1]=str(1/Q(e[-1])) + elif e[0]=='LAMBDA':e[-1]=-e[-1] + elif e[0]!='SWAP':raise ValueError('ordinary basis only') + return out +def construct(source): + w=deepcopy(source);cut=353;pivot=4;fresh=w['roles'];group=[4,20,21] + if w['events'][cut]!=['LAMBDA',20,1]:raise ValueError('exact new cut') + if len({tuple(w['diagonal'][r][1:])for r in group})!=1:raise ValueError('equal complete targets') + normalized=w['events']+[['LAMBDA',r,1]for r in group] + slots={'ADD':(1,2),'SWAP':(1,2),'SCALE':(1,),'LAMBDA':(1,),'Q_POWER':(1,), + 'QUERY':(1,2),'LOCAL':(2,3),'IDLE':(1,2),'IDLE_ONE':(1,)} + def rename(e): + e=deepcopy(e) + for j in slots[e[0]]: + if e[j]==pivot:e[j]=fresh + return e + w['events']=inverse(G)+normalized[:cut+1]+J + handoff=len(w['events'])-1 + w['events'] += [rename(e)for e in inverse(J)+normalized[cut+1:]+G] + w['events'] += [['LAMBDA',r,-1]for r in group] + w['roles']+=1 + w['diagonal'][pivot]=[-1]+[0]*(w['stages']+1) + w['diagonal'].append([0,*source['diagonal'][pivot][1:]]) + return w,{'cut_after':cut,'handoff_after':handoff,'pivot':pivot,'fresh':fresh,'group':group, + 'boundary':G,'middle':J, + 'a':{'1':'1','20':'-1','21':'1'},'b':{'0':'-2','2':'2','20':'-2','21':'-1'}, + 'c':{'20':'1','4':'-1'},'d':{'4':'-1','21':'-1'}} +if __name__=='__main__': + w,p=construct(json.loads((HERE/'CONTROLLER-UNRETIRED.json').read_text())) + (HERE/'CONTROLLER.json').write_text(json.dumps(w,indent=2)+'\n');(HERE/'WITNESS.json').write_text(json.dumps(p,indent=2)+'\n') + print(json.dumps({'fields':w['roles'],'events':len(w['events']),'fresh':p['fresh'],'cut':p['cut_after']})) diff --git a/research/p104-common-idle-double-retirement/root_check.py b/research/p104-common-idle-double-retirement/root_check.py new file mode 100644 index 0000000000..d60c451538 --- /dev/null +++ b/research/p104-common-idle-double-retirement/root_check.py @@ -0,0 +1,56 @@ +"""Exact rational common-projector and common-idle decomposition checks.""" +from itertools import product +from algebra import Q,need,eye,matrix,multiply,inverse,add + +def rank(a): + a=[r[:]for r in a];i=0 + for j in range(len(a[0])): + k=next((k for k in range(i,len(a))if a[k][j]),None) + if k is None:continue + a[i],a[k]=a[k],a[i];c=a[i][j];a[i]=[x/c for x in a[i]] + for k in range(len(a)): + if k!=i: + c=a[k][j];a[k]=[x-c*y for x,y in zip(a[k],a[i])] + i+=1 + return i + +def verify(data): + I=eye(8);Z=[[Q(0)]*8 for _ in range(8)] + def diag(mask):return [[Q(int(i==j and mask>>i&1))for j in range(8)]for i in range(8)] + Rs=[matrix(r)for r in data['queries']];full=data['full_sites'];masks=data['masks'] + ps={i:diag(masks[full.index(i)])for i in full};K=I + E=[[Q(int(i==0 and j==1))for j in range(8)]for i in range(8)] + for i,R in enumerate(Rs): + need(rank(R)==1 and multiply(R,R)==Z,'Rank-one square-zero literal query') + K=multiply(add(I,R,-2),K) + if i in ps: + P=ps[i] + need(multiply(P,R)==R and multiply(R,P)==R,'Full-stage support') + need(multiply(P,K)==multiply(K,P),'Exact stage-prefix commutation') + if i==2:continue + C=matrix(data['bases'][str(i)]);Ci=inverse(C) + need(multiply(multiply(Ci,R),C)==E,'Source native query coordinates') + if i in ps: + rho=data['stage_ranks'][full.index(i)] + need(multiply(multiply(Ci,ps[i]),C)==diag((1<32 or increment>32:raise ValueError('Fresh 32-unit ordinary envelope fails') + total+=work;height+=increment + return {'real_scalar_units_per_port':total,'coefficient_height_units':height, + 'max_scalar':str(maximum),'per_instruction_envelope':32,'event_census':dict(counts), + 'ordinary_lambdas':counts['LAMBDA'],'uncharged_gaussian_jobs':0} diff --git a/research/p104-common-idle-double-retirement/source6702/ADAPTERS.json b/research/p104-common-idle-double-retirement/source6702/ADAPTERS.json new file mode 100644 index 0000000000..e5ae35abcd --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/ADAPTERS.json @@ -0,0 +1,76 @@ +{ + "driver": [ + [ + "def run(write=False):", + "def run(write=False, extension=None):" + ], + [ + "result=driver.run(services=services,extension=candidate)", + "result=driver.run(services=services,extension=candidate if extension is None else extension(candidate))" + ] + ], + "controller": [ + [ + "def construct():", + "def construct(data=None):" + ], + [ + " data = json.loads((HERE/'ROOT.json').read_text())", + " if data is None:\n data = json.loads((HERE/'ROOT.json').read_text())" + ] + ], + "pricing": [ + [ + "from controller import formula_invoice, need", + "from tree_invoice import formula_invoice, need" + ], + [ + "KAPPA = Q('0.00329394')", + "KAPPA = Q('0.00329760')" + ], + [ + "TESTED = Q('0.003293945')", + "TESTED = Q('0.003297605')" + ], + [ + "PREVIOUS = Q('0.003288299')", + "PREVIOUS = Q('0.00329700')" + ], + [ + "expected_targets.update({1:104,16:104,17:-104})", + "expected_targets.update({1:104,40:104,41:-104})" + ], + [ + "Independent tree, retirement delta and emitted-event counts", + "Independent rebalanced tree, retirement delta and emitted-event counts" + ], + [ + "'kappa_decimal': '0.00329394'", + "'kappa_decimal': '0.00329760'" + ], + [ + "Independent Gaussian retirement changes the complete productive profile.", + "Cut one public helper register of the native word in two and hand its tail to a new public register, under the rebalanced retirement caller." + ], + [ + "It includes all nine output contractions and their productive target debits.", + "It includes all nine output contractions and their productive target debits.\nThis adaptation prices the native word with one public helper register cut in two." + ], + [ + "reserve, decay = Q(1, 10**29), Q(31, 32)", + "reserve, decay = Q(1, 10**27), Q(33, 34)" + ], + [ + "need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All charged tail ratios')", + "need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All charged tail ratios')\n need(delta[0] > Q(31, 32), 'The source tail decay does not fund this tree')" + ], + [ + "'negative_controls': {'old_completion':", + "'negative_controls': {'old_tail_decay': 'The source tail decay 31/32 is below the new completion ratio.',\n 'old_completion':" + ], + [ + "This adapter keeps the root and changes the native source invoice.", + "This adapter keeps the native word and the retirement identity." + ] + ] +} diff --git a/research/p104-common-idle-double-retirement/source6702/CONTROLLER.json b/research/p104-common-idle-double-retirement/source6702/CONTROLLER.json new file mode 100644 index 0000000000..a29bd24a25 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/CONTROLLER.json @@ -0,0 +1,4414 @@ +{ + "schema": "mixed-projector-query-root/2", + "roles": 35, + "stages": 18, + "ambient_rank": 153, + "nodes": [ + { + "roles": [ + 6, + 7 + ], + "stages": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7 + ], + "exponent": 1 + }, + { + "roles": [ + 8, + 9 + ], + "stages": [ + 1, + 2, + 3 + ], + "exponent": -1 + }, + { + "roles": [ + 10, + 11 + ], + "stages": [ + 2, + 3 + ], + "exponent": -1 + }, + { + "roles": [ + 12, + 13 + ], + "stages": [ + 4, + 5, + 6, + 7 + ], + "exponent": 1 + }, + { + "roles": [ + 14, + 15 + ], + "stages": [ + 4, + 5 + ], + "exponent": -1 + }, + { + "roles": [ + 16, + 17 + ], + "stages": [ + 6, + 7 + ], + "exponent": 1 + }, + { + "roles": [ + 18, + 19 + ], + "stages": [ + 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integration: +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Apache-2.0. +No independent scientific acceptance is claimed. + +Caller, retirement-aware tree allocation, proof and checks (PR6551): +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +The executable source is retained in source.tar from original head +775722aa94a5e85b05d1d704d7dca10cbf016f0c (PR6545), with the PR6529 layer +edited as described in README.md. +RETAINED.json binds original paths, Git blobs and SHA256 values. Original +source headers and notices remain; the PR6529 verifier, pricing and word are +edited as described in README.md. ADAPTERS.json records +all changes to the source drivers, constructor and price. Runtime driver +and constructor copies are created in a private temporary directory. + +PR6545: independent Gaussian retirement, exact dual pairs and complete caller. +PR5599/5602/5611/5615: causal handoff, productive helper and basis methods. +PR6348/6398: binary query suppliers and the six-field mixed root. +PR6529: scaled transport fusion and the complete native word. +PR6524: explicit complete replay interfaces. + +Credit Rohan Arun's PR6399/6417, Erwan L.'s PR6453, DreamingOfClouds' PR6375, +PR6353/6372 and all retained native predecessors. Native work retains +Cinna Davis, David Arias, Gareth Davidson and their predecessors. Productive +recursion retains Jacob Alan Sussman's credit. Price and interval work +retains zxv, Cao Yifan, ywz65 and Nick Petalas's credit. + +Other retained contributors include Mason Hale, Pierre-Loic Doulcet and +Chris R / Clear1nsight. The source archive and its nested notices retain +the complete native, helper, compiler and analytic source attribution. diff --git a/research/p104-common-idle-double-retirement/source6702/PROOF.md b/research/p104-common-idle-double-retirement/source6702/PROOF.md new file mode 100644 index 0000000000..07eecf1bb4 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/PROOF.md @@ -0,0 +1,140 @@ +# Splitting a public helper register: exact invoice delta + +## 1. Source and what changes + +The comparison is PR6621: the PR6551 caller (the PR6545 Gaussian retirement +and the PR6398 mixed root with child trees `(7,2,5,4)`) with the PR6621 +native word, itself the PR6529 word with three compensated rewrites. The +caller, the trees, the dual pairs and the retirement proof of PR6551 are +unchanged and retained in `source.tar`. In particular the unchanged prefix +through event 328 and the equal-target argument of PR6551 section 2 apply +without modification, because the caller sees the native word only through +its public boundary. + +Only the native word changes, by one exact rewrite with its own +compensation (README.md gives the events). + +- Public helper register 607 is cut at frame 115: `final[607]` changes from + 127 to 115. +- Its tail, the frames 115 to 127, moves to a new public register 770 with + `initial[770] = 115` and `final[770] = 127`. The verifier requires every + other initial and final frame to be unchanged apart from the shift of the + owned registers by one place, and the other fields of the word to be equal. +- Three compensating ADDs are placed in frame 3 at the start and three in + frame 127 at the end. + +The verifier regenerates the PR6529 word from its retained construction and +compares it with `BASEWORD.json.gz` before it substitutes `WORD.json.gz`. The +edited word is then replayed against all 800 columns, the owned lifetimes (47 +lifetimes, peak 14), the helper maps, the absolute phases and the 7,488 +caller contacts. + +## 2. Exact profile delta + +Let H_r denote one Gaussian target or paid job of rank r. The native word is +called 18 times. From the replay in RESULT.json the edited word's local +profile differs from the PR6621 word's as follows, per call. + +```text +paid {2:+1, 4:+1, 6:-1} +targets {4:+1, 5:+1, 9:-1} +``` + +One rank-9 helper target is replaced by two targets of ranks 4 and 5, and +one rank-6 paid job by two paid jobs of ranks 2 and 4. Each replacement +preserves the rank mass (9 = 4 + 5 and 6 = 2 + 4). The complete invoice +changes by 18 times these counts: + +```text +Delta T = 18 H4 + 18 H5 - 18 H9, +Delta P = 18 H2 + 18 H4 - 18 H6. +``` + +The caller side of the invoice is identical, so these are the only changes +against PR6621. The checks in `pricing.py` confirm that the complete profile +is exactly the PR6621 profile plus this delta: productive fields rise from +13,756 to 13,774, paid jobs from 67,042 to 67,060, and the target minus paid +rank mass stays 760 (each of the two masses is unchanged per call). + +## 3. Why the gain is positive + +The signed gain is `Delta(T-P) = Delta T - Delta P`: + +```text +Delta(T-P) = 18 * [ (H5 + H6) - (H2 + H9) ]. +``` + +Take `H_r = r^t` with `0 < t < 1`. Then `f(x) = x^t` has the strictly +decreasing derivative `f'(x) = t x^(t-1)`. Hence + +```text +(H6 - H2) - (H9 - H5) = integral over [2,6] of ( f'(x) - f'(x+3) ) dx > 0, +``` + +which is `(H5 + H6) - (H2 + H9) > 0`. This is an exact all-exponent +comparison. It does not depend on the tested saving. + +Equivalently, the pair of ranks `{2, 9}` has the same sum 11 as `{5, 6}` and +majorizes it, so every strictly concave sum is larger on `{5, 6}`: the +gaining side holds two jobs of middle rank instead of one short and one long. + +## 4. Costs that are charged + +The new word has 18,577 events (16 more than before). The owned inventory +has 29 labels and 47 lifetimes with peak 14, there are 771 public registers, +and the local scalar allowance is 137,990 (was 137,866). The rank mass of +local paid and target jobs is 5,924, as before. The full ordinary-work upper +bound stays below the retained 10^9 allowance. The edit adds no unpaid +channel, helper, copy or restoration. The erasure obligations are those of +PR6621 (one shadow register, erased in frame 127 while nonzero, covered by +the same `owned_erasure` assumption), renumbered by the shift. + +### Declared package-local bounds + +Two inventory literals of the retained local and forward replay sources +bound the word. They are verifier literals from earlier packages, not SPEC. +They are changed by exact text replacement, each required to occur exactly +once in each unpacked source: + +```text +767 <= public <= 770 becomes 767 <= public <= 771 +0 < peak <= 13 becomes 0 < peak <= 14 +``` + +The edit needs the first because it adds a public register to the 770 of the +base word, and the second because the owned peak of the edited word is 14. +The retained sources are not otherwise changed. + +## 5. Conditional numerical result + +The new claimed saving is 0.00329760. The tested saving is 0.003297605. Two +rational engines certify a positive complete moment at the tested saving and +both signs of the raw root enclosure in RESULT.json. The raw crossing is +0.0032976213479979, above PR6621's 0.0032970138574525 by 6.075e-7. A +negative derivative bound gives a unique crossing below the retained BIT +cap. Both engines reject the full PR6621 invoice at the new claim. + +The retained completion tails, the integer compiler threshold and all 54 +strict plus four functional outer predicates are evaluated with the new +profiles. The completion ratio `delta` is enclosed in +`(0.970282747194658038492971336484, 0.970282747194658038492971336485)`. +As in PR6551 and PR6621, the source tail decay 31/32 is below it, and the +decay 97/100 of PR6621 is now below it as well, so the decay of this package +is 33/34 = 0.970588..., with reserve 10^(-27) at power 1920. The strict +checks are: + +- `delta` upper bound 0.970283 is below 33/34 (the charged ratio test); +- `delta` lower bound exceeds 31/32, so the source decay still does not fund + the tree; +- `gamma`, enclosed near 0.9206, and `alpha`, below 1 minus the reserve, are + also below the decay; +- `(33/34)^128 < 1/16` (about 0.0219), the block estimate used for power + 1920 = 15 * 128. + +The tail decay enters only these tail estimates. It does not enter the +crossing, so the claimed κ does not depend on it. The conditional bound has +the same form `O(n (log n)^(1-kappa))` with `kappa = 0.00329760` under the +five source framework assumptions. + +No global optimum over words or callers, unconditional multiplication +theorem, independent review or selected-frontier change is claimed. diff --git a/research/p104-common-idle-double-retirement/source6702/README.md b/research/p104-common-idle-double-retirement/source6702/README.md new file mode 100644 index 0000000000..e96c4ce269 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/README.md @@ -0,0 +1,176 @@ +# Split a public helper register of the native word under the rebalanced retirement + +The complete conditional bound is **κ = 0.00329760**. The increment over +[PR6621](https://github.com/CrocSwap/integer-mult-bounds/pull/6621), +κ = 0.00329700, is **0.00000060**. The exact raw crossings are +0.0032976213479979 here and 0.0032970138574525 in PR6621, a difference of +6.075e-7 (0.01843%). This comparison excludes all inherited gains. The +selected frontier is unchanged. + +Keep the PR6621 package: the PR6551 caller with the PR6545 retirement +identity and the child trees `(7,2,5,4)`, and the PR6621 native word. The +caller, trees and root are unchanged. Only the native word changes, by one +exact rewrite. Public helper register 607 is cut at frame 115. Its tail, the +part of its life from frame 115 to frame 127, moves to a new public register +770. Three compensating ADDs at the start of the program and three at the end +keep the arbitrary-input identity. One long helper thus becomes two shorter +ones. Per native call the paid and target profile changes by + +```text +paid {2:+1, 4:+1, 6:-1} +targets {4:+1, 5:+1, 9:-1} +``` + +The complete signed invoice (targets minus paid jobs) improves by + +```text +18 * (H5 + H6 - H2 - H9). +``` + +For `H_r = r^t`, with `0 < t < 1`, this is positive by concavity: see +PROOF.md. The construction and its complete invoice change; the old invoice +is not priced more finely. No optimum over all words or callers is claimed. + +## The edit to the PR6621 word + +- **Cut.** Register 607 keeps its life through frame 115 (`final[607]` changes + from 127 to 115). A new public register 770 starts at frame 115 and ends at + frame 127 (`initial[770] = 115`, `final[770] = 127`). The owned registers, + numbered from 770, shift up by one. The tail additions of frames 115 to 127 go to + register 770 instead of 607. +- **Start.** Three ADDs in frame 3, at the start of the program, add + `-r607/2`, `-r607` and `r607/4` to registers 173, 611 and 704. +- **End.** Three ADDs in frame 127, at the end of the program, add `r770/2`, + `r770` and `-r770/4` to the same registers. With the start ADDs they + compensate the cut; the verifier replays the edited word against all 800 + independent columns. +- **Frame 115.** An owned scratch register (795) is created and cleared in + frame 115, and the existing move of register 3 into register 611 follows + the cut. + +The new word has 18,577 events (PR6621: 18,561), one more public register +and one more owned lifetime. The erasure obligation list is unchanged: it +holds the one shadow register of PR6621, renumbered by the shift. + +### Declared package-local bounds + +The new public register and the longer owned peak need two inventory +literals to move. These are verifier literals inherited from earlier +packages. They are not part of SPEC. The verifier changes each by an exact, +counted text replacement in the unpacked retained source, in two places (the +local replay and the forward replay): + +| Literal | Before | After | +|---|---|---| +| public registers, `767 <= public <= 770` | 770 | 771 | +| owned peak, `0 < peak <= 13` | 13 | 14 | + +The tail decay of the outer completion test also changes, from 97/100 to +33/34. The new delta ratio is above 97/100, so the old value no longer +suffices. The check keeps all charged ratios strict: the upper bound of delta +is 0.970283, below 33/34 = 0.970588; its lower bound still exceeds 31/32; +and `(33/34)^128 < 1/16`. See PROOF.md section 5. + +| Complete inventory | PR6621 | This package | +|---|---:|---:| +| Native calls / thin queries | 18 / 17 | 18 / 17 | +| Native program events | 18,561 | 18,577 | +| Public registers | 770 | 771 | +| Owned lifetimes (peak) | 46 (13) | 47 (14) | +| Local scalar allowance | 137,866 | 137,990 | +| Native columns | 799 | 800 | +| Independent caller fields per port | 35 | 35 | +| Productive fields, including native helpers | 13,756 | 13,774 | +| Paid Gaussian jobs | 67,042 | 67,060 | +| Caller events | 611 | 611 | +| Rank-mass surplus | 760 | 760 | + +Read [PROOF.md](PROOF.md) for the exact delta. [ROOT.json](ROOT.json) gives +the unchanged trees. [CONTROLLER.json](CONTROLLER.json) contains every caller +event. [WITNESS.json](WITNESS.json) contains the unchanged retirement bases +and cut. [RESULT.json](RESULT.json) records both rational price engines, the +compiler, the physical maps and all outer inequalities. + +## Verification + +Use CPython 3.12 with its standard library: + +```sh +python3.12 -B scripts/research_package.py --package research/p104-helper-split-on-retirement-tree +``` + +The registered hook runs normal and optimized checks. A direct run is +`python3.12 -I -B research/p104-helper-split-on-retirement-tree/verify.py`. +The result marker is `PASS_HELPER_SPLIT_KAPPA_00329760`. +See [VALIDATION.md](VALIDATION.md) for checks that have run and their limits. + +The two rational engines enclose the raw crossing in +`(0.00329762134799792561521137, 0.00329762134799792561521138)`. The claimed +saving is 0.00329760 and the tested saving 0.003297605, both below the raw +crossing. As in PR6551 and PR6621, the old completion decay does not +suffice; the check uses decay 33/34 and reserve 10^(-27) with power 1920 and +the full tail and compiler tests. + +The verifier first regenerates the PR6529 word from its retained +construction and compares it with the base word. It then substitutes the +edited word and checks the declared public boundaries, its 800 columns, owned +lifetimes, helper maps, absolute phases and all 7,488 caller contacts, with +the base-word local profile replaced by the new one. The correction-drop +controls run on the edited word and must be rejected. It then replays the +PR6551 caller: full forward and reverse polynomial checks, the same two dual +pairs, physical target checks and a separate invoice count. Both rational +engines reject PR6621's claim at the new claim. Deletion, sign, target and +unpaid-job controls must fail. + +[source.tar](source.tar) retains the PR6545 package with its nested PR6529 +and PR6524 source archives. The PR6529 layer has the edited verifier, the +edited word `WORD.json.gz`, the base word `BASEWORD.json.gz` and the edited +pricing. The word retained here is the complete edited word, which contains +the PR6621 rewrites and this cut. [RETAINED.json](RETAINED.json) binds all +outer source files by path, Git blob and SHA256, and each nested manifest is +regenerated for the edited files. Replay needs neither network access nor +side branch Git objects. + +[ADAPTERS.json](ADAPTERS.json) declares each driver, constructor and price +edit inherited from PR6621, with the new claim constants and tail decay. + +## Scope and coordination + +This contribution is a further κ improvement on the PR6621 construction. +The task and changed premise are in [TASK.json](TASK.json). The caller, the +trees, the retirement identity and the root are PR6551's and are not claimed +here. Only the native word and its price change. + +The five inherited assumptions remain: `native_all_columns`, `owned_erasure`, +`compiler`, `precision_tape` and `analytic_recovery`. This is an +author-checked conditional construction. It is not independent scientific +acceptance, a materialized uniform word or a complete rounded integer +multiplier. No PR merge, closure or selected-result change is included. + +## Open next questions + +- Can an independent reviewer confirm the cut, its six compensating ADDs, the + two declared package-local bounds and the complete invoice delta? Start + with the delta in PROOF.md, then compare `BASEWORD.json.gz` with + `WORD.json.gz` in the PR6529 layer. +- Can other long public helpers be cut in the same way, or the native word be + rebuilt for the new profile? An edited word must supply its full + arbitrary-input endpoint and every paid job. + +The structured questions are in [TASK.json](TASK.json). + +## Credit + +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude +Code. Apache-2.0. + +The base is PR6621 (DreamingOfClouds), which merged paid jobs in the native +word under PR6551. Its lineage is credited as PR6621 credits it: the caller, +trees and package it extends are PR6551 (Ali Romman). Credit PR6545 for +independent Gaussian retirement, PR6529 for the native word and its scaled +transport fusions, PR6453 (Erwan L.) for the underlying compensated native +word, PR6398 and PR6399 for the binary suppliers and mixed root, and PR6524 +for explicit replay services. PR5599/5602/5611/5615, PR6348, Rohan Arun's +PR6417, DreamingOfClouds' PR6375 and all retained predecessors keep their +credit. See [NOTICE](NOTICE) and the original archived notices for the +native, interval, compiler and analytic contributors. diff --git a/research/p104-common-idle-double-retirement/source6702/RESULT.json b/research/p104-common-idle-double-retirement/source6702/RESULT.json new file mode 100644 index 0000000000..eed7b8fc8d --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/RESULT.json @@ -0,0 +1,356 @@ +{ + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "candidate": { + "caller": { + "coefficients": 1225, + "event_sha256": "5f0fd5f0f8fabcc568a32c60093a0496e90409e855a47a33e33d7a74c2194d47", + "events": 611, + "inputs": 35, + "native_stages": 18 + }, + "changes": { + "gain_formula": "208*(H41-H40-H57+H56)", + "paid": { + "16": -104, + "40": 312, + "56": -208 + }, + "rank_mass_change": -832, + "signed": { + "40": -208, + "41": 208, + "56": 208, + "57": -208 + }, + "targets": { + "16": -104, + "40": 104, + "41": 208, + "57": -208 + } + }, + "child_sizes": [ + 7, + 2, + 5, + 4 + ], + "complete_cost": { + "compiler": { + "H": 138100200000000, + "N": "2^138100200000000", + "eta": { + "lower": "0.000000000000020609937477408384", + "upper": "0.000000000000020609937477408385" + }, + "gap": "1/1400000000", + "integer_test_exponent": 98643, + "logarithm_power": 2100, + "theta": "63/64", + "uniform_saving": "2308323/700000000", + "word_materialized": false + }, + "derivative_upper": "-709194778809244132783181370602332732873303501116392636897858347/3138550867693340381917894711603833208051177722232017256448", + "full_forward_calls": 18, + "gain": "3/5000000", + "kappa": "2061/625000", + "kappa_decimal": "0.00329760", + "margin_at_previous": { + "lower": "0.142252610585421995157617933902", + "upper": "0.142252610585421995157617933903" + }, + "negative_controls": { + "coarse_tail": "The block tail bound cannot fund this near-limit claim.", + "old_BIT": "An outer inequality fails at BIT saving0.0027.", + "old_completion": "Cutoff16 and floor17 give a ratio above one.", + "old_tail_decay": "The source tail decay 31/32 is below the new completion ratio." + }, + "nonrecursive": { + "local_routes": 5392000, + "local_scalar": 137990, + "paid_rank_mass": 184112, + "peak_owned_fields": 14, + "raw_budget": 1000000000, + "raw_scalar_upper": 254932208, + "scalar_growth_bound": "At most 2^(10^9 + R*f), where R is the full paid rank mass." + }, + "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": "348599999253/350000000000", + "fixed_halo_explicit_metadata_branch": "26950000001/350000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799997009/1400000000000", + "new_semantic_group_guard": "3/1400000000" + }, + "margins": { + "boundary_algebraic_matrix": "6463301595383357/1960000000000000000", + "fused_gaussian": "6463301586150071/1960000000000000000", + "global_coordinate_router": "1154161/350000000", + "group_bit_router": "1615825746537517/490000000000000000", + "group_scans": "699999999/700000000", + "main_transform": "6463300195383357/1960000000000000000", + "microbox_face_corrections": "26950000001/350000000", + "polynomial_products": "1399999999/1400000000", + "sparse_union_movement": "802713301595383357/1960000000000000000" + }, + "parameters": { + "a": "1154161/350000000", + "b": "923329/280000000", + "beta": "1399999997/1400000000", + "bit_saving": "17/5000", + "cap_xi": "1782713300195383357/1960000000000000000", + "complex_uniform_saving": "2308323/700000000", + "d": "1/1400000000", + "epsilon": "1399999999/1400000000", + "kappa": "2061/625000", + "lambda_": "398680959/400000000", + "lambda_prime": "1395383357/1400000000", + "layout": "1/1400000000", + "q": "4616643/1400000000", + "r0": "1/14000000000", + "stop": "1/1400000000", + "tested_saving": "659521/200000000" + }, + "strict_checks": { + "actual_bit_above_effective": "35839/350000000", + "actual_logarithmic_gamma_guard": "1/1400000000", + "actual_logarithmic_group_guard": "177286701904616643/980000000000000000", + "alpha_logarithm_absorption": "1/14000000000", + "boundary_algebraic_matrix_above_kappa": "5595383357/1960000000000000000", + "cap_above_band": "802713300195383357/1960000000000000000", + "cap_below_cell": "177286698404616643/1960000000000000000", + "cap_below_phase_cell_power": "2137286699804616643/1960000000000000000", + "complex_above_effective": "1/1400000000", + "complex_below_one_over_32": "7826671/280000000", + "complex_endpoint": "1/700000000", + "epsilon_below_one": "1/1400000000", + "epsilon_positive": "1399999999/1400000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586150071/1960000000000000000", + "gaussian_above_main": "695383357/980000000000000000", + "global_coordinate_router_above_kappa": "1/350000000", + "global_gamma_power_slack": "9/14000000000", + "group_below_dimension": "1/700000000", + "group_bit_router_above_kappa": "1746537517/490000000000000000", + "group_gauge_power_slack": "177286701834616643/980000000000000000", + "group_key_fits_record": "1/700000000", + "group_positive": "1399999997/1400000000", + "group_scans_above_kappa": "697691679/700000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "783314790400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000", + "lambda_above_sigma": "3/2800000000", + "lambda_above_tau": "1/2800000000", + "lambda_prime_above_lambda": "1/2800000000", + "lambda_prime_above_leaf": "559076671/392000000000000000", + "leaf_saving_above_effective": "279076671/392000000000000000", + "main_transform_above_kappa": "4195383357/1960000000000000000", + "membership_arithmetic_fits_record": "1/1400000000", + "microbox_face_corrections_above_kappa": "26948845841/350000000", + "microbox_halo_volume": "110600000003/1400000000", + "new_complex_uniform_saving_above_b": "1/1400000000", + "new_semantic_guard_with_C1_one": "1/1400000000", + "polynomial_products_above_kappa": "1395383359/1400000000", + "positive_layout_slack": "1/1400000000", + "q_below_effective": "1/1400000000", + "q_below_internal": "1/1400000000", + "q_below_leaf": "559076671/392000000000000000", + "q_positive": "4616643/1400000000", + "short_record_fallback": "279076671/280000000", + "source_axis_superpolynomial": "1/1400000000", + "sparse_union_movement_above_kappa": "796250005595383357/1960000000000000000", + "stop_below_one": "1399999999/1400000000", + "stop_positive": "1/1400000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000", + "union_tag_work_per_visit_fits_record": "3/1400000000" + } + }, + "paid": { + "1": 41926, + "16": 1768, + "2": 8172, + "24": 416, + "3": 8820, + "32": 416, + "4": 1962, + "40": 312, + "5": 2736, + "56": 208, + "6": 144, + "7": 162, + "8": 18 + }, + "paid_calls": 67060, + "previous_fixed_root": "3297/1000000", + "productive_fields": 13774, + "rank_mass_surplus": 760, + "raw_endpoint_margins": { + "lower": { + "first": { + "lower": "0.000000000000000000000142008392", + "upper": "0.000000000000000000000142008393" + }, + "second": { + "lower": "0.000000000000000000000142008392", + "upper": "0.000000000000000000000142008393" + } + }, + "upper": { + "first": { + "lower": "-0.000000000000000000002147408055", + "upper": "-0.000000000000000000002147408054" + }, + "second": { + "lower": "-0.000000000000000000002147408055", + "upper": "-0.000000000000000000002147408054" + } + } + }, + "raw_headroom": [ + "2134799792561521137/100000000000000000000000000", + "1067399896280760569/50000000000000000000000000" + ], + "raw_root_interval": [ + 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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": "changed", + "actual_scope": "Cut public helper register 607 of the native word at frame 115 and move its tail to a new public register 770, with three compensating ADDs at the start and three at the end, under the PR6551 caller: PR6545 independent retirement and child trees (7,2,5,4). Base: PR6621.", + "scope_change_reason": "The explicit user asks for another complete kappa improvement of any size. The PR6551 caller and trees stay fixed; the native word of PR6621 changes by one compensated cut of a public helper register into two shorter ones.", + "bottleneck_link": "The exact complete signed gain over PR6621 is 18*(H5+H6-H2-H9). Every native, query, idle and ordinary operation remains charged.", + "budget_minutes": 180, + "stop_rule": "Reject any edit that fails the full arbitrary-input identity, physical maps, complete invoice, compiler or outer checks. The user requires a verified improvement before completion.", + "outcome": "completed", + "evidence": "PROOF.md; ROOT.json; CONTROLLER.json; WITNESS.json; RESULT.json; VALIDATION.md", + "author": "DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code", + "ai_assistance": "Claude Opus 5.5 (Anthropic), via Claude Code, in construction, exact arithmetic, verification and writing. Builds on the PR6621 package and the PR6551 package of Ali Romman.", + "open_questions": [ + { + "question": "Can an independent reviewer validate the helper-register cut and the complete invoice delta?", + "why_it_matters": "Author checks do not establish independent scientific acceptance.", + "first_step": "Check the profile delta in PROOF.md, compare BASEWORD.json.gz with WORD.json.gz in the PR6529 layer, then replay the registered package.", + "blocked_by": "Independent review has not occurred." + }, + { + "question": "Can further public helper registers be cut, or the native word rebuilt for the new profile?", + "why_it_matters": "The present result is a small improvement for one fixed construction.", + "first_step": "Supply a full arbitrary-input endpoint and every paid job before claiming a new bound.", + "blocked_by": "This package does not supply a global optimization theorem." + } + ] +} diff --git a/research/p104-common-idle-double-retirement/source6702/VALIDATION.md b/research/p104-common-idle-double-retirement/source6702/VALIDATION.md new file mode 100644 index 0000000000..86ecafad3a --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/VALIDATION.md @@ -0,0 +1,43 @@ +# Validation record + +Environment: CPython 3.12 on macOS, November 3, 2026 (UTC). + +The complete direct generation run, the replays and the registered hook run +from the repository root: + +```sh +python3.12 -I -B research/p104-helper-split-on-retirement-tree/verify.py --write-result +python3.12 -I -B research/p104-helper-split-on-retirement-tree/verify.py +python3.12 -I -O -B research/p104-helper-split-on-retirement-tree/verify.py +python3.12 -B scripts/research_package.py --package research/p104-helper-split-on-retirement-tree +``` + +Marker: `PASS_HELPER_SPLIT_KAPPA_00329760`. Normal and optimized replay both +exit 0 and print it from a fresh copy of the package. The registered hook +(`scripts/research_package.py`) is run from the repository root when the +package is placed there. + +Coverage is that of PR6621, with the native layer replaced by the edited +word: full PR6529 regeneration compared with `BASEWORD.json.gz`, the edited +word's declared public boundaries, its 800 native columns, owned lifetimes, +helper maps and absolute phases, all 7,488 physical contacts, the PR6545 +caller replay, both 1,225-coefficient caller engines, the dual pairs, the +exact complete invoice, both rational price engines, the compiler and all 58 +outer predicates. Every retained source receipt is checked after its +scientific checks. + +The two correction-drop controls and the injection controls run on the +edited word, and each must be rejected. Dropping the first event after the +raw construction is rejected by the row check ("All public and owned rows") +and dropping the final event by the exit check ("All public and owned +exits"), with the same messages as for the PR6621 word. The local profile checks compare the edited word with the +base word and require exactly the deltas in the verifier. The pricing check +requires 67,060 paid jobs and 13,774 productive fields. + +Two verifier literals of the retained sources are changed, as declared in +README.md and PROOF.md: public registers 770 to 771 and owned peak 13 to 14. +The tail decay of the completion test is 33/34. + +Not claimed: hosted CI, independent scientific review, the optional +full-history preflight, formal-kernel verification or a materialized +multiplier. All five source framework assumptions remain. diff --git a/research/p104-common-idle-double-retirement/source6702/VERIFY.json b/research/p104-common-idle-double-retirement/source6702/VERIFY.json new file mode 100644 index 0000000000..754aa34727 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/VERIFY.json @@ -0,0 +1,30 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 590, + "checks": "Complete native source and PR6545 regeneration, all 800 native columns and phases, both 1225-coefficient new caller engines, fixed dual pairs, all physical maps, exact invoice delta, two rational prices, compiler and all outer predicates." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 590, + "checks": "Complete native source and PR6545 regeneration, all 800 native columns and phases, both 1225-coefficient new caller engines, fixed dual pairs, all physical maps, exact invoice delta, two rational prices, compiler and all outer predicates." + } + ] +} diff --git a/research/p104-common-idle-double-retirement/source6702/WITNESS.json b/research/p104-common-idle-double-retirement/source6702/WITNESS.json new file mode 100644 index 0000000000..be22af6322 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/WITNESS.json @@ -0,0 +1,104 @@ +{ + "cut_after": 328, + "handoff_after": 344, + "pivot": 4, + "fresh": 34, + "boundary": [ + [ + "SCALE", + 4, + "-1" + ], + [ + "LAMBDA", + 4, + -1 + ], + [ + "ADD", + 21, + 4, + "1" + ], + [ + "LAMBDA", + 4, + 1 + ], + [ + "ADD", + 4, + 20, + "1" + ] + ], + "middle": [ + [ + "ADD", + 4, + 2, + "1" + ], + [ + "ADD", + 2, + 4, + "-1" + ], + [ + "ADD", + 4, + 2, + "1" + ], + [ + "SCALE", + 2, + "-1" + ], + [ + "SCALE", + 4, + "-1" + ], + [ + "ADD", + 21, + 4, + "1" + ], + [ + "ADD", + 4, + 1, + "1" + ], + [ + "LAMBDA", + 20, + 1 + ], + [ + "ADD", + 4, + 20, + "-1" + ], + [ + "LAMBDA", + 20, + -1 + ], + [ + "ADD", + 4, + 21, + "1" + ] + ], + "group": [ + 4, + 20, + 21 + ] +} diff --git a/research/p104-common-idle-double-retirement/source6702/invoice.py b/research/p104-common-idle-double-retirement/source6702/invoice.py new file mode 100644 index 0000000000..86ce75eb55 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/invoice.py @@ -0,0 +1,48 @@ +"""Price the fixed (7,2,5,4) tree before its Gaussian retirement. + +The binary supplier and mixed root are from PR6348 and PR6398. The +independent retirement is from PR6545. All source authors keep their credit. +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from collections import Counter + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def formula_invoice(local): + targets = Counter({r: 18*n for r, n in local['helpers'].items()}) + paid = Counter({r: 18*n for r, n in local['paid'].items()}) + paid[1] += 17*104 + # The four trees have fourteen internal nodes. + for size, count in {2: 8, 3: 2, 4: 2, 5: 1, 7: 1}.items(): + targets[1+8*size] += 208*count + paid[8*size] += 208*count + for rank, count in {145: 1, 73: 2, 1: 1, 17: 1, 41: 1}.items(): + targets[rank] += 104*count + paid[16] += 104 + paid[40] += 104 + return targets, paid + + +def difference(after, before): + out = Counter({int(k): v for k, v in after.items()}) + out.subtract({int(k): v for k, v in before.items()}) + return {rank: count for rank, count in out.items() if count} + + +def compare(after, before): + targets = difference(after['targets'], before['targets']) + paid = difference(after['paid'], before['paid']) + need(targets == {16: -104, 40: 104, 41: 208, 57: -208}, + 'Complete productive change from PR6545') + need(paid == {16: -104, 40: 312, 56: -208}, + 'Complete paid change from PR6545') + signed = difference(targets, paid) + need(signed == {40: -208, 41: 208, 56: 208, 57: -208}, + 'Exact two-interval concave difference') + return {'targets': targets, 'paid': paid, 'signed': signed, + 'gain_formula': '208*(H41-H40-H57+H56)', + 'rank_mass_change': sum(r*n for r, n in targets.items())} diff --git a/research/p104-common-idle-double-retirement/source6702/pricing.py b/research/p104-common-idle-double-retirement/source6702/pricing.py new file mode 100644 index 0000000000..6c2eb8b2da --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/pricing.py @@ -0,0 +1,189 @@ +"""Check the complete mixed-projector-root invoice and outer transfer. + +The interval and compiler bounds are by zxv and Cao Yifan. The productive +recursion is by Jacob Alan Sussman. The source price adapter is by Ali Romman. +The source lifts and tree invoice are by Ali Romman, with OpenAI Codex +assistance. This adapter keeps the native word and the retirement identity. +It includes all nine output contractions and their productive target debits. +This adaptation prices the native word with one public helper register cut in two. +The original sources retain their credit. Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +from tree_invoice import formula_invoice, need + +KAPPA = Q('0.00329760') +TESTED = Q('0.003297605') +PREVIOUS = Q('0.00329700') + + +def encode(value): + if isinstance(value, Q): + return str(value) + if isinstance(value, dict): + return {str(k): encode(v) for k, v in value.items()} + if isinstance(value, (tuple, list)): + return [encode(v) for v in value] + return value + + +def assemble(local, native, word, physical): + paid, targets = Counter(), Counter() + counts = Counter(e[0] for e in word['events']) + need(local['helpers'] == native['helpers'], 'All source helper targets have native maps') + idle = Counter() + for event in word['events']: + if event[0] == 'LOCAL': + paid.update(local['paid']) + targets.update(local['helpers']) + elif event[0] == 'QUERY': + paid[1] += 104 + elif event[0] in ('IDLE', 'IDLE_ONE'): + rank = 8*len(event[3] if event[0] == 'IDLE' else event[2]) + count = 208 if event[0] == 'IDLE' else 104 + paid[rank] += count + idle[rank] += count + main = Counter() + for term in word['diagonal']: + main[int(term[0] % 2)+8*sum(term[1:])] += 104 + targets.update(main) + need(main == physical['main_targets'], 'All main target phases and ranks') + need(idle == physical['whole_idle_jobs'], 'All paired and individual whole idle jobs') + expected_targets, expected_paid = formula_invoice(local) + expected_targets.update({1:104,40:104,41:-104}) + need((targets, paid) == (expected_targets, expected_paid), 'Independent rebalanced tree, retirement delta and emitted-event counts') + need((counts['LOCAL'], counts['QUERY'], counts['IDLE']) == (18, 17, 14) and counts['IDLE_ONE'] == 2 and counts['LAMBDA'] == 34, 'Complete caller census') + need((sum(targets.values()), sum(paid.values())) == (13774, 67060), 'All independent fields and paid calls') + need(sum(r*n for r, n in targets.items())-sum(r*n for r, n in paid.items()) == 760, 'Complete rank-mass surplus') + need((max(targets), max(paid)) == (145, 56), 'Maximum target and paid ranks') + return targets, paid, counts + + +def run(local, native, word, physical, L): + T, P, counts = assemble(local, native, word, physical) + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py', 'balanced_intervals') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py', 'balanced_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] + from root_interval import construct + bracket, _ = construct(E, T, P) + lower, upper = Q(bracket['lower'], bracket['grid']), Q(bracket['upper'], bracket['grid']) + signed = Counter(T) + signed.subtract(P) + cap, derivative_upper = Q('.0034'), Q(0) + for rank, count in signed.items(): + logarithm = E.log_bounds(rank) + a = E.mul(E.power(rank, 1-cap), logarithm)[0] + b = rank*logarithm[1] + derivative_upper -= count*(a if count >= 0 else b) + need(derivative_upper < 0, 'Unique raw crossing below the BIT cap') + need(margin(lower)[0] > 0 and margin(upper)[1] < 0, 'Strict rational crossing enclosure') + endpoints = {} + for label, k in [('lower', lower), ('upper', upper)]: + tl, th = other.moment(T, k) + pl, ph = other.moment(P, k) + second = (tl-ph, th-pl) + first = margin(k) + need(max(first[0], second[0]) <= min(first[1], second[1]), + 'Both rational engines agree at the raw endpoint') + need(second[0] > 0 if label == 'lower' else second[1] < 0, + 'The second engine certifies both raw endpoint signs') + endpoints[label] = {'first': E.display(first), 'second': E.display(second)} + need(PREVIOUS < KAPPA < TESTED < lower, 'The claim and tested saving are below the raw crossing') + t, offset, power, cutoff, floor = 1-TESTED, Q(1, 7), 1920, 12, 13 + target, paid = E.moment(T, t), E.moment(P, t) + tl, th = other.moment(T, TESTED) + pl, ph = other.moment(P, TESTED) + need(tl > ph and max(tl, target[0]) <= min(th, target[1]) + and max(pl, paid[0]) <= min(ph, paid[1]), 'Two independent rational moment engines') + alpha = E.divide(paid, target) + gamma = E.divide(E.moment(P, t+offset), E.mul(E.power(cutoff, offset), target)) + delta = E.divide((Q(sum(T.values())*floor),)*2, E.mul(E.power(cutoff, TESTED), target)) + reserve, decay = Q(1, 10**27), Q(33, 34) + need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All charged tail ratios') + need(delta[0] > Q(31, 32), 'The source tail decay does not fund this tree') + need(power % 128 == 0 and decay**128 < Q(1, 16), 'The previous block estimate applies') + coarse_tail = 4*Q(1, 16)**(power//128) + need(1/(1+power*reserve)+coarse_tail > 1, 'The coarse tail bound cannot fund this claim') + exact_tail = 4*decay**power + normalized = 1/(1+power*reserve)+exact_tail + need(normalized < 1 and cutoff**64 < floor**63, 'Completion, splitting and rounding') + theta, logarithm_power = Q(63, 64), 2100 + # Keep each exponential inside the retained engine's proved domain. + half = E.power(145, Q(power, 2)*TESTED) + factor = E.mul(half, half) + eta = E.scale(E.divide((Q(1), Q(1)), factor), t) + need(2*(cutoff**power)**64 <= (145**power)**63 + and eta[0] > theta**logarithm_power, 'Shifted exits and complement capacity') + need(factor[1] < 2**logarithm_power, 'Compiler initial range') + gap = (TESTED-KAPPA)/7 + need(gap.numerator == 1, 'Exact compiler integer grid') + step = gap.denominator + def wins(j): + return (step*j+1)**logarithm_power < 2**j + left, right = 1, 2 + while not wins(right): + left, right = right, 2*right + while right-left > 1: + middle = (left+right)//2 + if wins(middle): + right = middle + else: + left = middle + H = step*right + need(H > 8*power and wins(right) and not wins(right-1), 'Uniform threshold and adjacent-grid rejection') + local_routes = (sum(local['paid'].values())+native['helper_normalizers'] + +native['main_adapters']+4*104+4*local['owned_lifetimes'])*1000 + need(local['real_scalar_allowance']+local_routes < 10**7, 'Every local ordinary operation is funded') + raw = 18*10**7 + 17*1664 + 32*35*104*len(word['events']) + 35*104*(26+1000) + need(all(abs(Q(e[-1])) <= 16 for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted scalar coefficient has the declared growth bound') + need(all(Q(e[-1]).denominator & (Q(e[-1]).denominator-1) == 0 + for e in word['events'] if e[0] in ('ADD', 'SCALE')), + 'Every emitted rational scalar is dyadic') + need(raw < 10**9, 'Complete ordinary-work budget') + 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']) + 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', 'balanced_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) + need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Full outer predicate inventory') + need(all(x > 0 for key in ('strict_checks', 'functional_checks') for x in outer[key].values()), 'Every outer inequality is strict') + old_completion = E.divide((Q(sum(T.values())*17),)*2, E.mul(E.power(16, TESTED), target)) + need(old_completion[0] > 1, 'The old completion cutoff does not fund the new inventory') + bad = outer_module.ledger(dict(params, bit_saving=Q('.0027'))) + need(any(x <= 0 for x in bad['strict_checks'].values()), 'Insufficient BIT saving rejected') + return encode({'kappa': KAPPA, 'kappa_decimal': '0.00329760', 'previous_fixed_root': PREVIOUS, + 'refinement_kind': 'Cut one public helper register of the native word in two and hand its tail to a new public register, under the rebalanced retirement caller.', + 'gain': KAPPA-PREVIOUS, 'relative_gain_percent': 100*(KAPPA/PREVIOUS-1), + 'raw_root_interval': [lower, upper], 'raw_headroom': [lower-KAPPA, upper-KAPPA], + 'raw_endpoint_margins': endpoints, + '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, 'thin_queries': 17, + 'whole_idle_jobs': 3120, 'strictification': { + 'tested': TESTED, 'power': power, 'cutoff': cutoff, 'floor': floor, + 'tail_offset': offset, 'reserve': reserve, 'tail_decay': decay, + 'exact_tail_upper': exact_tail, 'coarse_tail_upper': coarse_tail, + 'alpha': E.display(alpha), 'gamma': E.display(gamma), 'delta': E.display(delta), + 'normalized_paid_upper': normalized}, + 'compiler': {'theta': theta, 'logarithm_power': logarithm_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'], + 'scalar_growth_bound': 'At most 2^(10^9 + R*f), where R is the full paid rank mass.', + 'paid_rank_mass': sum(r*n for r, n in P.items())}, + 'ordinary_BIT': bit, 'outer': outer, + 'negative_controls': {'old_tail_decay': 'The source tail decay 31/32 is below the new completion ratio.', + 'old_completion': 'Cutoff16 and floor17 give a ratio above one.', + 'old_BIT': 'An outer inequality fails at BIT saving0.0027.', + 'coarse_tail': 'The block tail bound cannot fund this near-limit claim.'}}) diff --git a/research/p104-common-idle-double-retirement/source6702/source.tar b/research/p104-common-idle-double-retirement/source6702/source.tar new file mode 100644 index 0000000000..80fd2423e2 Binary files /dev/null and b/research/p104-common-idle-double-retirement/source6702/source.tar differ diff --git a/research/p104-common-idle-double-retirement/source6702/verify.py b/research/p104-common-idle-double-retirement/source6702/verify.py new file mode 100644 index 0000000000..3e180baa60 --- /dev/null +++ b/research/p104-common-idle-double-retirement/source6702/verify.py @@ -0,0 +1,201 @@ +"""Replay the retained source, the helper-split native word and the rebalanced retirement caller. + +The archive checks and explicit extension use the PR6545 verifier. Native, +caller, phase, interval and compiler sources keep their original credit. +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from collections import Counter +from copy import deepcopy +from hashlib import sha1, sha256 +from pathlib import Path, PurePosixPath +import importlib.util +import json +import sys +import tarfile +import tempfile + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +STATUS = 'PASS_HELPER_SPLIT_KAPPA_00329760' + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(path): + return json.loads(Path(path).read_bytes()) + + +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 + + +def reject(action): + try: + action() + except ValueError as error: + return str(error) + raise ValueError('Invalid candidate accepted') + + +def unpack(record, root): + archive = HERE/record['archive'] + need(sha256(archive.read_bytes()).hexdigest() == record['archive_sha256'], + 'Exact retained archive') + pins = {p['path']: p for p in record['files']} + seen = set() + with tarfile.open(archive, 'r:') as tar: + for member in tar.getmembers(): + path = PurePosixPath(member.name) + need(member.isfile() and not path.is_absolute() and '..' not in path.parts + and member.name in pins and member.name not in seen, + 'Declared regular source member') + seen.add(member.name) + data = tar.extractfile(member).read() + pin = pins[member.name] + need(sha256(data).hexdigest() == pin['sha256'] and + sha1(b'blob '+str(len(data)).encode()+b'\0'+data).hexdigest() == pin['git_blob'], + 'Exact source SHA256 and Git blob') + target = root/member.name + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes(data) + need(seen == set(pins), 'Complete retained inventory') + + +def adapted(source, kind): + text = source.read_text() + for before, after in read(HERE/'ADAPTERS.json')[kind]: + need(text.count(before) == 1, 'Unique declared '+kind+' edit') + text = text.replace(before, after) + return text + + +class Extension: + def __init__(self, source_candidate, source, temporary, write): + self.source_candidate = source_candidate + self.source = source + self.temporary = temporary + self.write = write + + def run(self, native_word, old_caller, local, native, L): + # The source runs all its checks and compares its frozen caller receipt. + source_result = self.source_candidate.run(native_word, old_caller, local, native, L) + controller = sys.modules['controller'] + original = Path(controller.__file__) + constructor_path = self.temporary/'tree_constructor.py' + constructor_path.write_text(adapted(original, 'controller')) + constructor = load(constructor_path, 'tree_constructor') + data = read(HERE/'ROOT.json') + original_data = read(original.with_name('ROOT.json')) + need({k: v for k, v in data.items() if k not in ('children', 'child_sizes')} == + {k: v for k, v in original_data.items() if k not in ('children', 'child_sizes')}, + 'Only the child trees and their size declaration change') + need(data['child_sizes'] == [7, 2, 5, 4], 'Declared child allocation') + base = constructor.construct(data) + controller.replay(base) + need(base['events'][:329] == old_caller['events'][:329], + 'The complete source prefix through the retirement cut is unchanged') + sizes = Counter(len(node['stages']) for node in base['nodes']) + need(sizes == {2: 8, 3: 2, 4: 2, 5: 1, 7: 1}, 'Every binary supplier size') + make = load(self.source/'retirement.py', 'tree_retirement') + checks = load(self.source/'check_caller.py', 'tree_independent') + word, witness = make.construct(base) + forward = controller.replay(word) + reverse = checks.transpose(word) + pair = checks.dual_pair(base, make.G, make.J) + controls = controller.controls(word) + for label, index in [('boundary', 0), ('cut', witness['handoff_after']), + ('return', len(word['events'])-1)]: + bad = deepcopy(word) + del bad['events'][index] + controls['missing_'+label] = reject(lambda bad=bad: controller.replay(bad)) + bad = deepcopy(word) + bad['diagonal'][-1][0] = -1 + controls['unearned_central_target'] = reject(lambda: checks.transpose(bad)) + bad = deepcopy(word) + bad['events'][witness['handoff_after']][-1] = '-1' + controls['wrong_cut_sign'] = reject(lambda: controller.replay(bad)) + + def jobs(caller): + return [(e[0], e[1] if e[0] == 'LOCAL' else e[3] if e[0] == 'QUERY' else + tuple(e[3] if e[0] == 'IDLE' else e[2])) + for e in caller['events'] if e[0] in ('LOCAL', 'QUERY', 'IDLE', 'IDLE_ONE')] + + need(jobs(base) == jobs(word), 'Retirement keeps every rebalanced paid job') + physical = load(self.source/'physical.py', 'tree_physical').physical(word, native_word, L) + invoice = load(HERE/'invoice.py', 'tree_invoice') + need(adapted(self.source/'pricing.py', 'pricing') == (HERE/'pricing.py').read_text(), + 'Every price edit is declared') + price = load(HERE/'pricing.py', 'tree_price') + bound = price.run(local, native, word, physical, L) + changes = invoice.compare(bound, source_result['complete_cost']) + old_T = {int(k): v for k, v in source_result['complete_cost']['targets'].items()} + old_P = {int(k): v for k, v in source_result['complete_cost']['paid'].items()} + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py', 'tree_comparison') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py', 'tree_second_comparison') + first = E.moment(old_T, 1-price.KAPPA), E.moment(old_P, 1-price.KAPPA) + tl, th = other.moment(old_T, price.KAPPA) + pl, ph = other.moment(old_P, price.KAPPA) + need(first[0][1] < first[1][0] and th < pl, + 'Both rational engines reject PR6545 at the new claim') + bad = deepcopy(local) + bad['paid'][1] -= 1 + controls['unpaid_native_job'] = reject(lambda: price.assemble(bad, native, word, physical)) + bad = deepcopy(physical) + bad['main_targets'][1] += 104 + controls['extra_gaussian_credit'] = reject(lambda: price.assemble(local, native, word, bad)) + for name, value in [('CONTROLLER.json', word), ('WITNESS.json', witness)]: + if self.write: + (HERE/name).write_text(json.dumps(value, indent=2)+'\n') + else: + need(value == read(HERE/name), 'Exact '+name) + print('PASS rebalanced caller, independent reverse rows, dual pairs, physical maps and complete price', flush=True) + candidate = price.encode(dict(caller=forward, reverse=reverse, dual_pair=pair, + child_sizes=data['child_sizes'], internal_node_sizes=dict(sizes), + physical=physical, complete_cost=bound, changes=changes, controls=controls, + source_margin_first=E.display((first[0][0]-first[1][1], first[0][1]-first[1][0])), + source_margin_second=E.display((tl-ph, th-pl)))) + return {'source': source_result, 'candidate': candidate} + + +def run(write=False): + with tempfile.TemporaryDirectory(prefix='helper-split-') as directory: + root = Path(directory) + old_cache = sys.pycache_prefix + sys.pycache_prefix = str(root/'bytecode') + try: + pins = read(HERE/'RETAINED.json') + unpack(pins, root) + source = root/'research/gaussian-root-retirement' + # The two edits add one explicit extension parameter. They do not + # remove or alter a source check, price, receipt or archive. + driver_path = source/'tree_extension_driver.py' + driver_path.write_text(adapted(source/'verify.py', 'driver')) + driver = load(driver_path, 'tree_source_driver') + result = driver.run(extension=lambda candidate: Extension(candidate, source, root, write)) + candidate = result['candidate']['candidate'] + result['candidate'] = result['candidate']['source'] + need(result == read(source/'RESULT.json'), 'Every PR6545 result and control is unchanged') + return {'status': STATUS, 'source_head': pins['source_head'], + 'source_result_sha256': sha256((source/'RESULT.json').read_bytes()).hexdigest(), + 'candidate': candidate, 'assumptions': result['assumptions'], + 'selected_frontier_changed': False} + finally: + sys.pycache_prefix = old_cache + + +if __name__ == '__main__': + need(sys.argv[1:] in ([], ['--write-result']), 'Only --write-result is supported') + write = bool(sys.argv[1:]) + result = run(write) + if write: + (HERE/'RESULT.json').write_text(json.dumps(result, sort_keys=True, indent=2)+'\n') + else: + need(result == read(HERE/'RESULT.json'), 'Exact complete scientific receipt') + print(STATUS, flush=True) diff --git a/research/p104-common-idle-double-retirement/validation/normal.log b/research/p104-common-idle-double-retirement/validation/normal.log new file mode 100644 index 0000000000..4805661dcb --- /dev/null +++ b/research/p104-common-idle-double-retirement/validation/normal.log @@ -0,0 +1,12 @@ +PASS stacked rebuild, local deltas, inventory, zero scratch and third-anchor controls +PASS exact source rebuild, changed scalar word, lifetimes, zero cache and construction controls +PASS all 800 columns and complete mixed caller +PASS native maps with absolute phases and all 7488 physical contacts +PASS both exact prices, complete compiler and outer inequalities, and strict source comparison +PASS independent caller, dual pair, native phases, complete price, compiler and outer predicates +PASS rebalanced caller, independent reverse rows, dual pairs, physical maps and complete price +PASS changed 35-input caller, both coefficient engines, fresh dual pairs, all 7488 physical contacts, complete price and outer transfer +PASS_CONDITIONAL_KAPPA_00330420_COMMON_IDLE_RETIREMENT +real 105.73 +user 103.47 +sys 1.20 diff --git a/research/p104-common-idle-double-retirement/validation/optimized.log b/research/p104-common-idle-double-retirement/validation/optimized.log new file mode 100644 index 0000000000..79e0b2baca --- /dev/null +++ b/research/p104-common-idle-double-retirement/validation/optimized.log @@ -0,0 +1,12 @@ +PASS stacked rebuild, local deltas, inventory, zero scratch and third-anchor controls +PASS exact source rebuild, changed scalar word, lifetimes, zero cache and construction controls +PASS all 800 columns and complete mixed caller +PASS native maps with absolute phases and all 7488 physical contacts +PASS both exact prices, complete compiler and outer inequalities, and strict source comparison +PASS independent caller, dual pair, native phases, complete price, compiler and outer predicates +PASS rebalanced caller, independent reverse rows, dual pairs, physical maps and complete price +PASS changed 35-input caller, both coefficient engines, fresh dual pairs, all 7488 physical contacts, complete price and outer transfer +PASS_CONDITIONAL_KAPPA_00330420_COMMON_IDLE_RETIREMENT +real 108.31 +user 104.42 +sys 1.35 diff --git a/research/p104-common-idle-double-retirement/verify.py b/research/p104-common-idle-double-retirement/verify.py new file mode 100644 index 0000000000..5bea3501de --- /dev/null +++ b/research/p104-common-idle-double-retirement/verify.py @@ -0,0 +1,126 @@ +"""Complete unchanged source replay plus the new common-idle/fresh caller. + +The hook below observes the end of the original PR6702 Extension.run. It +returns that original value unchanged. Every original source check, control +and saved receipt still runs. The new caller, physical maps, full invoice, +precision/storage envelope and outer transfer are checked separately. +""" +from collections import Counter +from copy import deepcopy +from hashlib import sha256,sha1 +from pathlib import Path +import importlib.util +import json +import sys +import tempfile +sys.dont_write_bytecode=True +HERE=Path(__file__).resolve().parent +STATUS='PASS_CONDITIONAL_KAPPA_00330420_COMMON_IDLE_RETIREMENT' + +def need(ok,message): + if not ok:raise ValueError(message) +def read(path):return json.loads(Path(path).read_bytes()) +def load(path,name): + spec=importlib.util.spec_from_file_location(name,path);m=importlib.util.module_from_spec(spec) + sys.modules[name]=m;spec.loader.exec_module(m);return m +def encode(x): + from fractions import Fraction + if isinstance(x,Fraction):return str(x) + if isinstance(x,dict):return {str(k):encode(v)for k,v in x.items()} + if isinstance(x,(tuple,list)):return [encode(v)for v in x] + return x +def reject(action): + try:action() + except ValueError as e:return str(e) + raise ValueError('Invalid control accepted') + +def authenticate(): + pins=read(HERE/'SOURCE6702.json');actual=[] + for pin in pins['files']: + p=Path(pin['path']);need(not p.is_absolute()and'..'not in p.parts,'Local source path') + raw=(HERE/p).read_bytes() + need(sha256(raw).hexdigest()==pin['sha256']and + sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest()==pin['git_blob'], + 'Exact PR6702 source bytes: '+str(p)) + actual.append(str(p)) + need(len(actual)==17 and set(actual)=={'source6702/'+p.name for p in(HERE/'source6702').iterdir()if p.is_file()}, + 'Complete immutable top-level predecessor inventory') + return pins + +def candidate(native_word,local,native,L,source): + # Load all new modules under private names; coefficient and independent-row + # helpers retain their source names only after predecessor execution ends. + load(HERE/'algebra.py','algebra');load(HERE/'rows.py','rows') + C=load(HERE/'caller.py','new_root8_caller');R=load(HERE/'retirement.py','new_root8_retirement') + D=load(HERE/'dual.py','new_root8_dual');S=load(HERE/'scalars.py','scalars') + roots=load(HERE/'root_check.py','new_root8_root_check').verify(read(HERE/'ROOT.json')) + base=C.construct();need(base==read(HERE/'CONTROLLER-UNRETIRED.json'),'Exact unretired constructor') + C.replay(base);pair=D.verify(base,R.G,R.J) + word,witness=R.construct(base) + need(word==read(HERE/'CONTROLLER.json')and witness==read(HERE/'WITNESS.json'),'Exact changed caller and handoff') + forward=C.replay(word);reverse=sys.modules['rows'].transpose(word);scalar=S.verify(word) + controls=C.controls(word) + for label,index in [('input_basis',0),('handoff',witness['handoff_after']),('return',len(word['events'])-1)]: + bad=deepcopy(word);del bad['events'][index] + controls['missing_'+label]=reject(lambda bad=bad:C.replay(bad)) + bad=deepcopy(word);bad['diagonal'][-1][0]=-1 + controls['unearned_fresh_central_target']=reject(lambda:sys.modules['rows'].transpose(bad)) + bad=deepcopy(word) + fused=next(e for e in bad['events']if e[0]=='IDLE'and e[1:3]==[2,3]) + fused[-1]=fused[-1][:-1]+[fused[-1][0]] + controls['repeated_fused_axis']=reject(lambda:C.replay(bad)) + def jobs(w): + return [(e[0],e[1]if e[0]=='LOCAL'else e[3]if e[0]=='QUERY'else tuple(e[3]if e[0]=='IDLE'else e[2])) + for e in w['events']if e[0]in('LOCAL','QUERY','IDLE','IDLE_ONE')] + need(jobs(base)==jobs(word),'Fresh-input retirement preserves every paid job') + slots={'ADD':(1,2),'SWAP':(1,2),'SCALE':(1,),'LAMBDA':(1,),'Q_POWER':(1,), + 'QUERY':(1,2),'LOCAL':(2,3),'IDLE':(1,2),'IDLE_ONE':(1,)} + need(all(e[j]!=34 for e in word['events'][:witness['handoff_after']+1]for j in slots[e[0]]), + 'New independent field is absent before the handoff') + physical=load(source/'physical.py','new_root8_physical').physical(word,native_word,L) + need((physical['ports'],physical['full_calls'],physical['physical_contacts'],physical['ordinary_normalizations'])== + (104,18,7488,110),'Fresh full physical contact inventory') + price=load(HERE/'pricing.py','new_root8_price') + bound=price.run(local,native,word,physical,L) + previous=read(HERE/'source6702/RESULT.json')['candidate']['complete_cost'] + changes=load(HERE/'changes.py','new_root8_changes').verify(bound,previous) + bad=deepcopy(local);bad['paid'][1]-=1 + controls['unpaid_native_job']=reject(lambda:price.assemble(bad,native,word,physical)) + bad=deepcopy(physical);bad['main_targets'][1]+=104 + controls['extra_productive_credit']=reject(lambda:price.assemble(local,native,word,bad)) + print('PASS changed 35-input caller, both coefficient engines, fresh dual pairs, all 7488 physical contacts, complete price and outer transfer',flush=True) + return encode({'root':roots,'caller':forward,'reverse':reverse,'dual_pair':pair,'physical':physical, + 'scalar_envelope':scalar,'complete_cost':bound,'changes':changes,'controls':controls, + 'native_unchanged':{'public_inputs':local['public_inputs'],'owned_fields':local['owned_fields'], + 'owned_lifetimes':local['owned_lifetimes'],'peak_owned_fields':local['peak_owned_fields'], + 'all_columns':800,'native_program_events':len(native_word['program'])}}) + +def run(): + pins=authenticate();captured={} + with tempfile.TemporaryDirectory(prefix='root8-replay-')as td: + old_cache=sys.pycache_prefix;sys.pycache_prefix=str(Path(td)/'bytecode') + try: + source=load(HERE/'source6702/verify.py','root8_unchanged_6702_verifier') + original=source.Extension.run + def observed(self,native_word,old_caller,local,native,L): + result=original(self,native_word,old_caller,local,native,L) + need(not captured,'Single final predecessor observation') + captured.update(candidate(native_word,local,native,L,self.source)) + return result + source.Extension.run=observed + retained=source.run(write=False) + need(retained==read(HERE/'source6702/RESULT.json'),'Exact complete PR6702 receipt remains unchanged') + need(captured,'The full source reached its declared native/caller boundary') + return {'status':STATUS,'kappa':'16521/5000000','kappa_decimal':'0.00330420', + 'source_head':pins['source_head'],'source_pr':6702, + 'retained_source_result_sha256':sha256((HERE/'source6702/RESULT.json').read_bytes()).hexdigest(), + 'candidate':captured,'assumptions':retained['assumptions'],'selected_frontier_changed':False, + 'scope':'Conditional changed complete caller and full replay. Independent scientific admission, full quantified framework premises and a materialized multiplier remain outside this receipt.'} + finally:sys.pycache_prefix=old_cache + +if __name__=='__main__': + need(sys.argv[1:]in([],['--write-result']),'Only explicit --write-result is supported') + r=run() + if sys.argv[1:]: (HERE/'RESULT.json').write_text(json.dumps(r,indent=2,sort_keys=True)+'\n') + else:need(r==read(HERE/'RESULT.json'),'Exact new complete result') + print(STATUS,flush=True) diff --git a/research/p104-native-semantic-review/README.md b/research/p104-native-semantic-review/README.md new file mode 100644 index 0000000000..b8356da070 --- /dev/null +++ b/research/p104-native-semantic-review/README.md @@ -0,0 +1,61 @@ +# Exact native application review for PR6716 + +This companion supports the existing conditional **κ=0.00330420** submission. +It reviews the actual unchanged PR6702 native word consumed by PR6716 at +`17c08db090004c1fb54220a6d8463a5095789fa9`, against the exact selected PR6030 +source at `7c49fe32c55de02c2c873655c804b16e4c3fef0a`. It changes no caller, +native word, invoice, selected result or framework assumption. + +The exact comparison finds 3,145 matched current typed tasks and **39 truly +unmatched operators**, rather than inferring novelty from the 2,939 versus +2,922 internal frame-pair counts. All **3,184 actual current compiler tasks** +receive complete signed-Pauli and exact zero-column checks, including global +phase and paid rank. The 39 unmatched operators and five full helper +normalizations additionally receive all 512 matrix columns. A separate +retained interpreter checks the complete current **18,577-event, 800-row** +scalar/ownership word, including all 771 arbitrary public inputs. + +[evidence/PROOF.md](evidence/PROOF.md) states the exact signature lemma and +existing common-chart tensor argument, preserving exterior scalars and +arbitrary correlated inputs. [evidence/COVERAGE.md](evidence/COVERAGE.md) +delimits the obligations. The five inherited assumptions remain explicit; +this is AI-assisted author-side application evidence, not external scientific +admission, a new generic lifting theorem or a new κ. + +## Reproduce + +Python3.12, standard library only: + +```sh +python3.12 -B scripts/research_package.py --package research/p104-native-semantic-review +``` + +Or run `python3.12 -I -B verify.py` and `python3.12 -I -O -B verify.py` +from this companion. Both commands verify the exact evidence seal before +recomputing the scientific receipts. They are read-only and work in a +Git-free export, without network or an executable PATH. The two declared +590-second allowances total 1180 seconds and do not change the existing +caller package's six commands or its 1200-second budget. + +The optional `evidence/source_custody.py --repo /absolute/checkout` checks +the direct Git pins and actual nested compiler-container custody without +executing archive code. The default replay needs only retained local files. +The sealed evidence remains byte-identical to its original reviewed copy; +root TASK/SOURCES/VERIFY and this driver provide repository registration. +See [evidence/README.md](evidence/README.md) for the detailed source boundary. + +## Open next questions + +- Independently review this native delta and PR6716's existing caller + application for conditional scientific admission under the selected6030 + standard. Maintainer adoption remains pending. +- Prove an actual remaining quantified production, layout, compiler, + precision or analytic interface. This finite source review does not + discharge the five framework assumptions. + +Credit: DreamingOfClouds and the selected PR6030 repair; Matarener's retained +independent scalar/inventory interpreter; Clear1nsight's exact dense checker; +Charles Bethin and the Clifford lineage; Ali Romman's actual current prefix +compiler and PR6702 lineage. Original notices and bytes are preserved in +`evidence/`. New source-bound orchestration and review were prepared for +thu-nmrc with substantial OpenAI Codex assistance. 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All scientific runtime files are bundled in this companion. No nested lineage label is asserted as direct old-tree ownership.", + "evidence_manifest_sha256": "c28d3d65937371528f1b0c1f741419b2cb531f765bfb10264da180d68ecf846d" +} diff --git a/research/p104-native-semantic-review/TASK.json b/research/p104-native-semantic-review/TASK.json new file mode 100644 index 0000000000..c58ab97b9e --- /dev/null +++ b/research/p104-native-semantic-review/TASK.json @@ -0,0 +1,123 @@ +{ + "schema_version": 1, + "task_id": "p104-side-correction", + "priority_revision": 8, + "base_commit": "7c49fe32c55de02c2c873655c804b16e4c3fef0a", + "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": "changed", + "actual_scope": "Source-bound independent semantic review of the unchanged current PR6702 native word consumed by PR6716, against the exact selected PR6030 word; actual current recipes, unmatched full matrices and complete current scalar endpoints.", + "scope_change_reason": "Continuing explicit user objective prioritizes formal scientific adoption. The caller already has a separate application supplement; this companion addresses the exact remaining native-lineage difference without another frontier claim or historical full-suite rerun.", + "selection_method": "Continuing assigned contribution, no task reroll.", + "bottleneck_link": "A frontier candidate needs evidence for the actual emitted native recipes, including absolute phases, helpers and arbitrary-input endpoints. Inventory count differences and expected-map reuse alone do not establish that application.", + "stop_rule": "Reject source drift, missing typed tasks, unsigned-only equality, phase/rank or full-helper mismatch, invalid ownership or any changed endpoint. Do not infer external admission or assumption discharge from author-side checks.", + "outcome": "completed", + "evidence": "evidence/PROOF.md; evidence/COVERAGE.md; evidence/COMPARISON.json; evidence/SIGNATURES.json; evidence/DENSE.json; evidence/SCALAR.json; evidence/RESULT.json; evidence/SOURCE-CUSTODY.json; exact evidence/FILES.json.", + "author": "thu-nmrc", + "ai_assistance": "Substantial OpenAI Codex assistance, including separate implementation, mathematical/source/coverage peer review and packaging. All evidence is author-side; no external scientific review is implied.", + "open_questions": [ + { + "question": "Does this exact native application delta, together with PR6716 caller evidence, meet the selected PR6030 conditional scientific admission standard?", + "why_it_matters": "Scientific incorporation is distinct from archival retention and CI success.", + "first_step": "Review evidence/PROOF.md and COVERAGE.md, exact source custody, all-current recipe signatures, unmatched complete matrices and current scalar endpoints; then replay the registered companion.", + "blocked_by": "External scientific review and maintainer admission remain pending." + }, + { + "question": "Can the retained global implementation and recursive production interfaces be proved at their full quantified scope?", + "why_it_matters": "This source-bound evidence does not prove an unconditional multiplication theorem.", + "first_step": "Choose one actual all-size physical production, allocator, compiler, precision or analytic obligation and bind its complete source and cost.", + "blocked_by": "The five framework assumptions remain explicitly retained." + } + ] +} diff --git a/research/p104-native-semantic-review/VERIFY.json b/research/p104-native-semantic-review/VERIFY.json new file mode 100644 index 0000000000..79f4e0cd29 --- /dev/null +++ b/research/p104-native-semantic-review/VERIFY.json @@ -0,0 +1,30 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 590, + "checks": "Exact sealed payload and source-copy authentication; full signed-Pauli plus complete exact zero-column signatures for all3184 actual current typed compiler tasks; all512 columns of39 unmatched maps and five complete helper normalizations; independent18577-event/800-row scalar and ownership replay. No historical full suite, new kappa, framework discharge or external admission." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 590, + "checks": "Exact sealed payload and source-copy authentication; full signed-Pauli plus complete exact zero-column signatures for all3184 actual current typed compiler tasks; all512 columns of39 unmatched maps and five complete helper normalizations; independent18577-event/800-row scalar and ownership replay. No historical full suite, new kappa, framework discharge or external admission." + } + ] +} diff --git a/research/p104-native-semantic-review/evidence/COMPARISON.json b/research/p104-native-semantic-review/evidence/COMPARISON.json new file mode 100644 index 0000000000..d05b56b680 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/COMPARISON.json @@ -0,0 +1,63604 @@ +{ + "all_current_main_adapters_matched": true, + "current_distinct_operators": 2406, + "current_internal_pairs": 2939, + "current_raw_tasks": 3184, + "limits": "This driver has not checked current compiler recipes or complete current native scalar endpoints; those require a separate narrow check. 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record and admitted-review text | Reuses that actual admitted source, not archive admission | +| Actual current input and compiler | Direct 17c word pin; scoped Git object plus outer and nested member custody | Earlier nested head labels are not asserted as direct tree membership | +| Expected map comparison | Full signed Pauli and exact zero-column tuples for all selected and current typed tasks | Frame IDs, unsigned tableaux and hash equality alone are insufficient | +| Same price for matched operators | Current and selected intrinsic Gaussian ranks equal their declared paid ranks | No operation is silently replaced by a recipe of another paid rank | +| All current delivered recipes | Actual current compiler emits all recipes; independent full signature checks all 3,184 typed tasks | Avoids assuming the prefix-state cache or matched output is correct | +| Truly unmatched operators | 39 distinct maps checked on all 512 complex columns each | No unnecessary full-column rerun of 2,367 unchanged distinct operators | +| Whole helper jobs | All recipes' L G R identities and ordinary factors; five unmatched full normalizations checked on 512 columns | Every helper remains an arbitrary independent original input | +| Current scalar endpoint | Complete 18,577-event current replay and 800 rational exit rows | No historic scalar suite; actual sign fault rejected | +| Chronology and ownership | 47 INIT/CLEAR lifetimes, 29 labels, peak 14; current complete chronological replay | Not a new literal fixed-tape allocator or proof of production stock | +| Every positive column width | Exact individual identities plus the existing common-chart induction | Exterior coefficients are not tensorized; global assumptions retained | +| Caller/application geometry | Existing PR6716 application supplement | This delta does not rerun its 7,488 contact checks or modify its coverage | +| Scientific adoption | Author-side mathematical application evidence only | Neither CI success nor this review is an external admission | + +The selected inventory has 3,163 typed tasks and 2,393 distinct exact +operators. The current inventory has 3,184 typed tasks and 2,406 distinct +operators. Of the current tasks, 3,145 have selected witnesses representing +2,367 distinct operators. The remaining 39 tasks are all distinct. Internal +frame-pair inventories alone are 2,922 selected versus 2,939 current. + +The complete current scalar replay counts paid calls +`{1:2231,2:454,3:490,4:109,5:152,6:8,7:9,8:1}` and helper jobs +`{1:14,2:8,3:4,4:108,5:16,6:3,7:9,8:40,9:361}`. This is a direct count +from the unchanged current native input. 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"verify.py": { + "bytes": 2048, + "sha256": "bb2139699b7342712a3a13d33c4dc5b904137ad032448965a14808712ac7c61f" + }, + "verify_files.py": { + "bytes": 688, + "sha256": "b67cc3117c26c16e6c928d9827f8984a17c3607654b8742acb253f7278f1b4c3" + } + }, + "schema": "exact-sealed-native-admission-delta-files/1" +} diff --git a/research/p104-native-semantic-review/evidence/FINAL.json b/research/p104-native-semantic-review/evidence/FINAL.json new file mode 100644 index 0000000000..fdfe582e89 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/FINAL.json @@ -0,0 +1,31 @@ +{ + "current_internal_frame_pairs": 2939, + "current_main_adapters": 208, + "current_typed_tasks": 3184, + "external_admission_claimed": false, + "framework_assumptions_unchanged": true, + "independent_scalar_endpoint_rows": 800, + "new_distinct_operators_all512_columns": 39, + "new_helpers_full_normalization_all512_columns": 5, + "new_kappa_claimed": false, + "normal_seconds": 57.834492, + "official_files_modified": false, + "optimized_seconds": 58.57205, + "publication_option": "Companion top-level package research/p104-native-semantic-review in the existing PR6716, if parent chooses; original caller hooks remain unchanged. Measured full read-only run is about58seconds on this machine, not a portable time theorem.", + "python_version": "3.12.13", + "read_only_Git_free_empty_PATH": true, + "receipt_sha256": { + "COMPARISON.json": "884aeaadc2e25667d4a818680f747c5e7b3a5c72c506789cc291b68926718409", + "DENSE.json": "bccc843e7584a456d1a4a25005f5b8bfd46def9f40dc5f61c3769188b20c7c7b", + "RESULT.json": "e37dba28f1e66744feec85a9d7397ad32b40e9bf6d4a3ad18332d17a7f2d847e", + "SCALAR.json": "bd6676f1c81d81c82a33cbf1aa5c987bc13f417547e24eb3e5a0b01902e5757a", + "SIGNATURES.json": "fc01722cc222c75bbaa3918af864d7ed1480f98e6f29962df050acfe9af5b685", + "SOURCE-CUSTODY.json": "7270a14d4811afa37e7f4baf11251d513a29adf11c1278d353940411653e87ff", + "SOURCES.json": "79b74b61e32aed0a7c8f47179cb00b806d5ac9565dc4879f2f29ac8871d6a8ea" + }, + "reviewed_head": "17c08db090004c1fb54220a6d8463a5095789fa9", + "reviewed_pr": 6716, + "schema": "sealed-native-admission-delta/1", + "status": "SEALED_AUTHOR_SIDE_APPLICATION_EVIDENCE", + "stdout_identical": true +} diff --git a/research/p104-native-semantic-review/evidence/NOTICE b/research/p104-native-semantic-review/evidence/NOTICE new file mode 100644 index 0000000000..84f49876e3 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/NOTICE @@ -0,0 +1,11 @@ +Source-bound native semantic application review, prepared for thu-nmrc with +substantial OpenAI Codex assistance. Apache-2.0. + +The unmodified retained files in vendor/ preserve their original notices and +the source pins in SOURCES.json. The compiler and gate lineage includes +Charles Bethin, Wentao Li, Ali Romman, and the authors credited in those +sources. Matarener supplies the retained independent scalar application and +inventory machinery. Clear1nsight supplies the exact dense Gaussian-dyadic +checker. DreamingOfClouds' PR6030 and its maintainer repair supply the admitted +reference. This application review does not appropriate those implementations +or the existing common-chart induction as a new generic theorem. diff --git a/research/p104-native-semantic-review/evidence/PROOF.md b/research/p104-native-semantic-review/evidence/PROOF.md new file mode 100644 index 0000000000..a829279496 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/PROOF.md @@ -0,0 +1,151 @@ +# Exact current native application delta + +This is an author-side independent application review of the unchanged PR6702 +native word used by PR6716 at `17c08db090004c1fb54220a6d8463a5095789fa9`. +It follows the method and conditional scope of the selected PR6030 review. +It is neither an external admission decision nor a new general lifting theorem. + +## Source and comparison boundary + +The admitted reference is the exact PR6030 word retained in canonical commit +`7c49fe32c55de02c2c873655c804b16e4c3fef0a`, not an arbitrary historical word +with the same inventory size. Its compressed SHA256 is +`7834725d9e34ee846a9ccc615221ea81e0201613938afa185d2eda0c9a6c232f`. +The current compressed word has SHA256 +`e8c7a9d54d98a4cfa27e15593016b3908afed303e0f480076ed3f596192e5a4d`. + +`SOURCES.json` identifies every retained input and interpreter. The current +word has a direct reachable 17c Git pin. Its actual compiler comes from that +commit's retained `source6702/source.tar`, through the authenticated +`RETAINED.json` and `engines.tar` members. `SOURCE-CUSTODY.json` binds these +members to the exact local compiler files. Earlier nested `source_head` labels +are lineage labels; this review does not claim that edited archive members +belong to those earlier Git trees. The optional custody checker reads scoped +Git objects and named members without executing source archive code. + +Each word contributes all distinct typed MOVE, helper, main-input and +main-output tasks, with the literal nine-axis frame data and central port. +Task type, frame numbers and inventory counts alone are not semantic keys. +The comparison uses complete operator signatures as follows. + +## Exact signed operator signature + +Let U and V be unitary Clifford operators on the nine-axis complex space. +Suppose their conjugations agree on all nine X and nine Z generators, +including the Pauli phases in Z/4Z. Then V inverse times U commutes with +all these generators. They generate the full matrix algebra, so that +operator is a scalar multiple of the identity. Equality of the complete +nonzero columns U|0> and V|0> fixes the scalar to one. Thus the complete +eighteen signed images and exact zero column determine the operator, +including its absolute phase. + +The zero column consists of integer real and imaginary arrays divided by +2 to a nonnegative integer power. Removing their largest common power of +two, capped by that denominator, makes its representation unique. Every +column's exact squared norm is checked to be one. Comparison and deduplication +use the complete tuples, not their SHA256 labels. A global multiplication by +i preserves all signed Pauli images but changes the zero column and is +explicitly rejected. + +`compare_maps.py` applies the retained independent literal and dense +interpreters to both inventories. It also checks the intrinsic binary B-block +rank against the declared paid Gaussian rank. A selected witness is accepted +only at the same rank. The outcome is 3,145 matched typed current tasks and +39 unmatched typed tasks, the latter all distinct: 34 MOVE tasks and five +helper tasks. All 208 intrinsic main adapters match. There are 2,367 matched +distinct current operators, 2,406 total distinct current operators, and +2,393 distinct selected operators. The difference between 2,939 and 2,922 +internal frame pairs is not the number of new operators. + +## Delivered current recipes, not just expected operators + +Expected-operator equality identifies an old implementation witness; it does +not alone validate the current compiler's output. Therefore +`check_signatures.py` invokes the actual authenticated current compiler for +every current task. It checks the emitted recipe's eighteen signed Pauli +images and its complete exact zero column through separate retained +interpreters, and compares the full result to the independently built literal +task signature. It also checks the actual emitted rank. This covers all +2,939 internal frame pairs and all 208 main adapters, including tasks that +have selected witnesses. It does not assume that the current prefix-state +cache is correct or infer its correctness from an AST comparison. + +`check_dense.py` gives the 39 unmatched tasks an additional direct check of +every one of their 512 complex matrix columns. Every recipe is emitted by +the actual current compiler, rather than emitted by the old compiler on a +new expected task. Column norms and the Gaussian support rank are checked. +A phase-only corruption and an incorrect order of helper inverse factors +are rejected. The old/current compiler-function comparison is recorded as +diagnostic provenance only; it is not the proof of current recipe correctness. + +For each helper task, a valid recipe expresses its complete operator as +U = L G_r R, with ordinary invertible signed monomial factors L and R. +Their inverses applied before and after the complete native invocation give +L inverse times U times R inverse = G_r on the helper's arbitrary input. +All current recipes are checked as above. The five unmatched helper jobs +additionally check this complete normalized operator on all 512 columns, +including both normalizer phases and their placement. No helper input is +assumed zero; no correlated observation is substituted for an independent job. + +## Scalar word and every positive tensor width + +`check_scalar.py` uses the unchanged independent Matarener interpreter used +in the selected lineage, on only the complete current word. It checks all +18,577 events, strict span nesting at MOVE, the common chart of scalar +operations, actual chronological ownership, COPY conditions, and all 800 +exit rows over the rationals. Those rows include all 771 independent public +inputs and 29 owned labels. There are 563 independent helper outputs, 47 +owned lifetimes and a peak of 14 owned fields. An actual compensation ADD +sign fault is rejected at endpoint row 173. No historical word or full +historical native suite is replayed. + +Here is the existing factorwise common-chart argument, stated to delimit the +finite check. Fix arbitrary f >= 1 and let T_c[f] be the f-fold tensor power +of the literal one-column frame operator T_c. For independent raw public +input x_j in initial frame a_j, define z_j = T_a_j[f] inverse applied to x_j. +These z_j are independent arbitrary arrays; they need not be pure tensors. +The invariant at each active field r is + + payload_r = T_current_frame_r[f] times sum_j s_rj z_j, + +where s_rj is the checked rational scalar row. Exact individual MOVE and +adapter equalities lift to tensor powers in the same multiplication order. +A common-chart ADD or SCALE acts on the exterior scalar row. INIT creates +zero, COPY follows the checked owned contract, and CLEAR follows the retained +erasure contract. The checked exit rows therefore give the prescribed native +endpoint for every arbitrary original input under this factorwise ABI. +Appending an identity spectator factor preserves the argument for payloads +correlated with spectators. + +A one-column phase i^a becomes i^(af) under tensoring. An exterior scalar +coefficient stays that scalar. No identity between width-one scalar sums of +operators is tensorized. In particular, this review does not use a finite +width accidental linear dependence as an all-width proof. The same +factorwise frame-induction method is already present in the retained native +checker and PR6030 review; this application and exact source census are the +additional evidence here. + +## Remaining scope + +The global five framework assumptions, including the retained +`native_all_columns` implementation contract, remain explicit. This review +does not establish all-size physical production, layout, stock, callbacks, +precision, or the actual fixed-tape allocator. It changes no invoice, +claimed kappa, selected result, caller word or native word. It supplies a +reproducible source-bound delta for mathematical review, using AI-assisted +author-side independent execution. Scientific admission remains a maintainer +decision. + +## Attribution + +DreamingOfClouds' PR6030 and its maintainer repair supply the exact admitted +reference. Matarener supplies the retained independent scalar and inventory +machinery; Clear1nsight supplies the exact dense Gaussian-dyadic interpreter. +Charles Bethin and the retained lineage supply the Clifford compiler and +literal semantics. Ali Romman supplies the retained current prefix evaluator +and PR6702 lineage. The existing common-chart argument and predecessor +conditional scope are credited explicitly rather than claimed as new. + +This source-bound comparison, current emitted-signature driver, narrow dense +and scalar orchestration, and documentation were prepared for thu-nmrc with +substantial OpenAI Codex assistance, Apache-2.0. diff --git a/research/p104-native-semantic-review/evidence/README.md b/research/p104-native-semantic-review/evidence/README.md new file mode 100644 index 0000000000..264fb2f9d8 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/README.md @@ -0,0 +1,47 @@ +# Source-bound native semantic review + +This directory supplies independent author-side native application evidence +for PR6716's unchanged PR6702 native input, compared with the exact selected +PR6030 source. It changes no kappa, word, invoice or framework assumption and +does not claim external scientific admission. + +Run with Python 3.10 or newer and only the standard library: + +```sh +python3 -I -B verify.py +python3 -I -O -B verify.py +``` + +The default is read-only. All mathematical inputs and retained interpreters +are relative to this directory. It runs without Git, network access, an +executable PATH, a repository checkout, or any original `/tmp` directory. +It compares the inventories, checks every actual current emitted recipe's +exact full signature, checks all 512 columns only for the 39 unmatched maps +and five helper normalizations, and independently replays the current scalar +word. It does not run a historical native or caller suite. + +Optional source custody against a checkout retaining the pinned objects: + +```sh +python3 -I -B source_custody.py --repo /absolute/path/to/integer-mult-bounds +``` + +This reads only exact scoped Git objects and named archive members. The +5.7 MB source archive is not duplicated here. Default scientific replay needs +no repository or archive; exact current compiler members are retained locally +with their container custody. `--write` on the scripts is an explicit +authoring mode; it is not used by read-only validation. + +`PROOF.md` gives the exact signature and factorwise argument and preserves +predecessor credit. `COVERAGE.md` separates checked obligations from inherited +scope. `SOURCES.json` and `SOURCE-CUSTODY.json` identify actual source bytes. +`COMPARISON.json`, `SIGNATURES.json`, `DENSE.json` and `SCALAR.json` are the +recomputed scientific receipts; `RESULT.json` binds them together. + +## Open next question + +A maintainer can review whether this exact current native application delta, +together with PR6716's existing caller/application evidence, meets the +conditional admission standard used for PR6030. This package does not decide +that question. Physical production, all-size stock, routing and precision +obligations outside the retained five assumptions remain outside this review. diff --git a/research/p104-native-semantic-review/evidence/RESULT.json b/research/p104-native-semantic-review/evidence/RESULT.json new file mode 100644 index 0000000000..4486d3c22f --- /dev/null +++ b/research/p104-native-semantic-review/evidence/RESULT.json @@ -0,0 +1,11 @@ +{ + "receipts": { + "COMPARISON.json": "884aeaadc2e25667d4a818680f747c5e7b3a5c72c506789cc291b68926718409", + "DENSE.json": "bccc843e7584a456d1a4a25005f5b8bfd46def9f40dc5f61c3769188b20c7c7b", + "SCALAR.json": "bd6676f1c81d81c82a33cbf1aa5c987bc13f417547e24eb3e5a0b01902e5757a", + "SIGNATURES.json": "fc01722cc222c75bbaa3918af864d7ed1480f98e6f29962df050acfe9af5b685" + }, + "schema": "current-native-source-bound-admission-delta/1", + "scope": "Author-side independent application evidence against the exact selected6030 source. All actual current emitted recipes receive an exact signed-Pauli and complete zero-column check; only39 unmatched operators and5 helper normalizations receive all512 columns. Current scalar and ownership endpoints are replayed independently. No new kappa, framework assumption discharge or external scientific admission.", + "status": "PASS_EXACT_CURRENT_NATIVE_DELTA" +} diff --git a/research/p104-native-semantic-review/evidence/REVISION.json b/research/p104-native-semantic-review/evidence/REVISION.json new file mode 100644 index 0000000000..8bf4496acd --- /dev/null +++ b/research/p104-native-semantic-review/evidence/REVISION.json @@ -0,0 +1,11 @@ +{ + "previous_FILES_sha256": "c4c675120abd8916238f90976cd6a9ab5d763ba94906089c28b6b8ae87f7805c", + "previous_FINAL_sha256": "b7a7c265755a9e775b23ef22f2446e265a45a5cb497ffe76c822879831f4a41f", + "previous_verify_files_sha256": "6489326cabb4a54490d12633d4f800e22a9573ac613f254c4ecfb2a91b777af7", + "reason": "Exclude only the root FILES.json from exact payload matching; nested files of the same basename must be checked. Scientific scripts and receipts are unchanged.", + "revision": 2, + "schema": "native-delta-explicit-seal-revision/1", + "scientific_receipts_unchanged": true, + "scientific_rerun_required": false, + "updated_verify_files_sha256": "b67cc3117c26c16e6c928d9827f8984a17c3607654b8742acb253f7278f1b4c3" +} diff --git a/research/p104-native-semantic-review/evidence/SCALAR.json b/research/p104-native-semantic-review/evidence/SCALAR.json new file mode 100644 index 0000000000..c237dc841c --- /dev/null +++ b/research/p104-native-semantic-review/evidence/SCALAR.json @@ -0,0 +1,49 @@ +{ + "all_current_endpoint_rows": 800, + "changed_compensation_sign_rejected": "endpoint row 173", + "historical_words_replayed": 0, + "independent_engine_sha256": "66c9fd157cba8abe62fb9ce63f59322c39976ad38f8d4c3c4aefb71b7448d5ae", + "replay": { + "endpoint_rows": 800, + "events": 18577, + "helper_count": 563, + "helpers": { + "1": 14, + "2": 8, + "3": 4, + "4": 108, + "5": 16, + "6": 3, + "7": 9, + "8": 40, + "9": 361 + }, + "ops": { + "ADD": 14153, + "CLEAR": 47, + "COPY": 1, + "INIT": 47, + "MOVE": 3454, + "SCALE": 875 + }, + "owned_fields": 29, + "owned_lifetimes": 47, + "paid": { + "1": 2231, + "2": 454, + "3": 490, + "4": 109, + "5": 152, + "6": 8, + "7": 9, + "8": 1 + }, + "paid_rank_mass": 5924, + "peak_owned": 14, + "public": 771 + }, + "schema": "independent-current-native-scalar-application/1", + "scope": "One complete current18577-event word only, via the exact independent engine used by6030 admission. No native/caller/compiler/price/history suite. Charted rational native identity and chronological ownership; global quantified framework assumptions and external scientific decision remain unchanged.", + "source_word_sha256": "e8c7a9d54d98a4cfa27e15593016b3908afed303e0f480076ed3f596192e5a4d", + "status": "PASS_CURRENT_NATIVE_ALL_SCALAR_ENDPOINTS_AND_OWNERSHIP" +} diff --git a/research/p104-native-semantic-review/evidence/SIGNATURES.json b/research/p104-native-semantic-review/evidence/SIGNATURES.json new file mode 100644 index 0000000000..2b7de8fe10 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/SIGNATURES.json @@ -0,0 +1,35040 @@ +{ + "actual_recipe_emissions": 3147, + "exact_signatures_evaluated": 5554, + "internal_frame_pairs": 2939, + "intrinsic_main_adapters": 208, + "matched_typed_tasks": 3145, + "phase_only_control_rejected": true, + "recipe_payload_sha256": "1d326e1cf791e4ca8e53da053eb2a42ff08a8ccbb8d264de98637ed4af2f8678", + "records": [ + { + "normal_form_sha256": 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"nested_FILES_exit": 1, + "nested_FILES_rejected": true + }, + { + "baseline_exit": 0, + "command": [ + "/Users/gsdata/.local/share/uv/python/cpython-3.12-macos-aarch64-none/bin/python3.12", + "-I", + "-O", + "-B", + "/tmp/p104-native-admission-delta-20261105/verify_files.py" + ], + "failure_reason": "exact sealed payload mismatch, missing/extra/changed files", + "nested_FILES_exit": 1, + "nested_FILES_rejected": true + } + ], + "scope": "Only seal checker normal and optimized baseline plus nested FILES.json rejection; no scientific rerun." +} diff --git a/research/p104-native-semantic-review/evidence/VALIDATION-normal.json b/research/p104-native-semantic-review/evidence/VALIDATION-normal.json new file mode 100644 index 0000000000..30477381f3 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/VALIDATION-normal.json @@ -0,0 +1,14 @@ +{ + "PATH": "", + "command": [ + "/Users/gsdata/.local/share/uv/python/cpython-3.12-macos-aarch64-none/bin/python3.12", + "-I", + "-B", + 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100644 index 0000000000..2f3a40969d --- /dev/null +++ b/research/p104-native-semantic-review/evidence/check_dense.py @@ -0,0 +1,106 @@ +"""All512 columns only for the39 genuinely unmatched current native operators. + +The actual current prefix_clifford.py emits each recipe. Literal and dense +interpreters are the separate selected6030 machinery, not that compiler. +Five newly unmatched helper jobs additionally check the complete right-before / +left-after inverse normalizers against the positive Gaussian on all columns. +""" +from pathlib import Path +from hashlib import sha256 +from fractions import Fraction +import argparse +import ast +import importlib.util +import json +import sys + +HERE=Path(__file__).resolve().parent +spec=importlib.util.spec_from_file_location('dense_map_compare',HERE/'compare_maps.py') +B=importlib.util.module_from_spec(spec);sys.modules[spec.name]=B;spec.loader.exec_module(B) + + +def source_functions(path): + out={} + for x in ast.parse(path.read_text()).body: + if isinstance(x,ast.FunctionDef):out[x.name]=ast.dump(x,include_attributes=False) + if isinstance(x,ast.ClassDef): + for m in x.body: + if isinstance(m,ast.FunctionDef):out[x.name+'.'+m.name]=ast.dump(m,include_attributes=False) + return out + + +def run(comparison=None): + B.authenticate() + comparison=B.run()if comparison is None else comparison + oldf=source_functions(HERE/'vendor/old_clifford.py') + newf=source_functions(HERE/'vendor/current/prefix_clifford.py') + B.need(set(oldf)==set(newf) and [k for k in oldf if oldf[k]!=newf[k]]==['Op.zero_state'], + 'all27 compiler functions match selected implementation except exact state-evaluator fork') + sys.path.insert(0,str(HERE/'vendor/current')) + C=B.load('actual_current_compiler','current/prefix_clifford.py') + V=B.load('dense_independent_literal','literal.py');D=B.load('dense_independent_columns','dense.py') + w=B.read('inputs/CURRENT-WORD.json.gz');actual_tasks=set(B.inventory(w));records=[];helper_records=[] + examples=[] + for item in comparison['unmatched']: + kind,a,b,q=t=tuple(item['current']) + B.need(t in actual_tasks and kind in ('move','helper'),'actual unmatched task from current native') + literal=V.adjoint(V.frame(tuple(w['frames'][a]),9))+V.frame(tuple(w['frames'][b]),9) + op=C.canonical_frame(9,tuple(w['frames'][a])).adjoint().then(C.canonical_frame(9,tuple(w['frames'][b]))) + recipe,_=C.lower_child(op) + B.need(recipe['rank']==item['rank'],'actual current emitted recipe keeps paid rank') + actual=V.recipe(recipe);ac=D.compile_circuit(actual);expected=D.compile_circuit(literal) + h=sha256() + for col in range(512): + left,right=D.dense_column(ac,col),D.dense_column(expected,col) + B.need(left==right,'actual current recipe exact full complex column '+str((t,col))) + re,im,den=left + B.need(sum(x*x+y*y for x,y in zip(re,im))==1<<(2*den),'exact unitary column norm') + B.need(sum(bool(x or y)for x,y in zip(re,im))==1< vector. Individual Clifford equality implies every literal columnwise tensor power; it does not tensorize a scalar operator sum. No full512-column replay of unchanged maps, no historical suite or scientific admission.'} + + +if __name__ == '__main__': + p=argparse.ArgumentParser();p.add_argument('--write',action='store_true');a=p.parse_args() + r=run();raw=json.dumps(r,sort_keys=True,indent=2)+'\n';path=HERE/'SIGNATURES.json' + if a.write:path.write_text(raw) + else:B.need(path.read_text()==raw,'read-only current emitted-signature receipt') + print(json.dumps({k:r[k] for k in ('status','typed_tasks','internal_frame_pairs','intrinsic_main_adapters','recipe_payload_sha256')},sort_keys=True)) diff --git a/research/p104-native-semantic-review/evidence/compare_maps.py b/research/p104-native-semantic-review/evidence/compare_maps.py new file mode 100644 index 0000000000..02a3abde85 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/compare_maps.py @@ -0,0 +1,132 @@ +"""Exact semantic task comparison against the selected6030 native inventory. + +Retains Matarener/Clear1nsight native literal and dense machinery pinned in +SOURCES.json. This driver does not import a current compiler or scalar replay. +It compares full signed Pauli conjugation AND the complete exact U|0> column. +No tableau-only equivalence, frame-ID equivalence, or scalar-word tensorization. +thu-nmrc with substantial OpenAI Codex assistance, Apache-2.0. +""" +from pathlib import Path +from hashlib import sha256,sha1 +from functools import lru_cache +import argparse +import gzip +import importlib.util +import json +import sys + +HERE=Path(__file__).resolve().parent + + +def need(ok,why): + if not ok:raise ValueError(why) + + +def read(name): + b=(HERE/name).read_bytes() + return json.loads(gzip.decompress(b)if name.endswith('.gz')else b) + + +def authenticate(): + pins=read('SOURCES.json') + for p in pins['files']: + b=(HERE/p['copy']).read_bytes() + need(len(b)==p['bytes'] and sha256(b).hexdigest()==p['sha256'],'source SHA '+p['copy']) + need(sha1(b'blob '+str(len(b)).encode()+b'\0'+b).hexdigest()==p['git_blob'],'source blob '+p['copy']) + old=read('inputs/6030-REUSE.json')['files'] + need(sha256((HERE/'inputs/6030-WORD.json.gz').read_bytes()).hexdigest()== + old['research/p104-helper470-twin-rung-removal/WORD.json.gz'], + 'exact independently admitted6030 word') + return len(pins['files']) + + +def load(name,file): + spec=importlib.util.spec_from_file_location(name,HERE/'vendor'/file) + module=importlib.util.module_from_spec(spec);sys.modules[name]=module;spec.loader.exec_module(module) + return module + + +def inventory(w): + main=set(w['live'])|{r+112 for r in w['live']} + tasks={('move',e[2],e[3],0)for e in w['program']if e[0]=='MOVE'} + tasks|={('helper',w['initial'][r],w['final'][r],0)for r in range(w['public'])if r not in main} + tasks|={('main_in',w['initial'][r],0,q)for r,q in zip(w['live'],w['ports'])} + tasks|={('main_out',w['final'][r+112],0,q)for r,q in zip(w['live'],w['ports'])} + return sorted(tasks) + + +def binary_rank(rows): + pivots={} + for x in rows: + while x: + p=x.bit_length()-1 + if p not in pivots:pivots[p]=x;break + x^=pivots[p] + return len(pivots) + + +def run(): + pins=authenticate();old=read('inputs/6030-WORD.json.gz');new=read('inputs/CURRENT-WORD.json.gz') + V=load('selected_literal','literal.py');D=load('selected_dense','dense.py') + @lru_cache(None) + def frame(v):return V.frame(v,9) + def circuit(w,t): + kind,a,b,q=t + if kind in ('move','helper'): + return V.adjoint(frame(tuple(w['frames'][a])))+frame(tuple(w['frames'][b])) + if kind=='main_in':return V.adjoint((('C',q,1),))+frame(tuple(w['frames'][a])) + return V.adjoint(frame(tuple(w['frames'][a])))+(('C',q,-1),)+V.fourier(9) + @lru_cache(None) + def normal(c): + tab=V.tableau(c) + real,imag,den=D.dense_column(D.compile_circuit(c),0) + need(sum(x*x+y*y for x,y in zip(real,imag))==1<<(2*den),'exact nonzero unit zero column') + entries=tuple((i,x,y)for i,(x,y)in enumerate(zip(real,imag))if x or y) + return tab,den,entries + def declared(w,t): + return abs(len(w['frames'][t[1]])-len(w['frames'][t[2]]))if t[0]in('move','helper')else 0 + def collect(w): + records=[];forms={} + for t in inventory(w): + c=circuit(w,t);n=normal(c);rank=binary_rank([x for x,z,p in n[0][9:]]) + need(rank==declared(w,t),'actual semantic Gaussian rank equals paid/adapter rank') + # Equality and dedup use full tuples; hashes are custody labels only. + forms.setdefault(n,[]).append(t) + records.append((t,n,rank)) + return records,forms + a,am=collect(old);b,bm=collect(new) + witnesses=[];unmatched=[] + for t,n,r in b: + digest=sha256(json.dumps(n,separators=(',',':')).encode()).hexdigest() + if n in am: + old_rank=declared(old,am[n][0]);need(r==old_rank,'same exact operator keeps selected paid Gaussian rank') + witnesses.append({'current':list(t),'selected6030_witness':list(am[n][0]),'rank':r,'selected_recipe_rank':old_rank,'normal_form_sha256':digest}) + else: + unmatched.append({'current':list(t),'rank':r,'normal_form_sha256':digest, + 'signed_pauli':n[0],'zero_column_denominator':n[1],'zero_column':n[2]}) + unique_unmatched={n for t,n,r in b if n not in am} + # A phase-only change has identical conjugation but a different full state. + example=circuit(new,b[0][0]);actual=normal(example);wrong=normal(example+(('phase',1),)) + need(actual[0]==wrong[0] and actual!=wrong,'absolute phase distinguishes tableau-identical operators') + # The exact signature can also identify a native task despite changed IDs. + return {'schema':'native-semantic-map-comparison/1','status':'PASS_EXACT_OPERATOR_SIGNATURE_COMPARISON', + 'source_pins':pins,'selected6030_raw_tasks':len(a),'current_raw_tasks':len(b), + 'selected6030_distinct_operators':len(am),'current_distinct_operators':len(bm), + 'matched_current_tasks':len(witnesses),'unmatched_current_tasks':len(unmatched), + 'matched_current_distinct_operators':len(set(bm)&set(am)), + 'all_current_main_adapters_matched':all(n in am for t,n,r in b if t[0]in('main_in','main_out')), + 'unmatched_current_distinct_operators':len(unique_unmatched), + 'selected_internal_pairs':len({(t[1],t[2])for t,n,r in a if t[0]in('move','helper')}), + 'current_internal_pairs':len({(t[1],t[2])for t,n,r in b if t[0]in('move','helper')}), + 'matched':witnesses,'unmatched':unmatched, + 'phase_only_control_rejected':True,'literal_circuits_evaluated':normal.cache_info().misses, + 'semantic_rule':'Full signed Pauli conjugation plus exact nonzero U|0> determines a Clifford including global phase. Equality is individual exact matrix equality, hence equality of its literal columnwise tensor powers for every f. No scalar linear-combination word is tensorized.', + 'limits':'This driver has not checked current compiler recipes or complete current native scalar endpoints; those require a separate narrow check. The five framework assumptions and external scientific application decision are unchanged.'} + + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--write',action='store_true');a=p.parse_args() + result=run();raw=json.dumps(result,sort_keys=True,indent=2)+'\n';path=HERE/'COMPARISON.json' + if a.write:path.write_text(raw) + else:need(path.read_text()==raw,'read-only semantic comparison receipt') + print(json.dumps({k:result[k]for k in ['status','selected6030_raw_tasks','current_raw_tasks','matched_current_tasks','unmatched_current_tasks','unmatched_current_distinct_operators']},sort_keys=True)) diff --git a/research/p104-native-semantic-review/evidence/inputs/6030-INDEPENDENT.json b/research/p104-native-semantic-review/evidence/inputs/6030-INDEPENDENT.json new file mode 100644 index 0000000000..49f04937ee --- /dev/null +++ b/research/p104-native-semantic-review/evidence/inputs/6030-INDEPENDENT.json @@ -0,0 +1,168 @@ +{ + "status": "PASS_INDEPENDENT_6030_WORD_NATIVE_INVOICE_FUNDING", + "replay": { + "events": 22803, + "ops": { + "INIT": 31, + "ADD": 18404, + "SCALE": 861, + "MOVE": 3453, + "CLEAR": 31, + "COPY": 23 + }, + "public": 770, + "owned_fields": 29, + "owned_lifetimes": 31, + "peak_owned": 13, + "paid": { + "1": 2219, + "2": 457, + "3": 496, + "4": 100, + "5": 163, + "6": 11, + "7": 6, + "8": 1 + }, + "helpers": { + "1": 14, + "2": 8, + "3": 4, + "4": 107, + "5": 14, + "6": 2, + "7": 9, + "8": 19, + "9": 385 + }, + "helper_count": 562, + "endpoint_rows": 799, + "paid_rank_mass": 5952 + }, + "paid": { + "1": 41502, + "2": 8226, + "3": 8928, + "4": 1800, + "5": 2934, + "6": 198, + "7": 108, + "8": 18, + "16": 416, + "24": 416, + "32": 416, + "40": 416, + "48": 416, + "56": 416, + "64": 416, + "72": 208 + }, + "targets": { + "1": 252, + "2": 144, + "3": 72, + "4": 1926, + "5": 252, + "6": 36, + "7": 162, + "8": 342, + "9": 6930, + "17": 416, + "25": 416, + "33": 416, + "41": 416, + "49": 416, + "57": 416, + "65": 416, + "73": 208, + "145": 208 + }, + "new_native_maps": [ + [ + [ + "helper", + 3, + 189, + 0 + ], + 8, + "065ffe910bec1d3b661770aeb45d3f331fcf85f2f237b562288bab13d77d82ea" + ], + [ + [ + "helper", + 76, + 394, + 0 + ], + 2, + "0ebdac8dae67b1e89622c4c0ffde56835a6ccef46d4b64e8e3d947f70dab4c11" + ], + [ + [ + "helper", + 749, + 127, + 0 + ], + 6, + "7a5100f1e66d3fd47e1eb9ee69a69dde29ba76b95b1173440285636dfce10c14" + ], + [ + [ + "move", + 3, + 189, + 0 + ], + 8, + "065ffe910bec1d3b661770aeb45d3f331fcf85f2f237b562288bab13d77d82ea" + ], + [ + [ + "move", + 3, + 714, + 0 + ], + 4, + "07c471517840c82c5b5778f77cae7765829c6927aa8e9d2ed059938d944885aa" + ], + [ + [ + "move", + 595, + 637, + 0 + ], + 2, + "2d540100a251ff983e5ccf9d96f8215a389c70759923a0813673efeb35bc126b" + ], + [ + [ + "move", + 714, + 127, + 0 + ], + 5, + "0b207429a4ef9b8992645a564cf9e8ed433ac6acfda523be0acda7e6e40e0c50" + ] + ], + "controls": { + "add1": true, + "add5": true, + "sign_add1": true, + "sign_add5": true + }, + "funding_decimal_diagnostic": { + "alpha": "0.999999997408080181764198797100217346653882913225927582547948991431564538541255122360657073", + "gamma": "0.975562351047467297857948799346421376762866951324511509659680001174760589881609295250937031", + "delta": "0.950628642242169524414131100979163996939333576480522964588742630765671868074632306317323876", + "lower_margin": "4.58207678043968070382355914641487547986222469677915616648803638359000524193E-10", + "upper_margin": "-1.956912013030798458245328600760408509401632784421391367206737107265881886093E-9", + "claim_margin": "0.001825326214203340066708988402365268513268088309043856222651730393574397729542964714" + }, + "compiler_integer_checks": true, + "scope": "Own word/invoice checks via independent PR5960 implementation; all new maps densely checked. Decimal funding is corroboration, not replacement of retained exact rational engines. Five framework assumptions retained." +} diff --git a/research/p104-native-semantic-review/evidence/inputs/6030-REUSE.json b/research/p104-native-semantic-review/evidence/inputs/6030-REUSE.json new file mode 100644 index 0000000000..cebedb91f3 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/inputs/6030-REUSE.json @@ -0,0 +1,26 @@ +{ + "scope": "Reuse completed primary normal macOS/Linux execution at exact repaired source; independent and optimized runs are fresh. No historical whole-suite replay.", + "repaired_head": "746ee5e1160ae64a15a81b2a432d5566142db850", + "files": { + "research/p104-helper470-twin-rung-removal/EDIT.json.gz": "89c5166d3368cd0f949930c88a134d984b4f75217b1e6bb1f57829a639726350", + "research/p104-helper470-twin-rung-removal/EXPECT.json": "1300b39981c7e1a6edafe677f8d606b5be51a658c3516bd70467800674991338", + "research/p104-helper470-twin-rung-removal/PRICING-EDITS.json": "533cc92bb560950b6a6d97fe333c7ab003da57b49910016bcf97ce3cb2f48fae", + "research/p104-helper470-twin-rung-removal/README.md": "86eba866ef0af654bc06ffada16c18cb795443da33f7f636cf5c1e7aee0f6cbc", + "research/p104-helper470-twin-rung-removal/RESULT.json": "84fcbe2a0b64307b5703c363408042bdd91555b0419509aa50daa43b3b1924ad", + "research/p104-helper470-twin-rung-removal/SOURCES.json": "efa21202fd0d220df5607f34540e7dd592c694f5d3793704e3fbf760854c775d", + "research/p104-helper470-twin-rung-removal/TASK.json": "c602dbd3f30206fc98830986f2562e8e919d5e35a981e8a36b0bb289ddbaa531", + "research/p104-helper470-twin-rung-removal/VERIFY.json": "31a0a0804e975365a97d1917167c6d30a1ba4726718d453a12d34624080c3914", + "research/p104-helper470-twin-rung-removal/WORD.json.gz": "7834725d9e34ee846a9ccc615221ea81e0201613938afa185d2eda0c9a6c232f", + "research/p104-helper470-twin-rung-removal/construct.py": "1a417a5a858bd6dfac9d74a1f95c7aecc27b51e3eedf0954593004948935f6b6", + "research/p104-helper470-twin-rung-removal/inputs/pr5827-source.tar": "7af5908a4d83e83e28f59523fd7494841f669b7295311cfdbc3027fa65c5826d", + "research/p104-helper470-twin-rung-removal/inputs/pr5907-WORD.json.gz": "b69a9cb3a26d4f40aa7ad14f814b188fe16a782999f6f56292538e447d67b284", + "research/p104-helper470-twin-rung-removal/pricing.py": "3c6cf2966ccfe5a5fb6c90f89f46ac224ea455127e35dd34975683c68c36d710", + "research/p104-helper470-twin-rung-removal/sources.py": "ebc01917c2e856e7a1712118d5b7f9e841af174751bb0c56aefb1cbb210d7787", + "research/p104-helper470-twin-rung-removal/test_portability.py": "15000434e9acd70fff3b606306f8d7d081695ee364df52809f087788c9b3fb8d", + "research/p104-helper470-twin-rung-removal/verify.py": "91663e9d34c6bd6da8e52175ea77f9918d4dfa8f960ae0c7b53bbd404226fa4f" + }, + "primary_evidence": "docs/research/pr-intake-evidence/pr6030-repair/VALIDATION.json", + "foundation": "certificates/frontier5599-source.json", + "foundation_files_authenticated": 1320, + "unchanged_assumptions": true +} diff --git a/research/p104-native-semantic-review/evidence/inputs/6030-REVIEW.md b/research/p104-native-semantic-review/evidence/inputs/6030-REVIEW.md new file mode 100644 index 0000000000..26f2f6324b --- /dev/null +++ b/research/p104-native-semantic-review/evidence/inputs/6030-REVIEW.md @@ -0,0 +1,187 @@ +# PR6030: independent conditional application review + +Reviewed construction: DreamingOfClouds' PR6030, original head +`772dd10a5859a1d15f4851feb371519789213ad8`, with the maintainer portability +repair at `746ee5e1160ae64a15a81b2a432d5566142db850`. The original word, +edit, pricing, expected result and source archives are unchanged by that repair. +The reviewed claim is **κ = 781451/250000000 = 0.003125804**. + +**Decision: admit the conditional κ = 0.003125804 under the five retained assumptions.** +The independent word/new-native/invoice run, original caller positive control, +candidate caller, and optimized primary pass in 39.16, 84.67, 130.11 and +461.15 seconds respectively. Peak sampled descendant RSS is 578000 KiB. +The exact-source normal primary macOS and hosted Linux evidence is reused. +Normal and optimized primary outputs agree byte for byte; the original caller +positive control has its exact frozen digest. + +Execution completion is recorded in VALIDATION.json. This text alone does not +turn an incomplete run into a pass. Admission is conditional on the same five +framework assumptions as the preceding selected PR5599; it is not a formal +proof or an independent human verification of the full multiplication theorem. + +## Complete word and independence + +The review checks the final word, not merely the small changed histogram. +Matarener's PR5960 independent interpreter, importing no author replay or +pricing routines, checks every scalar event, strict span nesting on every +MOVE, common-chart scalar operation, COPY into cleared owned storage, and all +799 endpoint rows over the rationals. The endpoints are identity on every +public helper and the prescribed X-to-Y shear on all 104 live main pairs. +The author primary also independently checks the dense transpose (638,401 +coefficients). Missing events and changed signs are rejected. + +There are 770 public inputs, including 562 helpers, 29 owned labels and 31 +owned lifetimes, with peak 13. The INIT/CLEAR/COPY multisets match PR5907; +the independent chronological replay checks their actual ordering rather than +assuming multiset equality suffices. All owned fields are cleared at return. +The 22,803-event word obeys the retained 26,000-event bound. Relative to PR5907, +only initial boundaries 713: 3→76 and 736: 424→749, and final boundary 115: +105→189 change; frames, live ports and port ordering are unchanged. + +The helper-470 rung removal and read rerouting are accompanied by a substantial +ordinary-program rewrite. The complete replay, rather than a presumed local +commutation, establishes its scalar identity. Independent helper endpoints are +strictly nested and implement their own positive Gaussian jobs after whole-job +normalization. Owned scratch has no productive credit. There are no new inputs +credited merely from correlated values or spectators. + +The paid change per local call is +−2H1+H2−2H3+H4+H6−H7+H8, while the helper change is +−H1+H2−H3+H6−H7+H8. Thus the signed moment gain is +H1+H3−H4, strictly positive for 0(63/64)^1024. With d=(C−κ)/7=1/1400000000, +H=65807000000000 and j=47005, exact integers give +(H+1)^1024<2^j; the preceding grid point fails. This supplies a sufficient +finite threshold, not a least possible uniform rank or a materialized word. + +The complete nine-row outer ledger retains b=κ+5d, a=κ+4d, q=κ+3d, +complex uniform saving κ+6d, ε=1−d, β=1−3d, and the positive guard/layout +slacks. All 54 strict and four functional predicates pass. The same admitted +BIT saving 17/5000 exceeds C; its stock guard is checked separately. No new +BIT construction or analytic decomposition is inferred from the complex gain. + +## Ordinary work, precision and storage + +The independently recounted local scalar allowance is 189,428; local routes, +normalizers, adapters and all 31 owned lifetimes cost at most 5,325,000 +ordinary primitives under the retained per-pass contract. The complete +caller bound is 126,626,680, below the retained allowance 184,647,552<10^9. +The caller result explicitly retains `paid_native_maps_replayed: false` and +`machine_and_precision_admitted: false`; it independently checks the caller, +not the full machine theorem. Paid maps are covered by the primary and new-map +checks described above. + +Dyadic coefficients and SCALE units obey the primary's fixed bounds. For +coordinate sup norms, scalar additions and dyadic scalings admit elementary +majorants; monomial routes have norm one; a rank-r Gaussian has row-norm bound +at most 2^(rf). Using every elementary majorant at least one controls every +prefix, suffix and subinterval, not merely the final operator. A conservative +complete envelope is 2^(10^9+240152f), plus the retained fixed local realization +guards. COPY is implemented as ADD into owned zero and must propagate residual +errors as an ADD; approximate residuals are not erased from the error analysis +merely because ideal scratch was zero. INIT/CLEAR use the explicit inherited +owned-erasure premise. Summing defect propagation against the envelope gives +finite precision choices under the retained implementation contract. + +The storage count uses all 13,444 productive fields and disjoint owned/query +slots, plus explicit movement scratch under the inherited tape contract. +Fixed descriptor and precision constants are absorbed at fresh outer thresholds +using strict exponent gaps, not assumed absorbed at the fixed carrier N. +The rounded multiplier and enormous uniform word remain unmaterialized. + +## Scope and attribution + +The five assumptions remain exactly native_all_columns, owned_erasure, +compiler, precision_tape, analytic_recovery. No universal barrier or search +optimality claim is admitted. Independent means separate implementations and +source-bound cross-checks with a maintainer application review; it does not +mean independent human or Lean acceptance of the complete multiplication theorem. + +DreamingOfClouds supplied PR6030 and PR5907. Ali Romman supplied PR5827 and the +successive P104 constructions/pricing chain, including the selected PR5599 +foundation. Mason Hale supplied PR5811; Pierre-Loic Doulcet/hexapode supplied +PR5565. Retain Scratch-net, flyingviper, Joel Pulikkan, Dugongue, unpaidmoon, +zxv, thu-nmrc, GamingPuzzled and all source-specific predecessors. Matarener +supplied the independent word/invoice/dense-map audit; Chris R/Clear1nsight +supplied independent native and caller machinery. David Arias, Cinna Davis, +Gareth Davidson, Cao Yifan and Jacob Alan Sussman retain the native, controller, +compiler and productive-recursion credit, together with the BIT/analytic lineage. +This application review and bounded adaptation are by Douglas Colkitt with +OpenAI Codex assistance, Apache-2.0. diff --git a/research/p104-native-semantic-review/evidence/inputs/6030-WORD.json.gz b/research/p104-native-semantic-review/evidence/inputs/6030-WORD.json.gz new file mode 100644 index 0000000000..22f9ab02d1 Binary files /dev/null and b/research/p104-native-semantic-review/evidence/inputs/6030-WORD.json.gz differ diff --git a/research/p104-native-semantic-review/evidence/inputs/CURRENT-WORD.json.gz b/research/p104-native-semantic-review/evidence/inputs/CURRENT-WORD.json.gz new file mode 100644 index 0000000000..3aa0220fe3 Binary files /dev/null and b/research/p104-native-semantic-review/evidence/inputs/CURRENT-WORD.json.gz differ diff --git a/research/p104-native-semantic-review/evidence/source_custody.py b/research/p104-native-semantic-review/evidence/source_custody.py new file mode 100644 index 0000000000..76cb7b2cab --- /dev/null +++ b/research/p104-native-semantic-review/evidence/source_custody.py @@ -0,0 +1,78 @@ +"""Optional exact committed-object custody; reads no archive code into execution.""" +from pathlib import Path +from hashlib import sha1, sha256 +from io import BytesIO +import argparse +import importlib.util +import json +import subprocess +import sys +import tarfile + +HERE=Path(__file__).resolve().parent +spec=importlib.util.spec_from_file_location('custody_comparison',HERE/'compare_maps.py') +B=importlib.util.module_from_spec(spec);sys.modules[spec.name]=B;spec.loader.exec_module(B) +HEAD='17c08db090004c1fb54220a6d8463a5095789fa9' +PACKAGE='research/p104-common-idle-double-retirement' +ARCHIVE_SHA='be2180627c3a9ffc0176434b578659c5769c8546e3ee67dcee55c632646ebe93' +ARCHIVE_BLOB='80fd2423e2d2e52dda3b250173068ab9c981c08e' + + +def blob(raw): + return sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + + +def member(raw,name): + with tarfile.open(fileobj=BytesIO(raw),mode='r:') as t: + f=t.extractfile(name);B.need(f is not None,'regular exact archive member') + return f.read() + + +def run(repo): + pins=B.read('SOURCES.json')['files'];B.authenticate() + def git(head,path): + return subprocess.run(['git','-C',str(repo),'show',head+':'+path],check=True,stdout=subprocess.PIPE).stdout + direct=[] + for p in pins: + if 'head' not in p:continue + raw=git(p['head'],p['path']) + B.need(raw==(HERE/p['copy']).read_bytes(),'direct committed source '+p['copy']) + direct.append({'head':p['head'],'path':p['path'],'copy':p['copy'],'git_blob':blob(raw),'sha256':sha256(raw).hexdigest()}) + archive=git(HEAD,PACKAGE+'/source6702/source.tar') + B.need(sha256(archive).hexdigest()==ARCHIVE_SHA and blob(archive)==ARCHIVE_BLOB, + 'exact current owning outer source archive') + retained=member(archive,'research/gaussian-root-retirement/RETAINED.json') + manifest=json.loads(retained);engine=manifest['engines'] + engines=member(archive,'research/gaussian-root-retirement/'+engine['archive']) + B.need(sha256(engines).hexdigest()==engine['archive_sha256'],'engines nested archive SHA') + nested=[] + for p in pins: + if not p['copy'].startswith('vendor/current/'):continue + name=p['container'].split('!/')[2] + raw=member(engines,name) + pin=next(x for x in engine['files'] if x['path']==name) + B.need(raw==(HERE/p['copy']).read_bytes() and sha256(raw).hexdigest()==pin['sha256'] and blob(raw)==pin['git_blob'], + 'exact current compiler nested member '+name) + nested.append({'member':name,'copy':p['copy'],'sha256':sha256(raw).hexdigest(),'git_blob':blob(raw)}) + native=manifest['native'] + native_archive=member(archive,'research/gaussian-root-retirement/'+native['archive']) + B.need(sha256(native_archive).hexdigest()==native['archive_sha256'],'nested original native archive') + raw=member(native_archive,'research/p104-scaled-transport-fusion/WORD.json.gz') + B.need(raw==(HERE/'inputs/CURRENT-WORD.json.gz').read_bytes(),'reachable17c copy equals original nested actual native') + return {'schema':'native-admission-current-committed-container-custody/1', + 'status':'PASS_DIRECT_GIT_OBJECTS_AND_NESTED_COMPILER_MEMBERS', + 'direct_sources':direct,'outer_source':{'head':HEAD,'path':PACKAGE+'/source6702/source.tar','sha256':ARCHIVE_SHA,'git_blob':ARCHIVE_BLOB}, + 'retained_manifest_sha256':sha256(retained).hexdigest(), + 'engines_archive_sha256':sha256(engines).hexdigest(),'compiler_members':nested, + 'native_archive_sha256':sha256(native_archive).hexdigest(), + 'current_native_word_sha256':sha256(raw).hexdigest(), + 'source_code_executed':False, + 'scope':'Only exact scoped Git blobs and named archive members. Earlier nested source_head labels are lineage, not a claim that edited archive members belong to those old trees. No full repository archive or mathematical replay.'} + + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--repo',type=Path,required=True);p.add_argument('--write',action='store_true');a=p.parse_args() + r=run(a.repo);raw=json.dumps(r,sort_keys=True,indent=2)+'\n';path=HERE/'SOURCE-CUSTODY.json' + if a.write:path.write_text(raw) + else:B.need(path.read_text()==raw,'read-only exact committed-source custody receipt') + print(r['status']) diff --git a/research/p104-native-semantic-review/evidence/vendor/current/inputs/fast_state.py b/research/p104-native-semantic-review/evidence/vendor/current/inputs/fast_state.py new file mode 100644 index 0000000000..5d546d8a05 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/current/inputs/fast_state.py @@ -0,0 +1,82 @@ +"""Exact Gaussian-dyadic state evaluation with bounded, state-free gate tables. + +Charles Bethin, with substantial OpenAI Codex assistance. Apache-2.0. +The gate semantics and normalization follow the pinned clifford_exact.py. +""" +from functools import lru_cache + + +@lru_cache(maxsize=64) +def permutation_table(n, rows): + """Compute Gx from G(x xor lowbit(x)) xor G(lowbit(x)).""" + columns = [sum(((row >> j) & 1) << i for i, row in enumerate(rows)) + for j in range(n)] + table = [0] * (1 << n) + for x in range(1, len(table)): + bit = x & -x + table[x] = table[x ^ bit] ^ columns[bit.bit_length() - 1] + return tuple(table) + + +@lru_cache(maxsize=64) +def phase_table(n, rows, linear): + """Remove the lowest bit; all remaining quadratic partners have larger indices.""" + table = [0] * (1 << n) + for x in range(1, len(table)): + bit = x & -x + i, rest = bit.bit_length() - 1, x ^ bit + table[x] = (table[rest] + linear[i] + + 2 * ((rows[i] & rest).bit_count() & 1)) % 4 + return tuple(table) + + +def clear_caches(): + permutation_table.cache_clear() + phase_table.cache_clear() + + +def zero_state(self, basis=0): + """Drop-in evaluator for valid pinned Op circuits; return the full exact state.""" + size = 1 << self.n + vec = [(0, 0)] * size + vec[basis] = (1, 0) + den = 0 + for gate in self.circuit: + kind = gate[0] + if kind == 'P': + mapping = permutation_table(self.n, tuple(gate[1])) + out = [(0, 0)] * size + for x, value in enumerate(vec): + out[mapping[x]] = value + vec = out + elif kind == 'X': + vec = [vec[x ^ gate[1]] for x in range(size)] + elif kind in ('D', 'phase'): + phases = (phase_table(self.n, tuple(gate[1]), tuple(gate[2])) + if kind == 'D' else [gate[1] % 4] * size) + out = [] + for (a, b), phase in zip(vec, phases): + if phase == 0: + out.append((a, b)) + elif phase == 1: + out.append((-b, a)) + elif phase == 2: + out.append((-a, -b)) + else: + out.append((b, -a)) + vec = out + elif kind == 'C': + q, sign = gate[1:] + out = [] + for x, (a, b) in enumerate(vec): + c, d = vec[x ^ q] + out.append((a - sign*b + c + sign*d, + b + sign*a + d - sign*c)) + vec = out + den += 1 + else: + raise AssertionError(gate) + while den and all((a & 1) == (b & 1) == 0 for a, b in vec): + vec = [(a // 2, b // 2) for a, b in vec] + den -= 1 + return vec, den diff --git a/research/p104-native-semantic-review/evidence/vendor/current/native.py b/research/p104-native-semantic-review/evidence/vendor/current/native.py new file mode 100644 index 0000000000..32a6e1e8a5 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/current/native.py @@ -0,0 +1,65 @@ +"""Retained native replay with explicit compiler and checker inputs. + +Ali Romman; David Arias; Cinna Davis; Gareth Davidson. Apache-2.0. +The only interface change is native(w,C,V); its checks are unchanged. +""" +from collections import Counter +from functools import lru_cache +from hashlib import sha256 +import json +def need(ok, why): + if not ok: + raise ValueError(why) + +def span(basis): + out = {0} + for v in basis: + need(type(v) is int and 0 < v < 512 and (v not in out), 'Independent binary basis') + out |= {x ^ v for x in tuple(out)} + return frozenset(out) + +def native(w, C, V): + n = w['public'] + + @lru_cache(None) + def chart(i): + return C.canonical_frame(9, tuple(w['frames'][i])) + recipes = {} + + def check(a, b): + if (a, b) not in recipes: + recipe, _ = C.lower_child(chart(a).adjoint().then(chart(b))) + expected = V.adjoint(V.frame(w['frames'][a], 9)) + V.frame(w['frames'][b], 9) + V.equal(V.recipe(recipe), expected, 'Native chart change and exact global phase') + need(recipe['rank'] == abs(len(w['frames'][a]) - len(w['frames'][b])), 'Native boundary rank') + recipes[a, b] = recipe + return recipes[a, b] + for e in w['program']: + if e[0] == 'MOVE': + check(e[2], e[3]) + main = set(w['live']) | {r + 112 for r in w['live']} + helper_profile = Counter() + for r in range(n): + if r not in main: + helper_profile[check(w['initial'][r], w['final'][r])['rank']] += 1 + adapters = [] + for r, q in zip(w['live'], w['ports']): + need(w['frames'][w['initial'][r]] == [q], 'Literal central port') + need(span(w['frames'][w['final'][r + 112]]) == frozenset((x for x in range(512) if not (x & q).bit_count() % 2)), 'Literal output hyperplane') + tests = [(C.cgate(9, q, 1).adjoint().then(chart(w['initial'][r])), V.adjoint((('C', q, 1),)) + V.frame(w['frames'][w['initial'][r]], 9)), (chart(w['final'][r + 112]).adjoint().then(C.cgate(9, q, -1).then(C.fourier(9))), V.adjoint(V.frame(w['frames'][w['final'][r + 112]], 9)) + (('C', q, -1),) + V.fourier(9))] + for actual, expected in tests: + recipe, _ = C.lower_child(actual) + need(recipe['rank'] == 0, 'Free intrinsic main adapter') + V.equal(V.recipe(recipe), expected, 'Main endpoint phase') + adapters.append(recipe) + bad = json.loads(json.dumps(next(iter(recipes.values())))) + bad['left']['phase'] = (bad['left']['phase'] + 1) % 4 + a, b = next(iter(recipes)) + try: + V.equal(V.recipe(bad), V.adjoint(V.frame(w['frames'][a], 9)) + V.frame(w['frames'][b], 9), 'Wrong phase control') + except ValueError: + pass + else: + raise ValueError('Wrong native phase accepted') + payload = [[a, b, recipes[a, b]] for a, b in sorted(recipes)] + adapters + return {'distinct_maps': len(recipes), 'main_adapters': len(adapters), 'helper_normalizers': 2 * sum(helper_profile.values()), 'helpers': dict(helper_profile), 'recipe_payload_sha256': sha256(json.dumps(payload, sort_keys=True, separators=(',', ':')).encode()).hexdigest(), 'wrong_phase_rejected': True, 'proof': 'Every signed Pauli image and exact global phase; frame induction at every positive tensor width'} diff --git a/research/p104-native-semantic-review/evidence/vendor/current/native_gray.py b/research/p104-native-semantic-review/evidence/vendor/current/native_gray.py new file mode 100644 index 0000000000..29b30ef027 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/current/native_gray.py @@ -0,0 +1,299 @@ +"""Explicit independent native state fork. + +The retained native verifier and its authors retain credit. Apache-2.0. +Only action and the P address lookup change. Gray-order tables by Ali Romman +with OpenAI Codex assistance. No compiler helper or acceptance result is reused. +""" +"""Check native operators with exact Gaussian dyadic arithmetic. + +The interpreter is adapted from the independent campaign native review. +It does not import the source-code producer or the Clifford compiler. +Research used OpenAI Codex under the user's direction. +""" + +from functools import lru_cache + + +def require(condition, label): + if not condition: + raise ValueError(label) + + +def parity(value): + return value.bit_count() % 2 + + +def mul(matrix, vector): + return sum(parity(row & vector) << i for i, row in enumerate(matrix)) + + +def transpose(matrix): + return tuple(sum(((row >> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + tag = gate[0] + require(tag in ('P','D'), 'state action type') + table = [0]*512 + if tag == 'P': + columns = tuple(sum(((row >> i) & 1) << j for j,row in enumerate(gate[1])) for i in range(9)) + else: + quadratic, linear = gate[1:] + neighbors = tuple((quadratic[i] & ~((1 << (i+1))-1)) | + sum(((quadratic[j] >> i) & 1) << j for j in range(i)) + for i in range(9)) + address = value = 0 + for k in range(1,512): + i = (k & -k).bit_length()-1 + bit = 1 << i + if tag == 'P': + value ^= columns[i] + else: + value = (value + (-linear[i] if address & bit else linear[i]) + + 2*((neighbors[i] & address).bit_count() & 1)) % 4 + address ^= bit + table[address] = value + return tuple(table) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value, denominator = {basis: (1, 0)}, 0 + for gate in circuit: + tag = gate[0] + result = {} + if tag == "C": + direction, sign = gate[1:] + for address, (a, b) in value.items(): + for target, pair in ((address, (a - sign*b, b + sign*a)), + (address ^ direction, (a + sign*b, b - sign*a))): + old = result.get(target, (0, 0)) + result[target] = (old[0] + pair[0], old[1] + pair[1]) + denominator += 1 + else: + for address, pair in value.items(): + if tag == "P": + target = action(gate)[address] + elif tag == "X": + target = address ^ gate[1] + else: + target = address + if tag == "D": + pair = rotate(pair, action(gate)[address]) + else: + require(tag == "phase", "Unknown Gaussian state gate") + pair = rotate(pair, gate[1]) + require(target not in result, "A monomial address map is not injective") + result[target] = pair + value = {address: pair for address, pair in result.items() if pair != (0, 0)} + while denominator and all((a | b) % 2 == 0 for a, b in value.values()): + denominator -= 1 + value = {address: (a//2, b//2) for address, (a, b) in value.items()} + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ": signed Pauli action") + require(state(actual) == state(expected), label + ": exact global phase") + + +def verify(data, certificate): + word = data["word"] + original, clean = data["programs"], data["clean_programs"] + source_recipes = data["recipes"] + residuals = data["residuals"]["recipes"] + native_tags = {"climb", "adapter", "residual_adapter"} + for orientation in ("forward", "backward"): + native = [event for event in clean[orientation] if event[0] in native_tags] + require(native == [event for event in original[orientation] if event[0] in native_tags], + "A retained native event changed") + require(len(native) == 5056, "The retained native event count changed") + frames = [frame(tuple(vectors), 9) for vectors in word["frames"]] + used = {(event[3], event[4]) for program in clean.values() + for event in program if event[0] == "climb"} + children = {(record["old"], record["new"]): record for record in source_recipes["children"]} + require(len(children) == len(source_recipes["children"]) and used <= set(children), + "The retained child recipe coverage is incomplete") + for old, new in sorted(used): + record = children[old, new] + require(record["rank"] == len(word["frames"][new]) - len(word["frames"][old]), + "A retained child has the wrong rank") + equal(recipe(record), adjoint(frames[old]) + frames[new], "Retained child") + endpoints = {(record["role"], record["port"]): record + for record in source_recipes["endpoint_adapters"]} + require(len(endpoints) == len(source_recipes["endpoint_adapters"]) + and set(endpoints) == {(role, p) for role in ("source", "target") for p in range(112)}, + "The endpoint adapter coverage is incomplete") + for (role, port), record in endpoints.items(): + direction = word["ports"][port] + conventional = (("C", direction, 1),) if role == "source" else ( + ("C", direction, -1),) + fourier(9) + index = word["start"][port] if role == "source" else word["final"][112 + port] + require(record["frame"] == index and record["rank"] == 0, "An endpoint frame changed") + equal(recipe(record), adjoint(conventional) + frames[index], "Endpoint adapter") + used_residuals = set() + for program in clean.values(): + for event in program: + if event[0] != "residual_adapter": + continue + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry) + ":" + str(terminal) + require(key in residuals and position in ("pre", "post"), "A residual binding changed") + require(entry == word["start"][register] and terminal == word["final"][register], + "A residual endpoint changed") + used_residuals.add(key) + for key in sorted(used_residuals): + record = residuals[key] + equal(recipe(record), adjoint(frames[record["frame"]]) + frames[record.get("terminal", 1)], + "Residual adapter") + records = certificate["input_recipes"] + ports = certificate["compensation_ports"] + require([record["port"] for record in records] == ports and len(records) == 8, + "The eight input recipes changed") + columns = 0 + for item in records: + port, label = item["port"], item["label"] + require(label == word["ports"][port] and item["canonical_start_frame_id"] == word["start"][port], + "An input recipe has the wrong supplier label") + record = item["recipe"] + require(record["rank"] == 1, "An input copy has the wrong child rank") + for side in ("left", "right"): + factor = record[side] + require(factor["quadratic_rows"] == [0] * 9 and factor["linear_Z4"] == [0] * 9 + and factor["offset"] == factor["phase"] == 0, + "An input factor is not an address permutation") + actual, expected = recipe(record), (("C", label, 1),) + equal(actual, expected, "Positive inherited input line") + for basis in range(512): + require(state(actual, basis) == state(expected, basis), "A complete input Gaussian column differs") + columns += 1 + negative = monomial(record["right"]) + (("C", 1, -1),) + monomial(record["left"]) + require(tableau(negative) != tableau(expected) or state(negative) != state(expected), + "An inverse input child was not detected") + phased = actual + (("phase", 1),) + require(tableau(phased) == tableau(actual) and state(phased) != state(expected), + "An input phase-only error was not detected") + return {"status": "PASS_EXACT_INPUT_NATIVE_FRAMES", "retained_native_events_per_orientation": 5056, + "retained_child_recipes": len(used), "endpoint_adapter_recipes": len(endpoints), + "residual_adapter_recipes": len(used_residuals), "new_input_recipes": len(records), + "new_exact_gaussian_columns": columns, "inverse_input_child_controls": len(records), + "phase_only_controls": len(records), "address_permutation_factors": 2 * len(records), + "method": "Independent signed Pauli and exact Gaussian interpretation; no compiler import", + "scope": "Positive inherited input frames before every retained adapter. No recursive hosting claim."} diff --git a/research/p104-native-semantic-review/evidence/vendor/current/prefix_clifford.py b/research/p104-native-semantic-review/evidence/vendor/current/prefix_clifford.py new file mode 100644 index 0000000000..3224cad263 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/current/prefix_clifford.py @@ -0,0 +1,138 @@ +"""Explicit state-evaluator fork of the retained Clifford compiler. + +Original compiler: Charles Bethin and the retained lineage. Apache-2.0. +Only Op.zero_state changes. Ali Romman with OpenAI Codex assistance. +""" +from state import prefix_state +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + return prefix_state(self,basis) + +def ident(n):return Op(n,identity(n),[]) +def perm(n,G): + cols=transpose(G,n);gi=inv(G,n) + return Op(n,tuple([(a,0,0) for a in cols]+[(0,a,0) for a in gi]),[('P',tuple(G))]) +def diag(n,Q,alpha=None): + Q=tuple(Q);assert transpose(Q,n)==Q + alpha=tuple(alpha) if alpha is not None else tuple((Q[i]>>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<>j)&1)==((q[j]>>i)&1) for i in range(9) for j in range(9)), + 'symmetric quadratic form') + need(all((linear[i]&1)==((q[i]>>i)&1) for i in range(9)), 'quadratic diagonal parity') + phases=[] + for x in range(N): + degree_one=sum(linear[i] for i in range(9) if x>>i&1) + cross=0 + for i in range(9): + if x>>i&1: + for j in range(i+1,9): + if x>>j&1 and q[i]>>j&1: + cross+=2 + phases.append((degree_one+cross)%4) + return tag,tuple(phases) + if tag=='C': + direction,sign=gate[1:] + need(type(direction) is int and 0>remove for v in real];imag=[v>>remove for v in imag] + denominator-=remove + return real,imag,denominator + + +def compare_all(actual, expected, label): + a,b=compile_circuit(actual),compile_circuit(expected) + digest=hashlib.sha256() + for column in range(N): + left=dense_column(a,column) + right=dense_column(b,column) + need(left==right,label+' exact complete matrix column '+str(column)) + re,im,d=left + need(sum(v*v for v in re)+sum(v*v for v in im)==1<<(2*d),label+' exact column norm') + digest.update(json.dumps([column,d,re,im],separators=(',',':')).encode()) + digest.update(b'\n') + return {'columns':N,'complex_entries':N*N,'matrix_sha256':digest.hexdigest()} + + +def first_difference(actual,expected): + a,b=compile_circuit(actual),compile_circuit(expected) + for column in range(N): + if dense_column(a,column)!=dense_column(b,column): + return column + raise ValueError('deliberate native fault was accepted') + + +def main(): + manifest=json.loads((B/'INPUTS.json').read_text()) + for name,expected in manifest['files'].items(): + authenticate((ROOT/name).read_bytes(),expected) + # Transitive source closure and previous normalized/invoice evidence stay + # frozen. Authentication is not a rerun of their scientific computation. + oldpins=json.loads((PRIOR/'INPUTS.json').read_text()) + for name,expected in oldpins['files'].items(): + authenticate((ROOT/name).read_bytes(),expected) + oldreceipt=json.loads((PRIOR/'PAIR-RECEIPT.json').read_text()) + authenticate((PRIOR/'RESULT-normal.json').read_bytes(),oldreceipt['result_sha256']) + oldresult=json.loads((PRIOR/'RESULT-normal.json').read_text()) + need(oldresult['reviewed_head']==manifest['reviewed_head'] and + oldresult['source_endpoint']==oldresult['changed_endpoint']=='pass', + 'exact preceding source-bound endpoint coverage') + sourcepins=json.loads((PRIOR/'sources/contact/SOURCES.json').read_text())['files'] + for name in ('clifford_exact.py','native_verify.py'): + pin=next(p for p in sourcepins if p['path']=='research/p104-native-channel/vendor/'+name) + raw=(B/'sources'/name).read_bytes() + authenticate(raw,pin['sha256']) + try:authenticate(raw+b'\n',pin['sha256']) + except ValueError:pass + else:raise ValueError('source corruption control accepted') + C=load(B/'sources/clifford_exact.py','p104_native_audit_compiler') + V=load(B/'sources/native_verify.py','p104_native_literal_definitions') + old=json.loads(gzip.decompress((PRIOR/'sources/predecessor/WORD.json.gz').read_bytes())) + new=json.loads(gzip.decompress((PRIOR/'sources/contact/WORD.json.gz').read_bytes())) + need({k:v for k,v in old.items() if k!='program'}=={k:v for k,v in new.items() if k!='program'}, + 'public contract, charts, endpoints and ports unchanged') + edits={16798:[['MOVE',341,240,127,False],['MOVE',345,739,127,False]], + 16799:[['ADD',341,345,'-1',127]],16800:[['SCALE',341,'-1',127]],17061:[],17067:[]} + need(new['program']==[e for i,old_event in enumerate(old['program']) for e in edits.get(i,[old_event])], + 'only the five source sites change') + need([e[:-1] for e in old['program'] if e[0]!='MOVE']== + [e[:-1] for e in new['program'] if e[0]!='MOVE'],'owned and scalar schedule unchanged') + before=Counter((e[2],e[3]) for e in old['program'] if e[0]=='MOVE') + after=Counter((e[2],e[3]) for e in new['program'] if e[0]=='MOVE') + delta=Counter(after);delta.subtract(before) + need({k:v for k,v in delta.items() if v}=={(739,240):-1,(240,127):-1,(739,127):1}, + 'actual changed map multiplicities') + controller=json.loads((PRIOR/'sources/predecessor/CONTROLLER.json').read_text()) + full=[e for e in controller['physical_events'] if e[0]=='LOCAL'] + need(len(full)==18 and all(e[3] is False for e in full),'all18 full invocations use this forward word') + frames=old['frames'] + records={} + circuits={} + controls={} + for name,a,b,rank in [('AB',739,240,1),('BD',240,127,5),('AD',739,127,6)]: + need(len(frames[b])-len(frames[a])==rank,'literal native rank') + op=C.canonical_frame(9,tuple(frames[a])).adjoint().then(C.canonical_frame(9,tuple(frames[b]))) + recipe,_=C.lower_child(op) + need(recipe['rank']==rank and recipe['right'] is not None,'declared native child rank') + actual=V.recipe(recipe) + expected=V.adjoint(V.frame(frames[a],9))+V.frame(frames[b],9) + checked=compare_all(actual,expected,name) + records[name]={'old_frame':a,'new_frame':b,'rank':rank,'recipe':recipe, + 'actual_gate_count':len(actual),'expected_gate_count':len(expected),**checked} + circuits[name]=actual + phased=actual+(('phase',1),) + need(V.tableau(phased)==V.tableau(actual),'global phase fault invisible to signed Pauli tableau') + controls[name+'_global_phase']={'first_rejected_column':first_difference(phased,expected), + 'signed_tableau_unchanged':True} + inverse=list(actual) + at=next(i for i,g in enumerate(inverse) if g[0]=='C') + inverse[at]=('C',inverse[at][1],-inverse[at][2]) + controls[name+'_inverse_child']={'first_rejected_column':first_difference(tuple(inverse),expected)} + wrong=deepcopy(recipe);wrong['left']['offset']^=1 + controls[name+'_wrong_boundary']={'first_rejected_column':first_difference(V.recipe(wrong),expected)} + try:need(recipe['rank']+1==len(frames[b])-len(frames[a]),'wrong declared recursive rank') + except ValueError:controls[name+'_wrong_rank']='rejected' + else:raise ValueError('wrong rank accepted') + composition=compare_all(circuits['AB']+circuits['BD'],circuits['AD'],'old two-leg versus direct') + targets={str(r):{'initial_frame':old['initial'][r],'final_frame':old['final'][r], + 'rank':len(frames[old['final'][r]])-len(frames[old['initial'][r]])} + for r in (341,345)} + result={'schema':'p104-native-contact-exact-matrices/v1','reviewed_head':manifest['reviewed_head'], + 'source_hashes':manifest['files'],'maps':records,'old_route_equals_new':composition, + 'controls':controls,'source_authentication_controls':2, + 'direct_dense_complex_entries':3*N*N,'composition_complex_entries':N*N, + 'caller_binding':{'full_calls':18,'all_forward':True,'public_fields':735,'owned_lifetimes':8, + 'target_owners':targets,'public_chart_and_scalar_abi_unchanged':True, + 'previous_normalized_and_invoice_receipt_reused':oldreceipt['result_sha256'], + 'all_parent_native_maps_checked':False,'265_axis_routes_replayed':False}, + 'positive_width_implication':'exact one-column chart equality tensors factorwise; common transport commutes with scalar ADD/SCALE; exterior coefficients are not tensor-powered; spectators stay identity', + 'interpretation':'dense integer real/imaginary vectors with a common power-of-two denominator; no vendor state/tableau used for matrix equality', + 'new_kappa':None,'full_parent_funding_admitted':False,'stop':True} + print(json.dumps(result,sort_keys=True,separators=(',',':'))) + + +if __name__=='__main__':main() diff --git a/research/p104-native-semantic-review/evidence/vendor/literal.py b/research/p104-native-semantic-review/evidence/vendor/literal.py new file mode 100644 index 0000000000..2c209dfa9c --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/literal.py @@ -0,0 +1,277 @@ +"""Check native operators with exact Gaussian dyadic arithmetic. + +The interpreter is adapted from the independent campaign native review. +It does not import the source-code producer or the Clifford compiler. +Research used OpenAI Codex under the user's direction. +""" + +from functools import lru_cache + + +def require(condition, label): + if not condition: + raise ValueError(label) + + +def parity(value): + return value.bit_count() % 2 + + +def mul(matrix, vector): + return sum(parity(row & vector) << i for i, row in enumerate(matrix)) + + +def transpose(matrix): + return tuple(sum(((row >> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + if gate[0] == 'P': + return tuple(mul(gate[1], x) for x in range(512)) + require(gate[0] == 'D', 'state action type') + quadratic, linear = gate[1:] + return tuple((sum(linear[i] for i in range(9) if x >> i & 1) + + 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(9) if x >> i & 1)) % 4 for x in range(512)) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value, denominator = {basis: (1, 0)}, 0 + for gate in circuit: + tag = gate[0] + result = {} + if tag == "C": + direction, sign = gate[1:] + for address, (a, b) in value.items(): + for target, pair in ((address, (a - sign*b, b + sign*a)), + (address ^ direction, (a + sign*b, b - sign*a))): + old = result.get(target, (0, 0)) + result[target] = (old[0] + pair[0], old[1] + pair[1]) + denominator += 1 + else: + for address, pair in value.items(): + if tag == "P": + target = mul(gate[1], address) + elif tag == "X": + target = address ^ gate[1] + else: + target = address + if tag == "D": + pair = rotate(pair, action(gate)[address]) + else: + require(tag == "phase", "Unknown Gaussian state gate") + pair = rotate(pair, gate[1]) + require(target not in result, "A monomial address map is not injective") + result[target] = pair + value = {address: pair for address, pair in result.items() if pair != (0, 0)} + while denominator and all((a | b) % 2 == 0 for a, b in value.values()): + denominator -= 1 + value = {address: (a//2, b//2) for address, (a, b) in value.items()} + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ": signed Pauli action") + require(state(actual) == state(expected), label + ": exact global phase") + + +def verify(data, certificate): + word = data["word"] + original, clean = data["programs"], data["clean_programs"] + source_recipes = data["recipes"] + residuals = data["residuals"]["recipes"] + native_tags = {"climb", "adapter", "residual_adapter"} + for orientation in ("forward", "backward"): + native = [event for event in clean[orientation] if event[0] in native_tags] + require(native == [event for event in original[orientation] if event[0] in native_tags], + "A retained native event changed") + require(len(native) == 5056, "The retained native event count changed") + frames = [frame(tuple(vectors), 9) for vectors in word["frames"]] + used = {(event[3], event[4]) for program in clean.values() + for event in program if event[0] == "climb"} + children = {(record["old"], record["new"]): record for record in source_recipes["children"]} + require(len(children) == len(source_recipes["children"]) and used <= set(children), + "The retained child recipe coverage is incomplete") + for old, new in sorted(used): + record = children[old, new] + require(record["rank"] == len(word["frames"][new]) - len(word["frames"][old]), + "A retained child has the wrong rank") + equal(recipe(record), adjoint(frames[old]) + frames[new], "Retained child") + endpoints = {(record["role"], record["port"]): record + for record in source_recipes["endpoint_adapters"]} + require(len(endpoints) == len(source_recipes["endpoint_adapters"]) + and set(endpoints) == {(role, p) for role in ("source", "target") for p in range(112)}, + "The endpoint adapter coverage is incomplete") + for (role, port), record in endpoints.items(): + direction = word["ports"][port] + conventional = (("C", direction, 1),) if role == "source" else ( + ("C", direction, -1),) + fourier(9) + index = word["start"][port] if role == "source" else word["final"][112 + port] + require(record["frame"] == index and record["rank"] == 0, "An endpoint frame changed") + equal(recipe(record), adjoint(conventional) + frames[index], "Endpoint adapter") + used_residuals = set() + for program in clean.values(): + for event in program: + if event[0] != "residual_adapter": + continue + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry) + ":" + str(terminal) + require(key in residuals and position in ("pre", "post"), "A residual binding changed") + require(entry == word["start"][register] and terminal == word["final"][register], + "A residual endpoint changed") + used_residuals.add(key) + for key in sorted(used_residuals): + record = residuals[key] + equal(recipe(record), adjoint(frames[record["frame"]]) + frames[record.get("terminal", 1)], + "Residual adapter") + records = certificate["input_recipes"] + ports = certificate["compensation_ports"] + require([record["port"] for record in records] == ports and len(records) == 8, + "The eight input recipes changed") + columns = 0 + for item in records: + port, label = item["port"], item["label"] + require(label == word["ports"][port] and item["canonical_start_frame_id"] == word["start"][port], + "An input recipe has the wrong supplier label") + record = item["recipe"] + require(record["rank"] == 1, "An input copy has the wrong child rank") + for side in ("left", "right"): + factor = record[side] + require(factor["quadratic_rows"] == [0] * 9 and factor["linear_Z4"] == [0] * 9 + and factor["offset"] == factor["phase"] == 0, + "An input factor is not an address permutation") + actual, expected = recipe(record), (("C", label, 1),) + equal(actual, expected, "Positive inherited input line") + for basis in range(512): + require(state(actual, basis) == state(expected, basis), "A complete input Gaussian column differs") + columns += 1 + negative = monomial(record["right"]) + (("C", 1, -1),) + monomial(record["left"]) + require(tableau(negative) != tableau(expected) or state(negative) != state(expected), + "An inverse input child was not detected") + phased = actual + (("phase", 1),) + require(tableau(phased) == tableau(actual) and state(phased) != state(expected), + "An input phase-only error was not detected") + return {"status": "PASS_EXACT_INPUT_NATIVE_FRAMES", "retained_native_events_per_orientation": 5056, + "retained_child_recipes": len(used), "endpoint_adapter_recipes": len(endpoints), + "residual_adapter_recipes": len(used_residuals), "new_input_recipes": len(records), + "new_exact_gaussian_columns": columns, "inverse_input_child_controls": len(records), + "phase_only_controls": len(records), "address_permutation_factors": 2 * len(records), + "method": "Independent signed Pauli and exact Gaussian interpretation; no compiler import", + "scope": "Positive inherited input frames before every retained adapter. No recursive hosting claim."} diff --git a/research/p104-native-semantic-review/evidence/vendor/old_clifford.py b/research/p104-native-semantic-review/evidence/vendor/old_clifford.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/p104-native-semantic-review/evidence/vendor/old_clifford.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<