From 92e5b3dacbcadd585e68e6fc7b63665471513784 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Mon, 26 Oct 2026 22:13:19 -0500 Subject: [PATCH 1/2] Resynthesize one P104 path with a fully charged kappa gain --- .../LOCAL-EDITS.json | 6 + research/p104-unread-path-resynthesis/NOTICE | 17 + .../p104-unread-path-resynthesis/PLAN.json | 105 +++ .../PRICING-EDITS.json | 18 + .../p104-unread-path-resynthesis/PROOF.md | 152 +++++ .../p104-unread-path-resynthesis/README.md | 90 +++ .../p104-unread-path-resynthesis/RESULT.json | 381 +++++++++++ .../p104-unread-path-resynthesis/SOURCES.json | 193 ++++++ .../p104-unread-path-resynthesis/TASK.json | 123 ++++ .../VALIDATION.md | 8 + .../p104-unread-path-resynthesis/VERIFY.json | 30 + .../p104-unread-path-resynthesis/WITNESS.json | 39 ++ .../p104-unread-path-resynthesis/WORD.json.gz | Bin 0 -> 122919 bytes .../p104-unread-path-resynthesis/construct.py | 51 ++ .../inputs/pr5786-source.tar | Bin 0 -> 3788800 bytes .../inputs/pr5811-NOTICE | 6 + .../inputs/pr5811-PROOF.md | 219 ++++++ .../inputs/pr5811-RESULT.json | 623 ++++++++++++++++++ .../inputs/pr5811-WORD.json.gz | Bin 0 -> 122915 bytes .../p104-unread-path-resynthesis/local.py | 208 ++++++ .../p104-unread-path-resynthesis/pricing.py | 184 ++++++ .../p104-unread-path-resynthesis/sources.py | 64 ++ .../p104-unread-path-resynthesis/verify.py | 154 +++++ 23 files changed, 2671 insertions(+) create mode 100644 research/p104-unread-path-resynthesis/LOCAL-EDITS.json create mode 100644 research/p104-unread-path-resynthesis/NOTICE create mode 100644 research/p104-unread-path-resynthesis/PLAN.json create mode 100644 research/p104-unread-path-resynthesis/PRICING-EDITS.json create mode 100644 research/p104-unread-path-resynthesis/PROOF.md create mode 100644 research/p104-unread-path-resynthesis/README.md create mode 100644 research/p104-unread-path-resynthesis/RESULT.json create mode 100644 research/p104-unread-path-resynthesis/SOURCES.json create mode 100644 research/p104-unread-path-resynthesis/TASK.json create mode 100644 research/p104-unread-path-resynthesis/VALIDATION.md create mode 100644 research/p104-unread-path-resynthesis/VERIFY.json create mode 100644 research/p104-unread-path-resynthesis/WITNESS.json create mode 100644 research/p104-unread-path-resynthesis/WORD.json.gz create mode 100644 research/p104-unread-path-resynthesis/construct.py create mode 100644 research/p104-unread-path-resynthesis/inputs/pr5786-source.tar create mode 100644 research/p104-unread-path-resynthesis/inputs/pr5811-NOTICE create mode 100644 research/p104-unread-path-resynthesis/inputs/pr5811-PROOF.md create mode 100644 research/p104-unread-path-resynthesis/inputs/pr5811-RESULT.json create mode 100644 research/p104-unread-path-resynthesis/inputs/pr5811-WORD.json.gz create mode 100644 research/p104-unread-path-resynthesis/local.py create mode 100644 research/p104-unread-path-resynthesis/pricing.py create mode 100644 research/p104-unread-path-resynthesis/sources.py create mode 100644 research/p104-unread-path-resynthesis/verify.py diff --git a/research/p104-unread-path-resynthesis/LOCAL-EDITS.json b/research/p104-unread-path-resynthesis/LOCAL-EDITS.json new file mode 100644 index 0000000000..f725d2bb87 --- /dev/null +++ b/research/p104-unread-path-resynthesis/LOCAL-EDITS.json @@ -0,0 +1,6 @@ +[ + [ + "8 <= owned <= 25", + "8 <= owned <= 29" + ] +] diff --git a/research/p104-unread-path-resynthesis/NOTICE b/research/p104-unread-path-resynthesis/NOTICE new file mode 100644 index 0000000000..25bde9a679 --- /dev/null +++ b/research/p104-unread-path-resynthesis/NOTICE @@ -0,0 +1,17 @@ +Unread-register path resynthesis +Copyright 2026 Ali Romman. Apache-2.0. + +New construction, code, calculations and prose: Ali Romman with substantial +OpenAI Codex assistance. No subagents. All new checks are author-side. + +Mason Hale supplied PR5811, the complete two-block composition and the exact +role92 remapping and fourth accumulation. The earlier elementary accumulation, +retained-copy and second-block work is by Ali Romman. Joel Pulikkan supplied +R22. Dugongue supplied the concurrent baseline composition proof. Their source +notice and proof are retained byte for byte under inputs/pr5811-*. + +The source closure retains flyingviper, Cinna Davis, David Arias, Gareth +Davidson, Jacob Alan Sussman, zxv, Cao Yifan, Pierre-Loic Doulcet, thu-nmrc, +Scratch-net and all native/helper/controller/compiler/geometry/analytic +predecessors. The exact PR5786 source archive and its nested notices remain. +This package does not claim any predecessor construction as new. diff --git a/research/p104-unread-path-resynthesis/PLAN.json b/research/p104-unread-path-resynthesis/PLAN.json new file mode 100644 index 0000000000..dc269304a4 --- /dev/null +++ b/research/p104-unread-path-resynthesis/PLAN.json @@ -0,0 +1,105 @@ +{ + "start": 13815, + "old": [ + [ + "MOVE", + 773, + 1031, + 597, + true + ], + [ + "ADD", + 709, + 773, + "1", + 597 + ], + [ + "MOVE", + 733, + 3, + 597, + false + ], + [ + "ADD", + 733, + 773, + "1", + 597 + ], + [ + "MOVE", + 695, + 3, + 597, + false + ], + [ + "ADD", + 695, + 733, + "1", + 597 + ], + [ + "MOVE", + 695, + 597, + 1031, + false + ] + ], + "new": [ + [ + "ADD", + 695, + 733, + "1", + 3 + ], + [ + "MOVE", + 695, + 3, + 1031, + false + ], + [ + "ADD", + 695, + 773, + "1", + 1031 + ], + [ + "MOVE", + 773, + 1031, + 597, + true + ], + [ + "ADD", + 709, + 773, + "1", + 597 + ], + [ + "MOVE", + 733, + 3, + 597, + false + ], + [ + "ADD", + 733, + 773, + "1", + 597 + ] + ] +} \ No newline at end of file diff --git a/research/p104-unread-path-resynthesis/PRICING-EDITS.json b/research/p104-unread-path-resynthesis/PRICING-EDITS.json new file mode 100644 index 0000000000..205de29901 --- /dev/null +++ b/research/p104-unread-path-resynthesis/PRICING-EDITS.json @@ -0,0 +1,18 @@ +[ + [ + "KAPPA, TESTED = Q('.00312265044'), Q('.003122650445')", + "KAPPA, TESTED = Q('0.00312476680'), Q('0.003124766805')" + ], + [ + "PREVIOUS = Q('.00312192127')", + "PREVIOUS = Q('0.00312418633064')" + ], + [ + "'kappa_decimal':'0.00312265044','previous_pr5774':PREVIOUS", + "'kappa_decimal':'0.00312476680','previous_pr5811':PREVIOUS" + ], + [ + "sum(paid.values()) == 66906", + "sum(paid.values()) == 66870" + ] +] diff --git a/research/p104-unread-path-resynthesis/PROOF.md b/research/p104-unread-path-resynthesis/PROOF.md new file mode 100644 index 0000000000..eae2e1b895 --- /dev/null +++ b/research/p104-unread-path-resynthesis/PROOF.md @@ -0,0 +1,152 @@ +# One direct query for an unread register + +The exact source is PR5811 at +`33d7760d0a6fea6394aefd014eea68f0af02a92e`. This package changes one +seven-event interval. It retains every public input, target and boundary, +and every owned event. The complete conditional claim is kappa 0.00312476680. +The five inherited assumptions remain. + +## Four-field identity and physical frames + +Let a, b, c and d be the entry values of roles 695, 733, 773 and 709. +These four values are arbitrary, including c in the owned field. Let A be +frame 3, C be frame 597, and B be frame 1031. The exact source has +A strictly inside C strictly inside B, at dimensions 0, 4 and 5. + +The source interval starts at event 13815. It performs: + +```text +MOVE c: B -> C +ADD d += c in C +MOVE b: A -> C +ADD b += c in C +MOVE a: A -> C +ADD a += b in C +MOVE a: C -> B +``` + +The replacement performs: + +```text +ADD a += b in A +MOVE a: A -> B +ADD a += c in B +MOVE c: B -> C +ADD d += c in C +MOVE b: A -> C +ADD b += c in C +``` + +Both words leave the decoded values +`a'=a+b+c`, `b'=b+c`, `c'=c` and `d'=d+c` in the same exit frames. +The first new ADD reads b before its update. The second reads c before +its reverse native query. No outside event occurs inside this interval. +Thus the replacement preserves every later source observation, including +all 23 COPY payloads. The constructor also compares the entire owned-event +subsequence byte for byte. + +The constructor checks the exact interval and its unique location. A +separate four-by-four rational transfer calculation compares all entry +coefficients. The full forward replay checks all 799 input coordinates, +including owned input columns. A dense integer transpose interpreter checks +the same endpoint in reverse order with binary denominators. Each interpreter +checks 638401 coefficients. All arbitrary public helper inputs are retained. + +## Native and ordinary costs + +The two public queries A to C and C to B have ranks 4 and 1. Their +replacement A to B has rank 5. Every native map must implement the actual +frame change, including its absolute phase. Exact Clifford lowering and a +separate native interpreter check all 2918 distinct maps. The checks also +cover 208 main adapters and 1124 helper normalizers. + +Write H_r(t)=r^t. The exact local changes are + +```text +Delta paid = -H1-H4+H5 +Delta targets = 0 +``` + +The signed gain is H1+H4-H5. It is positive for every 0 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999999253/350000000000000", + "fixed_halo_explicit_metadata_branch": "26950000000001/350000000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799999997009/1400000000000000", + "new_semantic_group_guard": "3/1400000000000" + }, + "margins": { + "boundary_algebraic_matrix": "6124542933595625326477/1960000000000000000000000", + "fused_gaussian": "6124542933586875979431/1960000000000000000000000", + "global_coordinate_router": "1093668381/350000000000", + "group_bit_router": "1531135733746718994857/490000000000000000000000", + "group_scans": "699999999999/700000000000", + "main_transform": "6124542932195625326477/1960000000000000000000000", + "microbox_face_corrections": "26950000000001/350000000000", + "polynomial_products": "1399999999999/1400000000000", + "sparse_union_movement": "802374542933595625326477/1960000000000000000000000" + }, + "parameters": { + "a": "1093668381/350000000000", + "b": "174986941/56000000000", + "beta": "1399999999997/1400000000000", + "bit_saving": "17/5000", + "cap_xi": "1782374542932195625326477/1960000000000000000000000", + "complex_uniform_saving": "2187336763/700000000000", + "d": "1/1400000000000", + "epsilon": "1399999999999/1400000000000", + "kappa": "7811917/2500000000", + "lambda_": "398750093279/400000000000", + "lambda_prime": "1395625326477/1400000000000", + "layout": "1/1400000000000", + "q": "4374673523/1400000000000", + "r0": "1/14000000000000", + "stop": "1/1400000000000", + "tested_saving": "624953361/200000000000" + }, + "strict_checks": { + "actual_bit_above_effective": "96331619/350000000000", + "actual_logarithmic_gamma_guard": "1/1400000000000", + "actual_logarithmic_group_guard": "177625457069904374673523/980000000000000000000000", + "alpha_logarithm_absorption": "1/14000000000000", + "boundary_algebraic_matrix_above_kappa": "5595625326477/1960000000000000000000000", + "cap_above_band": "802374542932195625326477/1960000000000000000000000", + "cap_below_cell": "177625457066404374673523/1960000000000000000000000", + "cap_below_phase_cell_power": "2137625457067804374673523/1960000000000000000000000", + "complex_above_effective": "1/1400000000000", + "complex_below_one_over_32": "1575013059/56000000000", + "complex_endpoint": "1/700000000000", + "epsilon_below_one": "1/1400000000000", + "epsilon_positive": "1399999999999/1400000000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586875979431/1960000000000000000000000", + "gaussian_above_main": "695625326477/980000000000000000000000", + "global_coordinate_router_above_kappa": "1/350000000000", + "global_gamma_power_slack": "9/14000000000000", + "group_below_dimension": "1/700000000000", + "group_bit_router_above_kappa": "1746718994857/490000000000000000000000", + "group_gauge_power_slack": "177625457069834374673523/980000000000000000000000", + "group_key_fits_record": "1/700000000000", + "group_positive": "1399999999997/1400000000000", + "group_scans_above_kappa": "697812663239/700000000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "696898190400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000000", + "lambda_above_sigma": "3/2800000000000", + "lambda_above_tau": "1/2800000000000", + "lambda_prime_above_lambda": "1/2800000000000", + "lambda_prime_above_leaf": "111825013059/78400000000000000000000", + "leaf_saving_above_effective": "55825013059/78400000000000000000000", + "main_transform_above_kappa": "4195625326477/1960000000000000000000000", + "membership_arithmetic_fits_record": "1/1400000000000", + "microbox_face_corrections_above_kappa": "26948906331621/350000000000", + "microbox_halo_volume": "110600000000003/1400000000000", + "new_complex_uniform_saving_above_b": "1/1400000000000", + "new_semantic_guard_with_C1_one": "1/1400000000000", + "polynomial_products_above_kappa": "1395625326479/1400000000000", + "positive_layout_slack": "1/1400000000000", + "q_below_effective": "1/1400000000000", + "q_below_internal": "1/1400000000000", + "q_below_leaf": "111825013059/78400000000000000000000", + "q_positive": "4374673523/1400000000000", + "short_record_fallback": "55825013059/56000000000", + "source_axis_superpolynomial": "1/1400000000000", + "sparse_union_movement_above_kappa": "796250000005595625326477/1960000000000000000000000", + "stop_below_one": "1399999999999/1400000000000", + "stop_positive": "1/1400000000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000000", + "union_tag_work_per_visit_fits_record": "3/1400000000000" + } + }, + "paid": { + "1": 41610, + "16": 416, + "2": 8208, + "24": 416, + "3": 8964, + "32": 416, + "4": 1764, + "40": 416, + "48": 416, + "5": 2934, + "56": 416, + "6": 162, + "64": 416, + "7": 108, + "72": 208 + }, + "paid_calls": 66870, + "previous_pr5811": "39052329133/12500000000000", + "productive_fields": 13444, + "query_shears": 15, + "rank_mass_surplus": 760, + "raw_ceiling": { + "derivative_upper": "-367933136390632154472669927947898325700600889223675898395208059/1569275433846670190958947355801916604025588861116008628224", + "interval": [ + "0", + "17/5000" + ] + }, + "raw_headroom": [ + "1507/100000000000000", + "377/25000000000000" + ], + "raw_root_interval": [ + "312476681507/100000000000000", + "78119170377/25000000000000" + ], + "relative_gain_percent": "725586700/39052329133", + "strictification": { + "alpha": { + "lower": "0.999999999989768874284444177647", + "upper": "0.999999999989768874284444177648" + }, + "cutoff": 16, + "delta": { + "lower": "0.951913152001029451974474596213", + "upper": "0.951913152001029451974474596214" + }, + "floor": 17, + "gamma": { + "lower": 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"damaged_source_WORD.json.gz": "Exact source SHA256: research/p104-accumulated-block-composition/WORD.json.gz", + "extra_target_credit": "Every productive helper has a native target", + "late_use_of_old_value": "Scalar destination and coefficient", + "missing_central_translation": "Rejected by the complete Laurent endpoint", + "missing_direct_query": "Scalar destination and coefficient", + "missing_early_observation": "All public and owned rows", + "unpaid_query": "Complete field and call counts", + "wrong_late_sign": "All public and owned rows" + }, + "limits": [ + "All five inherited framework assumptions remain.", + "This is a small gain and does not meet the donor large-improvement target.", + "The large uniform word and rounded multiplier are not materialized.", + "Author checks do not establish independent acceptance.", + "The selected frontier is unchanged." + ], + "local": { + "endpoint_coefficients": 638401, + "helpers": { + "1": 18, + "2": 7, + "3": 4, + "4": 107, + "5": 14, + "7": 9, + "8": 18, + "9": 385 + }, + "owned_fields": 29, + "owned_lifetimes": 31, + "paid": { + "1": 2225, + "2": 456, + "3": 498, + "4": 98, + "5": 163, + "6": 9, + "7": 6 + }, + "paid_rank_mass": 5934, + "peak_owned_fields": 13, + "public_inputs": 770, + "real_scalar_allowance": 225046 + }, + "native": { + "distinct_maps": 2918, + "helper_normalizers": 1124, + "helpers": { + "1": 18, + "2": 7, + "3": 4, + "4": 107, + "5": 14, + "7": 9, + "8": 18, + "9": 385 + }, + "main_adapters": 208, + "proof": "Every signed Pauli image and exact global phase; frame induction at every positive tensor width", + "recipe_payload_sha256": "fdaf779e9bf6affff9a356b0182f7971b2bddb41b2dc8f40cdbfbccb7735e803", + "wrong_phase_rejected": true + }, + "paid_delta": { + "1": -1, + "4": -1, + "5": 1 + }, + "physical_caller": { + "central_square_columns": 53248, + "full_calls": 18, + "main_targets": { + "145": 208, + "17": 416, + "25": 416, + "33": 416, + "41": 416, + "49": 416, + "57": 416, + "65": 416, + "73": 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+ "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": "Resynthesize one unread public-register path in exact PR5811, with all productive targets fixed.", + "scope_change_reason": "The elementary two-query path has an earlier available source. Distribute the pending update across the endpoint frames and pay one direct native query.", + "bottleneck_link": "Replace H1+H4 by H5 in the paid profile. Check the complete caller, compiler and outer costs.", + "budget_minutes": null, + "stop_rule": "Retain the step only after every scalar column, native phase, full caller, cost and compiler check passes.", + "outcome": "completed", + "evidence": "PROOF.md, RESULT.json, WORD.json.gz and WITNESS.json", + "author": "Ali Romman with substantial OpenAI Codex assistance", + "ai_assistance": "Substantial OpenAI Codex assistance for construction, calculations, code and prose. No subagents. All checks are author-side.", + "open_questions": [ + { + "question": "Can a different nonnested helper cut give a larger complete gain?", + "why_it_matters": "This result is a small step. It does not meet the donor large-improvement objective.", + "first_step": "Check live scopes and true native ranks, then prove the complete arbitrary-input split.", + "blocked_by": "No larger construction is established." + }, + { + "question": "Does independent review accept this path replacement and full price?", + "why_it_matters": "Author checks do not establish independent acceptance.", + "first_step": "Replay the seven-event identity and the sealed complete package.", + "blocked_by": "Independent review and five framework assumptions remain open." + } + ] +} diff --git a/research/p104-unread-path-resynthesis/VALIDATION.md b/research/p104-unread-path-resynthesis/VALIDATION.md new file mode 100644 index 0000000000..0904a528f6 --- /dev/null +++ b/research/p104-unread-path-resynthesis/VALIDATION.md @@ -0,0 +1,8 @@ +# Validation + +Python 3.12. The primary complete replay passed with --write. It regenerated +WORD.json.gz, WITNESS.json and RESULT.json. All source, operator, native, +caller, price, compiler, outer and rejection checks in verify.py ran. + +The final registered, committed-byte and sealed export checks are recorded +below after execution. Hosted CI and independent acceptance are separate. diff --git a/research/p104-unread-path-resynthesis/VERIFY.json b/research/p104-unread-path-resynthesis/VERIFY.json new file mode 100644 index 0000000000..988b054166 --- /dev/null +++ b/research/p104-unread-path-resynthesis/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": 600, + "checks": "Regenerate the path rewrite; check all input columns, native phases, complete cost and failure controls." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 600, + "checks": "Regenerate the path rewrite; check all input columns, native phases, complete cost and failure controls." + } + ] +} diff --git a/research/p104-unread-path-resynthesis/WITNESS.json 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+\[ +\Delta P_R=-5H_1-H_4+5H_5,\qquad +\Delta T_R=-4H_1+4H_5. +\] + +Its gain is `H1+H4−H5`, strictly positive for `0 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "348599999999253/350000000000000", + "fixed_halo_explicit_metadata_branch": "26950000000001/350000000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799999997009/1400000000000000", + "new_semantic_group_guard": "3/1400000000000" + }, + "margins": { + "boundary_algebraic_matrix": "765425651706253267391763/245000000000000000000000000", + "fused_gaussian": "765425651705159802175289/245000000000000000000000000", + "global_coordinate_router": "273366304181/87500000000000", + "group_bit_router": "382712825940079901087457/122500000000000000000000000", + "group_scans": "699999999999/700000000000", + "main_transform": "765425651531253267391763/245000000000000000000000000", + "microbox_face_corrections": 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"3/1400000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000000", + "union_tag_work_per_visit_fits_record": "3/1400000000000" + } + }, + "paid": { + "1": 41628, + "16": 416, + "2": 8208, + "24": 416, + "3": 8964, + "32": 416, + "4": 1782, + "40": 416, + "48": 416, + "5": 2916, + "56": 416, + "6": 162, + "64": 416, + "7": 108, + "72": 208 + }, + "paid_calls": 66888, + "previous_pr5802": "312336057/100000000000", + "productive_fields": 13444, + "query_shears": 15, + "rank_mass_surplus": 760, + "raw_ceiling": { + "derivative_upper": "-368004547164861935742362936408609606941810029632377908485755891/1569275433846670190958947355801916604025588861116008628224", + "interval": [ + "0", + "17/5000" + ] + }, + "raw_headroom": [ + "299687/50000000000000000", + "959/160000000000000" + ], + "raw_root_interval": [ + "156209316831687/50000000000000000", + "2499349069307/800000000000000" + ], + "relative_gain_percent": "41288032/1561680285", + "strictification": { + "alpha": { + "lower": "0.999999999998991159042549078461", + "upper": "0.999999999998991159042549078462" + }, + "cutoff": 16, + "delta": { + "lower": "0.951912788985453393366376508390", + "upper": "0.951912788985453393366376508391" + }, + "floor": 17, + "gamma": { + "lower": "0.975585774172635067187356074439", + "upper": "0.975585774172635067187356074440" + }, + "normalized_paid_upper": "1048576000976562501/1048576001073741824", + "power": 1024, + "reserve": "1/1000000000000", + "tail_block": 128, + "tail_decay": "125/128", + "tail_offset": "1/7", + "tested": "78104658391/25000000000000" + }, + "targets": { + "1": 324, + "145": 208, + "17": 416, + "2": 126, + "25": 416, + "3": 72, + "33": 416, + "4": 1926, + "41": 416, + "49": 416, + "5": 252, + "57": 416, + "65": 416, + "7": 162, + "73": 208, + "8": 324, + "9": 6930 + }, + "whole_idle_jobs": 3120 + }, + "delta": { + "helpers": { + "1": -6, + "4": 2, + "5": 6, + "8": -2 + }, + "paid": { + "1": -3, + "4": 1, + "5": 3 + } + }, + "fixed_contract_grid_optimum": { + "accepted_margin": [ + "25799237784018095798006296795183910842206069778194909403381/12259964326927110866866776217202473468949912977468817408000000000000", + "3302302436354316262144805989783540587802431539234948370961353/1569275433846670190958947355801916604025588861116008628224000000000000" + ], + "cap": "17/5000", + "derivative_upper": "-736009094327164435617549354859802318584324493733667377004241150850439699091/3138550867693340381917894711603833208051177722232017256448000000000000", + "grid": "1/100000000000000", + "largest_published_grid": "39052329133/12500000000000", + "largest_tested_grid": "78104658391/25000000000000", + "next_tested_grid": "62483726713/20000000000000", + "rejected_margin": [ + "-195871060919199761433772328589248798766437569834401224579047/627710173538668076383578942320766641610235544446403451289600000000000", + "-244838826148999701792215410736560998458019814094501546915829/784637716923335095479473677900958302012794430558004314112000000000000" + ], + "reserve": "1/1000000000000", + "scope": "Maximum on the 1e-14 grid for this exact profile, fixed reserve and tested gap. Different compiler parameters, words and BIT caps remain outside this claim.", + "tested_gap": "1/200000000000" + }, + "instructions": 25984, + "intermediate_local": { + "endpoint_coefficients": 636804, + "helpers": { + "1": 22, + "2": 7, + "3": 4, + "4": 107, + "5": 10, + "7": 9, + "8": 18, + "9": 385 + }, + "owned_fields": 28, + "owned_lifetimes": 30, + "paid": { + "1": 2231, + "2": 456, + "3": 498, + "4": 100, + "5": 157, + "6": 9, + "7": 6 + }, + "paid_rank_mass": 5918, + "peak_owned_fields": 13, + "public_inputs": 770, + "real_scalar_allowance": 225026 + }, + "limits": [ + "Five inherited framework assumptions remain.", + "The large uniform word and rounded multiplier are not materialized.", + "Author-side and agent checks are not independent human or kernel acceptance.", + "The selected frontier is unchanged." + ], + "local": { + "endpoint_coefficients": 638401, + "helpers": { + "1": 18, + "2": 7, + "3": 4, + "4": 107, + "5": 14, + "7": 9, + "8": 18, + "9": 385 + }, + 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b/research/p104-unread-path-resynthesis/local.py new file mode 100644 index 0000000000..b7be846b10 --- /dev/null +++ b/research/p104-unread-path-resynthesis/local.py @@ -0,0 +1,208 @@ +"""Check the complete P104 word with an independent helper inventory. + +Adapted from Ali Romman's PR5544/5545. David Arias supplied the word; +Cinna Davis supplied private reuse; Gareth Davidson supplied composition. +Prepared by Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import json +import sys + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] + +def need(ok, why): + if not ok: + raise ValueError(why) + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + +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 add(dst, src, q): + for k, v in tuple(src.items()): + value = dst.get(k, 0) + q*v + if value: + dst[k] = value + else: + dst.pop(k, None) + +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 replay(w): + public = w['public'] + owned = w.get('owned_fields', 8) + need(type(owned) is int and 8 <= owned <= 29, 'Owned inventory bound') + need(type(public) is int and 767 <= public <= 770, 'Public inventory bound') + need(len(w['initial']) == len(w['final']) == public, 'Public boundary size') + need(len(w['program']) < 26000, 'Fixed operation bound') + frames = [span(x) for x in w['frames']] + rows = [{r:Q(1)} for r in range(public+owned)] + current = list(w['initial']) + [None]*owned + paid, scalar, live_owned, peak = Counter(), 0, set(), 0 + lifetimes = 0 + for e in w['program']: + op, r = e[:2] + need(0 <= r < public+owned, 'Role index') + if op == 'MOVE': + _, r, a, b, private = e + need(current[r] == a and (r in live_owned) == private, 'Transport source and ownership') + need(frames[b] < frames[a] if private else frames[a] < frames[b], 'Nested chronological transport') + paid[abs(len(w['frames'][b])-len(w['frames'][a]))] += 1 + current[r] = b + elif op == 'INIT': + need(r >= public and r not in live_owned, 'Owned initialization') + live_owned.add(r) + lifetimes += 1 + peak = max(peak, len(live_owned)) + rows[r] = {} + current[r] = e[2] + scalar += 2 + elif op == 'CLEAR': + need(r in live_owned and current[r] == e[2], 'Owned erasure at declared frame') + rows[r] = {} + current[r] = None + live_owned.remove(r) + scalar += 2 + else: + q, f = Q(e[-2]), e[-1] + need(q and current[r] == f, 'Scalar destination and coefficient') + n, d = abs(q.numerator), q.denominator + need(d & (d-1) == 0, 'Dyadic scalar coefficient') + need(abs(q)+1 < 2**16, 'Fixed scalar growth bound') + if op == 'SCALE': + need(n & (n-1) == 0, 'Dyadic unit SCALE') + rows[r] = {k:q*x for k,x in rows[r].items()} + scalar += 2*(abs(n.bit_length()-d.bit_length()) + int(q < 0)) + else: + s = e[2] + need(s != r and 0 <= s < public+owned and current[s] == f, 'Common scalar chart') + if op == 'COPY': + need(r in live_owned and not rows[r], 'COPY into cleared owned field') + rows[r] = {k:q*x for k,x in rows[s].items()} + else: + need(op == 'ADD', 'Scalar opcode') + add(rows[r], rows[s], q) + scalar += 2*(3+n.bit_length()-1+n.bit_count()+d.bit_length()-1) + need(not live_owned and 0 < peak <= 13 and current[:public] == w['final'], 'All public and owned exits') + live = set(w['live']) + for r,row in enumerate(rows): + expected = {r:Q(1)} if r < public else {} + if r-112 in live: + expected[r-112] = Q(1) + need(row == expected, 'All public and owned rows') + main = live | {r+112 for r in live} + helpers = Counter(len(w['frames'][w['final'][r]])-len(w['frames'][w['initial'][r]]) for r in range(public) if r not in main) + need(len(live) == len(w['ports']) == 104 and len(main) == 208 and min(helpers) > 0, 'Independent productive inputs') + return {'paid':dict(paid), 'helpers':dict(helpers), 'public_inputs':public, 'owned_fields':owned, 'owned_lifetimes':lifetimes, + 'peak_owned_fields':peak, 'real_scalar_allowance':scalar, 'endpoint_coefficients':(public+owned)*(public+owned), + 'paid_rank_mass':sum(r*count for r,count in paid.items())} + +def reverse_columns(w): + """Check the transpose with dense dyadic rows and the reverse chronology.""" + public = w['public'] + n = public+w.get('owned_fields', 8) + rows = [[int(i == j) for j in range(n)] for i in range(n)] + exponents = [0]*n + for e in reversed(w['program']): + op,r = e[:2] + if op == 'MOVE': + continue + if op in ('INIT','CLEAR'): + rows[r] = [0]*n + exponents[r] = 0 + continue + q = Q(e[-2]) + qe = q.denominator.bit_length()-1 + if op == 'SCALE': + rows[r] = [q.numerator*x for x in rows[r]] + exponents[r] += qe + else: + s = e[2] + level = max(exponents[s], exponents[r]+qe) + a, b = 1 << (level-exponents[s]), q.numerator << (level-exponents[r]-qe) + rows[s] = [a*x+b*y for x,y in zip(rows[s],rows[r])] + exponents[s] = level + if op == 'COPY': + rows[r] = [0]*n + exponents[r] = 0 + r = s + while exponents[r] and not any(x & 1 for x in rows[r]): + rows[r] = [x//2 for x in rows[r]] + exponents[r] -= 1 + for r,row in enumerate(rows): + expected = [0]*n + if r < public: + expected[r] = 1 << exponents[r] + if r in w['live']: + expected[r+112] = 1 << exponents[r] + need(row == expected, 'Independent dense transpose columns') + return {'columns':n, 'coefficients':n*n, 'arithmetic':'Dense integer rows with binary denominators; reverse chronology'} + +def native(w): + n = w['public'] + C = load(ROOT/'research/p104-native-channel/vendor/clifford_exact.py', 'p104_productive_clifford') + V = load(ROOT/'research/p104-native-channel/vendor/native_verify.py', 'p104_productive_gaussian') + @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-unread-path-resynthesis/pricing.py b/research/p104-unread-path-resynthesis/pricing.py new file mode 100644 index 0000000000..f288269461 --- /dev/null +++ b/research/p104-unread-path-resynthesis/pricing.py @@ -0,0 +1,184 @@ +"""Complete mixed-target price, compiler and outer transfer. + +The interval and compiler bounds follow zxv and Cao Yifan. The productive +recursion is by Jacob Alan Sussman. The controller is by Cinna Davis. +Adapted from Ali Romman's PR5544/5545 for the two coupled contact changes. +Successor choices were prepared for thu-nmrc with OpenAI Codex assistance. +Helper-subspace targets were added by Ali Romman with OpenAI Codex assistance. +The source commuting-contact construction is by Pierre-Loic Doulcet (hexapode) in PR5565. +The source coupled-frame change is by Ali Romman with OpenAI Codex in PR5601. +Five fixed boundary relations are from Ali Romman's PR5602. +The shared and delayed relays are from flyingviper's PR5605 and PR5612. The preparation is from +Scratch-net's PR5606. Their costs and target debit are included. +Ali Romman's complete caller/price proof and all predecessor credit are retained. +The paid A2 change is from zxv PR5643. The three helper relations are from +Ali Romman PR5644. The four-gate change is by Ali Romman with Codex assistance. +The four interior basis changes are by Ali Romman with Codex assistance. +Paid intermediate meetings: Ali Romman with substantial OpenAI Codex assistance. +Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +import local as L + +KAPPA, TESTED = Q('0.00312476680'), Q('0.003124766805') +PREVIOUS = Q('0.00312418633064') + + +def encode(x): + if isinstance(x,Q): + return str(x) + if isinstance(x,dict): + return {str(k):encode(v) for k,v in x.items()} + if isinstance(x,(list,tuple)): + return [encode(v) for v in x] + return x + + +def assemble(local, native, word, physical): + paid, targets = Counter(), Counter() + counts = Counter() + L.need(local['helpers'] == native['helpers'], 'Every productive helper has a native target') + for e in word['physical_events']: + counts[e[0]] += 1 + if e[0] == 'LOCAL': + L.need(e[3] is False, 'Every source invocation is forward') + paid.update(local['paid']) + targets.update(local['helpers']) + elif e[0] == 'QUERY_SHEAR': + paid[1] += 104 + elif e[0] == 'IDLE': + paid[8*len(e[2])] += 208 + main = Counter() + idle = Counter({8*len(e[2]):0 for e in word['physical_events'] if e[0] == 'IDLE'}) + for e in word['physical_events']: + if e[0] == 'IDLE': + idle[8*len(e[2])] += 208 + L.need(idle == physical['whole_idle_jobs'], 'Every whole idle has a native Gaussian and full rank') + for term in word['diagonal']: + main[1+8*sum(term[1:])] += 104 + L.need(main == physical['main_targets'], 'Every main target has its full native phase') + targets.update(main) + L.need(counts['LOCAL'] == 18 and counts['QUERY_SHEAR'] == counts['IDLE'] == 15, 'Complete call census') + # Recount by the two path lengths, without using emitted main diagonals. + second_t = Counter({r:18*n for r,n in local['helpers'].items()}) + second_p = Counter({r:18*n for r,n in local['paid'].items()}) + second_t[145] += 208 + second_p[1] += 15*104 + for length in (7,8): + for j in range(1,length+1): + second_t[1+8*(j+1)] += 208 + second_p[8*(j+1)] += 208 + L.need((targets,paid) == (second_t,second_p), 'Independent full invoice') + L.need(max(targets) == 145 and max(paid) == 72, 'Maximum recursive ranks') + L.need(sum(targets.values()) == 13444 and sum(paid.values()) == 66870, 'Complete field and call counts') + L.need(sum(r*n for r,n in targets.items())-sum(r*n for r,n in paid.items()) == 760, 'Complete rank surplus') + return targets,paid,counts + + +def run(local,native,word,physical): + T,P,counts = assemble(local,native,word,physical) + E = L.load(L.ROOT/'research/higher-moment-strictification/verify.py','p104_productive_intervals') + other = L.load(L.ROOT/'research/kappa-rebuild/architecture/mixed_target_probe.py','p104_productive_second_intervals') + def margin(k): + a,b = E.moment(T,1-k), E.moment(P,1-k) + return a[0]-b[1],a[1]-b[0] + lo,hi,grid = 0,10**12,10**14 + while hi-lo > 1: + m=(lo+hi)//2 + if margin(Q(m,grid))[0] > 0: + lo=m + else: + hi=m + lower,upper = Q(lo,grid),Q(hi,grid) + signed = Counter(T) + signed.subtract(P) + cap = Q('.0034') + derivative_upper = Q(0) + for rank, count in signed.items(): + logarithm = E.log_bounds(rank) + low = E.mul(E.power(rank, 1-cap), logarithm)[0] + high = rank*logarithm[1] + derivative_upper -= count*(low if count >= 0 else high) + L.need(derivative_upper < 0, 'Unique raw crossing below the retained BIT cap') + L.need(margin(lower)[0] > 0 and margin(upper)[1] < 0, 'Strict rational crossing enclosure') + L.need(PREVIOUS < KAPPA < TESTED < lower and margin(PREVIOUS)[0] > 0, 'Changed complete bill improves the source claim') + t,u,v,c,b = 1-TESTED,Q(1,7),1024,16,17 + target,paid = E.moment(T,t),E.moment(P,t) + tl,th = other.moment(T,TESTED) + pl,ph = other.moment(P,TESTED) + L.need(tl > ph and max(tl,target[0]) <= min(th,target[1]) and max(pl,paid[0]) <= min(ph,paid[1]), 'Two exact moment engines') + alpha = E.divide(paid,target) + gamma = E.divide(E.moment(P,t+u),E.mul(E.power(c,u),target)) + delta = E.divide((Q(sum(T.values())*b),)*2,E.mul(E.power(c,TESTED),target)) + reserve,decay = Q(1,10**12),Q(125,128) + L.need(alpha[1] < 1-reserve and gamma[1] < decay and delta[1] < decay, 'All three charged tail ratios') + L.need(decay**128 < Q(1,16), 'Both tail decay blocks') + normalized = 1/(1+v*reserve)+Q(4,2**32) + L.need(normalized < 1 and c**64 < b**63, 'Full completion, splitting and rounding charges') + theta,power = Q(63,64),1024 + eta = E.scale(E.power(145,-v*TESTED),t) + L.need(2*(c**v)**64 <= (145**v)**63 and eta[0] > theta**power, 'Shifted exits and complement capacity') + L.need(E.power(145,v*TESTED)[1] < 2**power, 'Compiler initial range') + gap = (TESTED-KAPPA)/7 + L.need(gap.numerator == 1, 'Exact compiler integer grid') + step = gap.denominator + def wins(j): + return (step*j+1)**power < 2**j + left,right=1,2 + while not wins(right): + left,right=right,2*right + while right-left > 1: + m=(left+right)//2 + if wins(m): + right=m + else: + left=m + H=step*right + L.need(H > 8*v and wins(right) and not wins(right-1), 'Finite uniform threshold with predecessor rejection') + local_routes = (sum(local['paid'].values())+native['helper_normalizers']+native['main_adapters']+4*104+4*local['owned_lifetimes'])*1000 + L.need(local['real_scalar_allowance']+local_routes < 10**7, 'Every local scalar, route and owned operation is funded') + boundary = sum(len(word['boundaries'][side+'_program']) for side in ('left','right')) + raw = 18*10**7 + 15*1664 + 32*104*(len(word['physical_events'])+boundary) + raw += 32*104*(26+1000) + L.need(raw < 10**9, 'Complete nonrecursive raw bound') + bit = L.read(L.ROOT/'research/query-thinned-controllers/RESULT.json')['ordinary_BIT'] + atom = Q(bit['atom']) + ordinary=(1-atom)*Q(bit['after_cover'])+atom*Q('.0000384599') + admitted=Q(bit['admitted']) + L.need(atom > ordinary > admitted > TESTED and atom < 1-ordinary, 'Retained BIT admission and stock') + outer_module=L.load(L.ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py','p104_productive_outer') + params={'kappa':KAPPA,'tested_saving':TESTED,'complex_uniform_saving':KAPPA+6*gap, + 'b':KAPPA+5*gap,'a':KAPPA+4*gap,'q':KAPPA+3*gap,'bit_saving':admitted, + 'epsilon':1-gap,'beta':1-3*gap,'r0':gap/10,'stop':gap,'layout':gap,'d':gap} + outer=outer_module.ledger(params) + outer['functional_checks']['actual_new_BIT_stock_sublinear']=params['beta']*(1-atom) + L.need(len(outer['strict_checks']) == 54 and len(outer['functional_checks']) == 4, 'Complete outer predicate inventory') + L.need(all(x > 0 for key in ('strict_checks','functional_checks') for x in outer[key].values()), 'All outer inequalities strict') + wrong_cutoff = E.divide((Q(sum(T.values())*21),)*2,E.mul(E.power(20,TESTED),target)) + L.need(wrong_cutoff[0] > 1, 'Old cutoff fails with this helper inventory') + old_completion = E.divide((Q(sum(T.values())*18),)*2,E.mul(E.power(17,TESTED),target)) + L.need(old_completion[0] > Q(39,40), 'PR5718 completion-tail bound fails with the new target count') + old_offset = E.divide(E.moment(P,t+Q(1,5)),E.mul(E.power(16,Q(1,5)),target)) + L.need(old_offset[0] > decay, 'The old tail offset fails at the new cutoff') + bad=outer_module.ledger(dict(params,bit_saving=Q('.0027'))) + L.need(any(x <= 0 for x in bad['strict_checks'].values()), 'Insufficient BIT contract rejected') + return encode({'kappa':KAPPA,'kappa_decimal':'0.00312476680','previous_pr5811':PREVIOUS,'gain':KAPPA-PREVIOUS, + 'relative_gain_percent':100*(KAPPA/PREVIOUS-1),'raw_root_interval':[lower,upper], + 'raw_headroom':[lower-KAPPA,upper-KAPPA], + 'raw_ceiling':{'interval':[Q(0),cap],'derivative_upper':derivative_upper},'margin_at_previous':E.display(margin(PREVIOUS)), + 'targets':T,'paid':P,'productive_fields':sum(T.values()),'paid_calls':sum(P.values()), + 'rank_mass_surplus':760,'full_forward_calls':18,'query_shears':15,'whole_idle_jobs':3120, + 'strictification':{'tested':TESTED,'power':v,'cutoff':c,'floor':b,'tail_offset':u,'reserve':reserve,'tail_decay':decay,'tail_block':128, + 'alpha':E.display(alpha),'gamma':E.display(gamma),'delta':E.display(delta),'normalized_paid_upper':normalized}, + 'compiler':{'theta':theta,'logarithm_power':power,'eta':E.display(eta),'gap':gap,'H':H,'N':'2^'+str(H), + 'integer_test_exponent':right,'uniform_saving':params['complex_uniform_saving'],'word_materialized':False}, + 'nonrecursive':{'local_scalar':local['real_scalar_allowance'],'local_routes':local_routes, + 'raw_scalar_upper':raw,'raw_budget':10**9,'peak_owned_fields':local['peak_owned_fields'], + 'fixed_scalar_growth_bound':'At most 2^(16*26000) before native factors; a declared constant, not an attained norm.', + 'local_paid_rank_mass':local['paid_rank_mass'], + 'tensor_native_growth_bound':'Each rank-r Gaussian has row l1 norm at most 2^(rf); use local_paid_rank_mass for the whole word.'}, + 'ordinary_BIT':bit,'outer':outer, + 'negative_controls':{'source_completion':'Rejected at cutoff17, floor18 and decay39/40', + 'source_offset':'Rejected at cutoff16 with tail offset1/5', + 'old_cutoff':'Rejected by completion-tail ratio greater than one','old_BIT':'Rejected by outer inequalities'}}) diff --git a/research/p104-unread-path-resynthesis/sources.py b/research/p104-unread-path-resynthesis/sources.py new file mode 100644 index 0000000000..3b4c60838a --- /dev/null +++ b/research/p104-unread-path-resynthesis/sources.py @@ -0,0 +1,64 @@ +"""Authenticate and open the retained source closure. + +Ali Romman with OpenAI Codex assistance. Apache-2.0. +""" +from contextlib import contextmanager +from hashlib import sha1, sha256 +from pathlib import Path, PurePosixPath +import importlib.util +import json +import sys +import tarfile +import tempfile + +HERE = Path(__file__).resolve().parent + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +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 authenticate(raw, pin): + need(len(raw) == pin['size'], 'Exact source size: '+pin['path']) + need(sha256(raw).hexdigest() == pin['sha256'], 'Exact source SHA256: '+pin['path']) + need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() == pin['git_blob'], + 'Exact source Git blob: '+pin['path']) + + +@contextmanager +def sources(): + pins = json.loads((HERE/'SOURCES.json').read_bytes()) + for pin in pins['direct_sources']: + authenticate((HERE/pin['local_path']).read_bytes(), pin) + archive = pins['source_archive'] + path = HERE/archive['local_path'] + need(sha256(path.read_bytes()).hexdigest() == archive['sha256'], 'Exact source archive') + members = {p['path']: p for p in pins['archived_files']} + need(len(members) == len(pins['archived_files']) == 19, 'Exact source inventory') + with tempfile.TemporaryDirectory(prefix='p104-transposed-source-') as directory: + root = Path(directory) + with tarfile.open(path, 'r:') as bundle: + seen = set() + for member in bundle.getmembers(): + name = PurePosixPath(member.name) + need(member.isfile() and not name.is_absolute() and '..' not in name.parts + and '\\' not in member.name and ':' not in member.name, + 'Regular relative source file') + need(member.name in members and member.name not in seen, 'Unique declared source file') + seen.add(member.name) + raw = bundle.extractfile(member).read() + authenticate(raw, members[member.name]) + target = root.joinpath(*name.parts) + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes(raw) + need(seen == set(members), 'Complete source archive') + yield root/archive['package'] diff --git a/research/p104-unread-path-resynthesis/verify.py b/research/p104-unread-path-resynthesis/verify.py new file mode 100644 index 0000000000..2a4d918913 --- /dev/null +++ b/research/p104-unread-path-resynthesis/verify.py @@ -0,0 +1,154 @@ +"""Check the exact path rewrite and its complete conditional price. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +All predecessor notices are retained in NOTICE and the source archive. +""" +import argparse +from collections import Counter +from contextlib import ExitStack +from copy import deepcopy +import gzip +import json +from pathlib import Path +import sys +import tempfile + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +from sources import sources, load, need, authenticate +from construct import construct + +STATUS = 'PASS_P104_UNREAD_PATH_KAPPA_00312476680' + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + + +def declared_copy(origin, target, edits): + text = origin.read_text(encoding='utf-8') + for old, new in read(edits): + need(text.count(old) == 1, 'Unique declared source edit') + text = text.replace(old, new) + need(text == target.read_text(encoding='utf-8'), 'Only declared source edits') + + +def delta(after, before): + value = Counter(after) + value.subtract(before) + return {str(r): n for r, n in sorted(value.items()) if n} + + +def reject(action): + try: + action() + except ValueError as error: + return str(error) + raise ValueError('Invalid candidate accepted') + + +def run(): + with ExitStack() as contexts: + parent = contexts.enter_context(sources()) + cursor = parent + for depth in range(7): + module = load(cursor/'sources.py', 'unread_path_source_'+str(depth)) + cursor, root = contexts.enter_context(module.sources()) + declared_copy(parent/'local.py', HERE/'local.py', HERE/'LOCAL-EDITS.json') + declared_copy(parent/'pricing.py', HERE/'pricing.py', HERE/'PRICING-EDITS.json') + L = load(HERE/'local.py', 'local') + L.ROOT = root + source = read(HERE/'inputs/pr5811-WORD.json.gz') + plan = read(HERE/'PLAN.json') + word, witness = construct(source, plan) + baseline, local = L.replay(source), L.replay(word) + need(delta(local['paid'], baseline['paid']) == {'1': -1, '4': -1, '5': 1}, 'Exact paid gain') + need(local['helpers'] == baseline['helpers'], 'Every productive target is retained') + need((local['public_inputs'], local['owned_fields'], local['owned_lifetimes'], + local['peak_owned_fields']) == (770, 29, 31, 13), 'Exact storage inventory') + need(local['public_inputs']+local['owned_fields'] < 1000, 'All arrays fit the retained slot bound') + need(local['real_scalar_allowance']-baseline['real_scalar_allowance'] == 8, + 'The additional ordinary ADD is charged') + need(local['paid_rank_mass'] == baseline['paid_rank_mass'] == 5934, 'Unchanged local rank mass') + columns = L.reverse_columns(word) + print('PASS all input columns, separate transpose, storage and exact paid delta', flush=True) + native = L.native(word) + C = load(root/'research/p104-productive-controller/caller.py', 'unread_path_caller') + caller = C.construct() + need(caller == read(root/'research/p104-productive-controller/CONTROLLER.json'), 'Exact physical caller') + physical = C.physical(caller, word) + print('PASS native maps, absolute phases, adapters and complete physical caller', flush=True) + P = load(HERE/'pricing.py', 'unread_path_price') + price = P.run(local, native, caller, physical) + E = L.load(root/'research/higher-moment-strictification/verify.py', 'unread_path_source_price') + old_p = {int(r): n for r, n in price['paid'].items()} + old_p[1] += 18 + old_p[4] += 18 + old_p[5] -= 18 + old_t = {int(r): n for r, n in price['targets'].items()} + margin = E.moment(old_t, 1-P.KAPPA)[1]-E.moment(old_p, 1-P.KAPPA)[0] + need(margin < 0, 'The old full profile fails at the new claim') + print('PASS both rational engines, completion, compiler and all outer costs', flush=True) + + controls = C.controls(caller) + at = plan['start'] + bad = deepcopy(word) + bad['program'].pop(at) + controls['missing_early_observation'] = reject(lambda: L.replay(bad)) + bad = deepcopy(word) + bad['program'][at+2][-2] = '-1' + controls['wrong_late_sign'] = reject(lambda: L.replay(bad)) + bad = deepcopy(word) + bad['program'].pop(at+1) + controls['missing_direct_query'] = reject(lambda: L.replay(bad)) + bad = deepcopy(word) + bad['program'].insert(at+7, bad['program'].pop(at)) + controls['late_use_of_old_value'] = reject(lambda: L.replay(bad)) + bad = deepcopy(source) + bad['program'][at+3][-2] = '2' + controls['changed_source_interval'] = reject(lambda: construct(bad, plan)) + bad = deepcopy(local) + bad['paid'][1] -= 1 + controls['unpaid_query'] = reject(lambda: P.assemble(bad, native, caller, physical)) + bad = deepcopy(local) + bad['helpers'][9] += 1 + controls['extra_target_credit'] = reject(lambda: P.assemble(bad, native, caller, physical)) + for pin in read(HERE/'SOURCES.json')['direct_sources']: + raw = (HERE/pin['local_path']).read_bytes() + controls['damaged_source_'+Path(pin['path']).name] = reject( + lambda raw=raw, pin=pin: authenticate(bytes([raw[0]^1])+raw[1:], pin)) + + result = dict(status=STATUS, source_commit='33d7760d0a6fea6394aefd014eea68f0af02a92e', + source_local=baseline, local=local, paid_delta={'1': -1, '4': -1, '5': 1}, + target_delta={}, separate_columns=columns, native=native, + physical_caller=physical, complete_cost=price, + source_margin_upper_at_new_claim=margin, controls=controls, + limits=['All five inherited framework assumptions remain.', + 'This is a small gain and does not meet the donor large-improvement target.', + 'The large uniform word and rounded multiplier are not materialized.', + 'Author checks do not establish independent acceptance.', + 'The selected frontier is unchanged.']) + return P.encode(result), witness, word + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--write', action='store_true') + args = parser.parse_args() + with tempfile.TemporaryDirectory(prefix='p104-unread-path-bytecode-') as cache: + sys.pycache_prefix = cache + result, witness, word = run() + for name, value in (('RESULT.json', result), ('WITNESS.json', witness), ('WORD.json.gz', word)): + path = HERE/name + if args.write: + raw = (json.dumps(value, sort_keys=True, indent=2)+'\n').encode() + path.write_bytes(gzip.compress(raw, mtime=0) if name.endswith('.gz') else raw) + else: + need(read(path) == value, 'Exact retained output: '+name) + print(STATUS, flush=True) + + +if __name__ == '__main__': + main() From 05cd36e5af06d7a3790e30ce3f449fa89b853768 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Mon, 26 Oct 2026 22:17:02 -0500 Subject: [PATCH 2/2] Record sealed replay and retained predecessor notices --- research/p104-unread-path-resynthesis/NOTICE | 96 +++++++++++++++++++ .../p104-unread-path-resynthesis/README.md | 2 +- .../VALIDATION.md | 32 ++++++- 3 files changed, 125 insertions(+), 5 deletions(-) diff --git a/research/p104-unread-path-resynthesis/NOTICE b/research/p104-unread-path-resynthesis/NOTICE index 25bde9a679..8fc3f76cc0 100644 --- a/research/p104-unread-path-resynthesis/NOTICE +++ b/research/p104-unread-path-resynthesis/NOTICE @@ -15,3 +15,99 @@ Davidson, Jacob Alan Sussman, zxv, Cao Yifan, Pierre-Loic Doulcet, thu-nmrc, Scratch-net and all native/helper/controller/compiler/geometry/analytic predecessors. The exact PR5786 source archive and its nested notices remain. This package does not claim any predecessor construction as new. + +Exact PR5811 vendor/accumulated/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +Accumulated native updates +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. The same assistant made the construction and the author checks. + +Concurrent scope: Discussion5125 now tests retained copies in the transposed +supplier. That route uses the same source/destination duality. This package +claims the three fixed forward-supplier groups and their complete result, +not the elementary accumulation identity or the broader transposed search. + +Exact source: PR5786 at 6b936acd68a7e0f9062037900f0fe9bc4b6fdd25. +The complete predecessor notice follows unchanged. + +Asynchronous helper hubs +New work: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. + +Retained native copies from PR5774 at 7d6ec0cdef31d0c37b7d2563e709979caa0d5eae. +All prior credit follows unchanged. + +Paid intermediate meetings and collective helper splits. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. All checks are author-side calculations. + +The complete PR5718 notice follows unchanged. + +Four paid interior public-basis changes. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. + +The following exact notice is retained from PR5660. + +New helper-subspace construction, proof and replay: +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The same assistant performed the construction and author-side checks. + +Retained contributions: +flyingviper: PR5605 shared relay, PR5612 delayed relay, and the PR5608/PR5613 +relay/split compositions. +Scratch-net: PR5606 prepared-helper identities and target debit. +Pierre-Loic Doulcet (hexapode): PR5565 commuting-contact construction, used as the exact source. +Ali Romman: PR5602 fixed boundary relations, PR5601 three-contact frame +change, PR5580 contact step, +and PR5544/5545 complete P104 caller. +Joel Pulikkan (GamingPuzzled): PR5569 priced helper handoff. +DreamingOfClouds: PR5561 free helper endpoints and PR5568 search tools. +thu-nmrc: PR5551 contact improvements. +Gareth Davidson (bitplane): PR2305 source composition. +David Arias: PR2152 coalesced P104 word. +Cinna Davis: PR2219 private reuse and the controller lineage. +Jacob Alan Sussman: productive mixed-target recursion. +zxv and Cao Yifan: exact intervals, compiler and native/pricing lineage. +GamingPuzzled: PR5472 successor handoff, a predecessor to the split concept. +The retained source notices preserve earlier geometry, BIT and analytic credit. + +The elementary rank-one basis identity is not claimed as a new general +linear-algebra theorem. The contribution is its explicit independent-target +use on this P104 word and the complete conditional kappa improvement. + +New contribution: Ali Romman, with substantial OpenAI Codex assistance. +The four-gate source-version rewrite composes zxv PR5643 and Ali Romman PR5644. +The A2 method retains Chris R/Clear1nsight PR3998 and ToikY PR4019 credit. +The compensated triangle method retains Cinna Davis PR4692 credit. +No subagents were used for this contribution. Apache-2.0. + +Concurrent PR5650 by zxv publishes the PR5643/PR5644 composition. PR5651 by +Ali Romman corroborates it. This package credits that released composition +and contributes the further four-gate placement. + +New work: distributed scalar updates on an unobserved public field interval, the exact witness and complete conditional price. Prepared for Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. The source archive retains all predecessor notices. + +Two-boundary main-assisted helper split and early cleanup: flyingviper with substantial +OpenAI Codex assistance, including independent AI review agents. Apache-2.0. + +Retained native-copy construction +Prepared by Ali Romman with substantial OpenAI Codex assistance. No subagents. +The paid-meeting source is PR5751 by Ali Romman with OpenAI Codex assistance. +The dimension-four span [265,194,164,75] is from Joel Pulikkan / GamingPuzzled +PR5739, with Claude Opus 5.5 assistance. The R22 block edits are not included. +The retained-copy mechanism, exact constructor, source-specific verification, +new price and proof are the contribution of this package. Apache-2.0. + +Exact PR5811 vendor/blocks/NOTICE follows. Source head: +33d7760d0a6fea6394aefd014eea68f0af02a92e + +The second block is PR5796 at4b30391e633ba0c7c674f03586ae97d443e9bc9c, by Ali Romman with substantial OpenAI Codex assistance, following Joel Pulikkan/GamingPuzzled R22. Exact notice, plan, proof and source words are retained in source/SECOND-* unchanged. + +The final immediate source is PR5786 asynchronous helper hubs by Ali Romman with substantial OpenAI Codex assistance. Its three temporal helper splits and complete completion parameters are retained and credited. The earlier PR5774-only composition is a superseded checkpoint, not a separate contribution. + +New complete retained-copy and R22 composition: Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. + +The thirteen retained native conversions and changed helper targets are by Ali Romman with OpenAI Codex assistance in PR5774. The R22 block and rank-four basis are by Joel Pulikkan (GamingPuzzled), with Claude Opus5.5 assistance, in PR5739/5756. The complete source archive and R22 notice remain unchanged. + +The construction retains Ali Romman PR5751 paid intermediate meetings, flyingviper PR5718 boundary splits, Cinna Davis's productive controller, Jacob Alan Sussman's productive recursion, zxv and Cao Yifan's interval/compiler line, and every P104/native/BIT predecessor in the source notices. The source engines are reused under exact byte bindings, not claimed as new implementations. diff --git a/research/p104-unread-path-resynthesis/README.md b/research/p104-unread-path-resynthesis/README.md index 66489f747b..e663d06944 100644 --- a/research/p104-unread-path-resynthesis/README.md +++ b/research/p104-unread-path-resynthesis/README.md @@ -68,7 +68,7 @@ Codex assistance. No subagents. Apache-2.0. The [canonical investigation](https://github.com/CrocSwap/integer-mult-bounds/discussions/5125#discussioncomment-19154639) records the exact source, region and hypotheses. The October 27 snapshot -through 02:39 UTC covers 370 open PRs and 5225 Discussion records, with +through 03:15 UTC covers 376 open PRs and 5236 Discussion records, with complete pagination. Sparse local notes and unpublished work remain outside that coverage. The role695 interval is separate from the released role92 step and the active mixed-payload, helper-retirement and variable-caller diff --git a/research/p104-unread-path-resynthesis/VALIDATION.md b/research/p104-unread-path-resynthesis/VALIDATION.md index 0904a528f6..1a3fa30e39 100644 --- a/research/p104-unread-path-resynthesis/VALIDATION.md +++ b/research/p104-unread-path-resynthesis/VALIDATION.md @@ -1,8 +1,32 @@ # Validation Python 3.12. The primary complete replay passed with --write. It regenerated -WORD.json.gz, WITNESS.json and RESULT.json. All source, operator, native, -caller, price, compiler, outer and rejection checks in verify.py ran. +WORD.json.gz, WITNESS.json and RESULT.json. The registered normal and optimized +commands also passed. Every mathematical check and rejection control in +verify.py ran in each mode. -The final registered, committed-byte and sealed export checks are recorded -below after execution. Hosted CI and independent acceptance are separate. +```sh +python3.12 -B scripts/research_package.py --package research/p104-unread-path-resynthesis +python3.12 -B scripts/check_research_commit.py --package research/p104-unread-path-resynthesis --check-modes +python3.12 -B scripts/export_research_package.py export --package research/p104-unread-path-resynthesis --output /tmp/p104-unread-path-export.tar +python3.12 -B scripts/export_research_package.py check --check-inputs /tmp/p104-unread-path-export.tar +``` + +The scientific commit is 92e5b3dacbcadd585e68e6fc7b63665471513784. Its +23 package files pass the committed-byte and mode check. The official +export and input-integrity checks pass. + +A separate read-only, Git-free export passed under -I -O -B with empty PATH +in 136.953 seconds. All 24 exported files, including the export manifest, +kept their bytes and modes. Its archive SHA256 is +`e09abfb69287950597fa024f68e256232929dc485d2119eae5bc10447fb22acc`. +This run checked the actual complete operator, native, physical caller, +price, compiler and outer calculation. It did not only inspect saved PASS +text. The publication update changes this report, the overlap timestamp +and attribution text; the complete runtime and all mathematical inputs +and receipts are unchanged. + +Full-history ancestry mode was not run in the shallow checkout. Hosted +scientific CI and independent human acceptance are separate. The shared +priority-8 assignment-test failure is known from predecessor PRs; this +package does not modify the shared tests or claim that hosted replay passed.

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Apache-2.0. +""" +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +import json +from sources import need + + +def digest(value): + return sha256(json.dumps(value, sort_keys=True, separators=(',', ':')).encode()).hexdigest() + + +def transfer(events, roles): + """Compute the transfer on arbitrary values at the four entry fields.""" + rows = {r: [Q(r == s) for s in roles] for r in roles} + for e in events: + if e[0] == 'MOVE': + continue + need(e[0] == 'ADD', 'The local identity uses only ADD and MOVE') + _, r, s, q, _ = e + rows[r] = [a+Q(q)*b for a, b in zip(rows[r], rows[s])] + return [[str(v) for v in rows[r]] for r in roles] + + +def construct(source, plan): + old = [['MOVE', 773, 1031, 597, True], ['ADD', 709, 773, '1', 597], + ['MOVE', 733, 3, 597, False], ['ADD', 733, 773, '1', 597], + ['MOVE', 695, 3, 597, False], ['ADD', 695, 733, '1', 597], + ['MOVE', 695, 597, 1031, False]] + new = [['ADD', 695, 733, '1', 3], ['MOVE', 695, 3, 1031, False], + ['ADD', 695, 773, '1', 1031]] + old[:4] + need(plan == {'start': 13815, 'old': old, 'new': new}, 'Exact seven-event plan') + program = source['program'] + hits = [i for i in range(len(program)-len(old)+1) if program[i:i+len(old)] == old] + need(hits == [plan['start']], 'One exact source interval') + roles = [695, 709, 733, 773] + matrix = transfer(old, roles) + need(matrix == transfer(new, roles), 'All coefficients of the four-field transfer') + word = deepcopy(source) + word['program'][plan['start']:plan['start']+len(old)] = deepcopy(new) + need(word['initial'] == source['initial'] and word['final'] == source['final'], + 'Every public boundary is unchanged') + owned = lambda w: [e for e in w['program'] if e[1] >= w['public']] + need(owned(word) == owned(source), 'Every owned event is unchanged') + need(len(word['program']) == len(source['program']) == 25984, 'Fixed event count') + return word, {'start': plan['start'], 'roles': roles, 'transfer': matrix, + 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