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"native_wrappers": 448, + "quarter_ADD": 896, + "scalar_allowance": 26164, + "unit_ADD": 1820 + }, + "word_events": 3713 +} diff --git a/research/qq16-sequential-recovery/LEDGER.json b/research/qq16-sequential-recovery/LEDGER.json new file mode 100644 index 0000000000..b2e493e44d --- /dev/null +++ b/research/qq16-sequential-recovery/LEDGER.json @@ -0,0 +1,308 @@ +{ + "comparison": { + "complete_literal_invoices": { + "PR3985": { + "CLEAR": 536, + "H1_children": 224, + "cover_maps": 352, + "native_wrappers": 448, + "private_peak": 16, + "quarter_ADD": 896, + "scalar_allowance": 27184, + "unit_ADD": 1920, + "word_events": 3935 + }, + "PR4015": { + "CLEAR": 416, + "H1_children": 224, + "cover_maps": 352, + "native_wrappers": 448, + "private_peak": 16, + "quarter_ADD": 896, + "scalar_allowance": 26944, + "unit_ADD": 1920, + "word_events": 3813 + }, + "candidate": { + "CLEAR": 416, + "H1_children": 224, + "cover_maps": 352, + "native_wrappers": 448, + "private_peak": 16, + "quarter_ADD": 896, + "scalar_allowance": 26144, + "unit_ADD": 1820, + "word_events": 3713 + } + }, + "count_type": "exact logical event counts; scalar allowance is an inherited constructive upper allowance", + "delta_against_PR4015": { + "CLEAR": 0, + "H1_children": 0, + "cover_maps": 0, + "native_wrappers": 0, + "private_peak": 0, + "quarter_ADD": 0, + "scalar_allowance": -800, + "unit_ADD": -100, + "word_events": -100 + }, + "kappa_change": "not established", + "provenance": "new independent event recount, inherited scalar tariff 8/12/2", + "unknown": [ + "physical routing/movement/control", + "decoder numerical precision and range", + "actual native workspace exclusivity", + "supplier invocation/coverage and idle credits", + "weighted recursive cost and both supplier caps" + ] + }, + "negative_controls": { + "borrowed_Y_substitution": "all 104 corrected W values acquired once, including all T", + "free_query_initialization": "eight paid query initializations", + "native_inside_private_scope": "native/map inside active private body", + "omitted_T_source": "all 104 corrected W values acquired once, including all T", + "omitted_output_restoration_CLEAR": "paid deferred output restoration before suffix", + "uninitialized_source_host": "source acquisition CLEAR", + "unsupported_scalar_tariff": "unsupported ADD coefficient", + "wrong_source_map_direction": "stage2 source map" + }, + "pair_identity": { + "agreements_histogram": { + "2": 4, + "3": 48 + }, + "full_scalar_allowance_saving_if_other_counts_equal": 800, + "pairs": 52, + "proof": "Two independent symbols per pair; all 104 ports appear exactly once; differing-channel reads precede destructive D+=E.", + "query_unit_ADD_after": 316, + "query_unit_ADD_before": 416, + "query_unit_ADD_saving": 100 + }, + "preservation": { + "host_definitions": [ + { + "deferred_source_events": [ + 5, + 6 + ], + "host": "Z1" + }, + { + "deferred_source_events": [ + 10, + 11 + ], + "host": "Z2" + }, + { + "deferred_source_events": [ + 15, + 16 + ], + "host": "Z3" + }, + { + "deferred_source_events": [ + 20, + 21 + ], + "host": "Z4" + }, + { + "deferred_source_events": [ + 25, + 26 + ], + "host": "Z5" + }, + { + "deferred_source_events": [ + 30, + 31 + ], + "host": "Z6" + }, + { + "deferred_source_events": [ + 40, + 41 + ], + "host": "Z8" + }, + { + "deferred_source_events": [ + 45, + 46 + ], + "host": "Z9" + }, + { + "deferred_source_events": [ + 50, + 51 + ], + "host": "Z10" + }, + { + "deferred_source_events": [ + 55, + 56 + ], + "host": "Z11" + } + ], + "paid_output_restoration_interval": [ + 2498, + 2518 + ], + "prefix_value_contract": "All source Q1 computation, its retirement, all U/T writes and all stage1 return maps retained literally.", + "preserved_prefix_events_after_deferral": 1694, + "preserved_suffix_events": 1195, + "source_replacement_interval": [ + 1714, + 2628 + ], + "suffix_value_contract": "Checkpoint, F0 inversion, every output finalization retained literally." + }, + "selected_acquisition": { + "Q1_retention_or_reacquisition": "not used; corrected W already contains its paid prefix effect", + "T_sources": 8, + "U_sources": 96, + "acquired_source_ports": [ + 1, + 2, + 3, + 4, + 5, + 6, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18, + 19, + 21, + 22, + 23, + 24, + 25, + 26, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 37, + 38, + 39, + 40, + 41, + 42, + 43, + 44, + 45, + 47, + 48, + 49, + 50, + 51, + 52, + 53, + 54, + 55, + 56, + 58, + 59, + 60, + 61, + 62, + 63, + 64, + 65, + 66, + 67, + 68, + 69, + 70, + 71, + 72, + 73, + 74, + 75, + 76, + 77, + 78, + 79, + 80, + 81, + 82, + 83, + 84, + 85, + 86, + 87, + 88, + 89, + 90, + 91, + 92, + 93, + 94, + 95, + 96, + 97, + 98, + 99, + 100, + 101, + 102, + 103, + 104, + 105, + 106, + 107, + 108, + 109, + 110 + ], + "extra_owned_banks": 0, + "future_private_peak": 0, + "owned_output_banks_still_required": 224, + "owned_output_hosts": [ + "Z1", + "Z10", + "Z11", + "Z2", + "Z3", + "Z4", + "Z5", + "Z6", + "Z8", + "Z9" + ], + "physical_status": "Logical def-use feasibility only; movement, native tag ABI and exclusivity are not priced here.", + "query_initialization_CLEAR": 8, + "query_initialization_scalar_allowance": 16, + "response_deposits": 8, + "restoration": "Ten delayed output definitions each use one CLEAR and one X copy; included in full invoice.", + "source_acquisition_CLEAR": 104, + "source_acquisition_scalar_allowance": 1040, + "source_acquisition_unit_ADD": 104, + "source_normalization_H1": 104, + "source_normalization_maps": 104, + "window": [ + 1694, + 2498 + ] + } +} diff --git a/research/qq16-sequential-recovery/PREDECESSORS.json b/research/qq16-sequential-recovery/PREDECESSORS.json new file mode 100644 index 0000000000..8d4a3ec50d --- /dev/null +++ b/research/qq16-sequential-recovery/PREDECESSORS.json @@ -0,0 +1,43 @@ +{ + "schema_version": 1, + "heads": { + "3985": "400df7fca8f60c19bf163c77564fe3fbe9154b04", + "4015": "0fff81d8997cef646538bcd4f60d7d455cf93b8e", + "4003": "309189077d0f760248bbdaadab42ecbff4f3ea2d", + "4030": "12df564caa8918453de658fe49601de6a9227017" + }, + "files": [ + { + "pr": 3985, + "path": "research/qq16-recovery-fusion/WORD.json", + "sha256": "a854f516f1d80635fb3414734f9e1c6d1251a5d79ef12e137c143fc6b0b51722", + "git_blob": "1518ddc9b61aa6bede045d20f0d5e8cf664863fa" + }, + { + "pr": 4015, + "path": "research/qq16-streaming-recovery/WORD.json", + "sha256": "272d8c1bd172c29044eb227ec6d67a882501250978234685e035158f4479aa58", + "git_blob": "9a57a6f9c2fd8cdc4e5934408d78ef54e5f266b6" + }, + { + "pr": 4015, + "path": "research/qq16-streaming-recovery/replay.py", + "sha256": "4a98d140f34864302edd745d7031b52e3b457cc3409d5ee9070e953a8d4702be", + "git_blob": "2c245184920018c583179f122213e24876d8aa6e" + }, + { + "pr": 4015, + "path": "research/qq16-streaming-recovery/native.py", + "sha256": "ace9d8c33256e96f3d159a0529b78fe0dbe1158e8250f67a32989fa5593465d1", + "git_blob": "93b57f906d028488606f0c7a9ae89ac607a9e596" + }, + { + "pr": 4003, + "path": "research/qq16-query-schur/verify.py", + "sha256": "5c8d1d917acbaa6369cf68b1bd4a0f24725850ac1201b91b55a0c85da9b27507", + "git_blob": "454b28fa58de2720a8470858b8f6d42634b0c6de" + } + ], + "credit": "ywz65 PR2707 full decoder; Arham Tahir PR2681 routed primitives; Chris R / Clear1nsight PR3985 materialization, PR4003 residual witness and PR4015 streaming/output hosting. Substantial OpenAI assistance. Pending PR evidence is not merged or maintainer accepted. PR3985 owns336-to224 native reduction; PR4015 owns its distinct streaming/hosting result. Tekalign/tekuuu PR4030 owns the separate common-frame normalization gate; no source normalizer is removed here.", + "retention": "Only comparison WORDs retained; replay/native copied byte-identically from4015; residual.py retains4003 witness logic with caller-supplied authenticated inputs." +} diff --git a/research/qq16-sequential-recovery/PROOF.md b/research/qq16-sequential-recovery/PROOF.md new file mode 100644 index 0000000000..4518e496f8 --- /dev/null +++ b/research/qq16-sequential-recovery/PROOF.md @@ -0,0 +1,100 @@ +# Exact scalar reduction at the unchanged recovery boundary + +## Statement and domain + +For the canonical QQ16 packet and ordered routes pinned in SOURCES.json, replace +only the future-query recovery interval of the complete PR2707 decoder by the +literal WORD.json schedule. Subject to the same native common-label, owner-map, +phase-frame and recursive child contracts as that decoder, the new schedule +returns all224 original outputs in F17 and preserves all224 current borrowed +X/Y values and frames. Every owned bank may initially contain arbitrary dirt. +Its complete scalar allowance is26144 under the inherited unit/quarter/CLEAR +upper tariffs8/12/2, versus26944 in PR4015 and27184 in PR3985. Native count224, +rank-one children,448 wrappers and352 maps are unchanged. This theorem about +the logical word does not supply a physical or finite-precision implementation. + +## The exact residual is retained + +At the canonical first future-map cut, the actual corrected W values differ +from borrowed Y by Δ. With the original order g1 then g2, their query difference +is + +`Q2(Δ) = Q2(X_T) − M21 Q1(Y)`, + +`M21 = (1/4) Σ_(p∈U∪T) r_p r_pᵀ [g2,p g1,p]`. + +The narrow PR4003 witness logic is retained in residual.py, with all inherited +inputs authenticated by the enclosing verifier before execution. It reconstructs +the literal prefix and checks this identity over independent current arrays. +The character1 images of the104 ordered owner products are all distinct. +The00 diagonal has52 distinct images, each with coefficient1/4, and no original +character1 term. On constants the operator is13I, but that specialization does +not give the general operator. The admissible current state +`Y_A=K1,A a`, `Y_(U∪T)=0`, `X=0` realizes arbitrary query a. The A-response is +injective after undoing its maps and applying R_A; thus the missing residual +cannot disappear at the outputs. Reversed products, missingT and zero/13I +correction all fail. These are reproduced predecessor results, not new claims. + +The candidate copies every actual W_U and W_T once after the same paid prefix. +No Q1 retention is assumed. Q1's private registers are cleared at1585–1592, +before end1593 and future map1714. The independent acquisition audit accounts +for104 CLEARs/copies/maps/negative lines, eight query initializations and all +response deposits. Keeping these corrected sources retains both residual terms. + +## New scalar identity and lifetime + +For each same-support pair p,q, separately normalize into F16 sources D=v_p, +E=v_q with the original charged map and signed line. If m supported coefficients +agree, deposit both originals into the4−m differing query channels before +changing D. Execute one charged `D+=E`, then use D in each of the m agreeing +channels with their common sign. The resulting coefficient of v_p and v_q in +every channel is exactly the original R entry. Cost is `2(4−m)+1+m=9−m` +unit ADDs, replacing8. Actual52pairs consist of48 withm3 and4 withm2, giving +`48×2+4×1=100` removed ADDs. This is a deterministic bounded matching within +same-support groups of size4 or8, not global arithmetic-circuit optimization. + +Q0..Q7,D,E use ten existing unused Z_U output slots. Their early CLEAR/X-copy +definitions are delayed after verifying no intervening source-word use. Every +query/source first use initializes arbitrary dirt with a paid CLEAR. All ten +output definitions are restored by their paid CLEAR/X-copy at2498:2518 before +the literal1195-event suffix. Prefix1694events are exact after those deferrals; +no native call overlaps private scratch. Eight response corrections and the +entire canonical F0 inverse/checkpoint/output suffix remain exact. The full +replay proves final output values/frames and borrowed return, rather than +inferring them from local matrix identities. See the two detailed proofs. + +The extraE cleanup is discharged by its tenth output restoration; it does not +create a second independent two-unit saving. Whole-word CLEAR count stays416. +The full bill is `8×1820+12×896+2×416=26144`. The1040 difference from3985 +includes4015's240 lifetime saving, which is credited separately. + +## Evidence and limits + +The whole word and construction receipt regenerate byte/value exactly. Both +original routed recovery (including intermediate checkpoint) and arbitrary +current recovery against the canonical inverse formula pass on exact rational +group-ring expressions and full73-coordinate phase polynomials. Signed native +recipes are checked on114688 local basis columns and every224 occurrence is +bound to its recipe. This is a recipe-basis test, not224 new native proofs. + +A separately implemented two-symbol pair identity and event/acquisition recount +check the new work. Separate agent executions and a read-only adversarial review +share canonical routed code and PR4015's replay engine; they do not constitute +independent human or formal proof. Moving D+=E ahead of differing reads leaves +the bill unchanged but fails recovery; missingT normalization, E initialization, +tenth-output return, response inverse and private exclusion are also rejected. +Hashes and final review coverage are recorded in REVIEWS.json. + +Reassociation changes ranges and rounding. PR4043's same-DAG transfer is +inapplicable. Physical head movement/control, tag ABI, actual native exclusivity, +allocation, precision/bit costs, outer invocation and productive coverage, idle +credits and both all-depth caps remain unknown. The native moment remains the +same224 rank-one contributions at the inherited child sizes; no unit-mixing or +κ reduction follows. PR4105's actual selected-only bridge repair obstruction +continues to apply in its own domain; a valid outer connection remains absent. + +Credit3985's336→224 native reduction,4015's streaming/hosting,4003's residual, +ywz65/2707, Arham Tahir/2681 and all retained source notices. Tekalign/tekuuu's +4030 normalization gate is a distinct result; this construction keeps every +source normalizer. New paired arithmetic and integration by Chris R/Clear1nsight +with substantial OpenAI Codex assistance; Apache-2.0. diff --git a/research/qq16-sequential-recovery/README.md b/research/qq16-sequential-recovery/README.md new file mode 100644 index 0000000000..7df22dd18e --- /dev/null +++ b/research/qq16-sequential-recovery/README.md @@ -0,0 +1,91 @@ +# Paid paired-source QQ16 recovery + +The actual future-query accumulation admits a different scalar circuit: pair +sources with the same four-row coefficient support, consume differing signs +before destruction, then share their paid sum. The complete unchanged recovery +interface saves **100 unit ADDs / 800 scalar allowance against PR #4015**. +All 224 original outputs finish in F17; all 224 borrowed current X/Y values and +frames remain unchanged. The full word still uses 224 rank-one H1 children, +448 wrappers, 352 cover maps, 224 owned outputs and private peak 16. + +| Complete local quantity | #3985 | #4015 | This word | +|---|---:|---:|---:| +| Unit ADD | 1920 | 1920 | 1820 | +| Quarter ADD | 896 | 896 | 896 | +| CLEAR | 536 | 416 | 416 | +| Scalar allowance, inherited tariff | 27184 | 26944 | 26144 | +| Additional owned arrays | 112 | 0 | 0 | +| Deferred output hosts | 0 | 9 | 10 | +| Future private peak | 8 | 0 | 0 | + +The separate materialized hosting word in #4007 reports26960 scalar allowance, +424 CLEARs,104 deferred output slots and future-private peak8 at head +`fb1c0da01c02f2a5fbc557dc16c1ebb90dac4e76`. That published comparison is +not re-executed here; the stronger #4015 scalar baseline is recounted from its +exact retained word. Different access schedules do not establish physical +dominance. + +The scalar quantity is a constructive upper allowance, not a measured runtime. +Native ranks/multiplicities are unchanged from #4015. Physical routing/control, +numerical range/error, actual workspace exclusivity, invocation and productive +coverage, idle credits, weighted recurrence and both supplier caps remain open. +**No selected κ improvement is established.** In particular F17 denotes the +native frame, not a finite field of order 17. + +[PROOF.md](PROOF.md), [construction-proof.md](construction-proof.md) and +[acquisition-proof.md](acquisition-proof.md) give the identity and full paid +boundary. [WORD.json](WORD.json) is the entire 3713-event word; +[RESULT.json](RESULT.json) is its regenerated typed receipt. +[SOURCES.json](SOURCES.json) binds 22 canonical runtime inputs at main +`bb4bccbf42844d2801487450727c2f63e10d1d0f`; selected/catalogue records are +historical provenance. Only narrow pending comparison data are retained. +[PREDECESSORS.json](PREDECESSORS.json) records their original heads and bytes. + +## Reproduce + +From the repository root, with Python 3.12 and no third-party dependencies: + +```sh +python3.12 -B scripts/research_package.py --package research/qq16-sequential-recovery --check-only +python3.12 -B scripts/research_package.py --package research/qq16-sequential-recovery +``` + +The primary verifier regenerates the canonical and paired words, checks both +original/checkpoint and arbitrary-current routed-array recovery, full phase +frames and borrowed return, the nonconstant residual witness and attainability, +114688 signed-native basis columns, independent acquisition/invoice/pair checks +and substantive rejected mutants. Boundary tests cover normal/optimized +Git-free read-only replay, authenticated execution, full words and typed +receipts, duplicate keys, and overwrite refusal. Verification uses credited +inherited routed algebra and replay engines; it is not a second independent +implementation of the whole decoder, human review or formal-kernel acceptance. + +## Open next questions + +The next bounded experiment is a **range and rounding audit of this frozen +paired WORD**, with exact intermediate linear norms and propagated output-error +coefficients. It distinguishes whether the 800 allowance saving survives the +extra precision demanded by reassociation. A successful result must compare +complete numerical/bit costs; failure should name the first range/error budget +that is repaid. PR #4043's identical-trace transfer does not apply. + +A separate remaining implementation obligation is to bind a real accessor and +native workspace to these ten output hosts and price movement/restoration, +invocation, productive coverage and both supplier caps. The new #4105 bridge +obstruction excludes its selected-only post-pair repair, so this local word must +not be silently promoted into that actual caller. It does not invalidate this +unchanged local recovery identity. TASK.json records the precise next steps. + +## Credit + +Chris R / Clear1nsight with substantial OpenAI Codex orchestrator, construction, +independent accounting and adversarial assistance; Apache-2.0. PR #3985 owns +the preceding **336-to-224 native reduction**. PR #4015 separately supplies +streaming and nine-output hosting; this result adds scalar pairing and pays a +tenth output host. Preserve ywz65/#2707, Arham Tahir/#2681, Ali Romman's QQ16 +construction, Douglas Colkitt and the retained native/compiler/geometry/supplier +lineage; commdata2338/#2651 early-record coalescing and Nick Petalas's access and +consumer accounting. Tekalign/tekuuu's separate #4030 common-frame normalization +gate is credited as a distinct scoped obstruction, not as this scalar circuit. +The #4003 ordered-residual proof and #4015 replay/native code are reused with +explicit pins. New precision or physical conclusions are not inherited. diff --git a/research/qq16-sequential-recovery/RESULT.json b/research/qq16-sequential-recovery/RESULT.json new file mode 100644 index 0000000000..ff7fa98b7e --- /dev/null +++ b/research/qq16-sequential-recovery/RESULT.json @@ -0,0 +1,20947 @@ +{ + "acquisition": { + "conservative_copy_acquisition": { + "CLEAR": 8, + "later_cleanup_or_output_restoration": "additional obligation", + "scalar_allowance": 80, + "unit_ADD": 8 + }, + "frame_scope": "F17 is inherited from the authenticated canonical frame replay; not a modulus.", + "full_residual_preservation": "Actual W includes both Q2(X_T) and -M21 Q1(Y). All 104 source ports must occur.", + "hosting_status": "def-use eligibility only; not implemented by selected scalar-factorization candidate", + "potential_owned_query_hosting": [ + { + "defer_definition_events": [ + 5, + 6 + ], + "output": "Z1" + }, + { + "defer_definition_events": [ + 10, + 11 + ], + "output": "Z2" + }, + { + "defer_definition_events": [ + 15, + 16 + ], + "output": "Z3" + }, + { + "defer_definition_events": [ + 20, + 21 + ], + "output": "Z4" + }, + { + "defer_definition_events": [ + 25, + 26 + ], + "output": "Z5" + }, + { + "defer_definition_events": [ + 30, + 31 + ], + "output": "Z6" + }, + { + "defer_definition_events": [ + 40, + 41 + ], + "output": "Z8" + }, + { + "defer_definition_events": [ + 45, + 46 + ], + "output": "Z9" + } + ], + "query_lifetimes": [ + { + "frame": "F17", + "initialization": 697, + "last_accumulation": 753, + "last_read": 1575, + "private_at_future_cut": false, + "retirement": 1585, + "role": "F0" + }, + { + "frame": "F17", + "initialization": 754, + "last_accumulation": 810, + "last_read": 1576, + "private_at_future_cut": false, + "retirement": 1586, + "role": "F1" + }, + { + "frame": "F17", + "initialization": 811, + "last_accumulation": 867, + "last_read": 1577, + "private_at_future_cut": false, + "retirement": 1587, + "role": "F2" + }, + { + "frame": "F17", + "initialization": 868, + "last_accumulation": 924, + "last_read": 1578, + "private_at_future_cut": false, + "retirement": 1588, + "role": "F3" + }, + { + "frame": "F17", + "initialization": 925, + "last_accumulation": 981, + "last_read": 1581, + "private_at_future_cut": false, + "retirement": 1589, + "role": "F4" + }, + { + "frame": "F17", + "initialization": 982, + "last_accumulation": 1038, + "last_read": 1582, + "private_at_future_cut": false, + "retirement": 1590, + "role": "F5" + }, + { + "frame": "F17", + "initialization": 1039, + "last_accumulation": 1095, + "last_read": 1583, + "private_at_future_cut": false, + "retirement": 1591, + "role": "F6" + }, + { + "frame": "F17", + "initialization": 1096, + "last_accumulation": 1152, + "last_read": 1584, + "private_at_future_cut": false, + "retirement": 1592, + "role": "F7" + } + ], + "query_not_available_at_future_cut": true, + "selected_candidate_acquisition": "uses the actual 104 corrected W fields; no Q1 retention or reacquisition", + "source_current_query_begin": 696, + "source_current_query_end": 1593, + "source_first_future_map": 1714 + }, + "construction": { + "factoring": { + "pair_intervals": [ + { + "block_start": 8, + "block_stop_exclusive": 23, + "ports": [ + 76, + 81 + ] + }, + { + "block_start": 23, + "block_stop_exclusive": 38, + "ports": [ + 87, + 92 + ] + }, + { + "block_start": 38, + "block_stop_exclusive": 52, + "ports": [ + 10, + 11 + ] + }, + { + "block_start": 52, + "block_stop_exclusive": 66, + "ports": [ + 62, + 63 + ] + }, + { + "block_start": 66, + "block_stop_exclusive": 80, + "ports": [ + 70, + 71 + ] + }, + { + "block_start": 80, + 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residual and restricted single-owner-route-per-branch lower bound. Not a native-child lower bound, circuit optimality, scalar tensor-rank bound, physical supplier or kappa improvement.", + "semantic_controls": [ + "replace M with13I", + "reverse ordered products", + "omit T residual", + "omit entire correction" + ], + "separating_character": 1, + "source_future_start_event": 1714, + "source_pins": {}, + "status": "PASS_QQ16_ORDERED_SCHUR_OBSTRUCTION", + "trivial_character": "13I" + }, + "scope": "Exact logical scalar-allowance improvement800 vs PR4015,1040 vs PR3985. Arithmetic DAG changed; new numerical range/error proof required. Physical access, native workspace, supplier coverage, weighted recurrence and both caps unproved. No kappa change.", + "selected_acquisition": { + "Q1_retention_or_reacquisition": "not used; corrected W already contains its paid prefix effect", + "T_sources": 8, + "U_sources": 96, + "acquired_source_ports": [ + 1, + 2, + 3, + 4, + 5, + 6, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18, + 19, + 21, + 22, + 23, + 24, + 25, + 26, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 37, + 38, + 39, + 40, + 41, + 42, + 43, + 44, + 45, + 47, + 48, + 49, + 50, + 51, + 52, + 53, + 54, + 55, + 56, + 58, + 59, + 60, + 61, + 62, + 63, + 64, + 65, + 66, + 67, + 68, + 69, + 70, + 71, + 72, + 73, + 74, + 75, + 76, + 77, + 78, + 79, + 80, + 81, + 82, + 83, + 84, + 85, + 86, + 87, + 88, + 89, + 90, + 91, + 92, + 93, + 94, + 95, + 96, + 97, + 98, + 99, + 100, + 101, + 102, + 103, + 104, + 105, + 106, + 107, + 108, + 109, + 110 + ], + "extra_owned_banks": 0, + "future_private_peak": 0, + "owned_output_banks_still_required": 224, + "owned_output_hosts": [ + "Z1", + "Z10", + "Z11", + 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b/research/qq16-sequential-recovery/REVIEWS.json new file mode 100644 index 0000000000..a11f9fdf5c --- /dev/null +++ b/research/qq16-sequential-recovery/REVIEWS.json @@ -0,0 +1,51 @@ +{ + "status": "PASS_ASSISTED_SCOPED_ADVERSARIAL_REVIEW", + "reviewed_sha256": { + "verify.py": "bb01a38bbec0ffafb9f261d2f84c53bc880cfe9f13da79f18122cc8db72978f8", + "construction.py": "9d5f937fbe723b6280e06511bbc576e96cd9af468a485e12b408d85079b6cd63", + "cost.py": "4f1bdd4e41fc0788787360a41aab602f152e36de65beb0700f71d4e212ea62c6", + "replay.py": "4a98d140f34864302edd745d7031b52e3b457cc3409d5ee9070e953a8d4702be", + "native.py": "ace9d8c33256e96f3d159a0529b78fe0dbe1158e8250f67a32989fa5593465d1", + "residual.py": "d402cf19590530acf7bd173b0f4684060a39ac6aa94d3c82d79ee58bba5aa0ee", + "test_verify.py": "73be418471d9eec2ac3e24459264b936c70773e501e3053b2c98b3fb64d109ac", + "WORD.json": "b4f2b5662734178d02a5d620ebd071bc284abd4d9b6dbe11b5d9646455a0f021", + "RESULT.json": 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canonical input authentication, proof/code inspection, full integrated verifier execution and registered boundary suite.", + "construction_worker": "Separate execution of full original/checkpoint and arbitrary-current replay; literal construction regeneration; premature overwrite and tenth-host restoration controls.", + "acquisition_worker": "Separate implementation without predecessor executable imports: two-symbol pair identity, entire event bill, all104W acquisition and prefix/suffix/ten-host restoration, eight controls.", + "adversary": "Read-only review, independent pair derivation and signed matching template screen, full arbitrary-current replay, three mutants, residual/native execution, integration/provenance inspection." + }, + "resolved_findings": [ + "Premature destructive-use mutant moved only before differing ADDs, preserving frame preconditions.", + "Copied PR4015 replay/native executable SHA authenticated before inherited execution.", + "Duplicate-key JSON receipts/manifests rejected explicitly." + ], + "scope": "No blocking exact-arithmetic/frame/lifetime/acquisition/invoice issue found. All agents inherit common context; full replays share canonical PR2707/2681 algebra and PR4015 engine. Residual/native logic reused with credit. This is independent assisted checking/execution, not an independent full decoder implementation, human review or formal-kernel proof. Adversary did not independently inspect external PR4105.", + "excluded": [ + "finite precision/intermediate ranges", + "physical placement/head movement and tag ABI", + "actual native workspace exclusivity", + "outer invocation/coverage/idle credit and both supplier caps", + "new selected kappa" + ], + "registered_suite": "Root execution evidence recorded separately; not inferred from code review.", + "followup_review": "Adversary separately reread added4007 published-comparison paragraph; scope safe, no underlying4007 execution claimed. Root separately compared five predecessor-listed source files against exact original-head Git bytes/blobs.", + "post_review_format_change": { + "file": "residual.py", + "reviewed_sha256": "d402cf19590530acf7bd173b0f4684060a39ac6aa94d3c82d79ee58bba5aa0ee", + "published_sha256": "e51e6b4e3a794739a74716d3ad483c4c2918acac33cc4553a485eb40cea8a329", + "change": "Remove only one extra EOF blank line; parsed AST identical, RESULT/WORD bytes unchanged." + } +} diff --git a/research/qq16-sequential-recovery/SOURCES.json b/research/qq16-sequential-recovery/SOURCES.json new file mode 100644 index 0000000000..fdeacf27b5 --- /dev/null +++ b/research/qq16-sequential-recovery/SOURCES.json @@ -0,0 +1,150 @@ +{ + "schema_version": 1, + "base_commit": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81", + "sha256": 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"question": "Can a literal QQ16 producer meet the proposed completed-output error budgets with dirty helpers and an affordable physical consumer?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/joint-query/README.md", + "research/joint-query/evidence/QQ16-SELECTED-WITNESS.md", + "research/joint-query/evidence/JOINT-QUERY-TRANSFER.md", + "docs/research/community-efficient1000-review.md", + "research/qq16-producer-defect-transfer/README.md" + ], + "methods": [ + "Derive one literal producer's completed-output defects and intermediate dirty-helper bounds, with its physical bill.", + "Design or audit one consumer, retention or hosting boundary and its complete cost for the pinned producer/decoder." + ], + "acceptance_gate": "Name the changed premise of the fixed F0/B1 observation obstruction. Show exactly which query is recovered, legal native reads and restoration, and a full favorable budget including cover maps, helpers and endpoints. Local inverse identities alone do not close the global controller. 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_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the revision-6 family record and #2965 producer-defect transfer after the local QQ16 decoder contract. Its author-checked output-error estimate does not implement producer interiors, bound dirty helpers, or pay for the consumer; independently check the implication used.", + "scope": "Source-bound orientation only. Read the named package and review before relying on its local evidence; this command is not its replay or supplier admission." + }, + "first_experiment": "Pin one literal F0/B1 producer and its native-child contracts; derive the actual intermediate magnitude ledger and completed-output defects, including dirty helpers and correlations. Compare with #2965 budgets and price storage, movement, cleanup and F17 consumption. Stop with a precise missing bound if no producer contract supplies it; do not optimize another decoder precision constant in isolation.", + "bottleneck_link": "The native local words exist; retained query information and its physical access are the missing link to a composed recursive interface.", + "allowed_variations": [ + "One paid query, one changed first pair, or one precisely specified affine helper state.", + "A counterexample or lower bound for that exact proposed repair.", + "One unresolved obligation of a newer local decoder, with exact source heads and a distinct claim/domain." + ], + "scope_change_triggers": [ + "Retaining the fixed first pair and ordinary schedule while allowing only homogeneous selected-only control, already excluded by the witness.", + "Treating cover-map counts as zero-cost physical address operations.", + "Recreating the pending complete local decoder or early-record/output-bank coalescing already under investigation without a distinct audit or changed premise.", + "Treating a completed-output defect inequality as a producer-interior, dirty-range or physical-cost certificate." + ], + "overlap_terms": [ + "QQ16", + "joint-query", + "changing-chart controller", + "selected observation", + "1969", + "2540", + "early record", + "output-bank retention", + "complete native decoder", + "2965", + "producer defect", + "dirty-helper range", + "F17 consumer" + ] + }, + "scope_status": "changed", + "actual_scope": "Paired-source factorization of the actual eight-channel QQ16 future recovery query, preserving all224F17outputs and borrowedXY.", + "scope_change_reason": "Explicit donor recovery-arithmetic assignment; one evidence-based pivot after direct identical-projection reuse falsified.", + "bottleneck_link": "Remove paid unitADDs from actualquery and include acquisition, response, tenth-bank alias/init/restore in full local word.", + "budget_minutes": 60, + "stop_rule": "Onepivot. Freeze science by01:12UTC, verificationreserve01:14\u201301:29. Stop if exactendpoint fails, repair repays saving, or complete logicalword dominated.", + "outcome": "partial", + "evidence": "PASS_QQ16_PAIRED_SOURCE_RECOVERY and complete registered Python3.12.3 isolated replay PASS (outcome partial). Normal/optimized read-only Git-free export PASS158.494s; remaining3boundarygroups PASS168.131s; five original-head predecessor blob checks PASS. All scientific WORD/RESULT bytes frozen; EOF-only residual cleanup AST-identical. Physical/numerical/actualsupplier obligations remain open.", + "author": "Chris R / Clear1nsight with OpenAI Codex assistance", + "ai_assistance": "OpenAI Codex orchestrator, constructionworker, acquisitioncostworker and dedicatedadversarialreview; no human/kernel acceptance.", + "open_questions": [ + { + "question": "Can the paired-query arithmetic meet completed-output precision and intermediate-range budgets?", + "why_it_matters": "Reassociation changes rounding dependencies; identical-trace PR4043 transfer cannot be reused.", + "first_step": "On this frozen WORD, propagate exact linear intermediate norms and per-operation rounding contributions through all224 outputs; compare to inherited producer-defect budgets without changing the word.", + "blocked_by": "No range/error certificate for the changed DAG; physical and actual supplier contracts remain separate obligations." + }, + { + "question": "Can a real native workspace and storage accessor implement the ten-host schedule at a favorable complete physical price?", + "why_it_matters": "Logical zero extra banks and equal map counts do not determine physical access or six-tape applicability.", + "first_step": "Bind the existing PR4042/4047 ABI and exclusivity obligations to the literal paired block; price all movement/init/restore and both supplier caps.", + "blocked_by": "Actual native/workspace supplier contract and physical route tariff not supplied." + } + ], + "boundary": { + "borrowed": "224currentXY values/frames unchanged, arbitrary admitted contents", + "returned": "all224originalZ/W inF17", + "owned": "224outputbanks,10hosteddeferredZ_U temporaryroles;privatepeak16, nativeexclusion andreturnasliteralword", + "alphabet": "ADD coefficients\u00b11,\u00b11/4;CLEAR,map(stage,port,inv),signedline,privatebegin/end", + "scope": "exact all-depth symbolicarray word under inheritedcommonlabel/native contracts, no newphysical or numeric certificate" + }, + "expansion_decision": { + "sources": "freshbb4 main; priority6/selectedK unchanged.3985/4015/4003/4030 inspected exactheads; existing localwords conditional, notsuppliers.", + "cost_status": "Complete paid logical word26144scalar,224H1/448wrappers/352maps,224outputs,zeroextraowned,privatepeak16; physical/precision/supplier caps UNKNOWN, notzero.", + "decision_change": "48U+4T pairs share normalizedsum/difference overcommonRcoefficients, eliminatingqueryADDs; pay extra liveE through tenthdeferredoutputalias andfullrestore. EntireactualW used so residualandT retained.", + "decision": "narrowconstructive scalarwin; direct104projectivecolumn grouping fails; channelsplitroutetour favourable screen fails. No longersearchnative sharing.", + "reopen_stop": "Stop if fullreplay/cost fails; anothermechanism needs newexplicitpremiseandtimebudget" + }, + "round": { + "start_utc": "2026-10-20T00:29:29Z", + "target_end_utc": "2026-10-20T01:29:29Z", + "upstream_main": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "scientific_predecessors": { + "3985": "400df7fca8f60c19bf163c77564fe3fbe9154b04", + "4015": "0fff81d8997cef646538bcd4f60d7d455cf93b8e", + "4003": "309189077d0f760248bbdaadab42ecbff4f3ea2d", + "4030": "12df564caa8918453de658fe49601de6a9227017" + }, + "overlap": "Targetedopen/closedQQ16/sequentialPRbodies, canonicalhandoff andliveDiscussion1166/start/index; helperremotegh unavailable, partialcoverage", + "checkpoint_utc": "2026-10-20T00:46:57Z", + "checkpoint_main": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "new_overlap": "PR4105 actual selected-only post-pair bridge repair obstruction, head f0c9a602d1c82b326917e87397dc7fab8750534b, live body read00:48UTC. Distinct local scalar target; actual caller connection remains open.", + "submission_checkpoint_utc": "2026-10-20T00:51:42Z", + "submission_main": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "coordination": "Canonical investigation3985#issuecomment-6263114494 updated via authenticatedbrowser, previous4105handoff preserved. No continuing exclusive claim after01:29UTC.", + "scientific_freeze_utc": "2026-10-20T00:51:23Z", + "final_checkpoint_utc": "2026-10-20T00:56:35.360057+00:00", + "final_checkpoint_main": "bb4bccbf42844d2801487450727c2f63e10d1d0f" + }, + "worker_ledger": { + "construction": "Full canonical/candidate regeneration, both full replays and two semantic mutants; shares inherited routed replay. construction-proof.md.", + "acquisition": "Separate no-predecessor-executable cost/pair/acquisition/def-use checker, eight controls. cost.py, ACQUISITION/LEDGER, acquisition-proof.md.", + "root": "Source authentication, integration, full primary receipt, proof and registered boundaries, publication.", + "adversary": "Read-only two-symbol derivation, matching screen, arbitrary-current replay, three mutants, residual/native execution and fail-closed/provenance review. Shared canonical engine disclosed." + } +} diff --git a/research/qq16-sequential-recovery/VERIFICATION.json b/research/qq16-sequential-recovery/VERIFICATION.json new file mode 100644 index 0000000000..25ffabd2b3 --- /dev/null +++ b/research/qq16-sequential-recovery/VERIFICATION.json @@ -0,0 +1,29 @@ +{ + "status": "PASS_REGISTERED_LOCAL_REPLAY", + "python": "CPython3.12.3", + "package_outcome": "partial", + "command": "python3.12 -B scripts/research_package.py --package research/qq16-sequential-recovery", + "observed": [ + "PASS_QQ16_PAIRED_SOURCE_RECOVERY", + "normal+optimized Git-free read-only export:1test PASS158.494s", + "source/copied-executable,manifest/vendor/whole-word,type/duplicate receipts,exclusivewrite:3tests PASS168.131s", + "PASS_REGISTERED_RESEARCH_PACKAGE research/qq16-sequential-recovery outcome=partial", + "PASS_PENDING_PREDECESSOR_ORIGINAL_HEAD_BYTES files=5", + "PASS_RESEARCH_BASELINE_BINDINGS_ONLY selected record unchanged", + "git diff --cached --check PASS after AST-identical EOF cleanup" + ], + "scientific_bytes": { + "WORD.json": "b4f2b5662734178d02a5d620ebd071bc284abd4d9b6dbe11b5d9646455a0f021", + "RESULT.json": "f1273ef7812a43e5d6d039fbf23a6989928704bbe124a9344d6cc6eab2b0f981", + "CONSTRUCTION.json": "dbf7b1d077b1b58262afe22aceeac02262c50c6597392676ea7a98e7d9cdd075", + "LEDGER.json": "31e763f0d554cb0c399167423b771f6bddf0d9878e9f0aa45490fc4c785474ed" + }, + "hosted_ci": "Not yet run at local publication preparation; reported separately on the PR.", + "not_run": [ + "historical full selected cold replay", + "Lean or other formal kernel", + "physical six-tape or actual outer supplier execution", + "new numerical range/error certificate" + ], + "review": "Substantial shared-context AI review and independent accounting implementation; inherited canonical algebra/replay/native/witness code credited, no human acceptance claimed." +} diff --git a/research/qq16-sequential-recovery/VERIFY.json b/research/qq16-sequential-recovery/VERIFY.json new file mode 100644 index 0000000000..d1b0e3e9cd --- /dev/null +++ b/research/qq16-sequential-recovery/VERIFY.json @@ -0,0 +1,72 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/community-frontier1042-audit/selected-replay.tar.gz", + "research/joint-query/certificate.json.gz", + "research/joint-query/evidence/JOINT-QUERY-TRANSFER.md", + "research/joint-query/verify_native.py", + "research/joint-query/verify_scalar.py", + "research/qq16-line-normalized-decoder/PREDECESSORS.json", + "research/qq16-line-normalized-decoder/PROOF.md", + "research/qq16-line-normalized-decoder/README.md", + "research/qq16-line-normalized-decoder/RESULT.json", + "research/qq16-line-normalized-decoder/SOURCES.json", + "research/qq16-line-normalized-decoder/TASK.json", + "research/qq16-line-normalized-decoder/VERIFY.json", + "research/qq16-line-normalized-decoder/WORD.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/PROOF.md", + 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diff --git a/research/qq16-sequential-recovery/acquisition-proof.md b/research/qq16-sequential-recovery/acquisition-proof.md new file mode 100644 index 0000000000..6ba68348da --- /dev/null +++ b/research/qq16-sequential-recovery/acquisition-proof.md @@ -0,0 +1,41 @@ +# Independent acquisition, preservation and allowance audit + +Chris R / Clear1nsight, with substantial OpenAI Codex assistance. Apache-2.0. + +This audit receives the source word and coefficient matrix only after the package's source authentication. `cost.py` imports no predecessor executable. It separately recounts every event of the retained words and checks the candidate's literal acquisition and restoration events. Indices below are zero based; intervals exclude their right endpoint. + +## The current query is not free at the recovery cut + +In the canonical PR #2707 word, the eight-register `B1_current_query` body begins at event 696 and ends at 1593. Its registers F0 through F7 have their final CLEAR-to-identity events at 1585 through 1592. The first stage-2 future map is event 1714. Thus this actual query has been retired before the future recovery cut. `ACQUISITION.json` records each register's initialization, last accumulation, last read and retirement. + +Copying its eight values into separate initialized owned registers would require at least the explicit proposed acquisition of eight CLEARs and eight unit ADDs (80 scalar allowance), followed by cleanup or output restoration. This is a conservative price for that proposed copying schedule, not a universal lower bound. Eight selected Z_U destinations have eligible delayed definitions, but that eligibility does not implement or validate a retained-query decoder. + +The selected candidate does not retain or reacquire Q1. It preserves the original prefix, including the paid Q1 computation and retirement, and reads the actual corrected W fields. Consequently the source prefix's T contribution and the residual `Q2(X_T) - M21 Q1(Y)` are still present. The separate residual and full symbolic replay checks are required for the algebraic assertion; this audit checks that all of those literal inputs and prefix operations were retained. + +## All real inputs and output restorations are paid + +`selected_acquisition` checks the candidate recovery window [1694,2498). It contains exactly one acquisition of each of the 104 actual W sources: all 96 U ports and all eight T ports. Each acquisition has an immediately preceding CLEAR in the current frame, a unit copy from the actual W source, the forward stage-2 map for that port, and its negative line operation. These 104 source copies therefore retain 104 CLEARs, 104 unit ADDs, 104 cover maps and 104 H1 children. The scalar part of acquisition alone is 1040. Eight distinct query hosts additionally receive their explicit query-frame CLEARs, costing 16 scalar allowance. + +All temporary roles use ten distinct existing Z_U output banks: Z1, Z2, Z3, Z4, Z5, Z6, Z8, Z9, Z10 and Z11. Their original CLEAR/X-copy definitions have no intervening source-word use and are delayed. The candidate restores every definition with its charged CLEAR and X copy in [2498,2518), immediately before the literal 1195-event source suffix. This accounts for 20 restoration events and scalar allowance 100 already included in the full count. These ten definitions are moved, not eliminated. + +The source interval [1714,2628) is replaced; all other events are retained literally except those ten delayed definitions. The candidate prefix contains 1694 events after deferral. No candidate event writes a borrowed X or Y bank. The future window has no private BEGIN/END body and contains no private-query or borrowed-Y input. Outside the ten hosts its only writes are the eight paid response deposits into owned W banks. All 224 owned output banks remain required. The full package replay must separately verify exact values, phase frames, borrowed-input preservation and output completion. + +## Independent scalar recount + +| Whole literal word | Unit ADD | Quarter ADD | CLEAR | Scalar allowance | H1 | Wrappers | Maps | Private peak | +|---|---:|---:|---:|---:|---:|---:|---:|---:| +| PR #3985 | 1920 | 896 | 536 | 27184 | 224 | 448 | 352 | 16 | +| PR #4015 | 1920 | 896 | 416 | 26944 | 224 | 448 | 352 | 16 | +| Paired-source candidate | 1820 | 896 | 416 | 26144 | 224 | 448 | 352 | 16 | + +The inherited scalar tariff is 8 per unit ADD, 12 per quarter ADD, and 2 per CLEAR. Thus the candidate's total is `1820*8 + 896*12 + 416*2 = 26144`. Its complete word has 3713 events, compared with 3813 in PR #4015. The independently checked two-symbol identity has 48 pairs agreeing in three supported rows and four pairs agreeing in two. The future query's 416 unit ADDs become 316; the whole-word change against PR #4015 is exactly 100 fewer unit ADDs and scalar allowance 800 less. No native or map savings are claimed. + +The second scratch host E does not supply an additional CLEAR saving against PR #4015. Its terminal standalone cleanup disappears only because its tenth delayed output definition provides the charged restoration. The whole-word CLEAR count is still 416. This distinguishes the actual 800 saving from an incorrectly claimed 802 saving. + +## Falsification controls and scope + +Eight independent controls reject a borrowed-Y substitution, omission of a T source, omission of a source CLEAR, reversal of a source map, a free query initialization, omission of an output restoration CLEAR, an unpriced half ADD and a native line inside a private scope. These controls establish sensitivity of this acquisition/cost checker; they do not replace the full symbolic replay or native-kernel checks. + +The counted reduction is a constructive logical scalar allowance. Physical address movement, frame/tag access, native workspace exclusivity, producer coverage, recursive weighted cost and both supplier caps remain unpaid or unproved here. Arithmetic reassociation changes the numerical operation graph, so PR #4043's unchanged-graph precision transfer cannot simply be reused. A decoder-specific precision and range certificate remains necessary. No decrease of selected kappa, no global physical dominance and no completed recursive supplier follow from this audit. + +Predecessor credit: PR #2707 supplies the canonical complete source word and tariff; PR #3985 supplies the recovery-fusion comparison; PR #4015 supplies streamed recovery and delayed output hosting. Exact source heads and byte pins are recorded by the integrated package's provenance manifest. The new contribution is the paired-query arithmetic reduction, while this independent audit establishes its charged acquisitions, full U/T retention, literal prefix/suffix preservation and exact scalar difference. diff --git a/research/qq16-sequential-recovery/construction-proof.md b/research/qq16-sequential-recovery/construction-proof.md new file mode 100644 index 0000000000..f0c9f6e7ab --- /dev/null +++ b/research/qq16-sequential-recovery/construction-proof.md @@ -0,0 +1,105 @@ +# Paid pairing of the literal future-query sources + +Chris R / Clear1nsight with OpenAI assistance. Apache-2.0. + +This construction modifies the actual canonical PR2707 word pinned in +`SOURCES.json`, using the streamed, deferred-output lifetime idea of PR4015. +PR3985 supplied the recovery/fusion problem and PR4003 identified the exact +borrowed-Y residual. The contribution here is a new scalar arithmetic DAG for +that same full recovery demand; it does not eliminate a native child. + +## Identity and paid schedule + +At the second-query cut, let `v_p = [g2,p] W_p` denote the logical value in an +owned bank after the charged CLEAR, copy from the **actual corrected** `W_p`, +stage-2 map and negative Gaussian line. Its physical frame is F16. Each source +occurs in four query rows, with coefficients `R[k][p]` in `{−1,+1}`. +All 104 ports in `U ∪ T` are used exactly once. Thus both the prefix correction +inside `W_U` and the literal `W_T` contribution are retained. + +For a pair `p,q` having the same four-row support, normalize the two sources +separately into `D=v_p` and `E=v_q`. Let `m` be the number of their four +coefficients that agree. First consume all differing coefficients with two +ADDs per row. Only then execute the paid ADD `D += E`. For each agreeing row, +with common sign `s`, execute the single ADD `Q_k += s D`. In a differing row +we have already added `R[k][p] v_p + R[k][q] v_q`; in an agreeing row, +`s(v_p+v_q)` is exactly the same contribution. No equality of routed payloads, +no free projection and no global sign normalization is assumed. + +The pair uses `2(4−m)+1+m = 9−m` unit ADDs instead of eight. The actual +packet admits 48 pairs with `m=3` and four with `m=2`. Its 52 pairs therefore +use 316 query unit ADDs instead of 416, saving 100. `choose_pairs` performs +exhaustive deterministic matching only within each actual same-support group +(of four or eight ports); any optimality statement is restricted to that +pair template. This is not a global arithmetic-circuit lower bound. + +The response is unchanged: for every `p∈A`, form +`−(1/4) Σ_k R[k][p] Q_k` in F16, apply the positive line, apply the inverse +stage-2 map and add into `W_p`. The exact canonical prefix and suffix are +retained except for the ten deferred definitions described below. + +## Owned-bank lifetime + +Eight query roles and the two normalized sources use ten deferred output +banks: Q0..Q7 occupy Z1,Z2,Z3,Z4,Z5,Z6,Z8,Z9, and D,E occupy Z10,Z11. +These are existing members of the 224 owned outputs. Every host has exactly +one original CLEAR/current and one copy from its borrowed X source before the +query cut, and no other reference before the cut ends. Those definitions are +moved, not credited as eliminated work. Every host is CLEARed and recopied +from its original X source after the query and response and before the exact +original suffix resumes. The actual restored event indices are recorded in +`CONSTRUCTION.json`. + +Each query role is initialized by a charged CLEAR. Each D/E use starts with a +charged CLEAR and X-independent copy from its current W source. The unhosted +construction would clear all ten temporary roles on exit; hosting replaces +those terminal resets with the moved, already charged output definitions. +The tenth host is necessary for the second source E. There are no added owned +banks and no native operation overlaps the preserved private sweeps. The +original private peak of 16 remains; the new future block uses zero private +banks. This is a logical owned-bank statement, not a six-tape physical ABI +certificate or a reduction in allocated output storage. + +## Invoice and numerical boundary + +The emitted word has 3,713 events, 1,820 unit ADDs, 896 quarter ADDs, 416 +CLEARs, 352 maps and 224 rank-one native line calls (448 wrappers). +Under the existing tariff its scalar allowance is +`8×1820 + 12×896 + 2×416 = 26144`. The PR4015 word has allowance 26944; +the improvement is exactly 800. Relative to PR3985's 27184 it is 1040, +including PR4015's preceding lifetime work. Native counts, child sizes and +all 224 requested outputs remain the same. Map costs and other separate +physical liabilities must not be folded into this scalar number. + +Reassociation and reordering change intermediate values and rounding errors. +PR4043's identical-trace transfer is therefore inapplicable. A fresh finite- +precision and intermediate-range certificate, physical placement/traffic +pricing, and recursive caller applicability remain obligations before this +local reduction could affect a global bound or selected kappa. There is no +claim here of a measured runtime gain, native saving or improved kappa. + +## Reproduction and independent checks + +`construction.py` consumes only authenticated packet/route data and the +canonical word supplied by its caller; it imports no predecessor executable. +The retained word SHA256 is +`b4f2b5662734178d02a5d620ebd071bc284abd4d9b6dbe11b5d9646455a0f021`. +The full construction and its pairing/lifetime receipt regenerate exactly. +The package verifier checks exact routed linear expressions and complete +quadratic frame phases, all 224 original outputs, all 224 independent-current +outputs, the preserved intermediate checkpoint, and every borrowed current +value and frame. The independent accounting/pair-identity module additionally +checks the literal coefficient partition and tariff without using this +constructor's invoice function. See the final verifier receipt for executed +checks and rejection controls. + +A separate read-only construction check authenticated every `SOURCES.json` +entry before loading canonical executable code, regenerated the canonical and +candidate words and the complete construction receipt, and passed both full +replays (original input plus checkpoint; independent arbitrary current input). +Two full-replay controls were also rejected: moving the first `D += E` before +its differing-row reads keeps every invoice count but produces wrong output +Z0; deleting the tenth host's restored X-copy produces wrong output Z7, the +first affected output encountered by the checker. Event anchors refer to the +retained word above: overwrite 1714, differing reads 1710–1713, and tenth-host +copy 2517 (all zero-based). diff --git a/research/qq16-sequential-recovery/construction.py b/research/qq16-sequential-recovery/construction.py new file mode 100644 index 0000000000..3de8c7a522 --- /dev/null +++ b/research/qq16-sequential-recovery/construction.py @@ -0,0 +1,157 @@ +"""Paid two-source partial sums for the literal QQ16 future query. + +Chris R / Clear1nsight with OpenAI assistance. Apache-2.0. +This module consumes authenticated P/R/source word supplied by its caller. +It imports no predecessor executable and has no hidden runtime inputs. +""" +from collections import defaultdict, Counter +from fractions import Fraction + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def choose_pairs(P, R): + """Bounded deterministic matching inside each actual four-row support. + + Each support has at most eight ports. Exhaustive recursion chooses a + perfect pairing maximizing equal coefficients, with lexical tie-breaking. + This is optimal only within this one-pass, same-support pair template. + """ + groups = defaultdict(list) + for p in P.U + P.T: + support = tuple(k for k in range(8) if R[k][p]) + need(len(support) == 4, 'four-entry source column') + need(all(R[k][p] in (-1, 1) for k in support), 'signed source column') + groups[support].append(p) + records = [] + for support, ports in sorted(groups.items()): + need(len(ports) in (4, 8), 'bounded source support group') + def solve(rest): + if not rest: + return 0, () + p = rest[0] + candidates = [] + for i, q in enumerate(rest[1:], 1): + equal = sum(R[k][p] == R[k][q] for k in support) + if equal < 2: + continue + tail = solve(rest[1:i] + rest[i+1:]) + if tail is None: + continue + score, pairs = tail + candidates.append((score + equal - 1, ((p, q),) + pairs)) + if not candidates: + return None + return min(candidates, key=lambda item: (-item[0], item[1])) + answer = solve(tuple(sorted(ports))) + need(answer is not None, 'no legal pair decomposition') + saving, pairs = answer + for p, q in pairs: + same = [k for k in support if R[k][p] == R[k][q]] + different = [k for k in support if R[k][p] != R[k][q]] + records.append({'ports': [p, q], 'support': list(support), + 'same': same, 'different': different, + 'coefficients': [[str(R[k][p]), str(R[k][q])] for k in range(8)], + 'query_unit_adds_before': 8, + 'query_unit_adds_after': 1 + len(same) + 2 * len(different), + 'unit_add_saving': len(same) - 1}) + need(sum(len([k for k in support if R[k][p] == R[k][q]])-1 for p,q in pairs) == saving, + 'pair-score invoice') + need(sorted(p for row in records for p in row['ports']) == sorted(P.U+P.T), 'exact query-port partition') + return records + + +def paired_word(P, R, original): + start = next(i for i,e in enumerate(original) if e[0] == 'map' and e[2] == 2) + stop = max(i for i,e in enumerate(original) if e[0] == 'map' and e[2] == 2) + 1 + pairs = choose_pairs(P, R) + block = [] + def emit(*e): + block.append(list(e)) + for k in range(8): + emit('clear', 'Q'+str(k), 'query2') + intervals = [] + for row in pairs: + first = len(block) + p, q = row['ports'] + for name, port in (('D',p), ('E',q)): + emit('clear', name, 'current') + emit('add', name, 'W'+str(port), '1') + emit('map', name, 2, port, False) + emit('line', name, port, -1) + # Consume unequal coefficients before overwriting D. Both payloads + # are the actual current W values, normalized separately into F16. + for k in row['different']: + emit('add', 'Q'+str(k), 'D', str(R[k][p])) + emit('add', 'Q'+str(k), 'E', str(R[k][q])) + emit('add', 'D', 'E', '1') + for k in row['same']: + emit('add', 'Q'+str(k), 'D', str(R[k][p])) + intervals.append({'ports': [p,q], 'block_start': first, 'block_stop_exclusive': len(block)}) + for p in P.A: + emit('clear', 'D', 'query2') + for k in range(8): + if R[k][p]: + emit('add', 'D', 'Q'+str(k), str(-R[k][p]/4)) + emit('line', 'D', p, 1) + emit('map', 'D', 2, p, True) + emit('add', 'W'+str(p), 'D', '1') + for name in ['D','E']+['Q'+str(k) for k in range(8)]: + emit('clear', name, 'identity') + return original[:start] + block + original[stop:], { + 'source_window': [start,stop], 'pairs': pairs, 'pair_intervals': intervals, + 'unhosted_block': [start,start+len(block)], + 'query_unit_add_saving': sum(r['unit_add_saving'] for r in pairs)} + + +def host_outputs(P, word, ports=None): + """Defer ten unused Z_U definitions; all returns are charged CLEAR/copy.""" + ports = list(P.U[:10]) if ports is None else list(ports) + need(len(ports) == len(set(ports)) == 10 and all(p in P.U for p in ports), 'ten distinct U output hosts') + roles = ['Q'+str(k) for k in range(8)] + ['D','E'] + aliases = dict(zip(roles, ['Z'+str(p) for p in ports])) + start = next(i for i,e in enumerate(word) if e == ['clear','Q0','query2']) + stop = next(i for i,e in enumerate(word) if e == ['clear','Q7','identity']) + 1 + definitions, skip = {}, set() + for name in aliases.values(): + refs = [i for i,e in enumerate(word[:stop]) if name in e[1:3]] + expected = [['clear',name,'current'],['add',name,'X'+name[1:],'1']] + need([word[i] for i in refs] == expected and refs[-1] < start, 'deferred host def-use '+name) + definitions[name] = {'source_events': refs, 'word': expected} + skip.update(refs) + out, restores = [], {} + for i,e in enumerate(word): + if i in skip: + continue + if e[0] == 'clear' and e[1] in aliases and e[2] == 'identity': + continue + if i == stop: + for name in aliases.values(): + restores[name] = [len(out),len(out)+1] + out.extend(definitions[name]['word']) + out.append([aliases.get(x,x) if isinstance(x,str) else x for x in e]) + return out, {'aliases': aliases, 'deferred_definitions': definitions, + 'restore_events': restores, 'source_window': [start,stop], + 'removed_terminal_clears': 10} + + +def invoice(word): + c = Counter(e[0] for e in word) + for e in word: + if e[0] == 'add': + coefficient = abs(Fraction(e[3])) + need(coefficient in (1, Fraction(1,4)), 'unpriced coefficient') + c['unit_ADD' if coefficient == 1 else 'quarter_ADD'] += 1 + c['native_wrappers'] = 2*c['line'] + c['scalar_allowance'] = 8*c['unit_ADD'] + 12*c['quarter_ADD'] + 2*c['clear'] + return dict(sorted(c.items())) + + +def construct(P,R,original): + unhosted, factoring = paired_word(P,R,original) + word, hosting = host_outputs(P,unhosted) + return word, {'factoring':factoring,'hosting':hosting,'invoice':invoice(word), + 'word_events':len(word),'unhosted_invoice':invoice(unhosted)} diff --git a/research/qq16-sequential-recovery/cost.py b/research/qq16-sequential-recovery/cost.py new file mode 100644 index 0000000000..a7fe62eec8 --- /dev/null +++ b/research/qq16-sequential-recovery/cost.py @@ -0,0 +1,293 @@ +"""Separate literal-word cost and acquisition checks; no source executable imports. + +Chris R / Clear1nsight with substantial OpenAI Codex assistance. Apache-2.0. +This module receives already authenticated source data from the orchestrator. +Counts are logical event counts and scalar allowances, never physical tariffs. +""" +from collections import Counter +from fractions import Fraction + + +def require(ok, message): + if not ok: + raise ValueError(message) + + +def invoice(word): + """Recount the entire literal word, rejecting unsupported ADD tariffs.""" + count = Counter() + active = None + private_peak = 0 + for index, event in enumerate(word): + require(type(event) is list and event, 'event structure') + op = event[0] + require(op in ('clear', 'add', 'line', 'map', 'begin', 'end', 'checkpoint'), + 'unpriced operation at ' + str(index)) + count[op] += 1 + if op == 'add': + require(len(event) == 4 and type(event[3]) is str, 'ADD exact coefficient text') + require(event[1] != event[2], 'ADD source/destination alias') + coefficient = abs(Fraction(event[3])) + require(coefficient in (1, Fraction(1, 4)), 'unsupported ADD coefficient') + count['unit_ADD' if coefficient == 1 else 'quarter_ADD'] += 1 + elif op == 'begin': + require(active is None and type(event[2]) is int and event[2] in (8, 16), + 'private begin contract') + active = (event[1], event[2]) + private_peak = max(private_peak, event[2]) + elif op == 'end': + require(active == (event[1], event[2]), 'private end contract') + active = None + elif op in ('line', 'map'): + require(active is None, 'native/map inside active private body') + require(active is None, 'unterminated private body') + return { + 'word_events': len(word), + 'H1_children': count['line'], + 'native_wrappers': 2 * count['line'], + 'cover_maps': count['map'], + 'unit_ADD': count['unit_ADD'], + 'quarter_ADD': count['quarter_ADD'], + 'CLEAR': count['clear'], + 'scalar_allowance': 8 * count['unit_ADD'] + 12 * count['quarter_ADD'] + 2 * count['clear'], + 'private_peak': private_peak, + } + + +def acquisition(source_word, U, T, A): + """Locate Q1's actual lifetime and the real 104-source recovery cut.""" + begin = source_word.index(['begin', 'B1_current_query', 8]) + end = source_word.index(['end', 'B1_current_query', 8]) + future = next(i for i, e in enumerate(source_word) + if e[0] == 'map' and e[2] == 2) + source_rows = [] + for k in range(8): + role = 'F' + str(k) + writes = [(i, e) for i, e in enumerate(source_word[begin:end], begin) + if e[0] in ('clear', 'add') and e[1] == role] + require(writes[0][1] == ['clear', role, 'wide'], 'Q1 initialization') + require(writes[-1][1] == ['clear', role, 'identity'], 'Q1 retirement') + require(all(e[0] == 'add' and e[2].startswith('W') + for _, e in writes[1:-1]), 'Q1 source form') + uses = [i for i in range(writes[-2][0] + 1, writes[-1][0]) + if source_word[i][0] == 'add' and source_word[i][2] == role] + require(uses and writes[-1][0] < end < future, 'Q1 lifetime precedes future cut') + source_rows.append({'role': role, 'initialization': writes[0][0], + 'last_accumulation': writes[-2][0], 'last_read': max(uses), + 'retirement': writes[-1][0], 'frame': 'F17', + 'private_at_future_cut': False}) + require(len(U) == 96 and len(T) == len(A) == 8 and len(set(U + T + A)) == 112, + 'source partition') + hosted = [] + for port in U[:8]: + name = 'Z' + str(port) + refs = [(i, e) for i, e in enumerate(source_word[:future]) if name in e[1:3]] + expected = [['clear', name, 'current'], ['add', name, 'X' + str(port), '1']] + require([e for _, e in refs] == expected, 'deferred Q1 hosting def-use') + hosted.append({'output': name, 'defer_definition_events': [i for i, _ in refs]}) + return {'source_current_query_begin': begin, 'source_current_query_end': end, + 'source_first_future_map': future, 'query_lifetimes': source_rows, + 'query_not_available_at_future_cut': True, + 'conservative_copy_acquisition': {'unit_ADD': 8, 'CLEAR': 8, + 'scalar_allowance': 80, + 'later_cleanup_or_output_restoration': 'additional obligation'}, + 'potential_owned_query_hosting': hosted, + 'hosting_status': 'def-use eligibility only; not implemented by selected scalar-factorization candidate', + 'selected_candidate_acquisition': 'uses the actual 104 corrected W fields; no Q1 retention or reacquisition', + 'full_residual_preservation': 'Actual W includes both Q2(X_T) and -M21 Q1(Y). All 104 source ports must occur.', + 'frame_scope': 'F17 is inherited from the authenticated canonical frame replay; not a modulus.'} + + +def compare(candidate, baseline3985, baseline4015): + bills = {'PR3985': invoice(baseline3985), 'PR4015': invoice(baseline4015), + 'candidate': invoice(candidate)} + require(bills['PR3985']['scalar_allowance'] == 27184, '3985 scalar baseline') + require(bills['PR4015']['scalar_allowance'] == 26944, '4015 scalar baseline') + for name in ('PR3985', 'PR4015'): + require(bills[name]['H1_children'] == 224 and bills[name]['cover_maps'] == 352, + 'source native/map baseline') + return {'complete_literal_invoices': bills, + 'delta_against_PR4015': {k: bills['candidate'][k] - bills['PR4015'][k] + for k in bills['candidate']}, + 'count_type': 'exact logical event counts; scalar allowance is an inherited constructive upper allowance', + 'provenance': 'new independent event recount, inherited scalar tariff 8/12/2', + 'unknown': ['physical routing/movement/control', 'decoder numerical precision and range', + 'actual native workspace exclusivity', 'supplier invocation/coverage and idle credits', + 'weighted recursive cost and both supplier caps'], + 'kappa_change': 'not established'} + + +def preservation(source, candidate, host_ports): + """Check exact preserved prefix/suffix and paid delayed output definitions.""" + start = next(i for i, e in enumerate(source) if e[0] == 'map' and e[2] == 2) + stop = max(i for i, e in enumerate(source) if e[0] == 'map' and e[2] == 2) + 1 + require(len(host_ports) == len(set(host_ports)), 'distinct output hosts') + removed = set() + definitions = [] + records = [] + for port in host_ports: + name = 'Z' + str(port) + occurrences = [i for i, e in enumerate(source[:stop]) if name in e[1:3]] + definition = [['clear', name, 'current'], ['add', name, 'X' + str(port), '1']] + require([source[i] for i in occurrences] == definition and max(occurrences) < start, + 'host output has live prefix use') + removed.update(occurrences) + definitions.extend(definition) + records.append({'host': name, 'deferred_source_events': occurrences}) + prefix = [e for i, e in enumerate(source[:start]) if i not in removed] + suffix = source[stop:] + require(candidate[:len(prefix)] == prefix, 'literal prefix changed beyond deferred output definitions') + require(candidate[-len(suffix):] == suffix, 'literal preserved suffix changed') + restore_start = len(candidate) - len(suffix) - len(definitions) + require(candidate[restore_start:restore_start + len(definitions)] == definitions, + 'paid deferred output restoration before suffix') + return {'source_replacement_interval': [start, stop], + 'preserved_prefix_events_after_deferral': len(prefix), + 'preserved_suffix_events': len(suffix), + 'paid_output_restoration_interval': [restore_start, restore_start + len(definitions)], + 'host_definitions': records, + 'prefix_value_contract': 'All source Q1 computation, its retirement, all U/T writes and all stage1 return maps retained literally.', + 'suffix_value_contract': 'Checkpoint, F0 inversion, every output finalization retained literally.'} + + +def pair_identity(R, pairs, expected_ports): + """Independent two-symbol check of every emitted pair's planned scalar circuit. + + This verifies the sharing identity, not the lowering's frames or source copies. + Those are separate complete-word replay obligations. + """ + flat = [p for pair in pairs for p in pair] + require(len(flat) == len(set(flat)) and set(flat) == set(expected_ports), + 'pair partition includes every actual U and T source exactly once') + histogram = Counter() + savings = 0 + for p, q in pairs: + r = [Fraction(R[k][p]) for k in range(8)] + s = [Fraction(R[k][q]) for k in range(8)] + require(all(x in (-1, 0, 1) for x in r + s), 'source coefficient alphabet') + require([i for i in range(8) if r[i]] == [i for i in range(8) if s[i]], 'common pair support') + require(sum(bool(x) for x in r) == 4, 'four-source support') + agree = [i for i in range(8) if r[i] and r[i] == s[i]] + disagree = [i for i in range(8) if r[i] and r[i] != s[i]] + require(len(agree) >= 2, 'pair fails strict ADD saving') + # Before D changes: deposit both original symbols into differing channels. + out = [[Fraction(0), Fraction(0)] for _ in range(8)] + for i in disagree: + out[i][0] += r[i] + out[i][1] += s[i] + # One legal unit ADD forms D+E; shared channels each read this same value. + for i in agree: + out[i][0] += r[i] + out[i][1] += r[i] + require(out == [[r[i], s[i]] for i in range(8)], 'complete two-source identity') + after = 2 * len(disagree) + 1 + len(agree) + require(after < 8, 'positive pair saving') + histogram[len(agree)] += 1 + savings += 8 - after + return {'pairs': len(pairs), 'agreements_histogram': dict(sorted(histogram.items())), + 'query_unit_ADD_before': 4 * len(expected_ports), + 'query_unit_ADD_after': 4 * len(expected_ports) - savings, + 'query_unit_ADD_saving': savings, + 'full_scalar_allowance_saving_if_other_counts_equal': 8 * savings, + 'proof': 'Two independent symbols per pair; all 104 ports appear exactly once; differing-channel reads precede destructive D+=E.'} + + +def selected_acquisition(source, candidate, U, T, host_ports): + """Audit the emitted acquisition events, independently of pair planning. + + Full logical values and phase frames remain the central replay's job. + This checks that every source is the real corrected owned W and that + its CLEAR/copy/map/native normalization has survived the lowering. + """ + retained = preservation(source, candidate, host_ports) + start = retained['preserved_prefix_events_after_deferral'] + stop = retained['paid_output_restoration_interval'][0] + block = candidate[start:stop] + owned_hosts = {'Z' + str(p) for p in host_ports} + require(len(owned_hosts) == 10 and set(host_ports).issubset(U), 'ten U-owned hosts') + query_initializations = block[:8] + require(len(query_initializations) == 8 and + all(e[0] == 'clear' and e[1] in owned_hosts and e[2] == 'query2' + for e in query_initializations) and + len({e[1] for e in query_initializations}) == 8, 'eight paid query initializations') + acquired = [] + for i, e in enumerate(block): + if e[0] != 'add' or not e[2].startswith('W'): + continue + port = int(e[2][1:]) + require(e[1] in owned_hosts and e[3] == '1', 'actual W copy into owned host') + require(i >= 1 and i + 2 < len(block), 'complete source normalization') + require(block[i-1] == ['clear', e[1], 'current'], 'source acquisition CLEAR') + require(block[i+1] == ['map', e[1], 2, port, False], 'stage2 source map') + require(block[i+2] == ['line', e[1], port, -1], 'source negative line') + acquired.append(port) + require(len(acquired) == len(set(acquired)) == 104 and set(acquired) == set(U + T), + 'all 104 corrected W values acquired once, including all T') + require(not any(e[0] == 'add' and e[2].startswith(('X', 'Y', 'F', 'G')) for e in block), + 'no free borrowed-Y bypass or retired private-query input') + require(not any(e[0] in ('clear', 'add', 'line', 'map') and e[1].startswith(('X', 'Y')) + for e in candidate), 'borrowed current values are read-only') + require(not any(e[0] in ('begin', 'end') for e in block), 'future query uses no private scope') + nonhost_writes = [e for e in block if e[0] in ('clear', 'add', 'line', 'map') and e[1] not in owned_hosts] + require(len(nonhost_writes) == 8 and all(e[0] == 'add' and e[1].startswith('W') + and e[2] in owned_hosts and e[3] == '1' for e in nonhost_writes), + 'only eight owned response deposits occur outside ten hosts') + return {'window': [start, stop], 'acquired_source_ports': sorted(acquired), + 'U_sources': len(set(acquired).intersection(U)), + 'T_sources': len(set(acquired).intersection(T)), + 'source_acquisition_unit_ADD': 104, 'source_acquisition_CLEAR': 104, + 'source_normalization_maps': 104, 'source_normalization_H1': 104, + 'source_acquisition_scalar_allowance': 104 * (8 + 2), + 'query_initialization_CLEAR': 8, 'query_initialization_scalar_allowance': 16, + 'owned_output_hosts': sorted(owned_hosts), 'extra_owned_banks': 0, + 'future_private_peak': 0, 'owned_output_banks_still_required': 224, + 'response_deposits': len(nonhost_writes), + 'Q1_retention_or_reacquisition': 'not used; corrected W already contains its paid prefix effect', + 'restoration': 'Ten delayed output definitions each use one CLEAR and one X copy; included in full invoice.', + 'physical_status': 'Logical def-use feasibility only; movement, native tag ABI and exclusivity are not priced here.'} + + +def negative_controls(source, candidate, U, T, host_ports): + """Small adversarial acquisition/charging controls, without replay claims.""" + from copy import deepcopy + retained = preservation(source, candidate, host_ports) + start = retained['preserved_prefix_events_after_deferral'] + stop = retained['paid_output_restoration_interval'][0] + first_copy = next(i for i in range(start, stop) + if candidate[i][0] == 'add' and candidate[i][2].startswith('W')) + t_copy = next(i for i in range(start, stop) + if candidate[i][0] == 'add' and candidate[i][2] == 'W' + str(T[0])) + cases = {} + trial = deepcopy(candidate); trial[first_copy][2] = 'Y' + trial[first_copy][2][1:] + cases['borrowed_Y_substitution'] = trial + trial = deepcopy(candidate); del trial[t_copy] + cases['omitted_T_source'] = trial + trial = deepcopy(candidate); del trial[first_copy - 1] + cases['uninitialized_source_host'] = trial + trial = deepcopy(candidate); trial[first_copy + 1][-1] = True + cases['wrong_source_map_direction'] = trial + trial = deepcopy(candidate); del trial[start] + cases['free_query_initialization'] = trial + trial = deepcopy(candidate); del trial[stop] + cases['omitted_output_restoration_CLEAR'] = trial + checked = {} + for name, trial in cases.items(): + try: + selected_acquisition(source, trial, U, T, host_ports) + except ValueError as exc: + checked[name] = str(exc) + else: + raise ValueError('acquisition control unexpectedly passed: ' + name) + try: + invoice([['add', 'Z0', 'W0', '1/2']]) + except ValueError as exc: + checked['unsupported_scalar_tariff'] = str(exc) + else: + raise ValueError('unpriced half ADD passed') + try: + invoice([['begin', 'F', 8], ['line', 'Z0', 1, -1], ['end', 'F', 8]]) + except ValueError as exc: + checked['native_inside_private_scope'] = str(exc) + else: + raise ValueError('native/private overlap passed') + return checked diff --git a/research/qq16-sequential-recovery/native.py b/research/qq16-sequential-recovery/native.py new file mode 100644 index 0000000000..93b57f906d --- /dev/null +++ b/research/qq16-sequential-recovery/native.py @@ -0,0 +1,37 @@ +"""Signed native checker adapted from ywz65 PR2707 to the new224-event inventory. +The signed kernel construction and source conventions remain credited to that +work and Arham Tahir's retained native lineage. Adapted from PR3985 by Chris R / OpenAI, Apache-2.0. +""" +def need(ok,why): + if not ok:raise ValueError(why) + +def kernel_checks(P, labels, word, wrong_negative_offset=False): + recipes = [] + columns = 0 + for port, q in enumerate(labels): + pivot = (q & -q).bit_length() - 1 + basis = (q,) + tuple(1 << i for i in range(9) if i != pivot) + inverse = {P.act(basis, x): x for x in range(512)} + need(len(inverse) == 512, 'line basis bijective') + for sign in (1, -1): + offset = q if sign == -1 else 0 + if wrong_negative_offset and sign == -1: + offset = 0 + for x in range(512): + middle = inverse[x] + actual = {P.act(basis, middle) ^ offset: (1, 1), + P.act(basis, middle ^ 1) ^ offset: (1, -1)} + expected = {x: (1, sign), x ^ q: (1, -sign)} + need(actual == expected, 'signed line native kernel/global phase') + columns += 1 + occurrences = [i for i, e in enumerate(word) + if e[0] == 'line' and e[2:] == [port, sign]] + need(len(occurrences) == ((2 if port in P.A else 1) if sign == 1 else (0 if port in P.A else 1)), 'all line occurrences') + recipes.append({'port': port, 'q': q, 'sign': sign, 'rank': 1, + 'left_columns': list(basis), 'left_offset': offset, + 'right_columns': [inverse[1 << j] for j in range(9)], + 'events': occurrences}) + need(sum(len(r['events']) for r in recipes) == 224, 'complete native child coverage') + return {'signed_rank_one_recipes': recipes, 'basis_columns': columns, + 'positive_children': 224, 'monomial_wrappers': 448, + 'spectator_action': 'identity outside first nine address coordinates'} diff --git a/research/qq16-sequential-recovery/replay.py b/research/qq16-sequential-recovery/replay.py new file mode 100644 index 0000000000..2c24518492 --- /dev/null +++ b/research/qq16-sequential-recovery/replay.py @@ -0,0 +1,86 @@ +"""Full recovery replay adapted from ywz65 PR2707; source-derived routed primitives +by Arham Tahir PR2681. Adds9 streamed owned correction/query arrays and requires +their zero return. Adapted from PR3985 by Chris R / Clear1nsight with OpenAI; Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +F16 = tuple((1 << i, 1) for i in range(9,25)) + +def bridge(P, g, q): + """Affine translation aligning g(F17) to F16*C_q, including phase.""" + target = P.phase(F16 + ((q, 1),)) + moved = P.phase(P.move(P.F17, g, 0)) + P.need(target[1] == moved[1], 'quadratic bridge discrepancy') + difference = [(x - y) % 4 for x, y in zip(target[0], moved[0])] + P.need(all(x in (0, 2) for x in difference), 'odd bridge discrepancy') + return sum((x // 2) << j for j, x in enumerate(difference)) + +def replay(P, w, routes, labels, x2, y2, expected, middle=None, extra_owned=()): + owned = {s + str(p) for s in ('Z', 'W') for p in range(112)} | set(extra_owned) + rows = {name: {(name, P.AXES): Q(1)} for name in owned}; frames = {name: () for name in owned} + for side, bank in (('X', x2), ('Y', y2)): + for p in range(112): + name = side + str(p); rows[name] = bank[p] + frames[name] = P.F17 + (((labels[p], -1),) if side == 'Y' else ()) + borrowed = {n: dict(r) for n, r in rows.items() if n[0] in ('X', 'Y')} + borrowed_frames = {n: frames[n] for n in borrowed} + active = set(); counts = Counter() + for index, e in enumerate(w): + op = e[0]; counts[op] += 1 + if op == 'begin': + P.need(not active, 'overlapping private sweeps') + active = {'F' + str(k) for k in range(8)} + if e[2] == 16: active |= {'G' + str(k) for k in range(8)} + P.need(e[2] == len(active), 'private scratch count') + for name in active: rows[name], frames[name] = {(name, P.AXES): Q(1)}, () + elif op == 'end': + P.need(len(active) == e[2], 'private boundary') + P.need(all(not rows[n] and P.phase(frames[n]) == P.phase(()) for n in active), 'scratch leak') + for name in active: del rows[name], frames[name] + active = set() + elif op == 'clear': + _, name, f = e; P.need(name in owned | active, 'clear borrowed input'); rows[name] = {} + frames[name] = {'wide': P.F17, 'current': P.F17, 'identity': (), 'query2': F16}.get(f) + if f.startswith('hole'): frames[name] = P.F17 + ((labels[int(f[4:])], -1),) + P.need(frames[name] is not None, 'unknown clear frame') + elif op == 'add': + _, dst, src, q = e + P.need(dst in owned | active and dst != src, 'ADD ownership/alias') + P.need(dst in rows and src in rows, 'nonlive ADD role') + P.need(P.phase(frames[dst]) == P.phase(frames[src]), 'ADD frame mismatch ' + str(index)) + q = Q(q); P.need(abs(q) in (1, Q(1, 4)), 'unpriced coefficient') + rows[dst] = P.add(rows[dst], rows[src], q) + counts['unit_ADD' if abs(q) == 1 else 'quarter_ADD'] += 1 + elif op == 'line': + _, name, p, sign = e + P.need(not active and name in owned and sign in (-1, 1), 'line boundary') + frames[name] += ((labels[p], sign),) + elif op == 'stage': + _, name, sign = e + P.need(not active and name in owned and sign in (-1, 1), 'stage boundary') + frames[name] += tuple((v, sign) for v in P.BLOCK) + elif op == 'map': + _, name, stage, p, inverse = e[:5] + P.need(not active and name in owned and stage in (1, 2), 'map inside private sweep') + g = routes[stage][p]; b = P.alignment(g, P.F17) if stage == 1 else bridge(P, g, labels[p]) + if inverse: b = P.act(g, b) + if len(e) > 5 and e[5] == 'omit_shift': b = 0 + if len(e) > 5 and e[5] == 'wide_shift': b = P.alignment(g, P.F25) + if len(e) > 5 and e[5] == 'wrong_inverse_shift': b = bridge(P, g, labels[p]) + frames[name] = P.move(frames[name], g, b); rows[name] = P.routed(g, rows[name]) + elif op == 'checkpoint': + P.need(not active, 'incomplete sweep at checkpoint') + if middle is not None: + P.need([rows['Z' + str(p)] for p in range(112)] == middle[0] + and [rows['W' + str(p)] for p in range(112)] == middle[1], 'inverse B1 checkpoint') + else: raise ValueError('unknown event') + P.need(not active, 'unterminated private sweep') + for side, bank in zip(('Z', 'W'), expected): + for p in range(112): + name = side + str(p) + P.need(rows[name] == bank[p], 'wrong output ' + name) + P.need(P.phase(frames[name]) == P.phase(P.F17), 'wrong final frame') + for name in extra_owned: + P.need(not rows[name] and P.phase(frames[name]) == P.phase(()), 'temporary leak') + P.need(all(rows[n] == r and frames[n] == borrowed_frames[n] for n, r in borrowed.items()), 'borrowed restoration') + return counts diff --git a/research/qq16-sequential-recovery/residual.py b/research/qq16-sequential-recovery/residual.py new file mode 100644 index 0000000000..82fc1e8a20 --- /dev/null +++ b/research/qq16-sequential-recovery/residual.py @@ -0,0 +1,161 @@ +"""Narrow ordered-residual witness from Chris R / Clear1nsight PR4003. +Source mathematics/replay: ywz65 PR2707 and Arham Tahir PR2681. +Copied exact witness logic; caller authenticates canonical source before use. +OpenAI-assisted integration. Apache-2.0. +""" +from fractions import Fraction as Q +from functools import lru_cache +import hashlib,json +def need(ok,message): + if not ok:raise ValueError(message) +def canonical(x):return json.dumps(x,sort_keys=True,separators=(',',':'),allow_nan=False).encode() +# Independent exact binary-column and sparse group-ring implementation. +def action(columns, value): + result = 0 + for j, column in enumerate(columns): + if value & (1 << j): + result ^= column + return result + +@lru_cache(None) +def product(left, right): + return tuple(action(left, v) for v in right) + +def add(left, right, coefficient=Q(1)): + out = dict(left) + for key, value in right.items(): + out[key] = out.get(key, Q(0)) + coefficient * value + if not out[key]: + del out[key] + return out + +def route(columns, row): + return {(source, product(columns, owner)): coefficient for (source, owner), coefficient in row.items()} + +def query(R, routes, stage, bank, ports): + result = [{} for _ in range(8)] + for k in range(8): + for p in ports: + if R[k][p]: + result[k] = add(result[k], route(routes[stage][p], bank[p]), R[k][p]) + return result + +def serialize(rows): + return [[[s, list(g), str(c)] for (s, g), c in sorted(row.items())] for row in rows] + +def prefix_rows(word, stop, P, routes): + rows = {s + str(p): {(s + str(p), P.AXES): Q(1)} for s in ('X', 'Y', 'Z', 'W') for p in range(112)} + for event in word[:stop]: + op = event[0] + if op == 'clear': + rows[event[1]] = {} + elif op == 'add': + rows[event[1]] = add(rows[event[1]], rows[event[2]], Q(event[3])) + elif op == 'map': + rows[event[1]] = route(routes[event[2]][event[3]], rows[event[1]]) + elif op in ('line', 'begin', 'end'): + pass # Native changes are frames, not logical array values. + else: + raise ValueError('unexpected prefix opcode: ' + op) + return rows + +def schur(R, routes, ports, bank, reverse=False): + result = [{} for _ in range(8)] + for p in ports: + g = product(routes[1][p], routes[2][p]) if reverse else product(routes[2][p], routes[1][p]) + for k in range(8): + for j in range(8): + c = R[k][p] * R[j][p] / 4 + if c: + result[k] = add(result[k], route(g, bank[j]), c) + return result + +def characters(rows, character): + result = [] + for row in rows: + out = {} + for (source, owner), c in row.items(): + key = (source, action(owner, character)) + out[key] = out.get(key, Q(0)) + c + if not out[key]: + del out[key] + result.append(out) + return result + +def check(P,R,routes,labels,word,L): + pins = {} + stop = next(i for i, e in enumerate(word) if e[0] == 'map' and e[2] == 2) + rows = prefix_rows(word, stop, P, routes) + x = [rows['X' + str(p)] for p in range(112)] + y = [rows['Y' + str(p)] for p in range(112)] + a = query(R, routes, 1, y, range(112)) + delta = [{} for _ in range(112)] + for p in P.U + P.T: + if p in P.T: + delta[p] = dict(x[p]) + for j in range(8): + delta[p] = add(delta[p], route(routes[1][p], a[j]), -R[j][p] / 4) + need(rows['W' + str(p)] == add(y[p], delta[p]), 'actual prefix residual at port ' + str(p)) + direct = query(R, routes, 2, delta, P.U + P.T) + mx = schur(R, routes, P.U + P.T, a) + tx = query(R, routes, 2, x, P.T) + derived = [add(tx[k], mx[k], -1) for k in range(8)] + need(direct == derived, 'ordered residual identity') + basis = [{('a' + str(j), P.AXES): Q(1)} for j in range(8)] + operator = schur(R, routes, P.U + P.T, basis) + term_records = [] + for p in P.U + P.T: + g = product(routes[2][p], routes[1][p]) + r = [int(R[k][p]) for k in range(8)] + term_records.append({'port': p, 'q': labels[p], 'r': r, 'owner_columns': list(g), 'character_one_image': action(g, 1)}) + need(len({tuple(t['owner_columns']) for t in term_records}) == 104, 'distinct ordered products') + need(len({t['character_one_image'] for t in term_records}) == 104, 'character separates all routes') + need(all(sum(c * c for c in t['r']) == 4 for t in term_records), 'nonzero rank-one coefficient matrices') + trivial = characters(operator, 0) + scalar13 = [{('a' + str(k), 0): Q(13)} for k in range(8)] + need(trivial == scalar13, 'trivial character Gram collapse') + one = characters(operator, 1) + need(one != [{('a' + str(k), 1): Q(13)} for k in range(8)], '13I must fail') + diagonal = {v: c for (s, v), c in one[0].items() if s == 'a0'} + need(len(diagonal) == 52 and set(diagonal.values()) == {Q(1, 4)} and 1 not in diagonal, '52-image diagonal witness') + # Arbitrary query a is realized by actual current Y supported only on A. + realizable_y = [{} for _ in range(112)] + for p in P.A: + for j in range(8): + realizable_y[p] = add(realizable_y[p], route(routes[1][p], basis[j]), R[j][p] / 4) + need(query(R, routes, 1, realizable_y, range(112)) == basis, 'actual current query surjection') + # For X=0 and this Y, bypass query is zero; actual query is -M a. + need(all(not realizable_y[p] for p in P.U + P.T), 'zero borrowed bypass input') + # A-response is injective: undo each involutive g2 and apply R_A to recover query. + response = [{} for _ in range(112)] + for p in P.A: + for j in range(8): + response[p] = add(response[p], route(routes[2][p], operator[j]), R[j][p] / 4) + need(query(R, routes, 2, response, P.A) == operator, 'response cannot erase residual') + # Exactly the same full phased-owner type is available to all query terms. + frame_checks = 0 + for p in P.U + P.T: + g = routes[2][p] + need(action(g, labels[p]) == labels[p], 'normal label fixed') + shifted_hole = P.move(P.F17 + ((labels[p], -1),), g, L.bridge(P, g, labels[p])) + need(P.phase(shifted_hole) == P.phase(L.F16), 'bypass hole frame') + frame_checks += 1 + wrong_order = schur(R, routes, P.U + P.T, basis, reverse=True) + need(characters(wrong_order, 1) != one, 'ordered-product control') + need(query(R, routes, 2, delta, P.U) != direct, 'omitted T residual control') + need(any(direct), 'zero correction control') + result = { + 'status': 'PASS_QQ16_ORDERED_SCHUR_OBSTRUCTION', 'source_pins': pins, + 'source_future_start_event': stop, 'prefix_ports_verified': 104, + 'residual_formula': 'Q2(X_T) - (1/4) sum_p r_p r_p^T [g2,p g1,p] Q1(Y)', + 'ordered_terms': term_records, + 'operator_sha256': hashlib.sha256(canonical(serialize(operator))).hexdigest(), + 'residual_sha256': hashlib.sha256(canonical(serialize(direct))).hexdigest(), + 'trivial_character': '13I', 'separating_character': 1, + 'distinct_character_images': 104, 'one_route_branch_lower_bound': 104, + 'diagonal_00_character_witness': [[v, str(c)] for v, c in sorted(diagonal.items())], + 'query_surjection': 'Y_A=K1,A a; Y_(U+T)=0; X=0 gives Q1(Y)=a', + 'response_injective': True, 'bypass_frame_checks': frame_checks, + 'semantic_controls': ['replace M with13I', 'reverse ordered products', 'omit T residual', 'omit entire correction'], + 'scope': 'Exact logical source residual and restricted single-owner-route-per-branch lower bound. Not a native-child lower bound, circuit optimality, scalar tensor-rank bound, physical supplier or kappa improvement.'} + return result diff --git a/research/qq16-sequential-recovery/test_verify.py b/research/qq16-sequential-recovery/test_verify.py new file mode 100644 index 0000000000..6958b10012 --- /dev/null +++ b/research/qq16-sequential-recovery/test_verify.py @@ -0,0 +1,57 @@ +"""Meaningful boundary controls and normal/optimized Git-free read-only replay.""" +import hashlib,json,os,shutil,subprocess,sys,tempfile,unittest +from pathlib import Path +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +def snapshot(root): + return {str(p.relative_to(root)):hashlib.sha256(p.read_bytes()).hexdigest() for p in root.rglob('*') if p.is_file()} +class Boundary(unittest.TestCase): + def setUp(self): + self.temp=tempfile.TemporaryDirectory(prefix='qq16-paired-export-') + self.addCleanup(self.temp.cleanup) + self.root=Path(self.temp.name)/'checkout';self.package=self.root/'research'/HERE.name + shutil.copytree(HERE,self.package,ignore=shutil.ignore_patterns('__pycache__')) + for row in json.loads((HERE/'SOURCES.json').read_text())['files']: + if row['usage']=='input': + target=self.root/row['path'];target.parent.mkdir(parents=True,exist_ok=True);shutil.copyfile(ROOT/row['path'],target) + def run_verify(self,*args,optimized=True,ok=True,needle='PASS_QQ16_PAIRED_SOURCE_RECOVERY'): + flags=['-I','-Werror','-B']+(['-O'] if optimized else []) + result=subprocess.run([sys.executable,*flags,str(self.package/'verify.py'),*args],cwd=self.root,capture_output=True,text=True,timeout=300) + output=result.stdout+result.stderr + self.assertEqual(result.returncode==0,ok,output) + if needle:self.assertIn(needle,output) + return output + def test_normal_and_optimized_readonly_export(self): + for p in self.root.rglob('*'): + if p.is_file():p.chmod(0o444) + before=snapshot(self.root) + self.run_verify(optimized=False) + self.run_verify(optimized=True) + self.assertFalse((self.root/'.git').exists()) + self.assertEqual(before,snapshot(self.root)) + def test_source_first_and_copied_executable(self): + source=self.root/'research/qq16-line-normalized-decoder/verify.py';raw=source.read_bytes() + source.write_bytes(b"raise RuntimeError('EXECUTED_UNAUTHENTICATED_SOURCE')\n"+raw) + output=self.run_verify(ok=False,needle='source hash:') + self.assertNotIn('EXECUTED_UNAUTHENTICATED_SOURCE',output) + source.write_bytes(raw) + replay=self.package/'replay.py';raw=replay.read_bytes() + replay.write_bytes(b"raise RuntimeError('EXECUTED_UNAUTHENTICATED_REPLAY')\n"+raw) + output=self.run_verify(ok=False,needle='copied executable integrity:') + self.assertNotIn('EXECUTED_UNAUTHENTICATED_REPLAY',output) + def test_manifests_vendor_word_and_exclusive_write(self): + for filename,needle in [('SOURCES.json','source manifest integrity'),('PREDECESSORS.json','predecessor manifest integrity'),('vendor/PR4015-WORD.json','retained word integrity:')]: + p=self.package/filename;raw=p.read_bytes();p.write_bytes(raw+b' ') + self.run_verify(ok=False,needle=needle);p.write_bytes(raw) + p=self.package/'WORD.json';raw=p.read_bytes();word=json.loads(raw);word.pop();p.write_text(json.dumps(word)) + self.run_verify(ok=False,needle='whole word mismatch');p.write_bytes(raw) + before=snapshot(self.root) + self.run_verify('--write',ok=False,needle='refuse overwrite') + self.assertEqual(before,snapshot(self.root)) + def test_typed_receipt_and_duplicate_keys(self): + p=self.package/'RESULT.json';raw=p.read_bytes();result=json.loads(raw) + result['storage']['additional_owned']=False;p.write_text(json.dumps(result)) + self.run_verify(ok=False,needle='whole typed receipt mismatch') + p.write_bytes(b'{"status":false,'+raw.lstrip()[1:]) + self.run_verify(ok=False,needle='duplicate JSON key:status') +if __name__=='__main__':unittest.main() diff --git a/research/qq16-sequential-recovery/vendor/PR3985-WORD.json b/research/qq16-sequential-recovery/vendor/PR3985-WORD.json new file mode 100644 index 0000000000..1518ddc9b6 --- /dev/null +++ b/research/qq16-sequential-recovery/vendor/PR3985-WORD.json @@ -0,0 +1 @@ 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diff --git a/research/qq16-sequential-recovery/verify.py b/research/qq16-sequential-recovery/verify.py new file mode 100644 index 0000000000..b77110d3c2 --- /dev/null +++ b/research/qq16-sequential-recovery/verify.py @@ -0,0 +1,114 @@ +#!/usr/bin/env python3 +"""Paired-source QQ16 recovery. Chris R / Clear1nsight with OpenAI; Apache-2.0. +Canonical decoder: ywz65 PR2707, Arham Tahir PR2681. See PREDECESSORS.json. +""" +import argparse,hashlib,json,types +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +STATUS='PASS_QQ16_PAIRED_SOURCE_RECOVERY' +def need(ok,why): + if not ok:raise ValueError(why) +def unique_pairs(pairs): + out={} + for k,v in pairs: + need(k not in out,'duplicate JSON key:'+k);out[k]=v + return out +def parse(raw):return json.loads(raw,object_pairs_hook=unique_pairs) +def typed(x): + if isinstance(x,dict):return ('dict',tuple((k,typed(v)) for k,v in sorted(x.items()))) + if isinstance(x,list):return ('list',tuple(map(typed,x))) + return (type(x).__name__,x) +def module(path,name): + m=types.ModuleType(name);m.__file__=str(path);exec(compile(path.read_bytes(),str(path),'exec'),m.__dict__);return m +def authenticate(): + raw=(HERE/'SOURCES.json').read_bytes() + need(hashlib.sha256(raw).hexdigest()=='e92bb29a19f214f4bfa87d561c4be19747e17adeecc8d0ee97280cccb10b1457','source manifest integrity') + pins={} + for r in parse(raw)['files']: + if r['usage']!='input':continue + data=(ROOT/r['path']).read_bytes() + need(hashlib.sha256(data).hexdigest()==r['sha256'],'source hash:'+r['path']) + need(hashlib.sha1(b'blob '+str(len(data)).encode()+b'\0'+data).hexdigest()==r['git_blob'],'source blob:'+r['path']) + pins[r['path']]=r['sha256'] + need(len(pins)==22,'complete canonical runtime input set') + raw=(HERE/'PREDECESSORS.json').read_bytes() + need(hashlib.sha256(raw).hexdigest()=='e1eab4b994bab3077f96bf943129bad2158e829426a12bb6e91ceee7b20d4271','predecessor manifest integrity') + for r in parse(raw)['files']: + if r['pr']==4015 and r['path'].endswith(('/replay.py','/native.py')): + need(hashlib.sha256((HERE/Path(r['path']).name).read_bytes()).hexdigest()==r['sha256'],'copied executable integrity:'+r['path']) + for pr,sha in [(3985,'a854f516f1d80635fb3414734f9e1c6d1251a5d79ef12e137c143fc6b0b51722'),(4015,'272d8c1bd172c29044eb227ec6d67a882501250978234685e035158f4479aa58')]: + need(hashlib.sha256((HERE/f'vendor/PR{pr}-WORD.json').read_bytes()).hexdigest()==sha,'retained word integrity:'+str(pr)) + return pins +def compute(): + pins=authenticate() # All inherited runtime inputs bound before execution. + L=module(ROOT/'research/qq16-line-normalized-decoder/verify.py','canonical_decoder') + P,R,routes,labels,_=L.load_source() + source=parse((ROOT/'research/qq16-line-normalized-decoder/WORD.json').read_text()) + need(typed(source)==typed(L.lower(P,R)),'canonical decoder regeneration') + C=module(HERE/'construction.py','paired_construction');B=module(HERE/'cost.py','independent_cost') + Replay=module(HERE/'replay.py','routed_replay');Native=module(HERE/'native.py','signed_native') + Residual=module(HERE/'residual.py','ordered_residual') + word,construction=C.construct(P,R,source) + need(typed(parse((HERE/'WORD.json').read_text()))==typed(word),'whole word mismatch') + need(typed(parse((HERE/'CONSTRUCTION.json').read_text()))==typed(construction),'construction receipt mismatch') + ledger=B.compare(word,*[parse((HERE/f'vendor/PR{p}-WORD.json').read_text()) for p in (3985,4015)]) + bill=ledger['complete_literal_invoices']['candidate'] + need(tuple(bill[k] for k in ('scalar_allowance','unit_ADD','quarter_ADD','CLEAR','H1_children','cover_maps','native_wrappers','private_peak','word_events'))==(26144,1820,896,416,224,352,448,16,3713),'complete expected paid invoice') + pairs=parse(json.dumps(B.pair_identity(R,[r['ports'] for r in construction['factoring']['pairs']],P.U+P.T))) + need(pairs['query_unit_ADD_saving']==100,'pair improvement') + acquisition=B.acquisition(source,P.U,P.T,P.A) + selected=B.selected_acquisition(source,word,P.U,P.T,P.U[:10]) + preservation=B.preservation(source,word,P.U[:10]) + cost_controls=B.negative_controls(source,word,P.U,P.T,list(P.U[:10])) + need(typed(parse((HERE/'ACQUISITION.json').read_text()))==typed(acquisition),'acquisition receipt mismatch') + expected_ledger={'comparison':ledger,'pair_identity':pairs,'preservation':preservation,'selected_acquisition':selected,'negative_controls':cost_controls} + need(typed(parse((HERE/'LEDGER.json').read_text()))==typed(expected_ledger),'ledger receipt mismatch') + original=[[{(s+str(p),P.AXES):Q(1)} for p in range(112)] for s in ('x','y')] + x2,y2,x1,y1=P.forward(R,routes,*original) + counts=Replay.replay(P,word,routes,labels,x2,y2,original,(x1,y1)) + independent=[[{(s+str(p),P.AXES):Q(1)} for p in range(112)] for s in ('X','Y')] + expected=P.inverse_formula(R,routes,*independent) + Replay.replay(P,word,routes,labels,*independent,expected) + need(counts['unit_ADD']==bill['unit_ADD'] and counts['quarter_ADD']==bill['quarter_ADD'],'independent interpreter invoice') + residual=Residual.check(P,R,routes,labels,source,L) + native=Native.kernel_checks(P,labels,word) + controls=[] + def reject(label,mutate): + w=deepcopy(word);mutate(w) + try:Replay.replay(P,w,routes,labels,*independent,expected) + except (ValueError,KeyError):controls.append(label);return + raise ValueError('accepted mutant:'+label) + aliases=construction['hosting']['aliases'];d,e,q0=(aliases[x] for x in ('D','E','Q0')) + reject('hold private query across native',lambda w:w.insert(w.index(['clear',q0,'query2']),['begin','illegal_query_hold',8])) + reject('omit second source initialization',lambda w:w.pop(w.index(['clear',e,'current']))) + reject('omit T native normalization',lambda w:w.pop(next(i for i,v in enumerate(w) if v[0]=='line' and v[2] in P.T and v[3]==-1))) + reject('omit shared pair addition',lambda w:w.pop(w.index(['add',d,e,'1']))) + def reorder(w): + i=w.index(['add',d,e,'1']);w.insert(i-2,w.pop(i)) + reject('destructive sum before differing reads',reorder) + reject('omit response inverse map',lambda w:w.pop(w.index(['map',d,2,P.A[0],True]))) + reject('omit tenth host restoration',lambda w:w.pop(construction['hosting']['restore_events'][e][1])) + try:Native.kernel_checks(P,labels,word,wrong_negative_offset=True) + except ValueError:controls.append('wrong negative native wrapper offset') + else:raise ValueError('accepted wrong native wrapper offset') + try:B.invoice([['add','a','b','1/2']]) + except ValueError:controls.append('unpriced scalar coefficient') + else:raise ValueError('accepted unsupported tariff') + return {'status':STATUS,'source_pins':pins,'word_sha256':hashlib.sha256((HERE/'WORD.json').read_bytes()).hexdigest(), + 'contract':'All224 original outputs F17; all224 borrowed current X/Y values and frames unchanged; arbitrary dirty owned storage; existing private scratch returned zero/identity.', + 'construction':construction,'ledger':ledger,'pair_identity':pairs,'acquisition':acquisition,'selected_acquisition':selected,'preservation':preservation,'residual':residual,'native_lowering':native, + 'validation':{'original_arrays':224,'arbitrary_current_arrays':224,'phase_coordinates':73,'semantic_controls':controls,'cost_controls':cost_controls}, + 'storage':{'owned_outputs':224,'additional_owned':0,'deferred_output_hosts':10,'private_peak':16,'future_private_peak':0}, + 'scope':'Exact logical scalar-allowance improvement800 vs PR4015,1040 vs PR3985. Arithmetic DAG changed; new numerical range/error proof required. Physical access, native workspace, supplier coverage, weighted recurrence and both caps unproved. No kappa change.'} +def main(): + ap=argparse.ArgumentParser();ap.add_argument('--write',action='store_true');a=ap.parse_args();target=HERE/'RESULT.json' + if a.write:need(not target.exists(),'refuse overwrite of existing receipt') + result=compute() + if a.write: + with target.open('x') as f:f.write(json.dumps(result,indent=2,sort_keys=True)+'\n') + else:need(typed(parse(target.read_text()))==typed(result),'whole typed receipt mismatch') + print(STATUS);print(json.dumps(result['ledger']['complete_literal_invoices']['candidate'],sort_keys=True)) +if __name__=='__main__':main()