From bd3bea4b4e09ead04355a477a7c28559427d1ef6 Mon Sep 17 00:00:00 2001 From: Nick Petalas Date: Thu, 15 Oct 2026 15:03:53 +0100 Subject: [PATCH] feat(research): audit corrected P104 dual precision --- research/p104-clean-dual-precision/CHECKS.md | 78 + .../PREDECESSOR.json | 13 + research/p104-clean-dual-precision/README.md | 170 + .../p104-clean-dual-precision/RESULT.json | 16739 ++++++++++++++++ .../p104-clean-dual-precision/SOURCES.json | 30 + research/p104-clean-dual-precision/TASK.json | 88 + .../p104-clean-dual-precision/VERIFY.json | 22 + research/p104-clean-dual-precision/WORD.json | 1 + .../p104-clean-dual-precision/test_verify.py | 101 + research/p104-clean-dual-precision/verify.py | 334 + 10 files changed, 17576 insertions(+) create mode 100644 research/p104-clean-dual-precision/CHECKS.md create mode 100644 research/p104-clean-dual-precision/PREDECESSOR.json create mode 100644 research/p104-clean-dual-precision/README.md create mode 100644 research/p104-clean-dual-precision/RESULT.json create mode 100644 research/p104-clean-dual-precision/SOURCES.json create mode 100644 research/p104-clean-dual-precision/TASK.json create mode 100644 research/p104-clean-dual-precision/VERIFY.json create mode 100644 research/p104-clean-dual-precision/WORD.json create mode 100644 research/p104-clean-dual-precision/test_verify.py create mode 100644 research/p104-clean-dual-precision/verify.py diff --git a/research/p104-clean-dual-precision/CHECKS.md b/research/p104-clean-dual-precision/CHECKS.md new file mode 100644 index 0000000000..c128cf467f --- /dev/null +++ b/research/p104-clean-dual-precision/CHECKS.md @@ -0,0 +1,78 @@ +# Verification and code/resource scope + +The reusable change is confined to this successor package. +Frozen source files, selected records and native compilers remain unchanged. + +## Checks performed + +- CPython 3.12.15 optimized exact replay passed. +- Registered Python 3.12 replay passed the scientific verifier and five + behavioral test groups, including Git-free CLI success, semantic failures, + source drift, typed receipt rejection and exclusive output creation. The + final behavioral suite also passes a sixth group for byte, frame and trace + bounds. +- CPython 3.13.5 replay with `-X dev -W error -I -O -B` passed with the identical + scientific receipt. +- The unchanged complete PR2497 native checker passed from a pinned local copy, + reporting 358 inputs, eight collectors, rank mass 3,126 and 12 controls. + This is inherited native evidence, not a new native interpreter or CI replay. +- One fresh Python 3.12 scientific replay took 7.995 seconds and used 33,276 KiB + peak resident memory on Linux x86_64 under WSL2. This is a local verifier + measurement, not a multiplication-runtime claim or a guaranteed limit. + +No hosted CI, proof assistant, independent human/peer review, rounded recursive +child, strict-zero physical erase, global hosting, all-size admission or selected +supplier cold replay was run or claimed. + +## Code inspection + +All changed production functions are at most 40 physical lines; test functions +are at most 31. Control flow is iterative, with no recursive call cycle. The +scientific replay checks return values and propagates file, JSON and arithmetic +failures. Explicit output uses exclusive creation and scoped file closure. +Semantic predicates use ordinary exceptions, so optimized Python does not +silence them. The typed receipt comparison uses canonical JSON, not Python's +numeric equality between integer and floating-point values. + +Every scientific trace loop is bounded by 4,982 events. A reverse endpoint pass +has 358 functionals, each at most 4,982 steps. Input rows use at most 358 symbols; +defect rows use at most 4,966 distinct event symbols. There are at most 359 live +roles, including C. GF(2) frames have at most nine generators and 512 elements; +the frame cache holds at most 2,048 entries. Input reads allocate at most +2,000,001 bytes before rejecting oversize input. Source-pin inventories are +limited to 16 rows each. Guard selection examines exactly 64 candidates. +Test subprocesses have 120-second timeouts and finite explicitly enumerated +cases. The registered commands have 120- and 180-second timeouts. + +The code directly calls the exact arithmetic and row routines. There is no +code generation, dynamic evaluation, user-selected executable import, global +configuration change or shared mutable research output. The test imports one +fixed sibling verifier module; unittest discovery is restricted to the six +methods in that file. All actual boundary assumptions are executable checks, +including frames, exact zeros, inverse-transpose rows, reverse sensitivities, +source identity and the complete signed receipt. + +## Managed-runtime deviations + +Rule 3, fixed memory allocation. Python dictionaries, sets and Fraction values +allocate during propagation, so fixed-capacity allocation is not available in +this exact standard-library implementation. This deviation covers only the +bounded finite replay. File, event, symbol, register and cache bounds above +limit live state; no persistent worker or unbounded queue exists. The fresh +replay measured 33,276 KiB peak RSS. A future larger domain must first reassess +those bounds rather than reuse this package's limits. + +Rules 8 and 9, decorators and test discovery. `lru_cache(maxsize=2048)` wraps +only the pure binary-span routine, and unittest plus importlib loads one fixed +local verifier. These managed-runtime mechanisms have bounded targets and no +input-controlled dispatch. Positive and negative CLI/semantic cases exercise +both paths. If this package acquires configurable plugins, replace this fixed +boundary with explicit authenticated module selection before accepting them. + +Rule 10, diagnostics. Registered checks enable Python development diagnostics +and warnings as errors for the behavioral suite; the production replay is also +checked under those flags on Python 3.13. No Python compiler, static type checker +or linter is configured in this package. Those unavailable checks are not +represented as completed analysis; exact behavioral and AST/function-length +inspection are the current controls. Any future repository-wide Python tooling +adoption should include both new code files without suppressions. diff --git a/research/p104-clean-dual-precision/PREDECESSOR.json b/research/p104-clean-dual-precision/PREDECESSOR.json new file mode 100644 index 0000000000..56038bad87 --- /dev/null +++ b/research/p104-clean-dual-precision/PREDECESSOR.json @@ -0,0 +1,13 @@ +{ + "schema_version": 1, + "files": [ + { + "local": "WORD.json", + "upstream_path": "research/p104-owned-collector-dual/CLEAN-DUAL.json", + "head": "7f2cf129d42030d3eb3975b7d1b07392c6d32a1b", + "sha256": "b699cf37a30d4569e758a45b8dfe1f7998680bcdc92258f6a2f5eb9d48553fe2", + "git_blob": "1311d5bbfd111b7c2de1f9b4d1807673c47a3f58", + "credit": "ywz65 / PR2497; exact zero-restored two-target inverse-transpose word" + } + ] +} diff --git a/research/p104-clean-dual-precision/README.md b/research/p104-clean-dual-precision/README.md new file mode 100644 index 0000000000..6238db8dbd --- /dev/null +++ b/research/p104-clean-dual-precision/README.md @@ -0,0 +1,170 @@ +# Precision and private-erasure debt in the corrected P104 dual + +A scoped precision and lifecycle audit submitted for review. No supplier or new kappa is claimed. + +[PR2497](https://github.com/CrocSwap/integer-mult-bounds/pull/2497), exact head +`7f2cf129d42030d3eb3975b7d1b07392c6d32a1b`, supplies a 4,982-event two-target +P104 backward word with eight private collectors restored to exact zero. +This package independently computes its signed error response at every cut. +It also exhibits a state-relative native defect that breaks zero-at-erasure. +This does not contradict the predecessor's exact theorem. Physical precision +and erasure were explicitly outside that theorem. + +## Exact result + +The norm is the maximum of individual register Hilbert norms. Each of the +358 arbitrary persistent inputs has norm at most B. Canonical native charts +and completed ideal transports are unitary. The main error model treats +signs and endpoint monomials as exact and permits independent defects after +all 3,104 ADDs and 1,654 native calls, for 4,758 sites. + +| Quantity | Sharp independent-input/defect coefficient | First attaining completed-event cut | +| --- | ---: | --- | +| Ideal input prefix P | 127/2 | 3327, X12 | +| Unit absolute defects A | 4761/4 | 4772, X7 | +| Weighted defects K | 6039/4 | 4772, X7 | +| Native-only unit defects | 839/2 | 4772, X7 | + +Weights are `1+abs(a)` for `dst += a src` and one for native calls. If the +208 sign operations also receive independent defects, there are 4,966 sites. +Then A is 4769/4 and K is 6047/4, both first attained at cut 4886 in X7. +P and the native-only coefficient do not change. Cuts count completed events; +individual event indices in the witnesses are zero-based. + +The unchanged positive profile is +`1216H1 + 74H2 + 86H3 + 104H4 + 48H5 + 42H6 + 76H7 + 8H8`, rank mass 3,126. +Neither that local bill nor this error calculation supplies global owners, +idle/residual costs, the remaining 102 target corrections or a supplier moment. + +### A conditional 17-bit feedback bound + +Suppose each native output defect is at most `u*norm(actual input)` and each +ADD defect is at most `u*(norm(actual dst)+abs(a)*norm(actual src))`. +Allocation is exact zero. The perturbed execution must permit disposal of a +possibly nonzero private residual. Let M bound the actual individual register +norm at every cut, including private collectors. With exact signs and +`K*u < 1`, the signed response implies + +```text +M <= (127/2)*B / (1 - (6039/4)*u) +max_cut_error <= (766953/8)*u*B / (1 - (6039/4)*u). +``` + +For each integer b at least zero, `u <= 2^(-b-17)` suffices for error at most +`B*2^-b` at every cut. Indeed `K*(P+1) = 779031/8 < 2^17`. +The sign-defective model also admits 17 bits, using `780063/8 < 2^17`. +Sixteen bits fail this sufficient inequality. This is not a lower bound on +actual rounding precision, and the feedback estimate need not be attained +by correlated arithmetic errors. + +The disposal premise matters. These bounds do not implement a strict zero-only +erase or prove that such an execution can proceed past its first residual. + +## Exact zero restoration does not survive arbitrary local defects + +Each collector has n unchanged D gather sources, with n equal to 3, 4 or 5. +It gathers them at its line, climbs rank seven, updates Q, returns to its line, +then subtracts the same D values. In logical coordinates its pre-erasure +residual is exactly the sum of defects in its own `2n` scalar updates and two +native transports. Earlier D errors cancel, and the Q update has no feedback +into C. The independent symbolic and reverse checks verify this exact support +at all eight erasures. + +Thus the sharp pre-erasure coefficients are `2n+2` for unit absolute defects, +`4n+2` for weighted defects, and two for native-only unit defects. In order, +the absolute coefficients are `12,10,8,10,10,10,8,12`; weighted coefficients +are `22,18,14,18,18,18,14,22`. Every exact input row at erasure is zero. + +A concrete state-relative counterexample uses only the first collector: + +```text +Initial D31 = v, norm(v)=1; all other logical inputs zero. +Before event 1825's rank-seven return, C has norm 1. +Inject the permitted return defect eta = v/1024, with u=1/1024. +Immediately before event 1831's erase, C = v/1024, not zero. +``` + +Under residual-tolerant disposal this particular return defect affects no +persistent output. A defect at the preceding climb, event 1823, also leaves +C nonzero and persists in Q7 and 52 source outputs. `RESULT.json` records +both exact impulse responses and the last inverse-gather impulse. Therefore +an error analysis for the exact word alone cannot admit its clean-storage +contract. A rounded implementation needs exact reversible cleanup, a justified +residual-tolerant disposal rule, or an explicit changed lifecycle and bill. + +## Proof and replay + +Conjugate each physical register and each new output defect by its actual +unitary chart. Transport preserves the logical value; ADD and sign are literal +rational row operations. Exact forward propagation keeps signs in all input +and defect rows. It takes absolute sums only when evaluating a norm. Examining +the updated register after each instruction covers every live register at every +cut, since unchanged rows retain their previous bounds. + +A separately implemented reverse-functional recurrence checks all 358 complete +endpoint rows and every attaining row, plus all eight private residual rows. +It agrees on 70,231 nonzero endpoint input/error coefficients. Literal collinear +executions attain each reported independent-input/defect maximum. A further +execution injects nonzero rational defects at all 4,966 sites and checks every +persistent output. Frame containment, common ADD charts, exact private zeros +and the inverse-transpose endpoint matrix are also checked. + +The certificate imports no predecessor executable, native compiler or +interpreter. Native correctness and normalization remain inherited premises +from the exact PR2497 realization. The full unchanged predecessor native replay +was run separately in a source-pinned local copy and passed, including its +12 controls. That replay is not part of this package's scalar replay hook. +PR2503's original uncorrected G/2-dual coefficients are not substituted here. + +Standard-library Python 3.12 or later, from the repository root: + +```sh +python3.12 -I -O -B research/p104-clean-dual-precision/verify.py +python3.12 -I -O -B research/p104-clean-dual-precision/test_verify.py +python3.12 -B scripts/research_package.py --package research/p104-clean-dual-precision +``` + +Default replay writes nothing and needs neither Git nor network. Byte-level +SHA256 and Git-blob pins authenticate inputs before mathematical execution. +`--write-result NEW_PATH` creates an independent receipt and refuses overwrite. +Controls reject omitted/wrong-sign cleanup, a missing return chart, an incorrect +source-sign boundary, source drift and a numerically equal but wrongly typed +receipt. The positive CLI control runs from a Git-free source export. +`RESULT.json` contains exact peak rows, private debts and a complete signed +updated-row stream hash. + +Local checks used CPython 3.12.15 and 3.13.5 on Linux x86_64 under WSL2. +No hosted CI, proof assistant, human review, rounded recursive child, full +selected cold replay, all-size theorem or physical tape program is claimed. +Code/resource limits and managed-runtime deviations are in `CHECKS.md`. + +## Sources and credit + +Scientific base and entry fetch are canonical main +`0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2`, priority revision 4. +`WORD.json` is byte-identical to PR2497's `CLEAN-DUAL.json`, authenticated in +`PREDECESSOR.json`; it is not a new construction. `SOURCES.json` pins the +retained channel and root fixture. Original sources and selected records stay +unchanged. + +Credit ywz65 / PR2497 for the complete zero-restored corrected word and +PR2503 for the original-dual precision precedent; Adam Gall / PR2096 for the +Hilbert-defect and feedback method; PR2458 for native two-target binding; +Ross Richardson / PR2445, commdata2338 / PR2393, Hiroki Kumazaki / PR2353, +Philippe Van Velzen, Chafik Boukhalfa / PR1991, Rohan Arun / PR1972, +Adam Gall / PR1940, Josie Elliston / PR1071, Ali Romman / PR1125 and PR1862, +icekylinx / PR531 and the retained geometry/compiler lineage. Predecessor notices +remain under `research/p104-native-channel/notices/`. New material is Apache-2.0. +No maintainer acceptance or supplier admission is claimed. + +## Open next questions + +1. Bind one actual rounded rank-seven return to the completed-output Hilbert + contract, then test pre-erasure storage. This determines whether the exact + cleanup can be implemented or needs a residual-tolerant lifecycle. Begin + with the literal event 1825 witness. The blocker is physical arithmetic and + disposal, not another scalar norm estimate. +2. Price a repaired collector lifecycle within the complete forward/backward + interface. First state how private residue is handled and count every + reset, cleanup, adapter and precision cost. Global hosting, the remaining + target corrections and all-size admission are still missing. diff --git a/research/p104-clean-dual-precision/RESULT.json b/research/p104-clean-dual-precision/RESULT.json new file mode 100644 index 0000000000..b8967a49e4 --- /dev/null +++ b/research/p104-clean-dual-precision/RESULT.json @@ -0,0 +1,16739 @@ +{ + "boundary_inputs": 358, + "counts": { + "add": 3104, + "erase": 8, + "sign": 208, + "transport": 1654, + "zero": 8 + }, + "dense_nonzero_defect_sites": 4966, + "events": 4982, + "exact_sign_sites": 4758, + "guards": { + "weighted": { + "K_times_P_plus_1": "780063/8", + "P_times_K": "767969/8", + "bits": 17 + }, + "weighted_exact_sign": { + "K_times_P_plus_1": "779031/8", + "P_times_K": "766953/8", + "bits": 17 + } + }, + "peaks": { + "absolute": { + "cut": 4886, + "register": "X7", + "row": [ + [ + "1000", + "-1/2" + ], + [ + "1001", + "-2" + ], + [ + "1002", + "-2" + ], + [ + "1003", + "1/2" + ], + [ + "1004", + "-2" + ], + [ + "1005", + "-2" + ], 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The native channel alone is not a supplier.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the P104 open next questions and its fixed local histogram; inspect why appending I-G/2 after source completion is not justified. #1991 supplies the checked native channel, not the missing correction.", + "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": "Choose one exact side-correction cut and bound its allowed cost from a favorable completed moment at a declared target. Stop or hand off if the necessary source/target access cannot be justified or even the optimistic total misses the target.", + "bottleneck_link": "Completing an already realized changed channel tests a concrete construction opportunity, instead of refining the incumbent packing. A positive local result still needs global and all-size admission.", + "allowed_variations": [ + "One correction factorization, one chronological cut, or one explicit hosting obstruction.", + "A changed correction schedule with an updated full bill and native frame contract." + ], + "scope_change_triggers": [ + "Recompiling the already certified low-rank channel without closing a new obligation.", + "Treating a pending ancestor, local histogram or unpriced side correction as an admitted global supplier." + ], + "overlap_terms": [ + "P104", + "I-G/2", + "side correction", + "native channel", + "1972", + "1991" + ] + }, + "scope_status": "changed", + "actual_scope": "Independently derive every-cut Hilbert precision coefficients and private-erasure residuals for PR2497's complete zero-restored two-target P104 backward word.", + "scope_change_reason": "Live overlap already supplies scalar/native corrections and transport obstructions. This scoped interface audit answers a precision and zero-erasure obligation left open by the completed word, not the original card's new-correction acceptance gate. PR2503 explicitly excludes this corrected word.", + "bottleneck_link": "A completed exact correction cannot be admitted as a clean-storage supplier without a rounded child and private-erasure contract. This side result prices local sensitivity and falsifies automatic rounded zero restoration.", + "budget_minutes": 60, + "stop_rule": "Stop once exact forward/reverse rows agree, independent-input and defect witnesses attain all-cut coefficients, and one valid local defect resolves the strict-zero-erasure implication. Bound each replay to120 seconds; no second research round.", + "outcome": "completed", + "evidence": "RESULT.json: P=127/2, exact-sign A=4761/4,K=6039/4, native-only839/2;17-bit sufficient feedback guard conditional on residual-tolerant disposal. All eight ideal erasures are zero, but a valid u=1/1024 rank-seven return defect leaves C=1/1024.", + "author": "Nick Petalas", + "ai_assistance": "Substantial computational assistance in implementation and verification; no independent human or proof-assistant review is claimed.", + "publication_status": "Prepared for public review; no maintainer acceptance claimed.", + "open_questions": [ + { + "question": "Can an actual rounded rank-seven return satisfy both the completed-output Hilbert contract and the required private erasure rule?", + "why_it_matters": "Exact logical zero cleanup does not survive arbitrary allowed native defects; finite precision alone does not implement clean erasure.", + "first_step": "Implement the first collector return from event1825 with D31=1, retain all dirty operands, and measure or prove its pre-erasure residual.", + "blocked_by": "No source-bound rounded child or physical disposal/reset contract." + }, + { + "question": "What is the complete charge for a repaired collector lifecycle in a paired hosted supplier?", + "why_it_matters": "Residual cleanup/reset and precision work may change the moment even when the exact transport profile is unchanged.", + "first_step": "State the admitted residual rule and bill every cleanup, adapter, reset and precision operation for one full lifetime.", + "blocked_by": "The rounded lifecycle, global hosting, remaining102 corrections and all-size compiler are missing." + } + ], + "freshness": { + "checked_utc": "2026-10-15T13:41:22Z", + "upstream_commit": "0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2", + "priority_revision": 4, + "source_changes": "None; canonical main and scientific inputs unchanged", + "open_prs": "2026-10-15T13:38:26.190287+00:00", + "discussion_snapshot": "2026-10-15T13:40:21.064346+00:00", + "complete_pagination": true, + "relevant_heads": { + "2503": "6ea94fa4e547a2038deb3aa2064f6d4e4caa5bf5", + "2497": "7f2cf129d42030d3eb3975b7d1b07392c6d32a1b", + "2458": "3170afd2fc13a990bfe28f5ab6421bcda4ffd0f6" + }, + "coverage_limits": "Open PR bodies, Discussion bodies/comments/replies, local README/TASK/ledger only. No arbitrary-diff or literature novelty guarantee." + } +} diff --git a/research/p104-clean-dual-precision/VERIFY.json b/research/p104-clean-dual-precision/VERIFY.json new file mode 100644 index 0000000000..0850e4daeb --- /dev/null +++ b/research/p104-clean-dual-precision/VERIFY.json @@ -0,0 +1,22 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/p104-native-channel/inputs/LOWRANK-WITNESS.json", + "research/p104-native-channel/inputs/P104-FIXTURE.json" + ], + "commands": [ + { + "argv": ["{python}", "-I", "-O", "-B", "{package}/verify.py"], + "timeout_seconds": 120, + "checks": "Exact all-cut signed input/defect rows, independent reverse functionals, complete inverse-transpose boundary, attaining executions, dense nonzero defects, private residual witnesses and strict scientific receipt" + }, + { + "argv": ["{python}", "-X", "dev", "-W", "error", "-I", "-B", "{package}/test_verify.py"], + "timeout_seconds": 180, + "checks": "Semantic cleanup/chart/sign controls, Git-free CLI positive fixture, source drift, typed receipt rejection, exclusive output and a state-relative private-erasure counterexample" + } + ] +} diff --git a/research/p104-clean-dual-precision/WORD.json b/research/p104-clean-dual-precision/WORD.json new file mode 100644 index 0000000000..1311d5bbfd --- /dev/null +++ b/research/p104-clean-dual-precision/WORD.json @@ -0,0 +1 @@ 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diff --git a/research/p104-clean-dual-precision/test_verify.py b/research/p104-clean-dual-precision/test_verify.py new file mode 100644 index 0000000000..3a05cf8e0e --- /dev/null +++ b/research/p104-clean-dual-precision/test_verify.py @@ -0,0 +1,101 @@ +"""Behavioral controls for the source-bound exact sensitivity replay.""" +import copy +import importlib.util +import json +from pathlib import Path +import shutil +import subprocess +import sys +import tempfile +import unittest + +HOME = Path(__file__).resolve().parent +SPEC = importlib.util.spec_from_file_location("clean_dual_audit", HOME / "verify.py") +AUDIT = importlib.util.module_from_spec(SPEC) +SPEC.loader.exec_module(AUDIT) + + +class SensitivityControls(unittest.TestCase): + @classmethod + def setUpClass(cls): + cls.word = AUDIT.load_json(HOME / "WORD.json") + + def test_cleanup_omission_and_wrong_sign_fail_zero(self): + for coefficient in ("0", "1"): + bad = copy.deepcopy(self.word) + bad["program"][1830][3] = coefficient + with self.assertRaisesRegex(ValueError, "ideal private erasure must be zero"): + AUDIT.forward(bad) + + def test_missing_native_return_fails_common_chart(self): + bad = copy.deepcopy(self.word) + bad["program"][1825] = ["sign", "C", "-1", bad["program"][1825][2]] + with self.assertRaisesRegex(ValueError, "common ADD chart"): + AUDIT.forward(bad) + + def test_wrong_source_sign_rejects_complete_boundary(self): + bad = copy.deepcopy(self.word) + bad["program"][0][1] = "X1" + inputs, errors, *_ = AUDIT.forward(bad) + with self.assertRaisesRegex(ValueError, "complete inverse-transpose boundary: X0"): + AUDIT.boundary_check(inputs, errors, bad) + + def test_input_and_trace_bounds(self): + self.assertEqual(AUDIT.span((1, 2)), frozenset((0, 1, 2, 3))) + self.assertEqual(AUDIT.span(tuple(1 << i for i in range(9))), frozenset(range(512))) + with self.assertRaisesRegex(ValueError, "binary frame"): + AUDIT.span(tuple(1 << i for i in range(10))) + bad = copy.deepcopy(self.word) + bad["program"].append(bad["program"][-1]) + with self.assertRaisesRegex(ValueError, "fixed word size"): + AUDIT.forward(bad) + with tempfile.TemporaryDirectory() as temporary: + oversized = Path(temporary) / "oversized.json" + oversized.write_bytes(b" " * (AUDIT.MAX_BYTES + 1)) + with self.assertRaisesRegex(ValueError, "bounded input bytes"): + AUDIT.load_json(oversized) + + def test_signed_cancellation_and_rounded_zero_debt(self): + row = {"dirty": AUDIT.Q(1)} + AUDIT.add_scaled(row, {"dirty": AUDIT.Q(-1)}, AUDIT.Q(1)) + self.assertEqual(row, {}) + self.assertEqual(AUDIT.scalar_execute(self.word, 1831, "C", {"D31": AUDIT.Q(1)}, {}), 0) + self.assertEqual(AUDIT.scalar_execute(self.word, 1831, "C", {"D31": AUDIT.Q(1)}, {1825: AUDIT.Q(1, 1024)}), AUDIT.Q(1, 1024)) + state = AUDIT.scalar_execute(self.word, AUDIT.EVENTS, None, {}, {1825: AUDIT.Q(1)}) + self.assertEqual(state, {r: 0 for r in self.word["initial_frames"]}) + + def test_git_free_cli_source_receipt_and_exclusive_output(self): + with tempfile.TemporaryDirectory() as temporary: + root = Path(temporary) + package = root / "research" / HOME.name + shutil.copytree(HOME, package, ignore=shutil.ignore_patterns("__pycache__")) + for row in AUDIT.load_json(HOME / "SOURCES.json")["files"]: + if row["usage"] == "input": + target = root / row["path"] + target.parent.mkdir(parents=True, exist_ok=True) + shutil.copyfile(AUDIT.ROOT / row["path"], target) + command = [sys.executable, "-I", "-O", "-B", str(package / "verify.py")] + result = subprocess.run(command, capture_output=True, text=True, timeout=120, check=False) + self.assertEqual(result.returncode, 0, result.stderr) + self.assertIn("PASS_P104_CLEAN_DUAL_PRECISION", result.stdout) + receipt = package / "RESULT.json" + original = receipt.read_bytes() + corrupted = json.loads(original) + corrupted["events"] = float(corrupted["events"]) + receipt.write_text(json.dumps(corrupted)) + result = subprocess.run(command, capture_output=True, text=True, timeout=120, check=False) + self.assertNotEqual(result.returncode, 0) + self.assertIn("committed scientific receipt mismatch", result.stderr) + receipt.write_bytes(original) + result = subprocess.run(command + ["--write-result", str(receipt)], capture_output=True, text=True, timeout=120, check=False) + self.assertNotEqual(result.returncode, 0) + self.assertIn("FileExistsError", result.stderr) + word_path = package / "WORD.json" + word_path.write_bytes(word_path.read_bytes() + b" ") + result = subprocess.run(command, capture_output=True, text=True, timeout=120, check=False) + self.assertNotEqual(result.returncode, 0) + self.assertIn("source SHA256", result.stderr) + + +if __name__ == "__main__": + unittest.main() diff --git a/research/p104-clean-dual-precision/verify.py b/research/p104-clean-dual-precision/verify.py new file mode 100644 index 0000000000..b1ccd77868 --- /dev/null +++ b/research/p104-clean-dual-precision/verify.py @@ -0,0 +1,334 @@ +"""Independent exact scalar sensitivity of the pinned PR2497 clean dual. + +No predecessor executable, native interpreter or compiler is imported. +Completed native calls are assumed to have the certified unitary chart action. +""" +import argparse +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +import hashlib +from itertools import combinations, product +import json +from pathlib import Path + +HOME = Path(__file__).resolve().parent +ROOT = HOME.parents[1] +EVENTS = 4982 +INPUTS = 358 +MAX_BYTES = 2_000_000 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def bounded_bytes(path): + with path.open("rb") as stream: + data = stream.read(MAX_BYTES + 1) + require(len(data) <= MAX_BYTES, "bounded input bytes") + return data + + +def load_json(path): + return json.loads(bounded_bytes(path)) + + +def source_check(): + sources = load_json(HOME / "SOURCES.json")["files"] + predecessors = load_json(HOME / "PREDECESSOR.json")["files"] + require(len(sources) <= 16 and len(predecessors) <= 16, "bounded source pin inventory") + for row in sources: + if row["usage"] == "input": + check_bytes(ROOT / row["path"], row) + for row in predecessors: + check_bytes(HOME / row["local"], row) + + +def check_bytes(path, pin): + data = bounded_bytes(path) + require(hashlib.sha256(data).hexdigest() == pin["sha256"], "source SHA256: " + str(path)) + blob = b"blob " + str(len(data)).encode() + b"\0" + data + require(hashlib.sha1(blob).hexdigest() == pin["git_blob"], "source Git blob: " + str(path)) + + +@lru_cache(maxsize=2048) +def span(frame): + require(len(frame) <= 9 and all(type(v) is int and 0 < v < 512 for v in frame), "binary frame") + values = {0} + for vector in frame: + values |= {x ^ vector for x in tuple(values)} + require(len(values) == 1 << len(frame), "independent frame basis") + return frozenset(values) + + +def add_scaled(destination, source, coefficient): + for key, value in source.items(): + result = destination.get(key, Q(0)) + coefficient * value + if result: + destination[key] = result + else: + destination.pop(key, None) + + +def weights(event): + op = event[0] + return {"absolute": Q(1), + "weighted": Q(1) + abs(Q(event[3])) if op == "add" else Q(1), + "native_only": Q(op == "transport"), + "absolute_exact_sign": Q(op != "sign"), + "weighted_exact_sign": (Q(1) + abs(Q(event[3])) if op == "add" else Q(op != "sign"))} + + +def update(event, inputs, errors, frames, site): + op, reg = event[:2] + if op == "zero": + require(reg == "C" and reg not in frames, "fresh private collector") + inputs[reg], errors[reg], frames[reg] = {}, {}, span(tuple(event[2])) + elif op == "erase": + require(reg == "C" and frames[reg] == span(tuple(event[2])), "private erase frame") + require(not inputs[reg], "ideal private erasure must be zero") + del inputs[reg], errors[reg], frames[reg] + elif op == "transport": + old, new, rank = event[2:] + a, b = span(tuple(old)), span(tuple(new)) + require(frames[reg] == a and (a <= b or b <= a), "nested transport entry") + require(type(rank) is int and 0 < rank == abs(len(old) - len(new)), "paid transport rank") + frames[reg] = b + errors[reg][site] = Q(1) + elif op == "add": + src, coefficient = event[2], Q(event[3]) + require(reg != src and frames[reg] == frames[src] == span(tuple(event[4])), "common ADD chart") + require(coefficient.denominator <= 4 and abs(coefficient) <= 2, "bounded scalar coefficient") + add_scaled(inputs[reg], inputs[src], coefficient) + add_scaled(errors[reg], errors[src], coefficient) + errors[reg][site] = Q(1) + elif op == "sign": + require(event[2] == "-1" and frames[reg] == span(tuple(event[3])), "source sign") + inputs[reg] = {k: -v for k, v in inputs[reg].items()} + errors[reg] = {k: -v for k, v in errors[reg].items()} + errors[reg][site] = Q(1) + else: + raise ValueError("unsupported operation") + + +def consider(peaks, metric, value, cut, register, row): + if metric not in peaks or value > peaks[metric]["value"]: + peaks[metric] = dict(value=value, cut=cut, register=register, row=dict(row)) + + +def forward(word): + program, initial = word["program"], word["initial_frames"] + require(len(program) == EVENTS and len(initial) == INPUTS, "fixed word size") + require(set(initial) == set(word["final_frames"]) and "C" not in initial, "persistent boundary") + inputs = {r: {r: Q(1)} for r in initial} + errors = {r: {} for r in initial} + frames = {r: span(tuple(f)) for r, f in initial.items()} + site_weights, peaks, erased = {}, {}, [] + private_start = None + digest = hashlib.sha256() + consider(peaks, "input", Q(1), 0, next(iter(initial)), inputs[next(iter(initial))]) + for index, event in enumerate(program): + reg, op = event[1], event[0] + if op == "zero": + require(private_start is None, "nonoverlapping private lifetimes") + private_start = index + if op == "erase": + require(private_start is not None, "live private lifetime") + erased.append(dict(start=private_start, cut=index, input_row=dict(inputs[reg]), error_row=dict(errors[reg]))) + private_start = None + update(event, inputs, errors, frames, index) + if op not in ("add", "transport", "sign"): + continue + site_weights[index] = weights(event) + consider(peaks, "input", sum(map(abs, inputs[reg].values())), index + 1, reg, inputs[reg]) + for metric in site_weights[index]: + value = sum(abs(v) * site_weights[k][metric] for k, v in errors[reg].items()) + consider(peaks, metric, value, index + 1, reg, errors[reg]) + payload = [index + 1, reg, encode_row(inputs[reg]), encode_row(errors[reg])] + digest.update(json.dumps(payload, separators=(",", ":")).encode() + b"\n") + require(frames == {r: span(tuple(f)) for r, f in word["final_frames"].items()}, "all exit frames") + require(private_start is None and len(erased) == 8 and len(site_weights) == 4966, "private lifetimes and defect sites") + return inputs, errors, site_weights, peaks, erased, digest.hexdigest() + + +def reverse_functional(program, cut, register): + """Reverse one output functional, independently of forward row updates.""" + require(0 <= cut <= len(program), "reverse cut range") + adjoint, defects = {register: Q(1)}, {} + for index in range(cut - 1, -1, -1): + event = program[index] + op, reg = event[:2] + coefficient = adjoint.get(reg, Q(0)) + if op in ("add", "transport", "sign") and coefficient: + defects[index] = coefficient + if op == "add": + source = event[2] + value = adjoint.get(source, Q(0)) + Q(event[3]) * coefficient + if value: + adjoint[source] = value + else: + adjoint.pop(source, None) + elif op == "sign" and coefficient: + adjoint[reg] = -coefficient + elif op in ("zero", "erase"): + adjoint.pop(reg, None) + return adjoint, defects + + +def ports(): + roots = set() + for i, j in combinations(range(8), 2): + for sign in (-1, 1): + root = [0] * 8 + root[i], root[j] = 2, sign * 2 + roots.add(tuple(root)) + for signs in product((-1, 1), repeat=7): + if signs.count(-1) % 2 == 0: + roots.add((1, *signs)) + fixture = load_json(ROOT / "research/p104-native-channel/inputs/P104-FIXTURE.json")["section4_explicit_P104"] + removed = set(map(tuple, fixture["F0"] + fixture["C"])) + require(len(roots) == 120 and len(removed) == 16 and removed <= roots, "root fixture") + return sorted(roots - removed) + + +def boundary_check(inputs, errors, word): + roots = ports() + count = 0 + for register in word["initial_frames"]: + expected = {register: Q(1)} + if register.startswith("X"): + source = int(register[1:]) + for target, root in enumerate(roots): + value = -Q(int(target == source)) if target < 2 else -Q(sum(a*b for a, b in zip(root, roots[source])), 8) + if value: + expected["Y" + str(target)] = value + require(inputs[register] == expected, "complete inverse-transpose boundary: " + register) + a, e = reverse_functional(word["program"], EVENTS, register) + require(a == inputs[register] and e == errors[register], "reverse endpoint row: " + register) + count += len(a) + len(e) + return count + + +def encode_row(row): + return [[str(k), str(v)] for k, v in sorted(row.items(), key=lambda pair: str(pair[0]))] + + +def scalar_execute(word, cut, register, values, defects): + state = {r: values.get(r, Q(0)) for r in word["initial_frames"]} + for index, event in enumerate(word["program"][:cut]): + op, reg = event[:2] + if op == "zero": + state[reg] = Q(0) + elif op == "erase": + del state[reg] + elif op == "add": + state[reg] += Q(event[3]) * state[event[2]] + elif op == "sign": + state[reg] = -state[reg] + if op in ("add", "transport", "sign"): + state[reg] += defects.get(index, Q(0)) + return state if register is None else state[register] + + +def dense_check(word, inputs, errors, site_weights): + values = {r: Q((i % 13) - 6, 7) for i, r in enumerate(word["initial_frames"])} + injections = {i: Q((i % 7) + 1, 11) * (-1 if i % 2 else 1) for i in site_weights} + state = scalar_execute(word, EVENTS, None, values, injections) + for register in values: + expected = sum(v*values[k] for k, v in inputs[register].items()) + expected += sum(v*injections[k] for k, v in errors[register].items()) + require(state[register] == expected, "literal dense defect endpoint: " + register) + return len(injections) + + +def witness_check(word, site_weights, peaks, erased): + for metric, peak in peaks.items(): + a, e = reverse_functional(word["program"], peak["cut"], peak["register"]) + row = a if metric == "input" else e + require(row == peak["row"], "reverse peak row: " + metric) + signed = {k: (Q(1) if v > 0 else Q(-1)) for k, v in row.items()} + if metric == "input": + actual = scalar_execute(word, peak["cut"], peak["register"], signed, {}) + else: + injections = {k: v * site_weights[k][metric] for k, v in signed.items()} + actual = scalar_execute(word, peak["cut"], peak["register"], {}, injections) + require(actual == peak["value"], "literal peak attainment: " + metric) + for row in erased: + a, e = reverse_functional(word["program"], row["cut"], "C") + require(a == row["input_row"] == {} and e == row["error_row"], "private residual reverse row") + local = {i: Q(1) for i in range(row["start"], row["cut"]) + if word["program"][i][0] in ("add", "transport") and word["program"][i][1] == "C"} + require(e == local, "private debt is exactly the local collector update defects") + first = erased[0] + native_sites = [i for i in first["error_row"] if word["program"][i][0:2] == ["transport", "C"]] + cleanup_site = max(first["error_row"]) + witnesses = [] + for site in [min(native_sites), max(native_sites), cleanup_site]: + residual = scalar_execute(word, first["cut"], "C", {}, {site: Q(1)}) + require(residual == first["error_row"][site] == 1, "unit defect survives until erase") + endpoint = scalar_execute(word, EVENTS, None, {}, {site: Q(1)}) + witnesses.append(dict(site=site, erase_cut=first["cut"], residual=str(residual), + event=word["program"][site], endpoint=encode_row({r:v for r,v in endpoint.items() if v}))) + require(scalar_execute(word, max(native_sites), "C", {"D31": Q(1)}, {}) == 1, + "state-relative return witness has unit preinstruction norm") + state_residual = scalar_execute(word, first["cut"], "C", {"D31": Q(1)}, {max(native_sites): Q(1, 1024)}) + require(state_residual == Q(1, 1024), "state-relative permitted return defect breaks zero erasure") + return {"unit_impulses": witnesses, + "state_relative_return": {"input": "D31=1, other inputs zero", "site": max(native_sites), + "u": "1/1024", "preinstruction_norm": "1", + "erase_cut": first["cut"], "residual": str(state_residual)}} + + +def report(word): + inputs, errors, site_weights, peaks, erased, digest = forward(word) + checked = boundary_check(inputs, errors, word) + dense_sites = dense_check(word, inputs, errors, site_weights) + residual = witness_check(word, site_weights, peaks, erased) + require(all(not r["input_row"] for r in erased), "all exact private zeros") + counts = dict(Counter(e[0] for e in word["program"])) + profile = Counter(e[4] for e in word["program"] if e[0] == "transport") + metrics = {m: {"value": str(p["value"]), "cut": p["cut"], "register": p["register"], + "row": encode_row(p["row"])} for m, p in peaks.items()} + private = [] + for row in erased: + private.append({"start_cut": row["start"], "erase_cut": row["cut"], + "native_only": str(sum(abs(v)*site_weights[k]["native_only"] for k,v in row["error_row"].items())), + "absolute": str(sum(map(abs, row["error_row"].values()))), + "weighted": str(sum(abs(v)*site_weights[k]["weighted"] for k,v in row["error_row"].items())), + "error_row": encode_row(row["error_row"])}) + guards = {} + for metric in ("weighted", "weighted_exact_sign"): + p, k = peaks["input"]["value"], peaks[metric]["value"] + candidates = [bits for bits in range(64) if Q(2)**bits >= k*(p+1)] + require(bool(candidates), "guard within64 bits") + guards[metric] = {"bits": candidates[0], "P_times_K": str(p*k), "K_times_P_plus_1": str(k*(p+1))} + return dict(status="PASS_P104_CLEAN_DUAL_PRECISION", events=EVENTS, boundary_inputs=INPUTS, + update_sites=len(site_weights), exact_sign_sites=sum(e[0] in ("add", "transport") for e in word["program"]), + counts=counts, positive_profile=dict(sorted(profile.items())), rank_mass=sum(r*n for r,n in profile.items()), + peaks=metrics, private_residuals=private, residual_witness=residual, + reverse_endpoint_nonzero_coefficients=checked, dense_nonzero_defect_sites=dense_sites, + signed_stream_sha256=digest, guards=guards, + scope="Finite scalar sensitivity conditional on certified unitary native charts, exact allocation and residual-tolerant disposal in perturbed runs. Strict zero-only erasure is not preserved. Not a rounded supplier implementation.") + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--write-result", type=Path) + args = parser.parse_args() + source_check() + result = report(load_json(HOME / "WORD.json")) + if args.write_result: + with args.write_result.open("x", encoding="utf-8") as stream: + json.dump(result, stream, indent=2, sort_keys=True) + stream.write("\n") + else: + expected = load_json(HOME / "RESULT.json") + require(json.dumps(result, sort_keys=True, allow_nan=False) == + json.dumps(expected, sort_keys=True, allow_nan=False), "committed scientific receipt mismatch") + print("PASS_P104_CLEAN_DUAL_PRECISION " + " ".join(m + "=" + p["value"] for m, p in result["peaks"].items()) + " no_new_kappa") + + +if __name__ == "__main__": + main()