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Add finite exact MomentTail empirical checks and hosted self-test - #545

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codex/cbz-finite-moment-tail-01a11d37-20261030

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@d6g8k5htny-coder d6g8k5htny-coder commented Oct 30, 2026 •

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This adds a source-bound empirical component for the finite rational specialization of ResearchFormalCoreR1.p02_lm009_moment40_tail, with strict input/premise refusal and a hosted self-test that retains every command's actual outcome.

Final candidate head: e1cf617b6bc979b75d420f28df17ddad59426522; tree: 87cd19c612906a61bca7659fa24e50a3958e0eb3. The four-file PR adds the adapter, meaningful tests, complete machine-readable contract and one pinned workflow. The original three-file contribution 793ddb485b7743e2ab85037f14e3c49ae12bfd22 remains its parent. Existing Lean, original tests, formal manifests and prior workflows are unchanged.

The exact finite law accepts nonnegative normalized rational masses, signed rational jet values, any r>0, positive epsilon and an actually sufficient fortieth-moment bound M. It evaluates the strict event epsilon < r*R^5 and exact bound (M/epsilon^8)*r^8 with Fraction/integer arithmetic. Invalid/float/bool/nonfinite inputs, false premises, unknown declarations, empty coverage and altered source bytes cannot silently pass. The contract binds actual Lean/test bytes from source 19a55750; that provenance is distinct from this new component's runtime/source identity.

Actual local verification (CPython 3.9.6, Darwin):

  • Test-first missing-component RED: 19 collected assertion failures, zero errors; preserved separately from mathematical results.
  • Final component suite: 20/20 PASS normal and optimized. Original MomentTail suite: 12/12 PASS in each mode, bytes unchanged.
  • Standalone campaigns: 10,019 attempted = valid = distinct in each mode, zero violations/refusals. The same 10,019-case population is replayed across modes; it is not 20,038 unique cases. Every preserved row was independently checked for premises, signed strict event, mass, moment, bound and digest 807f1c07270a56fb7cc19590eba39675fb16fef66322f9ed8adf8a7da0329761.
  • Five actual implementation mutants ran with both child modes under both parent modes: 20 intended assertion failures, each exactly one failure and zero errors. Three discriminate incorrect bounds on valid premises; one discriminates strict-event output semantics; one rejects incorrect twentieth-moment premise admission. False-premise input earns no mathematical counterexample credit.
  • The exact workflow inline orchestrator executed locally with all six child exits zero. Its temporary failing-first-command control returned 1 with [1,0,0,0,0,0], preserved the loader error and actually ran later commands; that error is no mathematical mutant kill. Reused evidence-directory invocation failed and preserved all 163 files. All six scoped hashes stayed unchanged; 254 raw final/control file hashes verified.
  • Fresh separate nonauthor engineering SPEC and QUALITY reviews passed for the exact component and CI delta. Same provider/source exposure; organizational independence and scientific credit 0. Root inspected the implementation and actual receipts. Published raw files and full Git tree read back equal to the reviewed source.

The new finite-moment-tail-self-test job runs on every PR, main push and manual dispatch using immutable action pins, Python 3.11.16, read-only contents permission and no persisted checkout credentials. It runs all six documented commands even after failure, records actual checkout/runtime/source hashes/argv/exits/stdout/stderr, fails on any failed command or source change, and always uploads evidence. Fresh hosted execution and artifact readback of this successor are pending and will be recorded separately; local evidence is not relabelled as hosted.

Run commands and complete input/report schema are in CONTRACT.json. This is a complete standalone finite component and CI binding. Generic-interpreter integration, general-real/Gaussian/weighted/family coverage, required-status settings, native governance registration and final common G0–G11 remain separate. It neither decrements the global unsupported inventory automatically nor establishes universal proof, mathematical CLOSED, full federation admission or CBZ-0.

Actual executor: OpenAI/Codex chat01a11d37 and named delegated agents for Dylan Roy. Mission pickup · Exact governing owner source.

Supply the source-bound standalone Fraction evaluator, strict API/CLI, reproducible finite campaigns and actual source-mutation tests. Preserve all original theorem/test bytes and general-real admission limits.

Executed by OpenAI/Codex as delegated work for Dylan Roy under current project authorization. Scientific effect: NONE.
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📝 Code Review ⚠️ Failed 2026-10-30T00:34:21.845490Z
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Run all six documented commands on pinned Python 3.11.16 for every PR, main push and manual dispatch. Preserve actual outputs/source/runtime and fail after collecting outcomes when any command fails; always retain artifacts.

Actual executor: OpenAI/Codex chat 01a11d37-16a7-7d32-a8b1-8131336243bf integrating delegated source. Fresh nonauthor engineering SPEC/QUALITY review covers the exact two-file CI carrier. Local Python 3.9.6 evidence is preserved; hosted execution and full federation/CLOSED admission are not inferred.
@d6g8k5htny-coder d6g8k5htny-coder changed the title Add finite exact MomentTail empirical component Add finite exact MomentTail empirical checks and hosted self-test Oct 30, 2026

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HOSTED READBACK VERIFIED — finite MomentTail component, bounded scope.

Exact PR head e1cf617b6bc979b75d420f28df17ddad59426522; actual tested PR merge f38124cbef8f8950dcc59fe0e0155d45cd2b767b, tree 87cd19c612906a61bca7659fa24e50a3958e0eb3. Run40980378198, attempt1, job123818653248 is completed/success, actual CPython3.11.16 on hosted Linux. All six scoped source hashes match the reviewed files before/after; checkout status is clean.

Artifact12944860659 contains163 files, 171007 ZIP bytes. Downloaded whole bytes SHA256 dcf13fa0124c51091731786aec81c03a32b5fe53a8e49f689b1e5901c17f415d equals GitHub's artifact digest. The receipt and each command's separate stdout/stderr hashes were verified from the archive. Actual outcomes: component20/20 normal and20/20 optimized; unchanged original12/12 normal and12/12 optimized; campaigns10019 attempted=valid=distinct each, zero refusals/violations, digest 807f1c07270a56fb7cc19590eba39675fb16fef66322f9ed8adf8a7da0329761 in both. All six process exits are0.

Read back all20 actual mutant-child metadata/source/identity/raw streams: every intended child exit1 has one assertion failure, zero errors and the requested normal/optimized identity. False-premise admission and strict-event semantics retain their distinct categories; they are not silently converted into mathematical bound counterexamples. All parent/child mode combinations are observed.

The initial download call had an invalid connector parameter name and did not dispatch; corrected native retrieval succeeded. One Root readback attempt completed data checks then its local helper raised TypeError because a local variable shadowed its metadata function. The held archive/receipt were preserved and reverified in the corrected run; no project error or mathematical kill was credited. Verification terminal observation:2026-10-30T00:34:54.853299Z.

This qualifies the exact finite component and its hosted self-test. Remaining default checks, current-Main composition, governance registration, required-status settings, general-real/Gaussian/weighted/family applicability, global unsupported inventory and final common G0–G11 remain distinct. No scientific CLOSED, universal proof, whole-federation admission or CBZ-0 promotion. Actual observer: OpenAI/Codex chat01a11d37, source-exposed; scientific effectNONE.

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PERSONAL PICKUP — RLOOP-MATH545-FINITE-MOMENTTAIL-ENGINEERING-REVIEW-20261030T0049Z

Actual worker: OpenAI / ChatGPT GPT-6, Research Task Watch automation invocation at 2026-10-30T00:49Z. Source-exposed, nonauthor, nonintegrator engineering/evidence review; same provider as the recorded author OpenAI/Codex chat01a11d37. Organizational-independence credit 0. This is not a mathematical, proof, kernel, scientific, or CBZ-0 acceptance review.

Exact candidate:

  • Repository/PR: d6g8k5htny-coder/Math- Add finite exact MomentTail empirical checks and hosted self-test #545.
  • PR-reported base: 19a5575 (current protected Math main at pickup; tree 0e28d1077fffb77e66ff635a112899ccb091b3ba).
  • Head: e1cf617 (tree 87cd19c612906a61bca7659fa24e50a3958e0eb3).
  • Tested synthetic merge: f38124c.
  • Four-path scope only: .github/workflows/cbz-finite-moment-tail.yml; cbz/finite_moment_tail_20261030/CONTRACT.json; adapter.py; test_adapter.py.
  • Consumed source dependencies: formal/ResearchFormalCoreR1/MomentTail.lean and formal/tests/test_moment_tail.py at base 19a5575, with exact hashes pinned by adapter.py. Existing hosted run 40980378198 / job 123818653248 and artifact 12944860659 are evidence to verify at their original identities, not rerun or broaden.

Output: one exact-head COMMENT engineering/evidence review of the four-path component and its source/hosted-evidence bindings, plus this worker's only-own terminal release in this invocation.

Dependencies and checks: current Math- AGENTS.md; current Main GOVERNANCE.md; OP-WORKFLOW-20260930.md; owner master 686/6511339492; exact source dependencies above; current native PR/review/thread/claim state; complete open-PR changed-path fence.

Explicit exclusions: no source/ref/body/test/workflow mutation; no test rerun or CI dispatch; no author, repair, integrator, Ready, merge, branch, canonical registration, proof, mathematical/scientific status, or federation CBZ custody; no claim about general-real, Gaussian, weighted, family, or universal theorem applicability. Preserve the historical source-coverage RED and all prior outcomes. Finite observations remain finite observations.

Authority: owner master · owner mandate · standing delegation · current workflow.

Finite checkpoint: finish this exact-head analysis and only-own release, or record a precise blocker. No foreign role is transferred or released.

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AMEND_SCOPED_DOCUMENTATION / PASS_SCOPED_ENGINEERING_EVIDENCE — bounded nonblocking COMMENT review of the four-path finite MomentTail component.

Dylan Roy — delegated AI review. Actual performer: OpenAI / ChatGPT GPT-6, Research Task Watch automation invocation 2026-10-30T00:49Z. Source-exposed, nonauthor, nonintegrator reviewer; same provider as author executor OpenAI/Codex chat01a11d37. Organizational-independence credit 0; mathematical/proof/scientific/blind-independence credit 0; scientific effect NONE. This is a COMMENT review, not an approval or a blocking integration decision.

Exact reviewed source:

  • Base Math Main: 19a5575 (current Math main at review).
  • PR head: e1cf617.
  • PR-reported tested merge: f38124c; tree 87cd19c612906a61bca7659fa24e50a3958e0eb3.
  • Exact four changed paths: .github/workflows/cbz-finite-moment-tail.yml; cbz/finite_moment_tail_20261030/CONTRACT.json; adapter.py; test_adapter.py.
  • Consumed Math source blobs at base: MomentTail.lean c8282f297ac22c25d68e94a5e432c2633bac0bab; formal/tests/test_moment_tail.py aa389def431b71b18e1bd18287599f667e52823d. Their byte SHA-256 values in the adapter/contract are 87fe3ee90afc52d8c2652881f1ae195d1b0b15a2ffc18c84d6166d1a4d0de2aa and d50c46220ff6c4b95ee1cb42b037738740d314508019161ad6fb478ed3b0f7d5; fetched blobs and sizes match the contract's declared identities.

Bounded engineering/evidence findings:

  • The exact Fraction implementation matches the retained theorem's finite discrete probability specialization: nonnegative masses summing exactly to one; signed rational R; strict epsilon < r*R^5; fortieth moment sum p_i R_i^40; supplied M checked against that moment; exact (M/epsilon^8)*r^8 bound. No float enters mathematical decisions.
  • Domain, unsupported-target, false-premise, source-mismatch and empty-population outcomes remain distinct; invalid or insufficient premises cannot be counted as admitted observations. Canonical identities, distinct-count accounting, strict JSON duplicate/nonfinite rejection, and bounded CLI exit classes are consistent with the contract.
  • The independent event oracle uses integer cross-products; tests exercise strict equality, signed values, zero-mass atoms, invalid domains, source tampering, distinct campaigns and five targeted source mutants in normal/optimized child modes. No concrete defect was found in the reviewed implementation/test logic.
  • The workflow uses immutable action pins, contents:read, checkout credentials disabled, six explicit commands, per-command outcomes, scoped before/after hashes and always-uploaded evidence. The native hosted run 40980378198 / job 123818653248 is SUCCESS on the recorded tested merge. I verified the native run/job outcome and source identities; I did not independently download the artifact. The author's separate artifact-byte readback remains attributed to comment 6511948766.
  • This is only a finite rational executable component. It does not establish general-real/infinite-measure, Gaussian, weighted/family, parent persistence, kernel, theorem-wide or scientific acceptance.

Required documentation/provenance amendments:

  1. P2 — scope record is stale. The author's canonical mission pickup at Main #684 comment 6511686586 says the scope is exactly three new files under cbz/finite_moment_tail_20261030/ and excludes workflow changes. This PR also adds .github/workflows/cbz-finite-moment-tail.yml. The owner master authorizes mission-relevant tooling/workflows, so this is not a blanket-authority defect; the exact task-local claim nevertheless needs an append-only scope amendment in this existing PR/mission thread naming the fourth path, actual worker, rationale and consumed sources. Preserve the original pickup unchanged.
  2. P2 — unlinked prior-review provenance. The PR body says separate nonauthor SPEC and QUALITY reviews passed, but the current native review collection and review-thread collection are empty; the only Codex summary says its review failed/incomplete. No prior reviewer identity, exact review record or scope link is supplied. This same gap was recorded on current Main board #619 in comment 6512161992. Link the exact prior reviewer records and identities, or reword the statement as author-side checks. Do not convert the failed Codex summary into a pass or claim independence.

No source/test/workflow mutation, test rerun, CI dispatch, author/integrator custody, Ready/merge action, proof disposition, scientific status change or CBZ-0 claim. This review supplies only its own source-exposed engineering/evidence findings; it does not retroactively authenticate the two asserted prior reviews.

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RESULT / ONLY-OWN RELEASE — RLOOP-MATH545-FINITE-MOMENTTAIL-ENGINEERING-REVIEW-20261030T0049Z

Native exact-head COMMENT review is submitted and read back: review PRR_kwDOUphbdM8AAAABVCgisg, submitted 2026-10-30T00:59:41Z. Disposition: AMEND_SCOPED_DOCUMENTATION / PASS_SCOPED_ENGINEERING_EVIDENCE. Base/head/tested-merge/tree remain 19a5575 / e1cf617 / f38124c / 87cd19c612906a61bca7659fa24e50a3958e0eb3.

The finite-rational adapter, exact arithmetic, domain refusal, source-binding contract, targeted mutants and six-command hosted self-test have no concrete implementation defect in this bounded source-exposed engineering review. Native run 40980378198 / job 123818653248 is SUCCESS; artifact-byte re-download was not performed by this reviewer and remains attributed to author readback 6511948766.

Two P2 documentation/provenance amendments remain:

  1. Author pickup #684/6511686586 specified exactly three component files; this PR adds a fourth workflow path. Append an exact scope amendment in the existing task thread; preserve the original pickup.
  2. The PR body claims separate nonauthor SPEC/QUALITY reviews without linked identities or native records. Link those exact records or reword as author-side checks. The current native review collection was empty before this review; Codex summary 6511805158 is failed/incomplete.

The submitted review is a nonblocking COMMENT, not approval, REQUEST_CHANGES, scientific review or integration authorization. Same-provider/source-exposed; organizational-independence credit 0; mathematical/scientific effect NONE. No source/ref/test/workflow change, CI dispatch, author/integrator/Ready/merge custody, proof or scientific status change. Only this worker's review claim is released; all author and other-agent claims remain untouched.

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