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Import pointwise provable equality and failure of composition - #690
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Separate thorough agentic review — APPROVE at {
"review_kind": "Separate thorough agentic source/diff review by the import agent; independent of configured Greptile and GPT rubric reviews, not a second human approval.",
"reviewed_commit": "0ccf535fff90bd4cce7b1b6b5535eb583caea725",
"conclusion": "approve",
"scope": "All 238 changed files covered locally: the YAML card and 237 Lean modules. All 232 imported upstream modules were inspected in bounded batches through imports, first/final declarations and representative implementation slices; concrete headline endpoints, evaluator/arithmetization construction, realization witnesses and generated-quotient definitions received deeper/full reads. Final port inventory covers all 237 modules again; all three extracted support modules were read. Parser-AST roundtrip receipts cover formatting changes. This review does not rely on GitHub's elided rendered diff.",
"faithfulness": {
"verdict": "pass",
"bottom_line": "The concrete endpoints prove the card claims over actual unary program indices and partial recursive functions.",
"proves_the_claim": "proves_it",
"claim_note": "The noncongruence theorem needs a consistent PA extension with r.e. axiom codes; the four-way characterization needs consistency but no enumerability; generated-congruence classification covers every PA extension, and the monoid equivalence assumes Sigma-one soundness.",
"assumed_inputs": "The card discloses these theory assumptions. ConcreteEvaluator.arithmetization is a constructed closed constant with proved adequacy, functionality, composition and Sigma-one realization, not a caller-supplied hard-result hypothesis. Scratch Lean checks prove the evaluator and UnaryPartrec definitional identities; PA has its standard-model soundness/consistency instances.",
"findings": []
},
"novelty": {
"verdict": "pass",
"bottom_line": "No duplicate headline was found in the checked pool, Mathlib or Tau Ceti sources.",
"already_formalized": "",
"novelty_note": "Mathlib ComputablePred.rice/rice₂ concern decidable extensional predicates; pooled LeanPool.Incompleteness.goedelFirst/goedelSecond concern incompleteness, and pooled oracle-computability results concern reducibility/degrees. None gives the pointwise-provability composition obstruction or its congruence classifications. Pinned/latest Tau Ceti tree and code searches found no matching result; the four returned broad-token hits were inspected and concern subgroup maps, sl2, Fourier positivity and Hecke composition. A semantic comparison outside that bounded search remains unverifiable, not proof of global novelty.",
"findings": []
},
"significance": {
"verdict": "pass",
"bottom_line": "A completed research-level theory of provability classes and composition, with a substantial reusable arithmetic/logic infrastructure.",
"fit": "good_fit",
"level": "research",
"branch": "mathematical logic and computability",
"mode": "theory_building",
"significance_one_sentence": "It diagnoses the failure of proposed recursion-category composition, gives two independent obstruction routes, and determines exactly when composition and the generated congruence behave extensionally.",
"findings": []
},
"sources": {
"verdict": "pass",
"bottom_line": "The arXiv statement, pinned manuscript and actual concrete Lean endpoints agree on the hypotheses and classifications, and the human Foundation contribution is credited.",
"source_match": "matches",
"findings": []
},
"quality": {
"verdict": "pass",
"bottom_line": "Competent self-contained development after the measured port/cleanup; its 237-module maintenance cost is material but the imported closure supports the concrete results, and remaining profiled costs have no evident safe local improvement in this pass.",
"code_quality": 3,
"findings": []
},
"engineering_evidence": {
"pins": "Lean 4.35.0-rc3; Mathlib c55e6e786f49471c72fbddbec5415808896aec1e",
"scope": "232 upstream dependency-closure modules, three factored helpers, entry and aggregate; unrelated source/manuscript/placeholder interfaces excluded.",
"license_provenance": "Actual pinned Apache-2.0 license texts; retained Foundation copyright and contributor credit; mix provenance accurately distinguishes AI-produced main proofs and substantial human dependency work.",
"trust": "All 237 modules passed compiled option/backdoor and axiom audits; 7,454 source declarations, no disallowed axiom closure. Concrete realization is proved, not postulated.",
"local_checks": "Warning-free build; 20,658 compiled declarations passed Mathlib linters; style, generated indexes, whole-repository static quality and diff checks passed. Python/workflow files unchanged.",
"performance": "Comparable project-clean runs 902.797s -> 799.796s (11.4% lower); dependencies/OS cache warm, LEAN_NUM_THREADS=1, CPUs0-7, shared VM, single paired runs. Final 12 hotspot module profiles pass without overrides. Failed old synchronous HFS.Seq profile excluded from speedup claims.",
"repairs": "Total metaprogram recursion, narrower/factored imports, explicit proof/classical scopes, used-lemma simplification, current syntax/notation/name/style repairs, actual namespace resolution for the unchanged audit, and removal of unused port-only proof elaboration. No gate, waiver, dependency pin or theorem-strength change."
},
"gate_status": "This is content approval at the exact head, not permission to bypass protection. Remote Build pool and configured Greptile/GPT results are still pending. Native queue entry must wait for all applicable protected checks, reviews and the separately verified rollout requirements.",
"timestamp_utc": "2026-10-19T16:53:02.522609+00:00"
} |
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Advisory cross-file review against Lean Pool's supervisory rubric. This is not by itself a significance, source-verification, or merge verdict. [Medium impact] No blocking defect was found in the latest revision, but the complete contribution has not been cleared for merge. SummaryImports the pointwise-provability composition results and their supporting arithmetic development. The latest revision shares graph-agreement proofs between two modules.
Reviews (5) · Last reviewed commit: "Specialize congruence lemmas from shared..." · Reviewed by Greptile |
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Follow-up thorough agentic review — APPROVE at {
"review_kind": "Separate thorough agentic source/diff review by the import agent; independent of configured Greptile and GPT rubric reviews, not a second human approval.",
"reviewed_commit": "afc65812781d9ebe367b691e5d0eca1f100059c4",
"conclusion": "approve",
"scope": "All 238 changed files covered locally: the YAML card and 237 Lean modules. All 232 imported upstream modules were inspected in bounded batches through imports, first/final declarations and representative implementation slices; concrete headline endpoints, evaluator/arithmetization construction, realization witnesses and generated-quotient definitions received deeper/full reads. Final port inventory covers all 237 modules again; all three extracted support modules were read. Parser-AST roundtrip receipts cover formatting changes. This review does not rely on GitHub's elided rendered diff. Follow-up: all six changed modules were inspected against the earlier head. They promote existing helper statements and remove duplicated proofs; imports, headline endpoint source and card are unchanged. The final clean build hashes match the validated committed source.",
"faithfulness": {
"verdict": "pass",
"bottom_line": "The concrete endpoints prove the card claims over actual unary program indices and partial recursive functions.",
"proves_the_claim": "proves_it",
"claim_note": "The noncongruence theorem needs a consistent PA extension with r.e. axiom codes; the four-way characterization needs consistency but no enumerability; generated-congruence classification covers every PA extension, and the monoid equivalence assumes Sigma-one soundness.",
"assumed_inputs": "The card discloses these theory assumptions. ConcreteEvaluator.arithmetization is a constructed closed constant with proved adequacy, functionality, composition and Sigma-one realization, not a caller-supplied hard-result hypothesis. Scratch Lean checks prove the evaluator and UnaryPartrec definitional identities; PA has its standard-model soundness/consistency instances.",
"findings": []
},
"novelty": {
"verdict": "pass",
"bottom_line": "No duplicate headline was found in the checked pool, Mathlib or Tau Ceti sources.",
"already_formalized": "",
"novelty_note": "Mathlib ComputablePred.rice/rice₂ concern decidable extensional predicates; pooled LeanPool.Incompleteness.goedelFirst/goedelSecond concern incompleteness, and pooled oracle-computability results concern reducibility/degrees. None gives the pointwise-provability composition obstruction or its congruence classifications. Pinned/latest Tau Ceti tree and code searches found no matching result; the four returned broad-token hits were inspected and concern subgroup maps, sl2, Fourier positivity and Hecke composition. A semantic comparison outside that bounded search remains unverifiable, not proof of global novelty.",
"findings": []
},
"significance": {
"verdict": "pass",
"bottom_line": "A completed research-level theory of provability classes and composition, with a substantial reusable arithmetic/logic infrastructure.",
"fit": "good_fit",
"level": "research",
"branch": "mathematical logic and computability",
"mode": "theory_building",
"significance_one_sentence": "It diagnoses the failure of proposed recursion-category composition, gives two independent obstruction routes, and determines exactly when composition and the generated congruence behave extensionally.",
"findings": []
},
"sources": {
"verdict": "pass",
"bottom_line": "The arXiv statement, pinned manuscript and actual concrete Lean endpoints agree on the hypotheses and classifications, and the human Foundation contribution is credited.",
"source_match": "matches",
"findings": []
},
"quality": {
"verdict": "pass",
"bottom_line": "Competent self-contained development after the measured port and decoder deduplication; all shared helpers have consumers, and no further material safe local improvement was evident in the final profiles.",
"code_quality": 3,
"findings": []
},
"engineering_evidence": {
"pins": "Lean 4.35.0-rc3; Mathlib c55e6e786f49471c72fbddbec5415808896aec1e",
"scope": "232 upstream dependency-closure modules, three factored helpers, entry and aggregate; unrelated source/manuscript/placeholder interfaces excluded.",
"license_provenance": "Actual pinned Apache-2.0 license texts; retained Foundation copyright and contributor credit; mix provenance accurately distinguishes AI-produced main proofs and substantial human dependency work.",
"trust": "All 237 modules passed compiled option/backdoor and axiom audits; 7,466 source declarations. No disallowed axiom closure, and concrete realization is proved.",
"local_checks": "Final project-clean build passed with zero warnings; 20,744 compiled declarations passed Mathlib linters; style, generated indexes, whole-repository static quality and diff checks passed. Python/workflow files unchanged.",
"performance": "Comparable project-clean runs 902.797s → 820.992s (9.1% lower); dependencies/OS cache warm, LEAN_NUM_THREADS=1, CPUs0-7, shared VM, single runs. Intermediate head 0ccf535 measured 799.796s; the final helper-sharing cleanup is 21.2s slower in its single run, so no isolated wall-time improvement is claimed for that cleanup. Earlier 12 hotspot profiles passed; all six changed modules were profiled again at the final source and pass without overrides. Failed old synchronous HFS.Seq profile excluded from comparisons.",
"repairs": "Total metaprogram recursion, narrower/factored imports, explicit proof/classical scopes, used-lemma simplification, current syntax/notation/name/style repairs, actual namespace resolution for the unchanged audit, and removal of unused port-only proof elaboration. No gate, waiver, dependency pin or theorem-strength change. Addressed Greptile by sharing generic decoder/pair-dispatch results and tag4/tag6 constructor helpers across their existing dependencies, removing 488 net lines; the old discussion is resolved."
},
"gate_status": "Content conclusion: approve at the exact final head. Greptile completed successfully on this head with no blocking repair finding; the decoder discussion is resolved. Remote Build pool and configured GPT review remain pending. This review is not permission to bypass protection, source review or the native queue.",
"timestamp_utc": "2026-10-19T17:19:19.327159+00:00",
"previous_reviewed_commit": "0ccf535fff90bd4cce7b1b6b5535eb583caea725"
} |
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Independent source review at afc65812781d9ebe367b691e5d0eca1f100059c4: approve, with no material findings in the reviewed scope. This verdict preserves every current-head CI, configured-review and protected native queue requirement.
{
"review_kind": "Independent permanent-reviewer Source assessment; separate from the importer's review, configured GPT review and hosted CI.",
"reviewed_commit": "afc65812781d9ebe367b691e5d0eca1f100059c4",
"conclusion": "approve",
"scope": "All 238 changed files (237 Lean modules and one project card) were authenticated by path, mode and Git blob identity and covered by a complete static trust/import/registry audit. Independent detailed review read 27 critical modules in full (4,179 lines), all nine selected endpoint contracts and all six complete decoder-sharing diffs. I directly checked the card, entry, concrete headline modules and inspected delta. This is not a line-by-line proof audit of all 85,276 Lean lines, a fresh compilation or a claim of exhaustive semantic novelty.",
"faithfulness": {
"verdict": "pass",
"bottom_line": "The claims concern actual partial recursive program evaluation and pointwise provability, with the distinct theory hypotheses retained.",
"proves_the_claim": "proves_it",
"claim_note": "The composition obstruction assumes a consistent PA extension with recursively enumerable axiom codes. The four-way Pi-one characterization assumes consistency without enumerability. The generated-congruence classification covers every PA extension; its extensional monoid equivalence assumes Sigma-one soundness.",
"assumed_inputs": "Kleene.eval uses Mathlib Nat.Partrec.Code.eval on decoded natural indices; UnaryPartrec contains actual Nat.Partrec partial functions. PointwiseIndex quantifies externally over standard natural inputs. ConcreteEvaluator.arithmetization is constructed with proved adequacy, functionality, composition and Sigma-one realization. The reviewed productive-escape, Craig-padding and false-Sigma-one collapse proofs supply the hard steps; the headline is not merely a caller-supplied structure-field assumption. Closed PA standard-model specializations witness nonvacuous instances.",
"findings": []
},
"novelty": {
"verdict": "pass",
"bottom_line": "No duplicate of the headline contracts was found in the bounded actual Mathlib, Tau Ceti and existing-pool comparisons.",
"already_formalized": "",
"novelty_note": "Pinned Mathlib Rice theorems address decidable extensional predicates, and existing pooled incompleteness endpoints address first/second incompleteness. The inspected Tau Ceti closure/simulation contracts also differ. Actual Code.eval and partial-recursion prerequisites are reused. These comparisons support acceptance within the reviewed scope; they are not an exhaustive semantic absence proof.",
"findings": []
},
"significance": {
"verdict": "pass",
"bottom_line": "A substantial completed research-level development about provability classes and composition.",
"fit": "good_fit",
"level": "research",
"branch": "mathematical logic and computability",
"mode": "theory_building",
"significance_one_sentence": "It proves independent composition obstructions, characterizes compatibility through Pi-one completeness, and classifies the generated congruence and associated quotient monoid.",
"findings": []
},
"sources": {
"verdict": "pass",
"bottom_line": "The concrete contracts match the manuscript's hypothesis distinctions, and the pinned sources have appropriate licensing and attribution.",
"source_match": "matches",
"source_note": "Compared with arXiv 2609.25556v2, sections 2.2–6 (Theorems 1, 3, 4 and Propositions 5, 6), and actual frozen Lean producer contracts. The pinned FailureOfComposition and Foundation LICENSE texts are Apache-2.0. Mix provenance credits Florian Lengyel's directed AI proof work and the substantial human Foundation contribution by Shogo Saitou, Mashu Noguchi and the Formalized Formal Logic contributors.",
"findings": []
},
"quality": {
"verdict": "pass",
"bottom_line": "The dependency closure is coherent and the reviewed sharing repair preserves helper premises while removing repeated proofs.",
"code_quality": 3,
"quality_note": "The full static scan found no prohibited trust escape or waiver; module/import closure, generated card and endpoint reachability agree. The proof-search metaprogram was read as bounded construction/application of proved sequent lemmas rather than unchecked proof insertion. The six-file child promotes twelve existing helpers and reuses them, with imports, headline endpoints and card fixed. This static/source judgment does not certify the pending compiled axiom/environment audit or CI linters.",
"findings": []
},
"performance": "The author now reports 902.797s -> 820.992s (9.1% lower) for paired project-clean shared-VM runs at this final head. The intermediate 799.796s run is faster than the final measurement, so no isolated wall-time improvement is attributed to decoder sharing. These are author-attributed measurements, not independently rerun benchmark evidence or a new merge gate.",
"gate_status": "Source accepted at this exact head, with no material findings in the reviewed scope. The current Greptile decoder repair is nonblocking and its discussion is resolved. Current-head authored CI, matching configured review and normal protected native queue validation remain required. Prior-head checks and the importer's review are not transferred as those results.",
"findings": [],
"primary_sources": [
"https://arxiv.org/html/2609.25556v2",
"https://github.com/flengyel/FailureOfComposition/tree/506d1f1494d6c05b0ba304edf5fe0bfa6c32864b",
"https://github.com/flengyel/foundation/tree/01f617fbe240a84aaf1c45b31b9d65e0a2e21c1d"
]
}The manuscript comparison uses the primary paper and the actual pinned formalization and Foundation dependency.
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/review Please review exact head The final project-clean build passed warning-free in 820.992s versus the controlled 902.797s baseline. Local declaration linters (20,744 compiled declarations), trust/option audit (7,466 source declarations), style, generated indexes and repository-wide static quality passed. Greptile's decoder cleanup is addressed and its discussion resolved. The separate exact-head review and full measurements are linked above. The PR has 238 changed files (237 Lean modules and one card). Please inspect the actual source in bounded portions, including the concrete endpoint statements and the constructed arithmetization/realization closure; GitHub's rendered diff may be elided. No policy or protection exception is requested. |
Proof profile (new / modified Lean files)
This build covers the changed modules and their dependency cones on top of the restored cache. The serial per-file sums below are useful for ranking slow files, not as a build budget. Total heartbeats: 25,705,413 maxHeartbeats units across 237 valid files (84,328 added LOC). Sum of Count-heartbeats wall-clock total: 2182.16 s. Repeated import cost inside Heartbeat values sum disjoint root command traces with LOC counts added lines in the profiled Lean files from this PR diff.
Aggregate phase totals
Slowest changed modules (from
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| Changed module | Lake time |
|---|---|
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.Bootstrapping.Syntax.Formula.Basic |
30.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.LJ.Basic |
19.00 s |
LeanPool.PointwiseComposition.CategoricalRiceShapiro.Evaluator.HistoryEvaluation |
18.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.Bootstrapping.Syntax.Term.Basic |
14.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Syntax.Classical.BinderNotation |
12.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Incompleteness.Definability |
12.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.Bootstrapping.Syntax.Term.Functions |
11.00 s |
LeanPool.PointwiseComposition.Foundation.Propositional.Entailment.Minimal |
10.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.LK.Hauptsatz |
10.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.Bootstrapping.Syntax.Term.Typed |
10.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.Bootstrapping.Syntax.Formula.Functions |
10.00 s |
LeanPool.PointwiseComposition.Foundation.FirstOrder.Arithmetic.HFS.Vec |
9.70 s |
Comment truncated to fit GitHub's 64 KB limit. This PR profiles 237 files; the per-file table shows only the 237 hottest by heartbeats. The full table and raw
lean --profileoutput for every file are in the run's step summary andproof-profileartifact.
Advisory only — never blocks merge.
🤖 LLM review (
|
| Rubric | Verdict | Bottom line |
|---|---|---|
| Faithfulness | ✅ pass |
All five card headlines match the concrete Lean endpoints; compilation remains independently unverified because dependency fetching returned HTTP 403, while CI remains pending. |
| Novelty | ✅ pass |
No duplicate headline was found in the checked declarations; broader Tau Ceti comparison remains unverifiable, and head CI is pending, with local compilation blocked by a Mathlib-fetch HTTP 403. |
| Significance | ✅ pass |
The concrete composition obstruction and completeness/soundness classifications form a coherent research-level project worth pooling; CI was pending when checked, and local compilation was blocked by a Mathlib-fetch HTTP 403. |
| Sources | ✅ pass |
The cited paper supports the formalized results with matching hypotheses, and both upstream formalizations are credited; exact-head build CI remains pending. |
| Code quality (advisory) | ✅ pass |
The shared proof APIs are competent; exact-head CI remains pending, and targeted local compilation was blocked by a Mathlib-fetch HTTP 403. |
| Aspect | Value |
|---|---|
| Proves the claim | ✅ proves_it |
| Assumed, not proved | These theory assumptions are disclosed in the card. ConcreteEvaluator.arithmetization supplies proved adequacy, functionality, composition and graph realization; the concrete headlines require no caller-supplied arithmetization or realization hypothesis. |
| Matches cited source | ✅ matches |
| Fit | ✅ good_fit |
| Level | research |
| Branch | mathematical logic and computability |
| Mode | theory_building |
| Code quality | 3 / 5 |
Statement check: The obstruction assumes consistency and enumerable axiom codes, the four-way characterization assumes consistency, the generated-congruence classification covers every PA extension, and the monoid equivalence assumes Sigma-one soundness.
For PA extensions, the development characterizes composition compatibility by Π₁-completeness, classifies the generated congruence by Σ₁-soundness, and identifies the sound quotient with the monoid of unary partial recursive functions.
Faithfulness findings (1)
- prompt-injection — PR-wide
Two contributor-authored discussion comments supply prior approval claims and complete rubric verdicts, including faithfulness pass. These can anchor independent review; they must carry no approval authority or mathematical evidentiary weight. This does not change the source-based faithfulness verdict.
Evidence: prose only: .review-pr.json contains “Separate thorough agentic review — APPROVE” and “Follow-up thorough agentic review — APPROVE”, with embedded review JSON declaring "conclusion": "approve".
Novelty findings (1)
- prompt-injection — PR-wide
Contributor-controlled discussion supplies prior approval claims and prewritten passing novelty assessments, risking substitution for independent duplicate checks; these were disregarded.
Evidence: Comments preserved in .review-pr.json state ‘Separate thorough agentic review — APPROVE’ and ‘Follow-up thorough agentic review — APPROVE’, each embedding a novelty assessment with verdict ‘pass’.
Significance findings (1)
- prompt-injection — PR-wide
Contributor-controlled discussion supplies prior approval claims and prewritten significance verdicts, risking substitution for independent review; these were disregarded. Exclude embedded verdicts from independent-review inputs.
Evidence: Comments in .review-pr.json state ‘Separate thorough agentic review — APPROVE’ and ‘Follow-up thorough agentic review — APPROVE’, each embedding a significance assessment containing "verdict": "pass" and "fit": "good_fit".
Sources findings (1)
- prompt-injection — PR-wide
Contributor-authored discussion supplies prior approval claims and prewritten passing sources assessments, risking substitution for independent citation review. These were disregarded and the sources checked directly; exclude embedded verdicts from independent reviewer inputs.
Evidence: The discussion states ‘Separate thorough agentic review — APPROVE’ and ‘Follow-up thorough agentic review — APPROVE’; both embed sources assessments containing "verdict": "pass" and "source_match": "matches".
Code quality findings (1)
- prompt-injection — PR-wide
Contributor-controlled discussion supplies prior approval assertions and prefilled passing quality assessments, creating an anchoring risk for independent review; these assertions were disregarded.
Evidence: .review-pr.json contains ‘Separate thorough agentic review — APPROVE’ and ‘Follow-up thorough agentic review — APPROVE’, alongside embedded quality assessments containing "verdict": "pass" and "code_quality": 3.
Tokens: 9,745,646 in / 53,293 out across 5 model calls · Tier: codex-subscription · Effort: xhigh · Billing: Codex subscription quota (no API credits) · Estimated cost: $39.7820 (Standard API equivalent; uncached input)
Each rubric is an independent review against .github/review-rubrics/ on top of .github/REVIEW_RULES.md. Disagree? Reply on the PR; rules can be updated in a PR of their own.
CI was not green for this commit at review time; this review does not replace CI.
|
The This supersedes the quality conclusion of my earlier contributor-authored assessment until the repair is validated. The prior exact-head reviews remain preserved as historical checkpoints; they have no authority over the configured independent review. The full advisory profile also identified repeated dependent inversion in |
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{
"verdict": "discuss",
"bottom_line": "At afc6581, I confirmed the remaining duplicated helper libraries missed in my earlier quality assessment; the author is already repairing them, and this advisory finding adds no independent merge gate.",
"code_quality": 3,
"findings": [
{
"file": "LeanPool/PointwiseComposition/FailureOfComposition/ConcreteRecursionGraph.lean",
"line": 44,
"rule": "duplicate-proof",
"comment": "Ten local tagSix theorem commands repeat the imported PrimitiveRecursionPersistence helpers. Nine have concrete-graph callers; the local predecessor_argument copy has none. Reuse the nine shared helpers and remove these ten local copies, retaining the shared predecessor helper that still has a caller. Preserve all hypotheses and public graph statements. The author's comment6273934521 already takes ownership of this repair; I have left that implementation with its owner.",
"evidence": "Both modules declare private theorem tagSix_prec_branch with the same statement and proof. Both also prove tagSix_succ_pred via sub_add_self_of_le (one_le_of_zero_lt k hk). All ten copied commands were compared, including their model and arithmetic-theory assumptions."
},
{
"file": "LeanPool/PointwiseComposition/CategoricalRiceShapiro/Evaluator/CellCongruence.lean",
"line": 46,
"rule": "duplicate-proof",
"comment": "The local EvalEq relation and arithmetic congruence chain repeat the directly imported EvaluationCongruence implementation. Reuse that interface while preserving independent arities and assignments, the ORingStructure-only assumptions, and all four public Cell endpoints. The next published child, including the author's announced CutFree change, needs its own source review and applicable validation; private measurements are not a published source checkpoint.",
"evidence": "CellCongruence:90 and EvaluationCongruence:407 contain the same evalEq_codeSucc statement and proof. The shared EvalEq definitions have identical heterogeneous graph-equality contracts. Other copies include projection, zero, lift, arithmetic/boolean, minimization and derived constructor congruences."
}
]
}
|
Published repair head: The configured review's two duplicate-proof groups now use shared APIs: tag-6 dispatcher helpers live in The full advisory profile also led to shared cut-free inversion. All 57 pre-existing public declaration headers in the final seven changed files, the cut-free inductive, project entry and YAML card remain unchanged. No gate, waiver or dependency pin changed. At this exact head, local project build, declaration linters (20,659 compiled declarations), trust/option audit (7,505 source declarations), style, index generation and static quality all pass. The final project-clean build has zero warnings and measured 806.366s versus 902.797s baseline (10.7% lower) under the recorded comparable conditions. These are single runs on a shared VM. All seven repaired modules also pass synchronous profiling; cut-free inversion's root-command heartbeat cost fell from 937,877 to 24,053. The earlier published revision's full-pool CI checkpoint is preserved. Fresh CI and configured independent review on this new head remain necessary. Historical contributor-authored reviews do not override those results or authorize a protected merge. |
|
/review Exact head: |
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{
"review_kind": "Exact-head source-delta review, retaining the prior complete import assessment",
"reviewed_commit": "41af0fb76917d5266637fb96a04cbea03d541c6d",
"summary": "The seven-file child addresses the duplicated helper libraries identified in configured review2220 and my quality follow-up. It also shares the ground-graph transport proof and factors repeated cut-free inversion through one proved constructor characterization.",
"assessment": {
"scope": "Seven changed full source pairs; 231 other files authenticated as unchanged from the previously reviewed238-file import",
"maintainability": "improved",
"brittleness": "more_robust",
"risk": "low",
"introduces_tech_debt": false,
"assessment_one_sentence": "Shared named proof interfaces remove parallel implementations while retaining the existing public mathematical contracts."
},
"verdict": "approve",
"findings": [],
"verification_scope": "The complete actual seven-file delta and full changed bodies were authenticated against Git blobs and the current tree, with independent reviews split across helper reuse and the cut-free/ground-transport proofs. The model assumptions, heterogeneous arities and assignments, existing public endpoint statements, original IsCutFree inductive and usable import routes are retained. cutFreeStep is total, treats cut as false, and has a proved equivalence to the original predicate; the seven inversion lemmas keep their statements.",
"preserved_import_assessment": "The prior faithfulness, provenance, citation, significance and bounded novelty assessment is retained through this inspected child. The card, entry, Imports, dependency pins, policy/gates and all other repository paths are fixed. This is not a fresh line-by-line review of all84k lines.",
"quality_scope": "The concrete findings at afc are addressed at this child. Historical configured2220 needs_discussion and my5575785905 advisory review remain attached to afc; neither is relabeled as an approval of a different revision.",
"validation_scope": "No local build, compiled-declaration preservation certificate or benchmark was rerun by this reviewer. The author's806.366-second project-clean timing and declaration counts are attributed local evidence. Successful hosted CI on afc is historical and does not qualify this child.",
"gate_status": "Source accepted only at41af. Its own applicable CI and configured review remain independent; the author's existing current-head request6274884225 must not be duplicated. Current-main proper PUSH validation has not yet been qualified, so the infrastructure priority hold remains in force for new native admissions. This review does not enroll, enable automatic merging, or waive a gate."
}
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The additional duplicate-proof finding at The repair gives the standard tag/payload readers a common owner in All 66 existing public qualified declaration names and type headers in these five files are preserved. Targeted compilation passed; the full project and quality checks are running locally. The published head stays fixed while its full-pool CI continues. This is a repair status update, not an approval or a substitute for fresh checks and configured review of the eventual source revision. |
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Repair head: The reported existence-helper and canonical-reader copies now share implementations in the arithmetic and evaluator layers. Existing evaluator names remain forwarding theorems. The broader source pass also shared literal graph definability and predecessor arguments, and factored three induction proofs through a general quantifier-opening theorem. All 243 existing public declaration names and type headers in these nine files remain unchanged. Local checks pass on this exact source: all 237 modules build without warnings; 20,650 compiled declarations pass the linters; 7,515 source declarations pass the trust/option audit; style, generated indexes, static quality and diff checks pass. All nine changed-module synchronous profiles pass at their default budgets. The final controlled clean build measured 839.657s versus 902.797s baseline (7.0% lower). It is 33.3s slower than the previous 806.366s checkpoint; single shared-VM timings do not establish an isolated effect for this cleanup. The induction module's paired synchronous profile fell 80.67→66.14s, and its induction declaration metric fell 45.9% after deduplicating macro expansion traces by declaration. The prior 41af full-pool CI success and all earlier review checkpoints are preserved. Fresh checks and configured review on this repaired head are required before protected queue entry. This contributor-authored status update has no authority over independent review or branch protection. |
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/review Exact head: |
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{
"review_kind": "Exact-head source-delta review, retaining the prior complete import assessment",
"reviewed_commit": "f5169e0d6d5db196c6f27ffd0ed09ce0edabe934",
"summary": "The nine-file repair addresses the remaining existence-helper and canonical-decoder duplication. Shared literal-graph substitution, predecessor evaluation and quantifier-opening induction also replace repeated proved arguments.",
"assessment": {
"scope": "Nine complete changed source pairs; 229 other files authenticated as unchanged within the previously reviewed 238-file import",
"maintainability": "improved",
"brittleness": "more_robust",
"risk": "medium",
"introduces_tech_debt": false,
"assessment_one_sentence": "The new shared interfaces remove parallel proofs while preserving the existing public mathematical contracts and their model assumptions."
},
"verdict": "approve",
"findings": [],
"verification_scope": "Reviewed the complete actual nine-file delta, with independent reviews of the five decoder/existence files and four expanded semantic files. Existing evaluator decoder names remain forwarding theorems; canonical readers specialize the arithmetic-layer implementation without an import cycle. The eager conditional still requires both branches, the shared cell supplier is proved under PA, and predecessor consumers retain PA plus IOpen. Literal graph substitution preserves the same Sigma-one valuations. The new general opening induction is proved by measured Sigma-one induction; all three old APIs discharge its definability, closure and complexity requirements using existing lemmas.",
"public_API_scope": "All 243 recognized pre-existing public written declaration headers are preserved after whitespace normalization, with unchanged surrounding imports, namespaces, sections and model binders. New shared public helpers are additions. This source comparison is not a compiled-environment identity certificate.",
"preserved_import_assessment": "The prior faithfulness, provenance, citation, significance and bounded novelty assessment is retained through this inspected child. The project card, entry, Imports, dependency pins, gates and other repository paths are unchanged. The concrete duplication findings in configured review 2221 are addressed here; its historical needs_discussion result remains attached to 41af.",
"validation_scope": "The author's local builds, declaration counts, profiles and 839.657s versus 902.797s timing remain attributed evidence. I did not rerun a local build or benchmark. Successful hosted CI on 41af is historical; it does not qualify f516.",
"gate_status": "Source accepted at f516 only. Its own applicable CI and configured review remain pending; the existing matching request 6276796303 must not be duplicated. Current-main validation is still incomplete, so the infrastructure priority hold remains active. All normal protected queue and independent owner conditions remain required."
}
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The configured review at The complete 237-module project rebuild, declaration linters (20,649 compiled declarations), trust/option/card audit (7,515 source declarations), style, generated index, repository static quality and whitespace checks pass. The controlled clean build passes with zero warnings in 915.547s, compared with the original 902.797s baseline: 1.4% slower. All earlier clean observations remain in the record; an overall timing gain is not established. Combined synchronous congruence-module root-trace work falls 5.1%, with wall time 15.527→15.187s. Exact source hashes match the validation checkpoint. Fresh CI and configured reviews on |
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/review Please review current head |
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{
"review_kind": "Exact-head source-delta review retaining the prior complete import assessment",
"reviewed_commit": "b49235e6dc0fb2c388d260fdc6cbddec9b609bdd",
"summary": "The two-module repair consolidates the specialized congruence chains into the existing heterogeneous graph-equivalence implementation.",
"assessment": {
"scope": "Two complete changed source pairs and 236 authenticated unchanged files within the previously reviewed 238-file import",
"maintainability": "improved",
"brittleness": "more_robust",
"risk": "low",
"introduces_tech_debt": false,
"assessment_one_sentence": "One proved implementation now supports both the heterogeneous and fixed-assignment APIs, preserving the existing mathematical contracts."
},
"verdict": "approve",
"findings": [],
"verification_scope": "Independently reviewed the complete actual delta and canonical changed bodies. EvalEq and sixteen helpers move into Evaluation under the same namespace with identical complete commands and the same ORingStructure model scope. Eighteen existing fixed-assignment statements become forwarding theorems. The minimization specialization preserves every search-input hypothesis, with the required argument reordering. The generic minimization, subtraction, square-root, conditional, unpairing and pairing proofs remain unchanged. The removed private minimization copy has no current source clients.",
"public_API_scope": "All 78 pre-existing public written headers, qualified names, imports and ambient assumptions are preserved. Moving the declarations leaves them available through the existing public imports. This is a source comparison, rather than a compiled-environment identity certificate.",
"preserved_import_assessment": "The prior mathematics, faithfulness, provenance, citation, significance and bounded novelty assessment is retained through this inspected child. The card, entry, Imports, dependency pins, gates and all other repository paths are unchanged. The concrete duplicate-proof finding in historical review2225 at f516 is addressed here.",
"quality_and_validation_scope": "Acceptance rests on shared proofs and preserved contracts. The author reports a 1.4% slower single project-clean build; the local build, declaration counts and component measurements remain attributed evidence. I did not rerun a local build or benchmark. The cancelled f516 CI remains historical and gives this child no validation credit.",
"gate_status": "Source accepted at b492. The matching configured review2226 separately passes all five rubrics; request6278148415 is fulfilled and must not be repeated. This head's own CI remains pending. Applicable current-main validation was independently qualified at b25; normal protected queue validation and every independent owner condition remain required before any future admission or merge."
}
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Separate contributor source review — APPROVE at This is the importing agent's separate source assessment, alongside the configured independent GPT rubrics and advisory Greptile review. It carries no independent human approval authority. No material source finding remains unresolved.
The configured GPT review approves this exact head with all five rubrics passing. Its own attempted build encountered a dependency-fetch HTTP 403; the independent Azure build and GitHub CI above supply compilation evidence. Greptile reports no blocking defect but does not clear the entire contribution for merge; that coverage limitation remains explicit. Its sole earlier decoder thread is resolved. Historical contributor verdicts are not evidence for the independent rubric review. Current main's applicable source validation is green, and the rollout/migration prerequisites are merged. This source is eligible for the normal protected native queue, with its combined-revision checks preserved. |
1 participant
Pointwise provable equality of actual unary programs fails to respect composition for every consistent recursively enumerable extension of Peano arithmetic. This imports the completed development, its independent productive-set and Gödel proofs, the Π₁-completeness characterization, the classification of the generated congruence, and its sound-case monoid equivalence with actual unary partial recursive functions. With consistency alone, compatibility is equivalent to Π₁-completeness. For every PA extension, the generated congruence is extensional equality in the Σ₁-sound case and universal otherwise.
The supporting closure provides first-order syntax, semantics, proof coding, arithmetic representability, and a concrete evaluator with proved arithmetization and graph realization.
Kleene.evaluses Mathlib'sNat.Partrec.Code.evalon decoded natural-number indices;UnaryPartrecis the subtype of actualNat.Partrecpartial functions. The concrete headline endpoints construct the required evaluator data.Source, eligibility and scope
506d1f1494d6c05b0ba304edf5fe0bfa6c32864b.[2026-08-19 09:45:11 UTC, 2026-10-12 09:45:11 UTC). The arXiv timestamp is submission-history evidence; an exact first public announcement minute was not independently verified.dea04886088894fa919b54249b4e97ad59d56d54, also inside the interval. This record is upstream-reported; the port was independently compiled and audited locally.01f617fbe240a84aaf1c45b31b9d65e0a2e21c1d.LeanPool.lean, toolchain/dependency pins and all validation gates are unchanged.Port and measured optimization
The port targets Lean 4.35.0-rc3 and Mathlib c55e6e786f49471c72fbddbec5415808896aec1e. It repairs syntax/tactics, classical scopes, simp normal forms, unused assumptions and current declaration/style requirements. Partial metaprogram traversal becomes total recursion. Heartbeat overrides and prohibited options are removed. Expensive proof steps and imports are factored, and simplification uses the required lemmas without weakening the results.
The follow-up sharing removes 1,436 net lines relative to the first published port. Generic decoder arithmetic has one owner in
ArithmeticCode.NumeralEvaluation.IndexDecoder; existing evaluator names forward to that implementation. Canonical readers specialize it. Conditional and primitive-recursion cell existence, literal graph definability under term substitution, and predecessor-argument proofs are shared through existing dependencies. A general fixed-bound induction theorem covers the three quantifier-opening variants. The earlier nine-file repair preserves 243 pre-existing public named declaration headers. The latest repair additionally preserves all 78 public headers acrossArithmeticCode.EvaluationandEvaluationCongruence, including the 17 interface declarations moved into the lower module under the same public namespace. Eighteen specialized congruence proofs now forward to the heterogeneous graph-equivalence implementation, and the unused private minimization copy is removed. Imports, endpoint statements and hypotheses are unchanged.Controlled project-clean builds used:
Every own project
lib/leanandirartifact was removed for each run. Dependency artifacts and the OS cache stayed warm. These are single runs on a shared VM.b49235e6dThe measured source hashes match all 238 files in the final validation checkpoint. Earlier successful clean runs include 799.796s, 820.992s, 831.276s, 806.366s and 839.657s; all checkpoints are retained. The final observation is 12.750s longer than the original baseline. These measurements do not establish an end-to-end wall-time speedup, and no causal timing claim is made about shared-VM load.
Controlled synchronous component profiles give further evidence:
LK/CutFreemodule wall timeFunctionsmodule wall timeThe induction group uses the maximum root trace per declaration to avoid counting lemma macro expansion entries twice: 45.9% lower. The general helper preserves the three original theorem types and proves the shared induction once. All eleven modules changed in the last two sharing repairs have successful synchronous profiles at their current source hashes. For the two congruence modules together, synchronous wall time changes from 15.527s to 15.187s and the root-trace heartbeat metric from 64,959 to 61,667 units (5.1% lower). General declarations move between modules, so combined totals are used. The full advisory profile at current head
b49235e6dcovers exactly all 237 expected files, with zero errors (run). Its 327.09s remote changed-module build is separate from the local controlled project-clean protocol.Earlier representative proof costs also fell substantially:
CraigPresentation.axiom_proof_iff484,853→1,120 HB units,semiformula_result_induction146,615→79,063, andHistoryEvaluation.getAt_descend120,472→62,189. The old failed synchronousHFS.Seqbaseline profile is excluded from comparisons; its optimized version profiles successfully without an override.The full advisory profile and a bounded source-similarity comparison were inspected. Additional literal-graph and predecessor-argument copies were repaired. The remaining similar proofs handle distinct relation constructors, quantifier polarities, hierarchy restrictions or Cantor components; replacing a hierarchy-preserving theorem with unrestricted definability would lose information. A subsequent configured review identified the remaining specialized congruence chain; the latest repair consolidates it and the related primitive chain. The remaining similarity families have no identified equivalent general implementation; this is a bounded source assessment, not an exhaustive proof of optimality.
Validation and review
Local checks at
b49235e6dc0fb2c388d260fdc6cbddec9b609bdd:lake exe mk_all --module --check, pass.lake exe lint-style LeanPool.PointwiseComposition.Imports, pass.git diff --check: pass.LeanPool.leanare unchanged by the follow-up repair. No Python/workflow files changed.Duplicate checks covered split cards, pool source/history, open/closed PRs and issues. Mathlib's
ComputablePred.rice/rice₂address decidable extensional predicates, rather than these PA-provability congruence results. Bounded pinned/latest Tau Ceti tree and code searches found no matching headline; this is not an exhaustive semantic novelty proof.Configured review results and contributor assessments remain attached to their exact source heads in the PR discussion. This revision repairs the concrete duplicate-proof findings. The current-head full-pool CI passes build, warning, lint, style and quality validation. All applicable required contexts pass, with unchanged workflow scope skips for unrelated validations. The configured GPT review approves the exact head with all five rubrics passing. Greptile reports no blocking defect and retains its full-coverage limitation; its earlier decoder thread is resolved. The normal protected native queue remains responsible for the combined revision. Historical contributor assessments have no authority over independent review or branch protection.