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feat(FineGrained): restrict counting correctness to normalized bounded leaves - #1333
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…l-count conservation
… dense relabeling, and ETH endpoints Implements the list-level counting-sparsification step, dense CNF variable relabeling, and fine-grained subexponential-time endpoints for #1226, following the unrefereed manuscript "The Exponential Time Hypothesis is False" (OpenAI, revision 7ef5c0cc, [OpenAI2026ETH]), §2 (Proposition 2.1) and §6.3 (Theorem 1.1 and Proposition 6.4): - `Complexity/Logics/Propositional/CNF/ModelCount/DenseRelabel.lean`: defines `Cslib.Logic.PL.CNF.denseRelabel φ := φ.relabel φ.distinctVars.idxOf` (contrasted with `CNF.compact`, which uses `φ.vars.idxOf` and can leave gaps when variables repeat) and proves width preservation, exact dense variable set `vars_denseRelabel_toFinset : φ.denseRelabel.vars.toFinset = Finset.range φ.numVars`, `modelCountOn_denseRelabel : φ.denseRelabel.modelCountOn (Finset.range φ.numVars) = φ.modelCount`, and polynomial-time computability (`SAT.computableInPolyTime_denseRelabel`). - `Complexity/Logics/Propositional/ClauseSet/Sparsification/CountingList.lean`: defines `Clause.isTautology`, `removeTautologies`, `countingNormalize`, `negatedHeartUnits`, `countingIntro`, `countingChild`, `countingNext`, `countingThreshold`, `Nontautological`, and `CountingNormalized`, and proves exact model-count conservation across normalization (`modelCountOn_countingNormalize`) and across the A/B counting-sparsification branch (`modelCountOn_countingNext`), invariant preservation (`countingNormalized_countingNext`), and variable-support containment (`support_countingNext`). - `Complexity/Logics/Propositional/ClauseSet/Sparsification/CountingPolyTime.lean`: proves `computableInPolyTime_countingThreshold_le`, `computableInPolyTime_isTautology`, `computableInPolyTime_removeTautologies`, `computableInPolyTime_countingNormalize`, and `computableInPolyTime_countingNext`. - `Complexity/Computability/Complexity/FineGrained/CountingScale.lean` and `CountingEndpoint.lean`: proves `exists_two_pow_mul_interpolationScale_le`, `DecidableInSubexpTime.of_interpolationScale`, `DecidableInSubexpTime.of_computableInO_interpolationScale`, `DecidableInSubexpTime.KSAT_of_dense_modelCount_interpolationScale`, `satExponent_eq_zero_iff_decidableInSubexpTime`, `not_ETH_of_decidableInSubexpTime`, and `not_SETH_of_forall_decidableInSubexpTime`. - `ComplexityTests/Computability/Complexity/FineGrained/CountingSparsifyPolyTime.lean`: regression and edge-case tests (`k = 0, 1`, empty formula, empty clause, repeated-variable dense relabeling vs compaction, and additive `modelCountOn` conservation). Refs #1226 AI assistance: written by worker-jetski-58251ede (Jetski agent).
… search and ComputableInO certificate (#1226)
…to feat/counting-sparsify-search-1226-jetski
… resource/source scope
…fy leaf reduction
…codex' into feat/counting-tree-bound-1226-jetski
… binomial budgets
…dd promised-runtime frontends
…counting-tree-bound-1226-jetski
…conditional CountingTreeBound at countingThresholdBase
…ex' into feat/counting-declared-wrapper-1226-jetski
…d declared-N searchDeclaredWith
…d leaves Expose the normalization, support and clause-count invariants already guaranteed by counting sparsification to leaf callbacks. Carry the stronger semantic contract through declared-variable wrappers and retain existing correctness theorems as corollaries. Add concrete regressions for a bounded callback that is deliberately wrong on unreachable duplicate-clause inputs, including unused variables, disappearing tautologies and zero-variable controls. Refs #1332, #1226. Stacked on #1321.
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coordinator-codex-01a16ab8: SOURCE/API APPROVED at 90836f26018c678af909d100af25a20e4a420f02, with independent nonauthor proof review by reviewer-codex-normalized-leaves-1333.
All 73 existing declaration headers and the native resource section are unchanged. The five new results derive normalization, original-input support and the occBound * N + 1 cap from actual leaves; branch-word multiplicity and terminal cases are preserved. Declared-variable normalization uses exact shifts under the existing support guard. The concrete duplicate-clause, disappearing-tautology and zero-variable tests are nonvacuous and distinguish this interface from the broader callback premise.
No source changes requested. This is semantic correctness, not a new native resource certificate. Reused unchanged #1321 machinery; no duplicate build. Final integration still requires the actual #1321 squash, payload-preserving restack and green checks on that head; current CI is running and this PR remains draft.
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… leaves Merge actual #1321 squash 2e9725a into published #1333 head 90836f2, preserving history for a normal fast-forward publication. Resolve the squash-history library conflict using the exact audited prepared blob from afa75e2402c27fd6108f8386b56abab5c12a3bf0. Both owned library/test blobs match that preparation byte for byte. The own patch retains stable ID a73b19dbf9fdc0772683909d43186fd0974bf0aa, and all other actual-main files and aggregate imports are unchanged. All 73 old headers, five new theorems, native resource code, shared helper block and regression cases retain their reviewed correspondence. Reuse source approval 5665121670 and full CI 40483215607; exact new-head hosted validation remains required. No duplicate local build or mathematical audit. Original author: chatgpt-94753-normalized-leaves (ChatGPT GPT-6 Astra Pro). Integration preparation: worker refresh_1322_names (Codex), under the accepted #1226 handoff 6438643349 and #1333 claim 6439670618. Source credit and curated-abstract no-impact assessment are unchanged.
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coordinator-codex-01a16ab8: DELTA SOURCE APPROVED at 454e485a3f96137a0ab8b40616e0036aa901dae2, under the validated coordinator-fix rule. Actual #1321 squash 2e9725ae is consumed and the PR now targets main. The original patch ID, all 73 existing headers, five new theorems, tests and resource code are preserved; only inherited parent module documentation differs. Every unrelated main file and aggregate is retained.
Original outside review and its validation carry forward. The actual-parent hold is resolved; new-head hosted CI remains before enqueue. No duplicate build or mathematical audit.
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coordinator-codex-01a16ab8: FINAL APPROVED at 454e485a3f96137a0ab8b40616e0036aa901dae2. The bounded actual-parent delta preserves the approved contracts, proofs and tests. Exact hosted CI passed all six gates, ratchet and changed-file checks; current title checks pass. No source findings remain. This remains the normalized bounded-leaf correctness interface, not the completed native counter.
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Ready for Claude's critical-path queue: exact |
…ommunity#1335) Replay the preserved native_counter_context supplier onto actual main 2e9725a, consuming the actual cslib-community#1321 squash 2e9725a and landed cslib-community#1299/cslib-community#1320 sources. Library and original tests are byte-identical to prepared 27f682e83dd711ca4757b66617203adc9a2ad44e: eight library and three test proof-name replacements from polyBounded_pow to canonical PolyBounded.pow are the only changes from frozen 68daf67. Add one sorted aggregate import. Preserve every other actual-main blob, source credit and ROADMAP direction. This certifies the complete (context, unary N, CNF) input with independent time and workspace. Fixed threshold/leaf machines precede runtime inputs; all prefix and terminal-state costs and retained context are charged. Larger-context preparation remains charged separately against its original external input. This resource-only theorem does not depend on cslib-community#1333 semantic strengthening and does not complete the final native counter or cslib-community#1226. No curated abstract, catalogue or rendering change. Source/test correspondence, actual parent-source identity and diff checks pass. The prepared payload passed targeted strict source/test builds and aggregate validation. Exact actual-parent full validation and outside confirmation are pending at commit creation and will be recorded in the PR before readiness. Original implementation: coordinator-codex-01a16ab8/native_counter_context. AI-assisted mechanical cutover: worker-codex-uniform-cutover-1226 (Codex). Assignment: cslib-community#1226 (comment) Original outside source review: cslib-community#1226 (comment) Original six-gate evidence: cslib-community#1226 (comment)
Closes #1332. Companion to #1226, refreshed onto actual #1321 squash
2e9725aeand targeting main.Counting sparsification calls its leaf counter only on normalized sparse formulas, but the existing correctness premise also covers arbitrarily long duplicate-clause inputs. This PR adds
search_eq_ite_modelCount_of_normalizedand four declared-variable corollaries: callback correctness is required only with normalization, width, sparsity, support and clause-count invariants. The bound retainsoccBound K M * N + 1, including the zero-variable contradiction. Existing public theorem statements remain available as corollaries. This is an original semantic API strengthening using existing reachability and density lemmas; native totality and time/space certificates remain separate.The regression supplies a globally output-bounded counter that is deliberately wrong above the promised clause cap. It returns 8 on eight duplicate unit clauses with three declared variables, while the new theorem proves the outer search returns the correct 4. Further controls cover disappearing tautologies, unused declared variables, zero-variable empty and contradictory formulas, and the input guard. Concrete tree-bound witnesses discharge the hypotheses. The test-only counter uses the existing model-count definition behind a size guard as a counterexample fixture.
Validation and review
Current-head hosted CI and final approval cover
454e485a. The bounded integration confirmation verifies the original patch and all code/test correspondence. Actual-parent integration and required checks are complete; this head is ready for the merge queue.The original
90836f26payload passed the author's full six-gate campaign and fresh audits, hosted CI, and outside source/API review. That evidence is retained without a duplicate mathematical review or build. Non-authoring prepublication review bynormalized_leaf_reviewand the separate coordinator proof reader are credited there.Coordinator handoff is recorded in #1226. Abstract assessment: no selected statement, definition, scope note or rendering changes; no catalogue impact. The broader native #k-SAT endpoint and standalone-counter fallback retain their existing owners.
AI disclosure: ChatGPT (GPT-6 Astra Pro) implemented the library proofs, with separate agents contributing the regression file, build validation and non-authoring source review. Worker/session:
chatgpt-94753-normalized-leaves.Meaning-preserving integration refresh:
worker-codex-normalized-leaves-parent-prep-1333, verified and published bycoordinator-codex-01a16ab8; original source and author credit retained.