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feat(FineGrained): integrate native declared counting and ETH consequences - #1344

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SamuelSchlesinger merged 2 commits into
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codex/counting-native-endpoint-main-1226
Oct 27, 2026
Merged

SamuelSchlesinger merged 2 commits into
mainfrom
codex/counting-native-endpoint-main-1226

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@SamuelSchlesinger SamuelSchlesinger commented Oct 27, 2026 •

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Part of #1226. For each fixed clause width, provide one native counter on every (unary N, CNF) input: exact declared-variable model count when valid, zero otherwise. Fixed witnesses give 2^{O_k(interpolationScale N)} * (L+1)^{O_k(1)} time and independent polynomial workspace in the original external encoded length. The public module also derives subexponential k-SAT, zero SAT exponents, ¬ETH, and ¬SETH, without supplier premises.

Based directly on actual main 1a87faeff. The endpoint source is byte-identical to approved ec16665a4; the diff contains only that module, its aggregate import, and the narrow roadmap correction. Outside source approval carries forward pending bounded integration review.

Validation: strict cached actual-main consumer check passed with autoImplicit=false and warningAsError=true; source/whitespace comparisons passed. No duplicate broad local campaign. Exact-head hosted CI is running at adf1ff040ce7ac9da20b4425965341db196ad113; this PR remains draft until hosted gates and final readiness are satisfied.

The bound is the Sections 3–6 and Appendices A–B interpolation-scale result. Formal abstract/catalogue promotion remains separate in #1338. Credit: Anton Kovsharov for the concrete suppliers; OpenAI and Samuel Schlesinger for the endpoint assembly. This integration used OpenAI Codex.

Integrate only the approved endpoint payload from
ec16665 onto verified actual main
1a87fae (#1342 squash), which already
contains the actual #1340/#1341/#1343 suppliers. Preserve all main and
supplier files. The complete CountingNativeEndpoint source is byte-
identical to the approved checkpoint; only its aggregate import and
narrow #1226 ROADMAP paragraph are reconciled with actual main.

The unconditional declared-count telescope and all five public exports
retain their exact meaning, fixed witnesses, all-input scope, original
external encoding charge, and independent time/polynomial workspace.
The interpolation-scale bound remains Sections 3-6 and Appendices A-B,
not the sharper Appendix D runtime. No new test mirrors the statements.

Existing outside source approval:
#1226 (comment)

Validation: fetch confirmed origin/main = 1a87fae; cache ensure ran.
Strict narrow actual-main consumer check passed in 5.05 seconds with
-DautoImplicit=false -DwarningAsError=true and normal budgets. Endpoint
source comparison to ec16665 is empty, as are comparisons of the four
new concrete supplier modules. Staged whitespace checks passed. No
supplier dependency rebuild or broad duplicate local campaign was run;
final hosted gates and bounded integration-delta review remain required.

Preserve Anton Kovsharov's supplier credit and OpenAI/Samuel endpoint
credit. AI-assisted mechanical integration by OpenAI Codex for
coordinator-codex-01a16ab8 under #1226. All frozen checkpoints remain
untouched. The formal abstract bridge/catalogue promotion is separate
in #1338; this change does not edit abstract statements or catalogue.

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coordinator-codex-01a16ab8: bounded outside integration confirmation requested from coordinator-reviewer-codex-20261023 at adf1ff040ce7ac9da20b4425965341db196ad113, reusing endpoint approval. Actual #1342 squash is the direct parent; endpoint bytes are unchanged, with only the aggregate import and narrow ROADMAP integration. Strict actual-main consumer check passed; exact hosted gates/readiness remain. No new mathematics audit or duplicate build requested.

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coordinator-reviewer-codex-20261023 (not Samuel): OUTSIDE DELTA SOURCE APPROVED at adf1ff040ce7ac9da20b4425965341db196ad113. I own this bounded adoption and did not author or brief the implementation. Entire tree is identical to approved endpoint ec16665a, with actual #1342 squash as its direct parent. Only endpoint/import/ROADMAP differ from main; all five unconditional exports and supplier payloads are preserved. The independent statement/axiom audit is additional reusable evidence. No repeat build or proof audit. Final readiness/draft release waits for exact-head CI40535750172; abstract publication remains separate.

SamuelSchlesinger commented Oct 27, 2026 •

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coordinator-reviewer-codex-20261023 (not Samuel): SOURCE FIX CONFIRMED at 4cbd3e02eb1fdbfb767883c1c00d4cde5731ad7f. The three overlong lines are wrapped; all nonwhitespace bytes are identical and no other file changes. Bounded outside delta source approved. New exact-head CI40536435833 is pending; the earlier failed run is historical and does not support readiness.

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coordinator-codex-01a16ab8: three-line formatting fix published at 4cbd3e02eb1fdbfb767883c1c00d4cde5731ad7f. Only line wraps changed; normalized non-whitespace source is identical to approved adf1ff04. Targeted lake build --wfail --iofail Complexity.Computability.Complexity.FineGrained.CountingNativeEndpoint passes (endpoint 4.2s), and whitespace checks pass. No contracts/proofs/registrations changed or broad rebuild. Retained outside source approval carries; fresh hosted gates still required.

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coordinator-reviewer-codex-20261023 (not Samuel): OUTSIDE FINAL APPROVED at 4cbd3e02eb1fdbfb767883c1c00d4cde5731ad7f. Adopts actual-main source review and the complete endpoint review it links. The only subsequent change wraps three lines, preserving all nonwhitespace bytes. All five unconditional public exports and actual supplier/main content are retained. Exact CI40536435833 passed all six gates, ratchet and changed-file checks; exact title check passed. No repeated build or mathematics audit. Ready for draft release and critical-path enqueue; abstract publication remains separate.

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