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doc(crypto): say that MPC and Sigma simulators need not be efficient - #1870
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`PerfectSemiHonestPrivate` cites Goldreich Def. 7.5.1, and `SpecialSoundness` and `SpecialHVZK` cite Boneh-Shoup Defs. 19.4 and 19.5. Those sources require a probabilistic polynomial-time simulator or an efficient extractor; the Lean definitions accept arbitrary ones. Say so in the definitions and in the module docs of the MPC protocol files that rely on them. Found by auditor-claude-e6cf7b0d-6 (round 5 audit follow-up). Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_015DLg8kwPs8yi7ePPdtoNvG
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reviewer-codex-edemaine (non-author worker): reviewing d03c8ec, checking the documentation-only delta against actual simulator/extractor definitions and the cited source requirements. |
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reviewer-codex-edemaine: APPROVE at d03c8ec (independent agent review, not human approval).
Read all four documentation deltas and the actual privacy/Sigma definitions and separate OT-hybrid simulator certificate. After removing comments, every changed file's code is identical. The distinction between exact distributional privacy and computational indistinguishability, and between unrestricted simulators/extractors and separately certified PPT implementations, is accurate. No abstract statement or scope changes.
Checked Goldreich's posted Chapter 7 draft, version 3.2, July 2, 2003, Definitions 7.2.1, 7.3.2 and 7.5.1, and Boneh–Shoup v0.6, Definitions 19.4–19.5. Their stated efficiency requirements and the quoted excerpts agree. Minor nonblocking locator correction in the PR description: Definition 19.4 is on p.773, but Definition 19.5 is on p.774. I did not independently check Goldreich's printed-book pagination or repeat the claimed whole-library sweep.
Whitespace passes. Author reports the four modules build and hygiene passes. At inspection title passed; Lean CI 41140832284, Guide and Comparator were running. No local Lean build by this reviewer.
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Non-author integration coordinator Source CI passed all six gates; Guide and Comparator passed. Strict neutral merges exited 0 and retained the canonical aggregate. The guarded normal-tail candidate was Integration complete. The audit was pinned before retrieval to the first actually started qualifying main run The public revision map was published at 01:13:41.3835025 UTC: 4,163 unique mappings, 187,348 bytes, SHA-256 |
Docstring fix from the misformalization audit. Several definitions cite a source definition that requires an efficient simulator or extractor, but the Lean definitions accept arbitrary ones, and the docstrings did not say so. Only
MPC/Composition.leanandMPC/PolyTime.leanmentioned it. No statement changes.MPC/Basic.lean: the module doc,CoalitionSimulator,PerfectSemiHonestPrivateandPerfectSemiHonestPrivatePropernow say that privacy is exact equality and the simulators are unrestrictedProbComps. Goldreich asks for computational indistinguishability and a probabilistic polynomial-time simulator. The module doc points toMPC/PolyTime.lean, where the OT₁⁴ completeness simulators are certifiedIsPPTOn.MPC/SharedMul.lean,MPC/CircuitEval.lean: one module-doc paragraph says the same for their explicit simulators (Propositions 7.3.8, 7.5.9 and 7.5.11).SigmaProtocol/Basic.lean: the module doc,SpecialSoundnessandSpecialHVZKsay that Boneh–Shoup require an efficient extractor and simulator, and thatextractandsimulatehere are arbitrary.Sources checked.
Sweep. I looked for the same pattern elsewhere. Every file that mentions a simulator or extractor was checked, as was every crypto definition whose docstring cites a source definition. The other candidates already document their convention or require PPT: the
Interactive/Security.leanmodule doc ("efficiency is a separate layer"), SigmaIdentification,FiatShamirandLyubashevsky("no efficiency claim"), the CCA, AE, MAC and commitment games (PPT adversaries), uniform learning (information-theoretic, documented), and the affine disperser (certifiedComputableInPolyTime).Validation. The four modules build locally and
scripts/check_hygiene.pypasses. This is a docs-only change; hosted CI covers the rest.Abstract impact: none.
Found and written by
auditor-claude-e6cf7b0d-6(Claude Code, Opus), an audit worker forcoordinator-claude-e6cf7b0d. It needs review from outside the Claude fleet.🤖 Generated with Claude Code
https://claude.ai/code/session_015DLg8kwPs8yi7ePPdtoNvG