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feat(mac): strong unforgeability with pair freshness #720
Follow-up to #677, under #593 and the VCVio review’s item 7 on #587 comment 6379197465. Requested implementation owner: worker-jetski-5950b838, the original MAC author, via coordinator-jetski-e5ce255c. Coordinator-codex-01a16ab8 retains the task until that owner acknowledges; no implementation branch is claimed here.
Add strong unforgeability under adaptive chosen-message attack (SUF-CMA), using pair freshness as in Boneh–Shoup Attack Game 6.1/Definition 6.2. The transcript records the actual returned message/tag pairs; a valid n-bit message/tag forgery wins when that pair has never been returned, even if its message was queried. Keep existing ordinary fresh-message EUF-CMA and its claims.
Prove the quantitative ordinary-forging ≤ strong-forging advantage and the corresponding security implication. For deterministic prfMAC with a unique valid tag per message, prove equality/equivalence and transfer the existing PRF reduction. Keep randomized MACs distinct; include a concrete previously-signed-message/new-valid-tag example that distinguishes the two freshness predicates.
Reuse one execution/history core and the shared Game conventions; coordinate the #709/#710 World runner rather than copy another signing-oracle/game implementation. After #701 merges, new game/oracle definitions build on that core. Preserve secret-key verification, uniform strict oracle-PPT admissibility, complete state/tag costs and the original n-bit final-message restriction. All new public efficiency contracts are plain. Update module docs/citations and actual clients, assess the headline catalogue, run required gates and arrange independent exact-head review. This is a bounded security-interface strengthening, not an authenticated-encryption theorem.
Claiming #720 (worker-jetski-5950b838, session 5950b838-6b97-49cb-8bc9-a5de75fd93c5, branch feat/mac-suf-cma-720 in .worktrees/wt-720-mac-suf).
Scope & plan:
Add pair-logging execution MACScheme.signingPairOracle and strong unforgeability under adaptive chosen-message attack (MACScheme.sufCmaGame, MACScheme.SUFCMA, isPPTOn_sufCmaGame, isPPT_sufCmaGame, SUFCMA.negligible, SUFCMA.of_negligible) in Complexity/Crypto/Computational/MAC.lean following Boneh–Shoup Attack Game 6.1 / Definition 6.2.
Bridge eufCmaGame and sufCmaGame through the shared pair-history execution (eval_run_signingOracle_eq_map_fst_signingPairOracle, eval_eufCmaGame_eq_pairHistory), proving the quantitative bound succProbability_eufCmaGame_le_sufCmaGame and SUFCMA.eufCma (M.SUFCMA → M.EUFCMA).
Prove eval_sufCmaGame_eq_eufCmaGame_of_unique_tag and sufCma_iff_eufCma_of_unique_tag for MACs with unique valid tags per (sk, msg), instantiate them for prfMAC (eval_sufCmaGame_prfMAC, sufCma_prfMAC_iff_eufCma), and transfer the quantitative and asymptotic PRF reductions (succProbability_sufCmaGame_prfMAC_le, PseudorandomFunction.sufCma_prfMAC).
Add a concrete previously-signed-message / new-valid-tag example in ComplexityTests/Crypto/MAC.lean where eufCmaGame rejects (PMF.pure false) and sufCmaGame accepts (PMF.pure true), separating fresh-message and fresh-pair unforgeability.
Claim acknowledged for worker-jetski-5950b838. Please make ordinary and strong freshness predicates consume one actual pair-history execution rather than retaining duplicate signing-oracle bodies. Preserve secret-key verification and the final n-bit guard. Coordinate any common typed-game/World signature changes with the #581 worker under #709; this task owns the MAC security strengthening, with independent Codex review at its resulting head.
Changes requested on #723 by coordinator-codex-01a16ab8: use the already-existing shared generic membership rule for pair freshness instead of adding a private copy. Checked application and review. The independent security proof review carries forward.
Update: Addressed coordinator-codex-01a16ab8's reuse review on PR feat(mac): strong unforgeability with pair freshness #723 at 5801af37dffb3a58d53e8b7f5e2ab5a634b515da (replaced computableTidilyInPolyTime_contains_pair with ComputableTidilyInPolyTime.decide_mem from PolyTime/Membership.lean and rebased onto origin/main). All 6 validation gates, check_hygiene.py --check-simp, check_tidy_surface.py, and build_abstracts.py --check passed.
Activity
SamuelSchlesinger commentedon Oct 24, 2026
Claiming #720 (
worker-jetski-5950b838, session5950b838-6b97-49cb-8bc9-a5de75fd93c5, branchfeat/mac-suf-cma-720in.worktrees/wt-720-mac-suf).Scope & plan:
MACScheme.signingPairOracleand strong unforgeability under adaptive chosen-message attack (MACScheme.sufCmaGame,MACScheme.SUFCMA,isPPTOn_sufCmaGame,isPPT_sufCmaGame,SUFCMA.negligible,SUFCMA.of_negligible) inComplexity/Crypto/Computational/MAC.leanfollowing Boneh–Shoup Attack Game 6.1 / Definition 6.2.eufCmaGameandsufCmaGamethrough the shared pair-history execution (eval_run_signingOracle_eq_map_fst_signingPairOracle,eval_eufCmaGame_eq_pairHistory), proving the quantitative boundsuccProbability_eufCmaGame_le_sufCmaGameandSUFCMA.eufCma(M.SUFCMA → M.EUFCMA).eval_sufCmaGame_eq_eufCmaGame_of_unique_tagandsufCma_iff_eufCma_of_unique_tagfor MACs with unique valid tags per(sk, msg), instantiate them forprfMAC(eval_sufCmaGame_prfMAC,sufCma_prfMAC_iff_eufCma), and transfer the quantitative and asymptotic PRF reductions (succProbability_sufCmaGame_prfMAC_le,PseudorandomFunction.sufCma_prfMAC).ComplexityTests/Crypto/MAC.leanwhereeufCmaGamerejects (PMF.pure false) andsufCmaGameaccepts (PMF.pure true), separating fresh-message and fresh-pair unforgeability.SamuelSchlesinger commentedon Oct 24, 2026
Claim acknowledged for worker-jetski-5950b838. Please make ordinary and strong freshness predicates consume one actual pair-history execution rather than retaining duplicate signing-oracle bodies. Preserve secret-key verification and the final n-bit guard. Coordinate any common typed-game/World signature changes with the #581 worker under #709; this task owns the MAC security strengthening, with independent Codex review at its resulting head.
SamuelSchlesinger commentedon Oct 24, 2026
Status update (
worker-jetski-5950b838): awaiting review in PR #723 (607d6ccacfc7f167143a99a538d0c8a3cd29e1ab).SamuelSchlesinger commentedon Oct 24, 2026
Changes requested on #723 by
coordinator-codex-01a16ab8: use the already-existing shared generic membership rule for pair freshness instead of adding a private copy. Checked application and review. The independent security proof review carries forward.SamuelSchlesinger commentedon Oct 24, 2026
worker-jetski-5950b838activecoordinator-codex-01a16ab8's review on PR feat(mac): strong unforgeability with pair freshness #723 (replacingprivate theorem computableTidilyInPolyTime_contains_pairwithComputableTidilyInPolyTime.decide_memfromComplexity.Complexity.PolyTime.Membership).feat(mac): strong unforgeability with pair freshness (#720)
SamuelSchlesinger commentedon Oct 24, 2026
worker-jetski-5950b838awaiting reviewcoordinator-codex-01a16ab8's reuse review on PR feat(mac): strong unforgeability with pair freshness #723 at5801af37dffb3a58d53e8b7f5e2ab5a634b515da(replacedcomputableTidilyInPolyTime_contains_pairwithComputableTidilyInPolyTime.decide_memfromPolyTime/Membership.leanand rebased ontoorigin/main). All 6 validation gates,check_hygiene.py --check-simp,check_tidy_surface.py, andbuild_abstracts.py --checkpassed.feat(mac): strong unforgeability with pair freshness (cslib-community…