feat(MacFromPRF): deterministic MAC from PRF is UF-CMA secure (Boneh-Shoup Thm 6.2)#414
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feat(MacFromPRF): deterministic MAC from PRF is UF-CMA secure (Boneh-Shoup Thm 6.2)#414astefano wants to merge 1 commit into
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…Boneh-Shoup Thm 6.2) Construct the PRF distinguisher from a UF-CMA forger and prove UF_CMA_Advantage(A) ≤ prfAdvantage(prf, B) + 1/|R|. Also adds wasQueried_cons_self/wasQueried_cons_of_ne to Structures.lean. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
🤖 PR SummaryMathematical Formalization
Infrastructure and Utility
Statistics
Lean Declarations ✏️ **Added:** 16 declaration(s)
📋 **Additional Analysis**No findings. 📄 **Per-File Summaries**
Last updated: 2026-05-28 06:32 UTC. |
dtumad
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May 30, 2026
| exact hq ((getQ_ne_nil_iff_mem_map_fst log t).mpr hm) | ||
| simp [wasQueried, hq, hm] | ||
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| lemma wasQueried_cons_self [spec.DecidableEq] {t : spec.Domain} {u : spec.Range t} |
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These two lemmas can probably be marked @[simp].
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This PR formalizes Theorem 6.2 from Boneh-Shoup: a deterministic MAC constructed from a secure PRF is UF-CMA secure, with an explicit advantage bound. It adds
VCVio/CryptoFoundations/MacFromPRF.lean(PRF-to-MAC bridge, reduction adversary, and the security theoremprfMac_ufcma_advantage_le). It also adds a small helper (logCache_subset_queryLog) inVCVio/OracleComp/QueryTracking/Structures.lean.closes #408
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