Decrypt uses At Most One Query
decrypt_usesAtMostOneQuery
Plain-language statement
T-transform decryption makes at most one hash-oracle query under unit-cost instrumentation.
Exact Lean statement
theorem decrypt_usesAtMostOneQuery [MonadLiftT m SetM] [LawfulMonadLiftT m SetM]
(runtime : QueryImpl (M →ₒ R) m)
(pke : AsymmEncAlg.ExplicitCoins ProbComp M PK SK R C)
(pk : PK) (sk : SK) (c : C) :
Queries[ (TTransform pke).decrypt (pk, sk) c in runtime ] ≤ 1Formal artifact
Lean source
theorem decrypt_usesAtMostOneQuery [MonadLiftT m SetM] [LawfulMonadLiftT m SetM] (runtime : QueryImpl (M →ₒ R) m) (pke : AsymmEncAlg.ExplicitCoins ProbComp M PK SK R C) (pk : PK) (sk : SK) (c : C) : Queries[ (TTransform pke).decrypt (pk, sk) c in runtime ] ≤ 1 := by cases hdec : pke.decrypt sk c with | none => exact HasQuery.usesAtMostQueries_of_usesExactlyQueries (decrypt_usesNoQueries_of_decrypt_eq_none runtime pke pk sk c hdec) (Nat.zero_le 1) | some msg => exact HasQuery.usesAtMostQueries_of_usesExactlyQueries (decrypt_usesExactlyOneQuery_of_decrypt_eq_some runtime pke pk sk c hdec) le_rfl- Project
- VCVio
- License
- Apache-2.0
- Commit
- 2ceb2d825ee3
- Source
- VCVio/CryptoFoundations/FujisakiOkamoto/TTransform.lean:222-233
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