Public Unforgeable Advantage eq stateful Post Keygen Fresh Advantage
FiatShamir.Stateful.publicUnforgeableAdvantage_eq_statefulPostKeygenFreshAdvantage
Plain-language statement
Public EUF-CMA advantage in the shared fixed-key post-keygen normal form.
Exact Lean statement
theorem publicUnforgeableAdvantage_eq_statefulPostKeygenFreshAdvantage
(adv : SourceAdv (σ := σ) (hr := hr) (M := M)) :
publicUnforgeableAdvantage σ hr M adv =
statefulPostKeygenFreshAdvantage σ hr M advFormal artifact
Lean source
theorem publicUnforgeableAdvantage_eq_statefulPostKeygenFreshAdvantage (adv : SourceAdv (σ := σ) (hr := hr) (M := M)) : publicUnforgeableAdvantage σ hr M adv = statefulPostKeygenFreshAdvantage σ hr M adv := by unfold publicUnforgeableAdvantage SignatureAlg.unforgeableAdv.advantage statefulPostKeygenFreshAdvantage rw [unforgeableExp_eq_runtime_bind_postKeygenFreshWriterComp (σ := σ) (hr := hr) (M := M) (Commit := Commit) (Chal := Chal) (Resp := Resp) adv, _root_.FiatShamir.runtime_evalDist_bind_liftComp (M := M) (oa := (hr.gen : ProbComp (Stmt × Wit))) (rest := fun ps => postKeygenFreshWriterComp (σ := σ) (hr := hr) (M := M) (Commit := Commit) (Chal := Chal) (Resp := Resp) adv ps.1 ps.2)] change Pr[= true | (𝒟[(hr.gen : ProbComp (Stmt × Wit))] >>= fun ps => (_root_.FiatShamir.runtime M).evalDist (postKeygenFreshWriterComp (σ := σ) (hr := hr) (M := M) (Commit := Commit) (Chal := Chal) (Resp := Resp) adv ps.1 ps.2))] = Pr[= true | 𝒟[(((hr.gen : ProbComp (Stmt × Wit)) >>= fun ps => postKeygenFreshProb (σ := σ) (hr := hr) (M := M) (Commit := Commit) (Chal := Chal) (Resp := Resp) adv ps.1 ps.2) : ProbComp Bool)]] rw [evalDist_bind] apply congrArg (fun p => Pr[= true | p]) refine bind_congr fun ps => ?_ rw [runtime_evalDist_postKeygenFreshWriterComp_eq (σ := σ) (hr := hr) (M := M) (Commit := Commit) (Chal := Chal) (Resp := Resp) adv ps.1 ps.2]- Project
- VCVio
- License
- Apache-2.0
- Commit
- 2ceb2d825ee3
- Source
- VCVio/CryptoFoundations/FiatShamir/Sigma/Stateful/Compatibility.lean:988-1014
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Person-level attribution pending.