Project-declaredLean 4.32.0 · mathlib@81a5d257

Cma Sign Log Impl cma Sign Hash Query Bound

FiatShamir.Stateful.cmaSignLogImpl_cmaSignHashQueryBound

program verification separation logic cryptography bridge

Plain-language statement

Logging signing inputs while forwarding all queries preserves the joint signing/hash query bound.

Exact Lean statement

theorem cmaSignLogImpl_cmaSignHashQueryBound
    {α : Type}
    (A : OracleComp (cmaSpec M Commit Chal Resp Stmt) α)
    (signed : List M) (qS qH : ℕ)
    (hA : cmaSignHashQueryBound (M := M) (Commit := Commit) (Chal := Chal)
      (Resp := Resp) (Stmt := Stmt) A qS qH) :
    cmaSignHashQueryBound (M := M) (Commit := Commit) (Chal := Chal)
      (Resp := Resp) (Stmt := Stmt)
      ((simulateQ (cmaSignLogImpl (M := M) (Commit := Commit) (Chal := Chal)
        (Resp := Resp) (Stmt := Stmt)) A).run signed) qS qH

Formal artifact

Lean source

Canonical source

Full Lean sourceLean 4

theorem cmaSignLogImpl_cmaSignHashQueryBound    {α : Type}    (A : OracleComp (cmaSpec M Commit Chal Resp Stmt) α)    (signed : List M) (qS qH : ℕ)    (hA : cmaSignHashQueryBound (M := M) (Commit := Commit) (Chal := Chal)      (Resp := Resp) (Stmt := Stmt) A qS qH) :    cmaSignHashQueryBound (M := M) (Commit := Commit) (Chal := Chal)      (Resp := Resp) (Stmt := Stmt)      ((simulateQ (cmaSignLogImpl (M := M) (Commit := Commit) (Chal := Chal)        (Resp := Resp) (Stmt := Stmt)) A).run signed) qS qH := by  constructor  · exact OracleComp.IsQueryBoundP.simulateQ_run_StateT_of_step hA.1      (fun t s => by cases t <;> simp [cmaSignLogImpl, IsCostlyQuery]) signed  · exact OracleComp.IsQueryBoundP.simulateQ_run_StateT_of_step hA.2      (fun t s => by cases t <;> simp [cmaSignLogImpl, IsHashQuery]) signed

Project: VCVio
License: Apache-2.0
Commit: 2ceb2d825ee3
Source: VCVio/CryptoFoundations/FiatShamir/Sigma/Stateful/Bridge.lean:373-387

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