Oracle Verifier coordinate Wise Special Sound
SendClaim.oracleVerifier_coordinateWiseSpecialSound
Project documentation
Coordinate-wise special soundness of SendClaim. The verifier is a pure pass-through with no challenge rounds, so CWSS collapses (via the oracle no-challenge bridge) to a transcript-level obligation. The extractor is trivial (e := fun _ _ => (), there is no witness); since the output oracle statements at inl are the input oracles unchanged and `t...
Exact Lean statement
theorem oracleVerifier_coordinateWiseSpecialSound (D : CWSSStructure (pSpec Message)) :
(oracleVerifier oSpec Statement OStatement Message).coordinateWiseSpecialSound init impl D
relIn (toORelOut relIn P)Formal artifact
Lean source
theorem oracleVerifier_coordinateWiseSpecialSound (D : CWSSStructure (pSpec Message)) : (oracleVerifier oSpec Statement OStatement Message).coordinateWiseSpecialSound init impl D relIn (toORelOut relIn P) := by refine OracleVerifier.coordinateWiseSpecialSound_of_isEmpty_challengeIdx init impl D (oracleVerifier oSpec Statement OStatement Message) relIn (toORelOut relIn P) (fun _ _ => ()) ?_ rintro ⟨stmt, oStmt⟩ tr hAcc have hmem := Verifier.mem_of_pure_accepting init impl (oracleVerifier oSpec Statement OStatement Message).toVerifier ⟨stmt, oStmt⟩ tr (toORelOut relIn P).language _ (oracleVerifier_toVerifier_run (oSpec := oSpec)) hAcc obtain ⟨_, hu⟩ := (Set.mem_language_iff _ _).1 hmem exact hu.1- Project
- ArkLib
- License
- Apache-2.0
- Commit
- fad5cbf80877
- Source
- ArkLib/ProofSystem/Component/SendClaim.lean:151-162
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