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Project-declaredLean 4.31.0 · null

Verify Matches Equivalent is ok and sound

Cedar.Thm.verifyMatchesEquivalent_is_ok_and_sound

Plain-language statement

Concrete version of verifyMatchesEquivalent_is_sound.

Exact Lean statement

theorem verifyMatchesEquivalent_is_ok_and_sound {p₁ p₁' p₂ p₂' : Policy} {Γ : TypeEnv} :
  Γ.WellFormed →
  wellTypedPolicy p₁ Γ = .ok p₁' →
  wellTypedPolicy p₂ Γ = .ok p₂' →
  ∃ asserts,
    verifyMatchesEquivalent p₁' p₂' (SymEnv.ofEnv Γ) = .ok asserts ∧
    (SymEnv.ofEnv Γ ⊭ asserts →
      ∀ env : Env,
        InstanceOfWellFormedEnvironment env.request env.entities Γ →
        env.StronglyWellFormedForPolicy p₁' →
        env.StronglyWellFormedForPolicy p₂' →
        (evaluate p₁.toExpr env.request env.entities = .ok (.prim (.bool true))) =
        (evaluate p₂.toExpr env.request env.entities = .ok (.prim (.bool true))))

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem verifyMatchesEquivalent_is_ok_and_sound {p₁ p₁' p₂ p₂' : Policy} {Γ : TypeEnv} :  Γ.WellFormed   wellTypedPolicy p₁ Γ = .ok p₁'   wellTypedPolicy p₂ Γ = .ok p₂'    asserts,    verifyMatchesEquivalent p₁' p₂' (SymEnv.ofEnv Γ) = .ok asserts     (SymEnv.ofEnv Γ ⊭ asserts        env : Env,        InstanceOfWellFormedEnvironment env.request env.entities Γ         env.StronglyWellFormedForPolicy p₁'         env.StronglyWellFormedForPolicy p₂'         (evaluate p₁.toExpr env.request env.entities = .ok (.prim (.bool true))) =        (evaluate p₂.toExpr env.request env.entities = .ok (.prim (.bool true)))):= by  intros hwf hwt₁ hwt₂  have hwf_εnv₁ := ofEnv_swf_for_policy hwf hwt₁  have hwf_εnv₂ := ofEnv_swf_for_policy hwf hwt₂  have asserts, hok := verifyMatchesEquivalent_is_ok hwf hwt₁ hwt₂  exists asserts  simp only [hok, true_and]  intros hunsat env hinst hwf_env₁ hwf_env₂  simp only [    wellTypedPolicy_preserves_evaluation hinst hwt₁,    wellTypedPolicy_preserves_evaluation hinst hwt₂,  ]  apply verifyMatchesEquivalent_is_sound hwf_εnv₁ hwf_εnv₂ hok hunsat env _ hwf_env₁ hwf_env₂  exact ofEnv_soundness hwf_env₁.1 hinst
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/WellTypedVerification.lean:194-220

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Project-declaredLean 4.31.0

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authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

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