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Project-declaredLean 4.31.0 · null

Verify Matches Implies is sound

Cedar.Thm.verifyMatchesImplies_is_sound

Plain-language statement

The verifyMatchesImplies analysis is sound: if the assertions verifyMatchesImplies p₁ p₂ εnv are unsatisfiable for the policies p₁ and p₂ and the strongly well-formed symbolic environment εnv, then if p₁ matches in any strongly well-formed concrete environment env ∈ᵢ εnv, then p₂ also matches.

Exact Lean statement

theorem verifyMatchesImplies_is_sound {p₁ p₂ : Policy} {εnv : SymEnv} {asserts : Asserts} :
  εnv.StronglyWellFormedForPolicy p₁ →
  εnv.StronglyWellFormedForPolicy p₂ →
  verifyMatchesImplies p₁ p₂ εnv = .ok asserts →
  εnv ⊭ asserts →
  ∀ env,
    env ∈ᵢ εnv →
    env.StronglyWellFormedForPolicy p₁ →
    env.StronglyWellFormedForPolicy p₂ →
    evaluate p₁.toExpr env.request env.entities = .ok true →
    evaluate p₂.toExpr env.request env.entities = .ok true

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem verifyMatchesImplies_is_sound {p₁ p₂ : Policy} {εnv : SymEnv} {asserts : Asserts} :  εnv.StronglyWellFormedForPolicy p₁   εnv.StronglyWellFormedForPolicy p₂   verifyMatchesImplies p₁ p₂ εnv = .ok asserts   εnv ⊭ asserts    env,    env ᵢ εnv     env.StronglyWellFormedForPolicy p₁     env.StronglyWellFormedForPolicy p₂     evaluate p₁.toExpr env.request env.entities = .ok true     evaluate p₂.toExpr env.request env.entities = .ok true:= by  intro h₁ h₂ h₃ h₄ env h₅ h₆ h₇ h₈  have := verifyEvaluatePair_is_sound verifyMatchesImplies_wbepq h₁ h₂ h₃ h₄ env h₅ h₆ h₇  simp only [Bool.or_eq_true, bne_iff_ne, ne_eq, beq_iff_eq] at this  cases this with  | inl h => contradiction  | inr h => exact h
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/Verification.lean:343-360

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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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