Verify Matches Disjoint is complete
Cedar.Thm.verifyMatchesDisjoint_is_complete
Plain-language statement
The verifyMatchesDisjoint analysis is complete: if the assertions verifyMatchesDisjoint p₁ p₂ εnv are satisfiable for the policies p₁ and p₂ and the strongly well-formed symbolic environment εnv, then there exists a strongly well-formed concrete environment env ∈ᵢ εnv such that both policies match in env.
Exact Lean statement
theorem verifyMatchesDisjoint_is_complete {p₁ p₂ : Policy} {εnv : SymEnv} {asserts : Asserts} :
εnv.StronglyWellFormedForPolicy p₁ →
εnv.StronglyWellFormedForPolicy p₂ →
verifyMatchesDisjoint p₁ p₂ εnv = .ok asserts →
εnv ⊧ asserts →
∃ env,
env ∈ᵢ εnv ∧
env.StronglyWellFormedForPolicy p₁ ∧
env.StronglyWellFormedForPolicy p₂ ∧
Env.EnumCompleteFor env εnv ∧
evaluate p₁.toExpr env.request env.entities = .ok true ∧
evaluate p₂.toExpr env.request env.entities = .ok trueFormal artifact
Lean source
theorem verifyMatchesDisjoint_is_complete {p₁ p₂ : Policy} {εnv : SymEnv} {asserts : Asserts} : εnv.StronglyWellFormedForPolicy p₁ → εnv.StronglyWellFormedForPolicy p₂ → verifyMatchesDisjoint p₁ p₂ εnv = .ok asserts → εnv ⊧ asserts → ∃ env, env ∈ᵢ εnv ∧ env.StronglyWellFormedForPolicy p₁ ∧ env.StronglyWellFormedForPolicy p₂ ∧ Env.EnumCompleteFor env εnv ∧ evaluate p₁.toExpr env.request env.entities = .ok true ∧ evaluate p₂.toExpr env.request env.entities = .ok true:= by intro h₁ h₂ h₃ h₄ have ⟨env, h₅, h₆, h₇, h₈, h₉⟩ := verifyEvaluatePair_is_complete verifyMatchesDisjoint_wbepq h₁ h₂ h₃ h₄ exists env simp only [Bool.not_and, Bool.or_eq_false_iff, Bool.not_eq_eq_eq_not, Bool.not_false, beq_iff_eq] at h₉ simp [*]- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/Verification.lean:421-439
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