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Project-declaredLean 4.31.0 · null

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 true

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
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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