Verify Always Denies is complete
Cedar.Thm.verifyAlwaysDenies_is_complete
Plain-language statement
The verifyAlwaysDenies analysis is sound: if the assertions verifyAlwaysDenies ps₁ εnv are satisfiable for the policies ps₁ and the strongly well-formed symbolic environment εnv, then there exists a strongly well-formed concrete environment env ∈ᵢ εnv such that the authorizer will not return deny when applied to ps₁ and env.
Exact Lean statement
theorem verifyAlwaysDenies_is_complete {ps₁ : Policies} {εnv : SymEnv} {asserts : Asserts} :
εnv.StronglyWellFormedForPolicies ps₁ →
verifyAlwaysDenies ps₁ εnv = .ok asserts →
εnv ⊧ asserts →
∃ env,
env ∈ᵢ εnv ∧
env.StronglyWellFormedForPolicies ps₁ ∧
Env.EnumCompleteFor env εnv ∧
¬ denies (Spec.isAuthorized env.request env.entities ps₁)Formal artifact
Lean source
theorem verifyAlwaysDenies_is_complete {ps₁ : Policies} {εnv : SymEnv} {asserts : Asserts} : εnv.StronglyWellFormedForPolicies ps₁ → verifyAlwaysDenies ps₁ εnv = .ok asserts → εnv ⊧ asserts → ∃ env, env ∈ᵢ εnv ∧ env.StronglyWellFormedForPolicies ps₁ ∧ Env.EnumCompleteFor env εnv ∧ ¬ denies (Spec.isAuthorized env.request env.entities ps₁):= by intro hwε₁ hvc hsat unfold verifyAlwaysDenies at hvc have ⟨env, h⟩ := verifyIsAuthorized_is_complete verifyImplies_wbaq hwε₁ (swf_εnv_for_empty_policies hwε₁.left) hvc hsat exists env rw [denies_eq_implies_false _ env] simp [h]- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/Verification.lean:611-627
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