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Project-declaredLean 4.31.0 · null

Is Authorized is sound

Cedar.Thm.isAuthorized_is_sound

Plain-language statement

Let ps be Cedar policies, env a concrete evaluation environment (request and entities), εnv a symbolic environment, and t the term resulting from symbolically authorizing ps with respect to εnv, i.e., SymCC.isAuthorized ps εnv = .ok t. Let ps and env be a well-formed input to the concrete authorizer, i.e., env.WellFormedForPolicies ps....

Exact Lean statement

theorem isAuthorized_is_sound  {ps : Policies} {env : Env} {εnv : SymEnv} {t : Term.Outcome εnv} :
  εnv.WellFormedForPolicies ps →
  env.WellFormedForPolicies ps →
  env ∈ᵢ εnv →
  SymCC.isAuthorized ps εnv = .ok t →
  ∃ (decision : Spec.Decision),
    decision ∈ₒ t ∧
    Spec.isAuthorized env.request env.entities ps ∼ decision

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem isAuthorized_is_sound  {ps : Policies} {env : Env} {εnv : SymEnv} {t : Term.Outcome εnv} :  εnv.WellFormedForPolicies ps   env.WellFormedForPolicies ps   env ᵢ εnv   SymCC.isAuthorized ps εnv = .ok t    (decision : Spec.Decision),    decision ₒ t     Spec.isAuthorized env.request env.entities ps ∼ decision:= by  intro hεnv henv hinᵢ hok  replace I, hI, hinᵢ := hinᵢ  have heq := isAuthorized_bisimulation hεnv henv hI hinᵢ hok  exists (Spec.isAuthorized env.request env.entities ps).decision  simp only [same_responses_self_decision, and_true]  exists I
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/SymbolicCompilation.lean:155-169

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Project-declaredLean 4.31.0

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Person-level attribution pending.

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Project-declaredLean 4.31.0

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Person-level attribution pending.

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Plain-language statement

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Source project: Cedar Specification

Person-level attribution pending.

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