Project documentation
Let x be a Cedar expression and εnv a symbolic environment, where x and εnv are a well-formed input to the symbolic compiler, i.e., εnv.WellFormedFor x. Let t the outcome of compiling x to a Term with respect to εnv, and o a concrete outcome represented by t. Then, the completeness theorem says that there exists a concrete environment...
Exact Lean statement
theorem compile_is_complete {x : Expr} {εnv : SymEnv} {t : Term.Outcome εnv} {o : Outcome Value} :
εnv.WellFormedFor x →
compile x εnv = .ok t →
o ∈ₒ t →
∃ (env : Env),
env.WellFormedFor x ∧
env ∈ᵢ εnv ∧
evaluate x env.request env.entities ∼ oFormal artifact
Lean source
theorem compile_is_complete {x : Expr} {εnv : SymEnv} {t : Term.Outcome εnv} {o : Outcome Value} : εnv.WellFormedFor x → compile x εnv = .ok t → o ∈ₒ t → ∃ (env : Env), env.WellFormedFor x ∧ env ∈ᵢ εnv ∧ evaluate x env.request env.entities ∼ o:= by intros h₁ h₂ h₃ replace ⟨I, h₃, h₅⟩ := h₃ have ⟨env, h₆, h₇⟩ := exists_wf_env h₁ h₃ exists env simp only [h₇, true_and] constructor · exists I · have ⟨o', h₈, h₉⟩ := same_results_implies_exists_outcome (compile_bisimulation h₁ h₇ h₃ h₆ h₂) have h₁₀ := same_outcomes_implies_eq h₅ h₉ subst h₁₀ exact h₈- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/SymbolicCompilation.lean:99-118
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Person-level attribution pending.