Project documentation
The lemma shows that the symbolic compiler (compile) behaves like the concrete evaluator (evaluate) on literal inputs. In particular, let x be an expression, εnv a well-formed symbolic environment for x, and env a well-formed concrete environment for x that is equivalent to εnv. Then, the result produced by the symbolic compiler on x and...
Exact Lean statement
theorem compile_evaluate {x : Expr} {env : Env} {εnv : SymEnv} {t : Term} :
env ∼ εnv →
env.WellFormedFor x →
εnv.WellFormedFor x →
compile x εnv = .ok t →
evaluate x env.request env.entities ∼ tFormal artifact
Lean source
theorem compile_evaluate {x : Expr} {env : Env} {εnv : SymEnv} {t : Term} : env ∼ εnv → env.WellFormedFor x → εnv.WellFormedFor x → compile x εnv = .ok t → evaluate x env.request env.entities ∼ t:= by intros h₁ h₂ h₃ h₄ match x with | .lit _ => exact compile_evaluate_lit h₄ | .var _ => exact compile_evaluate_var h₁ h₄ | .ite x₁ x₂ x₃ => have ih₁ := @compile_evaluate x₁ have ih₂ := @compile_evaluate x₂ have ih₃ := @compile_evaluate x₃ exact compile_evaluate_ite h₁ h₂ h₃ h₄ ih₁ ih₂ ih₃ | .and x₁ x₂ => have ih₁ := @compile_evaluate x₁ have ih₂ := @compile_evaluate x₂ exact compile_evaluate_and h₁ h₂ h₃ h₄ ih₁ ih₂ | .or x₁ x₂ => have ih₁ := @compile_evaluate x₁ have ih₂ := @compile_evaluate x₂ exact compile_evaluate_or h₁ h₂ h₃ h₄ ih₁ ih₂ | .unaryApp _ x₁ => have ih₁ := @compile_evaluate x₁ exact compile_evaluate_unaryApp h₁ h₂ h₃ h₄ ih₁ | .binaryApp _ x₁ x₂ => have ih₁ := @compile_evaluate x₁ have ih₂ := @compile_evaluate x₂ exact compile_evaluate_binaryApp h₁ h₂ h₃ h₄ ih₁ ih₂ | .getAttr x₁ _ => have ih₁ := @compile_evaluate x₁ exact compile_evaluate_getAttr h₁ h₂ h₃ h₄ ih₁ | .hasAttr x₁ _ => have ih₁ := @compile_evaluate x₁ exact compile_evaluate_hasAttr h₁ h₂ h₃ h₄ ih₁ | .set xs => have ih : ∀ xᵢ ∈ xs, CompileEvaluate xᵢ := by intro xᵢ _ exact @compile_evaluate xᵢ exact compile_evaluate_set h₁ h₂ h₃ h₄ ih | .record axs => have ih : ∀ aᵢ xᵢ, (aᵢ, xᵢ) ∈ axs → CompileEvaluate xᵢ := by intro aᵢ xᵢ h have _ : sizeOf xᵢ < 1 + sizeOf axs := List.sizeOf_snd_lt_sizeOf_list h exact @compile_evaluate xᵢ exact compile_evaluate_record h₁ h₂ h₃ h₄ ih | .call _ xs => have ih : ∀ xᵢ ∈ xs, CompileEvaluate xᵢ := by intro xᵢ _ exact @compile_evaluate xᵢ exact compile_evaluate_call h₁ h₂ h₃ h₄ ih- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/SymCC/Compiler.lean:47-99
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