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Revising for tomorrow's lecture

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Adam Chlipala 2022-03-06 14:10:06 -05:00
parent 52e47df705
commit eb53c0d714
1 changed files with 8 additions and 8 deletions
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14
CompilerCorrectness.v
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@ -110,7 +110,7 @@ Inductive cstep : valuation * cmd -> option nat -> valuation * cmd -> Prop :=
(* To characterize correct compilation, it is helpful to define a relation to (* To characterize correct compilation, it is helpful to define a relation to
* capture which output _traces_ a command might generate. Note that, for us, a * capture which output _traces_ a command might generate. Note that, for us, a
* trace is a list of output values and/or terminating markers. We drop silent * trace is a list of output values and/or termination markers. We drop silent
* labels as we run, and we use [Some n] for outputting of [n] and [None] for * labels as we run, and we use [Some n] for outputting of [n] and [None] for
* termination. *) * termination. *)
Inductive generate : valuation * cmd -> list (option nat) -> Prop := Inductive generate : valuation * cmd -> list (option nat) -> Prop :=
@ -463,7 +463,7 @@ Section simulation.
unfold traceInclusion; eauto using simulation_bwd'. unfold traceInclusion; eauto using simulation_bwd'.
Qed. Qed.
(* Put them together and we have trace equivalence. *) (* Put them together, and we have trace equivalence. *)
Theorem simulation : forall vc1 vc2, R vc1 vc2 Theorem simulation : forall vc1 vc2, R vc1 vc2
-> vc1 =| vc2. -> vc1 =| vc2.
@ -1053,11 +1053,11 @@ Fixpoint flatten (c : cmd) : cmd :=
(* Here's what it does on our example. *) (* Here's what it does on our example. *)
Compute flatten month_boundaries_in_days. Compute flatten month_boundaries_in_days.
(* The alert reader may noticed that, yet again, we picked a transformation that (* The alert reader may have noticed that, yet again, we picked a transformation
* our existing simulation relations can't handle directly, at least if we put * that our existing simulation relations can't handle directly, at least if we
* the original system on the left and the compiled version on the right. Now * put the original system on the left and the compiled version on the right.
* we need a single step on the left to be matched by _one or more_ steps on the * Now we need a single step on the left to be matched by _one or more_ steps on
* right. *) * the right. *)
Section simulation_multiple. Section simulation_multiple.
(* At least we can remove that pesky numeric parameter of [R]. *) (* At least we can remove that pesky numeric parameter of [R]. *)
Variable R : valuation * cmd -> valuation * cmd -> Prop. Variable R : valuation * cmd -> valuation * cmd -> Prop.