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Well-Behaved (Co)algebraic Semantics of Regular Expressions in Dafny #23

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stefan-aws committed Jan 3, 2024
commit 06294c17f0972115aed6f59b1f1e6ece9b632d59
Original file line number Diff line number Diff line change
Expand Up @@ -122,7 +122,7 @@ predicate Bisimilar#<A(!new)>[k: nat](L1: Lang, L2: Lang)
Now that we have its definition in place, let us establish a property about bisimilarity, say, that it is a [*reflexive*](https://en.wikipedia.org/wiki/Reflexive_relation) relation. With the [`greatest lemma`](https://dafny.org/latest/DafnyRef/DafnyRef#sec-colemmas) construct, Dafny is able to able to derive a proof completely on its own:

```
greatest lemma BisimilarityIsReflexive<A>[nat](L: Lang)
greatest lemma BisimilarityIsReflexive<A(!new)>[nat](L: Lang)
ensures Bisimilar(L, L)
{}
```
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2 changes: 1 addition & 1 deletion assets/src/semantics-of-regular-expressions/Languages.dfy
Original file line number Diff line number Diff line change
Expand Up @@ -37,7 +37,7 @@ module Languages {

/* Bisimilarity */

greatest lemma BisimilarityIsReflexive<A>[nat](L: Lang)
greatest lemma BisimilarityIsReflexive<A(!new)>[nat](L: Lang)
ensures Bisimilar(L, L)
{}

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