## A note on coinduction and weak bisimiliarity for while programs.(English)Zbl 0945.68073

Summary: An illustration of coinduction in terms of a notion of weak bisimilarity is presented. First, an operational semantics $${\mathcal O}$$ for while programs is defined in terms of a final automaton. It identifies any two programs that are weakly bisimilar, and induces in a canonical manner a compositional model $${\mathcal D}$$. Next, $${\mathcal O}= {\mathcal D}$$ is proved by coinduction.

### MSC:

 68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) 68Q55 Semantics in the theory of computing

### Keywords:

weak bisimilarity
Full Text:

### References:

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