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A note on Coinduction and Weak Bisimilarity for While Programs

Published online by Cambridge University Press:  15 August 2002

J. J.M.M. Rutten
J. J.M.M. Rutten*
Affiliation:
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands; janr@cwi.nl. URL: www.cwi.nl/~janr
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Abstract

An illustration of coinduction in terms of a notion of weak bisimilarity is presented. First, an operational semantics $\mbox{${\cal 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 $\mbox{${\cal D}$}$. Next $\mbox{${\cal O}$}= \mbox{${\cal D}$}$ is proved by coinduction.

Keywords

Coalgebraautomatonweak bisimulationcoinductionwhile program.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 4-5 , July 1999 , pp. 393 - 400
Copyright
© EDP Sciences, 1999

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References

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