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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; [email protected]. 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

Bloom, S.L. and Ésik, Z., The equational logic of fixed points. Theoret. Comput. Sci. 179 (1997) 1-60. CrossRef
J.W. de Bakker, Mathematical theory of program correctness. Prentice-Hall International (1980).
C.C. Elgot, Monadic computation and iterative algebraic theories, H.E. Rose and J.C. Shepherdson, Eds., Logic Colloquium '73. North-Holland, Stud. Log. Found. Math. 80 (1975) 175-230.
R. Milner, Communication and Concurrency. Prentice Hall International, New York, Prentice Hall Internat. Ser. Comput. Sci. (1989).
J.J.M.M. Rutten, Universal coalgebra: A theory of systems. Report CS-R9652, CWI, 1996. FTP-available at ftp.cwi.nl as pub/CWIreports/AP/CS-R9652.ps.Z. Theoret. Comput. Sci., to appear.
Rutten, J.J.M.M., Automata and coinduction (an exercise in coalgebra). Report SEN-R9803, CWI, 1998. FTP-available at ftp.cwi.nl as pub/CWIreports/SEN/SEN-R9803.ps.Z. Also in the proceedings of CONCUR '98, Lecture Notes in Comput. Sci. 1466 (1998) 194-218. CrossRef