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Behavioural equivalence, bisimulation, and minimal realisation

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Book cover Recent Trends in Data Type Specification (ADT 1995, COMPASS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1130))

Abstract

This paper examines three important topics in computer science: behavioural equivalence, bisimulation, and minimal realisation of automata, and discusses the relationships that hold between them. Central to all three topics is a notion of equivalence of behaviour, and by taking a coalgebraic approach to algebraic specifications we show that bisimulation is ‘the same as’ behavioural equivalence. Moreover, we show that a particular construction for minimal realisation of behaviour corresponds to a proof technique for proving behavioural equivalence. We also argue that it is useful to consider algebraic specifications of objects as having both algebraic and coalgebraic aspects.

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  1. Oxford University Computing Laboratory, Wolfson Building, Parks Road, OX1 3QD, Oxford, UK

    Grant Malcolm

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  1. Grant Malcolm
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Magne Haveraaen Olaf Owe Ole-Johan Dahl

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© 1996 Springer-Verlag Berlin Heidelberg

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Malcolm, G. (1996). Behavioural equivalence, bisimulation, and minimal realisation. In: Haveraaen, M., Owe, O., Dahl, OJ. (eds) Recent Trends in Data Type Specification. ADT COMPASS 1995 1995. Lecture Notes in Computer Science, vol 1130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61629-2_53

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  • DOI: https://doi.org/10.1007/3-540-61629-2_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61629-0

  • Online ISBN: 978-3-540-70642-7

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