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Approximate Bisimilarity

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1816))

Abstract

We introduce a notion of approximate bisimilarity in order to be able to reason about the approximate equivalence of processes. Approximate bisimilarity is based on the notion of bisimulation index for labelled transition systems. We establish some basic properties of bisimulation indexes and give a Hennessy-Milner logical characterization of approximate bisimilarity. As an application we show how to describe approximate correctness of real time systems by giving an example in real time ACP.

The first author was supported by the National Foundation for Distinguished Young Scholars (Grant No: 69725004), Research and Development Project of High-Technology (Grant No: 863-306-ZT06-04-3) and Foundation of Natural Sciences (Grant No: 69823001) of China and Fok Ying-Tung Education Foundation, and this work was carried out when the first author was at Institut für Informatik, Ludwig-Maximilians-Universtät München as an Alexander von Humboldt research fellow.

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© 2000 Springer-Verlag Berlin Heidelberg

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Ying, M., Wirsing, M. (2000). Approximate Bisimilarity. In: Rus, T. (eds) Algebraic Methodology and Software Technology. AMAST 2000. Lecture Notes in Computer Science, vol 1816. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45499-3_23

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  • DOI: https://doi.org/10.1007/3-540-45499-3_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67530-3

  • Online ISBN: 978-3-540-45499-1

  • eBook Packages: Springer Book Archive

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