Minimization Algorithm for Symbolic Bisimilarity

  • Authors:
  • Filippo Bonchi;Ugo Montanari

  • Affiliations:
  • Dipartimento di Informatica, Università di Pisa, and Centrum voor Wiskunde en Informatica (CWI),;Dipartimento di Informatica, Università di Pisa,

  • Venue:
  • ESOP '09 Proceedings of the 18th European Symposium on Programming Languages and Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009
  • Year:
  • 2009

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Abstract

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics is defined in terms of bisimilarity that, in the finite case, can be computed via the well-known partition refinement algorithm . However, the behaviour of interactive systems is in many cases infinite and thus checking bisimilarity in this way is unfeasible. Symbolic semantics allows to define smaller, possibly finite, transition systems, by employing symbolic actions and avoiding some sources of infiniteness. Unfortunately, the standard partition refinement algorithm does not work with symbolic bisimilarity.