Norm Functions for Probabilistic Bisimulations with Delays

  • Authors:
  • Christel Baier;Mariëlle Stoelinga

  • Affiliations:
  • -;-

  • Venue:
  • FOSSACS '00 Proceedings of the Third International Conference on Foundations of Software Science and Computation Structures: Held as Part of the Joint European Conferences on Theory and Practice of Software,ETAPS 2000
  • Year:
  • 2000

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Abstract

We consider action-labelled systems with nondeterministic and probabilistic choice. Using the concept of norm functions [17], we introduce two types of bisimulations (called (strict) normed bisimulation equivalence) that allow for delays when simulating a transition and are strictly between strong and weak bisimulation equivalence à la [26,36,37]. Using a suitable modification of the prominent splitter/partitioning technique [25,30], we present polynomial-time algorithms that constructs the quotient space of the (strict) normed bisimulation equivalence classes.