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Probabilistic Bisimulation and Simulation Algorithms by Abstract Interpretation

  • Silvia Crafa
  • Francesco Ranzato
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6756)

Abstract

We show how bisimulation equivalence and simulation preorder on probabilistic LTSs (PLTSs), namely the main behavioural relations on probabilistic nondeterministic processes, can be characterized by abstract interpretation. Both bisimulation and simulation can be obtained as completions of partitions and preorders, viewed as abstract domains, w.r.t. a pair of concrete functions that encode a PLTS. As a consequence, this approach provides a general framework for designing algorithms for computing bisimulation and simulation on PLTSs. Notably, (i) we show that the standard bisimulation algorithm by Baier et al. can be viewed as an instance of such a framework and (ii) we design a new efficient simulation algorithm that improves the state of the art.

Keywords

Simulation Algorithm Abstract Interpretation Probabilistic Process Abstract Domain Complete Shell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Silvia Crafa
    • 1
  • Francesco Ranzato
    • 1
  1. 1.University of PadovaItaly

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