On Compositionality, Efficiency, and Applicability of Abstraction in Probabilistic Systems

  • Authors:
  • Suzana Andova;Sonja Georgievska

  • Affiliations:
  • Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB

  • Venue:
  • SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
  • Year:
  • 2009

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Abstract

A branching bisimulation for probabilistic systems that is preserved under parallel composition has been defined recently for the alternating model. We show that besides being compositional, it is decidable in polynomial time and it preserves the properties expressible in probabilistic Computation Tree Logic (pCTL). In the ground-complete axiomatization, only a single axiom is added to the axioms for strong bisimulation. We show that the Concurrent Alternating Bit protocol can be verified using the process algebra and a set of recursive rules.