Simulation for Continuous-Time Markov Chains

  • Authors:
  • Christel Baier;Joost-Pieter Katoen;Holger Hermanns;Boudewijn R. Haverkort

  • Affiliations:
  • -;-;-;-

  • Venue:
  • CONCUR '02 Proceedings of the 13th International Conference on Concurrency Theory
  • Year:
  • 2002

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Abstract

This paper presents a simulation preorder for continuoustime Markov chains (CTMCs). The simulation preorder is a conservative extension of a weak variant of probabilistic simulation on fully probabilistic systems, i.e., discrete-time Markov chains. The main result of the paper is that the simulation preorder preserves safety and liveness properties expressed in continuous stochastic logic (CSL), a stochastic branching-time temporal logic interpreted over CTMCs.