Simulation for interactive markov chains

  • Authors:
  • Xiying Zhao;Lian Li;Jinzhao Wu

  • Affiliations:
  • The Information Engineering College of Lanzhou University, Lanzhou, China;The Information Engineering College of Lanzhou University, Lanzhou, China;The Information Engineering College of Lanzhou University, Lanzhou, China

  • Venue:
  • ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
  • Year:
  • 2006

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Abstract

Interactive Markov chains (IMCs) are compositional performance evaluation models which can be used to powerfully model concurrent systems. Simulations that are abstracted from internal computation have been proven to be useful for verification of compositely defined transition system. In the literature of stochastic extension of this transition system, computing simulation preorders are rare. In this paper strong(weak) simulation is introduced for IMCs. The main result of the paper is that we give algorithms to decide strong(weak) simulation preorder for IMCs with a polynomial-time complexity in the number of states of the transition system.