Compositional verification and optimization of interactive markov chains

  • Authors:
  • Holger Hermanns;Jan Krčál;Jan Křetínský

  • Affiliations:
  • Computer Science, Saarland University, Saarbrücken, Germany;Faculty of Informatics, Masaryk University, Czech Republic;Faculty of Informatics, Masaryk University, Czech Republic,Institut für Informatik, Technical University Munich, Germany

  • Venue:
  • CONCUR'13 Proceedings of the 24th international conference on Concurrency Theory
  • Year:
  • 2013

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Abstract

Interactive Markov chains (IMC) are compositional behavioural models extending labelled transition systems and continuous-time Markov chains. We provide a framework and algorithms for compositional verification and optimization of IMC with respect to time-bounded properties. Firstly, we give a specification formalism for IMC. Secondly, given a time-bounded property, an IMC component and the assumption that its unknown environment satisfies a given specification, we synthesize a scheduler for the component optimizing the probability that the property is satisfied in any such environment.