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arXiv · 1305.7332

Compositional Verification and Optimization of Interactive Markov Chains

Holger Hermanns·Jan Krčál·Jan Křetínský
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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.

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Holger Hermanns, Jan Krčál, Jan Křetínský. 2013-05-31. Compositional Verification and Optimization of Interactive Markov Chains. https://doi.org/10.1007/978-3-642-40184-8_26

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