Model checking infinite-state Markov chains


Remke, Anne and Haverkort, Boudewijn R. and Cloth, Lucia (2004) Model checking infinite-state Markov chains. [Report]

Abstract:In this paper algorithms for model checking CSL (continuous stochastic logic) against infinite-state continuous-time Markov chains of so-called quasi birth-death type are developed. In doing so we extend the applicability of CSL model checking beyond the recently proposed case for finite-state continuous-time Markov chains, to an important class of infinite-state Markov chains. We present syntax and semantics for CSL and develop efficient model checking algorithms for the steady-state operator and the time-bounded next and until operator. For the former, we rely on the so-called matrix-geometric solution of the steady-state probabilities of the infinite-state Markov chain. For the time-bounded until operator we develop a new algorithm for the transient analysis of infinite-state Markov chains, thereby exploiting the quasi birth-death structure. A case study shows the feasibility of our approach.
Item Type:Report
Copyright:© 2004 CTIT
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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