Approximate symbolic model checking of continous-time Markov chains


Baier, Christel and Katoen, Joost-Pieter and Hermanns, Holger (1999) Approximate symbolic model checking of continous-time Markov chains. In: 10th International Conference on Concurrency Theory, CONCUR '99, August 24-27, 1999, Eindhoven, The Netherlands (pp. pp. 146-162).

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Abstract:This paper presents a symbolic model checking algorithm for continuous-time Markov chains for an extension of the continuous stochastic logic CSL of Aziz et al. [1] The considered logic contains a time-bounded until-operator and a novel operator to express steady-state probabilities. We show that the model checking problem for this logic reduces to a system of linear equations (for unbounded until and the steady state-operator) and a Volterra integral equation system for time-bounded until. We propose a symbolic approximate method for solving the integrals using MTDDs (multi-terminal decision diagrams), a generalisation of MTBDDs. These new structures are suitable for numerical integration using quadrature formulas based on equally-spaced abscissas, like trapezoidal, Simpson and Romberg integration schemes.
Item Type:Conference or Workshop Item
Copyright:© 1999 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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