Faster and symbolic CTMC model checking

Katoen, J.P., Kwiatkowska, M., Norman, G. and Parker, D. (2001) Faster and symbolic CTMC model checking. In: de Alfaro, L. and Gilmore, S. (eds.) Process Algebra and Probabilistic Methods : Performance Modeling and Verification : Joint International Workshop. Series: Lecture notes in computer science (2165). Springer-Verlag: Berlin; New York, pp. 23-38. ISBN 9783540425564 (doi:10.1007/3-540-44804-7_2)

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Abstract

This paper reports on the implementation and the experiments with symbolic model checking of continuous-time Markov chains using multi-terminal binary decision diagrams (MTBDDs). Properties are expressed in Continuous Stochastic Logic (CSL) [7] which includes the means to express both transient and steady-state performance measures. We show that all CSL operators can be treated using standard operations on MTBDDs, thus allowing a rather straightforward implementation of symbolic CSL model checking on existing MTBDD-based platforms such as the verifier PRISM. The main result of the paper is an improvement of O(N) in the time complexity of checking time-bounded until-formulas, where N is the number of states in the CTMC under consideration. This result yields a drastic speed-up in the verification time of model checking CTMCs, both in the symbolic and non-symbolic case.

Item Type:Book Sections
Status:Published
Glasgow Author(s) Enlighten ID:Norman, Dr Gethin
Authors: Katoen, J.P., Kwiatkowska, M., Norman, G., and Parker, D.
College/School:College of Science and Engineering > School of Computing Science
Publisher:Springer-Verlag
ISBN:9783540425564

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