Symbolic model checking for probabilistic processes

Symbolic model checking for probabilistic processes (1997)

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by Christel Baier , Edmund M. Clarke , Vasiliki Hartonas-garmhausen , Marta Kwiatkowska , Mark Ryan , Universität Mannheim

Venue:	In Proceedings of ICALP '97
Citations:	71 - 25 self

BibTeX

@INPROCEEDINGS{Baier97symbolicmodel,
    author = {Christel Baier and Edmund M. Clarke and Vasiliki Hartonas-garmhausen and Marta Kwiatkowska and Mark Ryan and Universität Mannheim},
    title = {Symbolic model checking for probabilistic processes},
    booktitle = {In Proceedings of ICALP '97},
    year = {1997},
    pages = {430--440},
    publisher = {SpringerVerlag}
}

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Abstract

Abstract. We introduce a symbolic model checking procedure for Probabilistic Computation Tree Logic PCTL over labelled Markov chains as models. Model checking for probabilistic logics typically involves solving linear equation systems in order to ascertain the probability of a given formula holding in a state. Our algorithm is based on the idea of representing the matrices used in the linear equation systems by Multi-Terminal Binary Decision Diagrams (MTBDDs) introduced in Clarke et al [14]. Our procedure, based on the algorithm used by Hansson and Jonsson [24], uses BDDs to represent formulas and MTBDDs to represent Markov chains, and is efficient because it avoids explicit state space construction. A PCTL model checker is being implemented in Verus [9]. 1

Citations

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