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Improvements in BDD-Based Reachability Analysis of Timed Automata

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FME 2001: Formal Methods for Increasing Software Productivity (FME 2001)

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Abstract

To develop efficient algorithms for the reachability analysis of timed automata, a promising approach is to use binary decision diagrams (BDDs) as data structure for the representation of the explored state space. The size of a BDD is very sensitive to the ordering of the variables. We use the communication structure to deduce an estimation for the BDD size. In our experiments, this guides the choice of good variable orderings, which leads to an efficient reachability analysis. We develop a discrete semantics for closed timed automata to get a finite state space required by the BDD-based representation and we prove the equivalence to the continuous semantics regarding the set of reachable locations. An upper bound for the size of the BDD representing the transition relation and an estimation for the set of reachable configurations based on the communication structure is given. We implemented these concepts in the verification tool Rabbit [BR00]. Different case studies justify our conjecture: Polynomial reachability analysis seems to be possible for some classes of real-time models, which have a good-natured communication structure.

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Authors and Affiliations

  1. Software Systems Engineering Research Group, Technical University Cottbus, D-03013 Cottbus, Postfach 10 13 44, Germany

    Dirk Beyer

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  1. Dirk Beyer
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Editor information

Editors and Affiliations

  1. Computer Science Department, University of Minho, Campus de Gualtar, 4700-320, Braga, Portugal

    José Nuno Oliveira

  2. AT&T Laboratories — Research, 180 Park Avenue, Florham Park, New Jersey, 07932, USA

    Pamela Zave

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© 2001 Springer-Verlag Berlin Heidelberg

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Beyer, D. (2001). Improvements in BDD-Based Reachability Analysis of Timed Automata. In: Oliveira, J.N., Zave, P. (eds) FME 2001: Formal Methods for Increasing Software Productivity. FME 2001. Lecture Notes in Computer Science, vol 2021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45251-6_18

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  • DOI: https://doi.org/10.1007/3-540-45251-6_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41791-0

  • Online ISBN: 978-3-540-45251-5

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