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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Simulation Subsumption in Ramsey-Based Büchi Automata Universality and Inclusion Testing
verfasst von : Parosh Aziz Abdulla, Yu-Fang Chen, Lorenzo Clemente, Lukáš Holík, Chih-Duo Hong, Richard Mayr, Tomáš Vojnar
Erschienen in: Computer Aided Verification
Verlag: Springer Berlin Heidelberg
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There are two main classes of methods for checking universality and language inclusion of Büchi-automata: Rank-based methods and Ramsey-based methods. While rank-based methods have a better worst-case complexity, Ramsey-based methods have been shown to be quite competitive in practice [10,9]. It was shown in [10] (for universality checking) that a simple subsumption technique, which avoids exploration of certain cases, greatly improves the performance of the Ramsey-based method. Here, we present a much more general subsumption technique for the Ramsey-based method, which is based on using simulation preorder on the states of the Büchi-automata. This technique applies to both universality and inclusion checking, yielding a substantial performance gain over the previous simple subsumption approach of [10].