Result Details
Simulation Subsumption in Ramsey-based Büchi Automata Universality and Inclusion Testing
Vojnar Tomáš, prof. Ing., Ph.D., DITS (FIT)
Chen Yu-Fang
Mayr Richard
Hong Chih-Duo
Abdulla Parosh
Clemente Lorenzo
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. Previously, it was also shown (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 previously known simple subsumption approach.
Büchi automata, universality, language inclusion, Ramsey-based methods, simulation subsumption
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. Previously, it was also shown (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 previously known simple subsumption approach.
@misc{BUT192678,
author="Lukáš {Holík} and Tomáš {Vojnar} and Yu-Fang {Chen} and Richard {Mayr} and Chih-Duo {Hong} and Parosh {Abdulla} and Lorenzo {Clemente}",
title="Simulation Subsumption in Ramsey-based Büchi Automata Universality and Inclusion Testing",
year="2010",
pages="30",
publisher="Faculty of Information Technology BUT",
address="FIT-TR-2010-02, Brno",
url="http://www.fit.vutbr.cz/~holik/pub/FIT-TR-2010-002.pdf"
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