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Erschienen in:
2010 | OriginalPaper | Buchkapitel
When Simulation Meets Antichains
(On Checking Language Inclusion of Nondeterministic Finite (Tree) Automata)
verfasst von : Parosh Aziz Abdulla, Yu-Fang Chen, Lukáš Holík, Richard Mayr, Tomáš Vojnar
Erschienen in: Tools and Algorithms for the Construction and Analysis of Systems
Verlag: Springer Berlin Heidelberg
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We describe a new and more efficient algorithm for checking universality and language inclusion on nondeterministic finite word automata (NFA) and tree automata (TA). To the best of our knowledge, the antichain-based approach proposed by De Wulf et al. was the most efficient one so far. Our idea is to exploit a simulation relation on the states of finite automata to accelerate the antichain-based algorithms. Normally, a simulation relation can be obtained fairly efficiently, and it can help the antichain-based approach to prune out a large portion of unnecessary search paths. We evaluate the performance of our new method on NFA/TA obtained from random regular expressions and from the intermediate steps of regular model checking. The results show that our approach significantly outperforms the previous antichain-based approach in most of the experiments.