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When Simulation Meets Antichains

(On Checking Language Inclusion of Nondeterministic Finite (Tree) Automata)
  • Parosh Aziz Abdulla
  • Yu-Fang Chen
  • Lukáš Holík
  • Richard Mayr
  • Tomáš Vojnar
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6015)

Abstract

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.

Keywords

Tree Automaton Simulation Relation Maximal Simulation Product Automaton Nondeterministic Finite Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Parosh Aziz Abdulla
    • 1
  • Yu-Fang Chen
    • 1
  • Lukáš Holík
    • 2
  • Richard Mayr
    • 3
  • Tomáš Vojnar
    • 2
  1. 1.Uppsala University 
  2. 2.Brno University of Technology 
  3. 3.University of Edinburgh 

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