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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2850))

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Abstract

Büchi automata (non-deterministic automata on infinite words with a simple acceptance condition) play a central rôle in model checking when properties are specified in temporal logic and state spaces are represented explicitly. Model checking then amounts to a graph search in a product of a transition system with a Büchi automaton that represents the specification. From a practical perspective it is therefore important to have procedures at hand which minimize the automata involved if possible. As computing–even approximating–minimum-state automata is PSPACE-hard, heuristics are applied. In the talk, a technique that is frequently used in current heuristics is presented: state-space reductions via simulation relations.

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© 2003 Springer-Verlag Berlin Heidelberg

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Wilke, T. (2003). Minimizing Automata on Infinite Words. In: Vardi, M.Y., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2003. Lecture Notes in Computer Science(), vol 2850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39813-4_20

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  • DOI: https://doi.org/10.1007/978-3-540-39813-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20101-4

  • Online ISBN: 978-3-540-39813-4

  • eBook Packages: Springer Book Archive

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