Language containment checking with nondeterministic BDDs

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Abstract

Checking for language containment between nondeterministic Ω-automata is a central task in automata-based hierarchical verification. We present a symbolic procedure for language containment checking between two Buchi automata. Our algorithm avoids determinization by intersecting the implementation automaton with the complement of the specification automaton as an alternating automaton. We present a fix-point algorithm for the emptiness check of alternating automata. The main data structure is a nondeterministic extension of binary decision diagrams that canonically represents sets of Boolean functions. © Springer-Verlag Berlin Heidelberg 2001.

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Finkbeiner, B. (2001). Language containment checking with nondeterministic BDDs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2031 LNCS, pp. 24–38). Springer Verlag. https://doi.org/10.1007/3-540-45319-9_3

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