Unifying Büchi Complementation Constructions
نویسندگان
چکیده
منابع مشابه
Unifying Büchi Complementation Constructions
Complementation of Büchi automata, required for checking automata containment, is of major theoretical and practical interest in formal verification. We consider two recent approaches to complementation. The first is the rank-based approach of Kupferman and Vardi, which operates over a dag that embodies all runs of the automaton. This approach is based on the observation that the vertices of th...
متن کاملBüchi Complementation
This entry provides a verified implementation of rank-based Büchi Complementation [1]. The verification is done in three steps: 1. Definition of odd rankings and proof that an automaton rejects a word iff there exists an odd ranking for it. 2. Definition of the complement automaton and proof that it accepts exactly those words for which there is an odd ranking. 3. Verified implementation of the...
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The complementation problem for nondeterministic word automata has numerous applications in formal verification. In particular, the language-containment problem, to which many verification problems is reduced, involves complementation. For automata on finite words, which correspond to safety properties, complementation involves determinization. The 2 blow-up that is caused by the subset constru...
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Complementation of Büchi automata has been studied for over five decades since the formalism was introduced in 1960. Known complementation constructions can be classified into Ramsey-based, determinization-based, rank-based, and slice-based approaches. Regarding the performance of these approaches, there have been several complexity analyses but very few experimental results. What especially la...
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The complementation problem for nondeterministic word automata has numerous applications in formal verification. In particular, the language-containment problem, to which many verification problems are reduced, involves complementation. For automata on finite words, which correspond to safety properties, complementation involves determinization. The 2 blow-up that is caused by the subset constr...
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ژورنال
عنوان ژورنال: Logical Methods in Computer Science
سال: 2013
ISSN: 1860-5974
DOI: 10.2168/lmcs-9(1:13)2013