About: Complementation of Büchi automaton

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In automata theory, complementation of a Büchi automaton is construction of another Büchi automaton that recognizes complement of the ω-regular language recognized by the given Büchi automaton. Existence of algorithms for this construction proves that the set of ω-regular languages and Büchi automata are closed under complementation.

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  • In automata theory, complementation of a Büchi automaton is construction of another Büchi automaton that recognizes complement of the ω-regular language recognized by the given Büchi automaton. Existence of algorithms for this construction proves that the set of ω-regular languages and Büchi automata are closed under complementation. This construction is particularly hard relative to the constructions for the other closure properties of Büchi automata. The first construction was presented by Büchi in 1962. Later, other constructions were developed that enabled efficient and optimal complementation. (en)
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  • In automata theory, complementation of a Büchi automaton is construction of another Büchi automaton that recognizes complement of the ω-regular language recognized by the given Büchi automaton. Existence of algorithms for this construction proves that the set of ω-regular languages and Büchi automata are closed under complementation. (en)
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  • Complementation of Büchi automaton (en)
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