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Chain automata. (English) Zbl 0872.68117

Summary: We introduce a new version of Rabin automata for which the construction of an automaton for the union, the intersection and the complement is very simple. Furthermore, these automata admit a natural reduction of their acceptance condition. This leads to a new characterization of the Rabin index of an \(\omega\)-language.

MSC:

68Q45 Formal languages and automata
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