In computer science and automata theory, a Weak Büchi automaton is a formalism which represents a set of infinite words. A Weak Büchi automaton is a modification of Büchi automaton such that for all pair of states and belonging to the same strongly connected component, is accepting if and only if is accepting. A Büchi automaton accepts a word if there exists a run, such that at least one state occurring infinitely often in the final state set . For Weak Büchi automata, this condition is equivalent to the existence of a run which ultimately stays in the set of accepting states.
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