Papers › On finitely ambiguous Büchi automata
On finitely ambiguous Büchi automata
Christof Löding, Anton Pirogov
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Unambiguous B\"uchi automata, i.e. B\"uchi automata allowing only one accepting run per word, are a useful restriction of B\"uchi automata that is well-suited for probabilistic model-checking. In this paper we propose a more permissive variant, namely finitely ambiguous B\"uchi automata, a generalisation where each word has at most k accepting runs, for some fixed k. We adapt existing notions and results concerning finite and bounded ambiguity of finite automata to the setting of ω-languages and present a translation from arbitrary nondeterministic B\"uchi automata with n states to finitely ambiguous automata with at most 3ⁿ states and at most n accepting runs per word.
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