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Collapse for Unambiguous Automata

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Descriptive Set Theoretic Methods in Automata Theory

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9802))

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Abstract

A natural class in-between deterministic and non-deterministic automata is the class of unambiguous ones — an automaton is unambiguous if it has at most one accepting run on every tree. It seems that an unambiguous automaton represents the structure of the recognised language in a more rigid way than a general non-deterministic automaton. However, as shown in [NW96], there are ambiguous regular tree languages — languages that are not recognised by any unambiguous automaton.

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Correspondence to Michał Skrzypczak .

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© 2016 Springer-Verlag Berlin Heidelberg

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Skrzypczak, M. (2016). Collapse for Unambiguous Automata. In: Descriptive Set Theoretic Methods in Automata Theory. Lecture Notes in Computer Science(), vol 9802. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52947-8_3

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  • DOI: https://doi.org/10.1007/978-3-662-52947-8_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-52946-1

  • Online ISBN: 978-3-662-52947-8

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