Closure properties of locally finite ω-languages

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Closure properties of locally finite omega-languages

Locally finite ω-languages, defined via second order quantifications followed by a first order locally finite sentence, were introduced by Ressayre in [Res88]. They enjoy very nice properties and extend ω-languages accepted by finite automata or defined by monadic second order sentences. We study here closure properties of the family LOCω of locally finite omega languages. In particular we show...

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Locally finite ω-languages and effective analytic sets have the same topological complexity

Local sentences and the formal languages they define were introduced by Ressayre in [Res88]. We prove that locally finite ω-languages and effective analytic sets have the same topological complexity: the Borel and Wadge hierarchies of the class of locally finite ω-languages are equal to the Borel and Wadge hierarchies of the class of effective analytic sets. In particular, for each non-null rec...

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Topological complexity of locally finite omega -languages

Locally finite omega languages were introduced by Ressayre in [Formal Languages defined by the Underlying Structure of their Words, Journal of Symbolic Logic, 53, number 4, December 1988, p. 1009-1026]. These languages are defined by local sentences and extend ω-languages accepted by Büchi automata or defined by monadic second order sentences. We investigate their topological complexity. All lo...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2004

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2004.03.025