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DOI: 10.4230/LIPIcs.STACS.2009.1834
URN: urn:nbn:de:0030-drops-18345
URL: http://drops.dagstuhl.de/opus/volltexte/2009/1834/
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Bojanczyk, Mikolaj

Weak MSO with the Unbounding Quantifier

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Abstract

A new class of languages of infinite words is introduced, called the \emph{max-regular languages}, extending the class of $\omega$-regular languages. The class has two equivalent descriptions: in terms of automata (a type of deterministic counter automaton), and in terms of logic (weak monadic second-order logic with a bounding quantifier). Effective translations between the logic and automata are given.

BibTeX - Entry

@InProceedings{bojanczyk:LIPIcs:2009:1834,
  author =	{Mikolaj Bojanczyk},
  title =	{{Weak MSO with the Unbounding Quantifier}},
  booktitle =	{26th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{159--170},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-09-5},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{3},
  editor =	{Susanne Albers and Jean-Yves Marion},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/1834},
  URN =		{urn:nbn:de:0030-drops-18345},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2009.1834},
  annote =	{Keywords: Automata, Monadic second-order logic}
}

Keywords: Automata, Monadic second-order logic
Seminar: 26th International Symposium on Theoretical Aspects of Computer Science
Issue Date: 2009
Date of publication: 19.02.2009

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