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DOI: 10.4230/LIPIcs.FSTTCS.2012.86
URN: urn:nbn:de:0030-drops-38501
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2012/3850/
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Krebs, Andreas ; Straubing, Howard

An effective characterization of the alternation hierarchy in two-variable logic

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Abstract

We characterize the languages in the individual levels of the quantifier alternation hierarchy of first-order logic with two variables by identities. This implies decidability of the individual levels. More generally we show that two-sided semidirect products with J as the right-hand factor preserve decidability.

BibTeX - Entry

@InProceedings{krebs_et_al:LIPIcs:2012:3850,
  author =	{Andreas Krebs and Howard Straubing},
  title =	{{An effective characterization of the alternation hierarchy in two-variable logic}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012) },
  pages =	{86--98},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-47-7},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{18},
  editor =	{Deepak D'Souza and Telikepalli Kavitha and Jaikumar Radhakrishnan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2012/3850},
  URN =		{urn:nbn:de:0030-drops-38501},
  doi =		{10.4230/LIPIcs.FSTTCS.2012.86},
  annote =	{Keywords: FO_2, Quantifier Alternation, J, Pseudovarities, Identities}
}

Keywords: FO_2, Quantifier Alternation, J, Pseudovarities, Identities
Collection: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)
Issue Date: 2012
Date of publication: 14.12.2012

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