License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2017.108
URN: urn:nbn:de:0030-drops-74647
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7464/
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Jung, Jean Christoph ; Lutz, Carsten ; Martel, Mauricio ; Schneider, Thomas ; Wolter, Frank

Conservative Extensions in Guarded and Two-Variable Fragments

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LIPIcs-ICALP-2017-108.pdf (0.6 MB)

Abstract

We investigate the decidability and computational complexity of (deductive) conservative extensions in fragments of first-order logic (FO), with a focus on the two-variable fragment FO2 and the guarded fragment GF. We prove that conservative extensions are undecidable in any FO fragment that contains FO2 or GF (even the three-variable fragment thereof), and that they are decidable and 2ExpTime-complete in the intersection GF2 of FO2 and GF.

BibTeX - Entry

@InProceedings{jung_et_al:LIPIcs:2017:7464,
  author =	{Jean Christoph Jung and Carsten Lutz and Mauricio Martel and Thomas Schneider and Frank Wolter},
  title =	{{Conservative Extensions in Guarded and Two-Variable Fragments}},
  booktitle =	{44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)},
  pages =	{108:1--108:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-041-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{80},
  editor =	{Ioannis Chatzigiannakis and Piotr Indyk and Fabian Kuhn and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7464},
  URN =		{urn:nbn:de:0030-drops-74647},
  doi =		{10.4230/LIPIcs.ICALP.2017.108},
  annote =	{Keywords: Conservative Extensions, Decidable Fragments of First-Order Logic, Computational Complexity}}
}

Keywords: Conservative Extensions, Decidable Fragments of First-Order Logic, Computational Complexity}
Collection: 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Issue Date: 2017
Date of publication: 07.07.2017

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