License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2021.3
URN: urn:nbn:de:0030-drops-136481
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/13648/
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Tendera, Lidia

On the Fluted Fragment (Invited Talk)

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LIPIcs-STACS-2021-3.pdf (0.3 MB)

Abstract

The fluted fragment is a recently rediscovered decidable fragment of first-order logic whose history is dating back to Quine and the sixties of the 20th century. The fragment is defined by fixing simultaneously the order in which variables occur in atomic formulas and the order of quantification of variables; no further restrictions concerning e.g. the number of variables, guardedness or usage of negation apply. In the talk we review some motivation and the history of the fragment, discuss the differences between the fluted fragment and other decidable fragments of first-order logic, present its basic model theoretic and algorithmic properties, and discuss recent work concerning limits of decidability of its extensions.

BibTeX - Entry

@InProceedings{tendera:LIPIcs.STACS.2021.3,
  author =	{Tendera, Lidia},
  title =	{{On the Fluted Fragment}},
  booktitle =	{38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)},
  pages =	{3:1--3:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-180-1},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{187},
  editor =	{Bl\"{a}ser, Markus and Monmege, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13648},
  URN =		{urn:nbn:de:0030-drops-136481},
  doi =		{10.4230/LIPIcs.STACS.2021.3},
  annote =	{Keywords: decidability, fluted fragment, first-order logic, complexity, satisfiability, non-elementary}
}

Keywords: decidability, fluted fragment, first-order logic, complexity, satisfiability, non-elementary
Collection: 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)
Issue Date: 2021
Date of publication: 10.03.2021

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