Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Bs, Alexis; Carton, Olivier http://www.dagstuhl.de/lipics License
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-32233
URL:

;

Algebraic Characterization of FO for Scattered Linear Orderings

pdf-format:


Abstract

We prove that for the class of sets of words indexed by countable scattered linear orderings, there is an equivalence between definability in first-order logic, star-free expressions with marked product, and recognizability by finite aperiodic semigroups which satisfy some additional equation.

BibTeX - Entry

@InProceedings{bs_et_al:LIPIcs:2011:3223,
  author =	{Alexis B{\`e}s and Olivier Carton},
  title =	{{Algebraic Characterization of FO for Scattered Linear Orderings}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{67--81},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Marc Bezem},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3223},
  URN =		{urn:nbn:de:0030-drops-32233},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.CSL.2011.67},
  annote =	{Keywords: linear orderings, first-order logic, semigroups, rational sets}
}

Keywords: linear orderings, first-order logic, semigroups, rational sets
Seminar: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue date: 2011
Date of publication: 2011


DROPS-Home | Fulltext Search | Imprint Published by LZI