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.CSL.2015.160
URN: urn:nbn:de:0030-drops-54133
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5413/
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Carton, Olivier ; Dartois, Luc

Aperiodic Two-way Transducers and FO-Transductions

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Abstract

Deterministic two-way transducers on finite words have been shown by Engelfriet and Hoogeboom to have the same expressive power as MSO-transductions. We introduce a notion of aperiodicity for these transducers and we show that aperiodic transducers correspond exactly to FO-transductions. This lifts to transducers the classical equivalence for languages between FO-definability, recognition by aperiodic monoids and acceptance by counter-free automata.

BibTeX - Entry

@InProceedings{carton_et_al:LIPIcs:2015:5413,
  author =	{Olivier Carton and Luc Dartois},
  title =	{{Aperiodic Two-way Transducers and FO-Transductions}},
  booktitle =	{24th EACSL Annual Conference on Computer Science Logic (CSL 2015)},
  pages =	{160--174},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-90-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{41},
  editor =	{Stephan Kreutzer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5413},
  URN =		{urn:nbn:de:0030-drops-54133},
  doi =		{10.4230/LIPIcs.CSL.2015.160},
  annote =	{Keywords: Transducer, first-order, two-way, transition monoid, aperiodic}
}

Keywords: Transducer, first-order, two-way, transition monoid, aperiodic
Collection: 24th EACSL Annual Conference on Computer Science Logic (CSL 2015)
Issue Date: 2015
Date of publication: 07.09.2015

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