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.2019.128
URN: urn:nbn:de:0030-drops-107042
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10704/
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Reynier, Pierre-Alain ; Villevalois, Didier

Sequentiality of String-to-Context Transducers

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LIPIcs-ICALP-2019-128.pdf (0.6 MB)

Abstract

Transducers extend finite state automata with outputs, and describe transformations from strings to strings. Sequential transducers, which have a deterministic behaviour regarding their input, are of particular interest. However, unlike finite-state automata, not every transducer can be made sequential. The seminal work of Choffrut allows to characterise, amongst the functional one-way transducers, the ones that admit an equivalent sequential transducer.
In this work, we extend the results of Choffrut to the class of transducers that produce their output string by adding simultaneously, at each transition, a string on the left and a string on the right of the string produced so far. We call them the string-to-context transducers. We obtain a multiple characterisation of the functional string-to-context transducers admitting an equivalent sequential one, based on a Lipschitz property of the function realised by the transducer, and on a pattern (a new twinning property). Last, we prove that given a string-to-context transducer, determining whether there exists an equivalent sequential one is in coNP.

BibTeX - Entry

@InProceedings{reynier_et_al:LIPIcs:2019:10704,
  author =	{Pierre-Alain Reynier and Didier Villevalois},
  title =	{{Sequentiality of String-to-Context Transducers}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{128:1--128:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-109-2},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{132},
  editor =	{Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10704},
  URN =		{urn:nbn:de:0030-drops-107042},
  doi =		{10.4230/LIPIcs.ICALP.2019.128},
  annote =	{Keywords: Transducers, Sequentiality, Twinning Property, Two-Way Transducers}
}

Keywords: Transducers, Sequentiality, Twinning Property, Two-Way Transducers
Collection: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue Date: 2019
Date of publication: 04.07.2019

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