Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Bojanczyk, Mikolaj; Kiefer, Sandra; Lhote, Nathan http://www.dagstuhl.de/lipics License
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URN: urn:nbn:de:0030-drops-106821
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String-to-String Interpretations With Polynomial-Size Output

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Abstract

String-to-string MSO interpretations are like Courcelle's MSO transductions, except that a single output position can be represented using a tuple of input positions instead of just a single input position. In particular, the output length is polynomial in the input length, as opposed to MSO transductions, which have output of linear length. We show that string-to-string MSO interpretations are exactly the polyregular functions. The latter class has various characterisations, one of which is that it consists of the string-to-string functions recognised by pebble transducers. Our main result implies the surprising fact that string-to-string MSO interpretations are closed under composition.

BibTeX - Entry

@InProceedings{bojanczyk_et_al:LIPIcs:2019:10682,
  author =	{Mikolaj Bojanczyk and Sandra Kiefer and Nathan Lhote},
  title =	{{String-to-String Interpretations With Polynomial-Size Output}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{106:1--106:14},
  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/2019/10682},
  URN =		{urn:nbn:de:0030-drops-106821},
  doi =		{10.4230/LIPIcs.ICALP.2019.106},
  annote =	{Keywords: MSO, interpretations, pebble transducers, polyregular functions}
}

Keywords: MSO, interpretations, pebble transducers, polyregular functions
Seminar: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue date: 2019
Date of publication: 2019


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