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.MFCS.2020.29
URN: urn:nbn:de:0030-drops-126979
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12697/
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Douéneau-Tabot, Gaëtan ; Filiot, Emmanuel ; Gastin, Paul

Register Transducers Are Marble Transducers

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LIPIcs-MFCS-2020-29.pdf (0.5 MB)

Abstract

Deterministic two-way transducers define the class of regular functions from words to words. Alur and Cerný introduced an equivalent model of transducers with registers called copyless streaming string transducers. In this paper, we drop the "copyless" restriction on these machines and show that they are equivalent to two-way transducers enhanced with the ability to drop marks, named "marbles", on the input. We relate the maximal number of marbles used with the amount of register copies performed by the streaming string transducer. Finally, we show that the class membership problems associated with these models are decidable. Our results can be interpreted in terms of program optimization for simple recursive and iterative programs.

BibTeX - Entry

@InProceedings{douneautabot_et_al:LIPIcs:2020:12697,
  author =	{Ga{\"e}tan Dou{\'e}neau-Tabot and Emmanuel Filiot and Paul Gastin},
  title =	{{Register Transducers Are Marble Transducers}},
  booktitle =	{45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)},
  pages =	{29:1--29:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-159-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{170},
  editor =	{Javier Esparza and Daniel Kr{\'a}ľ},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12697},
  URN =		{urn:nbn:de:0030-drops-126979},
  doi =		{10.4230/LIPIcs.MFCS.2020.29},
  annote =	{Keywords: streaming string transducer, two-way transducer, marbles, pebbles}
}

Keywords: streaming string transducer, two-way transducer, marbles, pebbles
Collection: 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)
Issue Date: 2020
Date of publication: 18.08.2020

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