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.2020.58
URN: urn:nbn:de:0030-drops-127255
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12725/
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Kuperberg, Denis ; Martens, Jan

Regular Resynchronizability of Origin Transducers Is Undecidable

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LIPIcs-MFCS-2020-58.pdf (0.5 MB)


Abstract

We study the relation of containment up to unknown regular resynchronization between two-way non-deterministic transducers. We show that it constitutes a preorder, and that the corresponding equivalence relation is properly intermediate between origin equivalence and classical equivalence. We give a syntactical characterization for containment of two transducers up to resynchronization, and use it to show that this containment relation is undecidable already for one-way non-deterministic transducers, and for simple classes of resynchronizations. This answers the open problem stated in recent works, asking whether this relation is decidable for two-way non-deterministic transducers.

BibTeX - Entry

@InProceedings{kuperberg_et_al:LIPIcs:2020:12725,
  author =	{Denis Kuperberg and Jan Martens},
  title =	{{Regular Resynchronizability of Origin Transducers Is Undecidable}},
  booktitle =	{45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)},
  pages =	{58:1--58:14},
  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}ΔΎ},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12725},
  URN =		{urn:nbn:de:0030-drops-127255},
  doi =		{10.4230/LIPIcs.MFCS.2020.58},
  annote =	{Keywords: transducers, origin, resynchronisation, MSO, one-way, two-way, undecidability}
}

Keywords: transducers, origin, resynchronisation, MSO, one-way, two-way, undecidability
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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