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Separating Without Any Ambiguity

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Abstract

We investigate a standard operator on classes of languages: unambiguous polynomial closure. We show that if C is a class of regular languages having some mild properties, the membership problem for its unambiguous polynomial closure UPol(C) reduces to the same problem for C. We give a new, self-contained and elementary proof of this result. We also show that unambiguous polynomial closure coincides with alternating left and right deterministic closure. Finally, if additionally C is finite, we show that the separation and covering problems are decidable for UPol(C).

BibTeX - Entry

@InProceedings{place_et_al:LIPIcs:2018:9141,
  author =	{Thomas Place and Marc Zeitoun},
  title =	{{Separating Without Any Ambiguity}},
  booktitle =	{45th International Colloquium on Automata, Languages, and  Programming (ICALP 2018)},
  pages =	{137:1--137:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9141},
  URN =		{urn:nbn:de:0030-drops-91419},
  doi =		{10.4230/LIPIcs.ICALP.2018.137},
  annote =	{Keywords: Regular languages, separation problem, decidable characterizations}
}

Keywords: Regular languages, separation problem, decidable characterizations
Seminar: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Issue date: 2018
Date of publication: 2018


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