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DOI: 10.4230/LIPIcs.ICALP.2019.126
URN: urn:nbn:de:0030-drops-107028
URL: http://drops.dagstuhl.de/opus/volltexte/2019/10702/
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Place, Thomas ; Zeitoun, Marc

On All Things Star-Free

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LIPIcs-ICALP-2019-126.pdf (0.5 MB)


Abstract

We investigate the star-free closure, which associates to a class of languages its closure under Boolean operations and marked concatenation. We prove that the star-free closure of any finite class and of any class of groups languages with decidable separation (plus mild additional properties) has decidable separation. We actually show decidability of a stronger property, called covering. This generalizes many results on the subject in a unified framework. A key ingredient is that star-free closure coincides with another closure operator where Kleene stars are also allowed in restricted contexts.

BibTeX - Entry

@InProceedings{place_et_al:LIPIcs:2019:10702,
  author =	{Thomas Place and Marc Zeitoun},
  title =	{{On All Things Star-Free}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{126:1--126:14},
  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/2019/10702},
  URN =		{urn:nbn:de:0030-drops-107028},
  doi =		{10.4230/LIPIcs.ICALP.2019.126},
  annote =	{Keywords: Regular languages, separation problem, star-free closure, group languages}
}

Keywords: Regular languages, separation problem, star-free closure, group languages
Seminar: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue Date: 2019
Date of publication: 08.07.2019


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