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DOI: 10.4230/LIPIcs.CSL.2017.22
URN: urn:nbn:de:0030-drops-76728
URL: http://drops.dagstuhl.de/opus/volltexte/2017/7672/
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Carton, Olivier ; Finkel, Olivier ; Lecomte, Dominique

Polishness of Some Topologies Related to Automata

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LIPIcs-CSL-2017-22.pdf (0.4 MB)


Abstract

We prove that the Büchi topology, the automatic topology, the alphabetic topology and the strong alphabetic topology are Polish, and provide consequences of this.

BibTeX - Entry

@InProceedings{carton_et_al:LIPIcs:2017:7672,
  author =	{Olivier Carton and Olivier Finkel and Dominique Lecomte},
  title =	{{Polishness of Some Topologies Related to Automata}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{22:1--22:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Valentin Goranko and Mads Dam},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7672},
  URN =		{urn:nbn:de:0030-drops-76728},
  doi =		{10.4230/LIPIcs.CSL.2017.22},
  annote =	{Keywords: Automata and formal languages; logic in computer science; infinite words; B{\"u}chi automaton; regular omega-language; Cantor space; finer topologies; B{\"u}c}
}

Keywords: Automata and formal languages; logic in computer science; infinite words; Büchi automaton; regular omega-language; Cantor space; finer topologies; Büc
Seminar: 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)
Issue Date: 2017
Date of publication: 14.08.2017


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