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URN: urn:nbn:de:0030-drops-13182
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Weak index versus Borel rank

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Abstract

We investigate weak recognizability of deterministic languages of infinite trees. We prove that for deterministic languages the Borel hierarchy and the weak index hierarchy coincide. Furthermore, we propose a procedure computing for a deterministic automaton an equivalent minimal index weak automaton with a quadratic number of states. The algorithm works within the time of solving the emptiness problem.

BibTeX - Entry

@InProceedings{murlak:LIPIcs:2008:1318,
  author =	{Filip Murlak},
  title =	{{Weak index versus Borel rank}},
  booktitle =	{25th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{573--584},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-06-4},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{1},
  editor =	{Susanne Albers and Pascal Weil},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1318},
  URN =		{urn:nbn:de:0030-drops-13182},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2008.1318},
  annote =	{Keywords: Weak index, Borel rank, deterministic tree automata}
}

Keywords: Weak index, Borel rank, deterministic tree automata
Seminar: 25th International Symposium on Theoretical Aspects of Computer Science
Issue date: 2008
Date of publication: 2008


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