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DOI: 10.4230/LIPIcs.ICALP.2016.99
URN: urn:nbn:de:0030-drops-62346
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6234/
Skrzypczak, Michal ; Walukiewicz, Igor
Deciding the Topological Complexity of Büchi Languages
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Abstract
We study the topological complexity of languages of Büchi automata on infinite binary trees. We show that such a language is either Borel and WMSO-definable, or Sigma_1^1-complete and not WMSO-definable; moreover it can be algorithmically decided which of the two cases holds. The proof relies on a direct reduction to deciding the winner in a finite game with a regular winning condition.
BibTeX - Entry
@InProceedings{skrzypczak_et_al:LIPIcs:2016:6234,
author = {Michal Skrzypczak and Igor Walukiewicz},
title = {{Deciding the Topological Complexity of B{\"u}chi Languages}},
booktitle = {43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
pages = {99:1--99:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-013-2},
ISSN = {1868-8969},
year = {2016},
volume = {55},
editor = {Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/6234},
URN = {urn:nbn:de:0030-drops-62346},
doi = {10.4230/LIPIcs.ICALP.2016.99},
annote = {Keywords: tree automata, non-determinism, Borel sets, topological complexity, decidability}
}
| Keywords: | tree automata, non-determinism, Borel sets, topological complexity, decidability | |
| Seminar: | 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016) | |
| Issue date: | 2016 | |
| Date of publication: | 23.08.2016 |
