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License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FUN.2022.14
URN: urn:nbn:de:0030-drops-159842
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/15984/
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Fernau, Henning ; Haase, Carolina ; Hoffmann, Stefan

The Synchronization Game on Subclasses of Automata

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LIPIcs-FUN-2022-14.pdf (0.8 MB)

Abstract

The notion of synchronization of finite automata is connected to one of the long-standing open problems in combinatorial automata theory, which is Černý’s Conjecture. In this paper, we focus on so-called synchronization games. We will discuss how to present synchronization questions in a playful way. This leads us to study related complexity questions on certain classes of finite automata. More precisely, we consider weakly acyclic, commutative and k-simple idempotent automata. We encounter a number of complexity classes, ranging from L up to PSPACE.

BibTeX - Entry

@InProceedings{fernau_et_al:LIPIcs.FUN.2022.14,
  author =	{Fernau, Henning and Haase, Carolina and Hoffmann, Stefan},
  title =	{{The Synchronization Game on Subclasses of Automata}},
  booktitle =	{11th International Conference on Fun with Algorithms (FUN 2022)},
  pages =	{14:1--14:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-232-7},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{226},
  editor =	{Fraigniaud, Pierre and Uno, Yushi},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/15984},
  URN =		{urn:nbn:de:0030-drops-159842},
  doi =		{10.4230/LIPIcs.FUN.2022.14},
  annote =	{Keywords: Synchronization of finite automata, computational complexity}
}

Keywords: Synchronization of finite automata, computational complexity
Collection: 11th International Conference on Fun with Algorithms (FUN 2022)
Issue Date: 2022
Date of publication: 23.05.2022

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