License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2020.136
URN: urn:nbn:de:0030-drops-125430
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12543/
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Niwiński, Damian ; Przybyłko, Marcin ; Skrzypczak, Michał

Computing Measures of Weak-MSO Definable Sets of Trees

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Abstract

This work addresses the problem of computing measures of recognisable sets of infinite trees. An algorithm is provided to compute the probability measure of a tree language recognisable by a weak alternating automaton, or equivalently definable in weak monadic second-order logic. The measure is the uniform coin-flipping measure or more generally it is generated by a branching stochastic process. The class of tree languages in consideration, although smaller than all regular tree languages, comprises in particular the languages definable in the alternation-free μ-calculus or in temporal logic CTL. Thus, the new algorithm may enhance the toolbox of probabilistic model checking.

BibTeX - Entry

@InProceedings{niwiski_et_al:LIPIcs:2020:12543,
  author =	{Damian Niwiński and Marcin Przybyłko and Michał Skrzypczak},
  title =	{{Computing Measures of Weak-MSO Definable Sets of Trees}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{136:1--136:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12543},
  URN =		{urn:nbn:de:0030-drops-125430},
  doi =		{10.4230/LIPIcs.ICALP.2020.136},
  annote =	{Keywords: infinite trees, weak alternating automata, coin-flipping measure}
}

Keywords: infinite trees, weak alternating automata, coin-flipping measure
Collection: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue Date: 2020
Date of publication: 29.06.2020

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