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.CALCO.2017.7
URN: urn:nbn:de:0030-drops-80468
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/8046/
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Cirstea, Corina ; Shimizu, Shunsuke ; Hasuo, Ichiro

Parity Automata for Quantitative Linear Time Logics

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LIPIcs-CALCO-2017-7.pdf (0.6 MB)

Abstract

We initiate a study of automata-based model checking for previously proposed quantitative linear time logics interpreted over coalgebras. Our results include: (i) an automata-theoretic characterisation of the semantics of these logics, based on a notion of extent of a quantitative parity automaton, (ii) a study of the expressive power of Buchi variants of such automata, with implications on the expressiveness of fragments of the logics considered, and (iii) a naive algorithm for computing extents, under additional assumptions on the domain of truth values.

BibTeX - Entry

@InProceedings{cirstea_et_al:LIPIcs:2017:8046,
  author =	{Corina Cirstea and Shunsuke Shimizu and Ichiro Hasuo},
  title =	{{Parity Automata for Quantitative Linear Time Logics}},
  booktitle =	{7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)},
  pages =	{7:1--7:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-033-0},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{72},
  editor =	{Filippo Bonchi and Barbara K{\"o}nig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/8046},
  URN =		{urn:nbn:de:0030-drops-80468},
  doi =		{10.4230/LIPIcs.CALCO.2017.7},
  annote =	{Keywords: coalgebra, quantitative logic, linear time logic, parity automaton}
}

Keywords: coalgebra, quantitative logic, linear time logic, parity automaton
Collection: 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)
Issue Date: 2017
Date of publication: 17.11.2017

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