Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Bouyer, Patricia; Gardy, Patrick; Markey, Nicolas http://www.dagstuhl.de/lipics License
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-56537
URL:

; ;

Weighted Strategy Logic with Boolean Goals Over One-Counter Games

pdf-format:


Abstract

Strategy Logic is a powerful specification language for expressing non-zero-sum properties of multi-player games. SL conveniently extends the logic ATL with explicit quantification and assignment of strategies. In this paper, we consider games over one-counter automata, and a quantitative extension 1cSL of SL with assertions over the value of the counter. We prove two results: we first show that, if decidable, model checking the so-called Boolean-goal fragment of 1cSL has non-elementary complexity; we actually prove the result for the Boolean-goal fragment of SL over finite-state games, which was an open question in [Mogavero et al. Reasoning about strategies: On the model-checking problem. ACM ToCL 15(4),2014]. As a first step towards proving decidability, we then show that the Boolean-goal fragment of 1cSL over one-counter games enjoys a nice periodicity property.

BibTeX - Entry

@InProceedings{bouyer_et_al:LIPIcs:2015:5653,
  author =	{Patricia Bouyer and Patrick Gardy and Nicolas Markey},
  title =	{{Weighted Strategy Logic with Boolean Goals Over One-Counter Games}},
  booktitle =	{35th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2015)},
  pages =	{69--83},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-97-2},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{45},
  editor =	{Prahladh Harsha and G. Ramalingam},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5653},
  URN =		{urn:nbn:de:0030-drops-56537},
  doi =		{10.4230/LIPIcs.FSTTCS.2015.69},
  annote =	{Keywords: Temporal logics, multi-player games, strategy logic, quantitative games}
}

Keywords: Temporal logics, multi-player games, strategy logic, quantitative games
Seminar: 35th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2015)
Issue date: 2015
Date of publication: 2015


DROPS-Home | Fulltext Search | Imprint Published by LZI