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.TIME.2017.6
URN: urn:nbn:de:0030-drops-79175
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7917/
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Bozzelli, Laura ; Murano, Aniello ; Perelli, Giuseppe ; Sorrentino, Loredana

Hierarchical Cost-Parity Games

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LIPIcs-TIME-2017-6.pdf (0.6 MB)

Abstract

Cost-parity games are a fundamental tool in system design for the analysis of reactive and distributed systems that recently have received a lot of attention from the formal methods research community. They allow to reason about the time delay on the requests granted by systems, with a bounded consumption of resources, in their executions.

In this paper, we contribute to research on Cost-parity games by combining them with hierarchical systems, a successful method for the succinct representation of models. We show that determining the winner of a Hierarchical Cost-parity Game is PSpace-Complete, thus matching the complexity of the proper special case of Hierarchical Parity Games. This shows that reasoning about temporal delay can be addressed at a free cost in terms of complexity.

BibTeX - Entry

@InProceedings{bozzelli_et_al:LIPIcs:2017:7917,
  author =	{Laura Bozzelli and Aniello Murano and Giuseppe Perelli and Loredana Sorrentino},
  title =	{{Hierarchical Cost-Parity Games}},
  booktitle =	{24th International Symposium on Temporal Representation and Reasoning (TIME 2017)},
  pages =	{6:1--6:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-052-1},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{90},
  editor =	{Sven Schewe and Thomas Schneider and Jef Wijsen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7917},
  URN =		{urn:nbn:de:0030-drops-79175},
  doi =		{10.4230/LIPIcs.TIME.2017.6},
  annote =	{Keywords: Parity Games, Cost-Parity Games, Hierarchical Systems, System Verification}
}

Keywords: Parity Games, Cost-Parity Games, Hierarchical Systems, System Verification
Collection: 24th International Symposium on Temporal Representation and Reasoning (TIME 2017)
Issue Date: 2017
Date of publication: 25.09.2017

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