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.MFCS.2018.57
URN: urn:nbn:de:0030-drops-96396
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/9639/
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Hague, Matthew ; Meyer, Roland ; Muskalla, Sebastian ; Zimmermann, Martin

Parity to Safety in Polynomial Time for Pushdown and Collapsible Pushdown Systems

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LIPIcs-MFCS-2018-57.pdf (0.5 MB)

Abstract

We give a direct polynomial-time reduction from parity games played over the configuration graphs of collapsible pushdown systems to safety games played over the same class of graphs. That a polynomial-time reduction would exist was known since both problems are complete for the same complexity class. Coming up with a direct reduction, however, has been an open problem. Our solution to the puzzle brings together a number of techniques for pushdown games and adds three new ones. This work contributes to a recent trend of liveness to safety reductions which allow the advanced state-of-the-art in safety checking to be used for more expressive specifications.

BibTeX - Entry

@InProceedings{hague_et_al:LIPIcs:2018:9639,
  author =	{Matthew Hague and Roland Meyer and Sebastian Muskalla and Martin Zimmermann},
  title =	{{Parity to Safety in Polynomial Time for Pushdown and Collapsible Pushdown Systems}},
  booktitle =	{43rd International Symposium on Mathematical Foundations  of Computer Science (MFCS 2018)},
  pages =	{57:1--57:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-086-6},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{117},
  editor =	{Igor Potapov and Paul Spirakis and James Worrell},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9639},
  URN =		{urn:nbn:de:0030-drops-96396},
  doi =		{10.4230/LIPIcs.MFCS.2018.57},
  annote =	{Keywords: Parity Games, Safety Games, Pushdown Systems, Collapsible Pushdown Systems, Higher-Order Recursion Schemes, Model Checking}
}

Keywords: Parity Games, Safety Games, Pushdown Systems, Collapsible Pushdown Systems, Higher-Order Recursion Schemes, Model Checking
Collection: 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)
Issue Date: 2018
Date of publication: 27.08.2018

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