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: https://drops.dagstuhl.de/opus/volltexte/2018/9639/
Hague, Matthew ; Meyer, Roland ; Muskalla, Sebastian ; Zimmermann, Martin
Parity to Safety in Polynomial Time for Pushdown and Collapsible Pushdown Systems
| pdf-format: |
|
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 | |
| Seminar: | 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 27.08.2018 |
