Recursive algorithm for parity games requires exponential time

Oliver Friedmann

RAIRO - Theoretical Informatics and Applications (2012)

  • Volume: 45, Issue: 4, page 449-457
  • ISSN: 0988-3754

Abstract

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This paper presents a new lower bound for the recursive algorithm for solving parity games which is induced by the constructive proof of memoryless determinacy by Zielonka. We outline a family of games of linear size on which the algorithm requires exponential time.

How to cite

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Friedmann, Oliver. "Recursive algorithm for parity games requires exponential time." RAIRO - Theoretical Informatics and Applications 45.4 (2012): 449-457. <http://eudml.org/doc/222001>.

@article{Friedmann2012,
abstract = {This paper presents a new lower bound for the recursive algorithm for solving parity games which is induced by the constructive proof of memoryless determinacy by Zielonka. We outline a family of games of linear size on which the algorithm requires exponential time.},
author = {Friedmann, Oliver},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Parity games; recursive algorithm; lower bound; μcalculus; model checking; parity games; -calculus},
language = {eng},
month = {1},
number = {4},
pages = {449-457},
publisher = {EDP Sciences},
title = {Recursive algorithm for parity games requires exponential time},
url = {http://eudml.org/doc/222001},
volume = {45},
year = {2012},
}

TY - JOUR
AU - Friedmann, Oliver
TI - Recursive algorithm for parity games requires exponential time
JO - RAIRO - Theoretical Informatics and Applications
DA - 2012/1//
PB - EDP Sciences
VL - 45
IS - 4
SP - 449
EP - 457
AB - This paper presents a new lower bound for the recursive algorithm for solving parity games which is induced by the constructive proof of memoryless determinacy by Zielonka. We outline a family of games of linear size on which the algorithm requires exponential time.
LA - eng
KW - Parity games; recursive algorithm; lower bound; μcalculus; model checking; parity games; -calculus
UR - http://eudml.org/doc/222001
ER -

References

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