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An Improved Subexpo...
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Björklund, HenrikUppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science
(author)
An Improved Subexponential Algorithm for Parity Games
Publisher, publication year, extent ...
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Uppsala: Department of Information Technology, Uppsala University,2003
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electronicrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:uu-49006
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https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-49006URI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:vet swepub-contenttype
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Subject category:rap swepub-publicationtype
Series
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Technical report / Department of Information Technology, Uppsala University,1404-3203 ;2003-017
Notes
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We suggest a new algorithm for deciding parity games, a fundamental problem of unknown complexity (in NPcapcoNP, not known to belong to P) in game, automata, complexity theories, combinatorial optimization, temporal logic of programs, computer-aided verification. The novelty of the algorithm consists in exploiting a special form of parity games with retreats, where optimal retreat edges define absorbing facets (with better values than their neighbors on complementary facets) in the strategy space. A superset of such absorbing facets can be found by standard random iterative improvement algorithms in expected polynomial time. Additional dual techniques are used to minimize this superset. As a result, the dimension of the problem shrinks, to which we finally apply the Kalai-Matousek-Sharir-Welzl-Ludwig-style randomization techniques we recently adapted for games [Bjorklund, Sandberg, Vorobyov, STACS'2003 and TR-2003-002]
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Sandberg, SvenUppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science(Swepub:uu)svsan813
(author)
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Vorobyov, SergeiUppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science
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Uppsala universitetInstitutionen för informationsteknologi
(creator_code:org_t)
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