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Description
  • We show quadratic lower bounds on the total space used in resolution refutations of random k-CNFs over n variables, and of the graph pigeonhole principle and the bit pigeonhole principle for n holes. This answers the long-standing open problem of whether there are families of k-CNF formulas of polynomial size which require quadratic total space in resolution. The results follow from a more general theorem showing that, for formulas satisfying certain conditions, in every resolution refutation there is a memory configuration containing many clauses of large width.
  • We show quadratic lower bounds on the total space used in resolution refutations of random k-CNFs over n variables, and of the graph pigeonhole principle and the bit pigeonhole principle for n holes. This answers the long-standing open problem of whether there are families of k-CNF formulas of polynomial size which require quadratic total space in resolution. The results follow from a more general theorem showing that, for formulas satisfying certain conditions, in every resolution refutation there is a memory configuration containing many clauses of large width. (en)
Title
  • Total space in resolution
  • Total space in resolution (en)
skos:prefLabel
  • Total space in resolution
  • Total space in resolution (en)
skos:notation
  • RIV/67985840:_____/14:00438303!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • I, P(GBP202/12/G061)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 50743
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  • RIV/67985840:_____/14:00438303
http://linked.open...riv/jazykVysledku
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  • bipartite graph; polynomials; semantics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [CC9D8FB04C5A]
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  • Philadelphia
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  • Piscataway
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  • Annual IEEE Symposium on Foundations of Computer Science (FOCS 2014)
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  • Thapen, Neil
  • Bonacina, I.
  • Galesi, N.
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http://linked.open.../riv/zahajeniAkce
number of pages
http://bibframe.org/vocab/doi
  • 10.1109/FOCS.2014.74
http://purl.org/ne...btex#hasPublisher
  • IEEE
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  • 978-1-4799-6517-5
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