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  • We provide a parameterized polynomial algorithm for the propositional model counting problem #SAT, the runtime of which is single-exponential in the rank-width of a formula. Previously, analogous algorithms have been known -- e.g.~[Fischer, Makowsky, and Ravve] -- with a single-exponential dependency on the clique-width of a formula. Our algorithm thus presents an exponential runtime improvement (since clique-width reaches up to exponentially higher values than rank-width), and can be of practical interest for small values of rank-width. We also provide an algorithm for the MAX-SAT problem along the same lines.
  • We provide a parameterized polynomial algorithm for the propositional model counting problem #SAT, the runtime of which is single-exponential in the rank-width of a formula. Previously, analogous algorithms have been known -- e.g.~[Fischer, Makowsky, and Ravve] -- with a single-exponential dependency on the clique-width of a formula. Our algorithm thus presents an exponential runtime improvement (since clique-width reaches up to exponentially higher values than rank-width), and can be of practical interest for small values of rank-width. We also provide an algorithm for the MAX-SAT problem along the same lines. (en)
Title
  • Better algorithms for satisfiability problems for formulas of bounded rank-width
  • Better algorithms for satisfiability problems for formulas of bounded rank-width (en)
skos:prefLabel
  • Better algorithms for satisfiability problems for formulas of bounded rank-width
  • Better algorithms for satisfiability problems for formulas of bounded rank-width (en)
skos:notation
  • RIV/00216224:14330/10:00045217!RIV11-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • O, P(GA201/08/0308), P(GC201/09/J021), S, Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 248651
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/10:00045217
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  • propositional model counting; satisfiability; rank-width; clique-width; parameterized complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [3E21A3F341A9]
http://linked.open...v/mistoKonaniAkce
  • Chennai, India
http://linked.open...i/riv/mistoVydani
  • Dagstuhl, Germany
http://linked.open...i/riv/nazevZdroje
  • IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)
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http://linked.open...UplatneniVysledku
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  • Ganian, Robert
  • Hliněný, Petr
  • Obdržálek, Jan
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  • 000000
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http://linked.open...n/vavai/riv/zamer
issn
  • 1868-8969
number of pages
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  • Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, LIPICS
https://schema.org/isbn
  • 978-3-939897-23-1
http://localhost/t...ganizacniJednotka
  • 14330
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