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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)
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  • Better algorithms for satisfiability problems for formulas of bounded rank-width
  • Better algorithms for satisfiability problems for formulas of bounded rank-width (en)
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  • RIV/00216224:14330/13:00066369!RIV14-GA0-14330___
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  • P(GAP202/11/0196)
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  • 1
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  • RIV/00216224:14330/13:00066369
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  • propositional model counting; satisfiability; rank-width; clique-width; parameterized complexity (en)
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  • NL - Nizozemsko
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  • [7F4150700843]
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  • 123
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  • Ganian, Robert
  • Hliněný, Petr
  • Obdržálek, Jan
http://linked.open...ain/vavai/riv/wos
  • 000317267500005
issn
  • 0169-2968
number of pages
http://bibframe.org/vocab/doi
  • 10.3233/FI-2013-800
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  • 14330
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