• Title of article

    Satisfiable Formulas Closed Under Replacement

  • Author/Authors

    Hans Kleine Büning، نويسنده , , Hans and Xishun، نويسنده , , Zhao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    11
  • From page
    48
  • To page
    58
  • Abstract
    Let Var-SAT be the set of prepositional formulas which are satisfiable for any replacement of any set of literals by their complements. We discuss the complexity of Var-SAT. For 2-CNF -formulas we present a linear-time algorithm, and for DNF⩕ CNF -formulas we show the coNP—hardness of the problem Var-SAT. Further, we show that any satisfiable hitting formula and any proper subformula of a minimal unsatisfiable Horn-formula is in Var-SAT.
  • Journal title
    Electronic Notes in Discrete Mathematics
  • Serial Year
    2001
  • Journal title
    Electronic Notes in Discrete Mathematics
  • Record number

    1453222