On Local Versus Global Satisfiability

  • Authors:
  • Luca Trevisan

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2004

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Abstract

We prove an extremal combinatorial result regarding the fraction of satisfiable clauses in Boolean conjunctive normal form (CNF) formulae enjoying a locally checkable property, thus solving a problem that has been open for several years. We then generalize the problem to arbitrary constraint satisfaction problems. We prove a tight result even in the generalized case.