Results related to threshold phenomena research in satisfiability: lower bounds

  • Authors:
  • John Franco

  • Affiliations:
  • Univ. of Cincinnati, Cincinnati, OH

  • Venue:
  • Theoretical Computer Science - Phase transitions in combinatorial problems
  • Year:
  • 2001

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Abstract

We present a history of results related to the threhold phenomena which arise in the study of random conjunctive normal form (CNF) formulas. In a companion paper (D. Achlioptas, Theoret. Comput. Sci., this volume) the major ideas used to achieve many of the lower bounds results on the location of the threshold are described in an informal, intuitive manner.