A Probabilistic 3-SAT Algorithm Further Improved

  • Authors:
  • Thomas Hofmeister;Uwe Schöning;Rainer Schuler;Osamu Watanabe

  • Affiliations:
  • -;-;-;-

  • Venue:
  • STACS '02 Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

In [Sch99], Sch枚ning proposed a simple yet efficient randomized algorithm for solving the k-SAT problem. In the case of 3-SAT, the algorithm has an expected running time of poly(n) 驴 (4/3)n = O(1.3334n) when given a formula F on n variables. This was the up to now best running time known for an algorithm solving 3-SAT. Here, we describe an algorithm which improves upon this time bound by combining an improved version of the above randomized algorithm with other randomized algorithms. Our new expected time bound for 3-SAT is O(1.3302n).