Abstract. Recently Schuler [17] presented a randomized algorithm that solves SAT in expected time at most 2n(1−1/ log2(2m)) up to a polynomial factor, where n and m are, respecti...
Survey propagation is a powerful technique from statistical physics that has been applied to solve the 3-SAT problem both in principle and in practice. We give, using only probabi...
A simple first moment argument shows that in a randomly chosen k-SAT formula with m clauses over n boolean variables, the fraction of satisfiable clauses is 1−2−k +o(1) as m/...
We introduce a new set of probabilistic analysis tools based on the analysis of And-Or trees with random inputs. These tools provide a unifying, intuitive, and powerful framework ...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. This algorithm uses the clauseshorte...