Summary: Solving Satisfiability using Decomposition and the Most Constrained Subproblem
Eyal Amir and Sheila McIlraith #
Department of Computer Science,
Gates Building, Wing 2A
Stanford University, Stanford, CA 94305­9020, USA
{eyal.amir,sheila.mcilraith}@cs.stanford.edu
Abstract
In this paper we provide SAT­solving procedures
that use the idea of decomposition together with the
heuristic of solving the most constrained subprob­
lem first. We present two approaches. We provide
an algorithm to find the most constrained subprob­
lem of a propositional SAT problem in polynomial
time. We use this algorithm iteratively to decom­
pose a SAT problem into partitions. We also pro­
vide a polynomial­time algorithm that uses the idea
of minimum vertex separators iteratively to provide
different decompositions. We show how to solve
SAT problems, using these algorithms to empha­
size solving the most constrained subproblem first.

Source: Amir, Eyal - Department of Computer Science, University of Illinois at Urbana-Champaign

Collections: Computer Technologies and Information Sciences