Title
Checking Satisfiability by Dependency Sequents
Abstract
We introduce a new algorithm for checking satisfiability based on a calculus of Dependency sequents (D-sequents). Given a CNF formula F(X), a D-sequent is a record stating that under a partial assignment a set of variables of X is redundant in formula \exists{X}[F]. The D-sequent calculus is based on operation join that forms a new D-sequent from two existing D-sequents. The new algorithm solves the quantified version of SAT. That is, given a satisfiable formula F, it, in general, does not produce an assignment satisfying F. The new algorithm is called DS-QSAT where DS stands for Dependency Sequent and Q for Quantified. Importantly, a DPLL-like procedure is only a special case of DS-QSAT where a very restricted kind of D-sequents is used. We argue that this restriction a) adversely affects scalability of SAT-solvers and b) is caused by looking for an explicit satisfying assignment rather than just proving satisfiability. We give experimental results substantiating these claims.
Year
Venue
Field
2012
CoRR
Discrete mathematics,Combinatorics,Satisfiability,Algorithm,Sequent,Mathematics,Special case,Scalability
DocType
Volume
Citations 
Journal
abs/1207.5014
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Eugene Goldberg1258.01
Panagiotis Manolios263453.62