Propagation = Lazy Clause Generation

Finite domain propagation solvers effectively represent the possible values of variables by a set of choices which can be naturally modelled as Boolean variables. In this paper we describe how we can mimic a finite domain propagation engine, by mapping propagators into clauses in a SAT solver. This immediately results in strong nogoods for finite domain propagation. But a naive static translation is impractical except in limited cases. We show how we can convert propagators to lazy clause generators for a SAT solver. The resulting system can solve scheduling problems significantly faster than generating the clauses from scratch, or using Satisfiability Modulo Theories solvers with difference logic.

• Type: Conference
• Year: 2007
• Where: CP
• Authors: Olga Ohrimenko, Peter J. Stuckey, Michael Codish
• Keywords: CP 2007, Domain Propagation, Domain Propagation Solvers, Programming Languages, finite Domain Propagation