Exploiting Inference Rules to Compute Lower Bounds for MAX-SAT Solving

View/ Open
File version
Version of Record (VoR)
Author(s)
Lin, Han
Su, Kaile
Griffith University Author(s)
Year published
2007
Metadata
Show full item recordAbstract
In this paper we present a general logical framework for (weighted) MAX-SAT problem, and study properties of inference rules for branch and bound MAX-SAT solver. Several rules, which are not equivalent but ?-equivalent, are proposed, and we show that ?-equivalent rules are also sound. As an example, we show how to exploit inference rules to achieve a new lower bound function for a MAX-2-SAT solver. Our new function is admissible and consistently better than the well-known lower bound function. Based on the study of inference rules, we implement an efficient solver and the experimental results demonstrate that our solver ...
View more >In this paper we present a general logical framework for (weighted) MAX-SAT problem, and study properties of inference rules for branch and bound MAX-SAT solver. Several rules, which are not equivalent but ?-equivalent, are proposed, and we show that ?-equivalent rules are also sound. As an example, we show how to exploit inference rules to achieve a new lower bound function for a MAX-2-SAT solver. Our new function is admissible and consistently better than the well-known lower bound function. Based on the study of inference rules, we implement an efficient solver and the experimental results demonstrate that our solver outperforms the most efficient solver that has been implemented very recently [Heras and Larrosa, 2006], especially for large instances.
View less >
View more >In this paper we present a general logical framework for (weighted) MAX-SAT problem, and study properties of inference rules for branch and bound MAX-SAT solver. Several rules, which are not equivalent but ?-equivalent, are proposed, and we show that ?-equivalent rules are also sound. As an example, we show how to exploit inference rules to achieve a new lower bound function for a MAX-2-SAT solver. Our new function is admissible and consistently better than the well-known lower bound function. Based on the study of inference rules, we implement an efficient solver and the experimental results demonstrate that our solver outperforms the most efficient solver that has been implemented very recently [Heras and Larrosa, 2006], especially for large instances.
View less >
Conference Title
IJCAI-07
Publisher URI
Copyright Statement
© 2007 International Joint Conference on Artificial Intelligence. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the Conference's website for access to the definitive, published version.