Enhancement schemes for constraint processing: backjumping, learning, and cutset decomposition
Artificial Intelligence
GRASP—a new search algorithm for satisfiability
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
A machine program for theorem-proving
Communications of the ACM
Chaff: engineering an efficient SAT solver
Proceedings of the 38th annual Design Automation Conference
Dependent and Independent Variables in Propositional Satisfiability
JELIA '02 Proceedings of the European Conference on Logics in Artificial Intelligence
Shatter: efficient symmetry-breaking for boolean satisfiability
Proceedings of the 40th annual Design Automation Conference
Inference methods for a pseudo-boolean satisfiability solver
Eighteenth national conference on Artificial intelligence
Equivalent literal propagation in the DLL procedure
Discrete Applied Mathematics - The renesse issue on satisfiability
A Circuit SAT Solver With Signal Correlation Guided Learning
DATE '03 Proceedings of the conference on Design, Automation and Test in Europe - Volume 1
Hidden Structure in Unsatisfiable Random 3-SAT: An Empirical Study
ICTAI '04 Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence
Annals of Mathematics and Artificial Intelligence
Survey propagation: An algorithm for satisfiability
Random Structures & Algorithms
Computing Horn Strong Backdoor Sets Thanks to Local Search
ICTAI '06 Proceedings of the 18th IEEE International Conference on Tools with Artificial Intelligence
Backbones and backdoors in satisfiability
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 3
Backdoors to typical case complexity
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
A simplifier for propositional formulas with many binary clauses
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
A lightweight component caching scheme for satisfiability solvers
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
A new method for solving hard satisfiability problems
AAAI'92 Proceedings of the tenth national conference on Artificial intelligence
Automatic extraction of functional dependencies
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
Effective preprocessing in SAT through variable and clause elimination
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
DPvis: a tool to visualize the structure of SAT instances
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
An improved satisfiable SAT generator based on random subgraph isomorphism
Canadian AI'11 Proceedings of the 24th Canadian conference on Advances in artificial intelligence
Hi-index | 0.00 |
In this paper a new graph based representation of Boolean formulas in conjunctive normal form (CNF) is proposed. It extends the well-known graph representation of binary CNF formulas (2-SAT) to the general case. Every clause is represented as a set of (conditional) implications and encoded with different edges labeled with a set of literals, called context. This representation admits many interesting features. For example, a path from the node labeled with a literal @?x to the node labeled with a literal x gives us an original way to compute the condition under which the literal x is implied. Using this representation, we show that classical resolution can be reformulated as a transitive closure on the generated graph. Interestingly enough, using the SAT graph-based representation three original applications are then derived. The first one deals with the 2-SAT strong backdoor set computation problem, whereas in the second one the underlying representation is used to derive hard SAT instances with respect to the state-of-the-art satisfiability solvers. Finally, a new preprocessing technique of CNF formulas which extends the well-known hyper-resolution rule is proposed. Experimental results show interesting improvements on many classes of SAT instances taken from the last SAT competitions.