Maintaining reversible DAC for Max-CSP
Artificial Intelligence
Partition-Based Lower Bound for Max-CSP
Constraints
Directed Arc Consistency Preprocessing
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MaxSolver: an efficient exact algorithm for (weighted) maximum satisfiability
Artificial Intelligence
Improving exact algorithms for MAX-2-SAT
Annals of Mathematics and Artificial Intelligence
Study of lower bound functions for MAX-2-SAT
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
Heuristics based on unit propagation for satisfiability problems
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Resolution in Max-SAT and its relation to local consistency in weighted CSPs
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Improved exact solvers for weighted Max-SAT
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
Artificial Intelligence
A logical approach to efficient Max-SAT solving
Artificial Intelligence
Algorithms for maximum satisfiability using unsatisfiable cores
Proceedings of the conference on Design, automation and test in Europe
Transforming Inconsistent Subformulas in MaxSAT Lower Bound Computation
CP '08 Proceedings of the 14th international conference on Principles and Practice of Constraint Programming
Symmetry Breaking for Maximum Satisfiability
LPAR '08 Proceedings of the 15th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning
Exploiting Cycle Structures in Max-SAT
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Relaxed survey propagation: a sum-product algorithm for Max-SAT
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Within-problem learning for efficient lower bound computation in Max-SAT solving
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
New inference rules for Max-SAT
Journal of Artificial Intelligence Research
MINIMAXSAT: an efficient weighted max-SAT solver
Journal of Artificial Intelligence Research
A dynamic approach to MPE and weighted MAX-SAT
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Exploiting inference rules to compute lower bounds for MAX-SAT solving
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Relaxed survey propagation for the weighted maximum satisfiability problem
Journal of Artificial Intelligence Research
Partial max-SAT solvers with clause learning
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
MiniMaxSAT: a new weighted Max-SAT solver
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
On inconsistent clause-subsets for Max-SAT solving
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
Structural relaxations by variable renaming and their compilation for solving MinCostSAT
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
AI'07 Proceedings of the 20th Australian joint conference on Advances in artificial intelligence
Modelling Max-CSP as partial Max-SAT
SAT'08 Proceedings of the 11th international conference on Theory and applications of satisfiability testing
A preprocessor for Max-SAT solvers
SAT'08 Proceedings of the 11th international conference on Theory and applications of satisfiability testing
A Max-SAT inference-based pre-processing for Max-clique
SAT'08 Proceedings of the 11th international conference on Theory and applications of satisfiability testing
Resolution-based lower bounds in MaxSAT
Constraints
A complete calculus for Max-SAT
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
Optimizing with minimum satisfiability
Artificial Intelligence
A SAT-based approach to cost-sensitive temporally expressive planning
ACM Transactions on Intelligent Systems and Technology (TIST) - Special Section on Intelligent Mobile Knowledge Discovery and Management Systems and Special Issue on Social Web Mining
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Many lower bound computation methods for branch and bound Max-SAT solvers can be explained as procedures that search for disjoint inconsistent subformulas in the Max-SAT instance under consideration. The difference among them is the technique used to detect inconsistencies. In this paper, we define five new lower bound computation methods: two of them are based on detecting inconsistencies via a unit propagation procedure that propagates unit clauses using an original ordering; the other three add an additional level of forward look-ahead based on detecting failed literals. Finally, we provide empirical evidence that the new lower bounds are of better quality than the existing lower bounds, as well as that a solver with our new lower bounds greatly outperforms some of the best performing state-of-the-art Max-SAT solvers on Max-2SAT, Max-3SAT, and Max-Cut instances.