We introduce Cardinality Networks, a new CNF encoding of cardinality constraints. It improves upon the previously existing encodings such as the sorting networks of [ES06] in that ...
Abstract. We offer a new understanding of some aspects of practical SAT-solvers that are based on DPLL with unit-clause propagation, clause-learning, and restarts. On the theoreti...
Albert Atserias, Johannes Klaus Fichte, Marc Thurl...
One of the starting points of propositional proof complexity is the seminal paper by Cook and Reckhow [6], where they defined propositional proof systems as poly-time computable f...
Default logic was introduced by Reiter in 1980. In 1992, Gottlob classified the complexity of the extension existence problem for propositional default logic as Σp 2-complete, an...
Olaf Beyersdorff, Arne Meier, Michael Thomas, Heri...
Different quantifier types in Quantified Boolean Formulae (QBF) introduce variable dependencies which have to be taken into consideration when deciding satisfiability of a QBF....
Most current propositional SAT solvers apply resolution at various stages to derive new clauses or simplify existing ones. The former happens during conflict analysis, while the l...
Minimizing learned clauses is an effective technique to reduce memory usage and also speed up solving time. It has been implemented in MINISAT since 2005 and is now adopted by mos...
Abstract. We define new encodings from Max-CSP into Partial MaxSAT which are obtained by modelling the at-most-one condition with the sequential SAT encoding of the cardinality co...
The concept of backdoor variables has been introduced as a structural property of combinatorial problems that provides insight into the surprising ability of modern satisfiability...
Bistra N. Dilkina, Carla P. Gomes, Ashish Sabharwa...