Logic programs with stable model semantics as a constraint programming paradigm
Annals of Mathematics and Artificial Intelligence
Ultimate Well-Founded and Stable Semantics for Logic Programs with Aggregates
Proceedings of the 17th International Conference on Logic Programming
ASSAT: computing answer sets of a logic program by SAT solvers
Artificial Intelligence - Special issue on nonmonotonic reasoning
A Constructive semantic characterization of aggregates in answer set programming
Theory and Practice of Logic Programming
Logic programs with abstract constraint atoms
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
A generalized gelfond-lifschitz transformation for logic programs with abstract constraints
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Properties and applications of programs with monotone and convex constraints
Journal of Artificial Intelligence Research
Answer sets for logic programs with arbitrary abstract constraint atoms
Journal of Artificial Intelligence Research
A fast and simple algorithm for bounds consistency of the all different constraint
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
A fast pseudo-Boolean constraint solver
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
On Reductive Semantics of Aggregates in Answer Set Programming
LPNMR '09 Proceedings of the 10th International Conference on Logic Programming and Nonmonotonic Reasoning
Weight Constraint Programs with Functions
LPNMR '09 Proceedings of the 10th International Conference on Logic Programming and Nonmonotonic Reasoning
Level Mapping Induced Loop Formulas for Weight Constraint and Aggregate Programs
LPNMR '09 Proceedings of the 10th International Conference on Logic Programming and Nonmonotonic Reasoning
Level Mapping Induced Loop Formulas for Weight Constraint and Aggregate Logic Programs
Fundamenta Informaticae
Level Mapping Induced Loop Formulas for Weight Constraint and Aggregate Logic Programs
Fundamenta Informaticae
Strong equivalence of logic programs with abstract constraint atoms
LPNMR'11 Proceedings of the 11th international conference on Logic programming and nonmonotonic reasoning
Weight constraint programs with evaluable functions
Annals of Mathematics and Artificial Intelligence
The loop formula based semantics of description logic programs
Theoretical Computer Science
On elementary loops of logic programs
Theory and Practice of Logic Programming
First-order stable model semantics and first-order loop formulas
Journal of Artificial Intelligence Research
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We formulate loop formulas for logic programs with arbitrary constraint atoms, for the semantics based on conditional satisfaction. This provides a method for answer set computation by computing models of completion. One particular attractive candidate for the latter task is pseudo-boolean constraint solvers. To strengthen this connection, we show examples of compact encoding of aggregates and global constraints by pseudo-boolean constraints.