The well-founded semantics for general logic programs
Journal of the ACM (JACM)
Disjunctive stable models: unfounded sets, fixpoint semantics, and computation
Information and Computation
Extending and implementing the stable model semantics
Artificial Intelligence
Knowledge Representation, Reasoning, and Declarative Problem Solving
Knowledge Representation, Reasoning, and Declarative Problem Solving
Weight constraints as nested expressions
Theory and Practice of Logic Programming
Unrestricted vs restricted cut in a tableau method for Boolean circuits
Annals of Mathematics and Artificial Intelligence
The DLV system for knowledge representation and reasoning
ACM Transactions on Computational Logic (TOCL)
Properties of programs with monotone and convex constraints
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 2
Towards understanding and harnessing the potential of clause learning
Journal of Artificial Intelligence Research
Conflict-driven answer set solving
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Tableau calculi for answer set programming
ICLP'06 Proceedings of the 22nd international conference on Logic Programming
On the Continuity of Gelfond-Lifschitz Operator and Other Applications of Proof-Theory in ASP
ICLP '08 Proceedings of the 24th International Conference on Logic Programming
Extended asp tableaux and rule redundancy in normal logic programs1
Theory and Practice of Logic Programming
On the relation among answer set solvers
Annals of Mathematics and Artificial Intelligence
Tableau Calculi for Logic Programs under Answer Set Semantics
ACM Transactions on Computational Logic (TOCL)
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We provide a general and modular framework for describing inferences in Answer Set Programming (ASP) that aims at an easy incorporation of additional language constructs. To this end, we generalize previous work characterizing computations in ASP by means of tableau methods. We start with a very basic core fragment in which rule heads and bodies consist of atomic literals.We then gradually extend this setting by focusing on the concept of an aggregate, understood as an operation on a collection of entities. We exemplify our framework by applying it to conjunctions in rule bodies, cardinality constraints as used in smodels, and finally to disjunctions in rule heads.