The well-founded semantics for general logic programs
Journal of the ACM (JACM)
Complexity and expressive power of logic programming
ACM Computing Surveys (CSUR)
Nested expressions in logic programs
Annals of Mathematics and Artificial Intelligence
The description logic handbook: theory, implementation, and applications
The description logic handbook: theory, implementation, and applications
Ultimate approximation and its application in nonmonotonic knowledge representation systems
Information and Computation
A Constructive semantic characterization of aggregates in answer set programming
Theory and Practice of Logic Programming
Well-founded and stable semantics of logic programs with aggregates
Theory and Practice of Logic Programming
Combining answer set programming with description logics for the Semantic Web
Artificial Intelligence
Twelve Definitions of a Stable Model
ICLP '08 Proceedings of the 24th International Conference on Logic Programming
Lparse Programs Revisited: Semantics and Representation of Aggregates
ICLP '08 Proceedings of the 24th International Conference on Logic Programming
A Default Approach to Semantics of Logic Programs with Constraint Atoms
LPNMR '09 Proceedings of the 10th International Conference on Logic Programming and Nonmonotonic Reasoning
Answer sets for logic programs with arbitrary abstract constraint atoms
Journal of Artificial Intelligence Research
Modal interpretations of default logic
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
A uniform integration of higher-order reasoning and external evaluations in answer-set programming
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Declarative and computational properties of logic programs with aggregates
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Logic programs with abstract constraints: representaton, disjunction and complexities
LPNMR'07 Proceedings of the 9th international conference on Logic programming and nonmonotonic reasoning
dl2asp: implementing default logic via answer set programming
JELIA'10 Proceedings of the 12th European conference on Logics in artificial intelligence
Stable models and circumscription
Artificial Intelligence
Semantics and complexity of recursive aggregates in answer set programming
Artificial Intelligence
Answer sets for propositional theories
LPNMR'05 Proceedings of the 8th international conference on Logic Programming and Nonmonotonic Reasoning
First-order extension of the FLP stable model semantics via modified circumscription
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Well-supported semantics for description logic programs
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
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Logic programming under the stable model semantics has been extended to arbitrary formulas. A question of interest is how to characterize the property of well-supportedness, in the sense of Fages, which has been considered a cornerstone in answer set programming. In this paper, we address this issue by considering general logic programs, which consist of disjunctive rules with arbitrary propositional formulas in rule bodies. We define the justified stable semantics for these programs, propose a general notion of well-supportedness, and show the relationships between the two. We address the issue of computational complexity for various classes of general programs. Finally, we show that previously proposed well-supported semantics for aggregate programs and description logic programs are rooted in the justified stable semantics of general programs.