Foundations of logic programming
Foundations of logic programming
Semantical considerations on nonmonotonic logic
Artificial Intelligence
Handbook of theoretical computer science (vol. B)
Handbook of logic in artificial intelligence and logic programming (vol. 3)
Foundations of logic programming
Principles of knowledge representation
Sequent calculi for propositional nonmonotonic logics
ACM Transactions on Computational Logic (TOCL)
Logic for Applications
Nonmonotonic Logic: Context-Dependent Reasoning
Nonmonotonic Logic: Context-Dependent Reasoning
Nonmonotonic logic: a monotonic approach
Nonmonotonic logic: a monotonic approach
Reasoning with infinite stable models
Artificial Intelligence
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
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Sequent calculi for skeptical consequence in predicate default logic, predicate stable model logic programming, and infinite autoepistemic theories are presented and proved sound and complete. While skeptical consequence is decidable in the finite propositional case of all three formalisms, the move to predicate or infinite theories increases the complexity of skeptical reasoning to being 驴11-complete. This implies the need for sequent rules with countably many premises, and such rules are employed.