Semantical considerations on nonmonotonic logic
Artificial Intelligence
Logics of time and computation
Logics of time and computation
Journal of the ACM (JACM)
Modal nonmonotonic logics: ranges, characterization, computation
Journal of the ACM (JACM)
Fundamenta Informaticae - Special issue on modal logics in knowledge representation
A note on non-monotonic modal logic
Artificial Intelligence
Minimal knowledge problem: a new approach
Artificial Intelligence
Handbook of logic in artificial intelligence and logic programming (vol. 1)
Handbook of logic in artificial intelligence and logic programming (vol. 1)
In search of a “true” logic of knowledge: the nonmonotonic perspective
Artificial Intelligence
Nonmonotonic Logic II: Nonmonotonic Modal Theories
Journal of the ACM (JACM)
Modal logic
Nonmonotonic Logic: Context-Dependent Reasoning
Nonmonotonic Logic: Context-Dependent Reasoning
Dynamic Logic
TARK '90 Proceedings of the 3rd conference on Theoretical aspects of reasoning about knowledge
JELIA'10 Proceedings of the 12th European conference on Logics in artificial intelligence
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An important question in modal nonmonotonic logics concerns the limits of propositional definability for logics of the McDermott-Doyle family. Inspired by this technical question we define a variant of autoepistemic logic which provably corresponds to the logic of the McDermott-Doyle family that is based on themodal axiom p5: ◊ϕ⊃ (¬□ϕ⊃□¬□ϕ). This axiomis a naturalweakening of classical negative introspection restricting its scope to possible facts. It closely resembles the axiom w5: ϕ⊃ (¬□ϕ⊃□¬□ϕ) which restricts the effect of negative introspection to true facts. We examine p5 in the context of classical possible-worlds Kripke models, providing results for correspondence, completeness and the finite model property. We also identify the corresponding condition for p5 in the context of neighbourhood semantics. Although rather natural epistemically, this axiom has not been investigated in classical modal epistemic reasoning, probably because its addition to S4 gives the well-known strong modal system S5.