Foundations of a functional approach to knowledge representation.
Artificial Intelligence
The interaction with incomplete knowledge bases: a formal treatment
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 1
Semantical considerations on nonmonotonic logic
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 1
A guide to the modal logics of knowledge and belief: preliminary draft
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
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Current approaches to formalizing nonmonotonic reasoning using logics of belief require new metalogical properties over sets of sentences to be defined. This research attempts to show how some of these patterns of reasoning can be captured using only the classical notions of logic (satisfiability, validity, implication). This is done by extending a logic of belief so that it is possible to say that only a certain proposition (or finite set of them) is believed. This research also extends previous approaches to handle quantifiers and equality, provides a semantic account of certain types of non-monotonicity, and through a simple proof theory, allows formal derivations to be generated.