Semantical considerations on nonmonotonic logic
Artificial Intelligence
Artificial Intelligence
Readings in nonmonotonic reasoning
Readings in nonmonotonic reasoning
Possible-world semantics for autoepistemic logic
Readings in nonmonotonic reasoning
All I know: a study in autoepistemic logic
Artificial Intelligence
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Theoretical foundations for non-monotonic reasoning in expert systems
Logics and models of concurrent systems
What does a conditional knowledge base entail?
Proceedings of the first international conference on Principles of knowledge representation and reasoning
Relations between the logic of theory change and nonmonotonic logic
Proceedings of the Workshop on The Logic of Theory Change
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This paper is an attempt to articulate and respond to a philosophical problem about the general idea of a nonmonotonic consequence relation. The problem concerns the clarification of the target notion that various particular nonmonotonic theories, both model-theoretic and proof- theoretic, are attempting to explicate. Two different general conceptions are contrasted. The first is based on an idea of implicit content. According to this idea, a semantic interpretation assigns to the sentences of a language an explicit content in the usual way, and also an implicit content as a function of the explicit content, ψ is a nonmonotonic consequence of &phgr; if ψ is a consequence in the classical sense of the implicit content of the implicit content of &phgr;. On this interpretation, nonmonotonic consequence is a deductive relation. According to the second idea, nonmonotonic reasoning concerns belief revision; to say that ψ is a nonmonotonic .consequence of &phgr; is to say that ψ should be accepted in a belief state that is revised to accommodate the acceptance of &phgr;. Some specific nonmonotonic theories, and some principles of nonmonotonic consequence, are considered from these two points of view.