@MISC{Kadie_rationalnonmonotonic, author = {Carl Kadie Kadie}, title = {Rational Nonmonotonic Reasoning}, year = {} }
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Abstract
. Nonmonotonic reasoning is a pattern of reasoning that allows an agent to make and retract (tentative) conclusions from inconclusive evidence. This paper gives a possible-worlds interpretation of the nonmonotonic reasoning problem based on standard decision theory and the emerging probability logic. The system's central principle is that a tentative conclusion is a decision to make a bet, not an assertion of fact. The system is rational, and as sound as the proof theory of its underlying probability logic. 1 Introduction and Background The ability to make a tentative conclusion from inconclusive evidence and then retract that conclusion if discrediting evidence is later acquired is characteristic of intelligence. Many theories of nonmonotonic reasoning, default reasoning, and inductive logic try to model this behavior. But, because these theories do not fully consider the consequences and context of adopting a conclusion, they can behave irrationally. As the expression "Don't bet y...