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Nonmonotonic reasoning, nonmonotonic logics and reasoning about change
Artificial Intelligence Review, 1990In this paper we introduce nonmonotonic reasoning and the attempts at formalizing it using nonmonotonic logics. We examine and compare the best known of these. Despite the difference in motivation and technical construction there are strong similarities between these logics which are confirmed when they are finally shown to have a common basis. Finally
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Nonmonotonic logics serve as formal models of defeasible reasoning, a type of reasoning where conclusions are drawn absent absolute certainty. Defeasible reasoning takes place when scientists interpret experiments, in medical diagnosis, and in practical everyday situations.
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A Nonmonotonic Logic of Belief
Fundamenta Informaticae, 1989A nonmonotonic logic of belief based on a combined monotonic logic of knowledge and belief is presented. Unlike previous nonmonotonic logics of belief, this logic contains an unless operator by means of which preference for beliefs and refutation of those beliefs can be expressed, thereby providing explicit representation of nonmonotonicity. A decision
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Nonmonotonic reasoning and logic programs
2005The present paper is concerned with a unifying approach to non-monotonic reasoning in clause logic programming. An outline of a general theory of non-monotonic reasoning is given that is aimed at a foundation of this area. Typical results are presented in the frame of this theory and problems related to logic programming are discussed.
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Bridges between Classical and Nonmonotonic Logic
Logic Journal of IGPL, 2003In this interesting paper, three methods of extending classical propositional logic, without changing the language or loss of monotonicity, are described. The first method consists in using additional background assumptions. The idea of the second one is to restrict valuations considered possible. The third method uses additional background rules.
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Hardware Implementation of Temporal Nonmonotonic Logics
2006In order to apply nonmonotonic logics for specifying industrial automation controllers, we define (1) a method to extend atemporal nonmonotonic logics with temporal operators and (2) a mapping of these new temporal nonmonotonic logics into a Metric Temporal Logic.
Insu Song, Guido Governatori
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Fixed points in the propositional nonmonotonic logic
Artificial Intelligence, 1989An explicit description of fixed points for propositional theories in the nonmonotonic logic introduced by \textit{D. McDermott} and \textit{J. Doyle} [ibid. 13, 41-72 (1980; Zbl 0435.68074)] is given. Some preliminary results concerning the admissibility of a certain set of formulas are presented. From previously proved results, the convergence of the
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Embedding a Default System into Nonmonotonic Logics
Fundamenta Informaticae, 1991An embedding of minimal sets for default theories into nonmonotonic and nonmonotonic ground logics based on S4 and S5 is presented.
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Logics for Nonmonotonic Reasoning
1997This chapter gives an overview of various existing formalizations of non-monotonic reasoning.1 To start with, it may be useful to derive from the previous chapter two basic motivations for using nonmonotonic forms of reasoning. The first is common to all domains of common-sense reasoning.
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