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Titlebook: Nonmonotonic and Inductive Logic; 1st International Wo J. Dix,K. P. Jantke,P. H. Schmitt Conference proceedings 1991 Springer-Verlag Berlin

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Conference proceedings 1991n up-to-date view ofthe current state of researchpresented by leading experts in the field. Anovelty in thecontributions from the area of inductive logic istheanalysis of nonmonotonicity in the theory of inductivelearning.
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Cumulative inference relations for JTMS and logic programming, their acceptance..However, as we finally show, the indexed JTMS still has a shortcoming: it does not give an adequate treatment of the phenomenon of ”floating conclusions”. The problem of finding an alternative aproach that handles floating conclusions adequately without losing cumulativity again, remains open.
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Supracompact inference operations,that C may enjoy, like monotonicity or distributivity. The main part of the paper concerns distributive supracompact operations. We prove that such operations satisfy a simple functional equation, and that there exists a representation theorem which provides a semantic characterization of this family of operations.
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Cumulativity and rationality in semantics of normal logic programs,mantics WFS are. They actually satisfy a further property, namely ...While . GWFS, an extension of WFS, handles ., it is not cumulative. We define another extension of WFS which handles some sort of . and still is cumulative but not rational: this may be seen as an attempt to solve a problem recently raised by Makinson, Brewka and Schlechta.
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On generation of cumulative inference operators by default deduction rules,tion rules so that the generated inference operator is cumulative..Some other methods to generate inference operators by default deduction rules, similiar to the “generating philosophy” used, are described in the last section.
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A thesis in inductive inference,lving the development of the theory of inductive inference during the last decade. Problems of further investigation as well as further applications of non-Gödel numberings in inductive inference are summarized.
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