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One aspect of common sense reasoning is reasoning about normal cases, e.g. a physician will first try to interpret symptoms by a common disease, and will take more exotic possibilities only later into account. Such "normality" can be encoded, e.g. bya relation, where case A is considered more normal than case B. This gives a standard semantics or interpretation to nonmonotonic reasoning (a branch of common sense reasoning), or, more formally, to nonmonotonic logics. We consider in this book the repercussions such normality relations and similar
constructions have on the resulting nonmonotonic logics, i.e. which types of logic are adequate for which kind of relation, etc.
We show in this book that some semantics correspond nicely to some logics, but also that other semantics do not correspond to any logics of the usual form.
Key features:
· provides a coherent picture of several formalisms of nonmonotonic logics.
· gives completeness and incompleteness results for many variants of preferential, distance based, and other semantics.
· gives probably the first systematic investigation of definability preservation and its consequences.
· gives new proof techniques for completeness results.
· is centered on semantics less
Elsevier Science; September 2004
469 pages; ISBN 9780080502199
Read online, or download in secure PDF format
469 pages; ISBN 9780080502199
Read online, or download in secure PDF format
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ISBNs
0080502199
9780080502199
9780444517890