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Proof Theory for Fuzzy Logics

Name: Proof Theory for Fuzzy Logics
Brand: Springer-Verlag New York Inc.
SKU: 01418749
Price: 139.29 EUR
Availability: InStock
Author: George Metcalfe
ISBN: 9781402094088

George Metcalfe

Nicola Olivetti

Dov M. Gabbay

Idioma

Inglés

Libro Tapa dura

Código Libristo: 01418749

Editores Springer-Verlag New York Inc., noviembre 2008

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. T... Descripción completa

Código Libristo: 01418749

341 b

139.29 €

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Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.