Proof Theory for Fuzzy Logics / Edition 1

Proof Theory for Fuzzy Logics / Edition 1

by George Metcalfe, Nicola Olivetti, Dov M. Gabbay
     
 

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ISBN-10: 9048181216

ISBN-13: 9789048181216

Pub. Date: 12/14/2010

Publisher: Springer Netherlands

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

Overview

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.

Product Details

ISBN-13:
9789048181216
Publisher:
Springer Netherlands
Publication date:
12/14/2010
Series:
Applied Logic Series, #36
Edition description:
Softcover reprint of hardcover 1st ed. 2009
Pages:
276
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

The Semantic Basis.- Hilbert Systems.- Gentzen Systems.- Syntactic Eliminations.- Fundamental Logics.- Uniformity and Efficiency.- First-Order Logics.- Further Topics.

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