Proof Theory for Fuzzy Logics
by:
George Metcalfe - Nicola Olivetti - Dov M. Gabbay
Proof Theory for Fuzzy Logics
by
George Metcalfe - Nicola Olivetti - Dov M. Gabbay
This accessible and up-to-date introduction to fuzzy logics focuses on the development and applications of "proof theoretic" presentations of fuzzy logics, including more than ten years of intensive work by researchers in that area.
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Complete description
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.
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General info
Publisher & Imprint:
Springer
Edition details
1st ed. Softcover of orig. ed. 2009
City:
Dordrecht
Pages:
286
More info:
height 234 mm
width 156 mm
weight 405 gr
thickness 15 mm
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Age recommended:
Professional and scholarly
Subject Indexing & Classification
Dewey:(DC21) 511.313
Departments:
Mathematical foundations; Algebra;
Record updated at:
09 May, 2013
time:
20:06
Summary
Proof Theory for Fuzzy Logics
1. Introduction.- 2. The Semantic Basis.- 3. Hilbert Systems.- 4. Gentzen Systems.- 5. Syntactic Eliminations.- 6. Fundamental Logics.- 7. Uniformity and Efficiency.- 8. First-Order Logics.- 9. Further Topics.- References.- Index.
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