Proof Theory for Fuzzy Logics

George Metcalfe, Nicola Olivetti, Dov M. Gabbay (Autoren)

Buch | Softcover

276 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2009
Springer (Verlag)
978-90-481-8121-6 (ISBN)

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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.

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

Erscheint lt. Verlag	22.10.2010
Reihe/Serie	Applied Logic Series ; 36
Zusatzinfo	VIII, 276 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	90-481-8121-6 / 9048181216
ISBN-13	978-90-481-8121-6 / 9789048181216
Zustand	Neuware