Proof Theory for Fuzzy Logics - George Metcalfe, Nicola Olivetti, Dov M. Gabbay

Proof Theory for Fuzzy Logics

Buch | Softcover
276 Seiten
2010 | Softcover reprint of hardcover 1st ed. 2009
Springer (Verlag)
978-90-481-8121-6 (ISBN)
128,39 inkl. MwSt
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
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Eine kurze Geschichte der Informationsnetzwerke von der Steinzeit bis …

von Yuval Noah Harari

Buch | Hardcover (2024)
Penguin (Verlag)
28,00