| Dewey Class |
511.313 |
| Titel |
Proof Theory for Fuzzy Logics (EB) / by George Metcalfe, Nicola Olivetti, Dov Gabbay. |
| Verfasser |
Metcalfe, George |
| Added Personal Name |
Olivetti, Nicola |
| Gabbay, Dov |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Dordrecht : Springer Netherlands , 2009. |
| Physical Details |
viii, 276 pages : online resource. |
| Reihe |
Applied Logic Series 1386-2790 ; ; 36 |
| ISBN |
9781402094095 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-1-4020-9409-5 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebra .
Artificial intelligence .
Artificial Intelligence (incl. Robotics) .
Fuzzy logic .
Logic .
Logic, Symbolic and mathematical .
Mathematical Logic and Foundations .
Order, Lattices, Ordered Algebraic Structures .
Proof theory .
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