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Many-valued logic: beyond algebraic semantics

✍ Scribed by Aguzzoli, Stefano; Gerla, Brunella; Marra, Vincenzo

Book ID: 118786734
Publisher: Springer
Year: 2012
Tongue: English
Weight: 125 KB
Volume: 16
Category: Article
ISSN: 1432-7643
DOI: 10.1007/s00500-012-0837-1

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📜 SIMILAR VOLUMES

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## Abstract This paper deals with Kripke‐style semantics for many‐valued logics. We introduce various types of Kripke semantics, and we connect them with algebraic semantics. As for modal logics, we relate the axioms of logics extending MTL to properties of the Kripke frames in which they are valid

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## Abstract This note contains a correct proof of the fact that the set of all first‐order formulas which are valid in all predicate Kripke frames for Hájek's many‐valued logic BL is not arithmetical. The result was claimed in [5], but the proof given there was incorrect. (© 2003 WILEY‐VCH Verlag G

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declared that he thought it would be easier to explain the atom if he could use a many-valued logic instead of the usual two-valued logic. BY a many-valued logic he meant one which denies the principle of reductio ad absurdurn. A many-valued logic states that instead of the two possibilities, in a

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Edited By Dale Jacquette. Includes Bibliographical References And Index.