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Dialogue Games for Many-Valued Logics — an Overview

✍ Scribed by C. G. Fermüller


Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
336 KB
Volume
90
Category
Article
ISSN
0039-3215

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📜 SIMILAR VOLUMES


Kripke-style semantics for many-valued l
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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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Up to categorical equivalence, abelian lattice-ordered groups with strong unit coincide with Chang's MV-algebrasᎏthe Lindenbaum algebras of the infinite-valued Łukasiewicz calculus. While the property of being a strong unit is not definable even in first-order logic, MV-algebras form an equational c