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On witnessed models in fuzzy logic
Mathematical Logic Quarterly 53 (1):66-77 (2007)
Abstract
Witnessed models of fuzzy predicate logic are models in which each quantified formula is witnessed, i.e. the truth value of a universally quantified formula is the minimum of the values of its instances and similarly for existential quantification. Systematic theory of known fuzzy logics endowed with this semantics is developed with special attention paid to problems of arithmetical complexity of sets of tautologies and of satisfiable formulas.My notes
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Citations of this work
Löwenheim–Skolem theorems for non-classical first-order algebraizable logics: Table 1.Pilar Dellunde, Àngel García-Cerdaña & Carles Noguera - 2016 - Logic Journal of the IGPL 24 (3):321-345.
On elementary equivalence in fuzzy predicate logics.Pilar Dellunde & Francesc Esteva - 2013 - Archive for Mathematical Logic 52 (1-2):1-17.
On witnessed models in fuzzy logic III - witnessed Gödel logics.Petr Häjek - 2010 - Mathematical Logic Quarterly 56 (2):171-174.
Trakhtenbrot Theorem and First-Order Axiomatic Extensions of MTL.Matteo Bianchi & Franco Montagna - 2015 - Studia Logica 103 (6):1163-1181.
Strict core fuzzy logics and quasi-witnessed models.Marco Cerami & Francesc Esteva - 2011 - Archive for Mathematical Logic 50 (5-6):625-641.
References found in this work
Three complexity problems in quantified fuzzy logic.Franco Montagna - 2001 - Studia Logica 68 (1):143-152.
On the predicate logics of continuous t-norm BL-algebras.Franco Montagna - 2005 - Archive for Mathematical Logic 44 (1):97-114.
On interplay of quantifiers in Gödel-Dummett fuzzy logics.Blanka Kozlíková & Vítězslav Švejdar - 2006 - Archive for Mathematical Logic 45 (5):569-580.
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