On witnessed models in fuzzy logic II

Mathematical Logic Quarterly 53 (6):610-615 (2007)
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Abstract

First the expansion of the Łukasiewicz logic by the unary connectives of dividing by any natural number is studied; it is shown that in the predicate case the expansion is conservative w.r.t. witnessed standard 1-tautologies. This result is used to prove that the set of witnessed standard 1-tautologies of the predicate product logic is Π2-hard

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10.1002/malq.200710019

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Citations of this work

Arithmetical complexity of fuzzy predicate logics — A survey II.Petr Hájek - 2010 - Annals of Pure and Applied Logic 161 (2):212-219.
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.
Strict core fuzzy logics and quasi-witnessed models.Marco Cerami & Francesc Esteva - 2011 - Archive for Mathematical Logic 50 (5-6):625-641.

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Fuzzy logic and arithmetical hierarchy III.Petr Hájek - 2001 - Studia Logica 68 (1):129-142.

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