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Definability and Quantifier Elimination for J 3-theories
Authors:Ítala M. L. D'Ottaviano
Affiliation:(1) Institute of Mathematics, Statistics and Computer Sciences, State University of Campinas, Campinas, Brazil
Abstract:The Joint Non-Trivialization Theorem, two Definability Theorems and the generalized Quantifier Elimination Theorem are proved for J3-theories. These theories are three-valued with more than one distinguished truth-value, reflect certain aspects of model type logics and can. be paraconsistent. J3-theories were introduced in the author's doctoral dissertation.
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