Definability and Quantifier Elimination for J 3-theories |
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Authors: | Ítala M. L. D'Ottaviano |
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Affiliation: | (1) Institute of Mathematics, Statistics and Computer Sciences, State University of Campinas, Campinas, Brazil |
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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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