Abstract
ABSTRACT In an unpublished paper(see [9]), we prove the equivalence between validity in 3L-models and algebraic validity in 3-valued Lukasiewicz algebras. R. Cignoli and M. Sagastume de Gallego present in [4] an intrinsic definition of the operators s, for i = 1,…,4 of a 5-valued Lukasiewicz algebra. The aim of the present work is to study those operators in g-Kripke models context and to generalize the result obtained for 3L-models in [9] by proving that there exist g-Kripke models appropriate for 5-valued Lukasiewicz propositional calculus (see theorem 3.6). As a corollary, we find the models for 4 and 3-valued Lukasiewicz propositional calculi.
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