Abstract
In many-valued propositional logic systems, Let \Gamma be a finite theory, there is a question that if \Gamma is a consistency theory in n_{1}-valued logic, is it consistent in n_{2}-valued logic? In this paper, we answer this question in following three prominent many-valued propositional logic systems.i.e. \L ukasiewicz many-valued propositional logic systems L_{n}, G\"{o}del many-valued propositional logic systems G_{n}, and the R_{0}-type many-valued propositional logic systems(NM logic) \mathcal{L}^{*}_{n}. The result shows that in different logic systems the conclusion is different.