Equivalential fragment of the infinite valued logic of Lukasiewicz and the intermediate logics
Abstract
It is obvious that the equivalential fragment of the innite-valued logic of Lukasiewicz is contained in the equivalential fragment of the clas- sical propositional logic. From the results of Kanzinski [2] it is follows that L$ 1 is also contained in the equivalential fragment of the intermediate logic LC3 determined by the pseudo-Boolean algebra of the three-element chain. In this paper we shall prove the following