Abstract. We investigate the possibility of giving a computational interpretation of an involutive negation in classical natural deduction. We first show why this cannot be simply ...
IMTL logic was introduced in [12] as a generalization of the infinitely-valued logic of Lukasiewicz, and in [11] it was proved to be the logic of left-continuous t-norms with an i...
In this paper we investigate the addition of arbitrary independent involutive negations to t-norm based logics. We deal with several extensions of MTL and establish general comple...
Let C be the propositional calculus given by a standard SBL-algebra; C is obtained from C by adding an involutive negation, with axioms and deduction rules as in [4]. Then C i...