Abstract

FERNANDEZ, Víctor  and  MURCIANO, Carina. Discriminant Structures Associated to Matrix Semantics. Rev.colomb.mat. [online]. 2018, vol.52, n.2, pp.185-209. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v52n2.77158.

In this paper we show a method to characterize logical matrices by means of a special kind of structures, called here discriminant structures for this purpose. Its definition is based on the discrimination of each truthvalue of a given (finite) matrix M = (A, D), w.r.t. its belonging to D. From this starting point, we define a whole class S M of discriminant structures. This class is characterized by a set of Boolean equations, as it is shown here. In addition, several technical results are presented, and it is emphasized the relation of the Discriminant Structures Semantics (D.S.S) with other related semantics such as Dyadic or Twist-Structure.

Keywords : Matrix Logic; n-valued logics; Discriminant Structures.

        · abstract in Spanish     · text in English     · English ( pdf )