An algebraic structured model of formal knowledge representations (frames and rules)

This paper outlines a structuring and integration of two formalisms of knowledge representation: FRAMES AND RULES. The procedure is based on the concepts of these formalisms. For that, an Abelian Group Structure is obtained defining a particular internal operation on the set of FRAMES. Then two operations in the set of RULES are defined. These operations are based on the logical conjunctions as well as logical disjunctions. Fulfilling that the Rules with these defined operations are a Field. Finally an external operation of the set of Rules by the set of frames in the set of frames is defined by verifying the properties of Vectorial Space.