In general, it is argued that the use of the artifact as a mediation for the mobilization of the programming language allows algebraic abduction processes that configure a community-machine actant associated with a generality in the operation of indeterminate objects within the algebraic expressions that are evidenced in computational analytics processes, in order to deduce a formula that describes the relationships found in the sequences, which leads us to think that the introduction of the artifact generates variations in the ways of thinking algebraically and reveals a transformation in the updating processes of knowledge.