Argumentation semantics for steps theory of active logic with granulation time

Active logic is a conceptual system, the principles of which satisfy the reasoning formalisms, tolerant to contradictions and giving the opportunity for correlating the results of reasoning with the times. This paper suggests an approach to the construction of argumentation semantics of one of these formalisms, based on the principles of logic programming. This uses the concept of granulation time, treated as an external entity, independent of the internal structure of logic programs. The specificity of the active logic with granulation time required serious modifications to the proposed argumentation system compared with other systems of this kind currently available.