The appropiate definition of argumentative reasoning systems requires a careful study of the dialectical analyses that are carried out in these formalisms. In thiswork we present a research line that points to the correct definition of such dialectical analyses. These dialectical analyses must be accomplished correctly, guided by proper criteria in order to prevent the construction of fallacious or ill formed argumentation lines. In this context, we analyze the definition of acceptable argumentation line in DELP and propose a revised version.