Deliberative reasoning is widely used in various fields of human activity. In the modern information society, the use of methods of deliberative argumentation is associated with the development and use of appropriate application software, which is intended for visualization and modeling of intellectual activity to solve various types of practical problems, as well as argumentation. At the same time, various software designed for modeling and representation of argumentation explicitly or implicitly contains its conceptual grounds for argumentation. In this study, based on the identification of software intended for the simulation of deliberative reasoning, analysis of its purpose and main functions, the conceptual foundations of their functioning are determined, which is the initial stage for the formulation of a body of criteria for evaluating this software and its subsequent classification. The authors propose two preliminary independent classifications based on conceptual grounds, which are significant characteristics for the classification of the corresponding software.