This topic refers to the course Dialogical logic, old and new (McConaughey). Here is a description and a bibliography for addressing it.
K. Lorenz, "Meaning postulates and rules of argumentation: remarks concerning the pragmatic tie between meaning (of terms) and truth (of propositions)", in Logic, language and method on polarities in human experience: philosophical papers, De Gruyter, 2010, pp. 71-80 [albeit short, this is paper is challenging. It deals with the philosophical foundations of dialogical logic, as compared to model theory and argumentation theory. The purpose of the paper is two highlight two presuppositions non-dialogical logics take for granted and are not aware of]
H. Rückert, "Why dialogical logic?", in H. Wansing (ed.), Essays on non-classical logic, Advances in Logic, vol. 1, 2001, pp. 165-185 [this paper presents the dialogical framework in the Lorenzen and Lorenz tradition. It highlights in a clear manner important principles behind this framework and stresses its usefulness for a pluralist approach, sketching out free logic, paraconsistent logic, modal logic, relevance logic, and their combinations, all within the dialogical framework]