 In the 1990s and the 2000s, the original ideas of the dialogical approach were developed by Shahid Rahman and collaborators into a conceptual framework that proved useful for studying, comparing and even combining non-classical logics (Rückert 2011). These developments led to dialogical pluralism (see in particular Rahman &amp; Keiff 2005 and Keiff 2007). In a nutshell, this pluralism studies the semantic and logical consequences of modifying the structural rules or extending the set of logical constants. The general idea is that different logics involve different ways to deal with information in (sub)plays (a subplay is simply a sequence of moves within a play; this notion is particularly useful when comparing plays which have a common initial segment but differ in two different subplays resulting from a player’s choice). The task is then to determine what information gets transferred from one play to another and how this transfer operates. Two general cases may be distinguished: