 Finally, it has to be mentioned that the discourse relations that for Asher and Lascarides belong to the ‘glue logic’ can alternatively be conceived of as part of the grammar proper: Lepore &amp; Stone (2015), for example, incorporate conventions into minimalistically understood, grammar-driven semantics, and a fortiori into grammar proper; following Lewis’s (1979) ideas on convention and ‘scorekeeping’, they propose that “semantics describes interlocutors’ social competence in coordinating on the conversational record” (Lepore &amp; Stone 2015: 256). Merits of putting conventions into grammar are, however, not easy to find (for a review see Jaszczolt 2016b).