We think that, just like in standard approaches to semantics and discourse (Kamp and Reyle 1993;Ginzburg 2012), and as also recently advocated by McNally and Boleda (to appear), meaning in DS must be modeled in dynamic terms, that is, by considering how each utterance affects shared informational content as a coherent discourse unfolds.
we assume that part of the meaning of a linguistic expression is given by a probability distribution over possible linguistic expressions that might follow.