lack of syntax for specifying intended discourse presupposition

[greenTara]

The semantics introduces the notion of discourse presupposition as a way of "indexing" the entailment relation. However, there is no standard way to associate an intended discourse presupposition (e.g. single-universe) to a text (e.g. embedding this as a statement, or annotating the text through some wrapper)

[fabianneuhaus]

It seems to me that discourse presuppositions will normally be associated with a dialect. Thus, if we consider to annotate the text shouldn't we annotate it with the dialect as well?