 For some, the blurry boundaries between the sorts of inferences that are covered by presupposition theories have opened up the door for new triggers and presupposition-like things that might not be covered by traditional labels. For example, Schlenker (2015, 2018) applies a presuppositional framework to iconic co-speech gestures, to identify what he calls "cosuppositions." There are also inferences that seem to challenge traditional diagnostics like projection. For instance, non-restrictive relative clauses ("Fred, who I like, ...") produce projection like presuppositions, but typically introduce new information to the discourse (Chierchia &amp; McConnell-Ginet 1990).