The Mathematics of Text Structure
arxiv.org
arxiv.org
The DisCoCat examples look like another riff on categorial grammar [1], which is not too adequate for languages with the concept of noun case.
""" Around 2004 I was giving a talk at the McGill category Theory seminar about our then new diagrammatic description of quantum teleportation. Lambek immediately pointed out: “Those are pre-groups!” The compact closed category-theory underpinning of quantum theory, have indeed pregroups as the posetal instance. It was this connection, between grammar and teleportation diagrams, that inspired the DisCoCat model, making it look as if word-meaning being teleported around in sentences by means of the channels provided by the pregroup grammar """
In this case, could you even know which one was actually meant?
Technically, I'd think that the ambiguity is removed when you use "rabbit-chasing dog", but that is assuming the text available is sufficiently precise.
I'd like a giant string diagram representing the meaning of the paper, not the paper.