A tempting paper in math linguistics

russhatter showed me a very tempting paper in mathematical linguistics (in the comments to the previous post). I don't understand it well enough (yet) to say whether I like it. It does use monoidal categories to achieve its goals.

Perhaps someone would want to comment on this, or would find the reference interesting.

http://arxiv.org/abs/1003.4394

"Mathematical Foundations for a Compositional Distributional Model of Meaning
Authors: Bob Coecke, Mehrnoosh Sadrzadeh, Stephen Clark
(Submitted on 23 Mar 2010)

Abstract: We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, for which we rely on the algebra of Pregroups, introduced by Lambek. [...]"

Update: ( remarks )