Cobordisms and Commutative Categorial Grammars
We propose a concrete surface representation of abstract categorial grammars in the category of word cobordisms or cowordisms
for short, which are certain bipartite graphs decorated withwords in a given alphabet, generalizing linear logic proof-nets.
We also introduce and study linear logic grammars, directly based on cobordisms and using classical multiplicative linear logic
as a typing system.