I was pleased to find recently a fresh new paper from people from the 
Cambridge Quantum Computing group that touches and amplify issues I 
considered in older posts at 
https://groups.google.com/d/msg/opencog/mX93L866Z_Q/rxfaZWkQCgAJ. They 
detail a functorial Montague semantics. I find this model amenable to 
integration with further ideas. Regards, JL.

Montague Semantics for Lambek Pregroups, 
Giovanni de Felice, Konstantinos Meichanetzidis, Alexis Toumi
https://arxiv.org/pdf/1905.07408.pdf

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