I just wanted to raise awarenes of this research trend:
http://okmij.org/ftp/gengo/applicative-symantics/AACG.pdf
http://okmij.org/ftp/gengo/applicative-symantics/AACG1.pdf

These papers are generalization of categorial grammars and they provide 3 
grammars - 1) abstract grammar (one between syntactic and semantic forms), 
2) surface grammar for the real word text and 3) logical grammar for the 
logical expression that is the meaning of the abstract/surface form. 
Deterministic transformation rules allow to make inverse transformation 
from the surface form to the abstract form and direct transformation from 
the abstract form to the logical form/meaning.

So - these transformation rules can (in my opinion) encode the 
semantic/pragmatic knowledge gathered by the linguists and if we can learn 
to learn these rules automatically (e.g. by understanding maximization) 
then fantastic language processing system can be built.

I only wonder by these papers have not found wider application and 
recognitions, because the are issued in 2015 and I have not found any 
citation and further developmen. If someone knows then it would be great to 
get some further developments along these lines.

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