| How about extending TC with a branch for abstraction:
| 
| TC ::= ...
|      | /\a. TC  -- abstraction
| 
| This is too powerful and will get out of control -- we surely 
| don't want to give TC the full power of lambda-calculus.  So let's impose
a
| restriction: in /\a.TC, a must occur free in TC *exactly once*.  This
| way, abstraction can only be used to specify with respect to which
| argument a partial application is.  (or I think so -- I  haven't tried to
| prove it.)

That's an interesting idea that I've not seen suggested before.

Someone should study it!

Simon

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