[Haskell-cafe] Origins of '$'

[Dan Piponi]

2008/12/8 Joachim Breitner <mail at joachim-breitner.de>:
> So A^(B+C) = A^B × A^C ?

That's part of the basis for Hinze's paper on memoization:
http://www.informatik.uni-bonn.de/~ralf/publications/WGP00b.ps.gz

> It's always nice to see that I havn't learned the elementary power
> calculation rules for nothing :-)

More generally, all of Tarski's "high school algebra" axioms carry
over to types. You can see the axioms here:
http://math.bu.edu/people/kayeats/papers/saga_paper4.ps That proves
type theory is child's play :-)
--
Dan