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wrapping parameterized types
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| Date: | -- (:) |
| From: | Dirk Thierbach <dthierbach@g...> |
| Subject: | Re: [Caml-list] wrapping parameterized types |
On Fri, May 04, 2007 at 11:10:03AM +1000, skaller wrote:
> On Thu, 2007-05-03 at 19:16 -0400, Chris King wrote:
> > On 5/3/07, Christopher L Conway <cconway@cs.nyu.edu> wrote:
> > The solution is to use existential types. In a record, you can tell
> > O'Caml that a particular function _must_ be polymorphic:
> >
> > type 'b mylistfun = { listfun: 'a. 'a list -> 'b }
> I'm still confused why this is called an existential, when
> clearly the quantification is universal.
It's because the universal quantifier is in a "negative" position,
which is equivalent to an existential quantifier on the outside.
Just pretend they are logic formulae instead of types, and then
(\forall a. a) -> b is equivalent to \exists a. (a -> b)
using DeMorgan's rule.
- Dirk