GADT + Newtype deriving = Erroneous errors
Stefan O'Rear
stefanor at cox.net
Wed Mar 28 18:22:05 EDT 2007
On Wed, Mar 28, 2007 at 12:03:41PM +0100, Chris Kuklewicz wrote:
> Stefan O'Rear wrote:
> > On Tue, Mar 27, 2007 at 11:32:29AM +0100, Chris Kuklewicz wrote:
> >> Stefan O'Rear wrote:
>
> >>>> newtype Foo = Foo Int deriving(IsIntC)
> >>>>
>
> >
> >> Note that (Foo 2) + 2 is an attempt to add a Foo and an Int, which cannot
> >> possibly compile. So I replaced it with just a 2.
> >
> > Why not? They are the same type, and I have Curry-Howard proof of this fact.
> >
> > Stefan
>
> Foo is isomorphic to Int in structure. But it is not the same type. Foo is a
> new type that is distinct from Int. That means I get type safety -- you cannot
> pass an Int to a function that expects a Foo and vice versa. Since (+) is
> defined as (Num a => a->a->a) it cannot add type different types and thus you
> *cannot* add a Foo and an Int.
Well, I thought I had a non-bottom value of type IsIntT Foo, but when
I tried to seq it ghc crashed: http://hackage.haskell.org/trac/ghc/ticket/1251
Let's postpone this discussion until the people who maintain the
typechecker have a chance to rule :)
Stefan
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