
Consider the following: data SimpExist a = SimpExist (forall x . x -> a) f :: SimpExist Bool f = SimpExist (const True) g = SimpExist id What is the type of g? In a similar example, GHC tells me it is of type SimpExist c. Yet, I can't unify it with any other SimpExist c'. It seems to me that this is something like exists x . SimpExist x, and is similar to: data ExistWrap = forall a . ExistWrap (forall x . x -> a) Jim

Hello,
Consider the following:
data SimpExist a = SimpExist (forall x . x -> a) f :: SimpExist Bool f = SimpExist (const True) g = SimpExist id
What is the type of g? In a similar example, GHC tells me it is of type SimpExist c. Yet, I can't unify it with any other SimpExist c'.
Have you tried to type check this example (the "g")? It does not type check in my GHC. There are not many functions with the type "forall x . x -> a" when "a" is also polymorphic --- it is the type of unsafeCoerce.
It seems to me that this is something like exists x . SimpExist x, and is similar to:
data ExistWrap = forall a . ExistWrap (forall x . x -> a)
Sure, you should read a "forall" on the left side of a constructor as "exists". Look at section 7.4.1.4.1 of: http://www.haskell.org/ghc/docs/6.4.2/html/users_guide/type-extensions.html The design decision here was to avoid introducing a new "exist" construct. I believe that the justification for this option is that in Logic a "forall" in a contravariant position has the same effect as an existential. Cheers, Bruno

On 9/21/06, Bruno Oliveira
Have you tried to type check this example (the "g")?
No. Please excuse me, as I wasn't by my GHC at the time. Let's try: data SimpExist a = Base a | SimpExist (SimpExist (forall x . x -> a)) g :: SimpExist (forall a . a -> a) g = Base id h = SimpExist g data WrapExist = forall a . WrapExist (SimpExist a) i = WrapExist h I'm familiar with the use for "forall" to mean "exists", but I am baffled by h's ineffable type! Jim

When I look at the generated core, I see that both h and same = Base undefined have the same type: %forall a . main:Fonly.SimpExist a I'm using GHC 6.5.20060819. If this is a bug, I actually find it kind of useful, for reasons I can elaborate later. Jim
participants (2)
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Bruno Oliveira
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Jim Apple