Ok, a and s are type variables. It may be common usage for computer people but for someone with a math background it is difficult to call forall a a type . In logic one expects a statement in the scope of forall a like this
 
(forall a) statement. The statement may or may not depend on a.
 
So let's come backe to runST.
 
runST ::( forall s) (ST s a )-> a
 
So I insist what is the statement ST s a ?
 
Scott
 
 
----- Original Message -----
From: "Ashley Yakeley" <ashley@semantic.org>
To: "Scott J." <jscott@planetinternet.be>
Cc: "Haskell Cafe List" <haskell-cafe@haskell.org>
Sent: Monday, August 19, 2002 4:26 AM
Subject: Re: Question aboutthe use of an inner forall

> At 2002-08-18 18:19, Scott J. wrote:
>
> >A question: s is not a type variable as a isn't it?
>
> Both are quantified type variables. But only one of those quantifiers can
> be placed at the top level of the expression.
>
>    runST :: forall a. ((forall s. ST s a) -> a)
>
> > I mean a can be of type Integer while s cannot.
>
> Well yes, you can specialise "forall a" to Integer. So runST can be
> specialised to this type:
>
>    runST ::[special] (forall s. ST s Integer) -> Integer
>
> ...whereas you cannot specialise "s" in the same way. Think of it in
> terms of logic, if for all a: f(a), then by simple specialisation
> f(Integer).
>
> --
> Ashley Yakeley, Seattle WA
>
>