[Haskell-cafe] GADTs are expressive
jbapple+haskell-cafe at gmail.com
Mon Jan 8 08:51:40 EST 2007
On 1/8/07, Tomasz Zielonka <tomasz.zielonka at gmail.com> wrote:
> On Mon, Jan 08, 2007 at 08:02:36AM -0500, Lennart Augustsson wrote:
> > So it sounds to me like the (terminating) type
> > checker solves the halting problem. Can you please explain which part
> > of this I have misunderstood?
> Perhaps you, the user, have to encode the proof of halting in the way
> you construct the term?
The Terminating datatype takes three parameters:
1. A term in the untyped lambda calculus
2. A sequence of beta reductions
3. A proof that the result of the beta reductions is normalized.
Number 2 is the hard part. For a term that calculated the factorial of
5, the list in part 2 would be at least 120 items long, and each one
is kind of a pain.
GHC's type checker ends up doing exactly what it was doing before:
More information about the Haskell-Cafe