[Axiom-math] Re: [open-axiom-devel] [fricas-devel] Re: [fricas-devel] Re: iterators and cartesian product.

[Gabriel Dos Reis]

On Mon, 22 Oct 2007, Bill Page wrote:

| On 10/22/07, Gabriel Dos Reis <address@hidden> wrote:
| > On Mon, 22 Oct 2007, Bill Page wrote:
| >
| > | As I said, I want
| > |
| > |   Product(1..9,1..4)
| > |
| > | to be a domain - the cross-product of two other domains.
| >
| > I do not think
| >
| >     I want 1..9 to be a domain so that I can write
| >     Product(1..9, 1..4) to be a cross product of two domains
| >
| > is an explanation of why `1..9' should be a domain.
| 
| As I said earlier, I think the semantics of Product should be given
| categorically by the existence of the unique operation
| 
| Product(X:Type, Y:Type): with ...
| 
|  product: (A:Type, A->X,A->Y) -> (A->%)
| 
| as a categorical limit.

And I want executable code and typechecking.

On typeckeching, consider

    for i in 1..9 repeat
      -- ...

What are the semantics and type checking rules if 1..9 is a domain?

-- Gaby