"Bill Page" <[EMAIL PROTECTED]> writes:

| On Fri, Jul 4, 2008 at 7:40 AM, Gabriel Dos Reis wrote:
| > ...
| > I would not like to add to the confusion, but when thinking of this
| > problem one should also keep an eye on the status of Mapping.
| > What is it?  Is it a domain constructor or a category constructor?
| >
| 
| Mapping (e.g. A->B) is clearly a domain constructor since we can write:
| 
|    x:A->B := ...
| 
| A->B is the type of x.
| 
| But 'with x:A->B' is a category object so we should be able to say:
| 
|   x:Category := with x:A->B
| 
| in this sense 'with' is a (special) category constructor - rather like
| Record is a special domain constructor. The thing that makes it
| special (and therefore necessarily built-in) is that the name 'x' is
| significant. It becomes part of the object. Aldor makes names like 'x'
| a object of type Enumeration but I think this is artificial.
| 
| Regards,
| Bill Page.
| 

-- 
Dr. Gabriel Dos Reis ([EMAIL PROTECTED]), Assistant Professor
              http://www.cs.tamu.edu/people/faculty/gdr
        Texas A&M University -- Department of Computer Science
        301, Bright Building -- College Station, TX 77843-3112

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