On Mon, Jul 7, 2008 at 6:59 PM, Ralf Hemmecke <[EMAIL PROTECTED]> wrote:
> On 07/08/2008 01:06 AM, Gabriel Dos Reis wrote:
>>
>> On Mon, Jul 7, 2008 at 4:49 PM, Yixin Cao <[EMAIL PROTECTED]>
>> wrote:
>>>
>>> Howdy,
>>>
>>> When I define
>>> (1) -> a:Category := Ring
>>>   Category is a category, not a domain, and declarations require
>>>      domains.
>>
>> I consider this to be a bug -- as discussed with Bill recently.
>
> Gaby, when I read your comment, I cannot really interpret it. What exactly
> do you consider as a bug?

The fact that the interpreter rejects

     a: Category := Ring

or

    b: Ring := Integer

[...]

>>> while
>>> )abbrev domain FOO Foo
>>> Foo(): Public == Private where
>>>   Public ==>  with
>>>     f1: () -> Domain
>>>     f2: () -> Domain -- compilation failed if "Category" used here!!
>>
>> That is a bug.
>>
>>>   Private ==>  add
>>>     f1 == Integer
>>
>> OK.
>
> Why? Why not requiring f1 == ()+->Integer? I could have defined f1 as
>
>   f1 = () +-> (printSomething(); Integer)
>
> But maybe the nullary function vs. constant is something for later or
> another thread. Anyway, if f: () -> X and h: X then they are clearly
> different since they have different types.
>
> Looks like the SPAD compiler is silently inserting "()+->" in a definition
>
>  random: () -> Integer
>
>  random == 42

This has been so since the base AXIOM system.

OpenAxiom added the ability to write

     1: %

instead of

      1: constant -> %

in categories.

The base AXIOM system has the tendency of taking the view that
everything is a function, even constants and sometime blurring
the disctinction between a nullary function and a constant (which
can be justified from some theoretical point of view).

>
> Ooops, Axiom doesn't let me define constants?
> http://axiom-wiki.newsynthesis.org/SandboxNullaryVsConstant

OpenAxiom does.

>
> Ralf
>

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