On Wed, Jul 9, 2008 at 8:33 PM, Gabriel Dos Reis wrote:
> On Wed, Jul 9, 2008 at 6:56 PM, Bill Page <[EMAIL PROTECTED]> wrote:
>>>
>>> Symbolic Float -- as explained in the `computing with unknowns' paper.
>>>
>>
>> Ah, I wish I could be at the meeting in Bristol to discuss this in
>> detail. Maybe at ISSAC?
>
> I'll be at ISSAC.
>

Great. See you (all) there in a couple of weeks! :-)

> ...
>>  Does it apply to all types?
>
> Almost -- except function types, which is already weird in
> all AXIOM systems.
>
>> What
>> happens if I write:
>>
>>  x:Polynomial Integer
>>
>> without providing any value. Is 'x' evaluated as Symbolic Polynomial
>> Integer? If not, how is that prevented?
>
> the *expression* x evaluates to a Symbolic Polynomial Integer.
> The type of of the *variable* x remains Polynomial Integer in the
> evaluation environment.
>

It occurs to me that I do not understand how interpreter avoids the message:

  x is declared as being in Polynomial Integer but has not been given a value

when used in an expression like the following:

  p:=x+1

although experience shows it does and the result is of type
'Polynomial Integer'. So this would represent a potentially
significant change in behavior. If the result will be 'Symbolic
Polynomial Integer' then I presume that I will have to write something
like:

  x:='x

and then re-evaluate p in order to get 'Polynomial Integer'. Is there
another way? Or does it get more complicated? I wonder if having two
"levels" of symbolic expressions such as in this case, might sometimes
lead to confusion.

>>
>> I know these questions might lead to a lot of technical details, so if
>> you would prefer to delay further discussion until we next meet, or at
>> a later time please feel free.
>
> Well, I hope to be there -- and I hope you would have read the paper
> before then :-)
>

Is the official version of the paper available online somewhere?

> ...
> Of course, this development makes even more important the work
> done by Andreas Dolzmann and Thomas Sturm as I pointed out
> here
>
>  http://www.mail-archive.com/[EMAIL PROTECTED]/msg13175.html
>

Strong agreement!

Regards,
Bill Page.

-------------------------------------------------------------------------
Sponsored by: SourceForge.net Community Choice Awards: VOTE NOW!
Studies have shown that voting for your favorite open source project,
along with a healthy diet, reduces your potential for chronic lameness
and boredom. Vote Now at http://www.sourceforge.net/community/cca08
_______________________________________________
open-axiom-devel mailing list
open-axiom-devel@lists.sourceforge.net
https://lists.sourceforge.net/lists/listinfo/open-axiom-devel

Reply via email to