Re: [Axiom-developer] Domains and expressions

[Gabriel Dos Reis]

"Bill Page" <address@hidden> writes:

| Gaby,
| 
| On March 14, 2006 6:42 PM you wrote:
| > 
| > Chasing links led me to this
| > 
| >
| http://portal.acm.org/citation.cfm?id=190695&dl=GUIDE&coll=GUIDE&CFID=673307
| 48&CFTOKEN=77193109
| 
| > Do people know what happens to "Gauss"?
| 
| Once long ago as a new user of Maple I remember trying Gauss.
| I was distinctly unimpressed. That was with Maple release 4
| which actually, I rather liked.

Thanks for sharing your experience.  I was asking because I did not
seem to be successful in getting anything from web-searching.

| I believe that at the time Gauss was available from MapleSoft,
| but I can't find it now on their website. If you are really
| interested you might inquire at
| 
| http://www.maplesoft.com
| 
| Of course the idea of adding something as heavy as an object-
| oriented strongly-typed extension to an untyped interpreted
| language is pretty questionable anyway... I think B#, adding
| an "untyped" interpreted user-level language to a strongly-typed
| language like Aldor, makes more sense. Don't you think?

Yes; I was intrigued by the paper.

| > In their approach to mimic Axiom, they avoid been careful in
| > making AbelianMonoid "derive" from Monoid.  
| 
| Yes, that is interesting - nice diagram. I wonder how much
| of that was actually implemented?

Good question.

| Here is the only other reference I could find:
| 
| Design and implementation of symbolic computation systems:
| International Symposium, DISCO '93, Gmunden, Austria,
| September 15-17, 1993 : proceedings
| (Lecture notes in computer science)
| 
| http://books.google.com/books?id=NrpGnrVET_MC
| 
| You might want to check if your library has a copy.

Thanks, I'll try that.

| Gauss: A Parameterized Domain of Computation System with
| Support for Signature Functions, by M.B Monagan, page 81. 
| 
| Notice also the article by Tony Hearn about order-sorted
| algebras: "An Order-Sorted Approach to Algebraic Computation".
| Page 134.

Thanks!

-- Gaby