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Re: [Axiom-developer] Curiosities with Axiom mathematical structures

From: Gabriel Dos Reis
Subject: Re: [Axiom-developer] Curiosities with Axiom mathematical structures
Date: 14 Mar 2006 01:46:21 +0100

Martin Rubey <address@hidden> writes:


| > Imagine you could ask "if M has Monoid(+)..." or "if M has
| > Monoid(*)...". According to which returns true, you would then go on and 
| > (m1 +$M m2) or (m1 *$M m2). Well, but M might have a monoid structure with
| > respect to the operation ".". Do you really also want to ask "if M has
| > Monoid(.)..."? That soon becomes impractical.
| No, this is not an issue about practicality.
| Look at it this way: Suppose "M has Monoid" returns "true". How do you know
| then with respect to which operation M is a monoid? What can you do with the
| information that M is a monoid with respect to some operation?


If we had access to Aldor compiler sources, it would helpful to
experiment with these ideas.

-- Gaby

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