Re: [Axiom-developer] Why proving Axiom correct is important

2015-05-09 Thread Martin Baker
On 08/05/15 21:40, d...@axiom-developer.org wrote: There exists a few mathematical axiom statements in the category book (Volume 10.2), associated with each category (look at SemiGroup for example). The intention is to decorate all of the categories and domains with mathematical axioms which can

Re: [Axiom-developer] Why proving Axiom correct is important

2015-05-09 Thread Gabriel Dos Reis
I had actually had something similar in one of OpenAxiom's branch. On Sat, May 9, 2015 at 3:37 AM, Martin Baker ax87...@martinb.com wrote: On 08/05/15 21:40, d...@axiom-developer.org wrote: There exists a few mathematical axiom statements in the category book (Volume 10.2), associated with

Re: [Axiom-developer] Why proving Axiom correct is important

2015-05-09 Thread daly
Martin, If you are using COQ then why not just map the COQ library entries into the Axiom categories? So if we take part of the base library here: https://coq.inria.fr/library/Coq.Arith.Mult.html# So the appropriate Axiom category could have an entry like: Zero property Lemma mult_0_r : forall