Le 01/10/2013 08:42, Keshav Kini a écrit :
> But as far as I know, Sage is not proof-aware in any way.  I've never
> heard theorem-proving people talk about making use of existing computer
> algebra systems and I can't imagine how they could be useful in the
> business of well-founded theorem proving when they are themselves not
> verified.  If any CAS were to be used in such an endeavour I imagine it
> would be something with a more principled code structure than Sage, like
> Axiom.  And indeed, Wikipedia tells me that there are plans to formalize
> Axiom in Coq or ACL2.

A CAS need not be proof-aware to actually find relations, prove them and
present proof-certificates ; for very specific and interesting examples,
see the book "A=B" by Petrovsek, Wilf and Zeilberger, which is available
in all good libraries, and also on:
http://www.math.upenn.edu/~wilf/AeqB.html

I must admit that reading the mathematica and maple examples was
painful... does sage have those algorithms?

Snark on #sagemath

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