Re: Axiom musings...

2020-01-09 Thread Tim Daly
When Axiom Sane is paired with a proof checker (e.g. with Lean) there is a certain amount of verification that is involved. Axiom will provide proofs (presumably validated by Lean) for its algorithms. Ideally, when a computation is requested from Lean for a GCD, the result as well as a proof of th

Re: Axiom musings...

2020-01-09 Thread Tim Daly
Provisos that is, 'formula SUCH pre/post-conditions' A computer algebra system ought to know and ought to provide information about the domain and range of a resulting formula. I've been pushing this effort since the 1980s (hence the SuchThat domain). It turns out that computing with, carryin