Re: [Axiom-developer] Axiom's Sane redesign musings

2019-06-19 Thread Tim Daly
Martin, > Are there some fundamental compromises that have to be made when combining > computer > algebra and proof technology? > For instance in proof assistants, like Coq, equations are types for instance: > x = x + 0 > is a proposition which, by Curry-Howard, can be represented as a type. T

Re: [Axiom-developer] Axiom's Sane redesign musings

2019-06-19 Thread Martin Baker
On 19/06/2019 12:18, Tim Daly wrote: The effort to Prove Axiom Sane involves merging computer algebra and proof technology so Axiom's algorithms have associated proofs. Tim, Are there some fundamental compromises that have to be made when combining computer algebra and proof technology? For

[Axiom-developer] Axiom's Sane redesign musings

2019-06-19 Thread Tim Daly
Sane: "rational, coherent, judicious, sound" Axiom is computational mathematics, of course. The effort to Prove Axiom Sane involves merging computer algebra and proof technology so Axiom's algorithms have associated proofs. The union of these two fields has made it obvious how far behind Axiom ha