Re: [Axiom-developer] Proving Axiom Correct, "state of the art" report

2017-03-31 Thread Martin Baker
On 31/03/17 05:34, Tim Daly wrote: Consider the Axiom Domain NonNegativeInteger. NNI roughly corresponds to the Type theory "Nat" construction. They differ in that Axiom uses Lisp Integers whereas Type theory uses Peano arithmetic (a zero and a successor function) but for our purposes this does n

[Axiom-developer] Proving Axiom Correct, "state of the art" report

2017-03-30 Thread Tim Daly
I've spent a lot of time talking to professors at CMU about Type Theory and the Curry-Howard correspondence. There are excellent lectures online, taught every summer in Oregon. https://www.cs.uoregon.edu/research/summerschool/summer16/curriculum.php Type theory has advanced considerably in recent