That sounds like (some of) what Bruno talks about. The computer programme
known as the UD (and its trace) are "in maths". (And didn't Godel make
proofs paths of maths?)


On 12 January 2014 10:41, Alberto G. Corona <agocor...@gmail.com> wrote:

> By the way, what about if you find a mathematical theory that show that:
>
> computer programs and matematical proofs  are no longer something out
> of math, but mathematical structures and both are essentially the same
> thing: both are paths from premises to conclussion in a  space with
> topological properties
>
> And the theory stablish topological relations between these paths so
> that proofs and computer algorithms are classified according with
> these relations.
>
> That is homotopy type theory.
>
> http://homotopytypetheory.org/
>
> I´m starting to learn something about it, It is based on type theory,
> category theory and topology. The book introduction is nice (HOTT link
> at the bottom of the page). It seems to be a foundation of computer
> science and math that unify both at a higher level, since proofs and
> programs become legitimate mathematical structures
>
> The book:
>
> http://homotopytypetheory.org/2013/06/20/the-hott-book/
>
> --
> Alberto.
>
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