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 <[email protected]> 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. > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
