On 14/10/17 11:43, oldk1331 wrote:
go beyond that and specify axioms seems even more impossible.

"Specify axioms"?  Do you mean theorem prover? Like Coq or Isabelle?

Well the human-readable way to Specify axioms in category theory is diagrams that commute but I suspect the computer-readable version would be equations of functions?

So this:

      ---- F ---->
     |            |
     G            G
     |            |
     V            V
      ---- F ---->

would be:

FG = GF

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