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Mathematica Prove[...] Command Possible?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg127920] Mathematica Prove[...] Command Possible?
  • From: amzoti <amzoti at gmail.com>
  • Date: Sat, 1 Sep 2012 02:28:06 -0400 (EDT)
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Hello,

I have always been curious if Mathematica has ever considered a Prove command?

The reason one could ask such is question is simple, who would have ever thought that CASs would get to where they are in such a relatively short period of time.

Certainly, this is a tall order, but the richness we already see in Mathematica leads one to believe that this can be a new area for CAS development.

Some easy examples could be Prove[ Sqrt[2], Irrational], Prove[ Exp[x], Transcendental], Prove[Sum[i, {i, 1, n}]== n(n+1)/2]...

Certainly, there would be many limitations with proofs in some branches of Mathematics. I suppose getting to meatier proofs is problematic in itself, but maybe a certain rigor in defining the problem can be mapped out that follows how we set problems up today (as there is a pretty consistent way to specifying problems that most mathematicians adhere to).

Anyway, why has this not been attempted (as a comparison, I have seen like DC Proof)? In the end, maybe it is just not a goal for a CAS.

Thanks for your time.




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