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Re: Command Possible?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg127926] Re: Command Possible?
*From*: Murray Eisenberg <murray at math.umass.edu>
*Date*: Sun, 2 Sep 2012 04:34:02 -0400 (EDT)
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Proof systems have certainly been attempted in add-on applications for Mathematica. E.g., "Theorema":
http://www.risc.jku.at/research/theorema/software/
On Sep 1, 2012, at 2:28 AM, amzoti <amzoti at gmail.com> wrote:
> 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.
>
---
Murray Eisenberg
murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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