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MathGroup Archive 2004

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Re: Redefining the minus operator

  • To: mathgroup at
  • Subject: [mg53027] Re: Redefining the minus operator
  • From: Paul Abbott <paul at>
  • Date: Mon, 20 Dec 2004 06:34:56 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <cmkkn6$j99$> <> <cp3shr$969$>
  • Sender: owner-wri-mathgroup at

In article <cp3shr$969$1 at>, Ben Kovitz <bkovitz at> 

> Here's what I'm trying to do:  derive theorems mechanically in 
> Mathematica.  I'd like to be able to take, say, a trig theorem and a 
> few arithmetic theorems (like a + a == 2a), and see what other theorems 
> those generate.  Hopefully I could also make a visualization of the 
> graph of logical implication and equivalence relations.
> For this purpose, I need to turn off *all* of Mathematica's 
> simplification code, and invoke just the pattern-matching code.  I'd 
> also like the results to look nice, but you've shown me that it's far 
> simpler to just define a PLUS function and not even bother trying to 
> talk Mathematica out of its normal interpretation of +.
> I'm thinking of making an ever-growing list of theorems and just taking 
> Cases or another pattern-matching function on it.  A potential problem 
> with this is just that it could get slow.  I don't think DispatchTable 
> would be of much use, since the list produced is static, and my list of 
> theorems will grow and grow.

I would recommend that you have a look at Theorema

and also the work by Ronald Monson <Ronald.Monson at>, formerly at
The University of Western Australia but now at Victoria University in


Paul Abbott                                   Phone: +61 8 6488 2734
School of Physics, M013                         Fax: +61 8 6488 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
35 Stirling Highway
Crawley WA 6009                      mailto:paul at 

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