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Topic: Re: [HM] Proofs and the computer
Replies: 7   Last Post: Jun 10, 1999 9:52 AM

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Michael Deakin

Posts: 64
Registered: 12/3/04
Re: [HM] Proofs and the computer
Posted: Jun 9, 1999 1:57 AM
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My understanding is that Frank Allaire, using a different programme,
and allegedly a simpler one, reproduced the result by Haken, Appell &
Katz.

Mike D

>
> You wrote
>

> > The famous 4-colour problem took more or less a hundred years to
> > be "solved" after several intelligent and creative attempts.
> > However, the "proof" required the helping hand of the computer.
> > I once heard the question "How are we to prove the correctness of
> > the program?"

>
> We can't prove its correctness, but think of Wiles's proof of Fermat's Last
> Theorem:
>
> How can we prove its correctness?
>
> We've had fine number theorists go over it with a metaphorical fine-toothed
> comb.
>
> With the 4 color program, perhaps the most effective way is to have a new
> team of programmers under the direction of mathematicians re-program it
> from scratch to try to obtain the same result.
>
> Best wishes,
>
> Sam Kutler
>
>






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