
Re: [HM] Proofs and the computer
Posted:
Jun 9, 1999 1:57 AM


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 4colour 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 finetoothed > comb. > > With the 4 color program, perhaps the most effective way is to have a new > team of programmers under the direction of mathematicians reprogram it > from scratch to try to obtain the same result. > > Best wishes, > > Sam Kutler > >

