Computability, Turing Machines (was RE: How many of you like HP41C calculators?)
William R. Buckley wrote:
> Turing showed that if it can be computed, it is computable
> on a TM. There is no machine existing, no machine which may
> exist, that can compute a computation which is not also
> computable on a TM.
I probably was supposed to have learned in my classes, but apparently
have forgotten: what is the definition of "a computation". I'm hoping
that there is a better (more formal) definition than "that which can be
computed on a Turing Machine". Otherwise, the proof that everything that
is computable is computable on a Turing machine is trivial.
Received on Fri Nov 21 2003 - 12:29:23 GMT
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