Le 28-août-06, à 05:37, Stathis Papaioannou a écrit :

>> It *has* been proved (by diagonalization) that there exist some 
>> problem
>> in number theory which are soluble by a machine using a random oracle,
>> although no machine with pseudorandom oracle can sole the problem.
> That's interesting: does this imply it is possible to test a number 
> sequence to see
> if it is random?

Alas No. That would contradict other theorems in computer science. So 
we can infer that Kurtz diagonalization is non constructive. I will 
check Kurtz's paper to verify.

>> KURTZ S. A., 1983, On the Random Oracle Hypothesis, Information and
>> Control, 57, pp. 40-47.
>> But it is not relevant given that self-duplication is already a way to
>> emulate true random oracle.
> Do you mean by this an algorithm that explores every possible branch, 
> by analogy
> with the MWI of QM?

Yes. Just think about the UD. It generates all the possible 
computational branches (if you accept CT, and AR. No need for YD here).



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