On Mon, Aug 28, 2006 at 03:41:00PM +0200, Bruno Marchal wrote:
>
>
> Le 27-août-06, à 12:43, Russell Standish a écrit :
>
>
>
> > I recall reading this paper, and the followup entitled "The Random
> > Oracle Hypothesis is False" by Chang et al.
>
>
> Have you the reference? Do you know if Chang has found a math error, or
> a conceptual mishandling? I would be interested to know.
>
>
The ref is
@Article{Chang-etal94,
author = {Richard Chang and Benny Chor and Oded Goldreich and Juris
Hartmanis and Johan H\aa{}stad and Desh Ranjan and Pankaj Rohatgi},
title = {The Random Oracle Hypothesis is False},
journal = {Journal of Computer and System Sciences},
year = 1994,
volume = 49,
pages = {24-39}
}
Google it - its on the web.
>
>
> >> From recollection though, the claim was of superior algorithmic
> > performance (ie solving NP problems in P time) rather than solving
> > uncomputable problems.
>
>
>
> I doubt this very much, but I will check and let you know,
>
There is also the classic Leeuw et al paper (1957) demonstrating that
probabilistic TMs are no more powerful than the regular thing.
Anyway, I appreciate you checking - such a claim as you're saying
would be very interesting.
>
> Bruno
>
>
> http://iridia.ulb.ac.be/~marchal/
>
>
>
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