On Fri, Oct 11, 2013 at 05:46:57PM -0700, meekerdb wrote:
> On 10/11/2013 4:36 PM, Russell Standish wrote:
> >On Fri, Oct 11, 2013 at 04:08:05PM -0700, meekerdb wrote:
> >>Maybe I'm not clear on what UD* means.  I took it to be, at a given
> >>state of the UD, the last bit output by the 1st prog, the last bit
> >>output by the 2nd program,...up to the last prog that the UD has
> >>started.  Right?
> >>
> >Its not the output, because the UD doesn't actually output
> >anything. Rather its an internal view of the states the machines
> >emulated by the UD pass through, rather like what the Helsinki man
> >experiences when being duplicated to Moscow and Washington.
> >
> >Its a subtle point, and I fell into the same trap you did (and Liz did
> >also, this morning) a few years ago. I'm not sure anyone has a clear,
> >crisp mathematical explanation of what UD* is - I certainly don't.
> 
> Even if we have the complete record of everything the UD has done up
> to some point I don't see how we can define the kind of measure we
> need over that, because the measure has to be over all threads of
> computation corresponding to a particular classical state.
> 

And these correspond to a countable union of sets of strings sharing
the same prefix, which is just the Solomonoff-Levin measure.

-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au
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