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Subject: Re: Minimum bits for chess board representation?

Author: Bruce Moreland

Date: 17:33:07 09/29/00

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On September 29, 2000 at 19:11:17, Bo Sjögren wrote:

>Some time ago, maybe a year or so, there was an interesting
>discussing about the minimum number of bits necessary to store an
>arbitrary chess position. What was the conclusion of the
>discussion? Can I find the discussion in the archive, or a
>summary somewhere on the net?
>
>Regards,
>Bo S

It is somewhere in the archives, and you could find it in an evening of
downloading and using grep, if nobody remembers what month the discussion took
place.

I think the most interesting thing about that line of research is that it
attempts to approximate the number of legal positions, since if you knew for
sure how many bits it would take to store every position, you would know how
many positions there are.

A major problem is that you don't solve chess if you have a value for every
legal position.  You solve it if you begin play from the root position, but if
you have to pick up at an arbitrary point (for instance if you are doing
analysis), the play that preceds the starting position affects repetition and
50-move values, possibly affecting the theoretical result or at least the path
taken to that result.

So there are big problems involved with attempts to analyze chess positions by
solving chess via retrograde analysis.

bruce




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