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Subject: Re: CHESS and Mathematical rules for solving it.

Author: Bruce Cleaver

Date: 06:30:52 02/17/04

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"t would seem to me a rule would only not exist if EGTBs were completely random.
Since they are not, the rule is the compressed form of Nalimov EGTBs or
something like that. This extends to 32-man EGTBs in theory, which ignores the
practical issues."

I like your approach of compressibility.  It is possible that any such rule may
not yield substantial savings; i.e., the rule may be almost as large as the
tablebases themselves.  I believe there already exists in the 6-man tablebases
solutions which run ~265 moves (530 ply).  The solutions are totally opaque to
us, and perhaps little or no compression is possible.  I played thru most of one
of them, and all I could get was the sense of denying one side the space it
needed to escape.

For 32-man tablebases there could well be solutions that run thousands of moves.
 Tens of thousands, even.



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