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Subject: CHESS and Mathematical rules for solving it.

Author: George Tsavdaris

Date: 14:14:16 02/16/04



Stefan Zipproth wrote in http://www.zipproth.com/chess/tbs.htm  :

"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
Is there an alternative to table bases?
Today's chess engines work by searching through all possible lines in a given
position. One could think that it may be possible to find a rule that simply
tells which move is the correct one, without having to search in the dark.
Unfortunately, this cannot be true for two reasons:

A)Apparently there is no such (perfect) rule for most 3- or 4-men-positions
(else Nalimov would not have work), so it is very unlikely that there is such a
rule for 32-men.

B)As far as I know it is possible to prove that there is no such rule, using the
mathematical theory of complexity.
"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""

I don't think we can prove A) as the number of rules we can think is infinite.

As for the more important B), although i don't know the proof of the above
theory he refers, i deeply believe that a rule that tells which move(s) is the
correct one, exists 100%. Also i don't believe we can prove that it is not
possible to prove that a rule for solving chess exists.

So does anyone know if there is a proof or some information about the B) he
refers above?



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