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Subject: Re: Never Say "Impossible"

Author: Dan Andersson

Date: 15:45:16 05/08/01

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I don't think every problem is computable in practice, the folding of
generalized (road)maps is not computable yet AFAIK. But I'm interested in the
possibility that given the finite state space of chess there might be a provable
way of computing the value of chess with a less than exponential function of the
number of positions. A kind of useless intellectual curiosity of no practical
use, yet. My only real objection in this tread was the Profs. statement that
chess was an infinite game, and then only based on the fact of the finite state
space. A game of chess might continue forever in the volontary drawing rules are
not applied. There are true infinite games with unbounded state spaces, some
even solvable. As for the Proof Set search idea, I'm not sure I can construct
the proof sets in polynomial time. It's all to easy to hide operations by
mistake.

Regards Dan Andersson



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