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Subject: Re: Algorithmic Principles

Author: Omid David Tabibi

Date: 17:08:37 03/13/03

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On March 13, 2003 at 14:10:25, Dann Corbit wrote:

>On March 13, 2003 at 03:59:13, Steven Chu wrote:
>
>>I am doing some research on different search algorithms, in particular:
>>alpha beta pruning
>>minimax
>>minimax with alpha beta cutoff
>>negamax
>>negamax with alpha beta cutoff
>>quiescence search
>>
>>I just wanted to know if anyone has any ideas on the comparisons and contrasts
>>of each of these different algorithmic processes compared with eachother and
>>humans.  Also if anyone knows anywhere where i can obtain such information i
>>would be most grateful.
>
>Every one of these techniques is O(exp(n)), where n is depth in plies.  They
>just have smaller constant multipliers.

Once someone said that solving chess is a matter of O(1). He was right, but
unfortunately that constant '1' could take as much as 10^113 years!


>
>Alpha-beta reduces the effort to sqrt(nodes) which is O(exp(n/2)) but that is
>[of course] still O(exp(n)).
>
>Better than negamax is negascout.  Do a web search for it.  Basically, you
>search the heck out of the pv moves and a narrow search on any others.
>As long as your move ordering is good, you get a big savings.



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