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computer-go: Alpha-Beta Search
The Knuth Paper to read is:
Knuth and Moore "An analysis of alpha-beta pruning" Artificial
Intelligence 6(4), 293-326, 1975.
Note that you will only get the reduction of the branch factor to the
square root of the branch factor if the search is perfectly ordered by
the goodness (according to the evaluation function) of the moves. So
provided your ordering is reasonably good most of the time you will get
fairly close to optimal pruning.
Cheers
David Elsdon