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Re: [Bug-gnubg] [Fwd: gnubg search function]


From: Joseph Heled
Subject: Re: [Bug-gnubg] [Fwd: gnubg search function]
Date: Fri, 28 Mar 2003 08:23:50 +1200
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.2) Gecko/20021202


Last time I used Alpha/Beta pruning was 20 years ago, so my recollection is hazy. Still, a/b is for min/max trees. In BG, the node value is the *arithmetical weighted average* of it's children, not a min/max. this is what makes BG intractable to brute force.

-Joseph

Thomas Hauk wrote:
On Fri, 28 Mar 2003, Joseph Heled wrote:

I might be missing something, but I can't see how this applies to Backgammon. Looking at some of the continuations (i.e. subset of possible rolls) can't give you a bound on outcome of other rolls.


You wanted a brief explanation. 8) Unless you are familiar with alphabeta search, it will be difficult to explain the concept. Try Googling around for a decent alphabeta Web page. Something like http://www.cs.mcgill.ca/~cs251/OldCourses/1997/topic11/

You can't get a bound for the outcome for any rolls until you have searched to the bottom of the left-most branch of the game tree. You then can begin to obtain cutoffs. See Figure 4 on that Web page.

--Tom









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