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