Article View: sci.logic
Article #413Re: "Solvability" (long & pedantic)
From: David Gudeman
Date: Tue, 29 Sep 1992 07:11
Date: Tue, 29 Sep 1992 07:11
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1252 bytes
In article <lcf2ctINN2te@coltexo.cs.utexas.edu> Donald A. Varvel writes: ]First of all, it is not necessary to visit every node in the game tree. ]Period. Alpha-beta pruning yields the same result as min-max, provided ]each works with the same assumptions. That is, an alpha-beta search ]of the entire game tree yields the same result as min-max, while cutting ]of many branches without analysis. That's a minor point, though, since ]A-B doesn't promise an easy solution either. It's been some time since I looked at this stuff, but as I recall, search strategies that are still guaranteed to find the optimal solution cannot be asymptotically better than breadth-first search with the same cost function. So alpha-beta pruning will do no better than remove a polynomial number states from an exponential search space. -- David Gudeman gudeman@cs.arizona.edu
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Path: arc1-ca.pugleaf.net!sparky!uunet!elroy.jpl.nasa.gov!ames!ncar!noao!arizona!gudeman From: gudeman@cs.arizona.edu (David Gudeman) Newsgroups: sci.logic,sci.math,rec.games.chess Subject: Re: "Solvability" (long & pedantic) Message-ID: <22964@optima.cs.arizona.edu> Date: 29 Sep 92 07:11:43 GMT Followup-To: sci.logic Organization: U of Arizona CS Dept, Tucson Lines: 17