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Subject: Re: Off Topic: What is the best 3 dimension tic tac toe program? (4x4x4)

Author: Ian Osgood

Date: 16:27:16 04/10/00

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On April 06, 2000 at 15:09:10, David Paulowich wrote:

>On April 05, 2000 at 16:15:52, Jonathan Lee wrote:
>
>>I have two above average 3 dimensional tic tac toe programs (4x4x4), but they
>>are beatable.
>>Is there a program out there when the computer moves first, the computer never
>>loses?
>>Jonathan (35th message)
>
>I believe someone proved that the 4x4x4 game is a forced win for the
>first player.  If true, there may be a program that always wins.
>
> - David

Victor Allis has solved this game along with a few others (Connect 4) in the
process of doing his thesis on Proof-Number search.

No, Proof-Number search will not revolutionize computer chess.  :)  It is
suitable for exploring game trees which have results dependent on very long
mostly-forced variations.  It is an interesting technique for some subgames of
Go, suicide chess, and games with small overall game-spaces such as Connect 4
and 4x4x4 tic-tac-toe.

Ian



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