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computer-go: Mathematic Go



Mathematic Go theory has achieved some quite interesting results regarding 
the end games. It demonstrated that in many end game situations, the best 
score can be calculated from the topological properties of the position alone 
and the look forward search is not needed. This success raise the hope of a 
'magic formular' for winning Go games.

However, the extension of these theories to the other parts of the game (such 
as the middle game) is met with difficulties. The reason is that there are 
just too many possible positions to be enumerated as required by existing 
mathematic Go thoery. I think there maybe one way to avoid this problem. 
Instead of studying the game positions, one may study the mathematical 
properties of the empty Go board. Since all possible game positions are 
completely pre-determined by the mathematical properties of the Go board and 
the set of Go rules. This becomes interesting that one may find the 'magic 
formular' by not studying the game, but ,instead, the empty Go board. It 
would be very interesting if someone can prove or disprove that such an 
approach is possible. One possible justification of this appraoch is that the 
Go boards can cost much more than the Go stones. A clear demonstration of the 
importance of the Go board. 


Dan Liu