ColorblindSuperko

blubb: Has anyone thought or heard of

Colorblind Superko

Every whole-board pattern of empty points is allowed to occur at most once in a game.

Obviously, it works even simpler than positional superko. I find it interesting for go between more than two colors.

W: I use this in my go AI, since my board implementation is suitable for calculating a hash for this quickly, and adding colour information would make it significantly slower. I think the chance of a situation repeating but with some colours reversed is fairly negligible.

swooboo: Can someone give some thought of Colorblind Superko being identical to the regular superko? I have a feeling that it is very similar, but I think there is a possibility that the pattern of empty points could repeat with some stones of reversed color. I have tried to find something, but nothing so far. Also, proving that this is equal to the superko should be even harder, I think.

fractic: This is stronger then normal superko. Here is an example.

Starting position.  

the beginning  

End result  

fractic: White isn't allowed to play under a colourblind super ko. Not that it would be a meaningfull move.

Black to play  

fractic: Here's a simple problem. Using area scoring what's the best that black can get? There is no komi.

/attempts?

/solution

swooboo: I didn't really get this one, but thanks for the counter example! It does seem that that is not enough as a counter example, but it shows us that the rule is not equal to the regular superko.

Is this problem a bigger counter example? If not, we should find a real counter example. (Maybe that move is meaningless in the end, so we should search)