Small Board Solutions

 

Can White draw? If White thinks she can and Black thinks White can't, Black will never pass in an even situation and White will never pass when behind.

 

White could either pass or play here with . at a would lead to a whole board win to White because of superko.

 

passes.

 

Black can now pass since White taking would be superko. Black wins by 1.

 

This is the alternative where White does not pass. plays snapback.

 

Again, White cannot take because of superko.

So, Black at least wins, but it has not been shown if he can win by more than 1.

 

White can manage seki for a draw.

 

Black wins the capturing race.

 

Black's eye gives him the strength to capture White.