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Suicide Moves
A stone may not be placed in such a way that it (or the group it's part of) has no liberties. (Chinese rules allow such "suicide" moves; the stone that was just played (or the group it's part of) is captured right away; occasionally, such a move can be useful as a ko threat. This is illustrated by the following position, in which a White move at X would cause two White stones to be removed, but White would now threaten to play at X again, making Black's eye to the left of X a false eye.

Next:  Compensation