  A selfmate is a Chess problem in which White, moving first, needs to force
Black to checkmate within a specified number of moves. The reflexmate is a
derivative of the selfmate in which White compels Black to checkmate with the
added condition that if either player can checkmate, they must do that (when
this condition applies only to Black, it is a semi-reflexmate). We slightly
modify the reduction of EXPTIME-hardness of Chess and apply the reduction to
these Chess problems. It is proved that selfmate, reflexmate, and
semi-reflexmate are all EXPTIME-complete.
