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Suppose we play a chess-variant, where any finite number of pieces are allowed, and the board is as large as we wish, but only two kings in total. And there is no 50 move-rule, no castling and no captures and no pawn-moves.

Then is it possible to have a a pair of positions A and B, such that we can go from configuration A to B by legal moves, but not from B to A?

Minor addition:

No stalemates or checkmates allowed, the game must be extendable atleast two moves in both direction from both A and B.

Two configurations are different also if the pieces are in the same places but it is a different player to move.

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# Irreversible chess

Suppose we play a chess-variant, where any finite number of pieces are allowed, and the board is as large as we wish, but only two kings in total. And there is no 50 move-rule, no castling and no captures and no pawn-moves.

Then is it possible to have a a pair of positions A and B, such that we can go from configuration A to B by legal moves, but not from B to A?

Minor addition: No stalemates or checkmates allowed, the game must be extendable atleast two moves in both direction from both A and B.

Two configurations are different also if the pieces are in the same places but it is a different player to move.