Basic definitions about impartial (pre-)games #

We will define an impartial game, one in which left and right can make exactly the same moves. Our definition differs slightly by saying that the game is always equivalent to its negative, no matter what moves are played. This allows for games such as poker-nim to be classifed as impartial.

The definition for an impartial game, defined using Conway induction.

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Instances For

    A typeclass on impartial games.


      In an impartial game, either the first player always wins, or the second player always wins.

      This lemma doesn't require H to be impartial.

      This lemma doesn't require H to be impartial.