An alternating grid-removal game in which choosing an occupied cell removes it and every occupied cell above and to its right. The player who removes the designated lower-left poison cell loses. Reachable occupied-cell sets are order ideals for coordinatewise order. A nonempty reachable position always contains the poison cell, and removing that cell empties the board. The monotone boundary representation of a grid order ideal supports compact board updates.
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Chomp is a two-player mathematical strategy game played on a rectangular grid of squares, representing chocolate bars. The game mechanics are straightforward: players take turns selecting a square, and when a player picks a square, all squares to the right and below it are "chomped" or removed from the game. Here's how it works: 1. The game starts with a chocolate bar represented by a grid of squares.