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Microsoft planned to include games when developing Windows 1.0 in 1983–1984. Pre-release versions of Windows 1.0 initially included another game, Puzzle, but it was scrapped in favor of Reversi, based on the board game of the same name. [1] Reversi was included in Windows versions up to Windows 3.1.
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A simple hydra game can be defined as follows: A hydra is a finite rooted tree, which is a connected graph with no cycles and a specific node designated as the root of the tree. In a rooted tree, each node has a single parent (with the exception of the root, which has no parent) and a set of children, as opposed to an unrooted tree where there ...
Buchholz's paper in 1987 showed that the canonical correspondence between a hydra and an infinitary well-founded tree (or the corresponding term in the notation system associated to Buchholz's function, which does not necessarily belong to the ordinal notation system ), preserves fundamental sequences of choosing the rightmost leaves and the operation on an infinitary well-founded tree or the ...
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