Large numbers | Trees (graph theory) | Ordinal numbers | Theorems in discrete mathematics | Mathematical games

Buchholz hydra

In mathematical logic, the Buchholz hydra game is a hydra game, which is a single-player game based on the idea of chopping pieces off a mathematical tree. The hydra game can be used to generate a rapidly growing function , which eventually dominates all recursive functions that are provably total in , and is itself provably total in + "transfinite induction with respect to TFB". (Wikipedia).

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Related pages

Bachmann–Howard ordinal | Buchholz's ordinal | Hydra game | Mathematical logic | Friedman's SSCG function | Computable function | Large Veblen ordinal | Takeuti–Feferman–Buchholz ordinal | Ordinal number | Tree (graph theory) | Graham's number | Small Veblen ordinal