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A busy beaver maximises some property of the computation model (e.g. execution time, memory usage, output length) subject to the constraint that it must halt.

17 votes

Golf a number bigger than TREE(3)

Python 2, 194 bytes, ~ Hψ(ΩΩΩ)(9) where H is the Hardy hierarchy, and ψ is the ordinal collapsing function below the Bachmann-Howard ordinal defined by Pohlers. Thanks to Jonathan Frech for -3 bytes …
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  • 381
6 votes

Golf a number bigger than TREE(3)

Ruby, 140 bytes, ~ Hψ(ΩΩΩ)(81) where H is the Hardy hierarchy, and ψ is the standard ordinal collapsing function below the Bachmann-Howard ordinal, as defined here. s=->t{*v,u=t;t==1?[]:v<<s[u]} r=- …
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  • 381