Lazy Beaver

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The Lazy Beaver function is a computable variation of the Busy Beaver function defined by Scott Aaronson in his 2020 review.

LB(n, m) is the smallest k > 0 such that no n-state, m-symbol Turing machine halts in exactly k steps.

Computed Values

Values found by Terry and Shawn Ligocki in 2021:

States
2 3 4 5 6
Symbols 2 7 22 72 427 8,407
3 23 351 189,270
4 93 242,789
5 956
6 33,851

See Also