Busy Beaver for SKI calculus: Difference between revisions

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== See Also ==
== See Also ==
[https://komiamiko.me/math/ordinals/2020/06/21/ski-numerals.html Lower bounds of this function]
[https://komiamiko.me/math/ordinals/2020/06/21/ski-numerals.html Lower bounds of this function]
[[Category:Functions]]

Latest revision as of 10:21, 29 November 2025

Busy Beaver for SKI calculus (we will call it BBSKI for now) is a variation of the Busy Beaver problem for lambda calculus.

Champions

n Value Champion Discoverered by
1 = 1 S ?
2 = 2 SS ?
3 = 3 SSS ?
4 = 4 SSSS ?
5 = 6 SSS(SS) ?
6 = 17 SSS(SI)S ?
7 ? ? ?
8 ? ? ?
9 >= 519 SSI((S(SS)S)S)K ?
10 >= 1041 SSI((S(SS)S)S)KS ?

See Also

Lower bounds of this function