Talk:Champions

Larger champions

What are the known two-symbol champions beyond BB(16)? Vielhaber, Chacón, and Ceballos's paper "Friedman's 'Long Finite Sequences': The End of the Busy Beaver Contest" gives a 2450-state two-symbol busy beaver halting after at least n(4) steps, where n is Friedman's block subsequence function, but this is a very large jump up in state count from 14 states for f_ω+1(65536). (This paper has some mistakes with their (symbol,state count) notation for TMs, for example referring to Aaronson's and Yedidia's machine as a (7910,2) machine rather than a (2,7910) machine, so maybe the machine whose state count I wrote here is the wrong one.) C7X (talk) 22:00, 17 August 2024 (UTC)