Self-distributive algebras from very large infinities : threshold changes in Laver tables
26:55
YouTubeJoseph Van Name
Self-distributive algebras from very large infinities : threshold changes in Laver tables
The n-th monogenic Laver table is the unique algebraic structure A_n=({1,...,2^n},*) where x*(y*z)=(x*y)*(x*z) and x*1=x+1 mod 2^n for al x,y,z. One may use the thresholds to compute the n+1-th Laver table from the n-th Laver table. Let *_n denote the n-th Laver table operation. Define o_n(x) to be the least natural number where x*_n 2^{o_n(x ...
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