User blog:Superlirarder/SFGS

SFGS (superlirarder's fast growing system) has growth rate: SS(a&b(a&a)) ≥ fϑ(Ωωω)(n)

DEFINITION

SS(a,1) = a+a, simple.

SS(a,b) = a↑b+2a

SS(a,b,1) = {a, a, b, 2} SS(a,b,c) = {a, a, b, c+1} SS(a,b,c,d) = {a, a, a, a, a......, c+b} with d a's

SS(a|b) = {a,(b) a} SS(a|b|c) = {a (0,0,0,0,....b) a} with c 0's SS(a||b) = {a ((b)b) a} SS(a|||b) = a^^a & b SS(a@b) = SS(a|||.....|||b) where b |'s = {a,a,b} & b if b > 2 SS(a@@b) = {a,a,a,b} & b SS(a@@@b) = {a,a,a,a,b} & b SS(a&b) = {a, b (1) 2} & b SS(a&b(a||a)) = {a, b ((1)1) 2} & b SS(a&b(a&a)) is the limit of SFGS