User blog comment:Primussupremus/My idea for a new notation./@comment-25601061-20170629201033

{a,b} have a growth rate of 2

{a,b,c} have a growth rate of ω

{a,b,c,d} have a growth rate of ω+1

{a,b,c,d,e} have a growth rate of ω+2

{a&b} have a growth rate of ω2

{(a&b)&1} have a growth rate of ω2+1

{(a&b)&c} have a growth rate of ω2+2

{a(b)a} have a growth rate of ω3

{a(a(b)a)a} (your {a({a(b)a})a}) have a growth rate of ω3+1

{a+#:(b)} have a growth rate of ω4

{a:C++(b)1} have a growth rate of ω4+1

{a:C++(b)c} have a growth rate of ω4+2

{a,b[c]} is ill-defined