User blog comment:Eners49/New Notation Idea? (Attempt 2)/@comment-25601061-20180712033049/@comment-35532815-20180712133908

I guess you are right that I could use stronger recursion... but I don't understand something. The two-entry arrays are already as strong as Knuth up-arrows, so that would make them growth rate \(\omega\) in FGH. But you said that {a|b} in my notation also has growth rate \(\omega\). So are you saying that I haven't made any progress from {a, b} to {a|b} or that {a, b} isn't actually as strong as Knuth up arrows?