User blog comment:Nayuta Ito/faketest/e0/@comment-30754445-20180804174000/@comment-30754445-20180804210659

@Cat

"Why do you think UNOCF doesn't reach normal psi(W_3)"

Because the equations that Nayuta Ito mentioned for psi(W_n) are precisely the way psi(psi_2(n)) is normally defined.

The only way it could be stronger is if there was some additional feature that creates all the intermediate steps that seem to be missing. And I don't see any hint of such a feature.

And if you want me to be even more precise:

How do you write the ordinal ψ(εΩ+1ω) in this system?

P.S.

U(Ω2+Ω) cannot be ψ(εε Ω+1+1 ), given that U(Ω2+Ω2) was given as ψ(εΩ+2).

(I'm using "U" for the UNOCF functions and ψ for the ordinary ones)