User blog:Bubby3/Super Fast-growing Ordinal-collapsing function

pDAN
My OCF is A(...) It can be represented as a binary theta-like function, or a unary psi-like function

\(\psi_{A(0,1+n)}(m)\) in my system is equal to \(\psi_n(m)\), when n is a number.

A(1+n) corresponds to \(Omega_n\) execpt when n is a psi subscript

A(1,0) corresponds to the inaccessible cardinal

A(1+a,b) = I(a,b)

The reason why this function is so strong is that A(1,0,0) or A(B,0) has level Mahlo cardinal, not I(M,0).

Analogy: This function is to pDAN as theta function is to EAN.

Comparison with SAN

A(1,0) has level {1,,1,,2} or I A(1,1) has level {1,,1,,3} or I(1,0)

A(2,0) has level {1,,1,,1,,2} or I(2,0)

A(1,0,0) has level {1{1,,2},,2} or M

A(1,0,1) has level {1{1,,2},,3} or M2

A(1,1,0) has level {1{1,,2},,1,,2} or M(1,0)

A(2,0,0) has level {1{1,,2},,1{1,,2},,2}

A(1,0,0,0) has level {1{1,,3},,2} or K

A(1,0,0,0,0) has level {1{1,,4},,2} or U

A(BB,0) has level {1{1,,1,,2},,2} or T

\(A(\varepsilon_{A+1})\) has level limit of pDAN.