User blog comment:Ikosarakt1/Fast-growing hierarchy/@comment-78.22.170.27-20130619192628/@comment-5529393-20130620103240

I'm familiar with the standard fundamental sequences for ordinals up to \(\psi_0 (\Omega_\omega)\). I've tried to work out the fundamental sequences for higher ordinals by hand, but I'm not sure if I'm correct or not. Dr. Weiermann, is there a reference for fundamental sequences for ordinal notations above \(\psi_0 (\Omega_\omega)\)?

Also, I'm familiar with ordinal notations up to the ordinal for \(KP + \Pi-3\) reflection, but the stronger ordinal notations have me at a loss. Do you understand any ordinal notation stronger than \(KP + \Pi-3\) reflection?