Buchholz's psi-functions: Difference between revisions
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* \(C_\nu^0(\alpha) = \Omega_\nu\)
* \(C_\nu^{n+1}(\alpha) = C_\nu^n(\alpha) \cup \{\gamma + \delta, \
* \(C_\nu(\alpha) = \bigcup\{C_\nu^n(\alpha): n < \omega\}\)
* \(\psi_\nu(\alpha) = \operatorname{mex}(C_\nu(\alpha))\), where \(\operatorname{mex}\) denotes minimal excludant.
Line 17:
* \(C_\nu^0(\alpha) = \Omega_\nu\)
* \(C_\nu^{n+1}(\alpha) = C_\nu^n(\alpha) \cup \{\gamma + \delta, \
* \(C_\nu(\alpha) = \bigcup\{C_\nu^n(\alpha): n < \omega\}\)
* \(\psi_\nu(\alpha) = \operatorname{mex}(C_\nu(\alpha))\), where \(\operatorname{mex}\) denotes minimal excludant.
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