How to Compare Buchholz-Style Ordinal Notation Systems with Gordeev-Style Notation Systems
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Springer International Publishing
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http://link.springer.com/content/pdf/10.1007/978-3-319-20028-6_36
Reference12 articles.
1. Buchholz, W.: Normalfunktionen und konstruktive Systeme von Ordinalzahlen. In: $$\models $$ ⊧ ISILC Proof Theory Symposion (Proceedings of the International Summer Institute and Logic Colloquium, Kiel, 1974). Lecture Notes in Mathematics, vol. 500, pp. 4–25. Springer, Berlin (1975)
2. Buchholz, W.: A new system of proof-theoretic ordinal functions. Ann. Pure Appl. Log. 32(3), 195–207 (1986)
3. Buchholz, W., Feferman, S., Pohlers, W., Sieg, W.: Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-theoretical Studies. Lecture Notes in Mathematics, vol. 897. Springer, Berlin (1981)
4. Crossley, J.N., Kister, J.B.: Natural well-orderings. Arch. Math. Logik Grundlag. 26(1–2), 57–76 (1986/1987)
5. Gordeev, L.: Generalizations of the one-dimensional version of the Kruskal-Friedman theorems. J. Symb. Log. 54(1), 100–121 (1989)
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1. … and so on: Schütte on Naming Ordinals;The Legacy of Kurt Schütte;2020
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