References

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  2. Frédéric Blanqui, Jean-Pierre Jouannaud & Mitsuhiro Okada (2018): Corrigendum to “Inductive-data-type systems” [Theoret. Comput. Sci. 272 (1–2) (2002) 41–68]. Theoretical Computer Science, doi:10.1016/j.tcs.2018.01.010.
  3. Wilfried Buchholz (1987): An independence result for (Π^1_1-CA)+BI. Annals of Pure and Applied Logic 33, pp. 131–155, doi:10.1016/0168-0072(87)90078-9.
  4. Nachum Dershowitz (1987): Termination of rewriting. Journal of Symbolic Computation 3(1), pp. 69–115, doi:10.1016/S0747-7171(87)80022-6.
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  7. Masahiro Hamano & Mitsuhiro Okada (1998): A direct independence proof of Buchholz's Hydra Game on finite labeled trees. Archive for Mathematical Logic 37(2), pp. 67–89, doi:10.1007/s001530050084.
  8. Ariya Isihara (2007): Hydra Games and Tree Ordinals. In: Daniel Leivant & Ruy de Queiroz: Logic, Language, Information and Computation. Springer Berlin Heidelberg, Berlin, Heidelberg, pp. 238–247, doi:10.1007/978-3-540-73445-1_17.
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  10. Mitsuhiro Okada (1987): A Simple Relationship between Buchholz's New System of Ordinal Notations and Takeuti's System of Ordinal Diagrams. The Journal of Symbolic Logic 52(3), pp. 577–581, doi:10.2969/jmsj/01340346.
  11. Mitsuhiro Okada (1988): Note on a Proof of the Extended Kirby-Paris Theorem on Labeled Finite Trees. European Journal of Combinatorics 9(3), pp. 249–253, doi:10.1016/S0195-6698(88)80016-7.
  12. Mitsuhiro Okada & Gaisi Takeuti (1987): On the theory of quasi-ordinal diagrams. In: Logic and combinatorics (Arcata, Calif., 1985), Contemp. Math. 65. Amer. Math. Soc., Providence, RI, pp. 295–308, doi:10.1090/conm/065/891255.
  13. Gaisi Takeuti (1987): Proof Theory, second edition, Studies in Logic and the Foundations of Mathematics 81. North-Holland, Amsterdam.

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