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Elementary properties of a system of fundamental sequences for Γo

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1388)

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References

  1. Kadota, N., and Aoyama, K., A note on Schmidt's built-up systems of fundamental sequences, to appear in RIMS, Kokyuroku, Kyoto Univ.

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  2. Ketonen, J., and Solovay, R., Rapidly growing Ramsey functions, Ann. of Math. 113 (1981), 267–314.

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  3. Kurata, R., Paris-Harrington principles, reflection principles, and transfinite induction up to ε o, Ann. Pure Appl. Logic 31 (1986), 237–256.

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  4. Kurata, R., and Shimoda, M., Some combinatorial principles equivalent to restrictions of transfinite induction up to Γo, manuscript.

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  5. Schmidt, D., Built-up systems of fundamental sequences and hierarchies of number-theoretic functions, Arch. math. Logik 18 (1976), 47–53. Postscript, 18 (1977), 145–146.

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© 1989 Springer-Verlag

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Shimoda, M. (1989). Elementary properties of a system of fundamental sequences for Γo . In: Shinoda, J., Tugué, T., Slaman, T.A. (eds) Mathematical Logic and Applications. Lecture Notes in Mathematics, vol 1388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083668

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  • DOI: https://doi.org/10.1007/BFb0083668

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51527-2

  • Online ISBN: 978-3-540-48220-8

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