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The Π 11 -comprehension schema and ω-rules

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Book cover Proceedings of the Summer School in Logic Leeds, 1967

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 70))

Work partially supported by National Science Foundation grant GP-6132.

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References

  1. G. Gentzen, Beweisbarkeit und Unbeweisbarkeit von Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie, Math. Ann., 119 (1943), 140–161.

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  2. A. Kino, On provably recursive functions and ordinal recursive functions, to appear in J. Math. Soc. Japan.

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  3. G. Kreisel, Mathematical Logic, Lectures on Modern Mathematics, vol. III, 95–195, New York, 1965.

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  4. K. Schütte, Beweistheorie, Springer, 1960.

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  5. G. Takeuti, A remark on Gentzen's paper ‘Beweisbarkeit und Unbeweisbarkeit von Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie', I, II, Proc. Japan Acad., 39 (1963), 263–269.

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  6. G. Takeuti, Consistency proofs of subsystems of classical analysis, Ann. of Math., 86 (1967), 299–348.

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  7. G. Takeuti and M. Yasugi, Reflection principles of subsystems of analysis, to appear.

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Authors
  1. Gaisi Takeuti
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M. H. Löb

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© 1968 Springer-Verlag

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Takeuti, G. (1968). The Π 11 -comprehension schema and ω-rules. In: Löb, M.H. (eds) Proceedings of the Summer School in Logic Leeds, 1967. Lecture Notes in Mathematics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079103

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  • DOI: https://doi.org/10.1007/BFb0079103

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04240-2

  • Online ISBN: 978-3-540-35886-2

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