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Sections and envelopes of type 2 objects

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Logic Symposia Hakone 1979, 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 891))

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References

  1. J. E. Fenstad; General Recursion Theory. An Axiomatic Approach, Springer-Verlag (Berlin) 1980.

    Book  MATH  Google Scholar 

  2. R. O. Gandy; Proof of Mostowski's conjecture, Bull. Acad. Polon. Sci. 8(1960), 571–575.

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  3. T. J. Grilliot; On effectively discontinuous type 2 objects, Jour. Symb. Logic 36(1971), 245–248.

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  4. P. G. Hinman; Ad Astra per Aspera: Hierarchy Schemata in Recursive Function Theory, Ph. D. thesis, University of California, Berkeley, 1966.

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  5. S. C. Kleene; Recursive functionals and quantifiers of finite types II, Trans. Amer. Math. Soc. 108 (1963), 106–142.

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  6. G. E. Sacks; The 1-section of a type n object, in Generalized Recursion Theory, North-Holland (Amsterdam) 1974.

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  7. T. Tugué; Predicates recursive in a type 2 object and Kleene hierarchies, Comment. Math. Univ. St. Paul 8(1960), 97–117.

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  8. S. S. Wainer; The 1-section of a non-normal type 2 object, in J. E. Fenstad, R. O. Gandy and G. E. Sacks (eds.): Generalized Recursion Theory II, North-Holland 1978, 407–417.

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Gert H. Müller Gaisi Takeuti Tosiyuki Tugué

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© 1981 Springer-Verlag

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Shinoda, J. (1981). Sections and envelopes of type 2 objects. In: Müller, G.H., Takeuti, G., Tugué, T. (eds) Logic Symposia Hakone 1979, 1980. Lecture Notes in Mathematics, vol 891. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090985

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  • DOI: https://doi.org/10.1007/BFb0090985

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11161-0

  • Online ISBN: 978-3-540-38633-9

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