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Inductive definitions: Positive and monotone

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Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 537))

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References

  1. D. Cenzer, Monotone inductive definitions over the continuum, J. Symbolic Logic, to appear.

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  2. D. Cenzer, Parametrized inductive definitions and recursive inductive operators over the continuum, Fund. Math., to appear.

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  3. L.A. Harrington and A.S. Kechris, On Monotone vs. Non-Monotone Induction, mimeographed notes.

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  4. P. Hinman, Recursion-Theoretic Hierarchies, Springer, to appear.

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  5. S.C. Kleene, Recursive functionals and quantifiers of finite types, I, Trans. Amer. Math. Soc. 91, (1959), 1–52.

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  6. Y.N. Moschovakis, Elementary Induction on Abstract Structures, North-Holland, Amsterdam (1974).

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  7. -, Structural characterizations of classes of relations, Generalized Recursion Theory (J. Fenstad and P. Hinman, Ed.), North-Holland, Amsterdam, (1974), 53–80.

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  8. G. Sacks, The 1-section of a type n object, Gen. Rec. Theory, 81–93.

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  9. C. Spector, Inductively defined sets of natural numbers, Infinitistic Methods, Pergamon, Oxford, 97–102 (1961).

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  10. D. Cenzer, Ordinal recursion and inductive definitions, in Gen. Rec, Theory 221–264.

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Authors and Affiliations

  1. University of Florida, USA

    Douglas Cenzer

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  1. Douglas Cenzer
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Wiktor Marek Marian Srebrny Andrzej Zarach

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© 1976 Springer-Verlag

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Cenzer, D. (1976). Inductive definitions: Positive and monotone. In: Marek, W., Srebrny, M., Zarach, A. (eds) Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski. Lecture Notes in Mathematics, vol 537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096893

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  • DOI: https://doi.org/10.1007/BFb0096893

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07856-2

  • Online ISBN: 978-3-540-38122-8

  • eBook Packages: Springer Book Archive

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