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Fine structure theory of the constructible universe in α- and β-recursion theory

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Higher Set Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 669))

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References

  1. K.J. Devlin, Aspects of constructibility, Lecture Notes in Mathematics Vol.354, Springer Verlag

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  2. S.D. Friedman, Recursion on Inadmissible Ordinals, Ph.D.Thesis, M.I.T., 1976

    Google Scholar 

  3. S.D. Friedman and G.E. Sacks, Inadmissible Recursion Theory, BAMS Vol. 83 No.1, 1977

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  4. S.D. Friedman, β-Recursion Theory, to appear

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  5. S.D. Friedman, Post's Problem without Admissibility, to appear

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  6. W. Maass, Inadmissibility, tame RE Sets and the admissible collapse, to appear in Ann. Math. Logic

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  7. W. Maass, High α-recursively enumerable degrees, to appear

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  8. G.E. Sacks, RE sets higher up, Proceedings of the Int. Congress for Logic, Phil. and Meth. of Science 1975, to appear

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  9. G.E. Sacks and S.G. Simpson, The α-finite injury method, Ann. Math. Logic 4 (1972) 323–367

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  10. R.A. Shore, Σn sets which are Δn incomparable (uniformly), J. Symb. Logic 39 (1974) 295–304

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  11. R.A. Shore, The recursively enumerable α-degrees are dense, Ann. Math. Logic 9 (1976) 123–155

    Article  MathSciNet  MATH  Google Scholar 

  12. R.A. Shore, Some more minimal pairs of α-recursively enumerable degrees, to appear

    Google Scholar 

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Gert H. Müller Dana S. Scott

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© 1978 Springer-Verlag

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Maass, W. (1978). Fine structure theory of the constructible universe in α- and β-recursion theory. In: Müller, G.H., Scott, D.S. (eds) Higher Set Theory. Lecture Notes in Mathematics, vol 669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103107

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  • DOI: https://doi.org/10.1007/BFb0103107

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08926-1

  • Online ISBN: 978-3-540-35749-0

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