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Initial segments and implications for the structure of degrees

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Conference in Mathematical Logic — London ’70

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 255))

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References

  1. L. Feiner, The strong homogeneity conjecture, Jour. Symb. Logic, 35 (1970), 375–377.

    Article  MathSciNet  MATH  Google Scholar 

  2. D. F. Hugill, Initial segments of Turing degrees, Proc. Lond. Math. Soc., 19 (1969), 1–15.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. H. Lachlan, Distributive initial segments of the degrees of unsolvability, Zeits. für math. Logik und Grund. der Math., 14 (1968), 457–472.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Lerman, Initial segments of the degrees of unsolvability, Annals of Math. 93 (1971), 365–389.

    Article  MathSciNet  MATH  Google Scholar 

  5. D. A. Martin, Category, measure and the degrees of unsolvability, (unpublished manuscript).

    Google Scholar 

  6. H. Rogers, Theory of recursive functions and effective computability, McGraw Hill (1967).

    Google Scholar 

  7. G. E. Sacks, Degrees of Unsolvability, Annals of Mathematics Study No. 55, Princeton (1963).

    Google Scholar 

  8. J. R. Shoenfield, A theorem on minimal degrees, Jour. Symb. Logic 31 (1966), 539–544.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. K. Thomason, On initial segments of hyperdegrees, Jour. Symb. Logic 35 (1970), 189–197.

    Article  MathSciNet  MATH  Google Scholar 

  10. C. E. M. Yates, Initial segments of the degrees of unsolvability, Part I: A Survey, Mathematical Logic and the Foundations of Set Theory, North-Holland (1970), 63–83.

    Google Scholar 

  11. C. E. M. Yates, Initial segments of the degrees of unsolvability, Part II: Minimal Degrees, Jour. Symb. Logic 35 (1970), 243–266.

    Article  MathSciNet  MATH  Google Scholar 

  12. C. E. M. Yates, Initial segments of the degrees, Parts III and IV (in preparation).

    Google Scholar 

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Wilfrid Hodges

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© 1972 Springer-Verlag

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Yates, C.E.M. (1972). Initial segments and implications for the structure of degrees. In: Hodges, W. (eds) Conference in Mathematical Logic — London ’70. Lecture Notes in Mathematics, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059550

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  • DOI: https://doi.org/10.1007/BFb0059550

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  • Print ISBN: 978-3-540-05744-4

  • Online ISBN: 978-3-540-37162-5

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