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The priority method for the construction of recursively enumerable sets

  • The Priority Method
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Cambridge Summer School in Mathematical Logic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 337))

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References

  1. D.A. Martin, The priority method of Sacks, mimeographed.

    Google Scholar 

  2. R.M. Friedberg, Two recursively enumerable sets of incomparable degrees of unsolvability, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 236–238.

    Article  MathSciNet  MATH  Google Scholar 

  3. A.H. Lachlan, Lower bounds for pairs of recursively enumerable degrees, Proc. London Math. Soc. (3) 16 (1966), 537–569.

    Article  MathSciNet  MATH  Google Scholar 

  4. _____, The priority method I, Zeitschr. f. math. Logik und Grundlagen Math. 13 (1967), 1–10.

    Article  MathSciNet  MATH  Google Scholar 

  5. A.A. Mučnik, Negative answer to the problem of reducibility of the theory of algorithms (Russian), Dokl. Akad. Nank SSSR 108 (1956), 194–197.

    Google Scholar 

  6. _____, Solution of Post's reduction problem and of certain other problems in the theory of algorithms (Russian), Trudy Moskov. Mat. Obsc. 7 (1958), 391–405.

    MathSciNet  Google Scholar 

  7. J. Myhill, Review of [6], Math. Reviews #5570 22 (1967), 930.

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  8. G.E. Sacks, On the degrees less than 0′. Ann. of Math. 77 (1963), 211–231.

    Article  MathSciNet  MATH  Google Scholar 

  9. _____, Degrees of Unsolvability, Ann. of Math. Studies 55, Princeton, 1963.

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  10. _____, The recursively enumerable degrees are dense, Ann. of Math. 80 (1964), 300–312.

    Article  MathSciNet  MATH  Google Scholar 

  11. C.E.M. Yates, A minimal pair of recursively enumerable degrees, J. Symb. Logic 31 (1966), 159–168.

    Article  MathSciNet  MATH  Google Scholar 

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A. R. D. Mathias H. Rogers

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© 1973 Springer-Verlag

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Lachlan, A.H. (1973). The priority method for the construction of recursively enumerable sets. In: Mathias, A.R.D., Rogers, H. (eds) Cambridge Summer School in Mathematical Logic. Lecture Notes in Mathematics, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066779

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  • DOI: https://doi.org/10.1007/BFb0066779

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05569-3

  • Online ISBN: 978-3-540-36884-7

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