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The index sets of m-degrees

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Literature Cited

  1. H. Rogers, “Computing degrees of unsolvability,” Math. Ann.,138, 125–140 (1959).

    Google Scholar 

  2. C. E. M. Yates, “On the degrees of index sets. I,” Trans. Amer. Math. Soc.121, 309–318 (1966).

    Google Scholar 

  3. C. E. M. Yates, “On the degrees of index sets. II,” Trans. Amer. Math. Soc.,135, 249–267 (1969).

    Google Scholar 

  4. Yu. L. Ershov, “On index sets,” Sibirsk. Matem. Zh.11, No. 2, 326–342 (1970).

    Google Scholar 

  5. Y. Susneki, “Enumeration of recursive sets” J. Symbolic Logic,24, 311 (1959).

    Google Scholar 

  6. R. Freidberg “Three theorems on recursive enumeration,” J. Symbolic Logic,23, 309–316 (1958).

    Google Scholar 

  7. A. I. Mal'tsev, Algorithms and Recursive Functions [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  8. H. Rogers, Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York (1967).

    Google Scholar 

  9. S. D. Denisov, “On m-degrees of recursively enumerable sets,” Algebra i Logika (Seminar) [in Russian], Inst. Matem., Sibirskoe Otdelenie Akad. Nauk SSSR9, No. 4, 422–427 (1970).

    Google Scholar 

  10. A. Lachlan “Initial segments of one-one degrees,” Pacific J. Math.,29, 351–367 (1969).

    Google Scholar 

  11. Yu. L. Ershov, “Hyperhypersimple m-degrees,” Algebra i Logika (Seminar) [in Russian], Inst. Matem., Sibirskoe Otdelenie Akad. Nauk SSSR,8, No. 5, 523–552 (1969).

    Google Scholar 

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Authors
  1. S. Kallibekov
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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 6, pp. 1292–1300, November–December, 1971.

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Kallibekov, S. The index sets of m-degrees. Sib Math J 12, 931–937 (1971). https://doi.org/10.1007/BF00966536

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