Skip to main content
Log in

Complexity properties of recursively enumerable sets andsQ-completeness

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

The notions of effectively subcreative set and strongly effectively acceleratable set are introduced. It is proved that the notions of effectively subcreative set, strongly effectively acceleratable set, andsQ-complete recursively enumerable set are equivalent.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Blum and I. Marques, “Complexity properties of recursively enumerable sets,”J. Symbolic Logic,38, No. 4, 579–593 (1973).

    MathSciNet  Google Scholar 

  2. J. T. Gill and P. H. Morris, “On subcreative sets ands-reducibility,”J. Symbolic Logic,39, No. 4, 669–677 (1974).

    MathSciNet  Google Scholar 

  3. H. Rogers,Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York-St Louis-San Francisco-Toronto-London-Sydney (1967).

    Google Scholar 

  4. M. Blum, “A machine-independent theory of the complexity of recursive functions,”J. Assoc. Comput. Mach.,14, 322–336 (1967).

    MATH  MathSciNet  Google Scholar 

  5. R. Sh. Omanadze, “Complexity properties of recursively enumerable sets andsQ-complete sets,”Soobshch. Akad. Nauk Gruzii,146 No. 1, 9–12 (1992).

    MATH  MathSciNet  Google Scholar 

  6. R. M. Friedberg and H. Rogers, “Reducibility and completeness for sets of integers,”Z. Math. Logik Grundlag. Math.,5, 117–125 (1959).

    MathSciNet  Google Scholar 

  7. V. K. Bulitko, “On methods for the characterization of complete, sets,”Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],55, No. 2, 227–253 (1991).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 425–429, September, 1997.

Translated by V. N. Dubrovsky

Rights and permissions

Reprints and permissions

About this article

Cite this article

Omanadze, R.S. Complexity properties of recursively enumerable sets andsQ-completeness. Math Notes 62, 356–359 (1997). https://doi.org/10.1007/BF02360877

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02360877

Key words

Navigation