Skip to main content
Log in

A superposition basis in the class of Kal'mar elementary functions

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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.

Literature cited

  1. A. Grzegorczyk, Some Classes of Recursive Functions, Rozprawy Matematyczne, IV, Warsawa (1953).

  2. D. Rödding “Über die Eliminierbarkeit von Definitions-schemata in der Theorie der rekursiven Funktionen,” Z. Math. Logik Grundl. Math.,10, No. 4, 315–330 (1964).

    Google Scholar 

  3. C. Parsons, “Hierarchies of primitive recursive functions,” Z. Math. Logik Grundl. Math.,14, No. 4, 357–376 (1968).

    Google Scholar 

  4. Yu. V. Matiyasevich, “The diophantine representation of enumerable predicates,” Izv. Akad. Nauk SSSR, Ser. Mat.,35, No. 1, 3–30 (1971).

    Google Scholar 

  5. Yu. V. Matiyasevich, “A class of criteria for simplicity, formulated in terms of the divisibility of binomial coefficients,” Zap. Nauch. Sem. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,67, 167–183 (1977).

    Google Scholar 

  6. D. A. Zakharov, Recursive Functions [in Russian], Novosibirsk State Univ. (1970).

  7. M. Davis, H. Putnam and J. Robinson, “The decision problem for exponential diophantine equations,” Ann. Math.,74, No. 3, 425–436 (1961).

    Google Scholar 

  8. L. Adleman and K. Manders, “Computational complexity of decision procedures for polynomials,” 16th Annual Symp. Found. Comput. Sci., New York, 169–177 (1975).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 27, No. 3, pp. 321–332, March, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marchenkov, S.S. A superposition basis in the class of Kal'mar elementary functions. Mathematical Notes of the Academy of Sciences of the USSR 27, 161–166 (1980). https://doi.org/10.1007/BF01140159

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01140159

Keywords

Navigation