Skip to main content
Log in

The complexity of the realization of almost all functions of the algebra of logic by the method of cascades

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

Abstract

We give an asymptotic bound for the complexity of almost all functions for the method of cascades.

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

Literature cited

  1. S. V. Yablonskii, “Functional constructions in k-valued logic,” Trudy Matem. In-ta Akad. Nauk SSSR,51, 5–142 (1958).

    Google Scholar 

  2. G. N. Povarov, “The mathematical theory of the synthesis of contact (1, k)-poles,” Dokl. Akad. Nauk SSSR,100, No. 5, 909–912 (1955).

    Google Scholar 

  3. V. N. Kuznetsov, “The realization of the functions of algebraic logic by the cascade method,” Kibernetika,1, 51–59, Kiev (1972).

    Google Scholar 

  4. S. V. Yablonskii, “Algorithmic difficulties in the synthesis of minimal contact schemes,” Problemy Kibernetiki, No. 2, 75–121, Moscow (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 12, No. 6, pp. 769–780, December, 1972.

In conclusion the author wishes to express his deep gratitude to S. V. Yabionskii under whose direction this paper was written.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Denev, I.D. The complexity of the realization of almost all functions of the algebra of logic by the method of cascades. Mathematical Notes of the Academy of Sciences of the USSR 12, 897–903 (1972). https://doi.org/10.1007/BF01156053

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01156053

Navigation