Skip to main content
SpringerLink
Log in

Behavior of the shannon function for some families of classes of three-valued logic functions

  • Brief Communications
  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

A certain countable set of families of classes of three-valued logic functions taking values from the set {0,1} is considered. For each class from these families and for each its finite generating system, the order of growth of the corresponding Shannon depth function is obtained.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. B. Ugolnikov, “Depth and Complexity of Formulas Realizing Functions from Closed Classes,” Doklady Akad. Nauk SSSR 298(6), 1341 (1988).

    MathSciNet  Google Scholar 

  2. A. B. Ugolnikov, “Depth of Formulas in Incomplete Bases,” Matem. Voprosy Kibern., No. 1, 242 (1988).

  3. A. B. Ugolnikov, “Closed Post Classes,” Izvestiya Vuzov. Matem., No. 7, 79 (1988).

  4. S. V. Yablonskii, Introduction to Discrete Mathematics (Vysshaya Shkola, Moscow, 2008) [in Russian].

    Google Scholar 

  5. D. Lau, Function Algebras on Finite Sets (Springer-Verlag, Berlin, 2006).

    MATH  Google Scholar 

  6. D. A. Dagaev, “Depth and Complexity of Formulas Realizing Functions From Some Classes of Three-Valued Logic,” in: Proc. XV Int. Conf. “Problems of Theoretical Cybernetics,” Kazan’, June 2–7, 2008 (Otechestvo, Kazan’, 2008), p.24.

    Google Scholar 

  7. A. B. Ugolnikov, “Depth of Formulas in Certain Classes of k-Valued Logic,” Vestn. Mosk. Univ., Matem. Mekhan., No. 4, 44 (1991).

Download references

Author information

Authors and Affiliations

  1. National Research University Higher School of Economics, 20 Myasnitskaya st., Moscow, 101000, Russia

    D. A. Dagaev

Authors
  1. D. A. Dagaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © D.A. Dagaev, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 4, pp. 58–61.

About this article

Cite this article

Dagaev, D.A. Behavior of the shannon function for some families of classes of three-valued logic functions. Moscow Univ. Math. Bull. 67, 182–184 (2012). https://doi.org/10.3103/S0027132212040092

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132212040092

Keywords

Search

Navigation