The article considers polynomial specification of Boolean functions. Efficient algorithms are proposed for recognition of Moebius-invariant functions and even functions. A relationship is established between polynomials of even functions and polynomials of Moebius-invariant functions.
Similar content being viewed by others
References
S. N. Selezneva, “Complexity of deciding completeness of a set of Boolean functions realized by Zhegalkin polynomials,” Diskr. Matem., 4, No. 9, 34–41 (1997).
S. N. Gorshkov, “Complexity of deciding multi-affinity, bijunctivity, weak positivity, and weak negativity of a Boolean function,” Obozrenie Prikl. Promyshl. Matem., ser. Diskr. Matem., 4, No. 2, 216–237 (1997).
S. V. Yablonskii, Introduction to Discrete Mathematics [in Russian], Nauka, Moscow (1986).
J. Pieprzyk and X.-M. Zhang, “Computing Mobius transforms of Boolean functions and characterising coincident Boolean functions,” in: Rouen: Publications des Universites de Rouen et du Havre, Rouen, France (2007), pp. 135–151.
A. Aho, J. Hopcroft, and J. Ullman, The Design and Analysis of Computer Algorithms [Russian translation], Mir, Moscow (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Matematika i Informatika, No. 41, 2012, pp. 105–112.
Rights and permissions
About this article
Cite this article
Bukhman, A.V. Recognition of Functions Invariant Under Moebius Transformation and Even Functions Defined in Polynomial Form. Comput Math Model 24, 552–557 (2013). https://doi.org/10.1007/s10598-013-9198-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10598-013-9198-6