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Properties of Logical Functions Implemented by One Generalized Neural Element over the Galois Field

  • Fedir Geche
  • Oksana Mulesa
  • Anatoliy BatyukEmail author
  • Veronika Voloshchuk
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1080)

Abstract

We introduce the concept of multivalued neural element over Galois field relative to any system of characters of group on which we define logical functions. We deduced the criteria of realization of logical functions on such neural elements. Based on spectral attributes of logical functions the method of synthesis of generalized neural elements over Galois field was developed. Invariant operations over logical functions, which are realizable by one generalized neural element relative to the system of characters where no one of them have common parent, were described.

Keywords

Galois field Spectrum of logical function Vector of the structure Basis of a vectors space Character of a group Synthesis Invariant operations 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Departament of Cybernetics and Applied MathematicsUzhhorod National UniversityUzhhorodUkraine
  2. 2.ACS DepartmentLviv Polytechnic National UniversityLvivUkraine

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