Control Systems and Computers, N4, 2019, Article 1

Control Systems and Computers, 2019, Issue 4 (282), pp. 3-13.

UDC 519.713

B.Ye. Rytsar, Doctor (Eng.), Professor, Department of Radioelectronic Devices Systems, Institute of Telecommunications, Radioelectronics and Electronic Engineering, L’viv polytechnic National University, Bandera srt., 12, L’viv, Ukraine, e-mail:

A New Method for Symmetry Recognition in Boolean Functions Based on the Set-Theoretical Logic Differentiation. I

The paper presents a new method for the recognition of the different types of total and partial symmetry in Boolean functions based on the numeric set-theoretical differentiation. The proposed algorithm is based on the theorem on the recognition of different types of partial symmetry. This algorithm, compared to the known, has a relatively less computational complexity of realization due to a comparatively smaller number of operations and procedures necessary for the accomplishment of the given task. This is proved by the presented examples for the recognition of the proposed method of the different types of symmetry in complete and incomplete of Boolean functions, including given in the SOP format, taken for comparison reasons from publications of the well-known authors.

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Keywords: recognition of total and partial symmetry, Boolean function, numeric set-theoretical differentiation.

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 Received  22.07.2019