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

• Дата: 2019
• Автор: Rytsar, B.Ye.
• Формат: Стаття
• Мова: English
• Опубліковано: Міжнародний науково-навчальний центр інформаційних технологій і систем НАН та МОН України 2019
• Назва видання: Control systems & computers
• Теми: Fundamental Problems in Computer Science
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/181044
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: A New Method for Symmetry Recognition in Boolean Functions Based on the Set-Theoretical Logic Differentiation. II / B.Ye. Rytsar // Control systems & computers. — 2019. — № 5. — С. 5-11. — Бібліогр.: 22 назв. — англ.

The article describes a new method for the recognition of 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 evidenced 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, borrowed for comparison reasons from publications of wellknown authors.