Equational Closure and Closure with Respect to Enumeration on a Set of Partial Multivalued Logic Functions


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Abstract

It is proven that for any k ⩾ 2, operators of equational closure and closure with respect to enumeration (Π-operator) generate one and the same classification on set Pk* of partial k-valued logic functions. Thirteen II-precomplete classes are identified in class P3*.

About the authors

S. S. Marchenkov

Faculty of Computational Mathematics and Cybernetics

Author for correspondence.
Email: ssmarchen@yandex.ru
Russian Federation, Moscow, 119991

V. A. Prostov

Faculty of Computational Mathematics and Cybernetics

Author for correspondence.
Email: vasyapro08@mail.ru
Russian Federation, Moscow, 119991

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