Logical matrices reversing operation

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Published: Sep 20, 2025
DOI: https://doi.org/10.51582/interconf.19-20.09.2025.011
Keywords:
finite predicate, Boolean matrix, predicative matrix, disjunction, conjunction, inversion, orthographic logical matrix, logical scalar, reversing of logical matrix
Issue
No. 61(264) (2025): 5th ISPC «Modern Knowledge: Research and Discoveries» (September 19-20, 2025; Vancouver, Canada).
Section
Physics and Maths
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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Main Article Content

Viktor Kruglov
Odessa I.I. Mechnikov National University; Ukraine
Nataliya Yakimova
Odessa I.I. Mechnikov National University; Ukraine

Abstract

In classical linear algebra the machine of matrices is widely used. But the classic linear algebra deals with continuous objects. Logical algebra, built by analogy with the classical linear algebra, builds the same models using discrete objects that have logical structure and obey the relevant laws. This leads to a significant difference in the functioning of the constructed models. This article is devoted to matrices, as elements for which the elementary logical elements are taken Boolean constants or finite predicates of arbitrary arity. In the work investigated the features of the operation of reversing of such matrices. All the results obtained are illustrated with clear examples.


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How to Cite
Kruglov, V., & Yakimova, N. (2025). Logical matrices reversing operation. Scientific Collection «InterConf+», (61(264), 128–136. https://doi.org/10.51582/interconf.19-20.09.2025.011
Author Biographies

Viktor Kruglov, Odessa I.I. Mechnikov National University; Ukraine

Candidate of physical and mathematical sciences, Professor,

Professor of the Department of Methods of Mathematical Physics;

Nataliya Yakimova, Odessa I.I. Mechnikov National University; Ukraine

Candidate of technical sciences, Associate Professor, Associate Professor of the Department of Algebra, Geometry and Differential Equations;

References

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