Implicatively Implicit Extensions of One-Place Function Systems in $${P_{3}}$$

All fifty-five implicatively implicit extensions of one-place function systems of three-valued logic are defined using Boolean algebra. It is established that these extensions are defined by systems of one-place functions containing from one to three functions.

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Publication Details

Journal
Moscow University Computational Mathematics and Cybernetics
Published
2025-09-01
DOI
https://doi.org/10.3103/s0278641925700141
Primary Topic
Polynomial and algebraic computation
Type
article
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0.00
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Implicatively Implicit Extensions of One-Place Function Systems in $${P_{3}}$$

С. С. Марченков
Moscow University Computational Mathematics and Cybernetics
Polynomial and algebraic computation
article

Implicatively Implicit Extensions of One-Place Function Systems in $${P_{3}}$$

С. С. Марченков
article en

Abstract

All fifty-five implicatively implicit extensions of one-place function systems of three-valued logic are defined using Boolean algebra. It is established that these extensions are defined by systems of one-place functions containing from one to three functions.

Moscow University Computational Mathematics and CyberneticsVol. 49(3)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 75%
Polynomial and algebraic computation
DOISourceOpenAlex
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Implicatively Implicit Extensions of One-Place Function Systems in ${P_{3}}$ — С. С. Марченков · Moscow University Computational Mathematics and Cybernetics (2025) | TGRS Research Map | TGRS