Read-Once Functions of the Algebra of Logic in Pre-Elementary Bases
- Authors: Sharankhaev I.K.1
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Affiliations:
- Ul. Smolina 24a
- Issue: Vol 58, No 2 (2019)
- Pages: 186-195
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234131
- DOI: https://doi.org/10.1007/s10469-019-09536-0
- ID: 234131
Cite item
Abstract
Functions of the algebra of logic that can be realized by read-once formulas over finite bases are studied. Necessary and sufficient conditions are derived under which functions of the algebra of logic are read-once in pre-elementary bases {−, ·,∨, 0, 1, x1 · . . . · xn ∨ \( {\overline{x}}_1 \)· . . . · \( {\overline{x}}_n \)} and {−, ·,∨, 0, 1, x1(x2 ∨ x3 · . . . · xn) ∨ x2\( {x}_2{\overline{x}}_3 \) · . . . · \( {\overline{x}}_n \)} where n ≥ 4. This completes the description of classes of read-once functions of the algebra of logic in all pre-elementary bases.
About the authors
I. K. Sharankhaev
Ul. Smolina 24a
Author for correspondence.
Email: goran5@mail.ru
Russian Federation, Ulan-Ude, 67000
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