Read-Once Functions of the Algebra of Logic in Pre-Elementary Bases


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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(x2x3 · . . . · 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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature