On solutions to systems of functional equations of multiple-valued logic

被引:0
|
作者
Marchenkov, S. S. [1 ]
Fedorova, V. S. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
基金
俄罗斯基础研究基金会;
关键词
Boolean algebra;
D O I
10.1134/S1064562409030223
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The solutions to systems of functional equations of multiple-valued logic was reported. The study considered general issues concerning solutions to systems of functional equations like the dependence of solutions of functional constants and the possibility of constructing systems of equations with a given unique solution or a given solution set. It was observed that for any function g ∈Q, there existed a system of functional equation over Q with one functional variable for which g was a unique solution. It was also observed in the study that there was a system of functional equations with a unique functional constant. Equations with a single one-place functional variable were also studied with all the operations of the Boolean algebra.
引用
收藏
页码:382 / 383
页数:2
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