AN ALGEBRA FOR MULTIPLE-VALUED LOGIC SYSTEMS

被引：0

作者：

DEVGAN, A

机构：

来源：

JOURNAL OF THE INSTITUTION OF ELECTRONICS AND TELECOMMUNICATION ENGINEERS | 1994年 / 40卷 / 2-3期

关键词：

MULTIPLE VALUED LOGIC; ALGEBRA;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An algebra for multiple valued logic systems is presented in this paper. This algebra uses r - 1 new concurrent operators along with the traditional supremum and cycle operators. it is also shown that r + 1 operators are required to generate any r-valued logic function. Five new theorems, similar to DeMorgan's Laws, are then used to show that only one fundamental mapping is sufficient to represent any multi-valued logic function.

引用

页码：85 / 91

页数：7

共 50 条

[1] Independence of the axioms of Boolean algebra in multiple-valued logic
Ninomiya, T
Mukaidono, M
[J]. 30TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC, PROCEEDINGS, 2000, : 107 - 112
[2] A learning multiple-valued logic network: Algebra, algorithm, and applications
Tang, Z
Cao, QP
Ishizuka, O
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1998, 47 (02) : 247 - 251
[3] A MINIMIZATION TECHNIQUE FOR MULTIPLE-VALUED LOGIC SYSTEMS
ALLEN, CM
GIVONE, DD
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1968, C 17 (02) : 182 - +
[4] MODULAR REPRESENTATION OF MULTIPLE-VALUED LOGIC SYSTEMS
GREEN, DH
TAYLOR, IS
[J]. PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1974, 121 (06): : 409 - 418
[5] Algebra for multiple valued logic systems
Devgan, Anirudh
[J]. IETE Journal of Research, 1994, 40 (2-3) : 85 - 91
[6] MULTIPLE-VALUED LOGIC FOR OPTOELECTRONICS
ABRAHAM, G
[J]. OPTICAL ENGINEERING, 1986, 25 (01) : 3 - 13
[7] MULTIPLE-VALUED LOGIC - INTRODUCTION
BUTLER, JT
[J]. COMPUTER, 1988, 21 (04) : 13 - 15
[8] MULTIPLE-VALUED LOGIC - AN IMPLEMENTATION
DAO, TT
CAMPBELL, DM
[J]. OPTICAL ENGINEERING, 1986, 25 (01) : 14 - 21
[9] On solutions to systems of functional equations of multiple-valued logic
Marchenkov, S. S.
Fedorova, V. S.
[J]. DOKLADY MATHEMATICS, 2009, 79 (03) : 382 - 383
[10] On solutions to systems of functional equations of multiple-valued logic
S. S. Marchenkov
V. S. Fedorova
[J]. Doklady Mathematics, 2009, 79 : 382 - 383

← 1 2 3 4 5 →