The MacLaurin´s and Taylor´s series expansions of the symbolic multiple valued logic functions

Author

Chung, Hwan Mook ; Pi, Su Young ; Rey, Siegfried

Author_Institution

Fac. of Electron. & Inf. Eng., Catholic Univ. of DaeguHyosung, Kyungbook, South Korea

fYear

1998

fDate

27-29 May 1998

Firstpage

65

Lastpage

70

Abstract

Generally, multiple valued logic algebra is based on the number system of modulo-M. In this paper, characters a, b, c,… each of which represents the independent state, are regarded as the elements of the symbolic multiple valued logic. By using set theory, the symbolic multiple valued logic and their functions are defined. Variations of the symbolic logic function due to the variation of a variable and their properties are suggested and analyzed. With these variations, the MacLaurin´s and Taylor´s series expansions of the symbolic multiple valued logic functions are proposed and proved. The theory and properties may be available in the design and modeling of the hardware or intelligent system

Keywords

Boolean functions; multivalued logic; symbol manipulation; Boolean derivative; Boolean differentiation; Boolean function; MacLaurin´s and Taylor´s series; MacLaurin´s series expansion; Taylor´s series expansion; multiple valued logic algebra; symbolic logic function; symbolic multiple valued logic functions; Algebra; Boolean functions; Calculus; Diodes; Hardware; Intelligent systems; Logic functions; Multivalued logic; Set theory; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Multiple-Valued Logic, 1998. Proceedings. 1998 28th IEEE International Symposium on

Conference_Location

Fukuoka

ISSN

0195-623X

Print_ISBN

0-8186-8371-6

Type

conf

DOI

10.1109/ISMVL.1998.679291

Filename

679291