Title :
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
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;
Conference_Titel :
Multiple-Valued Logic, 1998. Proceedings. 1998 28th IEEE International Symposium on
Conference_Location :
Fukuoka
Print_ISBN :
0-8186-8371-6
DOI :
10.1109/ISMVL.1998.679291