DocumentCode
2295915
Title
The radii of Sheffer functions over E(3)
Author
Beckman, Jeffrey ; Wesselkamper, T.C.
Author_Institution
Graduate Sch., City Univ. of New York, NY, USA
fYear
1995
fDate
23-25 May 1995
Firstpage
72
Lastpage
77
Abstract
If f is a two place function over E(k) that is either Sheffer or Sheffer with constants, then the radius of f is that least natural number r such that each two place function over E(k) can be defined as the composition of r or fewer copies of f. The radii of the 322 isotopy classes of Sheffer functions over E(3) are calculated. A sequence of useful conditions that a Sheffer function have small radius is developed; a sequence of useful conditions that a symmetric Sheffer function have small radius is developed
Keywords
functions; multivalued logic; E(3); Sheffer functions radii; isotopy classes; least natural number; symmetric Sheffer function; two place function; Circuits; Educational institutions; Performance evaluation;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic, 1995. Proceedings., 25th International Symposium on
Conference_Location
Bloomington, IN
ISSN
0195-623X
Print_ISBN
0-8186-7118-1
Type
conf
DOI
10.1109/ISMVL.1995.513512
Filename
513512
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