Title :
Restriction-Closed Hyperclones
Author_Institution :
Bayard Rustin Educ. Complex, New York, NY
Abstract :
The sets of multi-valued operations closed with respect to compositions and restrictions, called restriction- closed hyperclones, defined on the finite set E(k)={0, 1,..., k-1} (kges2) are investigated. The set of all maximal restriction-closed pre-hyperclones (composition without projections) is obtained. Based on it the analogue of Slupecki completeness criteria in restriction-closed pre-hyperclones is established. Next the problem of classification of restriction-closed hyperclones according to their single-valued clone component is considered.
Keywords :
algebra; Slupecki completeness criteria; multivalued operations; restriction-closed hyperclones; single-valued clone component; Algebra; Cloning; Feedback; Logic functions; Hyperclone; Hyperoperation; Invariant relation; Restriction of hyperoperation;
Conference_Titel :
Multiple-Valued Logic, 2007. ISMVL 2007. 37th International Symposium on
Conference_Location :
Oslo
Print_ISBN :
0-7695-2831-7
DOI :
10.1109/ISMVL.2007.50
