Title :
Hyperclones on a finite set
Author_Institution :
brom@bwalk.dm.com
Abstract :
The composition-closed sets of multivalued operations, called hyperclones, defined on the finite set E(k)={0, 1, …, k-1} (k⩾2) are investigated. It is shown that the lattice of all hyperclones on E(k) is dual atomic and has only the finite number of dual atoms (maximal hyperclones). Some of them are described in this paper. The full list of hyperclones defined on the set E(2) which are closed under an arbitrary restriction of their elements is obtained
Keywords :
multivalued logic; composition-closed sets; dual atomic; dual atoms; finite set; hyperclones; maximal hyperclones; multivalued operations; Cloning; Feedback; Lattices; Logic functions; Mathematical model; Mathematics; Reliability theory;
Conference_Titel :
Multiple-Valued Logic, 1997. Proceedings., 1997 27th International Symposium on
Conference_Location :
Antigonish, NS
Print_ISBN :
0-8186-7910-7
DOI :
10.1109/ISMVL.1997.601378
