Title :
On partial clones containing maximal clones
Author :
Haddad, Lucien ; Lau, Dietlinde
Author_Institution :
Mathematiques et Informatique, Coll. Militaire R. du Canada, Kingston, Ont., Canada
Abstract :
The purpose of this note is to present some of our recent results on clones and partial clones. Let A be a non-singleton finite set and M be a maximal clone on A. If M is determined by a prime affine or an h-universal relation on A, then we show that M is contained in a family of partial clones on A of continuum cardinality.
Keywords :
set theory; continuum cardinality; h-universal relation; maximal clone containing partial clones; nonsingleton finite set; prime affine; Cloning; Logic;
Conference_Titel :
Multiple-Valued Logic, 2004. Proceedings. 34th International Symposium on
Print_ISBN :
0-7695-2130-4
DOI :
10.1109/ISMVL.2004.1319926
