[en] Let A be a finite non-singleton set. For A ={0, 1} we show that the set of all self-dual monotonic partial functions is a not finitely generated partial clone on {0, 1} and that it contains a family of partial subclones of continuum cardinality. Moreover, for |A| ≥ 3, we show that there are pairs of finitely generated maximal partial clones whose intersection is a not finitely generated partial clone on A.
Disciplines :
Mathematics
Author, co-author :
Couceiro, Miguel ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Haddad, Lucien
External co-authors :
yes
Language :
English
Title :
Intersections of Finitely Generated Maximal Partial Clones
Publication date :
January 2012
Journal title :
Journal of Multiple-Valued Logic and Soft Computing
ISSN :
1542-3980
Publisher :
Old City Publishing, Inc., Philadelphia, United States - Pennsylvania
