Title :
Partial clones and their generating sets
Author :
Haddad, Lucien ; Lau, Dietlinde
Author_Institution :
Dept. de Math. et Inf., Coll. Mil. R. du Canada, Kingston, Ont., Canada
Abstract :
We present some of our recent results on partial clones. Let A be a non singleton finite set. For every maximal clone C on A, we find the maximal partial clone on A that contains C. We also construct families of finitely generated maximal partial clones as well as a family of not finitely generated maximal partial clones on A. Furthermore, we study the pairwise intersections of all maximal partial clones of Slupecki type on A
Keywords :
multivalued logic; finitely generated maximal partial clones; generating sets; maximal clone; nonsingleton finite set; pairwise intersections; partial clones; Cloning;
Conference_Titel :
Multiple-Valued Logic, 1999. Proceedings. 1999 29th IEEE International Symposium on
Conference_Location :
Freiburg
Print_ISBN :
0-7695-0161-3
DOI :
10.1109/ISMVL.1999.779700
