Title :
On the intersection of maximal partial clones and the join of minimal partial clones
Author :
Haddad, L. ; Machida, H. ; Rosenberg, I.G.
Author_Institution :
Math. et Inf., Coll. Mil. R. du Canada, Kingston, Ont., Canada
Abstract :
Let A be a nonsingleton finite set and M be a family of maximal partial clones with trivial intersection over A. What is the smallest possible cardinality of M? Dually, if F is a family of minimal partial clones whose join is the set of all partial functions on A, then what is the smallest possible cardinality of F? The purpose of this note is to present results related to these two problems
Keywords :
multivalued logic; cardinality; maximal partial clones; minimal partial clones; nonsingleton finite set; Algebra; Cloning; Lattices; Mathematics; Time of arrival estimation;
Conference_Titel :
Multiple-Valued Logic, 2000. (ISMVL 2000) Proceedings. 30th IEEE International Symposium on
Conference_Location :
Portland, OR
Print_ISBN :
0-7695-0692-5
DOI :
10.1109/ISMVL.2000.848649
