Intersections of Finitely Generated Maximal Partial Clones
Miguel Couceiro and Lucien Haddad
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.
Keywords: Generating sets, Partial clones.