Finitely Generated Maximal Partial Clones and Their Intersections. Abstract: Let A be a finite non-singleton set. For |A| = 2 we show that the partial clone ...

Oct 30, 2009 · Title:Finitely generated maximal partial clones and their intersections. Authors:Miguel Couceiro, Lucien Haddad. View a PDF of the paper ...

The intersection of the two finitely gener- ated maximal partial clones pPol (6=) and pPol (≤) is not a finitely generated partial clone on 2. We generalize ...

Moreover for |A| >= 3 we show that there are pairs of finitely generated maximal partial clones whose intersection is a non-finitely generated partial clone on ...

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There is only one maximal clone on a set of at most eight elements which has not been known to be finitely generated. We show that it is not finitely generated.

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 ...

Maximal and minimal partial clones. The following two problems are addressed in this paper. · Intervals of partial clones containing maximal clones. Let k ≥ 2 ...

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 ...

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, ...