A Classification of Partial Boolean Clones
Dietlinde Lau, Karsten Schölzel · 2010
We study intervals $\mathcal{I}(A)$ of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals(according to whether the interval is finite or infinite), and determine the size of each finite interval $\mathcal{I}(A)$.