Before revision:  In addition, the concept of nested canalization is further generalized and closed formulas for the number of such generalized functions , as well as for the number of equivalence classes  under permutation of variables , are derived.
After revision:  In addition, the concept of nested canalization is further generalized and closed formulas for the number of such generalized functions , as well as an asymptotic formula. Finally, we compute the number of equivalence classes under permutation of variables , are derived.