Minimal (n) and (n, h, k) completely separating systems

R(n) denotes the minimum possible size of a completely separating system C on an n-set. R(n, h, k) denotes the minimum possible size of a completely separating system C on an n-set with h ≤ |A| ≤ k for each A Є C. In this paper a catalogue of non-isomorphic systems which achieve R(n) for n ≤ 10 is given. Values of R(n, h, k) are determined for n ≤ 10 and for n > k²/₂.