 A contraction on a belief base gives rise to a contraction on its corresponding belief set. Let \(A\) be a belief base and \(K = \Cn(A)\) its corresponding belief set. Furthermore, let \(-\) be a contraction on \(A\). It gives rise to an operation \(\div\) of base-generated contraction on \(K\), such that for all sentences \(p: K\div p = \Cn(A-p)\). Base-generated contraction has been axiomatically characterized. An operation \(\div\) on a consistent belief set \(K\) is generated by an operation of partial meet contraction for some finite base for \(K\) if and only if it satisfies the following eight postulates: