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The notion of commitment is one of the most important primitives in cryptography.To meet various needs, there have been many kinds of commitment schemes among which non-malleable commitment scheme and selective decommitment scheme are important and in general use.And, the increasing security demands suggest a closer look at the relationship between the two schemes.For the convenience of our proof, a new definition for selective decommitment scheme is pro-posed, which is named as modified selective decommitment scheme.The security relation is deduced that a non-malleable commitment scheme implies a modified selective decommitment scheme, but the reverse is not true.