We do not for example say that the person has a perfect knowledge of some language L similar to English but still different from it. What we say is that the child or foreigner has a 'partial knowledge of English' or is 'on his or her way' towards acquiring knowledge of English, and if they reach this goal, they will then know English.
Noam Chomsky (1986). “Knowledge of Language: Its Nature, Origin, and Use”, p.16, Greenwood Publishing Group