What does semantic functions mean? and what are they for a CP?
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None. The only difference between a CP and the phrase from which it is derived is syntactic. For instance, the sense of the relative clause in
Maude was naughty, which surprised us all.
is, replacing the "which" by its antecedent,
[Maude was naughty] surprised us all.
which is not grammatical only because a sentence cannot be the subject of a sentence. This is a syntactic requirement. Without any change to the meaning, if we just add the complementizer "that" as syntactic sugar(q.v.), we get the acceptable
That Maude was naughty surprised us all.