For instance, in the sentence "I read every book that you did", the verb phrase in the main clause appears to license ellipsis inside the relative clause which modifies its object.
ACD is a classic puzzle for theories of the syntax-semantics interface, since it threatens to introduce an infinite regress.
It is commonly taken as motivation for syntactic transformations such as quantifier raising, though some approaches explain it using semantic composition rules or by adoption more flexible notions of what it means to be a syntactic unit.
That is, the missing VP in the first sentence can mean only wash the dishes, and in the second sentence, the missing VP can mean only wash the dishes on Tuesday.
To avoid this problem, Sag (1976) proposed that the NP every book that Mary did undergoes quantifier raising (QR) to a position above the verb.