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Quantificational noun phrase

SYNTAX: a noun phrase which in LF moves into an A-bar position, binding its trace the way an operator binds a variable. EXAMPLE: if sentence (i)a means that for every girl it is the case that he gave her a book, its LF looks like (i)b where the quantificational noun phrase every girl is moved into an A-bar position, leaving behind a variable x and taking scope over a book, and is decomposed into the 'quantifier' every x and its restriction x a girl.

(i) a  he gave a book to every girl
    b  [[every x, x a girl] [he gave a book to x]]