This chapter extends the assignment-variable-based analysis of headed relative constructions in Chapter 6 to quantifier phrases with nonrelative complements. Crosslinguistic diachronic, morphological, and syntactic data are examined in support of a generalized D+XP analysis. Applications of the assignment-quantificational syntax/semantics for quantifier phrases include phenomena with “specificity,” contextual domain restriction, and distinctions between modifier (“free R”) readings and argument (“inherent R”) readings of genitives. The treatment of donkey pronouns in Chapter 6 is extended to bound-variable readings, reflexives, and other types of apparent non-c-command anaphora, such as with genitive binding and inverse linking. The account’s distinction between trace-binding and pronoun-binding is exploited in a speculative account of weak crossover.