In this paper, we propose to use Hybrid Logic (HL) as a means to combine frame-based lexical semantics with quantification. We integrate this into a syntax-semantics interface using LTAG (Lexicalized Tree Adjoining Grammar) and show that this architecture allows a fine-grained description of event structures by quantifying, for instance, over subevents. As a case study, we provide an analysis of for-adverbials and the aspectual interpretations they induce. The basic idea is that for-adverbials introduce a universal quantification over subevents that are characterized by the predication contributed by the verb. Depending on whether these subevents are bounded or not, the resulting overall event is then an iteration or a progression. We show that by combining the HL approach with standard techniques of underspecification and by using HL to formulate general constraints on event frames, we can account for the aspectual coercion triggered by these adverbials. Furthermore, by pairing this with syntactic building blocks in LTAG, we provide a working syntax-semantics interface for these phenomena.