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This paper addresses the problem ofconstraints for relative quantifier sope, in partiular in inverse linking readings wherecertain scope orders are exluded. We show how to account for such restrictions in the Tree Adjoining Grammar (TAG) framework by adopting a notion offlexible composition. In the semantics we use for TAG we introduce quantifier sets that group quantifiers that are "glued" together in the sense that no other quantifieran scopally intervene between them. Theflexible composition approach allows us to obtain the desired quantifier sets and thereby the desiredconstraints for quantifier sope.
This paper proposes a compositional semantics for lexicalized tree adjoining grammars (LTAG). Tree-local multicompnent derivations allow seperation of semantiv contribution of a lexical item into one component contributing to the predicate argument structure and second a component contributing to scope semantics. Based on this idea a syntx-semantics interface is presented where the compositional semantics depends only on the derivation structure. It is shown that the derivation structure allows an appropriate amount of underspecification. This is illustrated by investigating underspecified representations for quantifier scpoe ambiguities and related phenomena such as adjunct scope and island constraints.
In this paper we propose a compositional semantics for lexicalized tree-adjoining grammar (LTAG). Tree-local multicomponent derivations allow separation of the semantic contribution of a lexical item into one component contributing to the predicate argument structure and a second component contributing to scope semantics. Based on this idea a syntax-semantics interface is presented where the compositional semantics depends only on the derivation structure. It is shown that the derivation structure (and indirectly the locality of derivations) allows an appropriate amount of underspecification. This is illustrated by investigating underspecified representations for quantifier scope ambiguities and related phenomena such as adjunct scope and island constraints.