We introduce a first-order language for semantic underspecification that we call Constraint Language for Lambda-Structures (CLLS). A lambda-structure can be considered as a lambda-term up to consistent renaming of bound variables (alpha-equality); a constraint of CLLS is an underspecified description of a $lambda$-structure. CLLS solves a capturing problem omnipresent in underspecified scope representations. CLLS features constraints for dominance, lambda binding, parallelism, and anaphoric links. Based on CLLS we present a simple, integrated, and underspecified treatment of scope, parallelism, and anaphora.
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