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We give a type logical categorial grammar for the syntax and semantics of Montague's seminal fragment, which includes ambiguities of quantification and intensionality and their interactions, and we present the analyses assigned by a parser/theorem prover CatLog to the examples in the first half of Chapter 7 of the classic text  Introduction to Montague Semantics  of Dowty, Wall and Peters (1981).

Structural ambiguity in Montague Grammar and categorial grammar