ABSTRACT
Categorial Grammars (CGs) are a long way from offering anything like a complete description of any language, or any consensus as to how to do so. Diversity here is healthy, productive investigation is continuing into many different aspects of CGs, reflecting the many concerns that have fed into it over the years and continue to do so: logic, algebra, philosophy of language and formal semantics, language-specific and universal syntax, psycholinguistics and computational linguistics. The best work in CG shows a creative balance of these considerations to a degree rarely matched within other paradigms. Generalized phrase structure grammar (GPSG) and lexical-functional grammar (LFG), in particular, have adopted a Montague semantics and mechanisms for encoding something like function-argument relations. A more careful understanding of the formal properties of natural languages and of grammars has led to CGs being taken more seriously and aligned more accurately relative to proposals in other frameworks.
