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The paper describes a parser for Catego- rial Grammar which provides fully word by word incremental interpretation. The parser does not require fragments of sen- tences to form constituents, and thereby avoids problems of spurious ambiguity. The paper includes a brief discussion of the relationship between basic Catego- rial Grammar and other formalisms such as HPSG, Dependency Grammar and the Lambek Calculus. It also includes a discus- sion of some of the issues which arise when parsing lexicalised grammars, and the pos- sibilities for using statistical techniques for tuning to particular languages.

Incremental interpretation of Categorial Grammar