For the most part, the papers collected in this volume stern from presentations given at a conference held in Tucson over the weekend of May 31 through June 2, 1985. We wish to record our gratitude to the participants in that conference, as well as to the National Science Foundation (Grant No. BNS-8418916) and the University of Arizona SBS Research Institute for their financial support. The advice we received from Susan Steele on organizational matters proved invaluable and had many felicitous consequences for the success of the con­ ference. We also would like to thank the staff of the Departments of Linguistics of the University of Arizona and the University of Massachusetts at Amherst for their help, as weIl as a number of individuals, including Lin Hall, Kathy Todd, and Jiazhen Hu, Sandra Fulmer, Maria Sandoval, Natsuko Tsujimura, Stuart Davis, Mark Lewis, Robin Schafer, Shi Zhang, Olivia Oehrle-Steele, and Paul Saka. Finally, we would like to express our gratitude to Martin Scrivener, our editor, for his patience and his encouragement. Vll INTRODUCTION The term 'categorial grammar' was introduced by Bar-Rillel (1964, page 99) as a handy way of grouping together some of his own earlier work (1953) and the work of the Polish logicians and philosophers Lesniewski (1929) and Ajdukiewicz (1935), in contrast to approaches to linguistic analysis based on phrase structure grammars.

Categorial Grammars as Theories of Language.- The Lambek Calculus.- Generative Power of Categorial Grammars.- Semantic Categories and the Development of Categorial Grammars.- Aspects of a Categorial Theory of Binding.- Type Raising, Functional Composition, and Non-Constituent Conjunction.- Implications of Process-Morphology for Categorial Grammar.- Phrasal Verbs and the Categories of Postponement.- Natural Language Motivations for Extending Categorial Grammar.- Categorial and Categorical Grammars.- Mixed Composition and Discontinuous Dependencies.- Multi-Dimensional Compositional Functions as a Basis for Grammatical Analysis.- Categorial Grammar and Phrase Structure Grammar: An Excursion on the Syntax-Semantics Frontier.- Combinators and Grammars.- A Typology of Functors and Categories.- Consequences of Some Categorially-Motivated Phonological Assumptions.- Index of Names.- Index of Subjects.- Index of Categories and Functors.