Type Logical Grammar is a framework that emerged from the synthesis of two traditions: Categorial Grammar from formal linguistics and substructural logics from logic. Grammatical composition is conceived as resource conscious logical deduction. Such a grammar is necessarily surface oriented and lexicalistic. The Curry-Howard correspondence supplies an elegant compositional mapping from syntax to semantics.

Comprehensive type logical treatment of the interaction of anaphora, ellipsis and quantification

List of Tables. Preface. Acknowledgments. Type Logical Grammar: The Framework. Basic Categorial Grammar. Combinators and Type Logical Grammar. Historical and bibliographical remarks.- The Problem of Anaphora. Anaphora and semantic resource sensitivity. Variables in TLG. Previous Categorial approaches to anaphora. Summary.- Lambek Calculus with Limited Contraction. The agenda. Contraction? The Logic LLC. Relation to Jacobson's system.- Pronouns and Quantification. Basic cases. Binding by wh-operators. Binding by quantifiers. Weak crossover. Precedence versus c-command. Backward binding and reconstruction.- Verb Phrase Ellipsis. Introduction. VPE: The basic idea. Interaction with pronominal anaphora. Interaction of VPE and quantification. VPE and Polymorphism. Parallelism versus source ambiguity.- Indefinites. Introduction. Dekker's Predicate Logic with Anaphora. ringing PLA into TLG. Donkey sentences. Indefinites and scope. Sluicing. Summary and desiderata.- References. Index.