Anaphora and Type Logical Grammar

Description

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. Anaphora does not seem to fit well into this framework. In type logical deductions, each resource is used exactly once. Anaphora, however, is a phenomenon where semantic resources are used more than once. Generally admitting the multiple use of lexical resources is not possible because it would lead to empirical inadequacy and computational intractability. This book develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction while avoiding these consequences. To this end, the grammar logic is enriched with a connective that specifically deals with anaphora. After giving a self-contained introduction into Type Logical Grammar in general, the book discusses the formal properties of this connective. In the sequel, Jäger applies this machinery to numerous linguistic phenomena pertaining to the interaction of pronominal anaphora, VP ellipsis and quantification. In the final chapter, the framework is extended to indefiniteness, specificity and sluicing. Contents......Page 6 List of Tables......Page 8 Preface......Page 9 Acknowledgments......Page 13 1 Basic Categorial Grammar......Page 15 2 Combinators and Type Logical Grammar......Page 31 3 Historical and Bibliographical Remarks......Page 79 1 Anaphora and Semantic Resource Sensitivity......Page 82 2 Variables in TLG......Page 85 3 Previous Categorial Approaches to Anaphora......Page 89 4 Summary......Page 129 1 The Agenda......Page 132 2 Contraction?......Page 133 3 The Logic LLC......Page 134 4 Relation to Jacobson’s System......Page 166 1 Basic Cases......Page 170 2 Binding by wh-operators......Page 171 3 Binding by Quantifiers......Page 172 5 Precedence Versus c-command......Page 182 6 Backward Binding and Reconstruction......Page 187 1 Introduction......Page 195 2 VPE: The Basic Idea......Page 198 3 Interaction with Pronominal Anaphora......Page 199 4 Interaction of VPE and Quantification......Page 207 5 VPE and Polymorphism......Page 213 6 Parallelism Versus Source Ambiguity......Page 218 1 Introduction......Page 225 2 Dekker’s Predicate Logic with Anaphora......Page 227 3 Bringing PLA into TLG......Page 232 4 Donkey sentences......Page 240 5 Indefinites and Scope......Page 257 6 Sluicing......Page 270 7 Summary and Desiderata......Page 281 References......Page 284 A......Page 293 D......Page 294 G......Page 295 M......Page 296 Q......Page 297 T......Page 298 Z......Page 299