Anaphora and Type Logical Grammar

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Springer Science & Business Media, Aug 26, 2005 - Computers - 289 pages
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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.

 

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Contents

TYPE LOGICAL GRAMMAR THE FRAMEWORK
1
2 Combinators and Type Logical Grammar
17
3 Historical and Bibliographical Remarks
65
THE PROBLEM OF ANAPHORA
69
2 Variables in TLG
72
3 Previous Categorial Approaches to Anaphora
76
4 Summary
116
LAMBEK CALCULUS WITH LIMITED CONTRACTION
119
VERB PHRASE ELLIPSIS
183
The Basic Idea
186
3 Interaction with Pronominal Anaphora
187
4 Interaction of VPE and Quantification
195
5 VPE and Polymorphism
201
6 Parallelism Versus Source Ambiguity
206
INDEFINITES
213
2 Dekkers Predicate Logic with Anaphora
215

2 Contraction?
120
3 The Logic LLC
121
4 Relation to Jacobsons System
153
PRONOUNS AND QUANTIFICATION
157
2 Binding by whoperators
158
3 Binding by Quantifiers
159
4 Weak Crossover
169
6 Backward Binding and Reconstruction
174
3 Bringing PLA into TLG
220
4 Donkey Sentences
228
5 Indefinites and Scope
245
6 Sluicing
258
7 Summary and Desiderata
269
References
273
Index
283
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