Anaphora and Type Logical Grammar by Gerhard Jger

Anaphora and Type Logical Grammar by Gerhard Jger

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Summary

Develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction. After giving an introduction into Type Logical Grammar in general, this book discusses the formal properties of this connective.

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Anaphora and Type Logical Grammar by Gerhard Jger

ThisbookdiscusseshowTypeLogicalGrammarcanbemodi?edinsuch awaythatasystematictreatmentofanaphoraphenomenabecomesp- sible without giving up the general architecture of this framework. By Type Logical Grammar, I mean the version of Categorial Grammar that arose out of the work of Lambek, 1958 and Lambek, 1961. There Ca- gorial types are analyzed as formulae of a logical calculus. In particular, the Categorial slashes are interpreted as forms of constructive impli- tion in the sense of Intuitionistic Logic. Such a theory of grammar is per se attractive for a formal linguist who is interested in the interplay between formal logic and the structure of language. What makes L- bekstyleCategorialGrammarevenmoreexcitingisthefactthat(asvan Benthem,1983pointsout)theCurry-Howardcorrespondence-acentral part of mathematical proof theory which establishes a deep connection betweenconstructivelogicsandthe?-calculus-suppliesthetypelogical syntax with an extremely elegant and independently motivated interface to model-theoretic semantics. Prima facie, anaphora does not ?t very well into the Categorial picture of the syntax-semantics interface. The Curry-Howard based composition of meaning operates in a local way, and meaning ass- bly is linear, i.e., every piece of lexical meaning is used exactly once. Anaphora, on the other hand, is in principle unbounded, and it involves by de?nition the multiple use of certain semantic resources. The latter problem has been tackled by several Categorial grammarians by ass- ing su?ciently complex lexical meanings for anaphoric expressions, but the locality problem is not easy to solve in a purely lexical way.
SKU Unavailable
ISBN 13 9781402039041
ISBN 10 1402039042
Title Anaphora and Type Logical Grammar
Author Gerhard Jger
Series Trends In Logic
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag New York Inc.
Year published 2005-08-26
Number of pages 290
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable