Type Logical Semantics
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Type Logical Semantics
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Author : Bob Carpenter
language : en
Publisher: MIT Press
Release Date : 1998-07-24
Type Logical Semantics written by Bob Carpenter and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-24 with Language Arts & Disciplines categories.
Based on an introductory course on natural-language semantics, this book provides an introduction to type-logical grammar and the range of linguistic phenomena that can be handled in categorial grammar. It also contains a great deal of original work on categorial grammar and its application to natural-language semantics. The author chose the type-logical categorial grammar as his grammatical basis because of its broad syntactic coverage and its strong linkage of syntax and semantics. Although its basic orientation is linguistic, the book should also be of interest to logicians and computer scientists seeking connections between logical systems and natural language. The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material. Topics covered include higher-order logic, applicative categorial grammar, the Lambek calculus, coordination and unbounded dependencies, quantifiers and scope, plurals, pronouns and dependency, modal logic, intensionality, and tense and aspect. The book contains more mathematical development than is usually found in texts on natural language; an appendix includes the basic mathematical concepts used throughout the book.
Type Logical Grammar
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Author : G.V. Morrill
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Type Logical Grammar written by G.V. Morrill and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
This book sets out the foundations, methodology, and practice of a formal framework for the description of language. The approach embraces the trends of lexicalism and compositional semantics in computational linguistics, and theoretical linguistics more broadly, by developing categorial grammar into a powerful and extendable logic of signs. Taking Montague Grammar as its point of departure, the book explains how integration of methods from philosophy (logical semantics), computer science (type theory), linguistics (categorial grammar) and meta-mathematics (mathematical logic ) provides a categorial foundation with coverage including intensionality, quantification, featural polymorphism, domains and constraints. For the first time, the book systematises categorial thinking into a unified program which is at once both logically secured, and a practical tool for pure lexical grammar development with type-theoretic semantics. It should be of interest to all those active in computational linguistics and formal grammar and is suitable for use at advanced undergraduate, postgraduate, and research levels.
Categorial Grammar
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Author : Glyn Morrill
language : en
Publisher: Oxford University Press
Release Date : 2011
Categorial Grammar written by Glyn Morrill and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
This book provides a state-of-the-art introduction to categorial grammar, a type of formal grammar which analyses expressions as functions or according to a function-argument relationship. The book's focus is on linguistic, computational, and psycholinguistic aspects of logical categorial grammar, i.e. enriched Lambek Calculus. Glyn Morrill opens with the history and notation of Lambek Calculus and its application to syntax, semantics, and processing. Successive chapters extend the grammar to a number of significant syntactic and semantic properties of natural language. The final part applies Morrill's account to several current issues in processing and parsing, considered from both a psychological and a computational perspective. The book offers a rigorous and thoughtful study of one of the main lines of research in the formal and mathematical theory of grammar, and will be suitable for students of linguistics and cognitive science from advanced undergraduate level upwards.
Type Logical Syntax
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Author : Yusuke Kubota
language : en
Publisher: MIT Press
Release Date : 2020-09-15
Type Logical Syntax written by Yusuke Kubota and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Language Arts & Disciplines categories.
A novel logic-based framework for representing the syntax-semantics interface of natural language, applicable to a range of phenomena. In this book, Yusuke Kubota and Robert Levine propose a type-logical version of categorial grammar as a viable alternative model of natural language syntax and semantics. They show that this novel logic-based framework is applicable to a range of phenomena—especially in the domains of coordination and ellipsis—that have proven problematic for traditional approaches. The type-logical syntax the authors propose takes derivations of natural language sentences to be proofs in a particular kind of logic governing the way words and phrases are combined. This logic builds on and unifies two deductive systems from the tradition of categorial grammar; the resulting system, Hybrid Type-Logical Categorial Grammar (Hybrid TLCG) enables comprehensive approaches to coordination (gapping, dependent cluster coordination, and right-node raising) and ellipsis (VP ellipsis, pseudogapping, and extraction/ellipsis interaction). It captures a number of intricate patterns of interaction between scopal operators and seemingly incomplete constituents that are frequently found in these two empirical domains. Kubota and Levine show that the hybrid calculus underlying their framework incorporates key analytic ideas from competing approaches in the generative syntax literature to offer a unified and systematic treatment of data that have posed considerable difficulties for previous accounts. Their account demonstrates that logic is a powerful tool for analyzing the deeper principles underlying the syntax and semantics of natural language.
Anaphora And Type Logical Grammar
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Author : Gerhard Jäger
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-26
Anaphora And Type Logical Grammar written by Gerhard Jäger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-26 with Computers categories.
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.
Meaning Logic And Ludics
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Author : Alain Lecomte
language : en
Publisher: World Scientific
Release Date : 2011
Meaning Logic And Ludics written by Alain Lecomte and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
7. Grammatical reasoning. 7.1. Motivations. 7.2. Modal preliminary. 7.3. Residuation and modalities. 7.4. Linguistic applications. 7.5. Back to quantification. 7.6. Kripke semantics. 7.7. Concluding remarks and observations. 8. A type-theoretical version of minimalist grammars. 8.1. Inserting chains. 8.2. Head movement. 8.3. Adjoining and scrambling. 8.4. Semantics without cooper storage. 8.5. Concluding remarks : Some tracks to explore. 9. Grammars in deductive forms. 9.1. Introduction. 9.2. Convergent grammars. 9.3. Labelled linear grammars. 9.4. Binding in LLG. 9.5. On phases. 9.6. Comparing CVG and LLG. 9.7. Concluding remarks. 10. Continuations and contexts. 10.1. The use of continuations in semantics. 10.2. Symmetric calculi. 10.3. Concluding remarks and further works. 11. Proofs as meanings. 11.1. From intuitionistic logic to constructive type theory. 11.2. Formalizing Montague grammar in constructive type theory. 11.3. Dynamical interpretation and anaphoric expressions. 11.4. From sentences to dialogue -- pt. IV. Ludics. 12. Interaction and dialogue. 12.1. Dialogue and games. 12.2. Ludics. 12.3. Behaviours. 13. The future in conclusion
Categorical Logic And Type Theory
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Author : Bart Jacobs
language : en
Publisher: Elsevier Science & Technology
Release Date : 1999
Categorical Logic And Type Theory written by Bart Jacobs and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.
The Handbook Of Contemporary Semantic Theory
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Author : Shalom Lappin
language : en
Publisher: John Wiley & Sons
Release Date : 2019-02-12
The Handbook Of Contemporary Semantic Theory written by Shalom Lappin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Language Arts & Disciplines categories.
The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work
Introducing Semantics
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Author : Nick Riemer
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-25
Introducing Semantics written by Nick Riemer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-25 with Language Arts & Disciplines categories.
An introduction to the study of meaning in language for undergraduate students.
Logic Semantics Metamathematics
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Author : Alfred Tarski
language : en
Publisher: Hackett Publishing
Release Date : 1983-01-01
Logic Semantics Metamathematics written by Alfred Tarski and has been published by Hackett Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Philosophy categories.