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Type Logical Syntax
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Book Synopsis Type-Logical Syntax by : Yusuke Kubota
Download or read book Type-Logical Syntax written by Yusuke Kubota and published by MIT Press. This book was released on 2020-09-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Type-Logical Syntax by : Yusuke Kubota
Download or read book Type-Logical Syntax written by Yusuke Kubota and published by MIT Press. This book was released on 2020-09-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Type-Logical Semantics by : Bob Carpenter
Download or read book Type-Logical Semantics written by Bob Carpenter and published by MIT Press. This book was released on 1998-07-24 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Categorial Grammar by : Glyn Morrill
Download or read book Categorial Grammar written by Glyn Morrill and published by Oxford University Press. This book was released on 2010-09-22 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Logical Syntax of Language by : Rudolf Carnap
Download or read book Logical Syntax of Language written by Rudolf Carnap and published by Routledge. This book was released on 2014-06-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".
Book Synopsis Type-logical Syntax by : Yusuke Kubota
Download or read book Type-logical Syntax written by Yusuke Kubota and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--
Book Synopsis Type Logical Grammar by : G.V. Morrill
Download or read book Type Logical Grammar written by G.V. Morrill and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Anaphora and Type Logical Grammar by : Gerhard Jäger
Download or read book Anaphora and Type Logical Grammar written by Gerhard Jäger and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Anaphora and Type Logical Grammar by : Gerhard Jäger
Download or read book Anaphora and Type Logical Grammar written by Gerhard Jäger and published by Springer Science & Business Media. This book was released on 2005-08-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis On the Logic and Learning of Language by : Sean A. Fulop
Download or read book On the Logic and Learning of Language written by Sean A. Fulop and published by Trafford Publishing. This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the author's research on automatic learning procedures for categorial grammars of natural languages. The research program spans a number of intertwined disciplines, including syntax, semantics, learnability theory, logic, and computer science. The theoretical framework employed is an extension of categorial grammar that has come to be called multimodal or type-logical grammar. The first part of the book presents an expository summary of how grammatical sentences of any language can be deduced with a specially designed logical calculus that treats syntactic categories as its formulae. Some such Universal Type Logic is posited to underlie the human language faculty, and all linguistic variation is captured by the different systems of semantic and syntactic categories which are assigned in the lexicons of different languages. The remainder of the book is devoted to the explicit formal development of computer algorithms which can learn the lexicons of type logical grammars from learning samples of annotated sentences. The annotations consist of semantic terms expressed in the lambda calculus, and may also include an unlabeled tree-structuring over the sentence. The major features of the research include the following: We show how the assumption of a universal linguistic component---the logic of language---is not incompatible with the conviction that every language needs a different system of syntactic and semantic categories for its proper description. The supposedly universal linguistic categories descending from antiquity (noun, verb, etc.) are summarily discarded. Languages are here modeled as consisting primarily of sentence trees labeled with semantic structures; a new mathematical class of such term-labeled tree languages is developed which cross-cuts the well-known Chomsky hierarchy and provides a formal restrictive condition on the nature of human languages. The human language acquisition mechanism is postulated to be biased, such that it assumes all input language samples are drawn from the above "syntactically homogeneous" class; in this way, the universal features of human languages arise not just from the innate logic of language, but also from the innate biases which govern language learning. This project represents the first complete explicit attempt to model the aquisition of human language since Steve Pinker's groundbreaking 1984 publication, "Language Learnability and Language Development."
Book Synopsis Non-Transformational Syntax by : Robert Borsley
Download or read book Non-Transformational Syntax written by Robert Borsley and published by John Wiley & Sons. This book was released on 2011-09-19 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative introduction explores the four main non-transformational syntactic frameworks: Head-driven Phrase Structure Grammar, Lexical-Functional Grammar, Categorial Grammar, and Simpler Syntax. It also considers a range of issues that arise in connection with these approaches, including questions about processing and acquisition. An authoritative introduction to the main alternatives to transformational grammar Includes introductions to three long-established non-transformational syntactic frameworks: Head-driven Phrase Structure Grammar, Lexical-Functional Grammar, and Categorial Grammar, along with the recently developed Simpler Syntax Brings together linguists who have developed and shaped these theories to illustrate the central properties of these frameworks and how they handle some of the main phenomena of syntax Discusses a range of issues that arise in connection with non-transformational approaches, including processing and acquisition
Book Synopsis The Routledge Handbook of Syntax by : Andrew Carnie
Download or read book The Routledge Handbook of Syntax written by Andrew Carnie and published by Routledge. This book was released on 2014-04-29 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of syntax over the last half century has seen a remarkable expansion of the boundaries of human knowledge about the structure of natural language. The Routledge Handbook of Syntax presents a comprehensive survey of the major theoretical and empirical advances in the dynamically evolving field of syntax from a variety of perspectives, both within the dominant generative paradigm and between syntacticians working within generative grammar and those working in functionalist and related approaches. The handbook covers key issues within the field that include: • core areas of syntactic empirical investigation, • contemporary approaches to syntactic theory, • interfaces of syntax with other components of the human language system, • experimental and computational approaches to syntax. Bringing together renowned linguistic scientists and cutting-edge scholars from across the discipline and providing a balanced yet comprehensive overview of the field, the Routledge Handbook of Syntax is essential reading for researchers and postgraduate students working in syntactic theory.
Book Synopsis Syntax - Theory and Analysis. Volume 2 by : Tibor Kiss
Download or read book Syntax - Theory and Analysis. Volume 2 written by Tibor Kiss and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-02-24 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook represents the development of research and the current level of knowledge in the fields of syntactic theory and syntax analysis. Syntax can look back to a long tradition. Especially in the last 50 years, however, the interaction between syntactic theory and syntactic analysis has led to a rapid increase in analyses and theoretical suggestions. This second edition of the Handbook on Syntax adopts a unifying perspective and therefore does not place the division of syntactic theory into several schools to the fore, but the increase in knowledge resulting from the fruitful argumentations between syntactic analysis and syntactic theory. It uses selected phenomena of individual languages and their cross-linguistic realizations to explain what syntactic analyses can do and at the same time to show in what respects syntactic theories differ from each other. It investigates how syntax is related to neighbouring disciplines and investigate the role of the interfaces especially the relationship between syntax and phonology, morphology, compositional semantics, pragmatics, and the lexicon. The phenomena chosen bring together renowned experts in syntax, and represent the consensus reached as to what has to be considered as an important as well as illustrative syntactic phenomenon. The phenomena discuss do not only serve to show syntactic analyses, but also to compare theoretical approaches with each other.
Book Synopsis Syntactic Structures by : Noam Chomsky
Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".
Book Synopsis Categories and Types in Logic, Language, and Physics by : Claudia Casadio
Download or read book Categories and Types in Logic, Language, and Physics written by Claudia Casadio and published by Springer. This book was released on 2014-04-03 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.
Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good! The first edition was the second handbook published for the logic com- nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organi- tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
