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| Author | : Bob Carpenter |
| Publisher | : MIT Press |
| Total Pages | : 616 |
| Release | : 1998-07-24 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9780262531498 |
Download Type-Logical Semantics Book in PDF, ePub and Kindle
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.
| Author | : Yusuke Kubota |
| Publisher | : MIT Press |
| Total Pages | : 420 |
| Release | : 2020-09-15 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0262539748 |
Download Type-Logical Syntax Book in PDF, ePub and Kindle
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.
| Author | : G.V. Morrill |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 312 |
| Release | : 2012-12-06 |
| Genre | : Philosophy |
| ISBN | : 9401110425 |
Download Type Logical Grammar Book in PDF, ePub and Kindle
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.
| Author | : Glyn Morrill |
| Publisher | : Oxford University Press |
| Total Pages | : 253 |
| Release | : 2010-09-22 |
| Genre | : Computers |
| ISBN | : 0199589852 |
Download Categorial Grammar Book in PDF, ePub and Kindle
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.
| Author | : Alessandro Giordani |
| Publisher | : Springer Nature |
| Total Pages | : 245 |
| Release | : 2020-11-19 |
| Genre | : Philosophy |
| ISBN | : 3030534871 |
Download Logic in High Definition Book in PDF, ePub and Kindle
This volume clusters together issues centered upon the variety of types of intensional semantics. Consisting of 10 contributions, the volume is based on papers presented at the Trends in Logic 2019 conference. The various chapters introduce readers to the topic, or apply new types of logical semantics to elucidate subtleties of logical systems and natural language semantics. The book introduces hyperintentional systems that aim at solving some open philosophical problems. Specifically, the first three studies focus on relating semantics, while the following ones discuss fundamental issues related to hyper-intensional semantics or develop hyper-intensional frameworks to address issues in modal, epistemic, deontic and action logic. Authors in this volume present original results on logical systems but also extend beyond this by offering philosophical considerations on the topic as well. This volume will appeal to students and researchers in the field of logic.
| Author | : David J. Pym |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 323 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401700915 |
Download The Semantics and Proof Theory of the Logic of Bunched Implications Book in PDF, ePub and Kindle
This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: • Resources as a basis for semantics; • Proof-search as a basis for reasoning; and • The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts.
| Author | : Nick Riemer |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2010-03-25 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0521851920 |
Download Introducing Semantics Book in PDF, ePub and Kindle
An introduction to the study of meaning in language for undergraduate students.
| Author | : Yusuke Kubota |
| Publisher | : |
| Total Pages | : |
| Release | : 2016 |
| Genre | : Categorial grammar |
| ISBN | : 9780262360807 |
Download Type-logical Syntax Book in PDF, ePub and Kindle
"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."--
| Author | : Gerhard Jäger |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 314 |
| Release | : 2005-08-26 |
| Genre | : Computers |
| ISBN | : 9781402039041 |
Download Anaphora and Type Logical Grammar Book in PDF, ePub and Kindle
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.
| Author | : B. Jacobs |
| Publisher | : Gulf Professional Publishing |
| Total Pages | : 784 |
| Release | : 2001-05-10 |
| Genre | : Computers |
| ISBN | : 9780444508539 |
Download Categorical Logic and Type Theory Book in PDF, ePub and Kindle
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.
