The Logic Of Categorial Grammars

Author : Richard Moot
Publisher : Springer
ISBN 13 : 3642315550
Total Pages : 300 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book The Logic of Categorial Grammars written by Richard Moot and published by Springer. This book was released on 2012-06-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for students in computer science, formal linguistics, mathematical logic and to colleagues interested in categorial grammars and their logical foundations. These lecture notes present categorial grammars as deductive systems, in the approach called parsing-as-deduction, and the book includes detailed proofs of their main properties. The papers are organized in topical sections on AB grammars, Lambek’s syntactic calculus, Lambek calculus and montague grammar, non-associative Lambek calculus, multimodal Lambek calculus, Lambek calculus, linear logic and proof nets and proof nets for the multimodal Lambek calculus.

Author : Mary McGee Wood
Publisher : Routledge
ISBN 13 : 131793377X
Total Pages : 193 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Grammars (RLE Linguistics B: Grammar) written by Mary McGee Wood and published by Routledge. This book was released on 2014-02-03 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years categorial grammars have been the focus of dramatically expanded interest and activity, both theoretical and computational. This book, the first introduction to categorical grammars, is written as an objective critical assessment. Categorial grammars offer a radical alternative to the phrase-structure paradigm, with deep roots in the philosophy of language, logic and algebra. Mary McGee Wood outlines their historical evolution and discusses their formal basis, starting with a quasi-canonical core and considering a number of possible extensions. She also explores their treatment of a number of linguistic phenomena, including passives, raising, discontinuous dependencies and non-constituent coordination, as well as such general issues as word order, logic, psychological plausibility and parsing. This introduction to categorial grammars will be of interest to final year undergraduate and postgraduate students and researchers in current theories of grammar, including comparative, descriptive, and computational linguistics.

Author : Glyn Morrill
Publisher : Oxford University Press
ISBN 13 : 0199589852
Total Pages : 253 pages
Book Rating : 4.52/5 ( download)

DOWNLOAD NOW!

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.

Author : G.V. Morrill
Publisher : Springer Science & Business Media
ISBN 13 : 9401110425
Total Pages : 312 pages
Book Rating : 4.26/5 ( download)

DOWNLOAD NOW!

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.

Author : Wojciech Buszkowski
Publisher : John Benjamins Publishing
ISBN 13 : 9027215308
Total Pages : 375 pages
Book Rating : 4.07/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Grammar written by Wojciech Buszkowski and published by John Benjamins Publishing. This book was released on 1988-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical foundations of categorial grammar including type-theoretic foundations of mathematics, grammatical categories and other topics related to categorial grammar and to philosophical and linguistic applications of this framework. The volume consists of three parts. The first, introductory part, contains the editor's addresses and two survey chapters concerning the history (W. Marciszewski) and current trends of the discipline (J.van Benthem). The second part consists of 10 chapters devoted to categorial grammar proper, and the third part 7 chapters devoted to areas close to categorial grammar. Most of the contributions are original papers, but five of them are reprints of classics (M.J. Cresswell, P.T. Geach, H. Hiz, J. Lambek, T. Potts).

Author : Richard T. Oehrle
Publisher : Springer Science & Business Media
ISBN 13 : 9781556080302
Total Pages : 560 pages
Book Rating : 4.01/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Grammars and Natural Language Structures written by Richard T. Oehrle and published by Springer Science & Business Media. This book was released on 1988-03-31 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the most part, the papers collected in this volume stern from presentations given at a conference held in Tucson over the weekend of May 31 through June 2, 1985. We wish to record our gratitude to the participants in that conference, as well as to the National Science Foundation (Grant No. BNS-8418916) and the University of Arizona SBS Research Institute for their financial support. The advice we received from Susan Steele on organizational matters proved invaluable and had many felicitous consequences for the success of the con­ ference. We also would like to thank the staff of the Departments of Linguistics of the University of Arizona and the University of Massachusetts at Amherst for their help, as weIl as a number of individuals, including Lin Hall, Kathy Todd, and Jiazhen Hu, Sandra Fulmer, Maria Sandoval, Natsuko Tsujimura, Stuart Davis, Mark Lewis, Robin Schafer, Shi Zhang, Olivia Oehrle-Steele, and Paul Saka. Finally, we would like to express our gratitude to Martin Scrivener, our editor, for his patience and his encouragement. Vll INTRODUCTION The term 'categorial grammar' was introduced by Bar-Rillel (1964, page 99) as a handy way of grouping together some of his own earlier work (1953) and the work of the Polish logicians and philosophers Lesniewski (1929) and Ajdukiewicz (1935), in contrast to approaches to linguistic analysis based on phrase structure grammars.

Author : Mary McGee Wood
Publisher : Routledge
ISBN 13 : 1317933761
Total Pages : 191 pages
Book Rating : 4.62/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Grammars (RLE Linguistics B: Grammar) written by Mary McGee Wood and published by Routledge. This book was released on 2014-02-03 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years categorial grammars have been the focus of dramatically expanded interest and activity, both theoretical and computational. This book, the first introduction to categorical grammars, is written as an objective critical assessment. Categorial grammars offer a radical alternative to the phrase-structure paradigm, with deep roots in the philosophy of language, logic and algebra. Mary McGee Wood outlines their historical evolution and discusses their formal basis, starting with a quasi-canonical core and considering a number of possible extensions. She also explores their treatment of a number of linguistic phenomena, including passives, raising, discontinuous dependencies and non-constituent coordination, as well as such general issues as word order, logic, psychological plausibility and parsing. This introduction to categorial grammars will be of interest to final year undergraduate and postgraduate students and researchers in current theories of grammar, including comparative, descriptive, and computational linguistics.

Author : Harold D. Levin
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.56/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Grammar and the Logical Form of Quantification written by Harold D. Levin and published by . This book was released on 1982 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael Moortgat
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112329589
Total Pages : 300 pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book Categorial Investigations written by Michael Moortgat and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-10-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Categorial Investigations".

Author : Yusuke Kubota
Publisher : MIT Press
ISBN 13 : 0262539748
Total Pages : 420 pages
Book Rating : 4.46/5 ( download)

DOWNLOAD NOW!

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.