Download or read book Cut Elimination in Categories written by K. Dosen and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory. Here it is shown that these notions, in particular the notion of adjunction, can be formulated in such as way as to be characterised by composition elimination. Among the benefits of these composition-free formulations are syntactical and simple model-theoretical, geometrical decision procedures for the commuting of diagrams of arrows. Composition elimination, in the form of Gentzen's cut elimination, takes in categories, and techniques inspired by Gentzen are shown to work even better in a purely categorical context than in logic. An acquaintance with the basic ideas of general proof theory is relied on only for the sake of motivation, however, and the treatment of matters related to categories is also in general self contained. Besides familiar topics, presented in a novel, simple way, the monograph also contains new results. It can be used as an introductory text in categorical proof theory.

Download or read book On the Content of Empty Categories written by Denis Bouchard and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The architecture of the human language faculty has been one of the main foci of the linguistic research of the last half century. This branch of linguistics, broadly known as Generative Grammar, is concerned with the formulation of explanatory formal accounts of linguistic phenomena with the ulterior goal of gaining insight into the properties of the 'language organ'. The series comprises high quality monographs and collected volumes that address such issues. The topics in this series range from phonology to semantics, from syntax to information structure, from mathematical linguistics to studies of the lexicon. To discuss your book idea or submit a proposal, please contact Birgit Sievert

Download or read book Direct Objects and Language Acquisition written by Ana Teresa Pérez-Leroux and published by Cambridge University Press. This book was released on 2018-02-08 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores a much-debated area of language acquisition: the omission by young children of direct objects in a sentence.

Download or read book Towards an Elegant Syntax written by Michael Brody and published by Routledge. This book was released on 2005-10-24 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays, written between 1980 and 2001, places the search for theoretical elegance at centre stage. The author shows that although the conceptual difference between 'elegance' and the minimalist search for 'perfection' may appear to be subtle, its consequences are in fact wide ranging and radical. These considerations lead to a markedly different and novel theory of syntax where most of the major features of minimalism, such as derivation, economy, merge, move, phrases and projection, are not just reanalysed or shifted to other components but in a majority of cases are dispensed with completely or reduced to much simpler notions. Towards an Elegant Syntax makes available important and some less easily accessible publications with new introductory material.

Download or read book Syntactic Theory written by Robert Borsley and published by Routledge. This book was released on 2014-04-23 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Syntactic theory is central to the study of language. This innovative book introduces the ideas which underlie most approaches to syntax and shows how they have been developed within two broad frameworks: principles and parameters theory and phrase structure grammar. While other texts either concentrate on one theory or treat them as totally separate, here both approaches are introduced together, highlighting the similarities as well as the differences. Thoroughly updated in the light of major recent developments, this second edition includes expanded explanations of the main characteristics of the two theories, summaries of the main features, exercises reinforcing key points and suggestions for further investigation.

Download or read book Cognitive Models Of Speech Processing written by Gerry Altmann and published by Psychology Press. This book was released on 2013-05-24 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review for those interested in the range of theoretical concerns in speech and language processing.

Download or read book Theories of Syntax written by Koenraad Kuiper and published by Bloomsbury Publishing. This book was released on 2017-09-16 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you want a deeper understanding of syntax and grammar? Theories of Syntax: Concepts and Case Studies is an indispensable student companion. Starting with basic concepts of syntax, Kuiper and Nokes then delve deeper by explaining how we understand syntactic phenomena, and show us how to use different theoretical frameworks. Theories of Syntax: - Explores syntactic phenomena through a scientific lens - Shows how syntactic models are shaped by theoretical frameworks - Summarizes four theories of syntax: Systemic Functional Grammar, the Principles and Parameters Framework, Lexical Functional Grammar and Minimalism - Illustrates seven sets of syntactic phenomena through case studies With questions for revision, reflection and discussion in each chapter, this is an ideal book for students who want to further their studies.

Download or read book Monoidal Category Theory written by Noson S. Yanofsky and published by MIT Press. This book was released on 2024-11-05 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, cutting-edge, and highly readable textbook that makes category theory and monoidal category theory accessible to students across the sciences. Category theory is a powerful framework that began in mathematics but has since expanded to encompass several areas of computing and science, with broad applications in many fields. In this comprehensive text, Noson Yanofsky makes category theory accessible to those without a background in advanced mathematics. Monoidal Category Theorydemonstrates the expansive uses of categories, and in particular monoidal categories, throughout the sciences. The textbook starts from the basics of category theory and progresses to cutting edge research. Each idea is defined in simple terms and then brought alive by many real-world examples before progressing to theorems and uncomplicated proofs. Richly guided exercises ground readers in concrete computation and application. The result is a highly readable and engaging textbook that will open the world of category theory to many. Makes category theory accessible to non-math majors Uses easy-to-understand language and emphasizes diagrams over equations Incremental, iterative approach eases students into advanced concepts A series of embedded mini-courses cover such popular topics as quantum computing, categorical logic, self-referential paradoxes, databases and scheduling, and knot theory Extensive exercises and examples demonstrate the broad range of applications of categorical structures Modular structure allows instructors to fit text to the needs of different courses Instructor resources include slides

Download or read book Advances in Probabilistic and Other Parsing Technologies written by H. Bunt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parsing technology is concerned with finding syntactic structure in language. In parsing we have to deal with incomplete and not necessarily accurate formal descriptions of natural languages. Robustness and efficiency are among the main issuesin parsing. Corpora can be used to obtain frequency information about language use. This allows probabilistic parsing, an approach that aims at both robustness and efficiency increase. Approximation techniques, to be applied at the level of language description, parsing strategy, and syntactic representation, have the same objective. Approximation at the level of syntactic representation is also known as underspecification, a traditional technique to deal with syntactic ambiguity. In this book new parsing technologies are collected that aim at attacking the problems of robustness and efficiency by exactly these techniques: the design of probabilistic grammars and efficient probabilistic parsing algorithms, approximation techniques applied to grammars and parsers to increase parsing efficiency, and techniques for underspecification and the integration of semantic information in the syntactic analysis to deal with massive ambiguity. The book gives a state-of-the-art overview of current research and development in parsing technologies. In its chapters we see how probabilistic methods have entered the toolbox of computational linguistics in order to be applied in both parsing theory and parsing practice. The book is both a unique reference for researchers and an introduction to the field for interested graduate students.

Download or read book Logical Aspects of Computational Linguistics written by Alain Lecomte and published by Springer. This book was released on 2003-06-29 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Logical Aspects of Computational Linguistics, LACL '97, held in Nancy, France in September 1997. The 10 revised full papers presented were carefully selected during two rounds of reviewing. Also included are two comprehensive invited papers. Among the topics covered are type theory, various types of grammars, linear logic, parsing, type-directed natural language processing, proof-theoretic aspects, concatenation logics, and mathematical languages.

Download or read book Functorial Knot Theory Categories Of Tangles Coherence Categorical Deformations And Topological Invariants written by David N Yetter and published by World Scientific. This book was released on 2001-04-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have suggested functorial views of topological field theory.This book begins with a detailed exposition of the key ideas in the discovery of monoidal categories of tangles as central objects of study in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors, which is a proper generalization of Gerstenhaber's deformation theory of associative algebras. These serve as the building blocks for a deformation theory of braided monoidal categories which gives rise to sequences of Vassiliev invariants of framed links, and clarify their interrelations.

Download or read book Proceedings of the Fifth ACM SIGPLAN International Conference on Functional Programming ICFP 00 Montr al Canada September 18 21 2000 written by and published by Pearson Education. This book was released on 2000 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Functional Categories and Parametric Variation written by Jamal Ouhalla and published by Routledge. This book was released on 2003-09-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: From within the context of the principles and parameters framework put forward by Chomsky and others, Jamal Ouhalla develops the argument that much of what we understand by the term "grammar" involves functional categories.

Download or read book Grammatical theory From transformational grammar to constraint based approaches Fifth revised edition written by Stefan Müller and published by Language Science Press. This book was released on 2023-01-23 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces formal grammar theories that play a role in current linguistic theorizing (Phrase Structure Grammar, Transformational Grammar/Government & Binding, Generalized Phrase Structure Grammar, Lexical Functional Grammar, Categorial Grammar, Head-​Driven Phrase Structure Grammar, Construction Grammar, Tree Adjoining Grammar). The key assumptions are explained and it is shown how the respective theory treats arguments and adjuncts, the active/passive alternation, local reorderings, verb placement, and fronting of constituents over long distances. The analyses are explained with German as the object language. The second part of the book compares these approaches with respect to their predictions regarding language acquisition and psycholinguistic plausibility. The nativism hypothesis, which assumes that humans posses genetically determined innate language-specific knowledge, is critically examined and alternative models of language acquisition are discussed. The second part then addresses controversial issues of current theory building such as the question of flat or binary branching structures being more appropriate, the question whether constructions should be treated on the phrasal or the lexical level, and the question whether abstract, non-visible entities should play a role in syntactic analyses. It is shown that the analyses suggested in the respective frameworks are often translatable into each other. The book closes with a chapter showing how properties common to all languages or to certain classes of languages can be captured.

Download or read book Professional SQL Server Analysis Services 2005 with MDX written by Sivakumar Harinath and published by John Wiley & Sons. This book was released on 2006-05-30 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the lead developers of Analysis Services at Microsoft, this book begins with an overview showing how Analysis Services and MDX can be used to build data warehouses and multidimensional databases The authors then describe the development processes for building dimensions and cubes from various data sources Demonstrating a variety of techniques in real-world scenarios, the book shows how MDX can be used to query databases to provide sophisticated analysis of business problems Finally, the book explains how Analysis Services can be used with other components of SQL Server, including DTS, data mining, and Report Services, to provide comprehensive, end-to-end solutions

Download or read book Managing Microsoft Exchange Server written by Paul Robichaux and published by "O'Reilly Media, Inc.". This book was released on 1999 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at medium-sized installations and up, "Managing Microsoft Exchange Server" addresses the difficult problems these users face: Internet integration, storage management, cost of ownership, system security, and performance management. Going beyond the basics, it provides hands on advice about what one needs to know after getting a site up and running and facing issues of growth, optimization, or recovery planning.

Download or read book Definitions written by Annabel Cormack and published by Routledge. This book was released on 2013-10-11 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The answer to the question "How can we understand and use a definition?" provides new constraints on natural language and on the internal language in which meaning is mentally represented. Most syntax takes the sentence as the basic unit for well-formedness, but definitions force us to focus on words and phrases, and hence to focus on compositional syntax in parallel with compositional semantics. This study examines both dictionary definitions and definitions from textbooks, from the points of view of their syntax, semantics, and use for learning word meaning. The tools used throughout are Principles and Parameters syntax, Relevance theoretic pragmatics, Model theoretic semantics, and the formal theory of definitions. The analyses argue that because phrases can be understood in isolation, some standard syntactic analyses must be modified. 'NP movement' has to be reanalysed as transmission of theta roles. These ideas are then applied to a variety of adjectives which take propositional complements. The final chapter argues that for definitions to be understood, the syntax of the Language of Thought must be close to that of Natural Language in specifiable way.