[PDF] The Formal Complexity Of Natural Language eBook

Author : W.J. Savitch
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 22,95 MB
Release : 2012-12-06
Category : Computers
ISBN : 9400934017

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Ever since Chomsky laid the framework for a mathematically formal theory of syntax, two classes of formal models have held wide appeal. The finite state model offered simplicity. At the opposite extreme numerous very powerful models, most notable transformational grammar, offered generality. As soon as this mathematical framework was laid, devastating arguments were given by Chomsky and others indicating that the finite state model was woefully inadequate for the syntax of natural language. In response, the completely general transformational grammar model was advanced as a suitable vehicle for capturing the description of natural language syntax. While transformational grammar seems likely to be adequate to the task, many researchers have advanced the argument that it is "too adequate. " A now classic result of Peters and Ritchie shows that the model of transformational grammar given in Chomsky's Aspects [IJ is powerful indeed. So powerful as to allow it to describe any recursively enumerable set. In other words it can describe the syntax of any language that is describable by any algorithmic process whatsoever. This situation led many researchers to reasses the claim that natural languages are included in the class of transformational grammar languages. The conclu sion that many reached is that the claim is void of content, since, in their view, it says little more than that natural language syntax is doable algo rithmically and, in the framework of modern linguistics, psychology or neuroscience, that is axiomatic.

Author : Alexander Clark
Publisher : John Wiley & Sons
Page : 802 pages
File Size : 29,54 MB
Release : 2013-04-24
Category : Language Arts & Disciplines
ISBN : 1118448677

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This comprehensive reference work provides an overview of the concepts, methodologies, and applications in computational linguistics and natural language processing (NLP). Features contributions by the top researchers in the field, reflecting the work that is driving the discipline forward Includes an introduction to the major theoretical issues in these fields, as well as the central engineering applications that the work has produced Presents the major developments in an accessible way, explaining the close connection between scientific understanding of the computational properties of natural language and the creation of effective language technologies Serves as an invaluable state-of-the-art reference source for computational linguists and software engineers developing NLP applications in industrial research and development labs of software companies

Author : G. Edward Barton
Publisher : Bradford Books
Page : 335 pages
File Size : 34,28 MB
Release : 1987-01
Category : Psychology
ISBN : 9780262022668

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Computational Complexity and Natural Language heralds an entirely new way of looking at grammatical systems. It applies the recently developed computer science tool of complexity theory to the study of natural language. A unified and coherent account emerges of how complexity theory can probe the information-processing structure of grammars, discovering why a grammar is easy or difficult to process and suggesting where to look for additional grammatical constraints. For the linguist or cognitive scientist, the book presents a nontechnical introduction to complexity theory and discusses its strengths, its weaknesses, and how it can be used to study grammars. For the computer scientist, it offers a more sophisticated and efficient computational analysis of linguistic theories. Given the variety of new techniques rising from complexity theory, the authors foresee a developing cooperation among linguists, cognitive scientists, and computer scientists toward understanding the nature of human language. The book also describes a set of case studies that use complexity theory to analyze grammatical problems. And it examines several grammatical systems currently of interest to computational linguists - including spelling-change/dictionary lookup and morphological analysis, agreement processes in natural language, and lexical-functional grammar - demonstrating how complexity analysis can illuminate and improve each one. All of the authors are at the MIT Artificial Intelligence Laboratory. Robert C. Berwick is an Associate Professor in the Department of Electrical Engineering and Computer Science. A Bradford Book.

Author : Francesco La Mantia
Publisher : Springer
Page : 218 pages
File Size : 50,19 MB
Release : 2016-07-16
Category : Technology & Engineering
ISBN : 3319294830

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This contributed volume explores the achievements gained and the remaining puzzling questions by applying dynamical systems theory to the linguistic inquiry. In particular, the book is divided into three parts, each one addressing one of the following topics: 1) Facing complexity in the right way: mathematics and complexity 2) Complexity and theory of language 3) From empirical observation to formal models: investigation of specific linguistic phenomena, like enunciation, deixis, or the meaning of the metaphorical phrases The application of complexity theory to describe cognitive phenomena is a recent and very promising trend in cognitive science. At the time when dynamical approaches triggered a paradigm shift in cognitive science some decade ago, the major topic of research were the challenges imposed by classical computational approaches dealing with the explanation of cognitive phenomena like consciousness, decision making and language. The target audience primarily comprises researchers and experts in the field but the book may also be beneficial for graduate and post-graduate students who want to enter the field.

Author : Gheorghe Paun
Publisher : World Scientific
Page : 502 pages
File Size : 39,56 MB
Release : 1994-10-25
Category : Computers
ISBN : 9814518158

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This book contains original reviews by well-known workers in the field of mathematical linguistics and formal language theory, written in honour of Professor Solomon Marcus on the occasion of his 70th birthday.Some of the papers deal with contextual grammars, a class of generative devices introduced by Marcus, motivated by descriptive linguistics. Others are devoted to grammar systems, a very modern branch of formal language theory. Automata theory and the algebraic approach to computer science are other well-represented areas. While the contributions are mathematically oriented, practical issues such as cryptography, grammatical inference and natural language processing are also discussed.

Author : Robert N. Moll
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 17,93 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 146139595X

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The study of formal languages and of related families of automata has long been at the core of theoretical computer science. Until recently, the main reasons for this centrality were connected with the specification and analy sis of programming languages, which led naturally to the following ques tions. How might a grammar be written for such a language? How could we check whether a text were or were not a well-formed program generated by that grammar? How could we parse a program to provide the structural analysis needed by a compiler? How could we check for ambiguity to en sure that a program has a unique analysis to be passed to the computer? This focus on programming languages has now been broadened by the in creasing concern of computer scientists with designing interfaces which allow humans to communicate with computers in a natural language, at least concerning problems in some well-delimited domain of discourse. The necessary work in computational linguistics draws on studies both within linguistics (the analysis of human languages) and within artificial intelligence. The present volume is the first textbook to combine the topics of formal language theory traditionally taught in the context of program ming languages with an introduction to issues in computational linguistics. It is one of a series, The AKM Series in Theoretical Computer Science, designed to make key mathematical developments in computer science readily accessible to undergraduate and beginning graduate students.

Author : Roland Hausser
Publisher : Springer Science & Business Media
Page : 585 pages
File Size : 10,74 MB
Release : 2013-03-09
Category : Computers
ISBN : 3662043378

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As an interdisciplinary field, computational linguistics has its sources in several areas of science, each with its own goals, methods, and historical background. Thereby, it has remained unclear which components fit together and which do not. This suggests three possible approaches to designing a computational linguistics textbook. The first approach proceeds from one's own school of thought, usually determined of study, rather than by a well-informed, delib by chance, such as one's initial place erate choice. The goal is to extend the inherited theoretical framework or method to as many aspects of language analysis as possible. As a consequence, the issue of com pat ibility with other approaches in the field need not be addressed and one's assumptions are questioned at best in connection with 'puzzling problems. ' The second approach takes the viewpoint of an objective observer and aims to survey the field as completely as possible. However, the large number of different schools, methods, and tasks necessitates a subjective selection. Furthermore, the pre sumed neutrality provides no incentive to investigate the compatibility between the elements selected. The third approach aims at solving a comprehensive functional task, with the differ To arrive at the desired solution, suitability ent approaches being ordered relative to it. and compatibility of the different elements adopted must be investigated with regard to the task at hand.

Author : Frank Morawietz
Publisher : Walter de Gruyter
Page : 263 pages
File Size : 46,60 MB
Release : 2008-08-22
Category : Language Arts & Disciplines
ISBN : 3110197251

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This book presents a unified formal approach to various contemporary linguistic formalisms such as Government & Binding, Minimalism or Tree Adjoining Grammar. Through a careful introduction of mathematical techniques from logic, automata theory and universal algebra, the book aims at graduate students and researchers who want to learn more about tightly constrained logical approaches to natural language syntax. Therefore it features a complete and well illustrated introduction to the connection between declarative approaches formalized in monadic second-order logic (MSO) and generative ones formalized in various forms of automata as well as of tree grammars. Since MSO logic (on trees) yields only context-free languages, and at least the last two of the formalisms mentioned above clearly belong to the class of mildly context-sensitive formalisms, it becomes necessary to deal with the problem of the descriptive complexity of the formalisms involved in another way. The proposed genuinely new two-step approach overcomes this limitation of MSO logic while still retaining the desired tightly controlled formal properties.

Author : Roland Hausser
Publisher : Springer Science & Business Media
Page : 541 pages
File Size : 45,48 MB
Release : 2013-03-09
Category : Computers
ISBN : 3662039206

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The central task of future-oriented computational linguistics is the development of cognitive machines which humans can freely speak to in their natural language. This will involve the development of a functional theory of language, an objective method of verification, and a wide range of practical applications. Natural communication requires not only verbal processing, but also non-verbal perception and action. Therefore, the content of this book is organized as a theory of language for the construction of talking robots with a focus on the mechanics of natural language communication in both the listener and the speaker.

Author : Frank Morawietz
Publisher : Walter de Gruyter
Page : 262 pages
File Size : 43,83 MB
Release : 2003
Category : Computers
ISBN : 3110178214

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This book presents a unified formal approach to various contemporary linguistic formalisms such as Government & Binding, Minimalism or Tree Adjoining Grammar. Through a careful introduction of mathematical techniques from logic, automata theory and universal algebra, the book aims at graduate students and researchers who want to learn more about tightly constrained logical approaches to natural language syntax. Therefore it features a complete and well illustrated introduction to the connection between declarative approaches formalized in monadic second-order logic (MSO) and generative ones formalized in various forms of automata as well as of tree grammars. Since MSO logic (on trees) yields only context-free languages, and at least the last two of the formalisms mentioned above clearly belong to the class of mildly context-sensitive formalisms, it becomes necessary to deal with the problem of the descriptive complexity of the formalisms involved in another way. The proposed genuinely new two-step approach overcomes this limitation of MSO logic while still retaining the desired tightly controlled formal properties.