Structure Of Language And Its Mathematical Aspects

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Structure of Language and Its Mathematical Aspects

Author : Roman Jakobson
Publisher : American Mathematical Soc.
Page : 288 pages
File Size : 41,8 Mb
Release : 1961
Category : Language and languages
ISBN : 9780821813126

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Structure of Language and Its Mathematical Aspects by Roman Jakobson Pdf

Mathematical Aspects of Natural and Formal Languages

Author : Gheorghe Paun
Publisher : World Scientific
Page : 500 pages
File Size : 51,8 Mb
Release : 1994-10-25
Category : Computers
ISBN : 9789814518154

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Mathematical Aspects of Natural and Formal Languages by Gheorghe Paun Pdf

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. Contents:Substitutions on Words and LanguagesApplications to Cryptography (A Atanasiu)Grammar Systems: A Multi-Agent Framework for Natural Language Generation (E Csuhaj-Varjú)Normal Forms for Contextual Grammars (A Ehrenfeucht et al.)Control Mechanisms on #-Context-Free Array Grammars (R Freund)On Transitive Cofinal Automata (M Ito & M Katsura)Algebraic Foundations for Montague Grammars (H Jürgensen & K Tent)A Periodic Languages and Generalizations (J Kari & G Thierrin)Matrix Grammars Versus Parallel Communicating Grammar Systems (V Mihalache)Reducts Versus Reducing Operators (M Novotný)On Conditional Grammars and Conditional Petri Nets (F-L Tiplea)and other papers Readership: Computer scientists. keywords:Algebra;Array Grammar;Automaton;Chomsky Grammar;Combinatorics on Words;Cryptography;Grammar System;Marcus Grammar;Mereology;Montague Grammar;Natural Language;Petri Net

Language in its multifarious aspects

Author : Petr Sgall
Publisher : Karolinum Press
Page : 556 pages
File Size : 46,7 Mb
Release : 2006-04-01
Category : Language Arts & Disciplines
ISBN : 9788024611587

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Language in its multifarious aspects by Petr Sgall Pdf

This exceptional book of selected essays by the leading Czech linguist and member of the Prague Linguistic Circle contains 26 essays in English and 4 in German. It presents the wide scope of Sgall's interest and in six parts introduces the main spheres of author's interest - the first part of the book deals with general and theoretical questions, the second contains Sgall's contribution to syntax, the third covers the functional sentence perspective, the fourth sentences and discourse, the fifth language typology and the last part covers speech and writing

Mathematical Linguistics

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 41,8 Mb
Release : 2007-12-16
Category : Mathematics
ISBN : 9781846289866

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Mathematical Linguistics by Andras Kornai Pdf

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Elements of Mathematical Linguistics

Author : Alexej V. Gladkij,Igor A. Melcuk
Publisher : Walter de Gruyter GmbH & Co KG
Page : 268 pages
File Size : 54,7 Mb
Release : 2020-07-06
Category : Language Arts & Disciplines
ISBN : 9783110810806

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Elements of Mathematical Linguistics by Alexej V. Gladkij,Igor A. Melcuk Pdf

Mathematical Aspects of Artificial Intelligence

Author : Frederick Hoffman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 41,8 Mb
Release : 1998
Category : Artificial intelligence
ISBN : 9780821806111

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Mathematical Aspects of Artificial Intelligence by Frederick Hoffman,American Mathematical Society Pdf

There exists a history of great expectations and large investments involving artificial intelligence (AI). There are also notable shortfalls and memorable disappointments. One major controversy regarding AI is just how mathematical a field it is or should be. This text includes contributions that examine the connections between AI and mathematics, demonstrating the potential for mathematical applications and exposing some of the more mathematical areas within AI. The goal is to stimulate interest in people who can contribute to the field or use its results. Included in the work by M. Newborn on the famous Deep BLue chess match. He discusses highly mathematical techniques involving graph theory, combinatorics and probability and statistics. G. Shafer offers his development of probability through probability trees with some of the results appearing here for the first time. M. Golumbic treats temporal reasoning with ties to the famous Frame Problem. His contribution involves logic, combinatorics and graph theory and leads to two chapters with logical themes. H. Kirchner explains how ordering techniques in automated reasoning systems make deduction more efficient. Constraint logic programming is discussed by C. Lassez, who shows its intimate ties to linear programming with crucial theorems going back to Fourier. V. Nalwa's work provides a brief tour of computer vision, tying it to mathematics - from combinatorics, probability and geometry to partial differential equations. All authors are gifted expositors and are current contributors to the field. The wide scope of the volume includes research problems, research tools and good motivational material for teaching.

Structures and Algorithms

Author : Jens Erik Fenstad
Publisher : Springer
Page : 134 pages
File Size : 49,6 Mb
Release : 2018-03-10
Category : Philosophy
ISBN : 9783319729749

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Structures and Algorithms by Jens Erik Fenstad Pdf

This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.

Mathematical and Computational Analysis of Natural Language

Author : Carlos Martín Vide
Publisher : John Benjamins Publishing
Page : 410 pages
File Size : 46,7 Mb
Release : 1998-01-01
Category : Language Arts & Disciplines
ISBN : 9789027215543

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Mathematical and Computational Analysis of Natural Language by Carlos Martín Vide Pdf

In the last decade, computational linguistics has produced a revival of the interest in the mathematical study of the various levels of human language. This volume contains a selection of recent research papers approaching mathematical and computational topics in natural languages, with a special attention being paid to syntax and semantics. According with their main focus, the papers are distributed into four parts: Syntax, Semantics, Natural language processing and Varia, which cover a vast range of problems. The book may be of interest to all those who intend to know which kind of mathematics is used when giving account of natural language, as well as to people working on computational issues involving human-machine interaction.

Logical Aspects of Computational Linguistics

Author : Nicholas Asher,Sergei Soloviev
Publisher : Springer
Page : 189 pages
File Size : 52,6 Mb
Release : 2014-06-16
Category : Computers
ISBN : 9783662437421

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Logical Aspects of Computational Linguistics by Nicholas Asher,Sergei Soloviev Pdf

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 8th International Conference on Logical Aspects of Computational Linguistics (LACL 2014) held in Toulouse, France, in June 2014. On the broadly syntactic side, there are papers on the logical and computational foundations of context free grammars, pregroup grammars, on the Lambek calculus and on formalizations of aspects of minimalism. There is also a paper on Abstract Categorical Grammar, as well as papers on issues at the syntax/semantics interface. On the semantic side, the volume's papers address monotonicity reasoning and the semantics of adverbs in type theory, proof theoretical semantics and predicate and argument invariance.

Handbook of Logic and Language

Author : Johan F.A.K. van Benthem,Alice ter Meulen
Publisher : Elsevier
Page : 1169 pages
File Size : 45,6 Mb
Release : 2010-12-17
Category : Mathematics
ISBN : 9780444537270

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Handbook of Logic and Language by Johan F.A.K. van Benthem,Alice ter Meulen Pdf

The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories