Mathematical Aspects Of Natural And Formal Languages

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Mathematical Aspects Of Natural And Formal Languages

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Author : Gheorghe P?un
language : en
Publisher: World Scientific
Release Date : 1994

Mathematical Aspects Of Natural And Formal Languages written by Gheorghe P?un and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

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.

Structure Of Language And Its Mathematical Aspects

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Author : Roman Jakobson
language : en
Publisher: American Mathematical Soc.
Release Date : 1961

Structure Of Language And Its Mathematical Aspects written by Roman Jakobson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Language and languages categories.

Mathematical Aspects Of Natural And Formal Languages

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Author : Gheorghe Paun
language : en
Publisher: World Scientific
Release Date : 1994-10-25

Mathematical Aspects Of Natural And Formal Languages written by Gheorghe Paun and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-25 with Computers categories.

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

Formal Languages And Compilation

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Author : Stefano Crespi Reghizzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03

Formal Languages And Compilation written by Stefano Crespi Reghizzi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-03 with Computers categories.

State of books on compilers The book collects and condenses the experience of years of teaching compiler courses and doing research on formal language theory, on compiler and l- guage design, and to a lesser extent on natural language processing. In the turmoil of information technology developments, the subject of the book has kept the same fundamental principles over half a century, and its relevance for theory and practice is as important as in the early days. This state of a?airs of a topic, which is central to computer science and is based on consolidated principles, might lead us to believe that the acc- panying textbooks are by now consolidated, much as the classical books on mathematics. In fact this is rather not true: there exist ?ne books on the mathematical aspects of language and automata theory, but the best books on translators are sort of encyclopaedias of algorithms, design methods, and practical know-how used in compiler design. Indeed a compiler is a mic- cosm,featuring avarietyofaspectsrangingfromalgorithmicwisdomto CPU andmemoryexploitation.Asaconsequencethetextbookshavegrowninsize, and compete with respect to their coverage of the last developments on p- gramming languages, processor architectures and clever mappings from the former to the latter.

An Introduction To Formal Language Theory

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Author : Robert N. Moll
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Formal Language Theory written by Robert N. Moll and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Mathematics Of Language

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Author : Alexis Manaster-Ramer
language : en
Publisher: John Benjamins Publishing
Release Date : 1987-01-01

Mathematics Of Language written by Alexis Manaster-Ramer and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Language Arts & Disciplines categories.

By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.

Scientific Applications Of Language Methods

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Author : Carlos Mart¡n Vide
language : en
Publisher: World Scientific
Release Date : 2011

Scientific Applications Of Language Methods written by Carlos Mart¡n Vide and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Presenting interdisciplinary research at the forefront of present advances in information technologies and their foundations, Scientific Applications of Language Methods is a multi-author volume containing pieces of work (either original research or surveys) exemplifying the application of formal language tools in several fields, including logic and discrete mathematics, natural language processing, artificial intelligence, natural computing and bioinformatics.

Bio Inspired Models For Natural And Formal Languages

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Author : Gemma Bel-Enguix
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2011-01-18

Bio Inspired Models For Natural And Formal Languages written by Gemma Bel-Enguix and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-18 with Computers categories.

This volume is a collection of papers written by several researchers that have in common the use of bio-inspired models to approach formal and natural languages. The main goal of the volume is to promote interdisciplinarity among linguistics, biology and computation. The area of convergence between these three disciplines is giving rise to the emergence of new scientific paradigms that will have an epistemological, social and cultural impact. The book is organized around three thematic areas. Every area relates two of the three main topics: language, computation and biology. This volume stands out from existing publications because of its interdisciplinary nature. There has been a long tradition of interchanging methods among the aforementioned three disciplines, but it is difficult to find a single volume where this interchange of methods is shown. The volume includes chapters that clearly illustrate these interdisciplinary approaches and their benefits. This book will be of value to specialists who work in linguistics, biology or computation, and have interest in using methods from other disciplines that can provide new ideas, new tools and new formalisms to approach their problems, and that can help in the improvement of their theories and models.

Mathematical Methods In Linguistics

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Author : Barbara B.H. Partee
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Methods In Linguistics written by Barbara B.H. Partee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Language Arts & Disciplines categories.

Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.

Handbook Of Formal Languages

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Author : Grzegorz Rozenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-02-28

Handbook Of Formal Languages written by Grzegorz Rozenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-28 with Computers categories.

The need for a comprehensive survey-type exposition on formal languages and related mainstream areas of computer science has been evident for some years. In the early 1970s, when the book Formal Languages by the second mentioned editor appeared, it was still quite feasible to write a comprehensive book with that title and include also topics of current research interest. This would not be possible anymore. A standard-sized book on formal languages would either have to stay on a fairly low level or else be specialized and restricted to some narrow sector of the field. The setup becomes drastically different in a collection of contributions, where the best authorities in the world join forces, each of them concentrat ing on their own areas of specialization. The present three-volume Handbook constitutes such a unique collection. In these three volumes we present the current state of the art in formallanguage theory. We were most satisfied with the enthusiastic response given to our request for contributions by specialists representing various subfields. The need for a Handbook of Formal Languages was in many answers expressed in different ways: as an easily accessible his torical reference, a general source of information, an overall course-aid, and a compact collection of material for self-study. We are convinced that the final result will satisfy such various needs.