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Elements of Mathematical Linguistics

Elements of Mathematical Linguistics
Author: Alexej V. Gladkij
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 268
Release: 2020-07-06
Genre: Language Arts & Disciplines
ISBN: 3110810808

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Mathematical Methods in Linguistics

Mathematical Methods in Linguistics
Author: Barbara B.H. Partee
Publisher: Springer Science & Business Media
Total Pages: 669
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400922132

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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.


Mathematical Linguistics

Mathematical Linguistics
Author: Andras Kornai
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2007-11-10
Genre: Mathematics
ISBN: 1846289858

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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 Formal Semantics

Elements of Formal Semantics
Author: Yoad Winter
Publisher: Edinburgh University Press
Total Pages: 272
Release: 2016-04-08
Genre: Language Arts & Disciplines
ISBN: 0748677771

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Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.


Mathematical Linguistics

Mathematical Linguistics
Author: Andras Kornai
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2007-12-16
Genre: Mathematics
ISBN: 1846289866

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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.


Mathematical and Computational Analysis of Natural Language

Mathematical and Computational Analysis of Natural Language
Author: Carlos Martín Vide
Publisher: John Benjamins Publishing
Total Pages: 410
Release: 1998-01-01
Genre: Language Arts & Disciplines
ISBN: 9027215545

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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.


Issues in Mathematical Linguistics

Issues in Mathematical Linguistics
Author: Carlos Martín Vide
Publisher: John Benjamins Publishing
Total Pages: 227
Release: 1999
Genre: Language Arts & Disciplines
ISBN: 9027215561

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This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics. Such kind of investigation is a prerequisite for the computational processing of language and is narrowly related to current developments in other disciplines, namely theoretical computer science and mathematical logic. The volume offers a coherent picture of recent research on the mathematics of language, and may be of interest to a wide audience, from linguists to mathematicians. Detailed indexes of authors and topics provide an easy access to the contents.


The Language of Mathematics

The Language of Mathematics
Author: Mohan Ganesalingam
Publisher: Springer
Total Pages: 273
Release: 2013-03-14
Genre: Computers
ISBN: 3642370128

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The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers