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Mathematical Methods in Linguistics

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  • © 1993

Overview

Part of the book series: Studies in Linguistics and Philosophy (SLAP, volume 30)

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Table of contents (22 chapters)

  1. Set Theory

  2. Logic and Formal Systems

  3. Algebra

  4. English as a Formal Language

Keywords

About this book

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.
Forupper-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.

Authors and Affiliations

  • Department of Linguistics, University of Massachusetts, Amherst, USA

    Barbara H. Partee

  • Departments of Philosophy and Linguistics, Indiana University, Bloomington, USA

    Alice Meulen

  • Department of Linguistics, University of Texas, Austin, USA

    Robert E. Wall

Bibliographic Information

  • Book Title: Mathematical Methods in Linguistics

  • Authors: Barbara H. Partee, Alice Meulen, Robert E. Wall

  • Series Title: Studies in Linguistics and Philosophy

  • DOI: https://doi.org/10.1007/978-94-009-2213-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1993

  • Hardcover ISBN: 978-90-277-2244-7Published: 30 April 1990

  • Softcover ISBN: 978-90-277-2245-4Published: 30 April 1990

  • eBook ISBN: 978-94-009-2213-6Published: 06 December 2012

  • Series ISSN: 0924-4662

  • Series E-ISSN: 2215-034X

  • Edition Number: 1

  • Number of Pages: XXII, 666

  • Topics: Computational Linguistics, Logic, Philosophy of Language

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