Mathematical Methods in Linguistics
Softcover reprint of the original 1st ed. 1993
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Mathematical Methods in Linguistics by Barbara B. H. Partee
Book DescriptionElementary 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.
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Book DetailsISBN: 9789027722454
(210mm x 148mm x 36mm)
Imprint: Kluwer Academic Publishers
Publish Date: 1-Apr-1990
Country of Publication: Netherlands
Books By Author Barbara B. H. Partee
Compositionality in Formal Semantics, Paperback (December 2003)
Compositionality in Formal Semantics is a collection of Barbara Partee's papers that have been influential in the field but are not readily available and includes a new introductory essay in which Partee reflects on how her thinking and the field of semantics have developed over the past 35 years.
Formal Semantics, Hardback (September 2002)» View all books by Barbara B. H. Partee
This is a collection of papers that have helped shaped the field of formal semantics in linguistics. It covers key central themes and includes an editorial introduction and extensive references. This should be a useful resource for students and scholars of semantics and the philosophy of language.
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