Overview
- Authors:
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Barbara H. Partee
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Department of Linguistics, University of Massachusetts, Amherst, USA
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Alice Meulen
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Departments of Philosophy and Linguistics, Indiana University, Bloomington, USA
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Robert E. Wall
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Department of Linguistics, University of Texas, Austin, USA
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Table of contents (22 chapters)
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English as a Formal Language
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 315-369
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 371-399
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 401-428
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Languanges, Grammars, and Automata
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Front Matter
Pages 429-429
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 431-452
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 453-484
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 485-504
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 505-525
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 527-532
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 533-551
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- Barbara H. Partee, Alice Ter Meulen, Robert E. Wall
Pages 553-557
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Back Matter
Pages 559-666
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
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Department of Linguistics, University of Massachusetts, Amherst, USA
Barbara H. Partee
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Departments of Philosophy and Linguistics, Indiana University, Bloomington, USA
Alice Meulen
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Department of Linguistics, University of Texas, Austin, USA
Robert E. Wall