Mathematical Methods in Linguistics (Studies in Linguistics and Philosophy)

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9789027722454: Mathematical Methods in Linguistics (Studies in Linguistics and Philosophy)
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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.

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Barbara B. H. Partee, A. G. ter Meulen, Robert Wall
Published by Springer, Netherlands (1990)
ISBN 10: 9027722455 ISBN 13: 9789027722454
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Book Description Springer, Netherlands, 1990. Paperback. Condition: New. Language: English . Brand New 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. 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. Softcover reprint of the original 1st ed. 1993. Seller Inventory # AAZ9789027722454

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Barbara B. H. Partee, A. G. ter Meulen, Robert Wall
Published by Springer, Netherlands (1990)
ISBN 10: 9027722455 ISBN 13: 9789027722454
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Book Description Springer, Netherlands, 1990. Paperback. Condition: New. Language: English . Brand New 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. 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. Softcover reprint of the original 1st ed. 1993. Seller Inventory # AAZ9789027722454

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Barbara H. Partee,Alice Ter Meulen,Robert Wall
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Book Description Springer 1990-04-30, 1990. Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-GRD-00414405

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Partee, Barbara
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Book Description Springer 1990-04, 1990. Condition: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-LSI-06888017

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Book Description Springer, 1990. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # GB-9789027722454

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Barbara B.H. Partee, A.G. ter Meulen, R. Wall
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Book Description Springer Netherlands 1990-04-01, Berlin, 1990. paperback. Condition: New. Seller Inventory # 9789027722454

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Book Description Condition: New. Publisher/Verlag: Springer Netherlands | 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. | Preface. Part A. Set Theory. 1. Basic Concepts of Set Theory. 2. Relations and Functions. 3. Properties of Relations. 4. Infinities. Appendix A1. Part B. Logic and Formal Systems. 5. Basic Concepts of Logic. 6. Statement Logic. 7. Predicate Logic. 8. Formal Systems, Axiomatization, and Model Theory. Appendix B1. Appendix BII. Part C. Algebra. 9. Basic Concepts of Algebra. 10. Operational Structures. 11. Lattices. 12. Boolean and Heyting Algebras. Part D. English as a Formal Language. 13. Basic Concepts of Formal Languages. 14. Generalized Quantifiers. 15. Intensionality. Part E. Languages, Grammars, and Automata. 16. Basic Concepts of Languages, Grammars, and Automata. 17. Finite Automata, Regular Languages and Type 3 Grammars. 18. Pushdown Automata, Context-Free Grammars and Languages. 19. Turing Machines, Recursively Enumberable Languages, and Type 0 Grammars. 20. Linear Bounded Automata, Context-Sensitive Languages and Type 1 Grammars. 21. Languages Between Context-Free and Context-Sensitive. 22. Transformational Grammars. Appendix EI. Appendix EII. Review Problems. Index. | Format: Paperback | Language/Sprache: english | 957 gr | 225x155x36 mm | 666 pp. Seller Inventory # K9789027722454

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Partee, Barbara H.; Meulen, A.G. Ter; Wall, Robert
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Book Description Springer, 1990. Condition: New. Including the standard constructions of relations, functions, and orderings, and leading to a discussion of the various orders of infinity, this work covers the standard statement logic and first-order predicate logic, and includes an introduction to formal systems, axiomatization, and model theory. Series: Studies in Linguistics and Philosophy. Num Pages: 666 pages, biography. BIC Classification: CF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 232 x 155 x 37. Weight in Grams: 992. . 1990. Softcover reprint of the original 1st ed. 1993. Paperback. . . . . . Seller Inventory # V9789027722454

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Partee, Barbara H.; Meulen, A.G. Ter; Wall, Robert
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Book Description Springer. Condition: New. Including the standard constructions of relations, functions, and orderings, and leading to a discussion of the various orders of infinity, this work covers the standard statement logic and first-order predicate logic, and includes an introduction to formal systems, axiomatization, and model theory. Series: Studies in Linguistics and Philosophy. Num Pages: 666 pages, biography. BIC Classification: CF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 232 x 155 x 37. Weight in Grams: 992. . 1990. Softcover reprint of the original 1st ed. 1993. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9789027722454

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