About this product

Product Identifiers

PublisherSpringer Netherlands

ISBN-109027722455

ISBN-139789027722454

eBay Product ID (ePID)554961

Product Key Features

Number of PagesXxii, 666 Pages

Publication NameMathematical Methods in Linguistics

LanguageEnglish

Publication Year1990

SubjectLogic, Speech & Audio Processing, Linguistics / General

TypeTextbook

Subject AreaPhilosophy, Computers, Language Arts & Disciplines

AuthorAlice G. Ter Meulen, Barbara H. Partee, Robert Wall

SeriesStudies in Linguistics and Philosophy Ser.

FormatTrade Paperback

Dimensions

Item Weight74.4 Oz

Item Length8.3 in

Item Width5.8 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN87-009893

Dewey Edition19

Series Volume Number30

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal410/.72

Table Of ContentA Set Theory.- 1 Basic Concepts of Set Theory.- 2 Relations and Functions.- 3 Properties of Relations.- 4 Infinities.- B Logic and Formal Systems.- 5 Basic Concepts of Logic and Formal Systems.- 6 Statement Logic.- 7 Predicate Logic.- 8 Formal Systems, Axiomatization, and Model Theory.- C Algebra.- 9 Basic Concepts of Algebra.- 10 Operational Structures.- 11 Lattices.- 12 Boolean and Heyting Algebras.- D English As A Formal Language.- 13 Basic Concepts.- 14 Generalized Quantifiers.- 15 Intensionality.- E Languages, Grammars, and Automata.- 16 Basic Concepts.- 17 Finite Automata, Regular Languages and Type 3 Grammars.- 18 Pushdown Automata, Context Free Grammars and Languages.- 19 Turing Machines, Recursively Enumerable 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.- Solutions to Selected Exercises.- 1.- 2.- 3.- 4.- Review problems, PartA.- 6.- 7.- 8.- Review problems, Part B.- 9.- 10.- 11.- 12.- Review problems, Part C.- 13.- 14.- 15.- 17.- 18.- 19.- 20.- Appendix E-II.- Review problems, Part E.

SynopsisElementary 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., 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.

LC Classification NumberP98-98.5