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Cambridge University Press - A Shorter Model Theory Textbook

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Description

Master the fundamentals of mathematical logic with A Shorter Model Theory from Cambridge University Press. This up-to-date textbook provides a clear path for students and researchers, moving from basic definitions to advanced concepts like Morley's theorem and the elementary parts of stability theory. This text covers essential standard results, including the compactness and omitting types theorems. It is designed to bridge the gap between logic and algebra by exploring the Skolem-Tarski method of quantifier elimination, model completeness, and automorphism groups. Readers can also study omega-categoricity, ultraproducts, O-minimality, and structures of finite Morley rank. For those looking to understand practical applications, the material on back-and-forth equivalences, interpretations, and zero-one laws offers a strong introduction to the field. Whether you are studying mathematical foundations or advanced logic, this textbook serves as a comprehensive guide to the core elements of model theory.

Key Features

Comprehensive coverage from initial definitions to Morley's theorem and stability theory.

Explores vital links with algebra including quantifier elimination and model completeness.

Includes essential mathematical logic results like compactness and omitting types theorems.

Detailed sections on automorphism groups, omega-categoricity, and ultraproducts.

Provides instruction on O-minimality and structures of finite Morley rank.

Offers an introduction to applications through back-and-forth equivalences and zero-one laws.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
28 April 1997
Listed Since
08 January 2007

Barcode

No barcode data available

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