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Title Model Theory and Arithmetic
Author C. Berline
Publisher Lecture Notes in Mathematics
Release 1981-11
Category Mathematics
Total Pages 306
ISBN
Language English, Spanish, and French
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Model Theory by María Manzano

Title Model Theory
Author María Manzano
Publisher Oxford University Press
Release 1999
Category Computers
Total Pages 268
ISBN 9780198538516
Language English, Spanish, and French
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Book Summary:

Formal logic, free from the ambiguities of natural languages, is especially suited for use in computing. In turn, model theory, which is concerned with the relationship between mathematical structures and logic, now has a wide range of applications in areas such as computing, philosophy, and linguistics. Model theory's power comes from its usefulness in defining new structures and in classifying existing ones by establishing links between them. This book, suitable for both mathematicians and students from outside the field, provides a clear and readable introduction to the subject. It includes brief historically background for each major topic and consistently points out the motivations for each new development. The proofs are also explained in detail.

Logic Without Borders by Åsa Hirvonen

Title Logic Without Borders
Author Åsa Hirvonen
Publisher Walter de Gruyter GmbH & Co KG
Release 2015-03-10
Category Philosophy
Total Pages 438
ISBN 1614516871
Language English, Spanish, and French
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Book Summary:

In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

Groups and Model Theory by Olga Kharlampovich

Title Groups and Model Theory
Author Olga Kharlampovich
Publisher Walter de Gruyter GmbH & Co KG
Release 2021-05-10
Category Mathematics
Total Pages 244
ISBN 3110719762
Language English, Spanish, and French
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Book Summary:

This monograph provides an overview of developments in Groups and Model theory by key international researchers in the field. Topics covered include: stable groups and generalizations. model theory of nonabelian free groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory.

Title Model Theory An Introduction
Author David Marker
Publisher Springer Science & Business Media
Release 2002-08-21
Category Mathematics
Total Pages 342
ISBN 0387987606
Language English, Spanish, and French
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Book Summary:

Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures

Title Bounded Arithmetic Propositional Logic and Complexity Theory
Author Jan Krajicek
Publisher Cambridge University Press
Release 1995-11-24
Category Mathematics
Total Pages 361
ISBN 0521452058
Language English, Spanish, and French
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Book Summary:

Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Title Philosophy and Model Theory
Author Tim Button
Publisher Oxford University Press
Release 2018
Category Mathematics
Total Pages 534
ISBN 0198790392
Language English, Spanish, and French
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Book Summary:

Model theory is an important area of mathematical logic which has deep philosophical roots, many philosophical applications, and great philosophical interest in itself. The aim of this book is to introduce, organise, survey, and develop these connections between philosophy and model theory, for the benefit of philosophers and logicians alike.

Title Metamathematics of First order Arithmetic
Author Petr Hájek
Publisher
Release 1993
Category Arithmetic
Total Pages 488
ISBN
Language English, Spanish, and French
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Title The Structure of Models of Peano Arithmetic
Author Roman Kossak
Publisher Oxford University Press on Demand
Release 2006-06-29
Category Mathematics
Total Pages 326
ISBN 0198568274
Language English, Spanish, and French
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Book Summary:

Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for nonstandard models of arithmetic. The book covers basic isomorphism invariants: families of type realized in a model, lattices of elementary substructures and automorphism groups.

A Course in Model Theory by Bruno Poizat

Title A Course in Model Theory
Author Bruno Poizat
Publisher Springer Science & Business Media
Release 2000-05-25
Category Mathematics
Total Pages 488
ISBN 9780387986555
Language English, Spanish, and French
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Book Summary:

This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they quickly reach the essential, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. The next chapter introduces logic via the study of the models of arithmetic, and the following is a combinatorial tool-box preparing for the chapters on saturated and prime models. The last ten chapters form a rather complete but nevertheless accessible exposition of stability theory, which is the core of the subject.