Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.

part I|100 pages

Model Theory of Strong Logics

chapter 1|20 pages

Expressive power of infinitary [0, 1]-logics

ByChristopher J. Eagle

chapter 2|54 pages

Scott processes

ByPaul B. Larson

chapter 3|24 pages

Failure of 0-1 law for sparse random graph in strong logics (Sh1062)

BySaharon Shelah

part II|222 pages

Model Theory of Special Classes of Structures

chapter 4|26 pages

Maximality of continuous logic

ByXavier Caicedo

chapter 6|32 pages

Randomizations of scattered sentences

ByH. Jerome Keisler

chapter 7|78 pages

Existentially closed locally finite groups (Sh312)

BySaharon Shelah

chapter 8|26 pages

Analytic Zariski structures and non-elementary categoricity

ByBoris Zilber

part III|103 pages

Abstract Elementary Classes

chapter 9|26 pages

Hanf numbers and presentation theorems in AECs

ByJohn T. Baldwin

chapter 10|75 pages

A survey on tame abstract elementary classes

ByWill Boney, Sebastien Vasey