Model Theory in Algebra, Analysis and Arithmetic

Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori

  • Lou van den Dries
  • Jochen Koenigsmann
  • H. Dugald Macpherson
  • Anand Pillay
  • Carlo Toffalori
  • Alex J. Wilkie

Part of the Lecture Notes in Mathematics book series (LNM, volume 2111)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2111)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Dugald Macpherson, Carlo Toffalori
    Pages 1-11
  3. Lou van den Dries
    Pages 55-157
  4. Jochen Koenigsmann
    Pages 159-195
  5. Back Matter
    Pages 197-198

About this book


Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.


Decidable theory Dependent theory Exponential field Model theory Valued field

Authors and affiliations

  • Lou van den Dries
    • 1
  • Jochen Koenigsmann
    • 2
  • H. Dugald Macpherson
    • 3
  • Anand Pillay
    • 4
  • Carlo Toffalori
    • 5
  • Alex J. Wilkie
    • 6
  1. 1.Department of MathematicsUniversity of IllinoisUrbanaUSA
  2. 2.Mathematical InstituteUniversity of OxfordOxfordUnited Kingdom
  3. 3.University of Leeds School of MathematicsLeedsUnited Kingdom
  4. 4.Department of MathematicsUniversity of Notre DameHurleyUSA
  5. 5.Division of MathematicsUniversity of Camerino School of Science and TechnologyCamerinoItaly
  6. 6.University of Manchester School of MathematicsManchesterUnited Kingdom

Bibliographic information

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