Elementary Classes and Elementary Equivalence

  • J. Donald Monk
Part of the Graduate Texts in Mathematics book series (GTM, volume 37)


We now investigate the basic notions of first-order logic. We shall give mathematical characterizations of elementary classes due to Fraissé, Ehrenfeucht, and Keisler and Shelah. The fundamental results of first-order logic are distinguished from more general languages by a theorem of Lindstrom.


Model Theory Atomic Formula Elementary Equivalence Winning Strategy General Logic 
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Copyright information

© Springer-Verlag Inc. 1976

Authors and Affiliations

  • J. Donald Monk
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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