by C. Ward Henson
Publisher: University of South Carolina 2010
Number of pages: 122
The purpose of this text is to give a thorough introduction to the methods of model theory for first order logic. Model theory is the branch of logic that deals with mathematical structures and the formal languages they interpret.
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by J. Barwise, S. Feferman - Springer
The subject matter of this book constitutes a merging of several directions in general model theory: cardinality quantifiers; infinitary languages; and, finally, that on generalized quantifiers and abstract characterizations of first-order logic.
by Harold Simmons - The University of Manchester
Topics covered: Basic ideas of language, satisfaction, and compactness; Some examples of elimination of quantifiers; The diagram technique; Model complete theories, companion theories, existentially closed structures, and various refinements; etc.
by William Weiss, Cherie D'Mello - University of Toronto
This book provides an introduction to Model Theory which can be used as a text for a reading course or a summer project at the senior undergraduate or graduate level. It is a primer which will give someone a self contained overview of the subject.
by D. Haskell, A. Pillay, C. Steinhorn - Cambridge University Press
The book gives the necessary background for the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains surveys by leading experts covering the whole spectrum of contemporary model theory.