An Introduction to Good Old Fashioned Model Theory
by Harold Simmons
Publisher: The University of Manchester 2004
Number of pages: 180
Following topics are 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; Atomic structures and sufficiently saturated structures; The splitting technique and N0-categoricity.
Home page url
Download or read it online for free here:
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 Jan Wolenski - ESSLLI
This text provides the basic information about the metatheory of formal system. It will start with a brief information about propositional calculus and first-order logic. Then, fundamental theorems about elementary logic will be stated and proved.
by C. Ward Henson - University of South Carolina
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.
by David Reid - Smashwords
The skeleton of this book is a science fiction story without the usual mangling of physics. The flesh is composed of non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory.