A Course In Mathematical Logic

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A Course on Mathematical Logic

Author: Shashi Mohan Srivastava
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-02-15
This book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, completeness theorems, and finally the two Incompleteness Theorems of Godel.
A Course in Model Theory

Author: Bruno Poizat
language: en
Publisher: Springer Science & Business Media
Release Date: 2000-05-25
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
A Course in Mathematical Logic

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.