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About this book :-
Mathematical Logic: A Course with Exercises Part II written by Rene Cori, Daniel Lascar, Donald H. Pelletier
This book is based upon several years' experience teaching logic at the UFR of Mathematics of the University of Paris 7, at the beginning graduate level as well as within the DEA of Logic and the Foundations of Computer Science. As soon as the author began to prepare our first lectures, he realized that it was going to be very difficult to introduce our students to general works about logic written in (or even translated into) French. The authors therefore decided to take advantage of this opportunity to correct the situation. Thus the first versions of the eight chapters that you are about to read were drafted at the same time that their content was being taught. The authors insist on warmly thanking all the students who contributed thereby to a tangible improvement of the initial presentation.
Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The foundations having been laid in "Part I", this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.
Rene Cori and Daniel Lascar, Equipe de Logique Mathematique, Universite Paris VII, Translated by Donald H. Pelletier, York University, Toronto
Book Detail :-
Title: Mathematical Logic: A Course with Exercises Part II
Author(s): Rene Cori, Daniel Lascar, Donald H. Pelletier
Publisher: Oxford University Press
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About Author :-
The author Rene Cori is french mathematician.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions, solution manuals or solved notes avaliable of this author, We recomended you to download all.
• Download PDF Mathematical Logic I by Rene Cori, Daniel Lascar, Donald Pelletier
• Download PDF Mathematical Logic II by Rene Cori, Daniel Lascar, Donald Pelletier
• Download PDF Logic Colloquium 2000 by Rene Cori, Alexander Razborov, Stevo Todorcevic, Carol Wood
• Download PDF Lambda Calculus by Jean Louis Krivine, translated by René Cori
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Book Contents :-
Mathematical Logic: A Course with Exercises Part II written by
Rene Cori, Daniel Lascar, Donald H. Pelletier
cover the following topics.
1. Propositional calculus
2. Boolean algebras
3. Predicate calculus
4. The completeness theorems
Solutions to the exercises of Part I
5. Recursion theory
6. Formalization of arithmetic, Godel's theorems
7. Set theory
8. Some model theory
Solutiions to the exercises of Part II
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