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Recursion Theory, Godel's Theorems, set Theory, Model Theory (Mathematical Logic: A Course With Exercises, Part ii) (in English)
Rene Cori; Daniel Lascar; Donald H. Pelletier (Author)
·
Oxford University Press
· Paperback
Recursion Theory, Godel's Theorems, set Theory, Model Theory (Mathematical Logic: A Course With Exercises, Part ii) (in English) - Rene Cori; Daniel Lascar; Donald H. Pelletier
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Synopsis "Recursion Theory, Godel's Theorems, set Theory, Model Theory (Mathematical Logic: A Course With Exercises, Part ii) (in English)"
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.
