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A Problem Course in Mathematical Logic Book Free Download

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A Problem Course in Mathematical Logic
Version 1.6
Stefan Bilaniuk

Table of Contents

Part I. Propositional Logic

Chapter 1. Language

Chapter 2. Truth Assignments

Chapter 3. Deductions

Chapter 4. Soundness and Completeness

Part II. First-Order Logic

Chapter 5. Languages

Chapter 6. Structures and Models

Chapter 7. Deductions

Chapter 8. Soundness and Completeness

Chapter 9. Applications of Compactness

Part III. Computability

Chapter 10. Turing Machines

Chapter 11. Variations and Simulations

Chapter 12. Computable and Non-Computable Functions

Chapter 13. Recursive Functions

Chapter 14. Characterizing Computability

Part IV. Incompleteness

Chapter 15. Preliminaries

Chapter 16. Coding First-Order Logic

Chapter 17. Defining Recursive Functions In Arithmetic

Chapter 18. The Incompleteness Theorem

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