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Problems in Set Theory, Mathematical Logic and the Theory of Algorithms G. Corsi

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms By G. Corsi

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by G. Corsi

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Summary

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory.

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms Summary

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by G. Corsi

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.

Table of Contents

Preface. I: Problems. 1. Set theory. 1.1. Operations on sets. 1.2. Relations and functions. 1.3. Special binary relations. 1.4. Cardinal numbers. 1.5. Ordinal numbers. 1.6. Operations on cardinal numbers. 2: Algebra. 2.1. Algebra of propositions. 2.2. Truth functions. 2.3. Propositional calculi. 2.4. The language of predicate logic. 2.5. Satisfiability of predicate formulas. 2.6. Predicate calculi. 2.7. Axiomatic theories. 2.8. Reduced products. 2.9. Axiomatizable classes. 3: Theory of algorithms. 3.1. Partial recursive functions. 3.2. Turing machines. 3.3. Recursive and recursively enumerable sets. 3.4. Kleene and Post numberings. II: Solutions. 1. Set theory. 1.1. Operations on sets. 1.2. Relations and functions. 1.3. Special binary relations. 1.4. Cardinal numbers. 1.5. Ordinal numbers. 1.6. Operations on cardinal numbers. 2. Mathematical logic. 2.1. Algebra of propositions. 2.2. Truth functions. 2.3. Propositional calculi. 2.4. The language of predicate logic. 2.5. Satisfiability of predicate formulas. 2.6. Predicate calculi. 2.7. Axiomatic theories. 2.8. Reduced products. 2.9. Axiomatizable classes. 3: Theory of algorithms. 3.1. Partial recursive functions. 3.2. Turing machines. 3.3. Recursive and recursively enumerable sets. 3.4. Kleene and Post numberings. References. Index.

Additional information

NPB9780306477126
9780306477126
0306477122
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by G. Corsi
G. Corsi
University Series in Mathematics
New
Hardback
Springer Science+Business Media
2003-03-31
282
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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