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

Lavrov, Igor; Maksimova, Larisa. Ed(s): Corsi, Giovanna

ISBN 10: 1461349575 / ISBN 13: 9781461349570

Editore: Springer-Verlag New York Inc., 2012

Editor(s): Corsi, Giovanna. Series: University Series in Mathematics. Num Pages: 282 pages, biography. BIC Classification: HPL; PBC; UYAM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 16. Weight in Grams: 462. . 2012. Softcover reprint of the original 1st ed. 2003. Paperback. . . . . Codice articolo V9781461349570

Riassunto:

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.

Contenuti: 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.

Dati bibliografici

Titolo: Problems in Set Theory, Mathematical Logic ...
Casa editrice: Springer-Verlag New York Inc.
Data di pubblicazione: 2012
Legatura: Brossura
Condizione: New