H.-D. Ebbinghaus,
J. Flum,
Wolfgang Thomas
Mathematical Logic
Gebonden Engels 1996 2e druk 9780387942582Levertijd ongeveer 9 werkdagen
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Samenvatting
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Specificaties
ISBN13:9780387942582
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:291
Uitgever:Springer New York
Druk:2
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Inhoudsopgave
Preface; Part A: 1. Introduction; 2. Syntax of First-Order Languages; 3. Semantics of first-Order Languages; 4. A Sequent Calculus; 5. The Completeness Theorem; 6. The Lowenheim-Skolem and the Compactness Theorem; 7. The Scope of First-Order Logic; 8. Syntactic Interpretations and Normal Forms; Part B: 9. Extensions of First-Order Logic; 10. Limitations of the Formal Method; 11. Free Models and Logic Programming; 12. An Algebraic Characterization of Elementary Equivalence; 13. Lindstroem's Theorems; References; Symbol Index; Subject Index
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