Mathematical Logic

H.-D. Ebbinghaus, J. Flum, Wolfgang Thomas (Autoren)

Buch | Softcover

291 Seiten

2012 | 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994
Springer-Verlag New York Inc.
978-1-4757-2357-1 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 12.12.2012
• Reihe/Serie: Undergraduate Texts in Mathematics
• Zusatzinfo: X, 291 p.
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 468 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Themenwelt: Sozialwissenschaften ► Pädagogik
• Schlagworte: Logic • Mathematische Logik
• ISBN-10: 1-4757-2357-1 / 1475723571
• ISBN-13: 978-1-4757-2357-1 / 9781475723571
• Zustand: Neuware