Wilfrid Hodges

Model Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. März 1993
• Englisch
• ISBN-13: 9780511826726
• Artikelnr.: 39942923

Inhaltsangabe

Part I. Language and Structure: 1. Naming of parts
2. Classifying structures
3. Structures that look alike
4. Automorphisms
5. Interpretations
Part II. Piecing Together a Structure: 6. The first order case
7. The countable case
8. The existential case
9. The Horn case
Part III. Consequences of Compactness: 10. Saturation
11. Combinatorial
12. Expansions and categoricity
Examples
Bibliography
Index.