Model Theory for Modal Logic

Von:

K. A. Bowen

Beschreibung

Inhalt Syntactic Considerations.- Modal Structures and Morphisms.- Validity.- Completeness.- Löwenheim-Skolem Theorems.- Ultraproducts.- Ultrafilter Pairs and Elementary Embeddings.- Direct Limits.- Model Extensions.- Inductive Theories.- Joint Consistency and...

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Beschreibung

Inhalt
Syntactic Considerations.- Modal Structures and Morphisms.- Validity.- Completeness.- Löwenheim-Skolem Theorems.- Ultraproducts.- Ultrafilter Pairs and Elementary Embeddings.- Direct Limits.- Model Extensions.- Inductive Theories.- Joint Consistency and Interpolation.- Model Completeness.- Finite Forcing.- Forcing and Model Completions.- Omitting Types and a Two-Cardinal Theorem.