Английская Википедия:Abstract logic
Материал из Онлайн справочника
Шаблон:Other uses In mathematical logic, an abstract logic is a formal system consisting of a class of sentences and a satisfaction relation with specific properties related to occurrence, expansion, isomorphism, renaming and quantification.[1]
Based on Lindström's characterization, first-order logic is, up to equivalence, the only abstract logic that is countably compact and has Löwenheim number ω.[2]
See also
- Шаблон:Annotated link
- Шаблон:Annotated link
- Шаблон:Annotated link
- Шаблон:Annotated link
- Шаблон:Annotated link
References
- ↑ C. C. Chang and Jerome Keisler Model Theory, 1990 Шаблон:ISBN page 128
- ↑ C. C. Chang and Jerome Keisler Model Theory, 1990 Шаблон:ISBN page 132