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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.
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Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition, Heinz Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas
- Lingua
- Pubblicato
- 2021
- Rilegatura
- (Copertina rigida)
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- Titolo
- Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition
- Lingua
- Inglese
- Editore
- Springer
- Pubblicato
- 2021
- Formato
- Copertina rigida
- Pagine
- 304
- ISBN10
- 3030738388
- ISBN13
- 9783030738389
- Serie
- Categoria
- Descrizione
- 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.