| Autore |
Marker David
|
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa |
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
|
| Descrizione fisica |
1 online resource (359 pages)
|
| Disciplina |
511.3
|
| Collana |
Graduate Texts in Mathematics
|
| Soggetto topico |
Logic, Symbolic and mathematical
Mathematical Logic and Foundations
Lògica matemàtica
|
| Soggetto genere / forma |
Llibres electrònics
|
| ISBN |
3-031-55368-3
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
Introduction -- I. Truth and Proof -- 1 Languages, Structures and Theories -- 2 Embeddings and Substructures -- 3 Formal Proofs -- 4 Gödel's Completeness Theorem -- II. Elements of Model Theory -- 5 Compactness and Complete Theories -- 6 Ultraproducts -- 7 Quantifier Elimination -- 8 Model Theory of the Real Field -- III. Computability -- 9 Models of Computation -- 10 Universal Machines and Undecidability -- 11 Computably Enumerable and Arithmetic Sets -- 12 Turing Reducibility -- IV. Arithmetic and Incompleteness.-13 Gödel's Incompleteness Theorems -- 14 Hilbert’s 10th Problem -- 15 Peano Arithmetic and ϵ0 -- 16 Models of Arithmetic and Independence Results. - Appendices -- A Set Theory. - B Unique Readability. - C Real Algebra. -Bibliography. - Index.
|
| Record Nr. | UNINA-9910855373203321 |