The interaction between syntax (formal languages and calculi) and semantics (interpretations and models) as is fundamental for abstract mathematics and theoretical informatics.
Formal languages of first-order predicate logic.
Calculus of natural deduction.
Minimal, intuitionistic and classical logic.
Soundness and completeness theorems.
Compactness and Löwenheim-Skolem theorems.
Models and theories.
| Author | Title | Publisher | Year | ISBN | Note |
| Troelstra, Anne S. & Schwichtenberg, Helmut | Basic Proof Theory. (Edizione 2) | Cambridge University Press | 2000 | 0-521-77911-1 | |
| David, René & Nour, Karim & Raffali, Christophe | Introduction à la Logique. Théorie de la démonstration (Edizione 2) | Dunod | 2004 | 9782100067961 | |
| Cantini, Andrea & Minari, Pierluigi | Introduzione alla logica : linguaggio, significato, argomentazione. (Edizione 1) | Le Monnier | 2009 | 978-88-00-86098-7 | |
| van Dalen, Dirk | Logic and Structure. (Edizione 5) | Springer | 2013 | 978-1-4471-4557-8 | |
| Abrusci, Vito Michele & Tortora de Falco, Lorenzo | Logica. Volume 1 - Dimostrazioni e modelli al primo ordine. (Edizione 1) | Springer | 2015 | 978-88-470-5537-7 | |
| Shoenfield, Joseph R. | Mathematical Logic. (Edizione 2) | Association for Symbolic Logic & A K Peters | 2001 | 1-56881-135-7 | |
| Schwichtenberg, Helmut | Mathematical Logic (lecture notes). | 2012 | http://www.math.lmu.de/~schwicht/lectures/logic/ws12/ml.pdf |
Written or oral examination, depending on the number of candidates who want to sit the exam.
Problems 1
(pdf, en, 1233 KB, 26/10/15)
Problems 2
(pdf, en, 285 KB, 26/11/15)
Solution Question 14
(pdf, en, 123 KB, 11/12/15)
