Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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1 module between the following1 module between the following3 modules among the followingLegend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical logic (2019/2020)
Teaching code
4S001096
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/01 - MATHEMATICAL LOGIC
Period
I semestre dal Oct 1, 2019 al Jan 31, 2020.
Learning outcomes
The course is intended to introduce into the interaction between syntax (formal languages and calculi) and semantics (interpretations and models) as is fundamental for abstract mathematics and theoretical informatics.
Program
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 | Publishing house | Year | ISBN | Notes |
|---|---|---|---|---|---|
| Troelstra, Anne S. & Schwichtenberg, Helmut | Basic Proof Theory. (Edizione 2) | Cambridge University Press | 2000 | 0-521-77911-1 | |
| Jon Barwise (ed.) | Handbook of Mathematical Logic | North-Holland | 1977 | 0-444-86388-5 | |
| 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 | |||
| Helmut Schwichtenberg, Stanley S. Wainer | Proofs and Computation | Cambridge University Press | 2012 | 9780521517690 |
Examination Methods
Single oral exam with open questions and grades out of 30. The exam modalities are equal for attending and non-attending students.
The exam's objective is to verify the full maturity about proof techniques and the ability to read and comprehend advanced arguments of mathematical logic.
