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

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

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 2025/2026

The 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.

CURRICULUM TIPO:

1° Year 

ModulesCreditsTAFSSD
6
B
MAT/08
6
B
MAT/07
6
B
MAT/03
12
B
MAT/05
6
B
MAT/05
6
C
MAT/06

2° Year   activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 course to be chosen among the following
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/05
6
C
INF/01
6
C
MAT/09
6
C
MAT/08
6
C
MAT/07
6
C
MAT/08
Between the years: 1°- 2°
One course to be chosen among the following
6
B
MAT/02
6
B
MAT/02
Between the years: 1°- 2°
12
D
-
Between the years: 1°- 2°
Other activitites
4
F
-

Legend | 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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Mathematical logic  (2015/2016)

Teaching code

4S001096

Teacher

Peter Michael Schuster

Coordinator

Peter Michael Schuster

Credits

6

Also offered in courses:

  • Logic of the course Master's degree in Computer Science and Engineering

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

Period

I semestre dal Oct 1, 2015 al Jan 29, 2016.

Seminars 2

Learning outcomes

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.

Reference texts
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
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

Examination Methods

Written or oral examination, depending on the number of candidates who want to sit the exam.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents