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

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. 2015/2016

ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
activated in the A.Y. 2015/2016
ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
three 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/07
6
C
MAT/08
6
C
MAT/08
Between the years: 1°- 2°
A 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  (2014/2015)

Teaching code

4S001096

Teacher

Ruggero Ferro

Coordinator

Ruggero Ferro

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

Period

I sem. dal Oct 1, 2014 al Jan 30, 2015.

Seminars 0

Learning outcomes

The teaching of mathematics faces relevant problems due to the difficult relationship between syntax and semantics. The goal of this course will be to study the relationship between syntax and semantic, showing the potentialities and the limits of formal languages.

Program

First order languages, validity and completeness results for these languages. Compactness theorem and the strengthening of the completeness theorem. The problem of the decidability of the syntactic control of the satisfiability of a set of formulas.The Lowenheim - Skolem theorems and non categorical theories. Skolem's paradox. Categoricity of the theory of a specific finite structure. Confutation trees for denumerable languages. Sequents, natural deduction and the syntactic analysis of validity. Hilbert's style deduction and the related theorems of validity and completeness. Propositional calculus. Higher order logics. Sketch of the Goedel's incompleteness theorems.

Examination Methods

Either open questions written exam or oral exam depending on the number of candidates attending the session.

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