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.

A.A. 2009/2010

Academic calendar

The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.

Academic calendar

Course calendar

The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..

Definition of lesson periods
Period From To
1st Semester Oct 1, 2009 Jan 31, 2010
2nd Semester Mar 1, 2010 Jun 15, 2010
Exam sessions
Session From To
Sessione straordinaria Feb 1, 2010 Feb 28, 2010
Sessione estiva Jun 16, 2010 Jul 31, 2010
Sessione autunnale Sep 1, 2010 Sep 30, 2010
Degree sessions
Session From To
Sessione autunnale Sep 29, 2009 Sep 29, 2009
Sessione straordinaria Dec 10, 2009 Dec 10, 2009
Sessione invernale Mar 17, 2010 Mar 17, 2010
Sessione estiva Jul 20, 2010 Jul 20, 2010
Period From To
Festa di Ognissanti Nov 1, 2009 Nov 1, 2009
Festa dell'Immacolata Concezione Dec 8, 2009 Dec 8, 2009
Vacanze Natalizie Dec 21, 2009 Jan 6, 2010
Vacanze Pasquali Apr 2, 2010 Apr 6, 2010
Festa della Liberazione Apr 25, 2010 Apr 25, 2010
Festa del Lavoro May 1, 2010 May 1, 2010
Festa del Santo Patrono di Verona S. Zeno May 21, 2010 May 21, 2010
Festa della Repubblica Jun 2, 2010 Jun 2, 2010
Vacanze Estive Aug 9, 2010 Aug 15, 2010

Exam calendar

Exam dates and rounds are managed by the relevant Science and Engineering Teaching and Student Services Unit.
To view all the exam sessions available, please use the Exam dashboard on ESSE3.
If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.

Exam calendar

Should you have any doubts or questions, please check the Enrolment FAQs

Academic staff


Bellin Gianluigi +39 045 802 7969

Belussi Alberto +39 045 802 7980

Bombieri Nicola +39 045 802 7094

Bonacina Maria Paola +39 045 802 7046

Carra Damiano +39 045 802 7059

Castellani Umberto +39 045 802 7988

Combi Carlo 045 802 7985

Cristani Matteo 045 802 7983

Cristani Marco +39 045 802 7841

Di Pierro Alessandra +39 045 802 7971

Farinelli Alessandro +39 045 802 7842

Favretto Giuseppe +39 045 802 8749 - 8748

Fontana Federico +39 045 802 7032

Fummi Franco 045 802 7994

Fusiello Andrea


Giachetti Andrea +39 045 8027998

Giacobazzi Roberto +39 045 802 7995

Manca Vincenzo 045 802 7981

Masini Andrea 045 802 7922

Mastroeni Isabella +39 045 802 7089

Menegaz Gloria +39 045 802 7024

Monti Francesca 045 802 7910

Muradore Riccardo +39 045 802 7835

Oliboni Barbara +39 045 802 7077

Posenato Roberto +39 045 802 7967

Pravadelli Graziano +39 045 802 7081

Quaglia Davide +39 045 802 7811

Segala Roberto 045 802 7997

Vigano' Luca

Villa Tiziano +39 045 802 7034

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 enrolment year.

Altre attivita' formative

1° Year


2° Year

Altre attivita' formative
Modules Credits TAF SSD
Between the years: 1°- 2°

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.

SPlacements in companies, public or private institutions and professional associations

Teaching code




Scientific Disciplinary Sector (SSD)





1st Semester dal Oct 1, 2009 al Jan 31, 2010.

To show the organization of the course that includes this module, follow this link:  Course organization

Learning outcomes

The goal of this module is to introduce students to computational complexity theory in general, to the NP-completeness theory in detail and to computational analysis of problems with respect to their approximability.


Computational model concept, computational resource, efficient algorithm and tractable problem.

Computational models
Turing Machine (MdT): definition, behavior, configuration, production and computation concepts. MdT examples. MdT and languages: the difference between accepting and deciding a language. MdT extension: multi-tape MdT (k-MdT)

Time Complexity
Time computational resource. Computational class TIME(). Theorem about polynomial relation between k-MdT computations and MdT ones (sketch of proof).
Introduction to Random Access Machine (RAM) computational model: configuration, program and computation concepts. RAM: computation time by uniform cost criterion and by logarithmic cost one. Example of a RAM program that determines the product of two integers.
Theorem about simulation cost of a MdT by a RAM.
Theorem about simulation cost of a RAM program by a MdT.
Sequential Computation Thesis and its consequences.
Linear Speed-up Theorem and its consequences.

P Computational Class.

Extension of MdT: non-deterministic MdT (NMdT).
Time resource for k-NMdT. NTIME() computational class.
Example of non-deterministic algorithm computable by a NMdT: algorithm for Satisfiability (SAT).

Relation between MdT and NMdT.

NP Computational Class.
Relation between P and NP. Example of a problem into NP: Travel-salesman Problem (TSP).
An alternative characterization of NP: polynomial verifiers.

EXP Computation Class.

Space Complexity.
Space complexity concept. MdT with I/O. Computational Classes: SPACE() and NSPACE().
Compression Theorem.
Computational Classes: L and NL.
Example of problems: PALINDROME ∈ L and PATH ∈ NL.

Theorems about relations between space and time for a MdT with I/O.
Relations betwee complexity classes.
Proper function concept and example of proper functions.
Borodin Gap Theorem.

Reachability method. Theorem about space-time classes: NTIME(f(n)) ⊆ SPACE(f(n)), NSPACE(f(n)) ⊆ TIME(k(log n+f(n))).

Universal MdT.
The Hf set.
Lemma 1 and 2 for time hierarchy theorem.
Time Hierarchy Theorem: strict and no-strict versions.
P ⊂ EXP Corollary.

Space Hierarchy Theorem. L ⊂ PSPACE Corollary.
Savitch Theorem. SPACE(f(n))=SPACE(f(n)^2) corollary. PSPACE=NPSPACE Corollary.

Reductions and completeness.
Reduction concept and logarithmic space reduction. HAMILTON PATH ≤log SAT, PATH ≤log CIRCUIT VALUE, CIRCUIT SAT ≤log SAT.
Language completeness concept.
Closure concept with respect to reduction.
Class reduction of L, NL, P, NP, PSPACE and EXP.
Computation Table concept.
Theorem about P-completeness of CIRCUIT VALUE problem.
Cook Theorem: an alternative proof.
Gadget concept and completeness proof of: INDEPENDENT SET, CLIQUE, VERTEX COVER and others.


Reference texts
Author Title Publishing house Year ISBN Notes
Christos H. Papadimitriou Computational complexity Addison Wesley 1994 0201530821 testo principale

Examination Methods

The examination consists of a written test (at the same time as the other two module tests) that lasts 1 hour (all tests together last 3 hours). The grade in this module is worth 1/3 of the grade in the Algorithms examination.

Type D and Type F activities

Modules not yet included

Career prospects

Module/Programme news

News for students

There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details.

Gestione carriere


List of theses and work experience proposals

theses proposals Research area
Analisi ed identificazione automatica del tono/volume della voce AI, Robotics & Automatic Control - AI, Robotics & Automatic Control
Analisi e percezione dei segnali biometrici per l'interazione con robot AI, Robotics & Automatic Control - AI, Robotics & Automatic Control
Integrazione del simulatore del robot Nao con Oculus Rift AI, Robotics & Automatic Control - AI, Robotics & Automatic Control
BS or MS theses in automated reasoning Computing Methodologies - ARTIFICIAL INTELLIGENCE
Sviluppo sistemi di scansione 3D Computing Methodologies - COMPUTER GRAPHICS
Sviluppo sistemi di scansione 3D Computing Methodologies - IMAGE PROCESSING AND COMPUTER VISION
Dati geografici Information Systems - INFORMATION SYSTEMS APPLICATIONS
Analisi ed identificazione automatica del tono/volume della voce Robotics - Robotics
Analisi e percezione dei segnali biometrici per l'interazione con robot Robotics - Robotics
Integrazione del simulatore del robot Nao con Oculus Rift Robotics - Robotics
BS or MS theses in automated reasoning Theory of computation - Logic
BS or MS theses in automated reasoning Theory of computation - Semantics and reasoning
Proposte di tesi/collaborazione/stage in Intelligenza Artificiale Applicata Various topics
Proposte di Tesi/Stage/Progetto nell'ambito delle basi di dati/sistemi informativi Various topics


As stated in point 25 of the Teaching Regulations for the A.Y. 2021/2022, attendance at the course of study is not mandatory.
Please refer to the Crisis Unit's latest updates for the mode of teaching.

Further services

I servizi e le attività di orientamento sono pensati per fornire alle future matricole gli strumenti e le informazioni che consentano loro di compiere una scelta consapevole del corso di studi universitario.