OVERVIEW

We introduce notions and results from Automata Theory and Computability Theory which are of paramount importance for a computer scientist.

Since the course is given in Italian, please have a look at the italian version of this page for further information.

AIMS AND CONTENT

LEARNING OUTCOMES

To understand key concepts of Theory of Automata and Theory of Computability, such as expressive power of automata, and decidability and semi-decidability of problems. 

TEACHING METHODS

Traditional.

SYLLABUS/CONTENT

Automata and Languages
Alphabets, strings, languages
Deterministic (DFA) and non deterministic (NFA) finite state automata
DFA minimization, regular expressions
Closure properties of regular languages, pumping lemma
Context-free grammars, deterministic and non deterministic push down automata (PDA)
Closure properties of context-free languages, pumping lemma

Computability
Turing machines, accepted languages
Indecidability, recursive and recursively enumerable languages, universal language and machine, indecidability of the universal language
Halting problem
Indecidable problems on Turing machines, Rice theorem, Church thesis

RECOMMENDED READING/BIBLIOGRAPHY

Course notes.

TEACHERS AND EXAM BOARD

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy