Informational Methods (2017/2018)

Course code
4S00995
Name of lecturers
Vincenzo Manca, Giuditta Franco
Coordinator
Vincenzo Manca
Number of ECTS credits allocated
6
Academic sector
INF/01 - INFORMATICS
Language of instruction
Italian
Period
II sem. dal Mar 1, 2018 al Jun 15, 2018.

Lesson timetable

Go to lesson schedule

Learning outcomes

The course intends to introduce the fundamental discrete structure by emphasizing their use in the definition of mathematical models of biological relevance. In the first part, after an introduction to the basic discrete structures, the number systems are analyzed, with the number representation systems, and the principle of structural induction and the principal combinatorial schemata. Then, the main concepts of formal language theory are presented, by concluding with the study of main classes of automata and the notions of decidability, computability, and semidecidability.

Syllabus

Discrete structures: sets, multisets, sequences, strings, operations, relations, functions, variables, parentheses and expressions. Numbers and induction: number systems, number representations, proofs by induction, definitions by induction of important number sequences. Structural induction over strings, trees e graphs. Outlines of first order logical languages (terms, formulas, interpretations). Elements of combinatorics: allocations and partitions, binomial and multinomial coefficients. Multisets, Partitions of sets and integers. Formal languages, grammars and automata. Patterns and regular expressions, Chomsky hierarchy, finite state automata. Computing automata and Turing macjine. Decidability, semidecidability ed undecidability.

Reference books
Author Title Publisher Year ISBN Note
Vincenzo Manca Infobiotics Springer 2013

Assessment methods and criteria

Written and oral examination.

The written exam requires that the student is able to use correctly the formalism taught in the course for expressing synthetically and correctly the solutions to the problems asked in the exam text.

The oral examination starts by checking the answers given by the student in the written exam, possibly by asking specific clarifications and motivations to specific passages and statements. During this verification the student is also asked to refer about specific points of the course, with the intention of checking the understanding of the main concepts that the course intends to teach.

Teaching Material
Manca, V. - Infobiotics. Springer, 2013 (Chapters 5, 6, 7).
Manca V. - Vademecum all'Esame di Metodi Informazionali (with a list of definitions and theorems plus 100 exercises with the corresponding solutions).

Statistics about transparency requirements (Attuazione Art. 2 del D.M. 31/10/2007, n. 544)

Data from AA 2017/2018 are not available yet