Automata and Formal Language Theory (Course 2 / Semester 1) Discrete Mathematics (Course 1 / Semester 2)

Relevant contents: - Computational Complexity and Computational Cost. - Computational Cost of Structured and Recursive Programs - Computability and Decidability - Turing Machines (Multi-tape, Non deterministic) - Problem Reduction - Complexity Classes P, NP, NP-Complete and NP-Hard. - Other Models of Computation PROGRAMME 1. Computational Cost of Algorithms. 1.1 Computational Complexity and Computational Cost. 1.2 Computational Cost of Structured Programs 1.3 Computational Cost of Recursive Programs 1.4 Probabilistic Analysis 2. Introduction to Computability Theory 2.1 Definition of Problem. Decision Problems 2.2 Turing Machines and Decidability 2.3 Computability and Decidability 3. Introduction to Complexity Theory 3.1 Problem Reduction 3.2 Classes P, NP and NP-Complete. 3.3 Classes PSpace, NPSpace. 3.3 Classes NP-Hard, Exp, CoP, CoNP 4. Models of Computation 4.1 Turing Machines (Multi-tape, Non deterministic) 4.2 Cellular Automata 4.3 Lindenmayer Systems

Theoretical lectures: 1.5 ECTS. To achieve the specific cognitive competences of the course. Practical lectures: 1,5 ECTS. To develop the specific instrumental competences and most of the general competences, such as analysis, abstraction, problem solving and capacity to apply theoretical concepts. Besides, to develop the specific attitudinal competencies. They consist in proposing during the practical lectures a compiler/interpreter project to be developed in teamwork Guided academic activities (in presence of the teacher): 1 ECTS. The student proposes a project according to the teacher's guidance to go deeply into some aspect of the course, followed by a public presentation. Guided academic activities (in absence of the teacher): 1 ECTS. Exercises and complementary readings proposed by the teacher. EXAMINATION: 0,5 ECTS. To complete the development of specific cognitive and procedimental capacities. TUTORING SESSIONS. 0,5 ECTS Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.