Faculty of Information Technology, BUT

Course details

Modern Theoretical Computer Science

TID Acad. year 2007/2008 Winter semester

This course discusses advanced topics of theoretical computer science. It concentrates on the very recent research in the area of automata, formal languages, formal models, computability, complexity, and translation. The relation between theoretical computer science and mathematics is explained in detail. Philosophical aspects of theoretical computer science are discussed as well.

Guarantor

Language of instruction

Czech

Completion

Examination (oral)

Time span

39 hrs lectures, 13 hrs projects

Assessment points

60 exam, 40 projects

Department

Lecturer

Subject specific learning outcomes and competences

Thorough grasp of concepts and results achieved in modern theoretical computer science.

Learning objectives

In-depth overview of modern theoretical computer science.

Prerequisites

Prerequisite kwnowledge and skills

formal languages

Study literature

  • copy of lectures
  • Meduna, A.: Automata and Languages. London, Springer, 2000
  • John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: Introduction to Autotmata Theory, Boston, Addison-Wesley, 2001

Fundamental literature

  • John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: Introduction to Autotmata Theory, Boston, Addison-Wesley, 2001
  • many very recent papers, scientific reports and books

Syllabus of lectures

  • Introduction.
  • Pure formal models.
  • Regulated formal models; matrix and programmed rewriting.
  • Parallel formal models; L systems; semi-parallel formal models; scattered rewriting.
  • Universal formal systems; selective rewriting; grammar systems.
  • Formal models for natural languages.
  • Algbraic approach to automata; relations and translations.
  • Algbraic approach to formal languages; free monoids.
  • More on the relationship between mathematics and computer science; graphs, categories.
  • New approach to complexity and computability.
  • Theoretical computer science and philosophy; Russell, Wittgenstein, Godel, Carnap, Husserl, Marcel, Heidegger.
  • Crucial trends introduced during the last decade.
  • Expected future trends; summary.

Syllabus - others, projects and individual work of students

  • An essay based on selected scientific studies dealing with the teoretical computer science area related to the student's dissertation

Controlled instruction

several papers

Course inclusion in study plans

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