Course details

Modern Theoretical Computer Science

TID Acad. year 2007/2008 Winter semester

Current academic year

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

Meduna Alexandr, prof. RNDr., CSc. (DIFS)

Language of instruction

Czech, English

Completion

Examination

Time span

  • 39 hrs lectures
  • 13 hrs projects

Department

Department of Information Systems (UIFS)

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.

Prerequisite knowledge and skills

formal languages

Study literature

  • Kopie přednášek
  • 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 Automata Theory, Boston, Addison-Wesley, 2001
  • mnoho nejnovějších článků, vědeckých zpráv a knih

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.

Progress assessment

Study evaluation is based on marks obtained for specified items. Minimimum number of marks to pass is 50.

Controlled instruction

several papers

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