Course details

Modern Theoretical Computer Science

TID Acad. year 2010/2011 Winter semester

Current academic year

Guarantor

Language of instruction

Czech, English

Completion

Examination

Time span

  • 39 hrs lectures
  • 13 hrs projects

Department

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.

Course inclusion in study plans

  • Programme VTI-DR-4, field DVI4, any year of study, Elective
  • Programme VTI-DR-4, field DVI4, any year of study, Elective
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