Course details
Modern Theoretical Computer Science
TID Acad. year 2006/2007 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
Completion
Time span
- 39 hrs lectures
- 13 hrs projects
Department
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