Course detail

Modern Theoretical Computer Science

FIT-TIDAcad. year: 2017/2018

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.

Language of instruction

Czech, English

Mode of study

Not applicable.

Guarantor

prof. RNDr. Alexandr Meduna, CSc.

Department

Department of Information Systems (UIFS)

Learning outcomes of the course unit

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

Prerequisites

formal languages

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

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

Course curriculum

    Syllabus of lectures:
    • Introduction.
    • Regulated formal models: principles.
    • Matrix grammars.
    • Parallel grammars.
    • Random-context grammars.
    • Left versions of regulated grammars.
    • Hierarchy of Language Families Resulting from Regulated Grammars.
    • CD Grammar Systems.
    • PC Grammar Systems.
    • L systems.
    • Semi-parallel formal models; multi-grammars.
    • Scattered context grammars.
    • New versions of classical automata. 
    • Current 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

Work placements

Not applicable.

Aims

To give an in-depth overview of modern theoretical computer science. Most importantly, to present the latest research in the area of automata, formal languages, formal models, computability, complexity, and translation.

Specification of controlled education, way of implementation and compensation for absences

1. Paper during the semester:

  • 40 points = 30 for essay + 10 for presentation.
  • The topic has to be related to the topic of the course, approved by both guarantee (Prof. Meduna) and the supervisor.
  • The paper has to be submitted by Monday of the week of presentation. Send it by email to meduna@fit.vutbr.cz, with a subject "TID-paper". Attention! If the paper is sent on Tuesday of the week of presentation, loss of 5 points follows. Any later sening will be discussed individually.
  • After the presentation, the paper can be improved and re-submit.

2. Oral exam consists of two questions, 30 points each.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: Introduction to Automata Theory, Boston, Addison-Wesley, 2001 mnoho nejnovějších článků, vědeckých zpráv a knih

Recommended reading

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

Classification of course in study plans

  • Programme CSE-PHD-4 Doctoral

    branch DVI4 , 0 year of study, winter semester, elective

  • Programme IT-DR-1H Doctoral

    branch DRH , 0 year of study, winter semester, compulsory-optional