Course detail
Modern Theoretical Computer Science
FIT-TIDAcad. year: 2023/2024
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.
Topics for the state doctoral exam (SDZ):
- Normal Forms for General Grammars.
- Regulated Grammars.
- Matrix Grammars.
- Programmed Rewriting.
- Random Context Grammars.
- CD Grammar Systems.
- PC Grammar Systems.
- L Systems.
- Scattered Context Grammars.
- Transducers.
Language of instruction
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
1. Write a paper during the semester:
- Assessment: 40 points, where 30 for the paper itself and 10 for oral presentation (in English).
- The topic should be related to the topic of your dissertation and the theoretical computer science. It has to be approved by guarantee (prof. Meduna).
- The paper has to be electronically submitted a week before its oral presentation by email to meduna@fit.vut.cz, with a subject "TID-paper". Attention! If the paper is sent after the deadline, you lose approx. 10 points for each day of the delay.
- After the presentation, the paper can be improved and re-submitted.
2. Oral exam consists of two questions, 30 points each.
Aims
Thorough grasp of concepts and results achieved in modern theoretical computer science.
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
MEDUNA Alexander: Automata and Languages. London, Springer, 2000
mnoho nejnovějších článků, vědeckých zpráv a knih
Classification of course in study plans
- Programme DIT Doctoral 0 year of study, winter semester, compulsory-optional
- Programme DIT Doctoral 0 year of study, winter semester, compulsory-optional
- Programme DIT-EN Doctoral 0 year of study, winter semester, compulsory-optional
- Programme DIT-EN Doctoral 0 year of study, winter semester, compulsory-optional
- Programme IT-DR-1H Doctoral
specialization DRH , 0 year of study, winter semester, elective
- Programme CSE-PHD-4 Doctoral
branch DVI4 , 0 year of study, winter semester, elective
- Programme CSE-PHD-4 Doctoral
branch DVI4 , 0 year of study, winter semester, elective
- Programme CSE-PHD-4 Doctoral
branch DVI4 , 0 year of study, winter semester, elective
- Programme CSE-PHD-4 Doctoral
branch DVI4 , 0 year of study, winter semester, elective
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
- 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.
Guided consultation in combined form of studies
Teacher / Lecturer
Project
Teacher / Lecturer
Syllabus