UIAI012 Fundamentals of Theoretical Computer Science I

Faculty of Philosophy and Science in Opava
Summer 2024
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Lucie Ciencialová, Ph.D. (lecturer)
doc. RNDr. Lucie Ciencialová, Ph.D. (seminar tutor)
RNDr. Radka Poláková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Lucie Ciencialová, Ph.D.
Institute of Computer Science – Faculty of Philosophy and Science in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The objective of the course is to introduce to theory of informatics, especially to theory of formal languages. We deal with finite automata, regular expressions and simple formal grammars. The presented structures can be used for various purposes such as modelling and simulation in programming.
Learning outcomes
Students will be able to: - define important concepts of theoretical computer science - using abstract computational models - apply the acquired knowledge on concrete examples.
Syllabus
  • 1. Alphabet, formal languages, operations with formal languages.
  • 2. Regular languages, regular expressions.
  • 3. Finite automata.
  • 4. Closure properties of regular languages.
  • 5. Regular grammars and their relation to finite automata.
  • 6. Chomsky hierarchy of languages.
  • 7. Context-free grammars, their variations and properties.
  • 8. Pushdown automata.
Literature
    required literature
  • CIENCIALOVÁ, Lucie. Teoretické základy informatiky. Opava: Slezská univerzita v Opavě, 2014. ISBN 978-80-7510-130-3. info
  • VAVREČKOVÁ, Šárka. Teorie jazyků a automatů I. Opava: Slezská univerzita v Opavě, 2017.
    recommended literature
  • LINZ, Peter. An introduction to formal languages and automata. Sixth edition. Burlington, MA: Jones, 2017. ISBN 978-1-284-07724-7. info
  • MEDUNA, Alexander and Petr ZEMEK. Regulated grammars and automata. New York: Springer, 2014. ISBN 978-1-4939-0368-9. info
  • Hopcroft, J. E., Motwani, R., Ullman, J. D. Introduction to Automata Theory, Languages and Computation. Upper Saddle River: Pearson Education Inc.,, 2003. info
  • ČERNÁ, I, M KŘETÍNSKÝ and A KUČERA. Automaty a formální jazyky I. Brno: FI MU, 2002. info
  • MEDUNA, A. Automata and Languages: Theory and Applications. Springer, London, 2000. info
Teaching methods
Interactive lecture
Lecture supplemented with a discussion
Assessment methods
Credit: two tests, attendance at seminars min. 75%. Exam: written and oral part
Language of instruction
Czech
Further Comments
Study Materials
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2012, Winter 2013, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2023.
  • Enrolment Statistics (recent)
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