UIAI019 Fundamentals of Theoretical Computer Science II

Faculty of Philosophy and Science in Opava
Winter 2023
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
Timetable
Wed 14:45–16:20 B2
  • Timetable of Seminar Groups:
UIAI019/A: Wed 18:05–19:40 B4, R. Poláková
Prerequisites
The topics require some preliminary knowledge, so it is necessary for each student to familiarize themselves with the content of the course Fundamentals of TCS I.
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
Basic theorems of the classical formal language theory. We put emphasis to basic algorithms and proof techniques.
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. Revision - finite automata and regular grammars. Language regularity criteria.
  • 2. Transformation of context-free grammars. Context-free criteria.
  • 3. Pushdown automata, variants, types of acceptance.
  • 4. Closing properties of context-free languages.
  • 5. Deterministic context-free languages.
  • 6. Grammars of type 0, Turing machines.
  • 7. Grammars of type 1, Linear bounded automata.
  • 8. Grammars and grammar systems not corresponding to the Chomsky hierarchy.
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 II. Opava: Slezská univerzita v Opavě, 2017.
    recommended literature
  • MEDUNA, A. Automata and Languages: Theory and Applications. Springer, London, 2000. info
  • ČERNÁ, I, M KŘETÍNSKÝ and A KUČERA. Automaty a formální jazyky I. Brno: FI MU, 2002. info
  • DEMLOVÁ, M. - KOUBEK, V. Algebraická teorie automatů. Praha: SNTL, 1990. info
  • CHYTIL, M. Automaty a gramatiky. Praha: SNTL, 1984. info
  • GRUSKA, J. Foundations of Computing. London: International Thomson Computer Press, 1997. info
  • MOLNÁR, Ľ. ČEŠKA, M. , MELICHAR, B. Gramatiky a jazyky. Bratislava: ALFA, 1987. info
  • MEDUNA, A. MEDUNA, A. Gramatiky, automaty a kompilátory. Brno: VUT, 1987. info
  • Hopcroft, J. E., Motwani, R., Ullman, J. D. Introduction to Automata Theory, Languages and Computation. Upper Saddle River: Pearson Education Inc.,, 2003. info
Teaching methods
Interactive lecture
Lecture supplemented with a discussion
Tutorials
Assessment methods
Credit: two tests, attendance at seminars min. 75%. Exam: written and oral part, list of possible questions on the teacher's website
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 Summer 2013, Summer 2014, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022.
  • Enrolment Statistics (recent)
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