Bi2011 Theoretical Fundamentals of Computer Science

Faculty of Science
Autumn 2007 - for the purpose of the accreditation
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
RNDr. Jaroslav Ráček, Ph.D. (lecturer)
RNDr. Ing. Karel Kisza (seminar tutor)
RNDr. Matěj Štefaník (seminar tutor)
Guaranteed by
prof. RNDr. Jiří Hřebíček, CSc.
RECETOX – Faculty of Science
Contact Person: RNDr. Jaroslav Ráček, Ph.D.
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 aim of the course it to explain the basic concepts connected to information theory and it also provides theoretical equipment for understanding of facts, relations and methods of theoretical informatics. It focuses with special respect on field of logic, graphs, automatons and formal languages. The course expands student abstraction and ability to study chosen analysis models.
Syllabus
  • Number systems Propositional calculus, Boolean algebra Predicate calculus Basic concepts from information theory Eulerian and hamiltonian graphs Skeleton graph, searching for optimal route Finite automata Stack automata Languages and grammars, Chomsky hierarchy Relationship of finite automata and regular languages Relationship of stack automata and context-free languages Basic methods of syntactic analysis for context-free languages Linear bounded automata Turing machines
Literature
  • Fuchs, E.: Diskrétní matematika a Teorie množin pro učitele (CD-ROM). Masarykova univerzita, Brno, 2000.
  • Fuchs, E.: Diskrétní matematika pro učitele. Masarykova univerzita, Brno, 2001.
  • Kolář, J., Štěpánková, O., Chytil, M.: Logika, algebra, grafy. SNTL, Praha, 1989.
  • Molnár, L', Češka, M., Melichar, B.: Gramatiky a jazyky. Alfa, Bratislava, 1987.
  • Štěpán, J.: Formální logika. FIN, Olomouc, 1995.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2010 - only for the accreditation, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021.