Automata and Grammars
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| BI-AAG | Z,ZK | 6 | 2P+2C | Czech |
- Lecturer:
- Jan Janoušek, Jan Holub (guarantor)
- Tutor:
- Tomáš Pecka, Štěpán Plachý, Jan Pokorný, Radomír Polách, Martin Svoboda, Eliška Šestáková, Jan Trávníček
- Supervisor:
- Department of Theoretical Computer Science
- Synopsis:
-
Students are introduced to basic theoretical and
implementation principles of the following topics:
construction, use and mutual transformations of finite
automata, regular expressions and regular grammars,
translation finite automata, construction and use of
pushdown automata, hierarchy of formal languages,
Relationships between formal languages and automata.
Knowledge acquired through the module is applicable in
designs of algorithms for searching in text, data
compression, simple parsing and translation, and design of
digital circuits.
- Requirements:
-
Knowledge of basic data structures and computer programming.
- Syllabus of lectures:
-
1. Motivation to study formal languages. Basic notions (language, alphabet, grammar, automaton), Chomsky hierarchy.
2. Nondeterministic and deterministic finite automata (NFA, DFA), NFA with epsilon transitions.
3. Operations on automata (transformation to NFA without epsilon transitions, to DFA, minimization), intersection, union.
4. Programming implementations of DFA and NFA, circuit implementations.
5. Adding translation, Mealey, Moore, conversions.
6. Operations on regular grammars, conversions to FA.
7. Regular expressions, regular expression conversions, finite automata and regular grammars, Kleene theorem.
8. Principles of use of regular expressions in UNIX (grep, egrep, perl, PHP, ...).
9. Finite automaton as a lexical analyzer, lex/flex generators.
10. Properties of regular languages (pumping lemma, Nerode theorem).
11. Context-free languages, pushdown automaton.
12. Parsing of context-free languages (nondeterministic versus deterministic).
13. Context-sensitive and recursively enumerable languages, Turing machine. Classes P, NP, NPC, NPH
- Syllabus of tutorials:
-
1. Implementation of FA.
2. Examples of formal languages. Intuitive considerations of grammars for given languages. Estimation of the classification of a given language in Chomsky hierarchy.
3. Intuitive creation of finite automata (DFA, NFA, with epsilon transitions) for a given langauage.
4. Transformations and compositions of FA.
5. FA with output function and its implementation.
6. Conversions of grammars to FA and vice versa.
7. Considerations, modifications and transformations of regular expressions.
8. Use of regular expressions for text processing tasks (e.g. sh, grep, sed, perl).
9. Creation and implementation of lexical analyzers.
10. Classification of languages.
11. Examples of context-free languages, creation of pushdown automata.
12. Examples of deterministic parsing of context-free languages (e.g. LL, yacc, bison).
13. Examples of context-sensitive and recursively enumerable languages, creation of grammars, creation of Turing machines.
- Study Objective:
-
The module introduces students to finite automata, regular expressions, grammars, and translation finite automata, with an emphasis on their practical use. Furthermore, the module introduces students to the class of context-free languages, basic use of pushdown automata, as well as the classification of languages.
- Study materials:
-
1. Aho, A. V., Lam, M. S., Sethi, R., Ullman, J. D. „Compilers: Principles, Techniques, and Tools“ (2nd Edition). Addison Wesley, 2007. ISBN 0321486811.
2. Kozen, D. C. „Automata and Computability“. Springer, 1997. ISBN 0387949070.
3. Melichar, B., Holub, J., Mužátko, P. „Languages and Translations“. Praha: Publishing House of CTU, 1997. ISBN 80-01-01692-7.
- Note:
- Further information:
- https://courses.fit.cvut.cz/BI-AAG/
- Time-table for winter semester 2020/2021:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri - Time-table for summer semester 2020/2021:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Bc. Programme Informatics, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bc. Branch Security and Information Technology, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bc. Branch Computer Science, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bc. Branch Computer Engineering, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bachelor Branch Information Systems and Management, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bachelor Branch Knowledge Engineering, in Czech, Version 2015, 2016 and 2017 (compulsory course in the program)
- Bachelor Branch WSI, Specialization Software Engineering, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bachelor Branch, Specialization Web Engineering, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bachelor Branch WSI, Specialization Computer Grafics, in Czech, Version 2015 to 2020 (compulsory course in the program)
- Bachelor Branch Knowledge Engineering, in Czech, Version 2018 to 2020 (compulsory course in the program)