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Automata and Semi-Groups

General data

Course ID: 1000-2M05AG
Erasmus code / ISCED: 11.303 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0612) Database and network design and administration The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Automata and Semi-Groups
Name in Polish: Automaty a półgrupy
Organizational unit: Faculty of Mathematics, Informatics, and Mechanics
Course groups: (in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka
Elective courses for Computer Science
ECTS credit allocation (and other scores): (not available) Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: English
Type of course:

elective monographs

Short description:

Elements of the theory of semigroups with applications in the theory of formal languages. Languages defined using logical methods.

Full description:

1. Elements of semigroups. Connections with regular languages. Green's relations (2-3 lectures)

2. Simon Theorem on factorisation forests (1 lecture)

3. Schutzenberger theorem on star-free languages (1-2 lectures)

4. Temporal logics (2 lectures)

5. Infinite words (3 lectures)

6. Trees (3 lectures)

Bibliography:

1.Howard Straubing, Finite Automata, Formal Logic and Circuit Complexity, Birkahauser 1994

This course is not currently offered.
Course descriptions are protected by copyright.
Copyright by University of Warsaw.
Krakowskie Przedmieście 26/28
00-927 Warszawa
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