Automata on infinite structures
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Teaching
Details
Faculty Faculty of Science and Medicine Domain Computer Science Code UE-SIN.08502 Languages English Type of lesson Lecture
Level Master Semester AS-2022 Schedules and rooms
Summary schedule Wednesday 09:15 - 12:00, Hebdomadaire (Autumn semester)
Struct. of the schedule 3h par semaine durant 14 semaines Contact's hours 42 Teaching
Responsibles - Ultes-Nitsche Ulrich
Teachers - Ultes-Nitsche Ulrich
Assistants - Stammet Christophe
Description In this course unit, we deal with a fraction of automata theory that is applied when it comes to representing behaviours of reactive systems (OS, communications protocols, control systems, etc.). The common abstraction of the indefinite running time of such systems is the assumption that they run forever, leading to automata models operating on infinite sequences or trees. We will explore different equivalent models of automata on infinite words, namely Büchi, Muller, and Rabin Automata. We will learn how to manipulate them algorithmically, and explore their relation to logic, in particular to the monadic second-order logic of one successor. Finally, we will look at what changes, when these automata are applied to infinite trees rather than infinite words. Training objectives After the completion of this course unit, the student will:
- know how to manipulate automata algorithmically
- be able to relate set operations to operations on the automaton level
- understand the limited expressiveness of finite-state automata
- see the link between logic and automata
- know how to exploit automata and logic to express properties of systemsComments MSc-CS BENEFRI - (Code Ue: 43024 / Track: T4) The exact date and time of this course as well as the complete course list can be found at http://mcs.unibnf.ch/.
Course and exam registration on ACADEMIA (not myunifr.ch). Please follow the instructions on https://mcs.unibnf.ch/organization/
Softskills No Off field No BeNeFri Yes Mobility Yes UniPop No -
Dates and rooms
Date Hour Type of lesson Place 21.09.2022 09:15 - 12:00 Cours PER 21, Room F130 28.09.2022 09:15 - 12:00 Cours PER 21, Room F130 05.10.2022 09:15 - 12:00 Cours PER 21, Room F130 12.10.2022 09:15 - 12:00 Cours PER 21, Room F130 19.10.2022 09:15 - 12:00 Cours PER 21, Room F130 26.10.2022 09:15 - 12:00 Cours PER 21, Room F130 02.11.2022 09:15 - 12:00 Cours PER 21, Room F130 09.11.2022 09:15 - 12:00 Cours PER 21, Room F130 16.11.2022 09:15 - 12:00 Cours PER 21, Room F130 23.11.2022 09:15 - 12:00 Cours PER 21, Room F130 30.11.2022 09:15 - 12:00 Cours PER 21, Room F130 07.12.2022 09:15 - 12:00 Cours PER 21, Room F130 14.12.2022 09:15 - 12:00 Cours PER 21, Room F130 21.12.2022 09:15 - 12:00 Cours PER 21, Room F130 -
Assessments methods
Written exam
Assessments methods By rating -
Assignment
Valid for the following curricula: Additional Courses in Sciences
Version: ens_compl_sciences
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