Main content

German original

State-based Systems
(dt. Zustandsbasierte Systeme)

Level, degree of commitment in original study programme Advanced module, compulsory elective module
Forms of teaching and learning,
workload
Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 180 h private study)
Credit points,
formal requirements
9 CP
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises as well as at least 2 presentations of the tasks.
Examination type: Oral or written examination
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Computer Sciences.
Original study programme M.Sc. Informatik / Vertiefungsbereich Informatik
Duration,
frequency
One semester,
Alle 3-4 Semester
Person in charge of the module's outline Prof. Dr. H.-Peter Gumm

Contents

  • Examples of state-based systems
  • Streams, automata (Moore, Mealy, deterministic, non-deterministic), transition systems, objects, probabilistic systems, neighborhood systems
  • Description of state-based systems as co-algebras
  • Category theoretical abstractions
  • structure theory
  • bisimulations and behavioural equivalence
  • co-recursive definitions, co-inductive verification
  • terminal and co-free systems.
  • modal logics
  • completeness theorem

Qualification Goals

  • development of a basic mathematical theory for the description of state-based systems,
  • understanding category-theoretical methods and conceptual formations and applications in computer science,
  • scientific skills (recognition, formulation, problem solving, abstraction),
  • training of oral communication skills in the labs by practicing free speech and discussion in front of an audience.

Prerequisites

None. The competences taught in the following modules are recommended: Theoretical Computer Science, Logic.


Recommended Reading

  • H. P. Gumm: Zustandsbasierte Systeme in: Th.Ihringer: Allgemeine Algebra. Heldermann Verlag, 2003.
  • J.J.M.M. Rutten: Universal Coalgebra: a Theory of Systems. TCS 249,2000.
  • H. P. Gumm: Universal Coalgebra. Skriptum, 2015



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2019/20. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.