Course detail

Theory and Applications of Petri Nets

FIT-TADAcad. year: 2025/2026

Basic concepts of Petri nets, typical analysis problems, analysis methods, Petri net languages, restrictions and extensions of basic class of Petri nets, Coloured Petri nets, Hierarchical and Object oriented Petri nets, Petri nets tools, applications.

Language of instruction

Czech, English

Mode of study

Not applicable.

Guarantor

doc. Mgr. Adam Rogalewicz, Ph.D.

Department

Department of Intelligent Systems (UITS)

Entry knowledge

Basic knowledge of discrete mathematics concepts including graph theory and formal languages concepts,  basic concepts of algorithmic complexity, and principles of computer modelling.

Rules for evaluation and completion of the course

Short tests in lectures, state of essay elaboration.
Lectures and essay elaboration.

Aims

To understand the basic concepts and methods of system modelling using Petri nets, to adopt the Petri nets theory and applications in problems of system modelling, design, and verification. To gain practical experiences with representative Perti nets tools.
Theoretical and practical background for application of Petri nets and supporting tools in system modelling, design, and verification.
Abilities to apply and develop advanced information technologies based on suitable formal models, to propose and use such models and theories for automating the design, implementation, and verification of computer-based systems.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

http://www.fit.vutbr.cz/study/courses/TI1/public/ti.pdf
Češka M.: Petriho sítě, Akad.nakl. CERM, 1994
Jensen K.: Coloured Petri Nets, Springer Verlag 1993
Jensen K.,Kristensen L.M,: Coloured Petri nets: modelling and validation, Springer Verlag, 2009
Reisig W.: Petri Nets: An Introduction. Springer-Verlag, Berlin, Heidelberg 1985
Reisig W.: Petri Nets: An Introduction. Springer-Verlag, Berlin, Heidelberg 1985

Classification of course in study plans

  • Programme DIT Doctoral 0 year of study, summer semester, compulsory-optional
  • Programme DIT Doctoral 0 year of study, summer semester, compulsory-optional
  • Programme DIT-EN Doctoral 0 year of study, summer semester, compulsory-optional
  • Programme DIT-EN Doctoral 0 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. RNDr. Milan Češka, CSc.

Syllabus

  1. Introduction to Petri nets, basic notions.
  2. Condition/Event Petri nets.
  3. Complementation, case graphs, and applications in C/E systems analysis.
  4. Processes of C/E Petri nets, occurrences nets.
  5. Properties of C/E Petri nets, synchronic distances, facts.
  6. Place/Transition Petri nets, analysis problems.
  7. Analysis of P/T Petri nets by reachability tree.
  8. Invariants of P/T Petri nets.
  9. Petri nets languages.
  10. Marked graphs and Free choices Petri nets, Petri nets with inhibitors.
  11. Coloured Petri nets, CPN Design, applications.
  12. Analysis of Coloured Petri nets.
  13. Hierarchical Coloured Petri nets and Object oriented Petri nets.

Guided consultation in combined form of studies

26 hod., optionally

Teacher / Lecturer

doc. Mgr. Adam Rogalewicz, Ph.D.

Exercise in computer lab

8 hod., compulsory

Teacher / Lecturer

doc. Mgr. Adam Rogalewicz, Ph.D.

Syllabus

  1. Tools for C/E and P/T Petri nets.
  2. Tools for high-level Petri nets (CPN).
  3. Tools for object-oriented Petri nets.
  4. Tools for modeling and programming of control systems based on Petri nets.