IA023 Petri Nets

Faculty of Informatics
Spring 2006
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Antonín Kučera, Ph.D. (lecturer)
doc. RNDr. Tomáš Brázdil, Ph.D. (alternate examiner)
doc. Mgr. Jan Obdržálek, PhD. (alternate examiner)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Antonín Kučera, Ph.D.
Timetable
Wed 14:00–15:50 B204
Prerequisites
! I023 Petri Nets
Students should be familiar with basic notions of computability, complexity, and automata theory.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
An introduction to Petri nets; it covers the classical results (about boundedness, liveness, reachability, etc.) as well as the `modern' ones (undecidability of equivalence-checking and model-checking, etc.)
Syllabus
  • The theory of Petri nets provides a formal basis for modelling, design, simulation and analysis of complex distributed (concurrent, parallel) systems, which found its way to many applications in the area of computer software, communication protocols, flexible manufacturing systems, software engineering, etc.
  • Principles of modelling with Petri nets.
  • Classical results for place/transition nets. Boundedness, coverability, Karp-Miler tree, weak Petri computer; reachability and liveness.
  • Undecidability of equivalence-checking and model-checking with place/transition nets.
  • S-systems, T-systems. Reachability, liveness, S-invariants, T-invariants.
  • Free-choice Petri nets. Liveness, Commoner's theorem.
Literature
  • REISIG, Wolfgang. Elements of distributed algorithms : modeling and analysis with Petri Nets. Berlin: Springer, 1998, xi, 302. ISBN 3540627529. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2006, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2006/IA023