Ifigenia:Lecture courses/Generalized nets

Curriculum

 * 1) Definitions and basic properties of Petri nets and generalized nets  (Formal definition of a transition. Formal definition of a GN. Algorithm for transition functioning. Algorithm for generalized net functioning. Index matrix)
 * 2) Reduced generalized nets
 * 3) Extensions of GN
 * 4) Algebraic aspect of the GN theory (Operations and relations)
 * 5) Topological aspect of GN theory
 * 6) Logical aspect of GN theory (Modal operators over generalized nets)
 * 7) Operator aspect of GN theory. Part 1 (Global operators, Local operators, Reducing operators)
 * 8) Operator aspect of GN theory. Part 2 (Extending operators, Hierarchical operators, Dynamical operators)
 * 9) Self-modifying GN
 * 10) Methodology for construction of generalized nets
 * 11) Applications of GN in artificial intelligence
 * 12) Applications of GN in biology and medicine
 * 13) Applications of GN in transport and industry
 * 14) GN in systems theory
 * 15) GN as a tool for modelling of real processes

Examination
Students may choose to: There is a third option for those who are interested in software development of the GN simulator package.
 * either prepare a research paper, for instance developing their own GN model of a real process, or working on an open problem from the theory of GNs,
 * or take a regular examination by writing on a theme from the curriculum above.


 * Open problems

Literature

 * Krassimir Atanassov, On Generalized Nets Theory, "Prof. Marin Drinov" Academic Publishing House
 * Publications on generalized nets