Safeness for Object Nets

Issue title: Concurrency Specification and Programming (CS&P)

Article type: Research Article

Authors: Köhler-Bußmeier, Michael | Heitmann, Frank

Affiliations: University of Hamburg, Department for Informatics, Vogt-Kölln-Straße 30, D-22527 Hamburg, Germany. [email protected]

Note: [] Address for correspondence: University of Hamburg, Department for Informatics, Vogt-Kölln-Straße 30, D-22527 Hamburg, Germany

Abstract: In this paper we discuss the concept of safeness for Elementary Object Nets (EOS). Object nets are Petri nets which have Petri nets as tokens – an approach known as the nets-within-nets paradigm. Object nets are called elementary if the net system has a two levelled structure. The well known p/t nets can be considered as a special case of EOS. For p/t nets the concept of safeness means that there is at most one token on each place. Since object nets have nested markings there are different possibilities to generalise this idea for EOS. In this paper we define different variants of EOS safeness, discuss their relationships, show that they all coincide for p/t-like EOS, and address the complexity of well known Petri net problems like reachability and liveness for this new class of object nets.

DOI: 10.3233/FI-2010-273

Journal: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 29-43, 2010