We motivate and study the refinements of places and transitions in Petri nets. A refinement of Petri nets is a transformation by replacing a simple entity of a system with its functional and operational details. In general, the refined system may become incorrect even if the original system is correct because some of its original properties may have been lost or some undesired properties may have been created. For systems specified in ordinary Petri nets, this paper proposes the conditions imposed on two types of refinements under which the following properties will be preserved: liveness, boundedness, reversibility, and fairness. Such results release the designer's burden for having to provide different methods for individual properties.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.