Mean Quantitative Coverability in Stochastic Graph Transformation Systems

Many classical problems for Petri nets, in particular reachability and coverability, have obvious counterparts for graph transformation systems. Similarly, many problems for stochastic Petri nets, seen as a model for chemical reaction networks, are special cases of corresponding problems in graph transformation. For example, the evolution of the counts of chemical species in a test tube over time is a typical phenomenon from chemistry, which can faithfully be modelled and analysed using stochastic Petri nets. The corresponding mean quantitative coverability problem for stochastic graph transformation is simple to describe – yet hard to solve. This extended abstract summarises the fundamental ideas and challenges.