Checking the Inconsistent Data in Concurrent Systems by Petri Nets with Data Operations

The general Petri nets are not suitable to model the data operations of concurrent read and coverable write. Therefore, Petri net with data operations (PN-DO) is defined, which extends contextual nets with write arcs and some other components. Its execution semantics are defined, and a new method is proposed to construct its reachability graph that is of a smaller scale than traditional reachability graph. Based on this kind of reachability graph, we propose a method to check the errors of inconsistent data and missing data. Meanwhile, case studies are given to illustrate the effectiveness of our methods.