Sharing Synthesis of Petri Net Systems via Preserving Liveness

The sharing synthesis process which can model the shared resource problem is a focus in this paper.Liveness preservation in sharing synthesis process for Petri net systems is stressed studied and the system concurrent behavior relation i.e.concurrent language relation in sharing synthesis of Petri net systems is also discussed.The language relation formula is presented,and it then can be applied to judge the liveness for the synthesized system.Moreover,a criterion is introduced,which is necessary and sufficient for liveness.Finally,under given conditions,the liveness of global system can be determined by the same property of local systems.