As the needs for interconnections of processes in different companies or departments are so increasing and companies try to realize business processes across organizational boundaries, the correctness issues of inter-organizational workflow definition is getting more important. In this paper, we develop community process definition language(CPDL) for inter-organizational workflow specification. It is devised to analyze correctness of inter-organizational workflow definition and especially it is used to detect latent communication deadlocks. A new communication deadlock detection technique in the context of interorganizational workflow definition is developed on CPDL using the set based constraint system. Any inter-organizational workflow languages that can be translated into CPDL can detect its communication deadlock using the technique of this paper.