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Extra info for Business Process Management: 4th International Conference, BPM 2006, Vienna, Austria, September 5-7, 2006. Proceedings
The places in in (out) are called input (output ) places. The inner of an oWFN N can be obtained from N by removing all interface places, together with their adjacent arcs. x). Throughout this paper we only consider acyclic open workﬂow nets, i. e. nets where the transitive closure of F contains no cycles. As an example, consider the oWFN N1 depicted in Fig. 2. Fig. 2. An example oWFN N1 . The net has three input places, login, terms, and order, and two output places, conﬁrm and invoice. The initial marking m0 is [p0] which denotes one token on place p0.
22 N. Lohmann et al. Fig. 3. The IG for the net N1 of Fig. 2. The ﬁrst node of the IG represents the hypothesis that the controller of N1 has about N1 when neither messages have been sent nor received: the net must be in state [p0], which is a deadlock. Hence, the ﬁrst node contains the state [p0] only. However, sending a login message resolves the deadlock. login and a new (yet empty) node to the IG. login reaching the state [p1]. After successively ﬁring all enabled transitions the next reachable deadlock is [p2,p3].
In either case it is not guaranteed that the message will always be consumed, and therefore it should not be sent in the ﬁrst place. However, sending an abort is always correct. This simple example shows that even a small modiﬁcation of a process may result in an unintended interactional behavior. The eﬀect on the interactional behavior of a BPEL process is not obvious. Since this is not obvious even for small processes as in our shop example, it is even more challenging for BPEL processes of realistic size.