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xoEPC - Jan Mendling

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72 3. Event-driven Process Chains (EPC)<br />

wait context status in order to reproduce it at its output arc, see (d). XOR- and OR-joins<br />

propagate a wait context if one of their input arcs has a wait context, see (e) and (f). Sim-<br />

ilar to the dead context propagation, the wait context is propagated until an end node is<br />

received or until an arc holds a token. Furthermore, the wait context is propagated by an<br />

AND-join where all of the inputs have a wait context.<br />

(a) w<br />

w<br />

(b)<br />

d<br />

w<br />

(c) w w<br />

d<br />

(e) w<br />

w<br />

w w<br />

d<br />

d<br />

d<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

(d) w<br />

Figure 3.13: Transition relation for wait context propagation<br />

Observations on Context Propagation<br />

The transition relations of context propagation permit the following observations:<br />

• Context changes terminate: It is intuitive that context propagation cannot run in an<br />

(f)<br />

infinite loop. It is easy to verify that the first two phases stop. The propagation of<br />

w<br />

w<br />

d<br />

s<br />

d<br />

d<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w<br />

w

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