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Passback flows are a kind of flows which appear as replays of operations in a workflow diagram. In order to consider consistency of a workflow diagram and to verify the consistency, it needs to deal with passback flows as special ones. In this paper, we formalize a passback flow in a workflow diagram with only graph theoretical properties of the workflow diagram, and we give an algorithm detecting and removing all passback flows in a workflow diagram. Furthermore, with the algorithm, we extend consistency properties of the structure and life cycles of evidences over an acyclic workflow diagram into those over a general workflow diagram. Our methodology enables us to improve quality of a workflow diagram with loops.

QUALITY IMPROVEMENT OF WORKFLOW DIAGRAMS BASED ON PASSBACK FLOW CONSISTENCY