This paper proposes two kinds of control-path oriented workflow knowledge analysis approaches which will be applied to a workflow intelligence and quality improvement framework aiming at the high degree of the workflow traceability and rediscover-ability. The framework needs two kinds of algorithms-One is for generating the total sequences of the control-paths from a workflow model, and the other is for rediscovering the runtime enactment history of each control-path out of the total sequences from the corresponding workflow's execution logs. The proposed approaches have something to do with the former, and each of them include a set of detailed algorithms for analyzing the total sequences of the control-path perspective of a workflow model. Eventually, the analyzed results from the approaches will be effectively used for some rediscovery approaches to rediscover control-path oriented workflow intelligence from the runtime enactment history, which is called workflow events log. Based upon those control-path oriented workflow intelligences, it will be realized for a workflow model not only to be gradually refined, but also to be finally revealed to maximize its quality by repeatedly redesigning, reengineering and/or refining during its whole life-long time period.