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Web service interactions lie in the core of service oriented architecture. Due to the inherent autonomy, heterogeneity and continuous evolution of Web services, mediators are often needed to support service interactions to overcome possible mismatches existing among Web service based business processes. This paper introduces a space based process mediator which considers both control-flow and data-flow, presents possible mismatch patterns, and discusses how they can be automatically mediated. Our process mediator can address not only all mismatch patterns prescribed by existing process mediators, but also new mismatch patterns related to data-flow. In addition, our process mediator provides a uniform mechanism to perform runtime mediation without the need of a design-time work, and greatly facilitates Web service interactions.