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This paper raises the issue that visual representations generated by process mining techniques have mostly been evaluated from a precision and recall angle. We observe this to be a problem, because it hardly takes into account how effective these representations are for users and for which analysis tasks they are useful. We aim to rectify this research problem by developing a cognitive perspective for researching process mining. To this end, we build both on the CogniDia framework for effective cognitive processing of diagrams and an initial list of process mining analysis tasks.