Process mining can be applied to systems for the management of Workflow, Business Processes and, in general, Process-Aware Information to discover and analyse implicit processes. In recent times, semantic interoperability has also become of crucial importance in the area of business processes. In particular, interoperability enables the discovery of new knowledge about processes by exploiting automatic reasoning on information originating from external formal descriptions. To this end, the use of Semantic Web technologies could be one possible solution. Given the different paradigms underpinning the two fields of research, adaptations are needed to realise this solution. In this paper, a possible mapping between Inductive Logic Programming and Semantic Web rules is proposed to discover additional knowledge that can be integrated into the process mining techniques outcomes.