Advances in computer technologies facilitate the implementation of inter-organizational business processes. At the same time, managing the security of these processes is increasingly difficult. Compliance with high level specifcations, like normatives and pre-agreed protocols, rules and requirements, is difficult to validate. Here we discuss how Conformance Checking, a specific area of Process Mining, can be adapted for this purpose. Its role is to verify if an execution of a business process satisfies specifications represented by formal models (e.g. Petri Nets, Transition Systems, structures based on partial orders, etc). In the process mining literature, few efforts have been dedicated to online checking of business processes and choreog...