The extreme growth of the World Wide Web in the last decade together with recent scandals related to theft or abusive use of personal information have left users unsatisfied withtheir digital identity providers and concerned about their online privacy. Self-SovereignIdentity (SSI) is a new identity management paradigm which gives back control over personal information to its rightful owner - the individual. However, adoption of SSI on theWeb is complicated by the high overhead costs for the service providers due to the lackinginteroperability of the various emerging SSI solutions. In this work, we propose an AccessControl System based on Self-Sovereign Identities with a semantically modelled AccessControl Logic. Our system relies on the Web Access Control authorization rules usedin the Solid project and extends them to additionally express requirements on VerifiableCredentials, i.e., digital credentials adhering to a standardized data model. Moreover,the system achieves interoperability across multiple DID Methods and types of VerifiableCredentials allowing for incremental extensibility of the supported SSI technologies bydesign. A Proof-of-Concept prototype is implemented and its performance as well as multiple system design choices are evaluated: The End-to-End latency of the authorizationprocess takes between 2-5 seconds depending on the used DID Methods and can theoretically be further optimized to 1.5-3 seconds. Evaluating the potential interoperabilityachieved by the system shows that multiple DID Methods and different types of VerifiableCredentials can be supported. Lastly, multiple approaches for modelling required Verifiable Credentials are compared and the suitability of the SHACL language for describingthe RDF graphs represented by the required Linked Data credentials is shown
