In contemporary aspect-oriented languages, pointcuts are usually specified directly in terms of the structure of the source code. The definition of such low-level pointcuts requires aspect developers to have a profound understanding of the entire application's implementation and often leads to complex, fragile and hard-to-maintain pointcut definitions. To resolve these issues, we present an aspect-oriented programming system that features a logic-based pointcut language that is open such that it can be extended with application-specific pointcut predicates. These predicates define an application-specific model that serves as a contract that base program developers provide and aspect developers can depend upon. As a result, pointcuts can be ...