Future developments for enterprise process management must evolve from the current systems based on rigid, workflow based processes into context-aware, agile dynamic structures, which exploit local adaptability. In this idea paper, we define two forms of process agility. To enable these forms of agility, we present our vision of context-aware business process management based on declarative modeling combined with innovative context management and formal concept analysis. We finally describe the foundations and introduce the architecture of a context-aware agile business process engine (CAPE).