Research about ontology access, processing, and usage paves the way for realizing important tasks in future applications requiring well-understood formal representation formalisms as well as efficient and industrial-strength implementations. In this report, we summarize the state of the art for most important application tasks of this kind that use ontologies as their backbone. In addition to a formalization of the tasks for some of the most important application scenarios, we also report on recent theoretical and practical advances for their realization that have been achieved as part of our work in the TONES project.