Class-based languages express knowledge in terms of objects and classes, and have inspired a huge number of formalisms in computer science. Description logics form a family of both class-based and logic-based knowledge representation languages which allow for modeling an application domain in terms of objects, classes and relationships between classes, and for reasoning about them. This paper presents an overview of the research carried out in the last years in description logics, with the main goal of illustrating how these logics provide the foundations for class-based knowledge representation formalisms.