This paper develops a system of explicit interfaces for object-oriented programming. The system provides the benefits of module interfaces found in languages like Ada and Modula-2 while preserving the expressiveness that gives untyped object-oriented languages like Smalltalk their flexibility. Interfaces are interpreted as polymorphic types to make the system sufficiently powerful. We use interfaces to analyze the properties of inheritance, and identify three distinct kinds of inheritance in object-oriented programming, corresponding to objects, classes, and interfaces, respectively. Object interfaces clarify the distinction between interface containment and inheritance and give insight into limitations caused by equating the notions of type and class in many typed object-oriented programming languages. Interfaces also have practical consequences for design, specification, and maintenance of object-oriented systems.

Object-oriented programming and abstract data type (ADT) theory have emerged from the same origin of computer science: the inability to deal efficiently with 'programming in the large' during the early seventies. Each of the approaches has led to significant practical and theoretical results resp. Nevertheless it is still unsatisfactory that up to now the mutual influence seems to be limited to more or less syntactical issues (e.g. the provision of packages, clusters, forms).