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Behavioral semantics abstracts from implementation details and allows to describe the behavior of software components in a representation-independent way. In this paper, we develop a formal behavioral semantics for class-based object-oriented languages with aliasing, subclassing, and dynamic dispatch. The code of an object-oriented component consists of a class and the classes used by it. A component instance is realized by a dynamically evolving set of objects with a clear boundary to the environment. The behavioral semantics is expressed in terms of the messages crossing the boundary. It is defined as an abstraction of an operational semantics based on an ownership-structured heap. We show how the semantics can be used to define substitutability in a program independent way.