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Aspects have emerged as a powerful tool in the design and development of systems, allowing for the encapsulation of program transformations. The dynamic semantics of aspects is typically specified by appealing to an underlying object-oriented language via a compiler transformation known as weaving. This treatment is unsatisfactory for several reasons. Firstly, this semantics violates basic modularity principles of object-oriented programming. Secondly, the converse translation from object-oriented programs into an aspect language has a simple canonical flavor. Taken together, these observations suggest that aspects are worthy of study as primitive computational abstractions in their own right. This paper describes an aspect calculus and its operational semantics.

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