Aspect-orientation has gained a lot of attention from researchers. This concept emerged as an appropriate paradigm to improve the modularization of crosscutting concerns, such as security, logging, and synchronization. In this paper, we provide formal semantics for aspect matching and weaving for a core language based on λ-calculus. We adopt the pointcut-advice model, one of the fundamental and most popular AOP mechanisms. We consider basic pointcuts, i.e., get, set, call, and exec pointcuts. The semantics is based on a defunctionalized continuation-passing style since the latter provides a concise, accurate, and elegant description of AOP mechanisms.