This paper has proposed novel aspect algebra for Graph -- semantic based Aspect Model called GAM. The GAM provides formal representation of Aspect Oriented System (AOS) concepts like join points, advices, Point Cut etc. using graph based semantics. On the other hand, the proposed algebra is comprised of set of operators defined on conceptual semantics of AOS. Those operators are used to conceptualize the different operational semantics of cross cutting concerns in Aspect Oriented System design and will play a crucial role on realization of weaving mechanism formally at model level.
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