Pointer analysis is a critical problem in optimizing compiler, parallelizing compiler, software engineering and most recently, hardware synthesis. While recent efforts have suggested the symbolic method, which uses Bryant's Binary Decision Diagram as an alternative to capture the point-to relation, no speed advantage has been demonstrated for context-insensitive analysis, and results for context-sensitive analysis are only preliminary.We refine the concept of symbolic transfer function proposed earlier and establish a common framework for both context-insensitive and context-sensitive pointer analysis. With this framework, the transfer function of a procedure can abstract away the impact of its callers and callees, and represent its point-to information completely, compactly and canonically. In addition, we propose a symbolic representation of the invocation graph, which can otherwise be exponentially large. In contrast to the classical frameworks where context-sensitive point-to information of a procedure has to be obtained by the application of its transfer function exponentially many times, our method can obtain point-to information of all contexts in a single application. Our experimental evaluation on a wide range of C benchmarks indicates that our context-sensitive pointer analysis can be made almost as fast as its context-insensitive counterpart.