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This paper describes a transformational method applied to the core component of role-based access control (RBAC), to derive efficient implementations from a specification based on the ANSI standard for RBAC. The method is based on the idea of incrementally maintaining the result of expensive set operations, where a new method is described and used for systematically deriving incrementalization rules. We calculate precise complexities for three variants of efficient implementations as well asdoi:10.1145/1111542.1111562 dblp:conf/pepm/LiuWGRCZZ06 fatcat:c57ny24eufgzffbxfykacy25yi