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All questions have equal weight. Please answer each question in approximately 1 page, single-spaced. 2 pages is an absolute upper limit. Your answer should be a coherently written essay that flows and reads similar to a technical paper. Your solution should be prepared in soft copy, although diagrams may be hand-drawn. Please submit hard copy on the due date in class. Make sure you retain a copy. If you cannot make it to class on the due date submit via email to email@example.com or fax to 253 563 3509 before the class.
1. Discuss the concept of administrative scope as it applies (a) to a rooted tree hierarchy (the root being the senior-most role) and (b) to an inverted rooted tree hierarchy (the root being the junior-most role).
2. Discuss the notion of a dual concept to administrative scope. Administrative scope is defined in terms of junior roles. The dual concept (call it alpha-scope) will be defined in terms of senior roles. Would it have any relevance to RBAC administration.
3. Prove or disprove (by giving counter-examples) the following propositions.
a. If a hierarchy has a single maximal (senior-most) role, the administrative scope of that role includes all other roles.
b. If a hierarchy has a single minimal (junior-most) role, that role will be in the administrative scope of all other roles.
4. For the RRA97 model prove or give counterexamples for the following propositions:
a. An authority range is always a create range?
b. If x is an immediate child of y then (x,y) is a create range?
c. If x is an immediate child of y then (x,y) can always be introduced into can-modify as an authority range that is guaranteed to be encapsulated?