Show that the set S of security classes (A, C) is a

Chapter 8, Problem 8.6.48

(choose chapter or problem)

Show that the set S of security classes (A, C) is a lattice, where A is a positive integer representing an authority class and C is a subset of a finite set of compartments, with (A1, C1) (A2, C2) ifand only if A1 ::'S A2 and C1 C2. [Hint: First show that (S, ) is a poset and then show that the least upper bound and greatest lower bound of (A1 , e1) and (A2, C2) are (max(A1 , A2), C1 U C2) and (min(A1 , A2), C1 n C2), respectively.]

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