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Computer Security: Art and Science by Matt Bishop

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Chapter 30. Lattices

A lattice is a mathematical construction built on the notion of a group. First, we review some basic terms. Then we discuss lattices.

Basics

For a set S, a relation R is any subset of S × S. For convenience, if (a, b) ∊ R, we write aRb.

The following definitions describe properties of relations.

  • Definition 30–1. A relation R defined over a set S is reflexive if aRa for all aS.

  • Definition 30–2. A relation R defined over a set S is antisymmetric if aRb and bRa ...

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