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Explicitly, a Boolean algebra is the partial order on subsets defined by inclusion (Skiena 1990, p. 207), i.e., the Boolean algebra of a set is the set of subsets of that can be obtained by means of a finite number of the set operations union (OR), intersection (AND), and complementation (NOT) (Comtet 1974, p. 185).
A boolean expression is an expression that results in a boolean value, that is, in a value of either true or false. More complex boolean expressions can be built out of simpler expressions, using the following boolean operators: Parentheses can be used for grouping the parts of complex boolean expressions. For example: The println statement will be executed if wet and cold are both true, or if poor and hungry are both true. There are six arithmetic tests that can be used to create boolean values: Operator