The definition of Boolean algebra given in Unit 2 is

Chapter 3, Problem 3.39

(choose chapter or problem)

The definition of Boolean algebra given in Unit 2 is redundant (i.e., not all of the properties are independent). For example, show that the associative property a + (b + c) = (a + b) + c can be proved using the other properties of Boolean algebra. (Hint: Consider expanding [a + (b + c)][(a + b) + c] in two different ways. Be sure to not use the associative property.)

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