Boolean algebra The algebra, developed by
Boole, of events,
unions,
intersections and
complementary events in a
sample space S. For any events
A,
B,
C the following algebraic laws hold:where
A′ and
B′ are the complementary events of
A and
B respectively, and φ is the empty set. The last line of the above comprises
de Morgan's laws. The penultimate line comprises the distributive laws and the ante-penultimate line comprises the associative laws.
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