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Commutative:
A + B = B + A | AB = BA
Associative:
A + (B + C) = (A + B) + C | A(BC) = (AB)C
Identity:
A + 0 = A | 0 + A = A | (A)1 = A | 1(A) = A
Null:
A + 1 = 1 | 1 + A = 1 | (A)0 = 0 | 0(A) = 0
Complement:
A + A’ = 1 | A’ + A = 1 | AA’ = 0 | A’A = 0
Idempotency:
A + A = A | AA = A
Involution:
(A’)’ = A
Distributive:
A(B + C) = AB + AC | A + BC = (A + B)(A + C)
Adjacency:
AB + AB’ = A | (A + B)(A + B’) = A
Simplification:
A + A’B = A + B | A(A’ + B) = AB