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62 Terms

1
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Identity Laws
p ∧ T ≡ p
p ∨ F ≡ p
2
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Domination Laws
p ∨ T ≡ T
p ∧ F ≡ F
3
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Idempotent Laws
p ∨ p ≡ p
p ∧ p ≡ p
4
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Double Negation Law
¬(¬p) ≡ p
5
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Commutative Law
p v q = q v p
p ^ q = q ^ p
6
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Associative laws
(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)
(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)
7
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distributive laws
p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)
p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)
8
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DeMorgan's Law
¬(p ∧ q) ≡ ¬p ∨ ¬q
¬(p ∨ q) ≡ ¬p ∧ ¬q
9
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Absorption Laws
p ∨ (p ∧ q) ≡ p
p ∧ (p ∨ q) ≡ p
10
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Negation Laws
p ∨ ¬p ≡ T
p ∧ ¬p ≡ F
11
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Identity Laws: For all sets A
(a)A U 0 = A
(b)A inter 0 = 0
12
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Domination Laws: For all sets A
13
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Identity Law of Intersection
A ∩ U = A
14
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Identity Law of Union
A ∪ Ø = A
15
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Domination Law of Union
A ∪ U = U
16
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Domination Law of Intersection
A ∩ Ø = Ø
17
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Idempotent Law of Union
A ∪ A = A
18
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Idempotent Law of Intersection
A ∩ A = A
19
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Complementation Law
¬(¬A) = A
20
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Commutative Law of Union
A ∪ B = B ∪ A
21
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Commutative Law of Intersection
A ∩ B = B ∩ A
22
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Associative Law of Union
A ∪ (B ∪ C) = (A ∪ B) ∪ C
23
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Associative Law of Intersection
A ∩ (B ∩ C) = (A ∩ B) ∩ C
24
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Distribution Law of Union
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
25
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Distribution Law of Intersection
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
26
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De Morgan's Law of Intersection
¬(A ∩ B) = ¬(A) ∪ ¬(B)
27
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De Morgan's Law of Union
¬(A ∪ B) = ¬(A) ∩ ¬(B)
28
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Absorption Law of Union
A ∪ (A ∩ B) = A
29
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Absorption Law of Intersection
A ∩ (A ∪ B) = A
30
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Complement Law of Union
A ∪ ¬(A) = U
31
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Complement Law of Intersection
A ∩ ¬(A) = Ø
32
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Identity Law of Intersection
A ∩ U = A
33
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Identity Law of Union
A ∪ Ø = A
34
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Domination Law of Union
A ∪ U = U
35
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Domination Law of Intersection
A ∩ Ø = Ø
36
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Idempotent Law of Union
A ∪ A = A
37
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Idempotent Law of Intersection
A ∩ A = A
38
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Complementation Law
¬(¬A) = A
39
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Commutative Law of Union
A ∪ B = B ∪ A
40
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Commutative Law of Intersection
A ∩ B = B ∩ A
41
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Associative Law of Union
A ∪ (B ∪ C) = (A ∪ B) ∪ C
42
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Associative Law of Intersection
A ∩ (B ∩ C) = (A ∩ B) ∩ C
43
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Distribution Law of Union
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
44
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Distribution Law of Intersection
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
45
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De Morgan's Law of Intersection
¬(A ∩ B) = ¬(A) ∪ ¬(B)
46
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De Morgan's Law of Union
¬(A ∪ B) = ¬(A) ∩ ¬(B)
47
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Absorption Law of Union
A ∪ (A ∩ B) = A
48
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Absorption Law of Intersection
A ∩ (A ∪ B) = A
49
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Complement Law of Union
A ∪ ¬(A) = U
50
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Complement Law of Intersection
A ∩ ¬(A) = Ø
51
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Identity Laws
p ∧ T ≡ p
p ∨ F ≡ p
52
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Domination Laws
p ∨ T ≡ T
p ∧ F ≡ F
53
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Idempotent Laws
p ∨ p ≡ p
p ∧ p ≡ p
54
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Double Negation Law
¬(¬p) ≡ p
55
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Commutative Law
p v q = q v p
p ^ q = q ^ p
56
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Associative laws
(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)
(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)
57
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distributive laws
p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)
p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)
58
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DeMorgan's Law
¬(p ∧ q) ≡ ¬p ∨ ¬q
¬(p ∨ q) ≡ ¬p ∧ ¬q
59
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Absorption Laws
p ∨ (p ∧ q) ≡ p
p ∧ (p ∨ q) ≡ p
60
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Negation Laws
p ∨ ¬p ≡ T
p ∧ ¬p ≡ F
61
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Identity Laws: For all sets A
(a)A U 0 = A
(b)A inter 0 = 0
62
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Domination Laws: For all sets A

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