Prospositional Equivenlances Flashcards

1
Q

State the identity rule

A

p ∧ T ≡ p

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2
Q

State the domination rule

A

p ∨ T ≡ T

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3
Q

State the idempotent rule

A

p ∨ p ≡ p

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4
Q

State the double neg rule

A

¬(¬p) ≡ p

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5
Q

State the negative rule

A

p ∨ ¬p ≡ T

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6
Q

State the commutative rule

A

p ∨ q ≡ q ∨ p

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7
Q

State the associative rule

A

(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)

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8
Q

State the distributive rule

A

p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)

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9
Q

State the absorbtion rule

A

p ∨ (p ∧ q) ≡ p

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10
Q

State de morgans law

A

¬(p ∧ q) ≡ ¬p ∨ ¬q

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