Logical Equivalence Laws Flashcards by Kirsty Rotter | Brainscape

Q

Communicative laws

A

p Λ q Ξ q Λ p

p V q Ξ q V p

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Q

Associative laws

A

(p Λ q) Λ r Ξ p Λ (q Λ r)

p V q) V r Ξ p V (q V r

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Q

Distributive laws

A

p Λ (q V r) Ξ (p Λ q) V (p Λ r)

p V (q Λ r) Ξ (p V q) Λ (p V r)

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Q

Identity laws

A

p Λ t Ξ p

p V c Ξ p

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Q

Negation laws

A

p V ~p Ξ t

P Λ ~p Ξ c

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Q

Double negative laws

A

~(~p) Ξ p

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Q

Idempotent laws

A

p Λ p Ξ p

p V p Ξ p

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Q

Universal bound laws

A

p V t Ξ t

p Λ c Ξ c

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Q

De Morgan’s laws

A

~(p Λ q) Ξ ~p V ~q

~(p V q) Ξ ~p Λ ~q

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Q

Absorption laws

A

p V (p Λ q) Ξ p

p Λ (p V q) Ξ p

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Q

Negation of t and c

A

~t Ξ c

~c Ξ t

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