AULA 01 Flashcards

1
Q

Quais as equivalências lógicas da condicional?

A

p→q ≡ ~q→~p
p→q ≡ ~p∨q

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2
Q

Qual a equivalência lógica da disjunção inclusiva?

A

p∨q ≡ ~p→q

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3
Q

Quais as equivalências lógicas da bicondicional?

A

p↔q ≡ (p→q)∧(q→p)
p↔q ≡ (~p)↔(~q)

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4
Q

Qual a negação da disjunção inclusiva?

A

~ (p∨q) ≡ ~p∧~q

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5
Q

Quais as negações da conjunção?

A

~ (p∧q) ≡ ~p∨~q
~(p∧q) ≡ p→~q
~(p∧q) ≡ q →~p

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6
Q

Qual a negação da condicional?

A

~ (p→q) ≡ p∧~q

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7
Q

Qual a negação da disjunção exclusiva?

A

~(p⊻q) ≡ p↔q

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8
Q

Quais as negações da bicondicional?

A

~(p↔q) ≡ p∨q
~(p↔q) ≡ (~ p)⊻q
~(p↔q) ≡ p↔(~ q)
~(p↔q) ≡ ( p∧~q) ∨ (q∧~p)

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9
Q

(p→r)∧(q→r) é equivalente a:

A

(p→r)∧(q→r) ≡ (p∨q)→r

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10
Q

(p→q)∧(p→r) é equivalente a:

A

(p→q)∧(p→r) ≡ p→(q∧r)

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11
Q

Todos os conectivos comutam, exceto:

A

o condicional

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