Translate the following Propositional logic into English sentences p: I cheat g: I will get caught r:I write an exam s: I will fail Find (a.) (r^p) → (g ^s) (b.) (p^q ) →(r^ -p)

Q: ~ (pV q) V (~ p ^ q) and ~p

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Q: What is the output of the circuit corresponding to the Boolean expression (PAQ) V (~Q v R) when: P =…

A: See the detailed solution below.

Q: for logic Show that “(∃x)~Fx ≡ (∀x) Gx” implies “(∀x)Fx v (∀x)Gx”. Do this by arguing about the…

A: Given, ∃x~Fx≡∀xGx We need to prove that, ∃x~Fx≡∀xGx⇒∀xFx∨∀xGx.

Q: ‡n € Z+ : ) ((n 1)).

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Q: Select the logical expression that is equivalent to:-3xv(A(x) B(x,y)) -(A(x) B(x,y))…

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Q: Given compound statement is, (qVr) → [(p^q) v (q^r)] We have to find out corresponding truth table.…

A: Here in the truth table the working formulae are  or formulae    T v T = T v F = F v T = T    F v F…

Q: (1 point) Complete the truth table for the following statement: P 9 TT TF FT FF ~p ~q (p^~g) ^ (~p V…

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Q: why don't we use the existential instantiation(∃x) instead of the universal because it says "A car"…

A: A convertible car is anonymous, whose it is; which company; how many in the locality, city, country;…

Q: What is a correct expression of the statement in logic symbols: Any positive real number is a square…

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Q: v p) (d-A b) v (d-b-) - (b -d pq) v (-r--q) ^ (Gr V p) p) v (-p-q)

A: We have to show which is the tautology  The operation is said to be tautology if all values of…