1. From a single proposition p^(p⇒ q) Show that the q is the conclusion. 2. Construct a valid argument: Hypotheses: ~p ^ q, r⇒p, ~r⇒s, s⇒ t Conclusion: t

Question 17 Given a knowledge base (KB) that consists of two components, A and B, one can check if a statement C is a logical consequence of KB by formulating the compound statement "If (A and B) then C." Using this approach, determine in which of the following cases C is a logical consequence of the given KB. (В D KB={p⇒q, q^-p}, C = {p} KB=(pq, p}, C={p^q} KB=(pq,q), C={p^q} KB=(p⇒q, q⇒r}, C= {p⇒r} 6 Points

Please don't ptovide handwritten solution .....

and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition: (q^r)v(pr). Consider a "1" to be true 0 r 1 0 1 0 1 0 1 0 q^r (q^r) p r p➜¬r (q^r)v(pr)

I need the answer quickly please

7. Use all of the premises to determine a alid conclusion for the following argument. ~m Vt t → -d e Vg e → d ..?

Match each of the following compound propositions with the logically equivalent one. (pV¬q) P→→q (p → a) (p^(-(p^ q))) 1. ¬p/q 2. p V q 3. pVq 4. p -q