Question 3: Models of Computation (a) Are these propositional formulas satisfiable? (i) (pv q) ^ (rVs) ^ (ii) (pvq) ^ (pV¬q) Ap Justify your answers. (pV¬r)^(-qV¬s)^(PVS)

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Chapter2: Second-order Linear Odes
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Question 3: Models of Computation
(a) Are these propositional formulas satisfiable?
(i) (pvq) ^ (rvs) A (PV¬r)^(-qV¬s) A (PV-s)
(ii) (pvq) ^ (pV¬q) ^ ¬p
Justify your answers.
(b) If P = NP, then such satisfiability questions can be decided in polynomial time.
Briefly explain why.
(c) Draw the reduction graph of the following term in X-calculus with arithmetic:
(xx.x + 3) ((Ay.y + 7)4)
TA
Transcribed Image Text:Question 3: Models of Computation (a) Are these propositional formulas satisfiable? (i) (pvq) ^ (rvs) A (PV¬r)^(-qV¬s) A (PV-s) (ii) (pvq) ^ (pV¬q) ^ ¬p Justify your answers. (b) If P = NP, then such satisfiability questions can be decided in polynomial time. Briefly explain why. (c) Draw the reduction graph of the following term in X-calculus with arithmetic: (xx.x + 3) ((Ay.y + 7)4) TA
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