Question 3: Models of Computation (a) Are these propositional formulas satisfiable? (1) (pVg) ^ (r Vs) ^ (ii) (pv q) ^ (pV¬q) ^¬p (PV¬r)^(-qV¬s)^(PV¬s) 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 A-calculus with arithmetic: (Ax.x+3)((Ay.y + 7)4)

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Question 3: Models of Computation
(a) Are these propositional formulas satisfiable?
(i) (pv q) ^ (rvs) A (PV¬r) ^ (qv¬s) ^ (PV¬s)
(ii) (pv q) ^ (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 A-calculus with arithmetic:
(Ax.x+3)((Ay.y + 7)4)
ARNING
Transcribed Image Text:Question 3: Models of Computation (a) Are these propositional formulas satisfiable? (i) (pv q) ^ (rvs) A (PV¬r) ^ (qv¬s) ^ (PV¬s) (ii) (pv q) ^ (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 A-calculus with arithmetic: (Ax.x+3)((Ay.y + 7)4) ARNING
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