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)
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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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9bb2aa7-6e73-4e32-90d5-2ed5175a3685%2F3e67c135-d841-43e1-9cf3-2bd4229a578f%2Fgev4ef_processed.jpeg&w=3840&q=75)
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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