# Answer the following questions with respect to the unary PCP instance: (a) Using Jove, solve the…

Answer the following questions with respect to the unary PCP instance: (a) Using Jove, solve the following unary PCP instance (i.e., where the alphabet is a singleton, namely {0}): [(000,00), (0,0000), (0000,000), (0,0000), (000000,0)] (b) Argue that the unary PCP problem  PCP over a singleton alphabet (|S| = 1)  is decidable. Do it in two stages: i. Suppose for all tiles Ti in the unary PCP instance we have len(Ti[0]) len(Ti[1]). Then what can you say about the unary PCP instances solutions? ii. Suppose the above condition does not hold; that is, there are two distinct tiles Tj and Tk in

»Answer the following questions with respect to the unary PCP instance: (a) Using Jove, solve the following unary PCP instance (i.e., where the alphabet is a singleton, namely {0}): [(000,00), (0,0000), (0000,000), (0,0000), (000000,0)] (b) Argue that the unary PCP problem  PCP over a singleton alphabet (|S| = 1)  is decidable. Do it in two stages: i. Suppose for all tiles Ti in the unary PCP instance we have len(Ti[0]) len(Ti[1]). Then what can you say about the unary PCP instances solutions? ii. Suppose the above condition does not hold; that is, there are two distinct tiles Tj and Tk in the instance with len(Tj[0]) len(Tk[1]). Then what can you say about the unary PCP instances solutions?

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