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(2) On a vacation in the Crazoes islands (recall that all inhabitants of C. are either (a) Using a to represent the proposition: A is a knight (and similarly b, c) and the (i) A is lying and B or C is truthful. (ii) A and B are lying or A and C are knights or knaves), you run into three inhabitants, A, B, C basic logic operations, to write the following in symbolic notation. truthful. (iii) At least two people are telling the truth. (iv) Exactly two are (b) Solve the following logic puzzles (as far as possible) by using truth tables. Who, (i) A: B or C is lying. B: C is lying. C: A and I are both truthful. telling the truth if anyone, tells the truth in each case? Explain your answers (ii) A: I am lying if Bis B: A is lying if I am (iii) A: If B is lying, then so is C B: If C is lying, then s() 1s A C: If A is lying, then so is B

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