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Worksheet Written Homework 1

Write out a full solution to the following problem. I suggest doing this by hand (that is easier for the truth table). You solution should include an explanation of what you did, what the correct answer is, and how you know the answer is correct. Submit your solution (as a pdf) on Canvas.

1.

Next you come upon three trolls, helpfully wearing name tags. They say:
Pat
If either Quinn or I are knights, then so is Ryan.
Quinn
Ryan is a knight, and if Pat is a knight, then so am I.
Ryan
Quinn is a knave, but Pat and I share the same persuasion.
Create a truth table that includes all three statements. Then use the truth table to determine the persuasion of each troll. Justify your answer (i.e., say how you used the truth table to determine the answer).