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Q3 Islanders on 5 mullyan 10 Points Every native of Smullyan Island is either a knight or a knave; knights always tell the truth and
Q3 Islanders on 5 mullyan 10 Points Every native of Smullyan Island is either a "knight" or a "knave;" knights always tell the truth and knaves always lie. You meet 3 natives, denoted A4,B,&C, The first 2 of them state: A:C is a knave, and B is a knight. B:C is a knave if and only if A is a knave. Create a truth table (by any technology you like) to answer these questons. Q3.1 Notation for what does A say? 1 Point A:C is a knave, and B is a knight. Let's define A as a Boolean (T/F) variable for the claim " A is a knight", or equivalently, "A speaks the truth." Then A is a claim " A is not a knight, " which on this island is equivalent to " A is a knave." Write a statement in logic notation for what A says. (Symbols to copy: ) Please select filels) Q3.2 What we learn from what B says. 1 Point B:C is a knave if and only if A is a knave. What an islander says may be true or false, but will match the islander's type. By combining what B is with the statement for what B says, create a logic expression that must be true. (Symbols to copy: Av )
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