Question: (logic) You are given three labeled boxes: two are empty, onecontains money, but you don't know which one. The labels on boxes 1 and 2
(logic) You are given three labeled boxes: two are empty, onecontains money, but you don't know which one.
The labels on boxes 1 and 2 read, "This box is empty";
the label on box 3 reads "The money is in box 2".
The problem is that one label tells the truth, the other two lie.The question is: where is the money?
First, formalize the puzzle by representing the information inpropositional logic. Be sure to give the intended interpretation ofall symbols used.
Second, convert each sentence into clause form(CNF).
Third, represent the following possible queries (questions) inpropositional logic and for each query, show whether or not itlogically follows.
The money is in box 1?
The money is in box 2?
The money is in box 3?
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