Propositional Logic − Puzzle 1

Discrete Mathematics: Propositional Logic − Puzzle 1
Topics discussed:
On an island, there are two kinds of inhabitants, knights, who always tell the truth, and their opposites, knaves, who always lie. You encounter two people A and B. Determine, if possible, what A and b are if they address in the ways described.

(a) A says "B is a knight" and B says "The two of us are of opposite types".
(b) A says "At least one of us is a knave" and B says nothing.

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