Knights and Liars

Knights and Liars puzzles are logic problems where each character is either a Knight (always tells the truth) or a Liar (always lies). To solve these, assign variables (e.g., $K$ for Knight, $L$ for Liar) and translate their statements into logical expressions. Analyze the truth or falsity of each statement based on the character's type.

Important properties

• A Knight's statement is always true.

• A Liar's statement is always false.

• If a Liar says 'I am a Liar,' this creates a paradox, so such statements are usually avoided.

• Statements can be about themselves or others, and may involve logical connectives like 'and', 'or', or 'if...then...'.