Truth and Lies
Logic
You meet 3 people (call them $A$, $B$, $C$) at the scene of a robbery: the thief, the guard, the bystander. You know that:
• the thief always lies
• the guard always tells the truth
• the bystander may say anything (true or false)
They gave the following testimonies:
• $A$: "$B$ is the thief"
• $B$: "$C$ is the guard"
• $C$: "I am the thief."
Who is the thief? guard? bystander?
A$A$, $B$, $C$
B$B$, $A$, $C$
C$C$, $A$, $B$
Dnone of the above