Problem #PRU-32792

Problems Discrete Mathematics Set theory and logic Mathematical logic Mathematical logic (other)

Problem

An adventurer travels to the planet of Liars and Truth-Tellers with an official guide and meets a local. “Are you a truth-teller?” the adventurer asks. The alien replies, “Yrrg”, which means either “yes” or “no.” The adventurer turns to the guide for help. The guide says, “‘Yrrg’ means ‘yes’. Also, the local is actually a liar.” Is the local alien a liar or a truth-teller?