There are two tribes on the island of Tufa: the Tu's, who always tell the truth, and the Fa's, who always lie. A traveler encountered three residents of the island, A, B and C, and each made a statement to the traveler: A said "B and C tell the truth if and only if C tells the truth." B said "If A and C tell the truth, then A tells the truth." Csaid "B is lying if and only if A or B is telling the truth." From this information, can you determine which tribes A, B and C belong to? Explain.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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There are two tribes on the island of Tufa: the Tu's, who always tell the truth, and the Fa's, who always lie.
A traveler encountered three residents of the island, A, B and C, and each made a statement to the traveler:
A said "B and C tell the truth if and only if C tells the truth."
B said "If A and C tell the truth, then A tells the truth."
. C said "B is lying if and only if A or B is telling the truth."
From this information, can you determine which tribes A, B and C belong to? Explain.
Transcribed Image Text:There are two tribes on the island of Tufa: the Tu's, who always tell the truth, and the Fa's, who always lie. A traveler encountered three residents of the island, A, B and C, and each made a statement to the traveler: A said "B and C tell the truth if and only if C tells the truth." B said "If A and C tell the truth, then A tells the truth." . C said "B is lying if and only if A or B is telling the truth." From this information, can you determine which tribes A, B and C belong to? Explain.
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