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Murder by Logic (Posted on 2004-03-05) Difficulty: 3 of 5
Professor Z was killed by one of his four students, who was helped by another of the four. His students declared:

A: If B is guilty of something, then C must be innocent.
B: If A is innocent, then C must be guilty.
C: If B was the killer, then D must have had nothing to do with the crime.
D: I am innocent.

As everybody should know, guilty parties always lie, and innocent people always tell the truth. Who killed the professor, and who was his accomplice?

See The Solution Submitted by Federico Kereki    
Rating: 3.7692 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): full solution | Comment 13 of 23 |
(In reply to re: full solution by M. Pianalto)

Matthew, the t-value under A's statement is correct.

Since the first part of the statement is false (A isn't innocent),  the second part can be anything, and the truth value is true.

This is similar to my saying, "If the sky is always orange, then I can fly."  (A true statement.)

  Posted by SilverKnight on 2004-03-10 03:15:52

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