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Math Help - Propositional Logic challenge (university level)

  1. #1
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    Question Propositional Logic challenge (university level)

    Hello,

    I've been challenged on the university with this problem, which i can't resolve it. Can somebody help me? It needs to be resolved with propositional logic methods.
    This is the problem:

    Twelve University professors and students have been in the library at the time when a very expensive book
    on propositional logic has disappeared. Each one entered once,stayed some time and left. If two of
    them were in the library at the same time then at least one saw the other. Police interviewed these
    students and professors and gathered the following evidence:
    - Sem said that he saw Bryan and Zelda in the library.
    - Caitlin swore that she saw George and Holly.
    - Bryan said that he saw Sem and Vanessa.
    - Maria claimed that she saw David and Vanessa.
    - Nicolas
    said that he saw Alexander and Jana.
    - David said that he saw Bryan and Zelda.
    - Holly claimed that she saw Nicolas and Jana.
    - Zelda testified that she saw Bryan and Maria.
    - George said that he saw Alexander and Jana.
    - Vanessa said that she saw Maria and Zelda.
    - Alexander said that he saw George and Caitlin in the library.
    - Jana said that she saw Holly and Caitlin.

    Which one of the twelve University affiliates is not telling the truth? What he/she should have said
    so that it doesn’t get caught?
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    Re: Propositional Logic challenge (university level)

    Quote Originally Posted by Papagalce View Post
    I've been challenged on the university with this problem
    This makes it sound like you are to do this problem on your own. This is a Help site, so please understand that we need to see what work you've done already and that we can only give general help. You will have to put everything together yourself.

    -Dan
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