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Discrete Math: How can I determine the consistency of the system?

  1. Sep 17, 2013 #1
    1. The problem statement, all variables and given/known data
    Are these system specifications consistent? "Whenever the system software is being upgraded, users cannot access the file system. If users can access the file system, then they can have new files, then the system software is not being upgraded."


    2. Relevant equations
    p: The system software is being upgraded
    q: Users cannot access the file system
    r: users can save new files.


    3. The attempt at a solution
    My professor did not really explain what consistency was. So I am unsure of how to go about doing this problem. I did some searching on this same problem and found that p→⇁q

    I don't quite understand why that is. Can someone please help?
     
  2. jcsd
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