1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

DISCRETE MATH: Are these system specifications consistent?

  1. Jan 9, 2007 #1
    1. The problem statement, all variables and given/known data

    Are these system specifications consistent? "(A)Whenever the system software is being upgraded, users cannot access the file system. (B)If users can access the file system, then they can save new files. (C)If users cannot save new files, then the system software is not being upgraded."


    2. Relevant equations

    p = "The system software is being upgraded"

    q = "Users can access the file system"

    r = "Users can save new files"


    3. The attempt at a solution

    a) [tex]p\,\longrightarrow\,\neg\,q[/tex]

    b) [tex]q\,\longrightarrow\,r[/tex]

    c) [tex]\neg\,r\,\longrightarrow\,\neg\,p[/tex]

    Using truth tables for the above clauses, I found an assignment that makes the clauses all true. Make p = FALSE, q = TRUE, and r = TRUE. I say the system specification is consistent.

    What do you think?
     
  2. jcsd
  3. Jan 9, 2007 #2

    AKG

    User Avatar
    Science Advisor
    Homework Helper

    Yes, that works.
     
  4. Jan 9, 2007 #3
    The clauses a) b) and C) are correct as well?
     
  5. Jan 10, 2007 #4

    AKG

    User Avatar
    Science Advisor
    Homework Helper

    Yes, everything is right.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: DISCRETE MATH: Are these system specifications consistent?
  1. Discrete math (Replies: 3)

  2. Discrete Maths (Replies: 3)

  3. Discrete Math (Replies: 2)

Loading...