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Truth tables for these calculus formulae

  1. Apr 30, 2012 #1
    1. The problem statement, all variables and given/known data

    Construct truth tables for the two propositional calculus formulae

    (p→(~q))[itex]\wedge[/itex]r and q→((~p)[itex]\wedge[/itex]r)



    2. Relevant equations



    3. The attempt at a solution

    Can some one please check these solutions because I had a look at the answer and it was different but I don't think I am wrong.

    Sorry about the layout I tried pasting of a word doc table but did not work out to well.

    Just follow the vales with each column respectively.
    Code (Text):


    p   ,   q  ,    r  ,    (p(~q)) [itex]\wedge[/itex] r  ,  ((~p) [itex]\wedge[/itex] r)

    T   T   T       F                        F
    T   T   F       F                        F
    T   F   T       T                        T
    T   F   F       F                        T
    F   T   T       T                        T
    F   T   F       F                        F
    F   F   T       T                        T
    F   F   F       F                        T

     
    Is this right??
     
    Last edited: Apr 30, 2012
  2. jcsd
  3. Apr 30, 2012 #2

    SammyS

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    To get better spacing use the [code ] tag.

    Code (Text):
    p   ,   q  ,    r  ,    (p→(~q)) ∧ r  ,  (q→(~p) ∧ r)

    T   T   T       F                        F
    T   T   F       F                        F
    T   F   T       T                        T
    T   F   F       F                        T
    F   T   T       T                        T
    F   T   F       F                        F
    F   F   T       T                        T
    F   F   F       F                        T
     
     
    Last edited: Apr 30, 2012
  4. Apr 30, 2012 #3
    Ok thanks but is it right?
     
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