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First Order Logic Question

  1. Nov 13, 2011 #1
    1. The problem statement, all variables and given/known data
    [PLAIN]http://img233.imageshack.us/img233/2113/logica.png [Broken]

    This problem is asking whether the given sentences are R) Tautology, S) Satisfiable, but not a tautology, T) Not satisfiable.

    2. Relevant equations

    3. The attempt at a solution
    I've read Rosen's Discrete Mathematics but couldn't find any clue about this kind of question. I guess I should get rid of those quantifiers (or at least simplify) but couldn't find any pertinent rule. I'm missing something for sure.

    Code (Text):
    p   q   ¬p (p v q) (¬p -> p)  (p v q) -> (p v q)
    --------------------------------------------------------------------------
    T   T   F     T      T      T
    T   F   F     T      T      T
    F   T   T     T      T      T
    F   F   T     F      F      T
    Any help will be appreciated.

    Thanks =)
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
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