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Homework Help: Semantic tree?

  1. May 18, 2009 #1
    1. The problem statement, all variables and given/known data

    Show the semantic tree of:

    [tex] \neg ( ( p_0 \rightarrow p_1 ) \rightarrow \neg ( p_1 \rightarrow p_2 ) ) [/tex]

    2. Relevant equations

    [tex] \neg ( ( p_0 \rightarrow p_1 ) \rightarrow \neg ( p_1 \rightarrow p_2 ) ) [/tex]

    3. The attempt at a solution

    I cannot understand its purpose. Where should you start?
  2. jcsd
  3. May 18, 2009 #2


    Staff: Mentor

    The term "semantic tree" doesn't ring any bells with me in the context of logical statements. Do you have any worked examples in your notes or text?

    What I would try (and I have no idea if this is the right thing to do), is to make a table with T and F values for p0, p1, and p2 -- eight rows will do the trick. In the same table, calculate the values of p0 ==> p1, p1 ==> p2, and so on with the negated expressions, and see what I get from that.
  4. May 25, 2009 #3
    Last edited: May 25, 2009
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