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Basic logic question

  1. Aug 12, 2006 #1
    [tex] P \to \neg \, Q [/tex]

    [tex]P \vee Q \equiv P \oplus Q \text{ ?}[/tex]
    Last edited: Aug 12, 2006
  2. jcsd
  3. Aug 12, 2006 #2


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    The second symbol there is XOR?

    P -> ~Q
    ~P v ~Q
    P v Q
    (~P v ~Q) n (P v Q)
    P XOR Q

    P -> ~Q
    P XOR Q
    (~P v ~Q) n (P v Q)
    P v Q

    Yes, they are equivalent.
  4. Aug 13, 2006 #3
    I see :smile:; there's no difference between the two statements (given that condition)
    Correct; what symbol do you use for XOR ?
    Last edited: Aug 13, 2006
  5. Aug 23, 2006 #4


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    Staff Emeritus
    Gold Member

    For the sake of thoroughness, shouldn't you add the step above? It more straightforwardly describes the meaning of "XOR."
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