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Correcting my first order logic translations

  1. Sep 27, 2010 #1
    1. The problem statement, all variables and given/known data

    Well the problem is: translate the following sentences in first order logic. I cannot verify whether they are correct or not. Maybe someone can point out my mistakes.

    1. No barber shaves persons shaving themselves.
    [tex](\neg \exists x)(Barber(x) \wedge (\forall y)(Shaves(y,y) \Leftrightarrow Shaves(x,y)))[/tex]

    2. Any Barber shaves all the persons not shaving themselves.
    [tex](\forall x)(Barber(x) \wedge (\forall y) (\neg \Shaves(y,y) \Leftrightarrow Shaves(x,y)))[/tex]

    3. White birds can fly.
    [tex](\forall x)(Bird(x) \wedge White(x) \rightarrow Fly(x))[/tex]

    4. A bird is happy if all its children can fly.
    [tex](\forall x,y)(ChildOf(x, y) \wedge Fly(x) \rightarrow Bird(y) \wedge Happy(y))[/tex]

    Thanks for your help.

    Please make corrections and suggestions whenever you do see fit. Excuse me for my english.
  2. jcsd
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