(adsbygoogle = window.adsbygoogle || []).push({}); 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Correcting my first order logic translations

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**