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I have to translate follo wing sentence into SL (sentence letters). I have also Indicate which English sentences I am representing with which.

Bill will win the race if and only if Gladys either breaks a leg or has a hangover.

I wrote

  • $B:$ Bill win will the race and

  • $G$: Gladys either breaks a leg or an arm or has an hangover

Which leads me to : $B\equiv G$

Yet, I thought also to another answer: $A$

  • :Bill will win the race.
  • $B$:Gladys breaks a leg or an arm.
  • $C$:Gladys has a hangover. $A≡(B∨C)$

Which one should be considered as the best? the shortest one or the one expressiong the

Revolucion for Monica
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1 Answers1

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The idea that the author had with this problem was definitely to use the one with

$$A\iff (B\lor C).$$

With this expression, you break the sentence into as many atomic parts as you can.

Mankind
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