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# translate into Propositional Logic form

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I have 25 statements I'm supposed to translate into Propositional Logic form and these three are giving me some trouble. Do you think you could help?

e) Liza Minelli marries another businessman if Michael Jackson has another nose job, provided it is not the case that neither Britney Spears nor Justin Timberlake is videotaped being drunk in public.

I have this one set up so that:
L= Liza Minelli M=Michael Jackson
B=Britney Spears J=Justin Timberlake

f) Either Washington state repeals the death penalty or George Bush stages another made-for-tv campaign event unless Howard Dean adds another 5 million dollars to his campaign fund..

I have this one set up so that:
W=Washington G=George Bush H=Howard Dean

k) Ozone depletion is a necessary and sufficient condition for increased cancer rates if and only if the US's refusal to sign the Kyoto protocol is neither a necessary condition for Ozone depletion nor a sufficient condition for for increased cancer rates.

I have this one set up so that:
O=Ozone depletion I=increased cancer rates U=US's refusal to sign

##### Solution Summary

This job translates into Propositional Logic form. The sufficient conditions for increased cancer rates are analyzed.

##### Solution Preview

{I use "->" for implication; "~" for negation; "&" conjunction; "V" for disjunction; "<->" for bi-conditional. )
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<br><br><br><br>e) Liza Minelli marries another businessman if Michael Jackson has another nose job, provided it is not the case that neither Britney Spears nor Justin Timberlake is videotaped being drunk in public.
<br><br><br><br>L = Liza Minelli marries another ...