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logic and economic ethics

.Usingthesymbolisationkeygiven,symboliseeachEnglishsentenceinTFL. A: MisterAcewasmurdered. B: Thebutlerdidit. C: Thecookdidit. D: TheDuchessislying. E: MisterEdgewasmurdered. F: Themurderweaponwasafryingpan. 1. EitherMisterAceorMisterEdgewasmurdered. 2. IfMisterAcewasmurdered,thenthecookdidit. 3. IfMisterEdgewasmurdered,thenthecookdidnotdoit. 4. Eitherthebutlerdidit,ortheDuchessislying. 5. ThecookdiditonlyiftheDuchessislying. 6. Ifthemurderweaponwasafryingpan,thentheculpritmusthavebeenthecook. 7. Ifthemurderweaponwasnotafryingpan,thentheculpritwaseitherthecookor thebutler. 8. MisterAcewasmurderedifandonlyifMisterEdgewasnotmurdered. 9. TheDuchessislying,unlessitwasMisterEdgewhowasmurdered. 10. IfMisterAcewasmurdered,hewasdoneinwithafryingpan. 11. Sincethecookdidit,thebutlerdidnot. 12. OfcoursetheDuchessislying! 

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