Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
((F || q || ~~p) /\ r) || ((F || q || ~~p) /\ q) || ((F || q || ~~p) /\ (~~p || r)) || ((F || q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.absorpand((F || q || ~~p) /\ r) || ((F || q || ~~p) /\ q) || ((F || q || ~~p) /\ (~~p || r)) || q || ~~p
⇒ logic.propositional.falsezeroor((q || ~~p) /\ r) || ((F || q || ~~p) /\ q) || ((F || q || ~~p) /\ (~~p || r)) || q || ~~p
⇒ logic.propositional.falsezeroor((q || ~~p) /\ r) || ((q || ~~p) /\ q) || ((F || q || ~~p) /\ (~~p || r)) || q || ~~p
⇒ logic.propositional.absorpand((q || ~~p) /\ r) || q || ((F || q || ~~p) /\ (~~p || r)) || q || ~~p
⇒ logic.propositional.falsezeroor((q || ~~p) /\ r) || q || ((q || ~~p) /\ (~~p || r)) || q || ~~p
⇒ logic.propositional.absorpor((q || ~~p) /\ r) || q || q || ~~p
⇒ logic.propositional.idempor((q || ~~p) /\ r) || q || ~~p
⇒ logic.propositional.absorporq || ~~p
⇒ logic.propositional.notnotq || p