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