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