Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
~~(~p <-> (p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.notnot(~p <-> (p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.defequiv(~p /\ p /\ q) || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.compland(F /\ q) || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.falsezeroandF || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.falsezeroor(~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.notnot(p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.demorganand(p /\ (~p || ~q)) || (~p <-> (p /\ q))
⇒ logic.propositional.andoveror(p /\ ~p) || (p /\ ~q) || (~p <-> (p /\ q))
⇒ logic.propositional.complandF || (p /\ ~q) || (~p <-> (p /\ q))
⇒ logic.propositional.falsezeroor(p /\ ~q) || (~p <-> (p /\ q))