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