Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished
~~((q || ~~~r) /\ ~(~((q || p) /\ ~q) || ~((q || p) /\ ~q)))
⇒ logic.propositional.andoveror~~((q || ~~~r) /\ ~(~((q /\ ~q) || (p /\ ~q)) || ~((q || p) /\ ~q)))
⇒ logic.propositional.andoveror~~((q || ~~~r) /\ ~(~((q /\ ~q) || (p /\ ~q)) || ~((q /\ ~q) || (p /\ ~q))))
⇒ logic.propositional.compland~~((q || ~~~r) /\ ~(~(F || (p /\ ~q)) || ~((q /\ ~q) || (p /\ ~q))))
⇒ logic.propositional.compland~~((q || ~~~r) /\ ~(~(F || (p /\ ~q)) || ~(F || (p /\ ~q))))
⇒ logic.propositional.falsezeroor~~((q || ~~~r) /\ ~(~(p /\ ~q) || ~(F || (p /\ ~q))))
⇒ logic.propositional.demorganand~~((q || ~~~r) /\ ~(~p || ~~q || ~(F || (p /\ ~q))))
⇒ logic.propositional.falsezeroor~~((q || ~~~r) /\ ~(~p || ~~q || ~(p /\ ~q)))
⇒ logic.propositional.demorganand~~((q || ~~~r) /\ ~(~p || ~~q || ~p || ~~q))
⇒ logic.propositional.idempor~~((q || ~~~r) /\ ~(~p || ~~q))
⇒ logic.propositional.notnot~~((q || ~~~r) /\ ~(~p || q))