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