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