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