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