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