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