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