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