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