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