Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

T /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ T /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ((~~(p /\ ~q) /\ q) || (~~(p /\ ~q) /\ ~r)) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.idempand

T /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ((~~(p /\ ~q) /\ q) || (~~(p /\ ~q) /\ ~r)) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.demorganand

T /\ ~(~p || ~~q) /\ T /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ((~~(p /\ ~q) /\ q) || (~~(p /\ ~q) /\ ~r)) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.notnot

T /\ ~(~p || q) /\ T /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ((~~(p /\ ~q) /\ q) || (~~(p /\ ~q) /\ ~r)) /\ ~~(p /\ ~q /\ T)