Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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