Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.compland

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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