Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.truezeroor

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