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