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