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