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