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