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