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