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