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