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