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