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