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