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