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)))) /\ ~(T /\ ~(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 /\ 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.demorganand((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)