Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

T /\ ~~(p /\ ~q) /\ ~~~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ (q || ~r) /\ ~~(p /\ ~q /\ T /\ T) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.notnot

T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ (q || ~r) /\ ~~(p /\ ~q /\ T /\ T) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.demorganand

T /\ ~~(p /\ ~q) /\ ~(~p || ~~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ (q || ~r) /\ ~~(p /\ ~q /\ T /\ T) /\ ~~(p /\ ~q /\ T)

⇒ logic.propositional.notnot

T /\ ~~(p /\ ~q) /\ ~(~p || q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ (q || ~r) /\ ~~(p /\ ~q /\ T /\ T) /\ ~~(p /\ ~q /\ T)