Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.notnot

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