Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.truezeroand

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