Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.idempor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

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