Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.idempor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.truezeroand

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