Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished(q || (~r /\ ~~(~F /\ T))) /\ ~((~(q /\ ~q) /\ ~~(~~~(p /\ ~q) /\ ~F)) || (~(q /\ ~q) /\ ~~(~~~(p /\ ~q) /\ ~F)))
⇒ logic.propositional.compland(q || (~r /\ ~~(~F /\ T))) /\ ~((~F /\ ~~(~~~(p /\ ~q) /\ ~F)) || (~(q /\ ~q) /\ ~~(~~~(p /\ ~q) /\ ~F)))
⇒ logic.propositional.compland(q || (~r /\ ~~(~F /\ T))) /\ ~((~F /\ ~~(~~~(p /\ ~q) /\ ~F)) || (~F /\ ~~(~~~(p /\ ~q) /\ ~F)))
⇒ logic.propositional.idempor(q || (~r /\ ~~(~F /\ T))) /\ ~(~F /\ ~~(~~~(p /\ ~q) /\ ~F))
⇒ logic.propositional.notfalse(q || (~r /\ ~~(~F /\ T))) /\ ~(T /\ ~~(~~~(p /\ ~q) /\ ~F))
⇒ logic.propositional.truezeroand(q || (~r /\ ~~(~F /\ T))) /\ ~~~(~~~(p /\ ~q) /\ ~F)
⇒ logic.propositional.notnot(q || (~r /\ ~~(~F /\ T))) /\ ~(~~~(p /\ ~q) /\ ~F)
⇒ logic.propositional.notfalse(q || (~r /\ ~~(~F /\ T))) /\ ~(~~~(p /\ ~q) /\ T)
⇒ logic.propositional.truezeroand(q || (~r /\ ~~(~F /\ T))) /\ ~~~~(p /\ ~q)
⇒ logic.propositional.notnot(q || (~r /\ ~~(~F /\ T))) /\ ~~(p /\ ~q)
⇒ logic.propositional.demorganand(q || (~r /\ ~~(~F /\ T))) /\ ~(~p || ~~q)
⇒ logic.propositional.notnot(q || (~r /\ ~~(~F /\ T))) /\ ~(~p || q)