Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.compland

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.notfalse

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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