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