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