points$)$

$($a$)(3$ points$)$ Define each of the following terms: computable, c$.$e$.,$ and co$-$c$.$e$.$

$($b$)(6$ points$)$ Prove that a language is computable if and only if it is c$.$e$.$ and co$-$c$.$e$.($Remember that there are two things to show for an $"$if and only if$"$ statement.$)$

No AI please