$(7$ points$)$

$($a$)(1$ point$)$ Define what it means for $A{?}_{m}B.$

$($b$)(1$ point$)$ Define what it means for $ArB.$

$($c$)(1$ point$)$ Define what it means for $ApB.$

$($d$)(4$ points$)$ Show that if $A$ is computably enumerable, then $A{?}_m{A}_{TM}.$

No AI please