Copyediting
Light Copyedit
This level of copyedit focuses on correcting indisputable errors in spelling, grammar, syntax, and usage. It is most akin to what people think of as "proofreading."
Medium Copyedit
This level of copyedit includes everything in a light copyedit, plus rewriting any infelicities that may not be necessarily wrong and pointing out patches that are confusing or overly wordy for the author to address.
Heavy Copyedit
This level of copyedit includes everything in a light and medium copyedit, but goes beyond it to actively rewrite any confusing or overly wordy patches and ask questions to improve and clarify ideas and their presentation.