To verify the accuracy of a text or translation, usually making some corrections (proofread) or many (copyedit).
(US, often used with "off") To mark items on a list (with a checkmark or by crossing them out) that have been chosen for keeping or removal or that have been dealt with (for example, completed or verified as correct or satisfactory); to check off, tick (UK), tick off (UK), cross off, strike off.