Short human descriptions for logic's AND, OR and NOT


In a user interface, we are offering the user to combine searches using either AND, OR or NOT


http://whatis.techtarget.com/definition/logic-gate-AND-OR-XOR-NOT-NAND-NOR-and-XNOR


We have little graphics explaining the effect, but what would be good, laymen, human words to describe these operations in english as separate items in a menu list ? Short sentences like 'combine searches','intersect searches','exclude from previous search' spring to mind .. but I'm not a native speaker.




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