> The story I was thinking of, "... That Thou Art Mindful of Him" does not involve weakening the laws at all. You might be thinking of "Little Lost Robot" in which a robot with a dangerously incomplete Law One is hiding among otherwise identical robots.
It has been a long time since I read any Dr A. (Maybe even since his death.) I seemed to recall that the point of that story was that to counter scepticism about the laws of robotics, they were twisted (well in fact the robot's definition of a human being was, but in the end it amounted to the same) to try to make them please everyone, with unforeseen consequences.