"assigns the assignor"? Every definition I can find for "assignor" defines it as the person (or in the case operator) who does the assignment. In other words, "=" is the assignor, not "$b".
The standard terminology for assignments is "lvalue" for the variable receiving the value (which is usually on the *l*eft) and "rvalue" for the value being copied (which is usually on the *r*ight).
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