In set theory, is a bar above a letter the same as the tilda?

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Is an A with a horizontal line above it the same as an A with a tilda before it? eg: ~A

So, are they both the complement (opposite) of A?

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$\overline A$ is the complement of the set A.
~A is the negation of the statement A.
No, they are not the same.
One is a set, the other a statement.
The usual notation for the complement of A is A$^c$.