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Is it correct to say "I have not given or received any information about the party"?

Or is it correct to say "I have not given nor received any information about the party"?

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A difficult one. There are many articles on the web about the correct usage of "nor". For example:
https://english.stackexchange.com/questions/3623/should-i-use-or-or-nor

Grammar Girl writes:

If, on the other hand, the second part of the negative is a verb phrase then you can choose to use “nor” or “or”.

This sentence appears correct:

I have not (given or received) any information about the party

And this sentence seems to be emphatic, by stressing the negative aspect:

I have not given nor received any information about the party

From the perspective of logic:
! (a || b)
and
!a && !b
are the same.

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