For example
To attest the document, he signed it as having witnessed it.
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To sign to witness a signature on a document.
Someone who: watches a signature being put on a document, and then signs as well to verify the signature's authenticity; or attends court to testify about events they know about. To witness a document is to watch it being signed and then add your own signature and name, address and occupation.
Swearing the truth of a statement.