acknowledge

To admit the knowledge of; to recognize as a fact or truth; to declare one's belief in.

to acknowledge the being of a god

I acknowledge my transgressions.

To own or recognize in a particular quality, character or relationship; to admit the claims or authority of; to give recognition to.

By my soul, I'll ne'er acknowledge thee.

In all thy ways acknowledge Him.

To be grateful of (e.g. a benefit or a favour)

to acknowledge a favor

They his gifts acknowledged none.

To report (the receipt of a message to its sender).

This is to acknowledge your kind invitation to participate in the upcoming debate.

To own as genuine or valid; to assent to (a legal instrument) to give it validity; to avow or admit in legal form.

One who has been sheriff may acknowledge a deed executed by him while in office.