acknowledge

verb5

1. •
   To admit the knowledge of; to recognize as a fact or truth; to declare one's belief in.

   • I acknowledge my transgressions. — 1611
2. •
   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. — 1591
3. •
   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. — 1843
4. •
   To report (the receipt of a message to its sender).

   • This is to acknowledge your kind invitation to participate in the upcoming debate.
5. •
   To be grateful of (e.g. a benefit or a favour)

   • They his gifts acknowledged none. — 1667