'Acknowledging' in the Bible

By faith Abel offered to God a more acceptable sacrifice than Cain, through which it was testified of him that he was righteous (upright, in right standing with God), and God testified by accepting his gifts. And though he died, yet through [this act of] faith he still speaks.

All these died in faith [guided and sustained by it], without receiving the [tangible fulfillment of God’s] promises, only having seen (anticipated) them and having welcomed them from a distance, and having acknowledged that they were strangers and exiles on the earth.