Fetching details from the dictionary...

condition; assumption; prerequisite; hypothesis
intention; intent; aim; goal
premise
相互信頼を前提とした話し合いが必要だ。
Discussions based on mutual trust are necessary.
結婚を前提にお付き合いしたいと思っている。
I would like to date with the premise of marriage.
議論を進めるにはまず前提を共有すべきだ。
To advance the discussion, we should first share our assumptions.