Integrity is the basing of one's actions on an internally consistent framework of principles. Depth of principles and adherence of each level to the next are key determining factors. One is said to have integrity to the extent that everything he does and believes is based on the same core set of values. While those values may change, it is their consistency with each other and with the person's actions that determine his integrity. The concept of integrity is directly linked to responsibility in that implementation spawning from principles is designed with a specific outcome in mind. When the action fails to achieve the desired effect, a change of principles is indicated. Accountability is achieved when a faulty principle is identified and changed to produce a more useful action.
Honesty is the human quality of communicating and acting truthfully. It is related to truth as a value. This includes listening, and any action in the human repertoire — as well as speaking.
Superficially, honesty means simply, stating facts and views as best one truly believes them to be. It includes both honesty to others, and to oneself and about ones own motives and inner reality