If I forgive but do not reconcile, would you say that I truly have forgiven?
Reconciliation is not a necessary condition to forgive. Yet, if you do not reconcile, whether you have truly forgiven includes such issues as these: Do you wish the other person well? Do you see the worth and human dignity of the person? Do you have a softened heart toward the person? Are you willing to offer an unconditional gift of some kind to the other (doing so as an end in and of itself rather than for a reward)? All of these issues are part of deep forgiving.