I have two questions regarding navigation in MvvMCross.
How can I truncate the navigation stack?
e.g: A|B|C on the stack, navigating to D makes the stack look like: D
The functionality for manipulating the back stack is platform and app specific - e.g:
Because of this, the actual implementation of UI changes like this is not defined within MvvmCross.
Instead, it's up to you to implement in your applications presenter.
The basic flow you'll need to follow is:
Work out what your app structure is and what effect(s) you want to achieve
For this effect, declare a custom presentation hint - e.g
    public class MyFunkyPresentationHint : MvxPresentationHint
    {
        public int DegreeOfFunkiness { get; set; } 
    }
    base.ChangePresentation(new MyFunkyPresentationHint() { DegreeOfFunkiness=27 });
    public override void ChangePresentation(MvxPresentationHint hint)
    {
        if (hint is MyFunkyPresentationHint)
        {
            // your code goes here
            return;
        }
        base.ChangePresentation(hint);
    }
For examples of custom presenters, see: http://slodge.blogspot.com/2013/06/presenter-roundup.html
For one example of backstack manipulation, see how Close(this) is implemented in some of the standard presenters.
There is a nice article with information to do it here. That covers iOS and Android fragments based navigation. There is a situation missing that is Activity based navigation. For that particular case, android intents can help adding some flags to it.
private class CustomPresenter : MvxAndroidViewPresenter
{
    public override void Show(MvxViewModelRequest request)
    {
        if (request.PresentationValues?["NavigationMode"] == "ClearStack")
        {
            var intent = CreateIntentForRequest(request);
            intent.AddFlags(ActivityFlags.ClearTask | ActivityFlags.NewTask);
            Show(intent);
            return;
        }
        base.Show(request);
    }
}
Note that ActivityFlags.ClearTask | ActivityFlags.NewTask will make your new activity to be the only one on the stack.
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