If you are using LabVIEW 6.1, I would suggest using the event structure. By using such a structure, you can enable and disable buttons each time one button is pressed. This would definitely be the easiest way.
For instance, when the Run button is clicked for the second time, you can enable the abort button. Also, you could keep a numeric variable that gets updated so that you can know if the Run button has been clicked twice. Try this out and let us know how it works.
J.R. Allen