Hi,
I don't think there is any way to stop the execution of a sequence structure in your case 0 (well except hitting the LabVIEW Stop button). What you can do though is to use different program structure to implement the same thing. Seperate your sequences in case 0 into many individual cases in a while loop, like a state machine structure for example. This way by dividing them into different cases, you can decide exactly when an exit condition can be checked.
Hope this helps,
Dan