in reply to your original question: without fairness conditions, any specification admits executions that stutter forever. For such a specification Spec,
Spec => <>P is valid only if Spec => P
is, that is, if the property P holds initially.
There are many examples for checking termination and liveness properties. A simple one is the N-Queens specification .
For more information about fairness and liveness in TLA, you may want to watch episode 9 of the video lectures .
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