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What's the difference between "citizen's arrest", detaining someone, or just using force to coerce someone not to leave, i.e. holding them at gunpoint and hoping they don't run off? Are these semantics? Is there a legal difference between physically restraining someone and holding them at gunpoint?

And then, if you are justified in using force, but not deadly force, in a situation - does the use of force constitute provocation if it causes the bg to escalate to the point where you have to use deadly force in self defense?