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   <subfield code="a">The instability of self-stabilization</subfield>
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   <subfield code="a">Summary: We argue that the important property of self-stabilization is, in principle, unstable across system classes. In particular, we first define a very broad notion of simulation. We then define what it means for a simulation to either preserve or force self-stabilization. Given these definitions, we then show that, for a variety of system classes, there is no simulation that preserves or forces self-stabilization.</subfield>
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