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It was recently proved that a sound and complete qualitative simulator doesnot exist, that is, as long as the input-output vocabulary of thestate-of-the-art QSIM algorithm is used, there will always be input modelswhich cause any simulator with a coverage guarantee to make spuriouspredictions in its output. In this paper, we examine whether a meaningfullyexpressive restriction of this vocabulary is possible so that one can build asimulator with both the soundness and completeness properties. We prove severalnegative results: All sound qualitative simulators, employing subsets of theQSIM representation which retain the operating region transition feature, andsupport at least the addition and constancy constraints, are shown to beinherently incomplete. Even when the simulations are restricted to run in asingle operating region, a constraint vocabulary containing just the addition,constancy, derivative, and multiplication relations makes the construction ofsound and complete qualitative simulators impossible.

Causes of Ineradicable Spurious Predictions in Qualitative Simulation