期刊名称:Journal of Automation, Mobile Robotics & Intelligent Systems (JAMRIS)
印刷版ISSN:1897-8649
电子版ISSN:2080-2145
出版年度:2006
卷号:27
页码:551-575
出版社:Industrial Research Inst. for Automation and Measurements, Warsaw
摘要:It was recently proved that a sound and complete qualitative simulator does not
exist, that is, as long as the input-output vocabulary of the state-of-the-art
QSIM algorithm is used, there will always be input models which cause any
simulator with a coverage guarantee to make spurious predictions in its output.
In this paper, we examine whether a meaningfully expressive restriction of this
vocabulary is possible so that one can build a simulator with both the soundness
and completeness properties. We prove several negative results: All sound
qualitative simulators, employing subsets of the QSIM representation which
retain the operating region transition feature, and support at least the
addition and constancy constraints, are shown to be inherently incomplete. Even
when the simulations are restricted to run in a single operating region, a
constraint vocabulary containing just the addition, constancy, derivative, and
multiplication relations makes the construction of sound and complete
qualitative simulators impossible