Mathematical aspects of qualitative reasoning

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Abstract

Variations of interval arithmetic are developed in order to formalize the qualitative calculi used in ENVISION, Qualitative Process Theory, and QSIM. Properties such as completeness and soundness of these methods are analysed. The qualitative calculi are shown to be complete, but not sound. This means that these qualitative reasoning methods might predict spurious states of systems. Furthermore, their results are sensitive to transformations applied to the underlying equations.

Original languageEnglish
Pages (from-to)156-169
Number of pages14
JournalArtificial Intelligence in Engineering
Volume3
Issue number3
DOIs
StatePublished - Jul 1988
Externally publishedYes

Keywords

  • envisioning
  • interval arithmetic
  • qualitative physics
  • qualitative process theory
  • qualitative reasoning
  • qualitative simulation

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