Qualitative reasoning : modeling and simulation with incomplete knowledge

Bibliographic Information

Qualitative reasoning : modeling and simulation with incomplete knowledge

Benjamin Kuipers

(The MIT Press series in artificial intelligence)

MIT Press, c1994

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Note

Includes bibliographical references (p. [397]-410) and index

Description and Table of Contents

Description

This book presents, within a conceptually unified theoretical framework, a body of methods that have been developed over the past fifteen years for building and simulating qualitative models of physical systems--bathtubs, tea kettles, automobiles, the physiology of the body, chemical processing plants, control systems, electrical systems--where knowledge of that system is incomplete. The primary tool for this work is the author's QSIM algorithm, which is discussed in detail. Qualitative models are better able than traditional models to express states of incomplete knowledge about continuous mechanisms. Qualitative simulation guarantees to find all possible behaviors consistent with the knowledge in the model. This expressive power and coverage is important in problem solving for diagnosis, design, monitoring, explanation, and other applications of artificial intelligence. The framework is built around the QSIM algorithm for qualitative simulation and the QSIM representation for qualitative differential equations, both of which are carefully grounded in continuous mathematics. Qualitative simulation draws on a wide range of mathematical methods to keep a complete set of predictions tractable, including the use of partial quantitative information. Compositional modeling and component-connection methods for building qualitative models are also discussed in detail. Qualitative Reasoning is primarily intended for advanced students and researchers in AI or its applications. Scientists and engineers who have had a solid introduction to AI, however, will be able to use this book for self-instruction in qualitative modeling and simulation methods. Artificial Intelligence series

Table of Contents

  • Introduction to qualitative reasoning
  • concepts of qualitative simulation
  • the QSIM representation
  • solving qualitative constraints
  • dynamic qualitative simulation
  • case studies - elementary qualitative models
  • comparative statics
  • region transitions
  • semi-quantitative reasoning
  • higher-order derivatives
  • global dynamical constraints
  • time-scale abstraction
  • component-connection models
  • compositional modelling
  • appendices - QSIM functions, creating and debugging a QSIM model.

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