A Program Refinement Framework Supporting Reasoning about Knowledge and Time

(Preliminary Report)
  • Kai Engelhardt
  • Ron van der Meyden
  • Yoram Moses
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1784)


This paper develops a highly expressive semantic framework for program refinement that supports both temporal reasoning and reasoning about the knowledge of a single agent. The framework generalizes a previously developed temporal refinement framework by amalgamating it with a logic of quantified local propositions, a generalization of the logic of knowledge. The combined framework provides a formal setting for development of knowledge-based programs, and addresses two problems of existing theories of such programs: lack of compositionality and the fact that such programs often have only implementations of high computational complexity. Use of the framework is illustrated by a control theoretic example concerning a robot operating with an imprecise position sensor.


High Computational Complexity Propositional Variable Program Variable Goal Region Temporal Reasoning 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Kai Engelhardt
    • 1
  • Ron van der Meyden
    • 1
  • Yoram Moses
    • 2
  1. 1.School of Computer Science and EngineeringThe University of New South WalesSydneyAustralia
  2. 2.Department of Electrical EngineeringTechnionHaifaIsrael

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