Propagation Completeness of Reactive Constraints

  • Authors:
  • Michael J. Maher

  • Affiliations:
  • -

  • Venue:
  • ICLP '02 Proceedings of the 18th International Conference on Logic Programming
  • Year:
  • 2002

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Abstract

We develop a framework for addressing correctness and timeliness-of-propagation issues for reactive constraints - global constraints or user-defined constraints that are implemented through constraint propagation. The notion of propagation completeness is introduced to capture timeliness of constraint propagation. A generalized form of arc-consistency is formulated which unifies many local consistency conditions in the literature. We show that propagation complete implementations of reactive constraints achieve this arc-consistency when propagation quiesces. Finally, we use the framework to state and prove an impossibility result: that CHR cannot implement a common relation with a desirable degree of timely constraint propagation.