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Extending explanation-based generalization by abstraction operators

  • Igor Mozetič
  • Christian Holzbaur
Part 4: Theorem Proving And EBL
Part of the Lecture Notes in Computer Science book series (LNCS, volume 482)

Abstract

We present two contributions to the explanation-based generalization techniques. First, the operationality criterion is extended by abstraction operators. These allow for the goal concept to be reformulated not only in terms of operational predicates, but also allow to delete irrelevant arguments, and to collapse indistinguishable constants. The abstraction algorithm is presented and illustrated by an example. Second, the domain theory is not restricted to variables with finite (discrete) domains, but can deal with infinite (e.g., real-valued) domains as well. The interpretation and abstraction are effectively handled through constraint logic programming mechanisms. In the paper we concentrate on the role of CLP(ℜ) — a solver for systems of linear equations and inequalities over reals.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Igor Mozetič
    • 1
  • Christian Holzbaur
    • 2
  1. 1.Austrian Research Institute for Artificial IntelligenceViennaAustria
  2. 2.Austrian Research Institute for Artificial Intelligence, and Department of Medical Cybernetics and Artificial IntelligenceUniversity of ViennaViennaAustria

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