Semantic tableaux with ordering restrictions

  • Stefan Klingenbeck
  • Reiner Hähnle
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 814)


The aim of this paper is to make restriction strategies based on orderings of the Herbrand universe available for semantic tableau-like calculi as well. A marriage of tableaux and ordering restriction strategies seems to be most promising in applications where generation of counter examples is required. In this paper, starting out from semantic trees, we develop a formal tool called refutation graphs, which (i) serves as a basis for completeness proofs of both resolution and tableaux, and (ii) is compatible with so-called A-ordering restrictions. The main result is a first-order ground tableau procedure complete for A-ordering restrictions.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Stefan Klingenbeck
    • 1
  • Reiner Hähnle
    • 1
  1. 1.Institute for Logic, Complexity and Deduction SystemsUniversity of KarlsruheKarlsruheGermany

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