Generating finite counter examples with semantic tableaux

  • Stefan Klingenbeck
Classical Logic — Extensions
Part of the Lecture Notes in Computer Science book series (LNCS, volume 918)


This article presents a tableau-like calculus for generating finite counter examples for first-order formulas with equality. Tableau branches are augmented by assigning a non empty subset of the universe to each simple term. This assignment is subject to a revision process, comparable to the approximation of functions by a sequence of step functions in numerical mathematics, resulting in non-Herbrand interpretations for predicate, function and constant symbols. Soundness and completeness of the proposed procedure are defined and proved.


Automated deduction semantic tableau counter examples finite models 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Stefan Klingenbeck
    • 1
  1. 1.Complexity and Deduction SystemsUniversity of Karlsruhe Institute for LogicKarlsruheGermany

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