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Computational representations of herbrand models using grammars

  • Robert Matzinger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1258)

Abstract

Finding computationally valuable representations of models of predicate logic formulas is an important subtask in many fields related to automated theorem proving, e.g. automated model building or semantic resolution. In this article we investigate the use of context-free languages for representing single Herbrand models, which appear to be a natural extension of “linear atomic representations” already known from the literature. We focus on their expressive power (which we find out to be exactly the finite models) and on algorithmic issues like clause evaluation and equivalence test (which we solve by using a resolution theorem prover), thus proving our approach to be an interesting base for investigating connections between formal language theory and automated theorem proving and model building.

Keywords

Function Symbol Predicate Symbol Ground Term Ground Atom Finite Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Robert Matzinger
    • 1
  1. 1.Technische Universität WienAustria

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