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Extracting models from clause sets saturated under semantic refinements of the resolution rule
Authors:Nicolas Peltier
Affiliation:Centre National de la Recherche Scientifique, Laboratoire LEIBNIZ-IMAG, 46 Avenue Félix Viallet, 38031, Grenoble Cedex, France
Abstract:We present an algorithm that—given a set of clauses S saturated under some semantic refinements of the resolution calculus—automatically constructs a Herbrand model Image of S. Image is represented by a set of atoms with equality and disequality constraints interpreted over the finite tree algebra, hence the problem of evaluating first-order formulae in Image is decidable.
Keywords:Logic in computer science  Automated deduction  Automated model building  Saturation-based methods
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