A Bottom-Up Approach to Clausal Tableaux

  • Authors:
  • Nicolas Peltier

  • Affiliations:
  • LIG, CNRS, 46, avenue Félix Viallet, 38031 Grenoble Cedex, France

  • Venue:
  • TABLEAUX '07 Proceedings of the 16th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
  • Year:
  • 2007

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Abstract

We present a new proof procedure for first-order logic. It is close in spirit to the usual tableaux-based procedures, but uses a more compact representation of the search space. Roughly speaking, it constructs the tableau from the leaves to the root, and tries to factorize common subtrees when possible.We study the complexity of our procedure for several propositional classes and we show that it is polynomial for all these classes.