Phase transition for random quantified XOR-formulas

  • Authors:
  • Nadia Creignou;Hervé Daudé;Uwe Egly

  • Affiliations:
  • LIF, UMR CNRS, Université de la Méditerranée, Marseille, France;LATP, UMR CNRS, Université de Provence, Marseille, France;Institut für Informationssysteme, Technische Universität Wien, Wien, Austria

  • Venue:
  • Journal of Artificial Intelligence Research
  • Year:
  • 2007

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Abstract

The QXOR-SAT problem is the quantified version of the satisfiability problem XOR-SAT in which the connective exclusive-or is used instead of the usual or. We study the phase transition associated with random QXOR-SAT instances. We give a description of this phase transition in the case of one alternation of quantifiers, thus performing an advanced practical and theoretical study on the phase transition of a quantified problem.