Fast algorithms for revision of some special propositional knowledge bases

  • Authors:
  • ShangMin Luan;GuoZhong Dai

  • Affiliations:
  • Institute of Software, The Chinese Academy of Sciences, Beijing 100080, P.R. China;Institute of Software, The Chinese Academy of Sciences, Beijing 100080, P.R. China

  • Venue:
  • Journal of Computer Science and Technology
  • Year:
  • 2003

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Abstract

In this paper, the computational complexity of propositional clause set counter-factuals is discussed. It is shown that the computational complexity of propositional clause set counterfactuals is at the second level of the polynomial hierarchy, and that the computational complexity of propositional Horn clause set counterfactuals is at the first level of the polynomial hierarchy. Furthermore, some polynomial algorithms are presented for some special propositional clause set, such as the unique satisfiable clause set and the clause set of which only one subset is minimally inconsistent with the input clause whose inconsistency check can be solved in polynomial time.