Complexity Results for 2CNF Default Theories

  • Authors:
  • Xishun Zhao;Decheng Ding

  • Affiliations:
  • -;-

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2001

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Abstract

This paper is concerned with the complexity of default reasoning with 2CNF default theories (D,W) in which W is a set of literals and D is a set of 2CNF defaults. It is proved that the problem whether a literal occurs in at least one extension can be solved in polynomial time. But the problem whether a literal appears in all extensions is proved to be co-NP-complete. The complexity of some subclasses of 2CNF default theories is also analyzed.