Redundancy in logic I: CNF propositional formulae

  • Authors:
  • Paolo Liberatore

  • Affiliations:
  • Dipartimento di Informatica e Sistemistica, Università di Roma “La Sapienza”, via Salaria 113, 00198, Rome, Italy

  • Venue:
  • Artificial Intelligence
  • Year:
  • 2005

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Abstract

A knowledge base is redundant if it contains parts that can be inferred from the rest of it. We study some problems related to the redundancy of a CNF formula. In particular, any CNF formula can be made irredundant by deleting some of its clauses: what results is an irredundant equivalent subset. We study the complexity of problems related to irredundant equivalent subsets: verification, checking existence of an irredundant equivalent subset with a given size, checking necessary and possible presence of clauses in irredundant equivalent subsets, and uniqueness. We also consider the problem of redundancy with different definitions of equivalence.