On the complexity of propositional knowledge base revision, updates, and counterfactuals

  • Authors:
  • Thomas Eiter;Georg Gottlob

  • Affiliations:
  • -;-

  • Venue:
  • PODS '92 Proceedings of the eleventh ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
  • Year:
  • 1992

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Abstract

We study the complexity of several recently proposed methods for updating or revising propositional knowledge bases. In particular, we derive complexity results for the following problem: given a knowledge base T, an update p, and a formula q, decide whether q is derivable from Top, the updated (or revised) knowledge base. This problem amounts to evaluating the counterfactual p q over T. Besides the general case, also subcases are considered, in particular where T is a conjunction of Horn clauses, or where the size of p is bounded by a constant.