On Unit-Refutation Complete Formulae with Existentially Quantified Variables

  • Lucas Bordeaux ,
  • Mikolas Janota ,
  • Joao Marques-Silva ,
  • Pierre Marquis

Principles of Knowledge Representation and Reasoning (KR 2012) |

Published by Association for the Advancement of Artificial Intelligence

We analyze, along the lines of the knowledge compilation map, both the tractability and the succinctness of the propositional language URC-C of unit-refutation complete propositional formulae, as well as its disjunctive closure URC-C[OR; EXISTS], and a superset of URC-C where variables can be existentially quantified and unit-refutation completeness concerns only consequences built up from free variables.