Model-equivalent reductions

  • Authors:
  • Xishun Zhao;Hans Kleine Büning

  • Affiliations:
  • Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, P.R. China;Department of Computer Science, Universität Paderborn, Paderborn, Germany

  • Venue:
  • SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
  • Year:
  • 2005

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Abstract

In this paper, the notions of polynomial–time model equivalent reduction and polynomial–space model equivalent reduction are introduced in order to investigate in a subtle way the expressive power of different theories. We compare according to these notions some classes of propositional formulas and quantified Boolean formulas. Our results show that classes of theories with the same complexity might have different representation strength under some conjectures which are widely believed to be true in computation complexity theory.