Improving the Efficiency of Reasoning Through Structure-Based Reformulation

  • Authors:
  • Eyal Amir;Sheila A. McIlraith

  • Affiliations:
  • -;-

  • Venue:
  • SARA '02 Proceedings of the 4th International Symposium on Abstraction, Reformulation, and Approximation
  • Year:
  • 2000

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Abstract

We investigate the possibility of improving the efficiency of reasoning through structure-based partitioning of logical theories, combined with partition-based logical reasoning strategies. To this end, we provide algorithms for reasoning with partitions of axioms in first-order and propositional logic. We analyze the computational benefit of our algorithms and detect those parameters of a partitioning that influence the efficiency of computation. These parameters are the number of symbols shared by a pair of partitions, the size of each partition, and the topology of the partitioning. Finally, we provide a greedy algorithm that automatically reformulates a given theory into partitions, exploiting the parameters that influence the efficiency of computation.