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Optimised ExpTime Tableaux for over Finite Residuated Lattices

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  • Jian Huang
  • Xinye Zhao
  • Jianxing Gong

Abstract

This study proposes to adopt a novel tableau reasoning algorithm for the description logic with semantics based on a finite residuated De Morgan lattice. The syntax, semantics, and logical properties of this logic are given, and a sound, complete, and terminating tableaux algorithm for deciding fuzzy ABox consistency and concept satisfiability problem with respect to TBox is presented. Moreover, based on extended and/or completion-forest with a series of sound optimization technique for checking satisfiability with respect to a TBox in the logic, a new optimized ExpTime (complexity-optimal) tableau decision procedure is presented here. The experimental evaluation indicates that the optimization techniques we considered result in improved efficiency significantly.

Suggested Citation

  • Jian Huang & Xinye Zhao & Jianxing Gong, 2014. "Optimised ExpTime Tableaux for over Finite Residuated Lattices," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-15, April.
    • Handle: RePEc:hin:jnljam:702326
    DOI: 10.1155/2014/702326
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