Affiliation:
1. College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China
Abstract
This study proposes to adopt a novel tableau reasoning algorithm for the description logic𝒮ℋℐ𝒩with 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.