Reasoning on expressive description logics with arithmetic constraints

@article{Brcenas2016ReasoningOE,
  title={Reasoning on expressive description logics with arithmetic constraints},
  author={E. B{\'a}rcenas and G. Molero and Gabriela S{\'a}nchez and E. Ben{\'i}tez-Guerrero and Carmen Mezura-Godoy},
  journal={2016 International Conference on Electronics, Communications and Computers (CONIELECOMP)},
  year={2016},
  pages={180-185}
}
Description logics (DL) is a well-known knowledge representation formalism. DL have been applied as reasoning framework in diverse domains, including the Semantic Web and Context-Aware Systems. It is an open question whether or not the expressive description logic ALCQIOreg is decidable. This logic is equipped with negation, conjunction, regular roles, inverse roles, nominals and qualified number restrictions. In this paper, we show this logic is decidable when interpreted over tree models… Expand
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