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SCIENCE CHINA Information Sciences, Volume 60, Issue 11: 112103(2017) https://doi.org/10.1007/s11432-015-9050-6

Contrary description logic: Gentzen deduction system

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  • ReceivedJan 10, 2017
  • AcceptedFeb 21, 2017
  • PublishedAug 23, 2017

Abstract

Traditional description logics are based on complementary rather than contrary concepts.This work proposes a contrary description logic based on the contrary concept constructors $\sim, \lhd$ (instead of $\lnot$).A Gentzen-type deduction system is applied to make the system sound and complete with the three-valued semantics of contrary description logic.


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