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Terminological reasoning is inherently intractable. (English) Zbl 0717.68089
Summary: Computational tractability has been a major concern in the area of terminological knowledge representation and reasoning. However, all analyses of the computational complexity of terminological reasoning are based on the hidden assumption that subsumption in terminologies reduces to subsumption of concept descriptons without a significant increase in computational complexity. It will be shown that this assumption, which seems to work in the “normal case”, is nevertheless wrong. Subsumption in terminologies turns out to be co-NP-complete for a minimal terminological representation language that is a subset of every useful terminological language.
Reviewer: Reviewer (Berlin)

MSC:
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
68T30 Knowledge representation
68Q25 Analysis of algorithms and problem complexity
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