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Comparing \(\mathrm{ SC} _{\mathcal{ ALC} }\) with Other \(\mathcal{ ALC} \) Deduction Systems

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A Proof Theory for Description Logics

Part of the book series: SpringerBriefs in Computer Science ((BRIEFSCOMPUTER))

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Abstract

The structural subsumption algorithm is restricted to a quite inexpressive language. Simple Tableaux based algorithms generally fails to provide short proofs. On the other hand, the latter has a useful property, it returns a counter-model from an unsuccessful proof. A counter-model, that is, an interpretation that falsifies the premise, is a quite useful object to a knowledge-base engineer. In this chapter we compare our \(\mathrm{ SC} _{\mathcal{ ALC} }\) system with the structural subsumption algorithm and the Tableaux algorithm for \(\mathcal{ ALC} \).

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References

  1. Baader, F.: The Description Logic Handbook: Theory, Implementation, and Applications. Cambridge University Press, Cambridge (2003)

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Rademaker, A. (2012). Comparing \(\mathrm{ SC} _{\mathcal{ ALC} }\) with Other \(\mathcal{ ALC} \) Deduction Systems. In: A Proof Theory for Description Logics. SpringerBriefs in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-4002-3_4

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  • DOI: https://doi.org/10.1007/978-1-4471-4002-3_4

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4001-6

  • Online ISBN: 978-1-4471-4002-3

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