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|a Rademaker, Alexandre.
|e author.
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|a A Proof Theory for Description Logics
|h [electronic resource] /
|c by Alexandre Rademaker.
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|a 1st ed. 2012.
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| 264 |
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|a London :
|b Springer London :
|b Imprint: Springer,
|c 2012.
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|a Introduction -- Background -- Sequent Calculus for ALC -- Comparing SCalc with other ALC Deduction Systems -- Natural Deduction for ALC.- A Proof Theory for ALCQI -- Proofs and Explanations -- A Prototype Theorem Prover -- Conclusion.
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| 520 |
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|a Description Logics (DLs) is a family of formalisms used to represent knowledge of a domain. They are equipped with a formal logic-based semantics. Knowledge representation systems based on description logics provide various inference capabilities that deduce implicit knowledge from the explicitly represented knowledge. A Proof Theory for Description Logics introduces Sequent Calculi and Natural Deduction for some DLs (ALC, ALCQ). Cut-elimination and Normalization are proved for the calculi. The author argues that such systems can improve the extraction of computational content from DLs proofs for explanation purposes.
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|a Mathematical logic.
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