A Proof Theory for Description Logics
Seiten
2012
Springer London Ltd (Verlag)
978-1-4471-4001-6 (ISBN)
Springer London Ltd (Verlag)
978-1-4471-4001-6 (ISBN)
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).
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.
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.
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.
| Reihe/Serie | SpringerBriefs in Computer Science |
|---|---|
| Zusatzinfo | 16 Illustrations, black and white; X, 106 p. 16 illus. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Schlagworte | Description Logics • Natural deduction • Proof theory • sequent calculus |
| ISBN-10 | 1-4471-4001-X / 144714001X |
| ISBN-13 | 978-1-4471-4001-6 / 9781447140016 |
| Zustand | Neuware |
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