A Proof Theory for Description Logics

Nonfiction, Science & Nature, Mathematics, Logic, Computers, Database Management, Data Processing, General Computing
Cover of the book A Proof Theory for Description Logics by Alexandre Rademaker, Springer London
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Author: Alexandre Rademaker ISBN: 9781447140023
Publisher: Springer London Publication: May 17, 2012
Imprint: Springer Language: English
Author: Alexandre Rademaker
ISBN: 9781447140023
Publisher: Springer London
Publication: May 17, 2012
Imprint: Springer
Language: English

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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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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