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A Proof Theory for Description Logics

  • Book
  • © 2012

Overview

  • Provides an innovative approach for reasoning with description logic theories
  • Presents future practical applications of description logic proof theories
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (9 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Applied Mathematics School, Fundação Getúlio Vargas, Rio de Janeiro, Brazil

    Alexandre Rademaker

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