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Progress in Automating Higher-Order Ontology Reasoning

11 pagesPublished: May 16, 2012


We report on the application of higher-order automated theorem proving in ontology reasoning. Concretely, we have integrated the Sigma knowledge engineering environment and the Suggested Upper-Level Ontology SUMO with the higher-order theorem prover LEO-II. The basis for this integration is a translation from SUMO representations into the new typed higher-order form representation language TPTP THF. We illustrate the benefits of our integration with examples, report on experiments and analyze open challenges.

Keyphrases: application in ontology reasoning, Boolean extensionality and modalities, higher-order theorem proving

In: Renate A. Schmidt, Stephan Schulz and Boris Konev (editors). PAAR-2010: Proceedings of the 2nd Workshop on Practical Aspects of Automated Reasoning, vol 9, pages 22--32

BibTeX entry
  author    = {Christoph Benzm\textbackslash{}"uller and Adam Pease},
  title     = {Progress in Automating Higher-Order Ontology Reasoning},
  booktitle = {PAAR-2010: Proceedings of the 2nd Workshop on Practical Aspects of Automated Reasoning},
  editor    = {Renate A. Schmidt and Stephan Schulz and Boris Konev},
  series    = {EPiC Series in Computing},
  volume    = {9},
  pages     = {22--32},
  year      = {2012},
  publisher = {EasyChair},
  bibsource = {EasyChair,},
  issn      = {2398-7340},
  url       = {},
  doi       = {10.29007/dtnz}}
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