Skip to main content

System Description: E-KRHyper 1.4

Extensions for Unique Names and Description Logic

  • Conference paper
Book cover Automated Deduction – CADE-24 (CADE 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7898))

Included in the following conference series:

Abstract

Formal ontologies may go beyond first-order logic (FOL) in their expressivity, hindering the usage of common automated theorem provers (ATP) for ontology reasoning. The Unique Name Assumption (UNA) is an extension to FOL that is valuable for ontology specification, allowing the definition of distinct objects. Likewise, the Description Logic \(\mathcal{SHIQ}\) is a popular language for knowledge representation (KR). This system description provides details on the extension of the prover E-KRHyper by the ability to handle both the UNA and \(\mathcal{SHIQ}\). This ATP was developed for embedding in KR applications and hence already equipped with special features and extensions to FOL, making it natural to add the new capabilities in E-KRHyper version 1.4. We report on the theory, the implementation and also the evaluation results of the new features.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Apt, K.R., Blair, H.A., Walker, A.: Towards a theory of declarative knowledge. In: Minker, J. (ed.) Foundations of Deductive Databases and Logic Programming, pp. 89–148. Morgan Kaufmann Publishers Inc., San Francisco (1988)

    Google Scholar 

  2. Armando, A., Bonacina, M.P., Ranise, S., Schulz, S.: New results on rewrite-based satisfiability procedures. ACM Trans. Comput. Log. (2009)

    Google Scholar 

  3. Baaz, M., Fermüller, C.G.: Resolution-based theorem proving for manyvalued logics. J. Symb. Comput. (1995)

    Google Scholar 

  4. Bachmair, L., Ganzinger, H.: Equational reasoning in saturation-based theorem proving. In: Bibel, W., Schmitt, P.H. (eds.) Automated Deduction — A Basis for Applications. Kluwer (1998)

    Google Scholar 

  5. Baumgartner, P., Burchardt, A.: Logic programming infrastructure for inferences on frameNet. In: Alferes, J.J., Leite, J. (eds.) JELIA 2004. LNCS (LNAI), vol. 3229, pp. 591–603. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Baumgartner, P., Furbach, U.: Living books, automated deduction and other strange things. In: Hutter, D., Stephan, W. (eds.) Mechanizing Mathematical Reasoning. LNCS (LNAI), vol. 2605, pp. 249–267. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Baumgartner, P., Furbach, U., Gross-Hardt, M., Kleemann, T.: Model based deduction for database schema reasoning. In: Biundo, S., Frühwirth, T., Palm, G. (eds.) KI 2004. LNCS (LNAI), vol. 3238, pp. 168–182. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Baumgartner, P., Furbach, U., Gross-Hardt, M., Kleemann, T., Wernhard, C.: KRHyper inside - model based deduction in applications. Fachberichte informatik, Universität Koblenz-Landau (2003)

    Google Scholar 

  9. Baumgartner, P., Furbach, U., Groß-Hardt, M., Sinner, A.: Living book - deduction, slicing, and interaction. J. Autom. Reason (2004)

    Google Scholar 

  10. Baumgartner, P., Furbach, U., Koblenz, U.: PROTEIN: A PROver with a Theory Extension INterface. In: CADE-12, Proc. Springer, Heidelberg (1994)

    Google Scholar 

  11. Baumgartner, P., Furbach, U., Niemelä, I.: Hyper tableaux. In: Orłowska, E., Alferes, J.J., Moniz Pereira, L. (eds.) JELIA 1996. LNCS, vol. 1126, pp. 1–17. Springer, Heidelberg (1996)

    Google Scholar 

  12. Baumgartner, P., Furbach, U., Pelzer, B.: Hyper tableaux with equality. In: Pfenning, F. (ed.) CADE 2007. LNCS (LNAI), vol. 4603, pp. 492–507. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Baumgartner, P., Mediratta, A.: Improving stable models-based planning by bidirectional search. In: International Conference on Knowledge Based Computer Systems (KBCS) (December 2004)

    Google Scholar 

  14. Baumgartner, P., Suchanek, F.M.: Automated Reasoning Support for First-Order Ontologies. In: Alferes, J.J., Bailey, J., May, W., Schwertel, U. (eds.) PPSWR 2006. LNCS, vol. 4187, pp. 18–32. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Bender, M.: E-hyper tableaux with distinct object identifiers. Arbeitsberichte aus dem Fachbereich Informatik 01/2013, Universität Koblenz-Landau (2013), http://www.uni-koblenz.de/FB4/Publications/Reports

  16. Faßbender, D.: DLE-hyper tableau calculus. Diplomarbeit, University of Koblenz-Landau (February 2012)

    Google Scholar 

  17. Furbach, U., Glöckner, I., Helbig, H., Pelzer, B.: Loganswer - a deduction-based question answering system (System description). In: Armando, A., Baumgartner, P., Dowek, G. (eds.) IJCAR 2008. LNCS (LNAI), vol. 5195, pp. 139–146. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  18. Furbach, U., Glöckner, I., Helbig, H., Pelzer, B.: Logic-based question answering. In: KI (2010)

    Google Scholar 

  19. Furbach, U., Glöckner, I., Pelzer, B.: An application of automated reasoning in natural language question answering. In: AI Commun. (2010) (PAAR Special Issue)

    Google Scholar 

  20. Ganzinger, H., Sofronie-Stokkermans, V.: Chaining techniques for automated theorem proving in many-valued logics. In: Proc. ISMVL 2000. IEEE Computer Society (2000)

    Google Scholar 

  21. Hoder, K., Voronkov, A.: Sine qua non for large theory reasoning. In: Bjørner, N., Sofronie-Stokkermans, V. (eds.) CADE 2011. LNCS, vol. 6803, pp. 299–314. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. Horrocks, I.: Header Benchmarks (2009-2013), http://hermit-reasoner.com/2009/JAIR_benchmarks/ (accessed January 9, 2013)

  23. Horrocks, I., Fensel, D., Broekstra, J., Decker, S., Erdmann, M., Goble, C., van Harmelen, F., Klein, M., Staab, S., Studer, R., Motta, E.: Oil: The ontology inference layer. Technical report, Vrije Universiteit Amsterdam, Faculty of Sciences (September 2000), http://www.ontoknowledge.org/oil/

  24. INRIA. Objective Caml (OCaml) programming language website, http://ocaml.org/

  25. McCune, W.: OTTER 3.3 Reference Manual. Argonne National Laboratory (2003)

    Google Scholar 

  26. Mossakowski, T., Maeder, C., Lüttich, K.: The heterogeneous tool set (hets). In: Beckert, B. (ed.) VERIFY. CEUR Workshop Proceedings, vol. 259. CEUR-WS.org (2007)

    Google Scholar 

  27. Motik, B., Shearer, R., Horrocks, I.: Optimized reasoning in description logics using hypertableaux. In: Pfenning, F. (ed.) CADE 2007. LNCS (LNAI), vol. 4603, pp. 67–83. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  28. Parsia, B., Sirin, E.: Pellet: An owl dl reasoner. In: 3rd International Semantic Web Conference (ISWC 2004) (2004)

    Google Scholar 

  29. Pelzer, B.: Project website of E-KRHyper (2007-2013), http://userp.uni-koblenz.de/~bpelzer/ekrhyper/ (accessed January 21, 2013)

  30. Pelzer, B., Glöckner, I.: Combining theorem proving with natural language processing. In: Proceedings of the First International Workshop on Practical Aspects of Automated Reasoning (PAAR-2008/ESHOL-2008), Sydney, Australia, August 10-11. CEUR Workshop Proceedings (2008)

    Google Scholar 

  31. Pelzer, B., Wernhard, C.: System description: E- kRHyper. In: Pfenning, F. (ed.) CADE 2007. LNCS (LNAI), vol. 4603, pp. 508–513. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  32. Riazanov, A., Voronkov, A.: The design and implementation of vampire. AI Commun. (2002)

    Google Scholar 

  33. Schulz, S.: E - a brainiac theorem prover. AI Commun. (2002)

    Google Scholar 

  34. Schulz, S., Bonacina, M.P.: On handling distinct objects in the superposition calculus. In: Konev, B., Schulz, S. (eds.) Proc. IWIL (2005)

    Google Scholar 

  35. Schwitter, R.: Anaphora resolution involving interactive knowledge acquisition. In: Fuchs, N.E. (ed.) CNL 2009. LNCS, vol. 5972, pp. 36–55. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  36. Sinner, A., Kleemann, T.: KRHyper - In Your Pocket. In: Nieuwenhuis, R. (ed.) CADE 2005. LNCS (LNAI), vol. 3632, pp. 452–457. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  37. Sutcliffe, G.: The TPTP website (2004-2013), http://www.tptp.org (accessed January 21, 2013)

  38. Sutcliffe, G.: The TPTP problem library and associated infrastructure: The FOF and CNF parts, v3.5.0. J. Autom. Reason. (2009)

    Google Scholar 

  39. Wernhard, C.: System description: KRHyper. Fachberichte informatik, Universität Koblenz-Landau (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bender, M., Pelzer, B., Schon, C. (2013). System Description: E-KRHyper 1.4. In: Bonacina, M.P. (eds) Automated Deduction – CADE-24. CADE 2013. Lecture Notes in Computer Science(), vol 7898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38574-2_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38574-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38573-5

  • Online ISBN: 978-3-642-38574-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics