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The Incredible ELK

From Polynomial Procedures to Efficient Reasoning with \(\mathcal {E} \mathcal {L}\) Ontologies

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Abstract

\(\mathcal {E} \mathcal {L}\) is a simple tractable Description Logic that features conjunctions and existential restrictions. Due to its favorable computational properties and relevance to existing ontologies, \(\mathcal {E} \mathcal {L}\) has become the language of choice for terminological reasoning in biomedical applications, and has formed the basis of the OWL EL profile of the Web ontology language OWL. This paper describes ELK—a high performance reasoner for OWL EL ontologies—and details various aspects from theory to implementation that make ELK one of the most competitive reasoning systems for \(\mathcal {E} \mathcal {L}\) ontologies available today.

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References

  1. Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison Wesley (1994)

  2. Amir, E., McIlraith, S.A.: Partition-based logical reasoning for first-order and propositional theories. Artif. Intell. 162(1–2), 49–88 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  3. Armas Romero, A., Cuenca Grau, B., Horrocks, I.: MORe: Modular combination of OWL reasoners for ontology classification. In: Cudré-Mauroux, P., Heflin, J., Sirin, E., Tudorache, T., Euzenat, J., Hauswirth, M., Parreira, J.X., Hendler, J., Schreiber, G., Bernstein, A., Blomqvist, E. (eds.) Proceedings of the 11th International Semantic Web Conference (ISWCŠ12), LNCS, vol. 7649, pp. 1–16. Springer (2012)

  4. Aslani, M., Haarslev, V.: Parallel TBox classification in description logics – first experimental results. In: Coelho, H., Studer, R., Wooldridge, M. (eds.) Proceedings of the 19th European Conference on Artificial Intelligence (ECAI’10), Frontiers in Artificial Intelligence and Applications, vol. 215, pp. 485–490. IOS Press (2010)

  5. Aslani, M., Haarslev, V.: Concurrent classification of OWL ontologies – an empirical evaluation. In: Kazakov, Y., Lembo, D., Wolter, F. (eds.) Proceedings of the 25th International Workshop on Description Logics (DL’12), CEUR Workshop Proceedings, vol 846, pp. 400–410. CEUR-WS.org (2012)

  6. Baader, F.: Terminological cycles in a description logic with existential restrictions. In: Gottlob, G., Walsh, T. (eds.) Proceedings of the 18th International Joint Conference on Artificial Intelligence (IJCAI’03), pp. 325–330. Morgan Kaufmann (2003)

  7. Baader, F., Borgwardt, S., Morawska, B.: Extending unification in \(\mathcal {EL}\) towards general TBoxes. In: Brewka, G., Eiter, T., McIlraith, S.A. (eds.) Proceedings of the 13th International Conference on Principles of Knowledge Representation and Reasoning (KR’12), pp. 568–572. AAAI Press (2012)

  8. Baader, F., Brandt, S., Lutz, C.: Pushing the \(\mathcal {EL}\) envelope. In: Kaelbling, L., Saffiotti, A. (eds.) Proceedings of the 19th International Joint Conference on Artificial Intelligence (IJCAI’05), pp. 364–369. Professional Book Center (2005)

  9. Baader, F., Brandt, S., Lutz, C.: Pushing the \(\mathcal {EL}\) envelope further. In: Clark, K.G., Patel-Schneider, P.F. (eds.) Proceedings in OWLED 2008 DC Workshop on OWL: Experiences and Directions, CEUR Workshop Proceedings, vol 496. CEUR-WS.org (2008)

  10. Baader, F., Calvanese, D., McGuinness, D., Nardi, D., Patel-Schneider, P. (eds.): The Description Logic Handbook, Theory, Implementation, and Applications, 2nd edn. Cambridge University Press (2007)

  11. Baader, F., Franconi, E., Hollunder, B., Nebel, B., Profitlich, H.J.: An empirical analysis of optimization techniques for terminological representation systems. Appl. Intell. 4(2), 109–132 (1994)

    Article  Google Scholar 

  12. Baader, F., Küsters, R., Molitor, R.: Computing least common subsumers in description logics with existential restrictions. In: Dean, T. (ed.) Proceedings of the 16th International Joint Conference on Artificial Intelligence (IJCAI’99), pp. 96–103. Morgan Kaufmann (1999)

  13. Baader, F., Lutz, C., Suntisrivaraporn, B.: Is tractable reasoning in extensions of the description logic \(\mathcal {EL}\) useful in practice? In: Proceedings of the 2005 international workshop on methods for modalities (M4M’05) (2005)

  14. Baader, F., Lutz, C., Suntisrivaraporn, B.: CEL—a polynomial-time reasoner for life science ontologies. In: Furbach, U., Shankar, N. (eds.) Proceedings of the 3rd International Joint Conference on Automated Reasoning (IJCAR’06), LNCS, vol 4130, pp. 287–291. Springer (2006)

  15. Baader, F., Lutz, C., Suntisrivaraporn, B.: Efficient reasoning in \(\mathcal {EL}^+\). In: Parsia, B., Sattler, U., Toman, D. (eds.) Proceedings of the 2006 International Workshop on Description Logics (DL’06), CEUR Workshop Proceedings, vol. 189. CEUR-WS.org (2006)

  16. Baader, F., Peñaloza, R.: Automata-based axiom pinpointing. J. Autom. Reason. 45(2), 91–129 (2010)

    Article  MATH  Google Scholar 

  17. Baader, F., Sertkaya, B., Turhan, A.Y.: Computing the least common subsumer w.r.t. a background terminology. J. Appl. Logics 5(3), 392–420 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  18. Bachmair, L., Ganzinger, H.: Resolution theorem proving. In: Robinson, J.A., Voronkov, A. (eds.) Handbook of Automated Reasoning, pp. 19–99. Elsevier and MIT Press (2001)

  19. Bergmann, F.W., Quantz, J.: Parallelizing description logics. In: Wachsmuth, I., Rollinger, C.R., Brauer, W. (eds.) Proceedings of the 19th Annual German Conference on Artificial Intelligence (KI’95), vol. 981, pp. 137–148. LNCS, Springer (1995)

  20. Bozzato, L., Homola, M., Serafini, L.: Towards more effective tableaux reasoning for CKR. In: Kazakov, Y., Lembo, D., Wolter, F. (eds.) Proceedings of the 25th International Workshop on Description Logics (DL’12), CEUR Workshop Proceedings, vol 846, pp. 114–124. CEUR-WS.org (2012)

  21. Brandt, S.: On subsumption and instance problem in \(\mathcal {ELH}\) w.r.t. general TBoxes. In: Haarslev, V., Möller, R. (eds.) Proceedings of the 2004 International Workshop on Description Logics (DL’04), CEUR Workshop Proceedings, vol 104. CEUR-WS.org (2004)

  22. Brandt, S.: Polynomial time reasoning in a description logic with existential restrictions, GCI axioms, and – What else? In: de Mántaras, R.L., Saitta, L. (eds.) Proceedings of the 16th European Conference on Artificial Intelligence (ECAI’04), pp. 298–302. IOS Press (2004)

  23. Brandt, S.: Standard and Non-standard Reasoning in Description Logics. Ph.D. thesis, Technische Universität Dresden, Germany (2006)

  24. Brickley, D., Guha, R.V. (eds.): RDF Vocabulary Description Language 1.0: RDF Schema. W3C Recommendation (10 February 2004). Available at http://www.w3.org/TR/rdf-schema/

  25. Calvanese, D., Giacomo, G.D., Lembo, D., Lenzerini, M., Rosati, R.: Tractable reasoning and efficient query answering in description logics: The DL-Lite family. J. Autom. Reason. 39(3), 385–429 (2007)

    Article  MATH  Google Scholar 

  26. Cuenca Grau, B., Halaschek-Wiener, C., Kazakov, Y., Suntisrivaraporn, B.: Incremental classification of description logics ontologies. J. Autom. Reason. 44(4), 337–369 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  27. Cuenca Grau, B., Horrocks, I., Kazakov, Y., Sattler, U.: Modular reuse of ontologies: Theory and practice. J. Artif. Intell. Res. 31, 273–318 (2008)

    MATH  MathSciNet  Google Scholar 

  28. Day-Richter, J. (ed.): The OBO Flat File Format Specification, version 1.2. The Gene Ontology Consortium. Available at http://www.geneontology.org/GO.format.obo-1_2.shtml (2006)

  29. Delaitre, V., Kazakov, Y.: Classifying \(\mathcal {ELH}\) ontologies in SQL databases. In: Patel-Schneider, P.F., Hoekstra, R. (eds.) Proceedings in OWLED 2009 Workshop on OWL: Experiences and Directions, CEUR Workshop Proceedings, vol. 529. CEUR-WS.org (2009)

  30. Dowling, W.F., Gallier, J.H.: Linear-time algorithms for testing the satisfiability of propositional Horn formulae. J. Logic Program. 1(3), 267–284 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  31. Eiter, T., Krennwallner, T., Schneider, P., Xiao, G.: Uniform evaluation of nonmonotonic DL-programs. In: Lukasiewicz, T., Sali, A. (eds.) Proceedings of the 7th International Symposium on Foundations of Information and Knowledge Systems (FoIKS’12), vol. 7153, pp. 1–22. LNCS, Springer (2012)

  32. Forgy, C.: Rete: A fast algorithm for the many pattern/many object pattern match problem. Artif. Intell. 19, 17–37 (1982)

    Article  Google Scholar 

  33. Gkoutos, G.V., Schofield, P.N., Hoehndorf, R.: Computational tools for comparative phenomics: The role and promise of ontologies. Mamm. Genome 23(9–10), 669–679 (2012)

    Article  Google Scholar 

  34. Glimm, B., Horrocks, I., Motik, B., Shearer, R., Stoilos, G.: A novel approach to ontology classification. J. Web Sem. 14, 84–101 (2012)

    Article  Google Scholar 

  35. Grimm, S., Watzke, M., Hubauer, T., Cescolini, F.: Embedded \(\mathcal {EL}^+\) reasoning on programmable logic controllers. In: Cudré-Mauroux, P., Heflin, J., Sirin, E., Tudorache, T., Euzenat, J., Hauswirth, M., Parreira, J.X., Hendler, J., Schreiber, G., Bernstein, A., Blomqvist, E. (eds.) Proceedings of the 11th International Semantic Web Conference (ISWC’12), vol 7649, pp. 66–81. LNCS, Springer (2012)

  36. Haarslev, V., Möller, R.: Racer system description. In: Goré, R., Leitsch, A., Nipkow, T. (eds.) Proceedings of the 1st International Joint Conference on Automated Reasoning (IJCAR’01), vol. 2083, pp. 701–705. LNCS, Springer (2001)

  37. Harris, M.A., Lock, A., Bühler, J., Oliver, S.G., Wood, V.: FYPO: The fission yeast phenotype ontology. Bioinforma. 29(13), 1671–1678 (2013)

    Article  Google Scholar 

  38. Heino, N., Pan, J.Z.: RDFS reasoning on massively parallel hardware. In: Cudré-Mauroux, P., Heflin, J., Sirin, E., Tudorache, T., Euzenat, J., Hauswirth, M., Parreira, J.X., Hendler, J., Schreiber, G., Bernstein, A., Blomqvist, E. (eds.) Proceedings of the 11th International Semantic Web Conference (ISWC’12), vol. 7649, pp. 133–148. LNCS, Springer (2012)

  39. Hoehndorf, R., Dumontier, M., Gkoutos, G.V.: Identifying aberrant pathways through integrated analysis of knowledge in pharmacogenomics. Bioinforma. 28(16), 2169–2175 (2012)

    Article  Google Scholar 

  40. Hoehndorf, R., Harris, M.A., Herre, H., Rustici, G., Gkoutos, G.V.: Semantic integration of physiology phenotypes with an application to the cellular phenotype ontology. Bioinforma. 28(13), 1783–1789 (2012)

    Article  Google Scholar 

  41. Hofmann, M.: Proof-theoretic approach to description-logic. In: Proceedings of the 20th Annual IEEE Symposium on Logic in Computer Science (LICS’05), pp. 229–237. IEEE Computer Society (2005)

  42. Hogan, A., Harth, A., Polleres, A.: Scalable authoritative OWL reasoning for the Web. Int. J. Semant. Web Inf. Syst. 5(2), 49–90 (2009)

    Article  Google Scholar 

  43. Hogan, A., Pan, J.Z., Polleres, A., Decker, S.: SAOR: template rule optimisations for distributed reasoning over 1 billion linked data triples. In: Patel-Schneider, P.F., Pan, Y., Glimm, B., Hitzler, P., Mika, P., Pan, J., Horrocks, I. (eds.) Proceedings of the 9th International Semantic Web Conference (ISWC’10), vol. 6496, pp. 337–353. LNCS, Springer (2010)

  44. Horridge, M., Bechhofer, S.: The OWL API: A Java API for working with OWL 2 ontologies. In: Patel-Schneider, P.F., Hoekstra, R. (eds.) Proceedings in OWLED 2009 Workshop on OWL: Experiences and Directions, vol. 529. CEUR Workshop Proceedings, CEUR-WS.org (2009)

  45. Horrocks, I., Kutz, O., Sattler, U.: The even more irresistible \(\mathcal {SROIQ}\). In: Doherty, P., Mylopoulos, J., Welty, C.A. (eds.) Proceedings of the 10th International Conference on Principles of Knowledge Representation and Reasoning (KR’06), pp. 57–67. AAAI Press (2006)

  46. Horrocks, I., Sattler, U., Tobies, S.: Practical reasoning for expressive description logics. In: Ganzinger, H., McAllester, D.A., Voronkov, A. (eds.) Proceedings of the 6th International Conference on Logic Programming and Automated Reasoning (LPAR’99), vol. 1705, pp. 161–180. LNCS, Springer (1999)

  47. ter Horst, H.J.: Completeness, decidability and complexity of entailment for RDF Schema and a semantic extension involving the OWL vocabulary. J. Web Semant. 3(2–3), 79–115 (2005)

    Article  Google Scholar 

  48. Jupp, S., Stevens, R., Hoehndorf, R.: Logical gene ontology annotations (GOAL): exploring gene ontology annotations with OWL. J. Biomed. Semant. 3(Suppl 1)(S3), 1–16 (2012)

    Google Scholar 

  49. Kalyanpur, A., Parsia, B., Horridge, M., Sirin, E.: Finding all justifications of OWL DL entailments. In: Aberer, K., Choi, K.S., Noy, N., Allemang, D., Lee, K.I., Nixon, L., Golbeck, J., Mika, P., Maynard, D., Mizoguchi, R., Schreiber, G., Cudré-Mauroux, P. (eds.) Proceedings of the 6th International Semantic Web Conference (ISWC’07), vol. 4825, pp. 267–280. LNCS, Springer (2007)

  50. Kazakov, Y.: \(\mathcal {RIQ}\) and \(\mathcal {SROIQ}\) are harder than \(\mathcal {SHOIQ}\). In: Brewka, G., Lang, J. (eds.) Proceedings of the 11th International Conference on Principles of Knowledge Representation and Reasoning (KR’08), pp. 274–284. AAAI Press (2008)

  51. Kazakov, Y.: Consequence-driven reasoning for Horn \(\mathcal {SHIQ}\) ontologies. In: Boutilier, C. (ed.) Proceedings of the 21st International Joint Conference on Artificial Intelligence (IJCAI’09), pp. 2040–2045. IJCAI (2009)

  52. Kazakov, Y., Klinov, P.: Incremental reasoning in OWL EL without bookkeeping. Int. Semant. Web Conf. 1, 232–247 (2013). doi:10.1007/978-3-642-41335-3_15

    Google Scholar 

  53. Kazakov, Y., Krötzsch, M., Simančík, F.: Concurrent classification of \(\mathcal {EL}\) ontologies. In: Aroyo, L., Welty, C., Alani, H., Taylor, J., Bernstein, A., Kagal, L., Noy, N., Blomqvist, E. (eds.) Proceedings of the 10th International Semantic Web Conference (ISWC’11), vol. 7032, pp. 305–320. LNCS, Springer (2011)

  54. Kazakov, Y., Krötzsch, M., Simančík, F.: Unchain my \(\mathcal {EL}\) reasoner. In: Rosati, R., Rudolph, S., Zakharyaschev, M. (eds.) Proceedings of the 24th International Workshop on Description Logics (DL’11), vol. 745, pp. 202–212. CEUR Workshop Proceedings, CEUR-WS.org (2011)

  55. Kazakov, Y., Krötzsch, M., Simančík, F.: ELK reasoner: architecture and evaluation. In: Horrocks, I., Yatskevich, M., Jimenez-Ruiz, E. (eds.) Proceedings of the OWL Reasoner Evaluation Workshop 2012 (ORE’12), vol. 858. CEUR Workshop Proceedings, CEUR-WS.org (2012)

  56. Kazakov, Y., Krötzsch, M., Simančík, F.: Practical reasoning with nominals in the \(\mathcal {EL}\) family of description logics. In: Brewka, G., Eiter, T., McIlraith, S.A. (eds.) Proceedings of the 13th International Conference on Principles of Knowledge Representation and Reasoning (KR’12), pp. 264–274. AAAI Press (2012)

  57. Knublauch, H., Fergerson, R.W., Noy, N.F., Musen, M.A.: The Protégé OWL Plugin: an open development environment for Semantic Web applications. In: McIlraith, S.A., Plexousakis, D., van Harmelen, F. (eds.) Proceedings of the 3rd International Semantic Web Conference (ISWC’04), vol. 3298, pp. 229–243. LNCS, Springer (2004)

  58. Kontchakov, R., Lutz, C., Toman, D., Wolter, F., Zakharyaschev, M.: The combined approach to ontology-based data access. In: Walsh, T. (ed.) Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI’11), pp. 2656–2661. AAAI Press/IJCAI (2011)

  59. Kotoulas, S., Oren, E., van Harmelen, F.: Mind the data skew: distributed inferencing by speeddating in elastic regions. In: Proceedings in 19th international conference on world wide web (WWW’10), pp. 531–540. WWW’10, ACM (2010)

  60. Krötzsch, M.: Efficient rule-based inferencing for OWL EL. In: Walsh, T. (ed.) Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI’11), pp. 2668–2673. AAAI Press/IJCAI (2011)

  61. Krötzsch, M.: The not-so-easy task of computing class subsumptions in OWL RL. In: Cudré-Mauroux, P., Heflin, J., Sirin, E., Tudorache, T., Euzenat, J., Hauswirth, M., Parreira, J.X., Hendler, J., Schreiber, G., Bernstein, A., Blomqvist, E. (eds.) Proceedings of the 11th International Semantic Web Conference (ISWC’12), vol. 7649, pp. 279–294. LNCS, Springer (2012)

  62. Krötzsch, M.: OWL 2 Profiles: an introduction to lightweight ontology languages. In: Eiter, T., Krennwallner, T. (eds.) Proceedings of the 8th Reasoning Web Summer School, Vienna, Austria, September 3–8 2012, vol. 7487, pp. 112–183. LNCS, Springer (2012)

  63. Krötzsch, M., Mehdi, A., Rudolph, S.: Orel: Database-driven reasoning for OWL 2 profiles. In: Haarslev, V., Toman, D., Weddell, G. (eds.) Proceedings of the 23rd International Workshop on Description Logics (DL’10), vol. 573, pp. 114–124. CEUR Workshop Proceedings, CEUR-WS.org (2010)

  64. Krötzsch, M., Rudolph, S., Hitzler, P.: Conjunctive queries for a tractable fragment of OWL 1.1. In: Aberer, K., Choi, K.S., Noy, N., Allemang, D., Lee, K.I., Nixon, L., Golbeck, J., Mika, P., Maynard, D., Mizoguchi, R., Schreiber, G., Cudré-Mauroux, P. (eds.) Proceedings of the 6th International Semantic Web Conference (ISWC’07), vol. 4825, pp. 310–323. LNCS, Springer (2007)

  65. Krötzsch, M., Simančík, F., Horrocks, I.: A description logic primer. CoRR abs/1201.4089 (2012)

  66. Lawley, M.J., Bousquet, C.: Fast classification in Protégé: Snorocket as an OWL 2 EL reasoner. In: Taylor, K., Meyer, T., Orgun, M. (eds.) Proceedings of the 6th Australasian Ontology Workshop (IAOA’10), vol. 122, pp. 45–49. Conferences in Research and Practice in Information Technology, Australian Computer Society Inc (2010)

  67. Liebig, T., Müller, F.: Parallelizing tableaux-based description logic reasoning. In: Meersman, R., Tari, Z., Herrero, P. (eds.) Proceedings of OTM workshops 2007, Part II, vol. 4806, pp. 1135–1144. LNCS, Springer (2007)

  68. Lusk, E.L., McCune, W., Slaney, J.K.: Roo: a parallel theorem prover. In: Kapur, D. (ed.) Proceedings of the 11th Conference on Automated Deduction (CADE’92), vol. 607, pp. 731–734. LNCS, Springer (1992)

  69. Magka, D., Kazakov, Y., Horrocks, I.: Tractable extensions of the description logic \(\mathcal {EL}\) with numerical datatypes. J. Autom. Reason. 47(4), 427–450 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  70. Meissner, A.: Experimental analysis of some computation rules in a simple parallel reasoning system for the \(\mathcal {ALC}\) description logic. Int. J. Appl. Math. Comput. Sci. 21(1), 83–95 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  71. Mendez, J.: jcel: a modular rule-based reasoner. In: Horrocks, I., Yatskevich, M., Jimenez-Ruiz, E. (eds.) Proceedings of the OWL Reasoner Evaluation Workshop 2012 (ORE’12), vol. 858. CEUR Workshop Proceedings, CEUR-WS.org (2012)

  72. Mendez, J., Ecke, A., Turhan, A.Y.: Implementing completion-based inferences for the \(\mathcal {EL}\)-family. In: Rosati, R., Rudolph, S., Zakharyaschev, M. (eds.) Proceedings of the 24th International Workshop on Description Logics (DL’11), vol. 745, pp. 34–344. CEUR Workshop Proceedings, CEUR-WS.org (2011)

  73. Mendez, J., Suntisrivaraporn, B.: Reintroducing CEL as an OWL 2 EL reasoner. In: Grau, B.C., Horrocks, I., Motik, B., Sattler, U. (eds.) Proceedings of the 22nd International Workshop on Description Logics (DL’09), vol. 477. CEUR Workshop Proceedings, CEUR-WS.org (2009)

  74. Möller, R., Haarslev, V., Wandelt, S.: The revival of structural subsumption in tableau-based reasoners. In: Baader, F., Lutz, C., Motik, B. (eds.) Proceedings of the 21st International Workshop on Description logics (DL’08), vol. 353. CEUR Workshop Proceedings, CEUR-WS.org (2008)

  75. Motik, B., Cuenca Grau, B., Horrocks, I., Wu, Z., Fokoue, A., Lutz, C. (eds.): OWL 2 Web Ontology Language: Profiles. W3C Recommendation (27 October 2009). Available at http://www.w3.org/TR/owl2-profiles/

  76. Motik, B., Shearer, R., Horrocks, I.: Hypertableau reasoning for description logics. J. Artif. Intell. Res. 36, 165–228 (2009)

    MATH  MathSciNet  Google Scholar 

  77. Mutharaju, R., Maier, F., Hitzler, P.: A MapReduce algorithm for \(\mathcal {EL}^+\). In: Haarslev, V., Toman, D., Weddell, G. (eds.) Proceedings of the 23rd International Workshop on Description Logics (DL’10), vol. 573, pp. 464–474. CEUR Workshop proceedings, CEUR-WS.org (2010)

  78. Narayanan, S., Çatalyürek, Ü.V., Kurç, T.M., Saltz, J.H.: Parallel materialization of large ABoxes. In: Shin, S.Y., Ossowski, S. (eds.) Proceedings of the ACM Symposium on Applied Computing (SAC’09), pp. 1257–1261. ACM (2009)

  79. Nikitina, N., Rudolph, S.: ExpExpExplosion: uniform interpolation in general \(\mathcal {EL}\) terminologies. In: Raedt, L.D., Bessière, C., Dubois, D., Doherty, P., Frasconi, P., Heintz, F., Lucas, P.J.F. (eds.) Proceedings of the 20th European Conference on Artificial Intelligence (ECAI’12), vol. 242, pp. 618–623. Frontiers in Artificial Intelligence and Applications, IOS Press (2012)

  80. Ortiz, M., Rudolph, S., Simkus, M.: Worst-case optimal reasoning for the Horn-DL fragments of OWL 1 and 2. In: Lin, F., Sattler, U., Truszczynski, M. (eds.) Proceedings of the 12th International Conference on Principles of Knowledge Representation and Reasoning (KR’10), pp. 269–279. AAAI Press (2010)

  81. Osumi-Sutherland, D., Reeve, S., Mungall, C.J., Neuhaus, F., Ruttenberg, A., Jefferis, G.S.X.E., Armstrong, J.D.: A strategy for building neuroanatomy ontologies. Bioinforma. 28(9), 1262–1269 (2012)

    Article  Google Scholar 

  82. OWL Working Group, W.: OWL 2 web ontology language: document overview. W3C Recommendation (27 October 2009). Available at http://www.w3.org/TR/owl2-overview/

  83. Peñaloza, R., Sertkaya, B.: On the complexity of axiom pinpointing in the \(\mathcal {EL}\) family of description logics. In: Lin, F., Sattler, U., Truszczynski, M. (eds.) Proceedings of the 12th International Conference on Principles of Knowledge Representation and Reasoning (KR’10), pp. 280–289. AAAI Press (2010)

  84. Rector, A., Gangemi, A., Galeazzi, E., Glowinski, A.J., Rossi-Mori, A.: The GALEN CORE model schemata for anatomy: towards a re-usable application-independent model of medical concepts. In: Barahona, P., Veloso, M., Bryant, J. (eds.) Proceedings of the 12th International Congress of the European Federation for Medical Informatics (MIE’94), pp. 229–233 (1994)

  85. Rector, A., Iannone, L.: Lexically suggest, logically define: quality assurance of the use of qualifiers and expected results of post-coordination in SNOMED CT. J. Biomed. Inform. 45, 199–209 (2012)

    Article  Google Scholar 

  86. Rector, A.L., Bechhofer, S., Goble, C.A., Horrocks, I., Nowlan, W.A., Solomon, W.D.: The grail concept modelling language for medical terminology. Artif. Intell. Med. 9(2), 139–171 (1997)

    Article  Google Scholar 

  87. Rogers, J.E.: Quality assurance of medical ontologies. Methods Inf. Med. 45(3), 267–274 (2006)

    Google Scholar 

  88. Rudolph, S., Krötzsch, M., Hitzler, P.: Cheap Boolean role constructors for description logics. In: Hölldobler, S., Lutz, C., Wansing, H. (eds.) Proceedings of the 11th European Conference on Logics in Artificial Intelligence (JELIA’08), vol. 5293, pp. 362–374. LNAI, Springer (2008)

  89. Schlicht, A., Stuckenschmidt, H.: Peer-to-peer reasoning for interlinked ontologies. Int. J. Semant. Comput. 4(1), 27–58 (2010)

    Article  MATH  Google Scholar 

  90. Schlicht, A., Stuckenschmidt, H.: MapResolve. In: Rudolph, S., Gutierrez, C. (eds.) Proceedings of the 5th International Conference on Web Reasoning and Rule Systems (RR’11), vol. 6902, pp. 294–299. LNCS, Springer (2011)

  91. Schlobach, S., Huang, Z., Cornet, R., van Harmelen, F.: Debugging incoherent terminologies. J. Autom. Reason. 39(3), 317–349 (2007)

    Article  MATH  Google Scholar 

  92. Schulz, S., Cornet, R., Spackman, K.A.: Consolidating SNOMED CT’s ontological commitment. Appl. Ontol. 6(1), 1–11 (2011)

    Google Scholar 

  93. Seitz, C., Schönfelder, R.: Rule-based OWL reasoning for specific embedded devices. In: Aroyo, L., Welty, C., Alani, H., Taylor, J., Bernstein, A., Kagal, L., Noy, N., Blomqvist, E. (eds.) Proceedings of the 10th International Semantic Web Conference (ISWC’11), vol. 7032, pp. 237–252. LNCS, Springer (2011)

  94. Sertkaya, B.: In the search of improvements to the \(\mathcal {EL}^+\) classification algorithm. In: Rosati, R., Rudolph, S., Zakharyaschev, M. (eds.) Proceedings of the 24th International Workshop on Description Logics (DL’11), vol. 745, pp. 389–399. CEUR Workshop Proceedings, CEUR-WS.org (2011)

  95. Simančík, F., Kazakov, Y., Horrocks, I.: Consequence-based reasoning beyond Horn ontologies. In: Walsh, T. (ed.) Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI’11), pp. 1093–1098. AAAI Press/IJCAI (2011)

  96. Sirin, E., Parsia, B., Grau, B.C., Kalyanpur, A., Katz, Y.: Pellet: a practical OWL-DL reasoner. J. Web Semant. 5(2), 51–53 (2007)

    Article  Google Scholar 

  97. Smith, B., Ashburner, M., Rosse, C., Bard, J., Bug, W., Ceusters, W., Goldberg, L.J., Eilbeck, K., Ireland, A., Mungall, C.J., Consortium, T.O., Leontis, N., Rocca-Serra, P., Ruttenberg, A., Sansone, S.A., Scheuermann, R.H., Shah, N., Whetzeland, P.L., Lewis, S.: The OBO Foundry: coordinated evolution of ontologies to support biomedical data integration. Nat. Biotechnol. 25, 1251–1255 (2007)

    Article  Google Scholar 

  98. Soma, R., Prasanna, V.K.: Parallel inferencing for OWL knowledge bases. In: Proceedings of the International Conference on Parallel Processing (ICPP’08), pp. 75–82. IEEE Computer Society (2008)

  99. Suntisrivaraporn, B.: Polynomial-time reasoning support for design and maintenance of large-scale biomedical ontologies. Ph.D. thesis. Technische Universität Dresden, Germany (2009)

    Google Scholar 

  100. Tai, W., Keeney, J., O’Sullivan, D.: COROR: a composable rule-entailment OWL reasoner for resource-constrained devices. In: Bassiliades, N., Governatori, G., Paschke, A. (eds.) Proceedings of the 5th International Conference on Rule-Based Reasoning, Programming, and Applications (RuleML Europe’11), vol. 6826, pp. 212–226. LNCS, Springer (2011)

  101. The Gene Ontology Consortium: Gene ontology annotations and resources. Nucleic Acids Res (2012)

  102. Thomas, E., Pan, J.Z., Ren, Y.: TrOWL: Tractable OWL 2 reasoning infrastructure. In: Aroyo, L., Antoniou, G., Hyvönen, E., ten Teije, A., Stuckenschmidt, H., Cabral, L., Tudorache, T. (eds.) Proceedings of the 7th Extended Semantic Web Conference (ESWC’10), vol. 6089, pp. 431–435. LNCS, Springer (2010)

  103. Tsarkov, D., Horrocks, I.: FaCT++ description logic reasoner: system description. In: Furbach, U., Shankar, N. (eds.) Proceedings of the 3rd International Joint Conference on Automated Reasoning (IJCAR’06), vol. 4130, pp. 292–297. LNCS, Springer (2006)

  104. Tsarkov, D., Horrocks, I., Patel-Schneider, P.F.: Optimizing terminological reasoning for expressive description logics. J. Autom. Reason. 39(3), 277–316 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  105. Tsarkov, D., Palmisano, I.: Chainsaw: a metareasoner for large ontologies. In: Horrocks, I., Yatskevich, M., Jimenez-Ruiz, E. (eds.) Proceedings of the OWL Reasoner Evaluation Workshop 2012 (ORE’12), vol. 858. CEUR Workshop Proceedings, CEUR-WS.org (2012)

  106. Urbani, J., Kotoulas, S., Maassen, J., van Harmelen, F., Bal, H.: WebPIE: a Web-scale parallel inference engine using MapReduce. J. Web Semant., 59–75 (2012)

  107. Urbani, J., Kotoulas, S., Oren, E., van Harmelen, F.: Scalable distributed reasoning using MapReduce. In: Bernstein, A., Karger, D.R., Heath, T., Feigenbaum, L., Maynard, D., Motta, E., Thirunarayan, K. (eds.) Proceedings of the 8th International Semantic Web Conference (ISWC’09), vol. 5823, pp. 634–649. LNCS, Springer (2009)

  108. Weaver, J., Hendler, J.A.: Parallel materialization of the finite RDFS closure for hundreds of millions of triples. In: Bernstein, A., Karger, D.R., Heath, T., Feigenbaum, L., Maynard, D., Motta, E., Thirunarayan, K. (eds.) Proceedings of the 8th International Semantic Web Conference (ISWC’09), vol. 5823, pp. 682–697. LNCS, Springer (2009)

  109. Wos, L., Overbeek, R., Lusk, E., Boyle, J.: Automated reasoning: introduction and applications, 2nd edn. McGraw-Hill Inc., New York (1992)

    MATH  Google Scholar 

  110. Wu, K., Haarslev, V.: A parallel reasoner for the description logic \(\mathcal {ALC}\). In: Kazakov, Y., Lembo, D., Wolter, F. (eds.) Proceedings of the 25th International Workshop on Description Logics (DL’12), vol. 846, pp. 378–388. CEUR Workshop Proceedings, CEUR-WS.org (2012)

  111. Xiang, Z., Mungall, C., Ruttenberg, A., He, Y.: Ontobee: a linked data server and browser for ontology terms. In: International Conference on Biomedical Ontologies (ICBO), pp. 279–281 (2011)

  112. Xiao, G., Heymans, S., Eiter, T.: DReW: a reasoner for Datalog-rewritable description logics and dl-programs. In: Eiter, T., Ghali, A.E., Fernández, S., Heymans, S., Krennwallner, T., Lévy, F. (eds.) Proceedings of the 1st International Workshop on Business models, Business Rules and Ontologies (BuRO’10), pp. 1–14. ONTORULE Project (2010)

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  1. Institute of Artificial Intelligence, University of Ulm, Ulm, Germany

    Yevgeny Kazakov

  2. Department of Computer Science, University of Oxford, Oxford, UK

    Markus Krötzsch & František Simančík

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Kazakov, Y., Krötzsch, M. & Simančík, F. The Incredible ELK. J Autom Reasoning 53, 1–61 (2014). https://doi.org/10.1007/s10817-013-9296-3

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