Abstract
Extracting justifications for web ontology language (OWL) ontologies is an important mission in ontology engineering. In this paper, we focus on black-box techniques which are based on ontology reasoners. Through creating a recursive expansion procedure, all elements which are called critical axioms in the justification are explored one by one. In this detection procedure, an axiom selection function is used to avoid testing irrelevant axioms. In addition, an incremental reasoning procedure has been proposed in order to substitute series of standard reasoning tests w.r.t. satisfiability. It is implemented by employing a pseudo model to detect “obvious” satisfiability directly. The experimental results show that our proposed strategy for extracting justifications for OWL ontologies by adopting incremental expansion is superior to traditional Black-box methods in terms of efficiency and performance.
Similar content being viewed by others
References
Schlobach S, Cornet R. Non-standard reasoning services for the debugging of description logic terminologies. In: Proceedings of the 18th International Joint Conference on Artificial Intelligence. 2003, 355–362
Kalyanpur A, Parsia B, Horridge M, Sirin E. Finding all justifications of OWL DL entailments. In: Proceedings of the 6th International the Semantic Web and 2nd Asian Conference on Asian Semantic Web Conference. 2007, 267–280
Schlobach S, Huang Z S, Cornet R, Harmelen F V. Debugging incoherent terminologies. Journal of Automated Reasoning, 2007, 39(3): 317–349.
Baader F, Penaloza R. Automata-based axiom pinpointing. Journal of Automated Reasoning, 2010, 45(2): 91–129
Ma Y, Penaloza R. Towards parallel repair: an ontology decomposition-based approach. In: Proceedings of the 27th International Workshop on Description Logics. 2014, 633–645
Teymourlouie M, Zaeri A, Nematbakhsh M A, Staab S. Detecting hidden errors in an ontology using contextual knowledge. Expert Systems with Applications, 2018, 95: 312–323
Xue H, Qin B, Liu T. Topic hierarchy construction from heterogeneous evidence. Frontiers of Computer Science, 2016, 10(1): 136–146
Wu L, Su K, Han Y. Reasoning about knowledge, belief and certainty in hierarchical multi-agent systems. Frontiers of Computer Science, 2017, 11(3): 499–510
Ouyang D, Cui X, Ye Y. Integrity constraints in OWL ontologies based on grounded circumscription. Frontiers of Computer Science, 2013, 7(6): 812–821
Zhang Y, Ouyang D, Ye Y. Glass box debugging algorithm based on unsatisfiable dependent paths. IEEE Access, 2017, 5: 18725–18736
Zhang Y, Ouyang D, Ye Y. An optimization strategy for debugging incoherent terminologies in dynamic environments. IEEE Access, 2017, 5: 24284–24300
Friedrich G, Shchekotykhin K M. A general diagnosis method for ontologies. In: Proceedings of the 4th International Conference on the Semantic Web. 2005, 232–246
Schlobach S. Diagnosing terminologies. In: Proceedings of the 20th National Conference on Artificial Intelligence. 2005, 670–675
Shchekotykhin K M, Friedrich G, Fleiss P, Rodler P. Interactive ontology debugging: two query strategies for efficient fault localization. Journal of Web Semantics, 2012, 12: 88–103
Jannach D, Schmitz T, Shchekotykhin K M. Parallel model-based diagnosis on multi-core computers. Journal of Artificial Intelligence Research, 2016, 55: 835–887
Horridge M, Bauer J, Parsia B, Sattler U. Understanding entailments in OWL. In: Proceedings of the 5th OWLED Workshop on OWL. 2008, 26–27
Bail S, Parsia B, Sattler U. Declutter your justifications: determining similarity between OWL explanations. In: Proceedings of the 1st International Workshop on Debugging Ontologies and Ontology Mappings. 2012, 13–24
Reiter R. A theory of diagnosis from first principles. Artificial Intelligence, 1987, 32: 57–95
Maaren H V, Wieringa S. Finding guaranteed MUSes fast. In: Proceedings of the 11th International Conferences on Theory and Applications of Satisfiability Testing. 2008, 291–304
Kullmann O, Lynce I, Marques J. Categorisation of clauses in conjunctive normal forms: minimally unsatisfiable sub-clause-sets and the lean kernel. In: Proceedings of the 9th International Conference of Theory and Applications of Satisfiability Testing. 2006, 22–35
Huang Z S, Harmelen F V, Teije A Y. Reasoning with inconsistent ontologies: framework, prototype, and experiment. In: Davies J, Studer R, Warren P, eds. Semantic Web Technologies: Trends and Research in Ontology-based Systems. Hoboken: John Wiley & Sons, Inc., 2006
Horrocks I. Implementation and optimisation techniques. In: Baader F, Calvanese D, McGuinness D, Nardi D, Schneider P F, eds. The Description Logic Handbook: Theory, Implementation, and Applications. 2nd ed. London: Cambridge University Press, 2007
Parsia B, Halaschek C, Sirin E. Towards incremental reasoning through updates in OWL-DL. In: Proceedings of the 15th International Conference of World Wide Web. 2006
Grau B C, Halaschek C, Kazakov Y, Suntisrivaraporn B. Incremental classification of description logics ontologies. Journal of Automated Reasoning, 2010, 44(4): 337–369
Horrocks I, Schneider P F. Reducing OWL entailment to description logic satisfiability. In: Proceedings of the 2nd International Conference on the Semantic Web. 2003, 17–29
Haarslev V, Moller R, Turhan A Y. Exploiting pseudo models for TBox and ABox reasoning in expressive description logics. In: Proceedings of International Joint Conference on Automated Reasoning. 2001, 61–75
Ji Q, Gao Z, Huang Z, Zhu M. Measuring effectiveness of ontology debugging systems. Knowledge-Based Systems, 2014, 71: 169–186
Acknowledgements
Research presented in this paper was partially supported by the National Natural Science Foundation of China (Grant Nos. 61672261, 61502199). It’s also funded by China Scholarship Council (201506175028) for the first author of this paper. We would like to be grateful to the partners in the laboratory who have given our generous support and helpful advice for this study. Specially, thanks are due to Assistant Professor Jiafeng Xie for assistance with the experiments and proofreading the manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Yuxin Ye received his PhD degree in computer software and theory from Jilin University, China in 2010. He is currently an associate professor in the College of Computer Science and Technology, Jilin University, China. He also serves on Key Laboratory of Symbolic Computation and Knowledge Engineering (Jilin University), Ministry of Education, China. He has more than 10 years of experience in Ontology Engineering and Semantic Web research and has more than 40 publications in these areas. He is a Member of China Computer Federation (CCF). His main research interests include semantic Web, ontology engineering, and knowledge graph.
Xianji Cui received her PhD degree in computer software and theory from Jilin University, China in 2014. She is currently a lecture in College of Information and Communication Engineering, Dalian Minzu University, China. Her main research interests include semantic Web and ontology engineering.
Dantong Ouyang received her PhD degree in computer software and theory from Jilin University, China in 1998. She is currently a professor and PhD supervisor in the College of Computer Science and Technology, Jilin University, China. She is a senior member of China Computer Federation (CCF). She also serves on some academic organizations, such as CCF TCAIPR, CCF TTCS, CAAI KE&DS, and so on. Her main research interests include artificial intelligence, automatic reasoning, model based diagnosis, constraint problem, and so on.
Electronic supplementary material
Rights and permissions
About this article
Cite this article
Ye, Y., Cui, X. & Ouyang, D. Extracting a justification for OWL ontologies by critical axioms. Front. Comput. Sci. 14, 144305 (2020). https://doi.org/10.1007/s11704-019-7267-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11704-019-7267-5