Skip to main content

Hybrid Reasoning with Rules and Ontologies

  • Chapter
Semantic Techniques for the Web

Abstract

The purpose of this chapter is to report on work that has been done in the REWERSE project concerning hybrid reasoning with rules and ontologies. Two major streams of work have been pursued within REWERSE. They start from the predominant semantics of non-monotonic rules in logic programming. The one stream was an extension of non-monotonic logic programs under answer set semantics, with query interfaces to external knowledge sources. The other stream, in the spirit of the \(\mathcal{AL}\)-log approach of enhanced deductive databases, was an extension of Datalog (with the well-founded semantics, which is predominant in the database area). The former stream led to so-called non-monotonic dl-programs and hex-programs, and the latter stream to hybrid well-founded semantics. Further variants and derivations of the formalisms (like a well-founded semantics for dl-programs, respecting probabilistic knowledge, priorities, etc.) have been conceived.

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. Analyti, A., Antoniou, G., Damásio, C.V., Wagner, G.: Stable model theory for extended RDF ontologies. In: Gil, Y., Motta, E., Benjamins, V.R., Musen, M.A. (eds.) ISWC 2005. LNCS, vol. 3729, pp. 21–36. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  2. Antoniou, G., Maher, M., Billington, D.: Defeasible Logic versus Logic Programming. Journal of Logic Programming 41(1), 45–57 (2000)

    MATH  Google Scholar 

  3. Antoniou, G., Bikakis, A.: DR-Prolog: A system for defeasible reasoning with rules and ontologies on the Semantic Web. IEEE Trans. Knowl. Data Eng. 19(2), 233–245 (2007)

    Article  Google Scholar 

  4. Antoniou, G., Damásio, C.V., Grosof, B., Horrocks, I., Kifer, M., Maluszynski, J., Patel-Schneider, P.F.: Combining rules and ontologies. A survey. FP6 NoE REWERSE, Deliverable I3-D3, http://rewerse.net/deliverables/m12/i3-d3.pdf

  5. Apt, K.R., Bol, R.N.: Logic programming and negation: A survey. J. Log. Program. 19(20), 9–71 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  6. Baader, F., Brandt, S., Lutz, C.: Pushing the \(\mathcal{EL}\) envelope. In: Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence, IJCAI 2005, Edinburgh, UK. Morgan-Kaufmann Publishers, San Francisco (2005)

    Google Scholar 

  7. Baader, F., Brandt, S., Lutz, C.: Pushing the \(\mathcal{EL}\) envelope further. In: Clark, K., Patel-Schneider, P.F. (eds.) Proceedings of the OWLED 2008 DC Workshop on OWL: Experiences and Directions (2008)

    Google Scholar 

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

    MATH  Google Scholar 

  9. Baader, F., Hollunder, B.: Embedding Defaults into Terminological Knowledge Representation Formalisms. Journal of Automated Reasoning 14(1), 149–180 (1995)

    Article  MathSciNet  Google Scholar 

  10. Baral, C.: Knowledge Representation, Reasoning and Declarative Problem Solving. Cambridge University Press, Cambridge (2003)

    Book  MATH  Google Scholar 

  11. Baral, C., Gelfond, M.: Logic Programming and Knowledge Representation. Journal of Logic Programming 19(20), 73–148 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  12. Boley, H., Kifer, M. (eds.): RIF Basic Logic Dialect, W3C Working Draft (July 2008), http://www.w3.org/TR/2008/WD-rif-bld-20080730/

  13. Boley, H., Kifer, M., Pătrânjan, P.L., Polleres, A.: Rule interchange on the web. In: Antoniou, G., Aßmann, U., Baroglio, C., Decker, S., Henze, N., Patranjan, P.-L., Tolksdorf, R. (eds.) Reasoning Web 2007. LNCS, vol. 4636, pp. 269–309. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Bonatti, P., Baselice, S.: Composing normal programs with function symbols. In: Garcia de la Banda, M., Pontelli, E. (eds.) ICLP 2008. LNCS, vol. 5366, pp. 425–439. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  15. Bonatti, P.A.: Reasoning with infinite stable models. Artificial Intelligence 156(1), 75–111 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  16. Bonatti, P.A., Eiter, T., Faella, M.: Advanced Policy Queries. REWERSE Deliverable I2-D6, Dipartimento di Scienze Fisiche - Sezione di Informatica, University of Naples “Federico II” (2006)

    Google Scholar 

  17. Buccafurri, F., Leone, N., Rullo, P.: Strong and Weak Constraints in Disjunctive Datalog. In: Dix, J., Furbach, U., Nerode, A. (eds.) LPNMR 1997. LNCS (LNAI), vol. 1265, pp. 2–17. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  18. Calì, A., Lukasiewicz, T.: Tightly integrated probabilistic description logic programs for the Semantic Web. In: Dahl, V., Niemelä, I. (eds.) ICLP 2007. LNCS, vol. 4670, pp. 428–429. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  19. Calì, A., Lukasiewicz, T.: An approach to probabilistic data integration for the Semantic Web. In: da Costa, P.C.G., d’Amato, C., Fanizzi, N., Laskey, K.B., Laskey, K.J., Lukasiewicz, T., Nickles, M., Pool, M. (eds.) URSW 2005 - 2007. LNCS, vol. 5327, pp. 52–65. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  20. Calì, A., Lukasiewicz, T., Predoiu, L., Stuckenschmidt, H.: Rule-based approaches for representing probabilistic ontology mappings. In: da Costa, P.C.G., d’Amato, C., Fanizzi, N., Laskey, K.B., Laskey, K.J., Lukasiewicz, T., Nickles, M., Pool, M. (eds.) URSW 2005 - 2007. LNCS, vol. 5327, pp. 66–87. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  21. Calì, A., Lukasiewicz, T., Predoiu, L., Stuckenschmidt, H.: Tightly integrated probabilistic description logic programs for representing ontology mappings. In: Hartmann, S., Kern-Isberner, G. (eds.) FoIKS 2008. LNCS, vol. 4932, pp. 178–198. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  22. Calì, A., Lukasiewicz, T., Predoiu, L., Stuckenschmidt, H.: Tightly coupled probabilistic description logic programs for the Semantic Web. In: Journal on Data Semantics XII (2009)

    Google Scholar 

  23. Calimeri, F., Cozza, S., Ianni, G.: External sources of knowledge and value invention in logic programming. Annals of Mathematics and Artificial Intelligence 50(3-4), 333–361 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  24. Calimeri, F., Cozza, S., Ianni, G., Leone, N.: Computable functions in ASP: Theory and implementation. In: de La Banda, M., Pontelli, E. (eds.) ICLP 2008. LNCS, vol. 5366, pp. 407–424. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  26. Chen, W., Kifer, M., Warren, D.S.: Hilog: A foundation for higher-order logic programming. Journal of Logic Programming 15(3), 187–230 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  27. Clark, K.L.: Negation as failure. In: Gallaire, H., Minker, J. (eds.) Logic and Databases, pp. 293–322. Plenum Press (1978)

    Google Scholar 

  28. Dao-Tran, M., Eiter, T., Krennwallner, T.: Realizing Default Logic over Description Logic Knowledge Bases. In: Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2009). Springer, Heidelberg (to appear, 2009)

    Google Scholar 

  29. de Bruijn, J., Eiter, T., Polleres, A., Tompits, H.: Embedding non-ground logic programs into autoepistemic logic for knowledge-base combination. In: Veloso, M.M. (ed.) IJCAI, pp. 304–309 (2007)

    Google Scholar 

  30. de Bruijn, J., Eiter, T., Tompits, H.: Embedding approaches to combining rules and ontologies into autoepistemic logic. In: Brewka, G., Lang, J. (eds.) Proceedings of the Eleventh International Conference on Principles of Knowledge Representation and Reasoning (KR 2008), pp. 485–495. AAAI Press, Menlo Park (2008)

    Google Scholar 

  31. de Bruijn, J., Pearce, D., Polleres, A., Valverde, A.: Quantified Equilibrium Logic and Hybrid Rules. In: Marchiori, M., Pan, J.Z., Marie, C.d.S. (eds.) RR 2007. LNCS, vol. 4524, pp. 58–72. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  32. Dean, M., Schreiber, G., Bechhofer, S., van Harmelen, F., Hendler, J., Horrocks, I., McGuinness, D.L., Patel-Schneider, P.F., Stein, L.A.: OWL Web Ontology Language Reference, W3C Recommendation (February 2004)

    Google Scholar 

  33. Donini, F., Lenzerini, M., Nardi, D., Schaerf, A.: AL-Log: Integrating Datalog and description logics. Intelligent Information Systems 10(3), 227–252 (1998)

    Article  MATH  Google Scholar 

  34. Drabent, W.: SLS-resolution without floundering. In: Pereira, L.M., Nerode, A. (eds.) Proc. 2nd International Workshop on Logic Programming and Non-Monotonic Reasoning, pp. 82–98. MIT Press, Cambridge (1993)

    Google Scholar 

  35. Drabent, W.: What is failure? An approach to constructive negation. Acta Informatica 32(1), 27–59 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  36. Drabent, W., Maluszynski, J.: Hybrid Rules with Well-Founded Semantics. Preliminarily accepted to Knowledge and Information Systems (2009)

    Google Scholar 

  37. Drabent, W., Henriksson, J., Maluszynski, J.: HD-rules: A hybrid system interfacing Prolog with DL-reasoners. In: Proceedings of the ICLP 2007 Workshop on Applications of Logic Programming to the Web, Semantic Web and Semantic Web Services (ALPSWS 2007). CEUR Workshop Proceedings, vol. 287 (2007), http://www.ceur-ws.org/Vol-287

  38. Drabent, W., Henriksson, J., Maluszynski, J.: Hybrid reasoning with rules and constraints under well-founded semantics. In: Marchiori, M., Pan, J.Z., de Sainte Marie, C. (eds.) RR 2007. LNCS, vol. 4524, pp. 348–357. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  39. Drabent, W., Małuszyński, J.: Well-founded Semantics for Hybrid Rules. In: Marchiori, M., Pan, J.Z., de Sainte Marie, C. (eds.) RR 2007. LNCS, vol. 4524, pp. 1–15. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  40. Eiter, T., Ianni, G., Krennwallner, T., Polleres, A.: Rules and Ontologies for the Semantic Web. In: Baroglio, C., Bonatti, P.A., Maluszynski, J., Marchiori, M., Polleres, A., Schaffert, S. (eds.) Reasoning Web. LNCS, vol. 5224, pp. 1–53. Springer, Heidelberg (2008), Slides available at: http://rease.semanticweb.org/

    Chapter  Google Scholar 

  41. Eiter, T., Ianni, G., Krennwallner, T., Schindlauer, R.: Exploiting conjunctive queries in description logic programs. Annals of Mathematics and Artificial Intelligence (2009); published online 27 January 2009, doi:10.1007/s10472-009-9111-3. Also available as Tech. Rep. INFSYS RR-1843-08-02, Inst. of Information Systems, TU Vienna

    Google Scholar 

  42. Eiter, T., Ianni, G., Lukasiewicz, T., Schindlauer, R.: Well-founded semantics for description logic programs in the Semantic Web. Technical Report INFSYS RR-1843-09-01, Institut für Informationssysteme, Technische Universität Wien, A-1040 Vienna, Austria (March 2009)

    Google Scholar 

  43. Eiter, T., Ianni, G., Lukasiewicz, T., Schindlauer, R., Tompits, H.: Combining answer set programminag with description logics for the Semantic Web. Artificial Intelligence 172(12-13), 1495–1539 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  44. Eiter, T., Ianni, G., Schindlauer, R., Tompits, H.: A Uniform Integration of Higher-Order Reasoning and External Evaluations in Answer Set Programming. In: International Joint Conference on Artificial Intelligence (IJCAI 2005), Edinburgh, UK, August 2005, pp. 90–96 (2005)

    Google Scholar 

  45. Eiter, T., Ianni, G., Schindlauer, R., Tompits, H.: Effective integration of declarative rules with external evaluations for semantic-web reasoning. In: Sure, Y., Domingue, J. (eds.) ESWC 2006. LNCS, vol. 4011, pp. 273–287. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  46. Eiter, T., Lukasiewicz, T., Schindlauer, R., Tompits, H.: Combining answer set programming with description logics for the Semantic Web. In: Dubois, D., Welty, C., Williams, M.A. (eds.) Proceedings Ninth International Conference on Principles of Knowledge Representation and Reasoning (KR 2004), Whistler, British Columbia, Canada, June 2-5, pp. 141–151. Morgan Kaufmann, San Francisco (2004)

    Google Scholar 

  47. Eiter, T., Lukasiewicz, T., Schindlauer, R., Tompits, H.: Well-founded semantics for description logic programs in the Semantic Web. In: Antoniou, G., Boley, H. (eds.) RuleML 2004. LNCS, vol. 3323, pp. 81–97. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  48. Faber, W., Pfeifer, G., Leone, N., Dell’Armi, T., Ielpa, G.: Design and Implementation of Aggregate Functions in the DLV System. Theory and Practice of Logic Programming 8(5-6), 545–580 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  49. Ferrand, G., Deransart, P.: Proof method of partial correctness and weak completeness for normal logic programs. J. Log. Program. 17(2/3&4), 265–278 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  50. Gelfond, M., Lifschitz, V.: The stable model semantics for logic programming. In: Kowalski, R.A., Bowen, K. (eds.) Proceedings of the Fifth International Conference on Logic Programming, pp. 1070–1080. MIT Press, Cambridge (1988)

    Google Scholar 

  51. Gelfond, M., Lifschitz, V.: The Stable Model Semantics for Logic Programming. In: Logic Programming: Proceedings Fifth Intl. Conference and Symposium, pp. 1070–1080. MIT Press, Cambridge (1988)

    Google Scholar 

  52. Gelfond, M., Lifschitz, V.: Classical Negation in Logic Programs and Disjunctive Databases. New Generation Computing 9, 365–385 (1991)

    Article  MATH  Google Scholar 

  53. Grosof, B., Horrocks, I., Volz, R., Decker, S.: Description Logic Programs: Combining Logic Programs with Description Logic. In: Proceedings of 12th International Conference on the World Wide Web (2003)

    Google Scholar 

  54. Grosof, B.N.: Prioritized Conflict Handling for Logic Programs. In: Małuszyński, J. (ed.) Logic Programming, Proceedings of the 1997 International Symposium, pp. 197–211. MIT Press, Cambridge (1997)

    Google Scholar 

  55. Gruber, T.R.: A Translation Approach to Portable Ontology Specifications. Knowledge Acquisition 5(2), 199–220 (1993)

    Article  Google Scholar 

  56. Herre, H., Jaspars, J., Wagner, G.: Partial logics with two kinds of negation as a foundation for knowledge-based reasoning. In: Gabbay, D., Wansing, H. (eds.) What is Negation?, pp. 121–159. Kluwer Academic Publishers, Dordrecht (1999)

    Chapter  Google Scholar 

  57. Heymans, S., de Bruijn, J., Predoiu, L., Feier, C., Van Nieuwenborgh, D.: Guarded hybrid knowledge bases. TPLP 8(3), 411–429 (2008)

    MathSciNet  MATH  Google Scholar 

  58. Heymans, S., Toma, I.: Ranking services using fuzzy hex-programs. In: Calvanese, D., Lausen, G. (eds.) RR 2008. LNCS, vol. 5341, pp. 181–196. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  59. Hoehndorf, R., Loebe, F., Kelso, J., Herre, H.: Representing default knowledge in biomedical ontologies: Application to the integration of anatomy and phenotype ontologies. BMC Bioinformatics 8(1), 377 (2007)

    Article  Google Scholar 

  60. Horrocks, I., Kutz, O., Sattler, U.: The even more irresistible \(\mathcal{SROIQ}\). In: Proceedings of the 10th International Conference of Knowledge Representation and Reasoning (KR 2006), pp. 57–67 (2006)

    Google Scholar 

  61. Kifer, M.: Rules and Ontologies in F-Logic. In: Eisinger, N., Małuszyński, J. (eds.) Reasoning Web. LNCS, vol. 3564, pp. 22–34. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  62. Kifer, M., Lausen, G., Wu, J.: Logical foundations of object-oriented and frame-based languages. J. ACM 42(4), 741–843 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  63. Knorr, M., Alferes, J.J., Hitzler, P.: A Well-founded Semantics for Hybrid MKNF Knowledge Bases. In: DL 2007, 20th Int. Workshop on Description Logics, pp. 347–354. Bozen-Bolzano University Press (2007)

    Google Scholar 

  64. Knorr, M., Alferes, J.J., Hitzler, P.: A coherent well-founded model for hybrid mknf knowledge bases. In: Ghallab, M., Spyropoulos, C.D., Fakotakis, N., Avouris, N.M. (eds.) ECAI. Frontiers in Artificial Intelligence and Applications, vol. 178, pp. 99–103. IOS Press, Amsterdam (2008)

    Google Scholar 

  65. Konolige, K.: Quantification in autoepistemic logic. Fundam. Inform. 15(3-4), 275–300 (1991)

    MathSciNet  MATH  Google Scholar 

  66. Krötzsch, M., Rudolph, S., Hitzler, P.: Description logic rules. In: Ghallab, M., Spyropoulos, C.D., Fakotakis, N., Avouris, N.M. (eds.) ECAI 2008 - 18th European Conference on Artificial Intelligence, Patras, Greece, July 21-25. Frontiers in Artificial Intelligence and Applications, vol. 178, pp. 80–84. IOS Press, Amsterdam (2008)

    Google Scholar 

  67. Krötzsch, M., Rudolph, S., Hitzler, P.: Elp: Tractable rules for OWL 2. In: Sheth, A.P., Staab, S., Dean, M., Paolucci, M., Maynard, D., Finin, T., Thirunarayan, K. (eds.) ISWC 2008. LNCS, vol. 5318, pp. 649–664. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  68. Levy, A., Rousset, M.: CARIN: A representation language combining Horn rules and description logics. Artificial Intelligence 104(1-2), 165–209 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  69. Lifschitz, V.: Nonmonotonic databases and epistemic queries. In: Proceedings IJCAI 1991, pp. 381–386 (1991)

    Google Scholar 

  70. Lloyd, J.W.: Foundations of logic programming, Second extended edn. Springer series in symbolic computation. Springer, New York (1987)

    Book  MATH  Google Scholar 

  71. Lukasiewicz, T.: Probabilistic description logic programs. In: Godo, L. (ed.) ECSQARU 2005. LNCS, vol. 3571, pp. 737–749. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  72. Lukasiewicz, T.: Fuzzy description logic programs under the answer set semantics for the Semantic Web. In: Proceedings RuleML 2006, pp. 89–96. IEEE Computer Society, Los Alamitos (2006)

    Google Scholar 

  73. Lukasiewicz, T.: A novel combination of answer set programming with description logics for the Semantic Web. In: Franconi, E., Kifer, M., May, W. (eds.) ESWC 2007. LNCS, vol. 4519, pp. 384–398. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  74. Lukasiewicz, T.: Probabilistic description logic programs. Int. J. Approx. Reasoning 45(2), 288–307 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  75. Lukasiewicz, T.: Tractable probabilistic description logic programs. In: Prade, H., Subrahmanian, V.S. (eds.) SUM 2007. LNCS, vol. 4772, pp. 143–156. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  76. Lukasiewicz, T.: Fuzzy description logic programs under the answer set semantics for the Semantic Web. Fundam. Inform. 82(3), 289–310 (2008)

    MathSciNet  MATH  Google Scholar 

  77. Lukasiewicz, T., Straccia, U.: Description logic programs under probabilistic uncertainty and fuzzy vagueness. In: Mellouli, K. (ed.) ECSQARU 2007. LNCS, vol. 4724, pp. 187–198. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  78. Lukasiewicz, T., Straccia, U.: Tightly integrated fuzzy description logic programs under the answer set semantics for the Semantic Web. In: Marchiori, M., Pan, J.Z., Marie, C.d.S. (eds.) RR 2007. LNCS, vol. 4524, pp. 289–298. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  79. Lukasiewicz, T., Straccia, U.: Top-k retrieval in description logic programs under vagueness for the Semantic Web. In: Prade, H., Subrahmanian, V.S. (eds.) SUM 2007. LNCS, vol. 4772, pp. 16–30. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  80. Lukasiewicz, T., Straccia, U.: Tightly coupled fuzzy description logic programs under the answer set semantics for the Semantic Web. Int. J. Semantic Web Inf. Syst. 4(3), 68–89 (2008)

    Article  Google Scholar 

  81. Małuszyński, J.: Integration of Rules Ontologies. In: Liu, L., Özsu, M.T. (eds.) Encyclopedia of Database Systems. Springer, Heidelberg (2009)

    Google Scholar 

  82. Marin, D.: A formalization of RDF. Technical Report TR/DCC-2006-8, TR Dept. Computer Science, Universidad de Chile (2006)

    Google Scholar 

  83. Marriott, K., Stuckey, P.J., Wallace, M.: Constraint logic programming. In: Handbook of Constraint Programming. Elsevier, Amsterdam (2006)

    Google Scholar 

  84. Miller, L., Brickley, D.: The Friend of a Friend (FOAF) Project (since 2000), http://www.foaf-project.org/

  85. Motik, B., Rosati, R.: A faithful integration of description logics with logic programming. In: IJCAI 2007, Proceedings of the 20th International Joint Conference on Artificial Intelligence, pp. 477–482 (2007)

    Google Scholar 

  86. Motik, B., Sattler, U., Studer, R.: Query answering for OWL-DL with rules. J. Web Sem. 3(1), 41–60 (2005)

    Article  Google Scholar 

  87. Motik, B., Rosati, R.: Closing semantic web ontologies. Technical report, University of Manchester (2006) (version March 7, 2007), http://web.comlab.ox.ac.uk/people/Boris.Motik/pubs/mr06closing-report.pdf

  88. Van Nieuwenborgh, D., De Cock, M., Vermeir, D.: Computing Fuzzy Answer Sets Using dlvhex. In: Dahl, V., Niemelä, I. (eds.) ICLP 2007. LNCS, vol. 4670, pp. 449–450. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  89. Van Nieuwenborgh, D., Eiter, T., Vermeir, D.: Conditional Planning with External Functions. In: Baral, C., Brewka, G., Schlipf, J. (eds.) LPNMR 2007. LNCS, vol. 4483, pp. 214–227. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  90. Nilsson, U., Małuszyński, J.: Logic, Programming and Prolog, 2nd edn. John Wiley and Sons, Chichester (1995), http://www.ida.liu.se/~ulfni/lpp/

    MATH  Google Scholar 

  91. Patel-Schneider, P.F., Hayes, P., Horrocks, I.: OWL Web Ontology Language Semantics and Abstract Syntax, W3C Recommendation (February 2004)

    Google Scholar 

  92. Poggi, A., Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Linking data to ontologies. Journal of Data Semantics X, 133–173 (2008)

    MATH  Google Scholar 

  93. Przymusinski, T.C.: On the declarative and procedural semantics of logic programs. Journal of Automated Reasoning 5, 167–205 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  94. Reiter, R.: On Closed World Data Bases. In: Gallaire, H., Minker, J. (eds.) Logic and Data Bases, pp. 55–76. Plenum Press, New York (1978)

    Chapter  Google Scholar 

  95. Reiter, R.: A Logic for Default Reasoning. Artificial Intelligence 13(1-2), 81–132 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  96. Rosati, R.: On the decidability and complexity of integrating ontologies and rules. Journal of Web Semantics 3(1), 61–73 (2005)

    Article  Google Scholar 

  97. Rosati, R.: \({\cal DL}\)+log: Tight integration of Description Logics and disjunctive Datalog. In: Doherty, P., Mylopoulos, J., Welty, C.A. (eds.) KR, pp. 68–78. AAAI Press, Menlo Park (2006)

    Google Scholar 

  98. Ross, K.A.: Modular stratification and magic sets for datalog programs with negation. J. ACM 41(6), 1216–1266 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  99. Schindlauer, R.: Answer-Set Programming for the Semantic Web. PhD thesis, Vienna University of Technology, Austria (December 2006)

    Google Scholar 

  100. Simkus, M., Eiter, T.: FDNC: Decidable non-monotonic disjunctive logic programs with function symbols. In: Dershowitz, N., Voronkov, A. (eds.) LPAR 2007. LNCS, vol. 4790, pp. 514–530. Springer, Heidelberg (2007); Full paper to appear in ACM TOCL

    Chapter  Google Scholar 

  101. Sintek, M., Decker, S.: TRIPLE - A Query, Inference, and Transformation Language for the Semantic Web. In: Horrocks, I., Hendler, J. (eds.) ISWC 2002. LNCS, vol. 2342, p. 364. Springer, Heidelberg (2002), http://triple.semanticweb.org/

    Chapter  Google Scholar 

  102. van Gelder, A., Ross, K.A., Schlipf, J.S.: Unfounded Sets and Well-founded Semantics for General Logic Programs. In: Principles of Database Systems, pp. 221–230. ACM, New York (1988)

    Google Scholar 

  103. Van Gelder, A., Ross, K.A., Schlipf, J.S.: The Well-Founded Semantics for General Logic Programs. Journal of the ACM 38(3), 620–650 (1991)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Drabent, W., Eiter, T., Ianni, G., Krennwallner, T., Lukasiewicz, T., Małuszyński, J. (2009). Hybrid Reasoning with Rules and Ontologies. In: Bry, F., Małuszyński, J. (eds) Semantic Techniques for the Web. Lecture Notes in Computer Science, vol 5500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04581-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04581-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04580-6

  • Online ISBN: 978-3-642-04581-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics