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Local and Distributed Defeasible Reasoning in Multi-Context Systems

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Book cover Rule Representation, Interchange and Reasoning on the Web (RuleML 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5321))

Abstract

Multi-Context Systems (MCS) are logical formalizations of distributed context theories connected through a set of mapping rules, which enable information flow between different contexts. Reasoning in MCS introduces many challenges that arise from the heterogeneity of contexts with respect to the language and inference system that they use, and from the potential conflicts that may arise from the interaction of context theories through the mappings. This study proposes a P2P rule-based reasoning model for MCS, which handles (a) incomplete or inconsistent local context information, by representing contexts as local theories of Defeasible Logic and performing local defeasible reasoning, and (b) global inconsistencies that result from the integration of local contexts, by representing mappings as defeasible rules and performing some type of distributed defeasible reasoning. It also provides a distributed algorithm for query evaluation, analyzes its formal properties, and illustrates its use in a Semantic Web use case scenario.

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References

  1. McCarthy, J.: Generality in Artificial Intelligence. Communications of the ACM 30(12), 1030–1035 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. Buvac, S., Mason, I.A.: Propositional Logic of Context. In: AAAI, pp. 412–419 (1993)

    Google Scholar 

  3. McCarthy, J., Buvač, S.: Formalizing Context (Expanded Notes). In: Aliseda, A., van Glabbeek, R., Westerståhl, D. (eds.) Computing Natural Language, pp. 13–50. CSLI Publications, Stanford (1998)

    Google Scholar 

  4. Giunchiglia, F., Serafini, L.: Multilanguage hierarchical logics, or: how we can do without modal logics. Artificial Intelligence 65(1), 29–70 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ghidini, C., Giunchiglia, F.: Local Models Semantics, or contextual reasoning=locality+compatibility. Artificial Intelligence 127(2), 221–259 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Roelofsen, F., Serafini, L.: Minimal and Absent Information in Contexts. In: IJCAI, pp. 558–563 (2005)

    Google Scholar 

  7. Brewka, G., Roelofsen, F., Serafini, L.: Contextual Default Reasoning. In: IJCAI, pp. 268–273 (2007)

    Google Scholar 

  8. Bernstein, P.A., Giunchiglia, F., Kementsietsidis, A., Mylopoulos, J., Serafini, L., Zaihrayeu, I.: Data Management for Peer-to-Peer Computing: A Vision. In: WebDB, pp. 89–94 (2002)

    Google Scholar 

  9. Halevy, A.Y., Ives, Z.G., Suciu, D., Tatarinov, I.: Schema Mediation in Peer Data Management Systems. In: ICDE, pp. 505–516 (2003)

    Google Scholar 

  10. Calvanese, D., De Giacomo, G., Lenzerini, M., Rosati, R.: Logical Foundations of Peer-To-Peer Data Integration, pp. 241–251. ACM, New York (2004)

    Google Scholar 

  11. Franconi, E., Kuper, G.M., Lopatenko, A., Serafini, L.: A Robust Logical and Computational Characterisation of Peer-to-Peer Database Systems. In: DBISP2P, pp. 64–76 (2003)

    Google Scholar 

  12. Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Inconsistency Tolerance in P2P Data Integration: an Epistemic Logic Approach. In: Bierman, G., Koch, C. (eds.) DBPL 2005. LNCS, vol. 3774, pp. 90–105. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  13. Chatalic, P., Nguyen, G.H., Rousset, M.C.: Reasoning with Inconsistencies in Propositional Peer-to-Peer Inference Systems. In: ECAI, pp. 352–356 (2006)

    Google Scholar 

  14. Benerecetti, M., Bouquet, P., Ghidini, C.: Contextual reasoning distilled. JETAI 12(3), 279–305 (2000)

    MATH  Google Scholar 

  15. Bikakis, A.: Distributed Reasoning with Conflicts in a Peer-to-Peer Setting (2008), http://www.csd.uoc.gr/~bikakis/P2PDR.pdf

  16. Antoniou, G., Billington, D., Governatori, G., Maher, M.J.: Representation results for defeasible logic. ACM Transactions on Computational Logic 2(2), 255–287 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  17. Governatori, G., Maher, M.J., Billington, D., Antoniou, G.: Argumentation Semantics for Defeasible Logics. Journal of Logic and Computation 14(5), 675–702 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  18. Maher, M.J.: A Model-Theoretic Semantics for Defeasible Logic. In: Paraconsistent Computational Logic, pp. 67–80 (2002)

    Google Scholar 

  19. Antoniou, G., Billington, D., Governatori, G., Maher, M.J.: Embedding defeasible logic into logic programming. Theory Pract. Log. Program. 6(6), 703–735 (2006)

    Article  MathSciNet  MATH  Google Scholar 

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Bikakis, A., Antoniou, G. (2008). Local and Distributed Defeasible Reasoning in Multi-Context Systems. In: Bassiliades, N., Governatori, G., Paschke, A. (eds) Rule Representation, Interchange and Reasoning on the Web. RuleML 2008. Lecture Notes in Computer Science, vol 5321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88808-6_16

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  • DOI: https://doi.org/10.1007/978-3-540-88808-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88807-9

  • Online ISBN: 978-3-540-88808-6

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