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A Context-Based Logic for Distributed Knowledge Representation and Reasoning

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1688))

Abstract

This paper is concerned with providing a logic, called Distributed First Order Logic (DFOL), for the formalization of distributed knowledge representation and reasoning systems. In such systems knowledge is contained in a set of heterogeneous subsystems. Each subsystem represents, using a possibly different language, partial knowledge about a subset of the whole domain, it is able to reason about such a knowledge, and it is able to exchange knowledge with other subsystems via query answering. Our approach is to represent each subsystem as a context, each context having its own language, a set of basic facts describing what is “explicitly known” by the subsystem, and a set of inference rules representing the reasoning capabilities of the subsystem. Knowledge exchange is represented by two different relations on contexts: the former on the languages (query mapping) and the latter on the domains (answer mapping) of different contexts. DFOL is based on a semantics for contextual reasoning, called Local Models Semantics, which allows to model contexts having different languages, basic knowledge, and reasoning capabilities, as well as relations between contexts. An axiomatization of DFOL is also presented.

Visiting Research Fellow from University of Trento, Italy, supported by the Italian National Research Council (CNR)

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References

  1. V. Akman and M. Surav. Steps toward Formalizing Context. AI Magazine, pages 55–72, FALL 1996.

    Google Scholar 

  2. D. Basin, S. Matthews, and L. Viganò. Labelled Modal Logics: Quantifiers. Journal of Logic, Language and Information, 7(3):237–263, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  3. T. Catarci and M. Lenzerini. Representing and using interschema knowledge in cooperative information systems. International Journal of Intelligent and Cooperative Information Systems, 2(4):375–398, 1993.

    Article  Google Scholar 

  4. M. D’Agostino. Are tableaux an improvement on truth-tables? Cut-free proofs and bivalence. Journal of Logic, Language and Information, 1:235–252, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  5. J. Dinsmore. Partitioned Representations. Kluwer Academic Publisher, 1991.

    Google Scholar 

  6. F. Donini, M. Lenzerini, D. Nardi, and A. Schaerf. Reasoning in description logics. In G. Brewka, editor, Principles of Knowledge Representation and Reasoning, Studies in Logic, Language and Information. CLSI Publications, 1996.

    Google Scholar 

  7. R. Fagin, J.Y. Halpern, Y. Moses, and M. Y. Vardi. Reasoning about knowledge. MIT Press, 1995.

    Google Scholar 

  8. D. M. Gabbay. Labelled Deductive Systems; principles and applications. Vol 1: Introduction, volume 33 of Oxford Logic Guides. Oxford University Press, 1996.

    Google Scholar 

  9. C. Ghidini. A semantics for contextual reasoning: theory and two relevant applications. PhD thesis, Department of Computer Science, University of Rome “La Sapienza”, March 1998.

    Google Scholar 

  10. F. Giunchiglia. Contextual reasoning. Epistemologia, special issue on I Linguaggi e le Macchine, XVI:345–364, 1993.

    Google Scholar 

  11. F. Giunchiglia and C. Ghidini. Local Models Semantics, or Contextual Reasoning = Locality + Compatibility. In Proc. of the 6th Int. Conference on Principles of Knowledge Representation and Reasoning (KR’98), 1998. Morgan Kaufmann.

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  13. A. Masini. 2-Sequent calculus: a proof theory of modalities. Annals of Pure and Applied Logic, 58:229–246, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  14. D. Prawitz. Natural Deduction — A proof theoretical study. Almquist and Wiksell, Stockholm, 1965.

    MATH  Google Scholar 

  15. L. Serafini and C. Ghidini. Context Based Semantics for Federated Databases. In Proceedings of the 1st International and Interdisciplinary Conference on Modeling and Using Context (CONTEXT-97), pages 33–45, Rio de Jeneiro, Brazil, 1997.

    Google Scholar 

  16. V.S. Subrahmanian. Amalgamating Knowledge Bases. ACM Trans. Database Syst., 19(2):291–331, 1994.

    Article  MathSciNet  Google Scholar 

  17. G. Wiederhold. Mediators in the architecture of future information systems. IEEE Computer, 25(3):38–49, 1992.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Ghidini, C., Serafini, L. (1999). A Context-Based Logic for Distributed Knowledge Representation and Reasoning. In: Bouquet, P., Benerecetti, M., Serafini, L., Brézillon, P., Castellani, F. (eds) Modeling and Using Context. CONTEXT 1999. Lecture Notes in Computer Science(), vol 1688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48315-2_13

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  • DOI: https://doi.org/10.1007/3-540-48315-2_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66432-1

  • Online ISBN: 978-3-540-48315-1

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