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What is a skeptical proof?

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KI-95: Advances in Artificial Intelligence (KI 1995)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 981))

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Abstract

We investigate the task of skeptically reasoning in extension-based, nonmonotonic logics by concentrating on general argumentation theories. The restricted applicability of Dung's notion of skeptical provability in his well-known argumentation framework is illustrated, and a new approach based on the notion of a claim associated with each argument is proposed. We provide a formal definition of a skeptical proof in our framework. As a concrete formalism, default logic in case of normal default theories is embedded in the general framework. We prove a formal correspondence between the two notions of skeptical provability, which enables us to adopt the general concept of a skeptical proof into default logic.

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References

  1. P. M. Dung. On the acceptability of arguments and its fundamental role in non-monotonic reasoning and logic programming. In R. Bajcsy, ed., Proc. of IJCAI, p. 852–857, Chambéry, France, Aug. 1993. Morgan Kaufmann.

    Google Scholar 

  2. H. B. Enderton. A Mathematical Introduction to Logic. Academic Press 1972.

    Google Scholar 

  3. R. C. Moore. Semantical considerations on nonmonotonic logics. Artif. Intell., 25:75–94, 1985.

    Google Scholar 

  4. D. Poole. A Logical Framework for Default Reasoning. Artif. Intell., 36(1):27–47, 1988.

    Google Scholar 

  5. D. Poole. Compiling a Default Reasoning System into Prolog. New Generation Computing, 9(1):3–38, 1991.

    Google Scholar 

  6. R. Reiter. A Logic for Default Reasoning. Artif. Intell., 13:81–132, 1980.

    Google Scholar 

  7. T. Schaub and M. Thielscher. Skeptical Query-Answering in Constrained Default Logic. In G. Brewka, ed., Dutch/German Workshop on Nonmonotonic Reasoning, Utrecht, The Netherlands, March 1995.

    Google Scholar 

  8. C.B. Schwind. A Tableau-Based Theorem Prover for a Decidable Subset of Default Logic. In M. E. Stickel, ed., Proc. of CADE, vol. 449 of LNAI, p. 528–542. Kaiserslautern, Germany, July 1990. Springer.

    Google Scholar 

  9. M. Thielscher. On prediction in Theorist. Artif. Intell., 60(2):283–292, 1993.

    Google Scholar 

  10. M. Thielscher and T. Schaub. Default Reasoning by Deductive Planning. Journal of Automated Reasoning. 1995.

    Google Scholar 

  11. S. E. Toulmin. The Uses of Argument. Cambridge, University Press, 1958.

    Google Scholar 

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Ipke Wachsmuth Claus-Rainer Rollinger Wilfried Brauer

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© 1995 Springer-Verlag Berlin Heidelberg

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Thielscher, M. (1995). What is a skeptical proof?. In: Wachsmuth, I., Rollinger, CR., Brauer, W. (eds) KI-95: Advances in Artificial Intelligence. KI 1995. Lecture Notes in Computer Science, vol 981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60343-3_34

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  • DOI: https://doi.org/10.1007/3-540-60343-3_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60343-6

  • Online ISBN: 978-3-540-44944-7

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