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Using normal deduction graphs in default reasoning

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Methodologies for Intelligent Systems (ISMIS 1991)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 542))

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Abstract

This paper presents a formalization of commonsense reasoning by using normal deduction graphs (NDGs), which form a powerful tool for deriving Horn and non-Horn clauses, based on Kleene's three-valued logic. We show how NDGs, in conjunction with default logic, can be used to answer queries of commonsense reasoning by developing a formalization with results which are consistent with Etherington's ordered network theory. Index terms: Artificial intelligence, commonsense reasoning, default reasoning, first-order logic, inference, logic programming, normal deduction graph.

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References

  1. de Kleer, J., “An Assumption-based TMS,” Artificial Intelligence, 28 (1986), 127–162.

    Google Scholar 

  2. de Kleer, J., “Extending the ATMS,” Artificial Intelligence, 28 (1986), 163–196.

    Google Scholar 

  3. Etherington, D. W., Reasoning with Incomplete Information, Morgan Kaufmann, 1988.

    Google Scholar 

  4. Etherington, D. W., “Formalizing Nonmonotonic Reasoning Systems,” Artificial Intelligence, 31 (1987), 41–85.

    Google Scholar 

  5. Ginsberg, M. L., “A Circumscriptive Theorem Prover,” Artificial Intelligence, 39 (1989), 209–230.

    Google Scholar 

  6. Hanks, S. and D. McDermott, “Nonmonotonic Logic and Temporal Projection,” Artificial Intelligence, 33 (1987), 379–412.

    Google Scholar 

  7. Horng, W. B. and C. C. Yang, “A Shortest Path Algorithm to find Minimal Deduction Graphs,” Data and Knowledge Engineering, 6 (1991), 27–46, North-Holland.

    Google Scholar 

  8. Kleene, S. C., Introduction to Metamathematics, Van Nostrand, New York, 1952.

    Google Scholar 

  9. McCarthy, J., “Circumscription — A form of Non-monotonic Reasoning,” Artificial Intelligence, 13 (1980), 27–39.

    Google Scholar 

  10. McCarthy, J., “Applications of Circumscription to Formalizing Common-sense Knowledge,” Artificial Intelligence, 28 (1986), 86–116.

    Google Scholar 

  11. Reiter, R., “A Logic for Default Reasoning,” Artificial Intelligence, 13 (1980), 81–132.

    Google Scholar 

  12. Yang, C. C., “Extending Deduction Graphs for Inferring and Redundancy Checking Function-Free Rules,” presented at Second International Symposium on Methodologies for Intelligent Systems, Colloquia Program, Charlotte, N. C., (Oct. 17, 1987).

    Google Scholar 

  13. Yang, C. C., “Deduction Graphs: An Algorithm and Applications,” IEEE Trans. on Software Engineering, 15, 1 (Jan. 1989), 60–67.

    Google Scholar 

  14. Yang, C. C., “An Algorithm for Logically Deducing Horn Clauses and Processing Logic Queries,” International J. of Pattern Recognition and Artificial Intelligence, 1, 1 (1987), 157–168.

    Google Scholar 

  15. Yang, C. C., J. J. Y. Chen, and H. L. Chau, “Algorithms for Constructing Minimal Deduction Graphs,” IEEE Trans. on Software Engineering, 16, 6 (June 1989), 760–770.

    Google Scholar 

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Z. W. Ras M. Zemankova

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© 1991 Springer-Verlag Berlin Heidelberg

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Munoz, R.A., Yang, CC. (1991). Using normal deduction graphs in default reasoning. In: Ras, Z.W., Zemankova, M. (eds) Methodologies for Intelligent Systems. ISMIS 1991. Lecture Notes in Computer Science, vol 542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54563-8_84

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  • DOI: https://doi.org/10.1007/3-540-54563-8_84

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54563-7

  • Online ISBN: 978-3-540-38466-3

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