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From Deduction to Induction: Logical Perspective

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The Logic Programming Paradigm

Part of the book series: Artificial Intelligence ((AI))

Summary

This paper describes how Inductive Logic Programming is related to Logic Programming. It first introduces Model Inference System developed by Ehud Shapiro and then new Inductive Logic Programming technologies. It shows the technical progress from “subsumption” to “logical entailment” and insists the importance of utilizing “background knowledge.” A new computational model for computing induction is presented. It is defined by an iteration consisting of the computation of the Most Specific Hypothesis (MSH) and search in a reduced concept lattice brought by the MSH. This computation model provides an efficient algorithm for computing induction in terms of deduction followed by an efficient search algorithm. This implies that the inversion of deduction can be solved rather efficiently when the problem is restricted to Horn clauses.

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References

  1. Furukawa, K., Murakami, T., Ueno, K., Ozaki, T., Shimaze, K. On a Sufficient Condition for the Existence of Most Specific Hypothesis in Progol, Proc. of ILP-97, Lecture Notes in Artificial Intelligence 1297, Springer-Verlag, 157 –164, 1997.

    Google Scholar 

  2. Furukawa, K. On the Completion of the Most Specific Hypothesis in Inverse Entailment for Mutual Recursion and Abductive ILP Setting, Proceedings of 32nd SIG-FAI, JSAI, March 1998 (in Japanese).

    Google Scholar 

  3. Moyle, S., Muggleton, S. Learning Programs in the Event Calculus, Proc. of ILP-97, Lecture Notes in Artificial Intelligence 1297, Springer-Verlag, 205 –212, 1997.

    Google Scholar 

  4. Muggleton, S. Inverting Implication, Proc. of ILP92, 19 –39, ICOT Technical Memorandum: TM-1182, 1992.

    Google Scholar 

  5. Muggleton, S. Inverse Entailment and Progol, New Generation Computing, Vol. 13, 245–286, 1995.

    Article  Google Scholar 

  6. Muggleton, S. Completing Inverse Entailments, Proc. of ILP98, Lecture Notes in Artificial Intelligence 1446, Springer-Verlag, pp. 245–249, 1998.

    Google Scholar 

  7. Murakami, T., Furukawa, K., Ozaki, T. Realization of Abduction by Inverse Entailment and its Equivalence to Partial Deduction, Proceedings of 32nd SIG- FAI, JSAI, March 1998.

    Google Scholar 

  8. Ozaki, T., Furukawa, K., Murakami, T., Ueno, K. Realizing Progol by Forward Reasoning, Proc. of ILP-97, Lecture Notes in Artificial Intelligence 1297, Springer-Verlag, 227–234, 1997.

    Google Scholar 

  9. Plotkin, G.D. Automatic Method of Inductive Inference, PhD thesis, Edinburgh University, 1971.

    Google Scholar 

  10. Yamamoto, A. Improving Theories for Inductive Logic Programming Systems with Ground Reduced Programs. Technical Report, Forschungsbericht AIDA- 96–19 FG Intellektik FB Informatik TH Darmstadt, 1996.

    Google Scholar 

  11. Yamamoto, A. Which Hypotheses Can Be Found with Inverse Entailment? Proc. of ILP-97, Lecture Notes in Artificial Intelligence 1297, Springer-Verlag, 296–308, 1997.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Furukawa, K. (1999). From Deduction to Induction: Logical Perspective. In: Apt, K.R., Marek, V.W., Truszczynski, M., Warren, D.S. (eds) The Logic Programming Paradigm. Artificial Intelligence. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60085-2_15

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  • DOI: https://doi.org/10.1007/978-3-642-60085-2_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64249-4

  • Online ISBN: 978-3-642-60085-2

  • eBook Packages: Springer Book Archive

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