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Generalizing Refinement Operators to Learn Prenex Conjunctive Normal Forms

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Inductive Logic Programming (ILP 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1634))

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Abstract

Inductive Logic Programming considers almost exclusively universally quantified theories. To add expressiveness we should consider general prenex conjunctive normal forms (PCNF) with existential variables. ILP mostly uses learning with refinement operators. To extend refinement operators to PCNF, we should first extend substitutions to PCNF. If one substitutes an existential variable in a formula, one often obtains a specializtion rather than a generalization. In this article we define substitutions to specialize a given PCNF and a weakly complete downward refinement operator. Based on this operator, we have implemented a simple learning system PCL on some type of PCNF.

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References

  1. L. De Raedt, Logical settings for concept learning, AI Journal, 95:187–201, 1997.

    MATH  Google Scholar 

  2. L. De Raedt and L. Dehaspe, Clausal discovery, Machine Learning, 26:99–146, 1997.

    Article  MATH  Google Scholar 

  3. M. Goncalves and C. Froidevaux, A new formalism to integrate quantification in inductive processes, Proceedings of ILP96, S. Muggleton (ed.) Vol. 1314 of LNAI series, 1997, Springer, Berlin.

    Google Scholar 

  4. P. van der Laag and S. H. Nienhuys-Cheng, Existence and nonexistence of complete refinement operators, Proceedings of ECML94, Vol. 784 of LNAI series, F. Bergadano and L. De Raedt (eds.). Springer-Verlag, Berlin, 1994.

    Google Scholar 

  5. J.-M. Nicolas, Logic for Improving Integrity Checking in Relational Data Bases, Informatica, 1982, Springer-Verlag.

    Google Scholar 

  6. S. H. Nienhuys-Cheng, W. Van Laer, L. De Raedt, Substitutions and Refinement operator for PCNF, Work Report, EUR-FEW-CS-99-03.

    Google Scholar 

  7. S. H. Nienhuys-Cheng and R. de Wolf, Foundations of Inductive Logic Programming, LNAI Tutorial 1228, Springer-Verlag, 1997.

    Google Scholar 

  8. E. Y. Shapiro, Inductive inference of theories from facts. Research Report 192, Yale University, 1981.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Nienhuys-Cheng, SH., Van Laer, W., Ramon, J., De Raedt, L. (1999). Generalizing Refinement Operators to Learn Prenex Conjunctive Normal Forms. In: Džeroski, S., Flach, P. (eds) Inductive Logic Programming. ILP 1999. Lecture Notes in Computer Science(), vol 1634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48751-4_23

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  • DOI: https://doi.org/10.1007/3-540-48751-4_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66109-2

  • Online ISBN: 978-3-540-48751-7

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