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A numerical computation for declarative expressions

  • 2 Theory and Methods
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1333))

Abstract

Theory and techniques allowing the inference of precise declarations from a multivalued table are developed. The concepts of cartesian subuniverse and cartesian cosubuniverse are presented, together with a symbolic notation that allows the expression of definitions and theorems in compact array and coarray form. This symbolic notation also provides straight forward computational techniques to deal efficiently with the involved inductive or deductive calculi.

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References

  1. G. Fiol, J. Mire Nicolau and J. Miro-Julia. A New Perspective in the Inductive Acquisition of Knowledge from Examples. In Lecture Notes of Computer Science, 682, pages 219–228,1992.

    Google Scholar 

  2. R.S.Michalski, I.Mozetic,J. Hong and N. Lavrac The Multi-purpose incremental system AQ15 and its testing application to three medical domains. In Proc. of the American Association for AI Conference, Philadelphia, 1986.

    Google Scholar 

  3. J. Mire, and M. Miro-Julia. Equality of Functions in CAST. In Proceedings of the Fifth International Workshop on Computer Aided Systems Theory-EUROCAST-95, pages 129–136, 1995.

    Google Scholar 

  4. Z. Pawlak. Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publisher, 1991.

    Google Scholar 

  5. J.R. Quinlan. Induction of Decision Trees. Machine Learning, 1:81–106,1986.

    Google Scholar 

  6. R. Wille. Restructuring lattice theory: an approach based on hierarchies of concepts. In I. Rival, editor, Ordered Sets, pages 445–470. Reidel, Dordrecht, Boston, 1982.

    Google Scholar 

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Franz Pichler Roberto Moreno-Díaz

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© 1997 Springer-Verlag Berlin Heidelberg

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Miro, J., Miro-Julia, M. (1997). A numerical computation for declarative expressions. In: Pichler, F., Moreno-Díaz, R. (eds) Computer Aided Systems Theory — EUROCAST'97. EUROCAST 1997. Lecture Notes in Computer Science, vol 1333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0025047

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  • DOI: https://doi.org/10.1007/BFb0025047

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63811-7

  • Online ISBN: 978-3-540-69651-3

  • eBook Packages: Springer Book Archive

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