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Affine geometry of collinearity and conditional term rewriting

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Term Rewriting (TCS School 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 909))

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Abstract

A geometrical figure is a relation on a finite set of points. Its properties can be expressed using equations between first order terms. A terminating and confluent conditional term rewriting system will prove some theorems of the affine geometry of collinearity. A narrowing-based unification algorithm will solve every system of geometrical equations in the language of affine geometry of collinearity.

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Authors and Affiliations

  1. Institut de recherche en informatique de Toulouse, France

    Philippe Balbiani & Luis Fariñas del Cerro

Authors
  1. Philippe Balbiani
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  2. Luis Fariñas del Cerro
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Hubert Comon Jean-Pierre Jounnaud

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© 1995 Springer-Verlag Berlin Heidelberg

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Balbiani, P., del Cerro, L.F. (1995). Affine geometry of collinearity and conditional term rewriting. In: Comon, H., Jounnaud, JP. (eds) Term Rewriting. TCS School 1993. Lecture Notes in Computer Science, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59340-3_14

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  • DOI: https://doi.org/10.1007/3-540-59340-3_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59340-9

  • Online ISBN: 978-3-540-49237-5

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