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Decision Complexity in Dynamic Geometry

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Automated Deduction in Geometry (ADG 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2061))

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Abstract

Geometric straight-line programs [5,9] can be used to model geometric constructions and their implicit ambiguities. In this paper we discuss the complexity of deciding whether two instances of the same geometric straight-line program are connected by a continuous path, the Complex Reachability Problem.

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Author information

Authors and Affiliations

  1. Institut für Informatik, Freie Universität Berlin, Takustr. 9, D-14195, Berlin, Germany

    Ulrich Kortenkamp

  2. Zentrum Mathematik, SB4, Technische Universität München, D-80290, München, Germany

    Jürgen Richter-Gebert

Authors
  1. Ulrich Kortenkamp
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  2. Jürgen Richter-Gebert
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Editors and Affiliations

  1. Zentrum Mathematik, SB4, Technische Universität München, 80290, München, Germany

    Jürgen Richter-Gebert

  2. Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie — CNRS, 4 place Jussieu, 75252, Paris Cedex 05, France

    Dongming Wang

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© 2001 Springer-Verlag Berlin Heidelberg

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Kortenkamp, U., Richter-Gebert, J. (2001). Decision Complexity in Dynamic Geometry. In: Richter-Gebert, J., Wang, D. (eds) Automated Deduction in Geometry. ADG 2000. Lecture Notes in Computer Science(), vol 2061. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45410-1_12

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  • DOI: https://doi.org/10.1007/3-540-45410-1_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42598-4

  • Online ISBN: 978-3-540-45410-6

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