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A System for Computing and Reasoning in Algebraic Topology

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Intelligent Computer Mathematics (CICM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6824))

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Abstract

In this paper we present the fKenzo system, an integral assistant for teaching and research in (a subset of) Algebraic Topology. The fKenzo system provides a friendly graphical user interface which allows the user to interact with both the Kenzo and GAP Computer Algebra systems and, also, with the ACL2 Theorem Prover by means of an intermediary layer based on XML technology.

Partially supported by Ministerio de Educación y Ciencia, project MTM2009-13842- C02-01.

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References

  1. GAP - Groups, Algorithms, Programming - System for Computational Discrete algebra, http://www.gap-system.org

  2. Dousson, X., Rubio, J., Sergeraert, F., Siret, Y.: The Kenzo program. Institut Fourier, Grenoble (1998), http://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

  3. Ellis, G.: HAP package for GAP (2009), http://www.gap-system.org/Packages/hap.html

  4. Freundt, S., Horn, P., Konovalov, A., Lindon, S., Roozemond, D.: Symbolic Computation Software Composability Protocol (SCSCP) specification, version 1.3 (2009), http://www.symbolic-computation.org/scscp

  5. Heras, J.: The fKenzo program. University of La Rioja (2010), http://www.unirioja.es/cu/joheras/fKenzo/

  6. Heras, J., Pascual, V., Rubio, J., Sergeraert, F.: fKenzo: A user interface for computations in Algebraic Topology. Journal of Symbolic Computation 46(6), 685–698 (2011)

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  7. Kaufmann, M., Moore, J.S.: ACL2, http://www.cs.utexas.edu/users/moore/acl2/

  8. Romero, A., Ellis, G., Rubio, J.: Interoperating between computer algebra systems: computing homology of groups with Kenzo and GAP. In: Proceedings 34th International Symposium on Symbolic and Algebraic Computation (ISSAC 2009), pp. 303–310 (2009)

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  9. Solomon, A., Costantini, M.: GAP package OpenMath (2009), http://www.gap-system.org/Packages/openmath.html

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of La Rioja, Spain

    Jónathan Heras, Vico Pascual & Julio Rubio

Authors
  1. Jónathan Heras
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  2. Vico Pascual
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  3. Julio Rubio
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Editor information

Editors and Affiliations

  1. Departments of Computer Science and Mathematics Sciences, University of Bath, BA2 7AY, United Kingdom

    James H. Davenport

  2. Department of Computing and Software, McMaster University, 1280 Main Street West, L8SK1, Hamilton, Ontario, Canada

    William M. Farmer

  3. Institute for Computing and Information Sciences, Radboud University, Heyendaalseweg 135, 6525 AJ, Nijmegen, The Netherlands

    Josef Urban

  4. Department of Computer Science, Jacobs University Bremen, Campus Ring 12, 28759, Bremen, Germany

    Florian Rabe

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© 2011 Springer-Verlag Berlin Heidelberg

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Heras, J., Pascual, V., Rubio, J. (2011). A System for Computing and Reasoning in Algebraic Topology. In: Davenport, J.H., Farmer, W.M., Urban, J., Rabe, F. (eds) Intelligent Computer Mathematics. CICM 2011. Lecture Notes in Computer Science(), vol 6824. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22673-1_26

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  • DOI: https://doi.org/10.1007/978-3-642-22673-1_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22672-4

  • Online ISBN: 978-3-642-22673-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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