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Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials

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Automated Reasoning (IJCAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4130))

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Abstract

We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresultants algorithm. Up to our knowledge it is the first mechanized proof of this result.

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Author information

Authors and Affiliations

  1. INRIA Sophia-Antipolis, 2204, routes des Lucioles, B.P. 93, 06902, Sophia Antipolis Cedex, France

    Assia Mahboubi

Authors
  1. Assia Mahboubi
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Artificial Intelligence Research Group, University of Koblenz-Landau, Universitätsstr. 1, 56070, Koblenz

    Ulrich Furbach

  2. SRI International, MS EL256,, 333 Ravenswood Avenue, 94025-3493, Menlo Park, CA, USA

    Natarajan Shankar

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Mahboubi, A. (2006). Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_37

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  • DOI: https://doi.org/10.1007/11814771_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37187-8

  • Online ISBN: 978-3-540-37188-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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