Proving formally the implementation of an efficient gcd algorithm for polynomials

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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. © Springer-Verlag Berlin Heidelberg 2006.

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Mahboubi, A. (2006). Proving formally the implementation of an efficient gcd algorithm for polynomials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4130 LNAI, pp. 438–452). Springer Verlag. https://doi.org/10.1007/11814771_37

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