Verified Computer Algebra in ACL2 (Gröbner Bases Computation)

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Abstract

In this paper, we present the formed verification of a COMMON LISP implementation of Buchberger's algorithm for computing Gröbner bases of polynomial ideals. This work is carried out in the AcL2 system and shows how verified Computer Algebra can be achieved in an executable logic. © Springer-Verlag 2004.

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Medina-Bulo, I., Palomolozano, F., Alonso-Jiménez, J. A., & Ruiz-Reina, J. L. (2004). Verified Computer Algebra in ACL2 (Gröbner Bases Computation). Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3249, 171–184. https://doi.org/10.1007/978-3-540-30210-0_15

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