Verified Computer Algebra in Acl2

Inmaculada Medina‐Bulo,Francisco Palomo-Lozano,José A. Alonso-Jiménez,José–Luis Ruiz–Reina

Artificial Intelligence and Symbolic Computation（2004）

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摘要

In this paper, we present the formal 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.

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关键词

Decision Procedure, Computer Algebra, Computer Algebra System, Polynomial Ideal, Proof Step

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