Verified Computer Algebra in Acl2
- Cite this paper as:
- Medina-Bulo I., Palomo-Lozano F., Alonso-Jiménez J.A., Ruiz-Reina J.L. (2004) Verified Computer Algebra in Acl2. In: Buchberger B., Campbell J. (eds) Artificial Intelligence and Symbolic Computation. AISC 2004. Lecture Notes in Computer Science, vol 3249. Springer, Berlin, Heidelberg
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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