Proving and Computing: a certified version of the Buchberger’s algorithm
نویسنده
چکیده
This paper shows on a non-trivial example that it is possible to mix proving and computing using current technologies. We present a proof of the Buchberger's algorithm that has been developed in the Coq proof assistant. The formulation of the algorithm in Coq can then be eeciently compiled and used to do computation. Preuve et Calcul Formel: une version certiiie de l'algorithme de Buchberger RRsumm : Ce papier montre sur un exemple non trivial qu'il est possible, avec les technologies actuelles, de conjuguer preuve et calcul formel. Nous prrsentons une preuve de l'algorithme de Buchberger ddveloppe sous l'assistant de preuve Coq. L'algorithme deeni dans Coq peut alors tre eecacement compill et utiliss pour le calcul formel.
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