Modelling Differential Structures in Proof Assistants: The Graded Case

Aransay, Jesús; Domínguez, César

doi:10.1007/978-3-642-04772-5_27

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2010

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“…This paper continues our previous work in translating Sergeraert's ideas to theorem provers [2][3][4]1], with the aim of formalizing this part of algorithmic mathematics and, more importantly, of applying formal methods to the study of the Kenzo system [12] (a Common Lisp program developed by Sergeraert to implement effective homology algorithms). The first important milestone in this area was the mechanized proof in the Isabelle/HOL proof assistant of the Basic Perturbation Lemma (BPL), published in [2].…”

Section: Introductionmentioning

confidence: 75%