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  • 标题:A formal proof of Sasaki-Murao algorithm
  • 本地全文:下载
  • 作者:Thierry Coquand ; Anders Mörtberg ; Vincent Siles
  • 期刊名称:Journal of Formalized Reasoning
  • 印刷版ISSN:1972-5787
  • 出版年度:2012
  • 卷号:5
  • 期号:1
  • 页码:27-36
  • DOI:10.6092/issn.1972-5787/2615
  • 语种:English
  • 出版社:Alma Mater Studiorum - University of Bologna
  • 摘要:The Sasaki-Murao algorithm computes the determinant of any square matrix over a commutative ring in polynomial time. The algorithm itself can be written as a short and simple functional program, but its correctness involves non-trivial mathematics. We here represent this algorithm in Type Theory with a new correctness proof, using the Coq proof assistant and the SSReflect extension.
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