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A machine-checked implementation of Buchberger's algorithm

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Publication:1595926
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DOI10.1023/A:1026518331905zbMath0964.03012OpenAlexW2007116092MaRDI QIDQ1595926

Laurent Théry

Publication date: 18 February 2001

Published in: Journal of Automated Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026518331905


zbMATH Keywords

Gröbner basestheorem provingcomputer algebraprogram verification


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Mechanization of proofs and logical operations (03B35)


Related Items (8)

Commutative algebra in the Mizar system ⋮ Providing a formal linkage between MDG and HOL ⋮ Admissible ordering on monomials is well-founded: a constructive proof ⋮ A generic and executable formalization of signature-based Gröbner basis algorithms ⋮ Certifying properties of an efficient functional program for computing Gröbner bases ⋮ Mathematical Theory Exploration in Theorema: Reduction Rings ⋮ Constructive Formalization of Hybrid Logic with Eventualities ⋮ A verified common lisp implementation of Buchberger's algorithm in ACL2


Uses Software

  • Coq
  • Theorema
  • Mizar
  • Nuprl





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