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A Formalization of the Smith Normal Form in Higher-Order Logic

This work presents formal correctness proofs in Isabelle/HOL of algorithms to transform a matrix into Smith normal form, a canonical matrix form, in a general setting: the algorithms are written in an abstract form and parameterized by very few simple operations. We formally show their soundness pro...

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Detalles Bibliográficos
Autores principales: Divasón, Jose, Thiemann, René
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9637085/
https://www.ncbi.nlm.nih.gov/pubmed/36353683
http://dx.doi.org/10.1007/s10817-022-09631-5