Hilbert's Tenth Problem in Coq (Extended Version)

We formalise the undecidability of solvability of Diophantine equations, i.e. polynomial equations over natural numbers, in Coq's constructive type theory. To do so, we give the first full mechanisation of the Davis-Putnam-Robinson-Matiyasevich theorem, stating that every recursively enumerable...

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Bibliographic Details
Main Authors: Dominique Larchey-Wendling, Yannick Forster
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6195/pdf